Please help me how to solve this step by step and the answer PLEASE AND ASAP

Please Help Me How To Solve This Step By Step And The Answer PLEASE AND ASAP

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Area of a triangle is the height times the base divided by two. This triangle does not have a height that would work for this equation, so we will make a 'ghost' triangle of sorts to help us.  I have drawn this in with dotted lines.

We know total height (2.8), and so we can make 'fake' right triangle (look at picture) and attatch it to the real traingle. This way, we have a height that works for our triangle equation. But by doing so, we need to find the new base of our new triangle. We can't use 5. This is done with Pythagorean theorem, where we find the base of our 'ghost' triangle, which is 1.01. The new base, then, is 5+1.01= 6.01.

With our base and height we can solve for total area.

2.8*(6.01)/2=8.507

BUT, this is only for when we add the ghost triangle. THIS ISN'T REAL. We need to get rid of the fake triangle area to find the real area.

The ghost triangle area is 1.507.

So, 8.507-1.507= 7

Please Help Me How To Solve This Step By Step And The Answer PLEASE AND ASAP

Related Questions

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

Which drive-thru typically has less wait time, and why?

Fast Chicken, because it has a smaller median
Fast Chicken, because it has a smaller mean
Super Fast Food, because it has a smaller median
Super Fast Food, because it has a smaller mean

Answers

The correct answer is: Super Fast Food, because it has a smaller median.

What is the median?

The median is a measure of central tendency that represents the middle value in a set of data when the data is arranged in ascending or descending order.

Based on the given information, Super Fast Food typically has less wait time compared to Fast Chicken.

The median is the middle value in a set of data, and it is often used as a measure of central tendency in box plots. In this case, the median for Super Fast Food is 12, while the median for Fast Chicken is 12.5. Since the median for Super Fast Food is smaller than the median for Fast Chicken, it suggests that the wait times at Super Fast Food are generally lower than those at Fast Chicken.

Hence, the correct answer is: Super Fast Food, because it has a smaller median.

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Solve the system using linear combination. Show all work.

{3x+4y=21

{5x+4y=11

Answers

Therefore, the solution to the system of equation is (x, y) = (-5, 9).

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side and the right-hand side, separated by an equals sign (=). An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To solve the system using linear combination, we want to eliminate one of the variables by adding the two equations together.

{3x + 4y = 21

{5x + 4y = 11

Notice that if we subtract the first equation from the second, we get:

(5x + 4y) - (3x + 4y) = 11 - 21

2x = -10

x = -5

Now we can substitute x = -5 into either of the original equations and solve for y:

3x + 4y = 21

3(-5) + 4y = 21

-15 + 4y = 21

4y = 36

y = 9

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During a snowstorm, Annabelle tracked the amount of snow on the ground. When
the storm began, there were 3 inches of snow on the ground. Snow fell at a constant
rate of 1 inch per hour until another 4 inches had fallen. The storm then stopped for 6
hours and then started again at a constant rate of 2 inches per hour for the next 5
hours. As soon as the storm stopped again, the sun came out and melted the snow for
the next 7 hours at a constant rate of 2 inches per hour. Make a graph showing the
inches of snow on the ground over time using the data that Annabelle collected.

Answers

The graph will have a horizontal line from 4 to 15 hours (since there is no change in snow depth during that time) and two downward sloping lines from 0 to 4 hours and from 15 to 22 hours (representing snowfall and snow melt, respectively)

How to draw a graph?

To make a graph of the inches of snow on the ground over time, we can use the following steps:

We can divide the time into different intervals based on the snowfall, the break in the storm, and the snow melt. We have:

Snowfall for the first 4 hours (at a rate of 1 inch per hour).Break in the storm for 6 hours.Snowfall for the next 5 hours (at a rate of 2 inches per hour).Snow melt for the next 7 hours (at a rate of 2 inches per hour).

We can then calculate the inches of snow on the ground at the end of each interval, starting with the initial 3 inches of snow. We have:

After 4 hours of snowfall: 3 + 4(1) = 7 inches of snow on the ground.After 10 hours (4 hours of snowfall + 6 hours of break): 7 inches of snow on the ground.After 15 hours (10 hours + 5 hours of snowfall): 7 + 5(2) = 17 inches of snow on the ground.After 22 hours (15 hours + 7 hours of snow melt): 17 - 7(2) = 3 inches of snow on the ground.

We can now plot these points on a graph with time (in hours) on the x-axis and inches of snow on the y-axis. The graph will have four points: (0,3), (4,7), (15,17), and (22,3).

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the mean life of a television set is 97 months with a variance of 169 . if a sample of 59 televisions is randomly selected, what is the probability that the sample mean would be less than 100.9 months? round your answer to four decimal places.

Answers

The probability that the sample mean would be less than 100.9 months is approximately 0.9600.

We can use the central limit theorem to approximate the sampling distribution of the sample mean as a normal distribution with a mean of 97 months (the population mean) and a standard deviation of σ/√n, where σ is the population standard deviation and n is the sample size.

The standard deviation of the sampling distribution can be calculated as follows

σ/√n = √(169)/√59 = 2.065

Therefore, the z-score corresponding to a sample mean of 100.9 months is

z = (100.9 - 97) / 2.065 = 1.75

Using a standard normal distribution table or calculator, we can find that the probability of obtaining a z-score less than 1.75 is approximately 0.9599.

Therefore, the probability that the sample mean would be less than 100.9 months is approximately 0.9599.

Rounding this to four decimal places, we get

P(x < 100.9) ≈ 0.9600

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The minimum graph of the equation y = j(x) is (- 1, - 2) What is the minimum point on the graph of the equation y = f(x) + 7 ?

Answers

Answer:

We don't have enough information to answer this question because we don't know the relationship between the functions f(x) and j(x). The fact that the minimum graph of y = j(x) is (-1,-2) only tells us about the behavior of j(x), not f(x).

If we had more information about the relationship between the two functions, we might be able to use the fact that the minimum graph of y = j(x) is (-1,-2) to make some inferences about the minimum point on the graph of y = f(x) + 7. However, without additional information, we cannot provide a specific answer to this question.

tell whether the ordered pair is a solution of the inequality. 2z less than 15; z =11

Answers

The ordered pair (z, 11) is not a solution of the inequality.

Explain inequality

An inequality is a statement that compares two values, expressing that one value is greater than or less than the other, or that they are not equal. Inequalities are represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to). They are used to describe relationships between numbers, variables, and expressions.

According to the given information

To determine whether the ordered pair (z, 11) is a solution of the inequality 2z < 15, we need to substitute z = 11 into the inequality and see if it is true or false:

2z < 15

2(11) < 15

22 < 15 (this is false)

Since 22 is not less than 15, the ordered pair (z, 11) is not a solution to the inequality.

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Consider w1 = 4 + 2i and w2 = –1 – 3i. Which graph represents the sum w1 + w2? On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line goes from (0, 0) to point (3, negative 5). On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line goes from (0, 0) to point (3, negative 1). On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line goes from (0, 0) to point (5, 5). On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line goes from (0, 0) to point (5, 1).

Answers

The graph that  represents the sum w1 + w2 is: b. A line goes from (0, 0) to point (3, negative 1). On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real.

What  graph represents the sum w1 + w2?

To find the sum of w1 and w2, we simply add their real and imaginary parts separately:

w1 + w2 = (4 + 2i) + (-1 - 3i) = 3 - i

So the real part of the sum is 3, and the imaginary part is -1. Therefore, the sum w1 + w2 corresponds to the point (3, -1) on the coordinate plane.

The graph that represents this point is option (b), where a line goes from (0, 0) to point (3, -1) on a coordinate plane with the y-axis labeled imaginary and the x-axis labeled real. The other options do not represent the correct point or are not lines passing through the origin.

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state the name of this figure..50 points​

Answers

Answer:

Parallelogram

Step-by-step explanation:

given that the opposite sides are parallel, then

the figure is a parallelogram

Restaurant Revenue

In this activity, you will create quadratic inequalities in one variable and use them to solve problems. Read this scenario, and then use the information to answer the questions that follow.


Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.


Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions.


Part A

Question

Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.


Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line

Answers

The cost per customer becomes $( 10+ x) and the average number of customers can be represented as (16 - 2x). Also the inequality equation is 160 - 4x -2[tex]x^{2}[/tex]  [tex]\geq[/tex] 130 to maintain minimum revenue of $130 after rising price by x number of times by $1 as 2 customers leave on average per hour.

Let x represents the number of $1 increases in the cost of the buffet.

Noah manages a buffet at a local restaurant and charges  $10 for the buffet.

On average, 16 customers choose the buffet as their meal every hour.

That is, the average revenue from 16 customers is = $(10*16)= $160

After surveying Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour.

That is, as cost of buffet for every hour rises by $x from $10 we get, $ (10+x) , and the average number of customers who select the buffet will decrease by 2 per hour.

The new average number of customers per hour after rise in cost of buffet by $x is (16 -2x).

This implies, the revenue earned now is = $(16- 2x)(10 + x) = $(160 + 16x - 20x -2[tex]x^{2}[/tex] ) = $ (160 - 4x -2[tex]x^{2}[/tex] )

The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.

Thus, after the increase in price by $x per hour , the inequality equation that helps Noah to pick best pricing decisions will be ,

160 - 4x -2[tex]x^{2}[/tex]  [tex]\geq[/tex] 130

Here, cost per customer becomes $( 10+ x) and the average number of customers can be represented as (16 - 2x).

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if nurse susan jones day includes seven trips from the nursing pod to each of the 12 rooms back and forth, 20 trips to the central medical supply, six trips to the break room, and 12 trips to the pod linen supply, how many miles does she walk during her shift? what are the differences in the travel times between the two nurses for the random day?

Answers

Nurse Susan Jones would walk a total of 16,000 feet or approximately 3.03 miles during her shift.
Without knowing the travel times of the two nurses, it is not possible to determine the differences in their travel times for a random day.

Assuming that each trip from the nursing pod to a room and back is approximately 50 feet and each trip to the central medical supply, break room, and linen supply is approximately 100 feet, nurse Susan Jones would walk a total of:
- 7 trips to each of the 12 rooms = 7 x 12 x 2 x 50 feet = 8,400 feet
- 20 trips to the central medical supply = 20 x 2 x 100 feet = 4,000 feet
- 6 trips to the break room = 6 x 2 x 100 feet = 1,200 feet
- 12 trips to the pod linen supply = 12 x 2 x 100 feet = 2,400 feet
Therefore, nurse Susan Jones would walk a total of 16,000 feet or approximately 3.03 miles during her shift.

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Nurse Susan Jones would walk nearly 34.4 miles during her shift.

Assuming that Nurse Susan Jones walks an average of 0.2 miles per round trip, she would walk approximately 34.4 miles during her shift (7 trips x 12 rooms x 2 round trips x 0.2 miles per round trip + 20 trips x 2 round trips x 0.2 miles per round trip + 6 trips x 2 round trips x 0.2 miles per round trip + 12 trips x 2 round trips x 0.2 miles per round trip).

Unfortunately, there is not enough information provided to calculate the differences in travel times between two nurses on a random day. It would depend on factors such as the number and location of rooms each nurse is responsible for, the location of the medical supply and break room, and any additional tasks or responsibilities each nurse has during their shift.

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what is the answer to the question

Answers

The least to the greatest of the amount of gas bought each day last week are Tuesday, Thursday, Friday, Wednesday and Monday.

How to find the gas purchased from least to greatest?

Chaz kept a record of how many gallons of gas he purchase everyday last week.

Therefore, the correct order of the least amount of gas purchased to the greatest amount of gas purchased can be represented as follows:

Therefore,

Tuesday = 3.7

Thursday = 3.73

Friday = 4.253

Wednesday = 4.256

Monday = 4.6

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Chase is moving and must rent a truck. There is an initial charge of $35 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Chase were to drive m miles.

Answers

The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

What is the equation?

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

The equation would be:

C is the total cost and m is the miles driven.

We know that:
Charge of the truck: $35

Charge per mile: $2.50

Then, form the equation as follows:

C = 35 + 2.50m

Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

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Can someone help me asap? It’s due today

Answers

Answer:
Simulation

Explanation:

which linear optimization outcome is not possible? multiple optimal solutions are found a unique optimal solution is found solver requests to change a constraint there is an unbounded solution

Answers

The option that linear optimization outcome is not possible is option (d) there is an unbounded solution

In linear optimization, a problem is said to be unbounded if there exists at least one feasible solution with an objective value that can be made infinitely large (or small) by increasing (or decreasing) the value of one or more decision variables without violating any of the problem's constraints. An unbounded solution is not a feasible or practical solution since it implies that there is no limit to how much the objective function can be improved.

On the other hand, it is possible to have multiple optimal solutions (a), a unique optimal solution (b), or have the solver request a change in a constraint (c) in linear optimization, depending on the specific problem and constraints.

Therefore, the correct option is (d) there is an unbounded solution

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a scientist claims that the mean gestation period for a fox is more than 48.9 weeks. if a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted? g

Answers

The rejection of the null hypothesis in a hypothesis test that claims the mean gestation period for a fox is more than 48.9 weeks implies there is sufficient evidence to support the claim, indicating a statistically significant difference between the observed sample mean and the hypothesized mean.

If a hypothesis test is performed that rejects the null hypothesis that the mean gestation period for a fox is 48.9 weeks or less, it means that there is sufficient evidence to support the claim that the mean gestation period for a fox is more than 48.9 weeks.

The rejection of the null hypothesis implies that the observed sample mean is significantly different from the hypothesized mean, and this difference is unlikely to have occurred by chance alone. The statistical test used to evaluate the hypothesis would have produced a p-value less than the significance level, indicating that the evidence against the null hypothesis is strong.

Therefore, the scientist can conclude that there is evidence to support their claim that the mean gestation period for a fox is more than 48.9 weeks, and this finding could have important implications for understanding fox reproductive biology and management.

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#15 Please HELP!!!!!!!!!!!!!!!

Answers

The calculated measure of the arc PM is 19 degrees

Calculating the measures of the arc PM

From the question, we have the following parameters that can be used in our computation:

The circle

The angles created by secants and tangents that intersect outside a circle, which states that

The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.

So, we have

PM = 1/2 * (59 - 21)

Evaluate

PM = 19

Hence, the measure of the arc is 19 degrees

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what is the range and domain of y = 3x^2 + 2?

Answers

The domain of the function is (-∞, ∞) and the range of the function is [2, ∞).

Define range!

In mathematics, the range of a function refers to the set of all possible output values (dependent variable) that the function can produce for its corresponding input values (independent variable).

According to question:

The given function is y = 3x² + 2.

The domain of a function is the set of all possible values of the independent variable (x) for which the function is defined. Since the given function is a polynomial function, it is defined for all real numbers.

Therefore, the domain of the function y = 3x² + 2 is (-∞, ∞), which means that the function is defined for all real values of x.

The range of a function is the set of all possible values of the dependent variable (y) that the function can take. In this case, the function is a quadratic function with a leading coefficient of 3, which means that the parabola opens upwards and its vertex is at the point (0,2).

Since the minimum value of the function is 2, the range of the function is [2, ∞).

Therefore, the domain of the function is (-∞, ∞) and the range of the function is [2, ∞).

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find the equation that is parallel to the line y=x+9 and passes through the point (-6,7).Write the equation in slope intercept form

Answers

Answer: -1

Step-by-step explanation:

First, determine your slope from the given equation y = x - 6

In slope intercept form: y = mx + b, the value for m is the slope.

By looking at "x", there is a coefficient of 1 and therefore 1 is the slope.

Since parallel lines have the same slope, use the slope 1 to rewrite a second eqaution using

the point-slope formula: y - y1 = m(x - x1) and the given point (-6,7)

y - y1 = m(x - x1)

y - (7) = 1 (x - (-6))        (Plug in values)

y -7   = 1(x +-6)            (Distribute negatives)

y -7  = -1x  -6             (Distribute 1 to both terms in the parentheses)

+ 6             +6              (add 6 from both sides)

  y = 1x - 1 OR y = x - 1  

Check your work by plugging in the given point to your equation:

y = x - 1

6 = 7 - 1                   (Plug in values)

7 = 7

How many pair of numbers (x;y) that satisfy
log₃ (x² + y² + x) + log₂ (x² + y²) ≤ log₃ (x) + log₂ (x² + y² + 24x)

Answers

Answer:

We can simplify the given inequality using the properties of logarithms:

log₃ (x² + y² + x) + log₂ (x² + y²) ≤ log₃ (x) + log₂ (x² + y² + 24x)

log₃ [(x² + y² + x) / x] + log₂ [(x² + y²) / (x² + y² + 24x)] ≤ 0

log₃ [(x + y²) / x] + log₂ [(1 - 24x / (x² + y² + 24x))] ≤ 0

log₃ [(x + y²) / x] + log₂ [(x² + y² + 24x - 24x) / (x² + y² + 24x))] ≤ 0

log₃ [(x + y²) / x] + log₂ [(x² + y²) / (x² + y² + 24x))] ≤ 0

log₃ [(x + y²) / x] - log₂ [(x² + y² + 24x) / (x² + y²))] ≥ 0

log₃ [(x + y²) / x] - log₂ [(x + 24) / x] ≥ 0

log₃ [(x + y²) / x] ≥ log₂ [(x + 24) / x]

(x + y²) / x ≥ (x + 24) / x^2

x + y² ≥ x + 24

y² ≥ 24

y ≤ ± 2√6

Therefore, the system of inequalities that satisfies the given inequality is:

y ≤ 2√6, y ≥ -2√6

For each value of y between -2√6 and 2√6, there is a corresponding range of x values that satisfies the inequality.

For example, if y = 0, then the inequality simplifies to:

log₃ (x) + log₂ (x²) ≤ 0

log₃ x + 2 log₂ x ≤ 0

log₃ x + log₂ x² ≤ 0

log₆ x³ ≤ 0

x³ ≤ 1

x ≤ 1

So, if y = 0, then the possible values of x are:

0 < x ≤ 1

Thus, for each value of y between -2√6 and 2√6, there is a corresponding range of x values that satisfies the inequality.

Therefore, the total number of pairs (x,y) that satisfy the inequality is infinite, since there are infinitely many real numbers between -2√6 and 2√6, and each of these corresponds to a range of x values that satisfies the inequality.

Answer:

x

Step-by-step explanation:

To solve this inequality, we can use the properties of logarithms to simplify it. First, we can combine the two logarithms on the left side of the inequality using the product rule:

log₃[(x² + y² + x)(x² + y²)] ≤ log₃(x) + log₂(x² + y² + 24x)

Next, we can use the fact that logₐ(b) ≤ logₐ© if b ≤ c to simplify the right side of the inequality:

log₃[(x² + y² + x)(x² + y²)] ≤ log₃(x(x² + y² + 24x))

Now we can expand both sides of the inequality and simplify:

log₃(x⁴ + 2x³y² + x²y⁴ + x³ + xy²) ≤ log₃(x⁴ + 24x³)

Subtracting log₃(x⁴ + 24x³) from both sides gives:

log₃(x⁴ + 2x³y² + x²y⁴ + x³ + xy²) - log₃(x⁴ + 24x³) ≤ 0

Using the quotient rule for logarithms gives:

log₃[(x⁴ + 2x³y² + x²y⁴ + x³ + xy²)/(x⁴ + 24x³)] ≤ 0

Finally, we can use the fact that logₐ(b) ≤ 0 if and only if b ≤ 1 to solve for x and y:

(x⁴ + 2x³y² + x²y⁴ + x³ + xy²)/(x⁴ + 24x³) ≤ 1

Multiplying both sides by (x⁴ + 24x³) gives:

x⁴ + 2x³y² + x²y⁴ + x³ + xy² ≤ x⁴ + 24x³

Simplifying gives:

2x³y² + x²y⁴ + x³ - 24x³ ≤ -xy²

Rearranging terms gives:

xy² - 2x³y² - x²y⁴ - x³ + 24x³ ≥ 0

Factoring out an xy term gives:

xy(y - (2x)^(3/2))(y + (2x)^(3/2)) ≥ 0

This inequality holds when either y ≥ (2x)^(3/2) or y ≤ -(2x)^(3/2). Therefore, there are two pairs of numbers that satisfy this inequality for any given value of x.

I hope this helps!

o bill starts riding his bike towards town at a constant rate of 8 mph. then, 30 minutes later, his wife starts driving on the same path at a constant average of 30 mph. how long will it take her to catch up to bill?

Answers

So, it will take approximately 0.1818 hours (around 11 minutes) for Bill's wife to catch up to him.

To determine how long it will take Bill's wife to catch up to him, we can use the concept of relative speed.

First, let's calculate the distance Bill covers in 30 minutes (0.5 hours) before his wife starts driving:
Distance = Speed × Time
Distance = 8 mph × 0.5 hours = 4 miles

Now, let's calculate the relative speed between Bill and his wife:
Relative Speed = Wife's Speed - Bill's Speed
Relative Speed = 30 mph - 8 mph = 22 mph

Now, we can calculate the time it will take for Bill's wife to catch up to him:
Time = Distance / Relative Speed
Time = 4 miles / 22 mph ≈ 0.1818 hours

So, it will take approximately 0.1818 hours (around 11 minutes) for Bill's wife to catch up to him.

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It will take his wife 2/11 hours (approximately 0.18 hours or about 11 minutes) to catch up to Bill.

Let's use the terms rate, time, and distance in our explanation.
Bill's rate is 8 mph.

His wife's rate is 30 mph.
The time Bill has ridden before his wife starts is 0.5 hours (30 minutes).
Calculate the distance Bill has ridden before his wife starts: distance = rate × time
  distance = 8 mph × 0.5 hours
  distance = 4 miles
Set up the equation to find the time it takes for his wife to catch up to Bill:
  (rate of Bill) × (time for wife) = (rate of wife) × (time for wife) - 4 miles
Solve for the time for his wife:
  8 × (time for wife) = 30 × (time for wife) - 4
  8 × (time for wife) = 30 × (time for wife) - 4
  8 × (time for wife) - 30 × (time for wife) = -4
  -22 × (time for wife) = -4
  time for wife = 4/22 = 2/11 hours.

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(Score for Question 3: of 12 points) 3. What is the surface area of this composite solid? Show your work.​

Answers

The surface area of this solid would be; 127.

To Find the surface area of the composite solid, we have;

Sides (a) area

4 * 3 = 12

12 * 2 = 24

Now Sides (b) area

7 * 3 = 21

21 * 3 = 63

Then Face (c) area

3 * 4 / 2 = 6

6 * 2 = 12

Base area

4 * 7 = 28

Total surface area

To calculate the total surface area we have to add the value of each face :

28 + 12 + 63 + 24 = 127

Thus, the surface area of this solid is 127.

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The figure shows the dimensions of two city parks, where RST is congruent to XYZ and YX is congruent to XYZ. A city

employee wants to order new fences to surround both parks. What is the total length of the fences

required to surround the parks?

The total length of fences needed to surround the parks is ______

feet.

Answers

The total length of fences needed to surround the parks is 1500 feet. The length is calculated by adding up the lengths of all sides of both parks.

To find the total length of fences needed to surround the parks, we need to add up the lengths of all the sides of both parks.

For park RST, the total length of the fences needed is

RS + ST + RT = 230 + 350 + 230 = 810 ft

For park XYZ, since YX is congruent to XYZ, we can label YX as YZ for simplicity. The total length of the fences needed for park XYZ is

XY + YZ + XZ = YZ + YZ + 230 = 2YZ + 230

To find YZ, we can use the fact that park RST is congruent to park XYZ, so the corresponding sides are equal in length. This means YZ = RT = 230 ft.

Substituting this value, we get

2YZ + 230 = 2(230) + 230 = 690 ft

Therefore, the total length of fences needs to surround two parks with dimensions ARST XYZ and YX YZ is

810 + 690 = 1500 ft.

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--The given question is incomplete, the complete question is given

" The figure shows the dimensions of two city parks, where RST is congruent to XYZ and YX is congruent to XYZ. A city

employee wants to order new fences to surround both parks. What is the total length of the fences

required to surround the parks?

ST is 350 ft., XZ is 230 ft.

The total length of fences needed to surround the parks is ______

feet."--

4negative slope equations, 2undefined slope equations, and 2zero slope equations (y=mx+b)

Answers

Answer:

negative

y=-x

y=-2x+6

y=(-1/2)x+1

y=-5x+20

undefined

x=4

x=-3

zero slope

y=2

y=-100

On a trip, you had to change your money from dollars to euros.
You got 450
euros for 600
dollars.

What is a unit rate that describes the exchange?

Answers

Answer: 0.75 euros = 1 dollar

Step-by-step explanation:

Unit rate

450 euros ----> 600 dollars

450/600 = 0.75

0.75 euros = 1 dollar

Answer :

Uni rate for the exchange of dollars to euros is 0.75 euros/dollars.

Explanation :

[tex]\implies[/tex] To find the unit rate of exchange from dollars to euros, divide the amount of euros Monica received by the amount of dollars she paid:

[tex]\largearrow{\sf{\boxd{\boxed{Unit \ change = \dfrac{Number \ of \ euros \ you \got}{Number \ of \ dollars \ you \ have} }}}}[/tex]

[tex]\implies{\sf{Unit \ change = \dfrac{\cancel{450}}{\cancel{600}} }}[/tex]

[tex]\implies{\sf{Unit \ change = 0.75 }}[/tex]

As a result, the unit rate for the exchange of dollars to euros is 0.75 euros/dollar.

Convert the polar coordinates (6, -π/3) to Cartesian coordinates. Leave answers in fractional form. Use the "/" key as the fraction bar.

Answers

the Cartesian coordinates of the point represented by the polar coordinates (6, -π/3) are (3, -3√3).

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator and denominator.

To convert these polar coordinates to Cartesian coordinates (x, y), we use the following formulas:

x = r cos(θ)

y = r sin(θ)

Substituting the given values, we get:

x = 6 cos(-π/3) = 6 × (1/2) = 3

y = 6 sin(-π/3) = 6 × (-√3/2) = -3√3

Therefore, the Cartesian coordinates of the point represented by the polar coordinates (6, -π/3) are (3, -3√3).

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FINANCE Rawan deposits $13,000 into an account that pays 2.6% annual interest
compounded every 6 months.

a. Write a function to represent the balance A in the account after t years.

b. What will be the balance after 4 years?

c. What will be the balance after 7.5 years?

Answers

a) Required function is [tex]A(t) = 13,000 \times (1.013)^{2t}[/tex]

b) The balance after 4 years is $15,182.51.

c)The balance after 7.5 years is $16,802.59

a. What is the function represent the balance A in the account after t years?

The function to represent the balance A in the account after t years can be given by:

[tex]A(t) = P \times (1 + \frac{r}{n})^{(nt)}[/tex]

where P is the principal amount (initial deposit), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = $13,000, r = 2.6%, n = 2 (interest is compounded every 6 months), and t is the time in years.

Substituting these values into the formula,

[tex]A(t) = 13,000 \times (1 + \frac{ 0.026}{2})^{(2t)}[/tex]

Simplifying the expression,

[tex]A(t) = 13,000 \times (1.013)^{2t}[/tex]

b. To find the balance after 4 years, we can substitute t = 4 into the formula we derived above:

[tex]A(4) = 13,000 \times (1.013)^{(2 \times 4)} \\ = 13,000 \times (1.013)^8 \\ = 15,182.51[/tex]

Therefore, the balance after 4 years is $15,182.51.

c. To find the balance after 7.5 years, we can substitute t = 7.5 into the formula we derived above:

A(t) = 13,000 × (1.013)¹⁵ = 16,802.59

Therefore, the balance after 7.5 years is $16,802.59.

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in the faculty lecture, dr. salon mentioned a survey that was taken in the slums in nairobi. from this survey, how long did the average person live in the slums?

Answers

Without specific data from the survey, I cannot provide the exact average length of time a person lived in the slums. I can be found by collecting data and finding average.

In general, surveys can be used to gather information on a population's characteristics and experiences, including their life expectancy. If the survey conducted in the slums of Nairobi included questions about life expectancy or mortality rates, the average lifespan of the individuals surveyed could be calculated using the data collected. It's important to note that the average lifespan in the slums may differ from that of other areas in Nairobi or other regions of the world.
Based on the information provided, Dr. Salon mentioned a survey conducted in the slums of Nairobi. To determine how long the average person lived in the slums, we would follow these steps:

1. Collect the data: The survey would gather information about the length of time people lived in the slums.
2. Calculate the average: Add up the total number of years all respondents lived in the slums and divide by the total number of respondents.

Without specific data from the survey, can't provide the exact average length of time a person lived in the slums. Please provide more information or refer back to Dr. Salon's lecture for the results of the survey.

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Write down the equations of six lines that increase in steepness

Answers

Answer:

Step-by-step explanation:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

which of the following is true with regards to statistical analysis? which of the following is true with regards to statistical analysis? bivariate analysis is a special form of multivariate analysis. it examines the relation between two or more variables. regression analysis is a univariate analysis. multivariate analysis examines the relationship between one, two or more variables. univariate analysis involves the analysis of a single variable.

Answers

The correct option is: "Univariate analysis involves the analysis of a single variable."

The following statement is true with regards to statistical analysis:

Univariate analysis involves the analysis of a single variable.

The other statements are not entirely accurate:

Bivariate analysis is a form of multivariate analysis that examines the relationship between two variables, but multivariate analysis can involve more than two variables.

Regression analysis is a multivariate analysis technique that examines the relationship between one dependent variable and one or more independent variables.

Multivariate analysis involves the examination of the relationship between two or more variables, not necessarily one, two, or more.

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Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations. A. 5 × 3 = 15 B. 1 5 × 1 3 = 1 15 C. 1 5 × 3 = 3 5 D. 5 ÷ 1 3 = 15 E. 1 3 ÷ 5 = 1 15

Answers

Answer: a and d

Step-by-step explanation:

1 pear = 3 slices

5 pears = 15 slices

5x3=15

OR

5/1/3=15

Equation A and Equation D are the two equations that Kylie can use to solve the problem.

This is a simple mathematics problem.

Kylie has five pears. She cuts each of her pears into thirds, i.e., three slices of each pear.

So, now Kylie will do the same for each pear she has:

Total Slices with Kylie = 5 x 3

Total Slices with Kylie = 15

Equation D can also be used to define the situation of Kylie. Total pears with her are five and each pear is divided into thirds, i.e., 1/3

Total Slices with Kylie = 5 ÷ 1/3

Total Slices with Kylie = 15

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