The largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information is 220.
How to plot a graph?Plotting a graph involves visually representing numerical data using a coordinate system. The following steps can be used as a general guide to plot a graph:
1. Determine the type of graph needed: There are different types of graphs such as line graphs, bar graphs, pie charts, etc. The type of graph you choose will depend on the nature of the data being represented.
2. Choose a scale: This involves selecting appropriate values for the x and y-axes of the graph. The scale should allow the data to be displayed clearly, and evenly spaced marks should be used to represent values.
3. Plot the data: Mark the points or bars representing the data on the graph, using the selected scale.
4. Label the axes: Label both the x and y-axes with a description of what each represents, and include units of measurement where applicable.
5. Title the graph: Give the graph a descriptive title that indicates the purpose of the graph.
6. Add any necessary details: Additional details such as a legend, data source, or notes can be included to provide further information about the data or the graph.
7. Review and revise: Check the graph to ensure that it accurately represents the data and is visually clear. Make any necessary revisions to improve the graph's effectiveness.
To determine the largest value on the T-axis of the graph, we need to first find the maximum possible value of T for the given information.
Since the average time used for each meeting is 43 minutes, the total time used for m meetings can be expressed as T = 43m.
To find the maximum value of T for 5 meetings, we substitute m = 5 into the equation:
T = 43(5) = 215
Therefore, the largest value on the T-axis should be slightly larger than 215 to provide a little bit of extra space on the graph.
If the employee counts by 10's, a good choice for the largest value on the T-axis would be 220. This would allow for the values of T for 1 to 5 meetings to be evenly spaced on the graph, with each mark on the T-axis representing 10 minutes of time.
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May anyone help with this question
Rounding to the nearest hundredth, the arc length of one slice is approximately 53.67 feet.
What is arc length?Arc length is the distance along the curved line or arc of a circle, measured in linear units such as centimeters, feet, or meters. It is calculated as the product of the radius of the circle and the angle subtended by the arc at the center of the circle, expressed in radians.
Here,
Since the circle is divided into eight equal slices, each slice is 360/8 = 45 degrees. The arc length of one slice can be calculated using the formula:
Arc length = (angle/360) x 2πr
where angle is the central angle in degrees, r is the radius of the circle, and π is the constant pi.
In this case, the diameter of the circle is 137 feet, so the radius is half of that, or 68.5 feet.
Substituting the given values into the formula, we get:
Arc length = (45/360) x 2 x 3.14 x 68.5
Arc length = 0.125 x 2 x 3.14 x 68.5
Arc length = 0.785 x 68.5
Arc length = 53.67 feet
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Can someone help me asap? It’s due today. I will give brainliest if it’s correct.
The simulation that represents the context is given as follows:
2,5, 8 of diamonds: gold plastic ring.3, 6, 9 of diamonds: silver plastic ring.4, 7, 10 of diamonds: black plastic ring.How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
In the context of this problem, we have an equal number of gold rings, silver rings and black rins, thus each outcome should have the same probability, which is represented by the last option.
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a trapezoid has an area of 96 ft. if the base is 11 feet and the height is 8 feet, what is the length of the other base
Answer:
The formula for the area of a trapezoid is:
Area = (b1 + b2) / 2 x h
where b1 and b2 are the lengths of the two parallel bases, and h is the height.
We are given that the area of the trapezoid is 96 ft, the height is 8 ft, and one of the bases (b1) is 11 ft. We can use this information to find the length of the other base (b2).
Substituting the given values into the formula for the area of a trapezoid, we get:
96 = (11 + b2) / 2 x 8
Multiplying both sides by 2 and dividing by 8, we get:
24 = 11 + b2
Subtracting 11 from both sides, we get:
b2 = 13
Therefore, the length of the other base is 13 ft.
Fifteen children split $9 among themselves so that each child receives the same amount. How much did each child receive?
The total amount of money received by each child after splitting $9 among 15 children is equal to $0.60.
Total number of children is equal to 15
Total amount of money distributed among 15 children = $9
To find out how much each child receives,
We can divide the total amount of money by the number of children.
In this case, there are 15 children and $9 to split.
So, the amount of money each child receives is equal to,
(Total amount of money )/ ( total number of children )
= $9 ÷ 15
= $0.60
Therefore, amount of money received by each child in the group of 15 children is equal to $0.60.
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Ned collected rocks at the beach. He placed 12 ounces of rocks in each of 4 different bags. How many ounces of rocks Ned collect?
Answer:
48 ounces
Step-by-step explanation:
12*4= 48
PLEASE HELP!!! This is due tomorrow and I haven’t had the time to finish since I have after school activities
Answer:
y int: (0, -23)
Step-by-step explanation:
first you find the slope by taking two points and substituting it in rise over run ([tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex])
I used 25-13/-72+54 which eventually simplified to -2/3
You then use point slope form and plug in one pair of points
I used (-36,1) since it seemed the easiest
y-1=[tex]\frac{-2}{3}[/tex](x+36) point slope form: [tex]y-y_{1}=m(x-x_{1} )[/tex]
y-1= [tex]\frac{-2}{3} x-\frac{72}{3}[/tex]
y-1=[tex]\frac{-2}{3} x-24[/tex]
y=[tex]\frac{-2}{3} x-23[/tex]
the number without the variable is always y int regardless of the numbers in the equation
therefore, the y int is (0,-23)
An initial investment of $5000 doubles in value in 6. 3 years. Assuming continuous compounding, what was the interest rate? Round to the nearest tenth of a percent
The interest rate is approximately 10.95%, rounded to the nearest tenth of a percent.
Continuous compounding is given by the formula:
[tex]$A = Pe^{rt}$[/tex]
where:
A = final amount
P = initial amount
r = interest rate
t = time in years
We know that the initial investment P is $5000, and the final amount A is $10,000 (since the investment doubles in value). The time t is 6.3 years. We can solve for r as follows:
[tex]$A = Pe^{rt}$[/tex]
[tex]$10,000 = 5000e^{r(6.3)}$[/tex]
Divide both sides by 5000:
[tex]$2 = e^{r(6.3)}$[/tex]
Take the natural logarithm of both sides:
[tex]$\ln(2) = r(6.3)$[/tex]
Divide both sides by 6.3:
[tex]$r = \frac{\ln(2)}{6.3}$[/tex]
Using a calculator, we get:
[tex]$r \approx 0.1095$[/tex]
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What is the exact area of the trapezoid?
Answer:
135.07 mm2
Step-by-step explanation:
height = 10.39 mm
area = 135.07 mm2
ASAP I really need help doing a two column proof for this please.
The two column proof is written as follows
Statement Reason
MA = XR given (opposite sides of rectangle)
MK = AR given (opposite sides of rectangle)
arc MA = arc RK Equal chords have equal arcs
arc MK = arc AK Equal chords have equal arcs
Equal chords have equal arcsAn arc is a portion of the circumference of a circle, and a chord is a line segment that connects two points on the circumference.
If two chords in a circle are equal in length, then they will cut off equal arcs on the circumference. This is because the arcs that the chords cut off are subtended by the same central angle.
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I need help with this question can you help?
Answer:
The Correct answer is sinA/3.2=sin110°/4.6
the mean iq of the population of osu students is 100. a random sample of 5 students will be taken from the population, but the first student scored 150. what do expect the average to be for the 5 students?
Even though the first student scored 150, the expected average IQ score for the remaining four students is still 100.
Explain average
The average is a statistical measure that represents the central tendency of a set of values. It is calculated by adding up all the values and dividing them by the total number of values. The average provides a single value that represents the typical value in the set and is often used to compare different sets of data or to summarize large amounts of data.
According to the given information
Let X be the random variable representing the IQ score of an individual student. Then, the sample mean of the five students, denoted by Y, can be expressed as:
Y = (X1 + X2 + X3 + X4 + X5) / 5
Given that the first student scored 150, the expected value of the sample mean of the remaining four students, denoted by E(Y|X1=150), can be calculated as follows:
E(Y|X1=150) = E((X2 + X3 + X4 + X5) / 4 | X1 = 150)
Since X1 = 150 is an observed value, we can treat it as a constant and apply the linearity of expectation:
E((X2 + X3 + X4 + X5) / 4 | X1 = 150) = (E(X2 | X1 = 150) + E(X3 | X1 = 150) + E(X4 | X1 = 150) + E(X5 | X1 = 150)) / 4
Now, since the sample is random, the remaining four IQ scores are also independent and identically distributed as X, with the same mean of 100. Therefore, we have:
E(X2 | X1 = 150) = E(X3 | X1 = 150) = E(X4 | X1 = 150) = E(X5 | X1 = 150) = E(X)
Thus, we can simplify the expression as:
E(Y|X1=150) = (4E(X) / 4) = E(X) = 100
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A tram moved downward 12 meters in 4 seconds at a constant rate. What was the change in the tram's elevation each second?
Therefore , the solution of the given problem of unitary method comes out to be during the 4-second period, the tram's elevation changed by 3 metres every second.
What is an unitary method?To complete the assignment, use the iii . -and-true basic technique, the real variables, and any pertinent details gathered from basic and specialised questions. In response, customers might be given another opportunity to sample expression the products. If these changes don't take place, we will miss out on important gains in our knowledge of programmes.
Here,
By dividing the overall elevation change (12 metres) by the total time required (4 seconds),
it is possible to determine the change in the tram's elevation every second. We would then have the average rate of elevation change per second.
=> Elevation change equals 12 metres
=> Total duration: 4 seconds
=> 12 meters / 4 seconds
=> 3 meters/second
As a result, during the 4-second period, the tram's elevation changed by 3 metres every second.
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9.12 movie lovers, part ii. suppose an online media streaming company is interested in building a movie recommendation system. the website maintains data on the movies in their database (genre, length, cast, director, budget, etc.) and additionally collects data from their subscribers ( demographic information, previously watched movies, how they rated previously watched movies, etc.). the recommendation sys- tem will be deemed successful if subscribers actually watch, and rate highly, the movies recommended to them. should the company use the adjusted r2 or the p-value approach in selecting variables for their recommendation system?
The company should use the adjusted R² approach to select variables for their recommendation system, as it will better account for the influence of multiple variables and help create a more accurate model for predicting subscriber's movie ratings.
To build a successful movie recommendation system for the online media streaming company, it's important to consider the appropriate statistical approach for selecting variables.
In this case, the company should use the adjusted R² approach instead of the p-value approach.
The adjusted R² approach is more suitable for this scenario because it measures the proportion of variance in the dependent variable (subscriber's ratings) that is predictable from the independent variables (movie and subscriber data).
Adjusted R² takes into account the number of variables and adjusts for overfitting, which is important when dealing with a large dataset, like the one the streaming company has.
It helps in identifying the most influential factors and creating a model that better predicts movie ratings.
On the other hand, the p-value approach focuses on the statistical significance of individual variables, which might lead to including variables that are significant but not necessarily the best predictors for movie ratings.
This could result in a less accurate recommendation system.
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which pair of dotplots provides the strongest statistical evidence that the training group ran faster (small times), on average, than the no training group?
Similarly, if the spread of the training group's distribution is smaller than the spread of the no training group's distribution.
The training group ran faster on average, than the no training group.
To determine which pair of dot plots provides the strongest statistical evidence that the training group ran faster.
Compare the center and spread of the two groups.
The center of the training group's distribution is consistently to the left (i.e., lower times) of the center of the no training group's distribution.
Overlap between the two distributions, then we can conclude that the training group ran faster on average, than the no training group.
100 by adding data.
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We need to examine the dotplots and summary statistics of the two groups to determine which pair of dotplots provides the strongest statistical evidence that the training group ran faster, on average, than the no training group.
To determine which pair of dotplots provides the strongest statistical evidence that the training group ran faster, we need to compare the centers and spreads of the two groups. If the center of the training group is shifted to the left (smaller times) compared to the center of the no training group, and if the spread of the training group is smaller than the spread of the no training group, then we have stronger evidence that the training group ran faster, on average, than the no training group.
Without seeing the actual dotplots, we cannot make a definitive determination. However, we can describe what to look for in the dotplots. Specifically, we want to see a clear separation between the centers of the two groups, and we want to see less overlap between the dots in the training group than in the no training group.
In addition, we can calculate summary statistics for the two groups, such as the mean and standard deviation, to help us compare the centers and spreads of the two groups. If the mean of the training group is significantly smaller than the mean of the no training group, and if the standard deviation of the training group is significantly smaller than the standard deviation of the no training group, then we have stronger evidence that the training group ran faster, on average, than the no training group.
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Multiply (3 + 4i) (6 + 2i) ?
Answer: 10 + 30i
Step-by-step explanation:
(3 + 4i) (6 + 2i)
= 3(6) + 3(2i) + 4i(6) + 4i(2i) // FOIL method
= 18 + 6i + 24i + 8i^2 // simplify
= 18 + 30i - 8 // i^2 = -1
= 10 + 30i
(Please help!!!) The heights of 14 plants, in inches, are listed.
12, 14, 15, 15, 16, 16, 16, 17, 18, 18 ,19, 20, 22, 25
If another plant with a height of 13 inches is added to the data, how would the mean be impacted?
The mean would stay the same value of about 17.1 inches.
The mean would decrease in value to about 17.1 inches.
The mean would stay the same value of about 17.4 inches.
The mean would increase in value to about 17.4 inches.
As a result, the mean would be approximately **15.87** inches. The solution is **B**.
The mean would decrease in value to about 17.1 inches.
Defining Mean?The mean in mathematics is a measurement of a set of numbers' central tendency. The average is another name for it. A set of numbers are added together to determine the mean, which is then divided by the total number of values in that set.
The sum of a collection of integers divided by the total number of values in the set yields the mean of the set.
12 + 14 + 15 + 15 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25 = **225** is the total height of the 14 plants.
Rounding to two decimal places, the mean height of these plants is 225/14, or **16.07** inches.
The revised sum of heights would be **238** if an additional plant with a height of 13 inches were to be included in the data.
238/15 = **15.87** inches (rounded to two decimal places) would be the new mean height.
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Impactation in the mean is B)The mean would decrease in value to about 17.1 inches.
Defining Mean?
The mean in mathematics is a measurement of a set of numbers' central tendency. The average is another name for it. A set of numbers are added together to determine the mean, which is then divided by the total number of values in that set.
The sum of a collection of integers divided by the total number of values in the set yields the mean of the set.
=>12 + 14 + 15 + 15 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25 = **225** is the total height of the 14 plants.
Rounding to two decimal places, the mean height of these plants is
=> 225/14, or **16.07** inches.
The revised sum of heights would be **238** if an additional plant with a height of 13 inches were to be included in the data.
=> 238/15 = **15.87** inches (rounded to two decimal places) would be the new mean height.
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A rectangular garden has a walkway around it. The area of the garden is 4(4.5x+3.5). The combined area of the garden and the walkway is 5.5(6x+5). Find the area of the walkway around the garden as the sum of two terms.
The product of two terms gives the walkway's area around the garden: 15x+13.5.
Define rectangleA rectangle is a four-sided polygon with two pairs of parallel and congruent sides, and four right angles. The opposite sides of a rectangle are equal in length and parallel to each other, while the adjacent sides are perpendicular to each other.
Area of garden = 4(4.5x + 3.5) = 18x+14
The combined area of the garden and the walkway = 5.5(6x+5) =33x+27.5
The area of the walkway (Aw) around the garden is the result of subtracting the total area minus the inner area:
Aw=combined area -Area of garden
=33x+27.5-18x-14
=15x+13.5
Thus, we can say that the area of the walkway around the garden is the sum of two terms: 15x+13.5.
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Graph the solution of the inequality.
3.5
Question:
The current (in amps) in a simple
electrical circuit varies inversely to
the resistance measured in ohms.
The current is 24 amps when the
resistance is 20 ohms. Find the
current (in amps) when the
resistance is 12 ohms.
The current in the circuit when the resistance is 12 ohms is 40 amps.
What is fraction?
A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities.
We can use the inverse proportionality formula to solve this problem, which states that:
current (in amps) x resistance (in ohms) = constant
Let's call this constant "k". We can use the information given in the problem to find k:
24 amps x 20 ohms = k
k = 480
Now we can use this constant to find the current when the resistance is 12 ohms:
current x 12 ohms = 480
current = 480 / 12
current = 40 amps
Therefore, the current in the circuit when the resistance is 12 ohms is 40 amps.
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A person has 50,000 in taxable income for a year and pays a 10 percent income tax rate equal to 5,000 which action would reduce the amount the person paid in taxes to 1,000
The action that would reduce the amount the person paid in taxes to 1,000 is option (D) Receiving a $49,000 tax credit
In this scenario, the person has $50,000 in taxable income and pays a 10% income tax rate, which amounts to $5,000 in taxes. To reduce the tax liability to $1,000, the person needs to receive a tax credit of $49,000. Tax credits directly reduce the amount of tax owed, whereas tax deductions reduce taxable income.
A tax deduction of $4,000 would lower the taxable income to $46,000, resulting in a lower tax liability of $4,600, which is not low enough to reach $1,000. Therefore, a tax credit of $49,000 is needed to reduce the tax liability to $1,000.
Therefore, the correct option is (D) Receiving a $49,000 tax credit
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The given question is incomplete, the complete question is:
A person has $50,000 in taxable income for a year and pays a 10 percent income tax rate, equal to $5,000. Which action would reduce the amount the person paid in taxes to $1,000?
A.Receiving a $4,000 tax deduction
B.Receiving a $4,000 tax credit
C. Receiving a $49,000 tax deduction
D. Receiving a $49,000 tax credit
angles of triangles- does anyone know how to do this?
(1) m∠1=45°(sum of 3 angles of a triangle is always 180°)
(2) m∠1=180°-129°=51°(sum of two interior angles on the same side is equal to the exterior angle)
(3) m∠1= 152°-115°=37°
(4) m∠1=88°m∠2=42° m∠3=113°
What is an angle?An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex. The measure of an angle is typically expressed in degrees or radians, and it describes the amount of rotation needed to bring one of the rays into coincidence with the other.
Define triangle?A triangle is a closed two-dimensional shape with three straight sides and three angles.
(1) m∠1=45°(sum of 3 angles of a triangle is always 180°)
(2) m∠1=180°-129°=51°(sum of two interior angles on the same side is equal to the exterior angle)
(3) m∠1= 152°-115°=37°(sum of two interior angles on the same side is equal to the exterior angle)
(4) m∠1=88°(sum of 3 angles of a triangle is always 180°),m∠2=42°(vertically opposite angle theorem), m∠3=113°(sum of 3 angles of a triangle is always 180°)
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what is trigonometry
trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc)
the following are percentages of fat found in 5 samples of each of two brands of ice cream: a 5.7 4.5 6.2 6.3 7.3 b 6.3 5.7 5.9 6.4 5.1 which of the following procedures is appropriate to test the hypothesis of equal average fat content in the two types of ice cream? a paired t test with 5 df. b . two-sample t test with 4 df. c paired t test with 4 df. d two-sample t test with 9 df. e two-proportion z test
with 4 df.
The correct answer is d. Two-sample t test with 9 df.
A small can of tomato paste has a radius of 2 inches and a height of 4 inches. Suppose the larger, commercial-size can has dimensions that are related by a scale factor of 3. Which of these is true?
The correct statement about scale factor is the radius of the larger can will be 8 inches. (option c).
Let's first consider the dimensions of the small can of tomato paste. We are given that it has a radius of 2 inches and a height of 4 inches. Therefore, its volume can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height. Substituting the given values, we get:
V_small = π(2²)(4) = 16π cubic inches
Using these dimensions, we can calculate the volume of the larger can using the same formula:
V_large = π(6²)(12) = 432π cubic inches
Now, let's compare the volumes of the small and large cans. We have:
V_large = 432π cubic inches > 16π cubic inches = V_small
Therefore, we can conclude that the volume of the larger can is greater than the volume of the smaller can. But is it three times greater? Let's compare:
V_large = 432π cubic inches 3
V_small = 3(16π) cubic inches = 48π cubic inches
We see that 432π cubic inches is not equal to 48π cubic inches, so option b) is not correct.
Finally, let's consider the radius of the larger can. We found earlier that it is 6 inches, which is greater than the radius of the smaller can, but it is not 8 inches. Therefore, option c) is correct.
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Complete Question:
A small can of tomato paste has a radius of 2 inches and a height of 4 inches. Suppose the larger, commercial-size can has dimensions that are related by a scale factor of 3. Which of these true?
a) The radius of the larger can will be 5 inches.
b) The volume of the larger can will be 3 times the volume of the smaller can
c) The radius of the larger can will be 8 inches.
d) The volume of the larger can is 3 times the volume of smaller can
Pete Moss is planning to take the Certified Public Accountant Exam (CPA
exam). Records kept by the College of Business from which he graduated
indicate that 71% of the students who have graduated pass the CPA exam.
Assume that the exam is changed every time it is given. Eight of Pete's
friends are going to take the exam. What is the probability that 5 of the
friends will pass?
The probability that exactly 5 of Pete's friends will pass the CPA exam is approximately 0.275
This problem can be solved using the binomial distribution. We know that the probability of passing the CPA exam for a graduate of Pete's College of Business is p = 0.71.
We also know that there are eight friends taking the exam, so the number of trials (n) is 8. We want to find the probability that exactly 5 of them will pass.
The formula for the probability mass function of the binomial distribution is
P(X = k) = (n choose k) × p^k × (1-p)^(n-k)
where X is the random variable representing the number of successes (i.e., the number of Pete's friends who pass), k is the number of successes we want to find (i.e., 5), (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials, and p is the probability of success (i.e., 0.71).
Plugging in the numbers, we get
P(X = 5) = (8 choose 5) × 0.71⁵ × (1-0.71)³
= 56 × 0.71 × 0.29³
≈ 0.275
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Select whether the situation could yield variable data, and if so, select the option with the best statistical question. The town council members want to know how much recyclable trash a typical household in town generates each week.
A. Variable data. How many members are on the council?
B. Variable data. When are the recyclables collected?
C. Not variable.
D. Variable data. How many pounds of recyclables trash does each household generate?
The situation could yield variable data, and Variable data. How many pounds of recyclables trash does each household generate? this option is with the best statistical question. The town council members want to know how much recyclable trash a typical household in town generates each week.
Hence, the correct option is D.
Because
Option A, "How many members are on the council?" is not relevant to the situation, as it does not relate to the amount of recyclable trash generated by households in the town. Therefore, the data generated by this question would not be variable in relation to the amount of recyclable trash generated by households.Option B, "When are the recyclables collected?" could potentially yield variable data, as different households may put their recyclables out for collection at different times. However, this question would not provide a direct measure of the amount of recyclable trash generated by each household, which is what the town council is interested in. Therefore, while the data generated by this question may be variable, it would not be the most relevant or useful data for the town council.Option C, "Not variable," means that the situation does not yield variable data. In this case, it would mean that the amount of recyclable trash generated by households in the town does not vary from one household to another.Option D, "How many pounds of recyclables trash does each household generate?" is the best statistical question for this situation because it directly addresses the town council's interest in understanding the amount of recyclable trash generated by households in the town. This question would yield variable data, as different households would generate different amounts of recyclable trash, and this data would be the most useful for the town council in developing strategies for promoting recycling and reducing waste.Hence, the correct option is D.
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Kendra and her family went on a camping trip to Buffalo Springs State Park. This graph
shows how much fuel they used to cook food each day.
Amount of fuel
xx
←+ +
0
1
Submit
4
X
** ++
x X
2
Liters
314
How much fuel did they use in all?
Write your answer as a fraction, mixed number, or whole number.
liters
* Kendra and her family used:
** 4 liters of fuel on day 1
*** 3 liters of fuel on day 2
**** 2 liters of fuel on day 3
***** 4 liters of fuel on day 4
So in total they used:
4 + 3 + 2 + 4 = 13 liters of fuel
Therefore, the amount of fuel they used in all is:
13 liters
Use the equation below to answer the question. 6x + 3 = 3(2x + 3) Which statement correctly explains whether the equation is true or not?
Answer:
It should be the first one
Step-by-step explanation:
3x2=6
3x3=9
I need this answer asap can someone help??
The shortest driving distance between the stadium and the animal shelter is given as follows:
10 blocks.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates are given as follows:
Animal shelter: (-3,3).Stadium: (6,2).Since the spaces are filled by houses, we cannot apply the formula, hence the shortest distance is:
6 - (-3) + 3 - 2 = 9 + 1 = 10 blocks.
More can be learned about the distance between two points at https://brainly.com/question/30347465
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write a equation of the line that passes through (2,7) and (0,-5)
Answer:
To write the equation of the line that passes through the points (2, 7) and (0, -5), we can use the slope-intercept form of a linear equation, which is:
y = mx + b
Where m is the slope of the line, and b is the y-intercept.
First, we can find the slope of the line by using the formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (2, 7) and (x2, y2) = (0, -5)
m = (-5 - 7) / (0 - 2)
m = -12 / -2
m = 6
So the slope of the line is 6.
Next, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Where (x1, y1) = (2, 7)
y - 7 = 6(x - 2)
Simplifying this equation, we get:
y - 7 = 6x - 12
y = 6x - 5
So the equation of the line that passes through the points (2, 7) and (0, -5) is y = 6x - 5.