Answers
Answer:
[tex]3 {( - 5)}^{2} + 5( - 5) + 7 = 57[/tex]
[tex] {( - 5)}^{3} - 5c + 202 = 57[/tex]
[tex] - 125 - 5c + 202 = 57[/tex]
[tex]77 - 5c = 57[/tex]
[tex] - 5c = - 20[/tex]
[tex]c = 4[/tex]
For this value of c, these graphs will intersect at (-5, 57).
Please use your graphing calculator to confirm that this is the only point of intersection.
Related Questions
Luisa has great news, she communicates it to 3 people. Each of them tells 3 more. This is how a chain is set up, since each new person who learns the news communicates it to three others. It takes one person approximately 10 minutes to communicate the news to three others. If an hour has passed, how many people have heard the news?
Answers
Answer:
The amount of persons who have heard in 30mins would be:
45 persons
An economy is operating with output $400 billion above its natural level, and fiscal policymakers want to close this expansionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. The marginal propensity to consume is 3/4, and the price level is completely fixed in the short run.
to close the expansionary gap, the government would need to increase or decrease spending by $ billion.
Answers
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
To close the expansionary gap, the government would need to decrease spending by $100 billion.
The formula to calculate the change in equilibrium output due to a change in government spending is:
∆Y = (∆G / (1 - MPC))
Where:
∆Y = change in equilibrium output
∆G = change in government spending
MPC = marginal propensity to consume
Here, the output is $400 billion above its natural level, and the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. Therefore, we can assume that the change in government spending (∆G) would have a one-to-one effect on the equilibrium output (∆Y).
Given that MPC = 3/4, we can plug in the values into the formula:
400 = (∆G / (1 - 3/4))
∆G = (1 - 3/4) * 400
∆G = (1/4) * 400
∆G = 100
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
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A machine in a factory makes chairs at rate of two chairs every 10 minutes how much time does the machine take to make five chairs how many minutes would it take for the factory to fulfill an order for 32 chairs show your work or explain how you determine your answers
Answers
To make 5 chairs, the machine will need 5 times as much time, which is 5 x 5 = 25 minutes.
To fulfill an order for 32 chairs, the machine will need to make 32/2 = 16 sets of 2 chairs.
This means the machine will take 16 x 10 = 160 minutes to make 32 chairs.
I obtained these answers by using basic math. First, I found out how many chairs the machine makes in one minute by dividing the rate of production (2 chairs every 10 minutes) by the number of minutes (10). That gave me the production rate of 1 chair every 5 minutes.
Using that production rate, I could then multiply it by the number of chairs I needed to find out how many minutes it would take for the machine to produce them.
For the order of 32 chairs, I used the production rate to figure out how many sets of two chairs the machine would need to make to reach the total amount. And then I multiplied that number by the time it takes to make two chairs (10 minutes) to get the total time it would take to produce 32 chairs.
Write a fraction that has a value greater than 3/8 using 3 as the numerator
Answers
Answer: 3/4
Step-by-step explanation:
Any number as the denominator of the fraction that is less than 8 (the denominator) will give you a fraction greater than 3/8.
Another different answer could be 3/5 or 3/6.
A fraction that has a value greater than 3/8 using 3 as the numerator is 3/6, 3/4, 3/2 and so on.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
The given fraction is 3/8.
Here, 3/8 = 0.375
We need write the fraction which is greater than 3/8 using 3 as the numerator is 3/6 = 0.5
Therefore, a fraction that has a value greater than 3/8 using 3 as the numerator is 3/6, 3/4, 3/2 and so on.
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Which is the closest to the area of the shaded region in the given square containing a circle? (Use ≈ 3.14.)
10 m
21.5 square meters
50 square meters
O 78.5 square meters
O 100 square meters
5m
Answers
The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option
21.5 square metersWhat is a square?A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.
The figure is a composite figure comprising of a square and a circle
The radius of the circle, r = 5 meters
The side length of the square = 10 meters
The value of π = 3.14
The area of the square = 10 m × 10 m = 100 m²
The area of the circle = π × (5 m)² = 25·π m²
The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;
The area of the shaded region = (100 - 25·π) m²
The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²
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At a train station in the morning rush hour, the Westbound train arrives every 9 minutes, and the Eastbound train arrives every 15 minutes. If both trains were just in the station, after how many minutes will both trains again be in the station at the same time?
Answers
Step-by-step explanation:
Find the LCM of 9 and 15
West 9 18 27 36 45
East 15 30 45 In 45 minutes
Help pleasee
The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced to a mass of 2 mg.
What was the initial mass (in mg) of the sample? --------------
What is the mass 7 weeks after the start?-------------
Answers
The initial mass (in mg) of the sample is 32 mg
The mass 7 weeks after the start is 0.198 mg
What is exponential decay:Exponential decay is a process in which a quantity decreases at a rate proportional to its value. This means that the larger the quantity, the faster it will decrease.
Exponential decay is modeled by the following formula:
[tex]A = A_{0} \times (1/2)^{\frac{t}{T} }[/tex]
where A is the amount after time t, A₀ is the initial amount,
T is the half-life, and t is the time elapsed
Here we have
The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced to a mass of 2 mg.
For the first question, we know that after 16 days, the amount is 2 mg, and the half-life is 4 days. We can plug these values into the formula:
[tex]2 = A_{0} \times (1/2)^{\frac{16}{4}}[/tex]
Simplifying, we get:
2 = A₀ × (1/2)⁴
2 = A₀ × (1/16)
A₀ = 2 × 16
A₀ = 32 mg
So the initial mass of the sample was 32 mg.
For the second question, we need to find the mass after 7 weeks, or 49 days. We can use the same formula, but with t = 49:
[tex]A = 32 \times (1/2)^{\frac{49}{4} }[/tex]
A ≈ 0.198 mg
Therefore,
The initial mass (in mg) of the sample is 32 mg
The mass 7 weeks after the start is 0.198 mg
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2. A non-Jewish woman meets with a Jewish counselor to seek guidance on dealing with he
future Jewish in-laws. The Jewish counselor has strong personal beliefs against interfaith
marriages. At the end of the third session, the counselor recommends that the client
reconsider marrying her fiancé.
Harmful use of bias?
Unharmful use of bias?
Answers
As the counselor recommends that the client reconsider marrying her fiancé based on his belief discretion, this is an example of harmful use of bias.
Why is the Scenario an example of harmful Bias?The counselor's personal beliefs against interfaith marriages are influencing their professional advice, which can be harmful to the client's well-being and may even violate ethical guidelines for mental health professionals.
The counselor should provide unbiased and objective guidance to the client based on their specific needs and circumstances, rather than imposing their own beliefs or values onto the client's decision-making process.
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Elliot read a report from a previous year saying that 6 % 6%6, percent of adults in his city biked to work. He wanted to test whether this had changed, so he took a random sample of 240 240240 adults in his city to test H 0 : p = 0.06 H 0 :p=0.06H, start subscript, 0, end subscript, colon, p, equals, 0, point, 06 versus H a : p ≠ 0.06 H a :p =0.06H, start subscript, start text, a, end text, end subscript, colon, p, does not equal, 0, point, 06, where p pp is the proportion of adults in Elliot's city that bike to work. The sample results showed 21 2121 adults who biked to work, and the corresponding test statistic was z ≈ 1.79 z≈1.79z, approximately equals, 1, point, 79. Assuming that the necessary conditions are met, what is the approximate P-value for Elliot's significance test?
Answers
Answer: To find the P-value, we first need to determine the direction of the alternative hypothesis. Since the alternative hypothesis is two-tailed, we need to divide the significance level (α) by 2 before finding the critical values and the rejection region. Therefore, we have:
H0: p = 0.06
Ha: p ≠ 0.06
α = 0.05/2 = 0.025
The test statistic is z = 1.79, which represents the number of standard errors that the sample proportion is from the hypothesized population proportion under the null hypothesis. We can find the P-value by looking up the area in the standard normal distribution table beyond the test statistic in both tails:
P-value = P(Z ≤ -1.79 or Z ≥ 1.79)
= P(Z ≤ -1.79) + P(Z ≥ 1.79)
= 0.0364 + 0.0364
= 0.0728
Therefore, the approximate P-value for Elliot's significance test is 0.0728. Since the P-value is greater than the significance level of 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the proportion of adults who bike to work in Elliot's city has changed significantly from the previous year.
Step-by-step explanation:
if you dilate triangle ABC by a scale factor of 3 and (0,0) is the center, what will be the length of AB?
Answers
the new length of AB after a dilation by a scale factor of 3 with (0,0) as the center would be 3 times the original length of AB.
How to solve the question?
To find the new length of AB after a dilation by a scale factor of 3 with (0,0) as the center, we can use the following formula:
AB' = AB x 3
where AB' is the length of AB after the dilation, and AB is the original length of AB.
However, we need to first determine the length of AB in the original right triangle ABC. To do this, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Let's assume that AB is the hypotenuse of the right triangle ABC, and that AC and BC are the other two sides. Then we have:
AB²= AC²+ BC²
Without more information about the lengths of AC and BC, we cannot determine the value of AB. However, once we have determined the length of AB, we can use the formula above to find the new length of AB after dilation.
Assuming we know the length of AB in the original right triangle ABC, we can now use the formula for dilation to find the new length of AB:
AB' = AB x 3
For example, if AB is 5 units long in the original triangle, then after dilation, AB' would be:
AB' = 5 x 3 = 15 units
Therefore, the new length of AB after a dilation by a scale factor of 3 with (0,0) as the center would be 3 times the original length of AB.
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Choose scales for the coordinate plane shown so that you can graph the points J (5, 50), K(3, 50), L (4, -40), M (-2, 40), and N (-5, -10). on the x-axis use a scale of ____ units for each grid square. on the y-axis use a scale of ____ units of each grid square. complete the explanation for using these scales for each axis. the x-coordinates range from ____ to ____, and the y-coordinates range from ____ to ____.
Answers
On the x-axis use a scale of 2 units for each grid square. on the y-axis use a scale of 10 units of each grid square. The x-coordinates range from -5 to 5. y-coordinates range from -40 to 50.
What is coordinate plane?In mathematics, points and functions are represented and graphed on the coordinate plane, commonly known as the Cartesian plane. The x-axis and y-axis are two perpendicular number lines that meet at the origin to form the plane (0,0).
On the coordinate plane, points are denoted by ordered pairs (x, y), where x denotes the point's separation from the y-axis and y denotes its separation from the x-axis.
For the given coordinates the range of x and y coordinates are:
x-coordinates range from -5 to 5
y-coordinates range from -40 to 50.
Thus, we use a scale of 2 on the x-axis and 10 units on the y axis.
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Can someone please help me with this problem? I'm really struggling and the assignment is already late :(
Answers
The simplified exponential expression is given as follows:
[tex]21^6[/tex]
How to simplify the exponential expression?The exponential expression in the context of this problem is defined as follows:
[tex]\frac{21^3 \times 21^5}{21^2}[/tex]
First we look at the numerator, when we have two terms with the same base and different exponents multiplying, we keep the base and add the exponents, hence:
21^3 x 21^5 = 21^8
Now we have the following division operation:
21^8/21^2.
When we have two terms with the same base and different exponents dividing themselves, we keep the base and subtract the exponents, hence:
21^(8 - 2) = 21^6.
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The table contains some points on the graph
of an exponential function. Based on the
table, which function represents the same
relationship?
Answers
Answer: 1st one
Step-by-step explanation:
How to find the circumference of a circle
Answers
Answer: To find the circumference of a circle, there are 2 formulas.
Step-by-step explanation:
The first formula is 2πr and the second formula is πd when solving any math problem. You can use either one but you would use which one is the most helpful to answer your question. Hope this helps!
Jeff surveyed all the students at his school and reported the fraction of students who liked each flavor of sherbet.
Six-sevenths liked cherry.
One-ninth liked grape.
Three-fifths liked orange.
Four-elevenths liked strawberry.
Which list has the flavors in order from least liked to most liked?
A. grape, strawberry, orange, cherry
B. grape, orange, strawberry, cherry
C. orange, cherry, grape, strawberry
D. cherry, grape, orange. strawberry
Answers
Answer is : A
Calculate the value for each determinant:
Answers
Answer:
step by step explanation:
1. 9 4. -12
2. -48 5. 0
3. 17 6. 1
4. Tamara claims that Sweet Grove apple juice tastes better than Bushels apple juice. Isaac claims that there is no difference between the 2 types of apple juice. Tamara and Isaac would like to find the answer to the following question: Do more 6th graders prefer Sweet Grove apple juice or Bushels apple juice? a. Is this a statistical question? Explain your reasoning. 5. Explain how this question can be answered with an experiment
Answers
Answer: a. Yes, this is a statistical question since it includes collecting information from a test of 6th graders and utilizing factual strategies to analyze the comes about and draw a conclusion approximately the inclinations for Sweet Grove and Bushels apple juice.
b. Draw a conclusion based on the results of the experiment, and report any limitations or assumptions made during the experiment.
Step-by-step explanation:
Need help with is question
Answers
Answer:
27.78%
Step-by-step explanation:
To calculate the percentage of the total spending that is on rent, we need to divide the amount spent on rent by the total amount spent, and then multiply by 100 to get the percentage.
Total spending = food + rent + other + fun
Total spending = $400 + $500 + $600 + $300
Total spending = $1800
So, the percentage of the total spending that is on rent is:
($500 / $1800) x 100% = 27.78%
Therefore, approximately 27.78% of the total spending is on rent.
Use the slip and y-intercept to identify the equation of this line
Answers
Answer:
y=2x
Step-by-step explanation:
equation formula is y=mx+b
m is slope
b is y-intercept
you know that slope is 2
y intercept is 0
so plug it into the equation
y=2x+0 or just y=2x
A car, van, truck and bike are all travelling in the same direction on the road. Each travels at a constant speed, but the speeds of the 4 vehicles may be different. At 10 am the car overtakes the van. At noon it overtakes the truck. At 2 pm it overtakes the bike. At 4 pm the truck overtakes the bike. At 6 pm the van overtakes the truck. When does the van overtake the bike?
Answers
Answer:
at 6 pm
Step-by-step explanation:
I'm 99.9% sure that it's correct, please tell me if I'm wrong
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 2 kg weighs 4 N. Calculate the mass of another object that weights 18 N.
Answers
Answer:
Let m be the mass of the object and w be the weight of the object. According to the problem, weight varies directly with mass, so we can write:
w = k * m
where k is the constant of proportionality.
To find k, we can use the information given in the problem. We know that when m = 2 kg, w = 4 N. Substituting these values into the equation above, we get:
4 N = k * 2 kg
Solving for k, we get:
k = 4 N / 2 kg = 2 N/kg
Now we can use this value of k to find the mass of an object that weighs 18 N. We can rearrange the equation above to solve for m:
m = w / k
Substituting w = 18 N and k = 2 N/kg, we get:
m = 18 N / 2 N/kg = 9 kg
Therefore, the mass of the object that weighs 18 N is 9 kg.
The width of the set of the shelves needs to be 5 times the height of the set of shelves and the set of shelves must have three shelves If there are 80 feet of wood to use to build the set of shelves what should the dimensions the set of shelves be?
Answers
The dimensions of the set of shelves should be approximately 4.21 feet in height and 21.05 feet in width.
What is a linear equation?When plotted on a coordinate plane, an algebraic equation known as a linear equation looks like a straight line. The variable (or variables) in this equation always have a greatest power of 1, making it a constant. In other words, a linear equation simply makes use of the fundamental operations of addition, subtraction, and multiplication of variables to the first power, as well as constants.
Given:
Width of the set of shelves = 5 times the height of the set of shelves
Number of shelves = 3
Total amount of wood available = 80 feet
Let's denote the height of the set of shelves as "h" and the width of the set of shelves as "w".
Using the first given information, we can write the equation:
Width (w) = 5 times the height (h) ==> w = 5h
Next, we know that the set of shelves has 3 shelves, so the number of shelves is fixed at 3.
Finally, we are given that we have 80 feet of wood available to build the shelves.
Using these equations, we can substitute w = 5h into the equation for the total amount of wood:
3w + 4h = 80
Substituting w = 5h, we get:
3(5h) + 4h = 80
15h + 4h = 80
19h = 80
h = 80/19
So, the height of the set of shelves is approximately 4.21 feet.
Now, substituting this value of h back into w = 5h, we get:
w = 5(4.21)
w = 21.05
So, the width of the set of shelves is approximately 21.05 feet.
Therefore, the dimensions of the set of shelves should be approximately 4.21 feet in height and 21.05 feet in width.
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A local department store can sell 100 gaming systems at a price of $180 each. Research
shows that for each $18 price increase, the store will sell 4 fewer systems, and vice versa.
a. Find a linear price equation for the gaming system. That is, express the price, p, as a
function of the quantity, q. (2 points)
b. Use your answer from (a) to find the revenue equation.
c. Use your knowledge of quadratic functions to find the price and quantity sold that will maximize revenue.
Answers
Therefore, the price that maximizes revenue is $135, and the quantity sold at that price is q0/2.
What is the unit price?
In order to find the unit price of a certain item, we just need to divide the total price paid (or total cost) by the number of items bought.
According to given information
a. Let x be the number of $18 price increases from the original price of $180, and let y be the corresponding decrease in the number of gaming systems sold. Then we have the data point (x, y) = (0, 0) and the slope of the line is -4/18 = -2/9. Using the point-slope form of a linear equation, we have:
y - 0 = (-2/9)x
y = (-2/9)x
Substituting x = 18n, where n is the number of $18 price increases, we have:
y = (-2/9)(18n) = -4n
Let q be the quantity of gaming systems sold at a price of $180. Then the equation for the price of the gaming system as a function of the quantity sold is:
p(q) = 180 + 18n = 180 + 18(q - q0)/4 = 180 + (9/2)(q - q0),
where q0 is the quantity of gaming systems sold at the original price of $180.
b. The revenue equation is given by R(q) = q*p(q). Substituting the expression for p(q) found in part (a), we have:
R(q) = q*(180 + (9/2)(q - q0)) = (9/2)q^2 + (180 - 9q0/2)q
c. To find the price and quantity sold that will maximize revenue, we can differentiate the revenue equation with respect to q, set the derivative equal to zero, and solve for q:
R'(q) = 9q - 9q0/2 = 0
q = q0/2
Substituting q = q0/2 into the revenue equation, we have:
R(q0/2) = (9/2)(q0/2)^2 + (180 - 9q0/2)(q0/2)
R(q0/2) = (9/8)*q0^2 + (45/2)*q0
To find the corresponding price, we can use the expression for p(q) found in part (a):
p(q0/2) = 180 + (9/2)(q0/2 - q0)
p(q0/2) = 135
Therefore, the price that maximizes revenue is $135, and the quantity sold at that price is q0/2.
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What is the range of the relation whose graph is shown?
Answers
The range of the relation whose graph is shown include the following: C. -1 ≤ y ≤ 1.
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = {-4, 4} or -4 ≤ x ≤ 4.
Range = {-1, 1} or -1 ≤ y ≤ 1.
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12. Higher Order Thinking If a clock face
reads 1:00, how many hours must pass for
the hands to form a straight angle?
own
Answers
Thus, Number of hours must pass for the hands to form a straight angle is 5 hours.
Explain about the hand of clock:To read the time on an analogue clock, look in the direction its hands are pointing. The current hour is indicated by the smallest hand, the current minute by the largest hand, and the current second by the thinnest hand.
There are 24 hours in a day, and the hour hand completes two full rotations of the clock because the numbers on the dial only go up to 12. once, from noon to midnight, and once, from midnight to noon.
Given data:
Current time on clock = 1:00
Hour hand at 1 .
Minute hand at 12.
Number of hours must pass for the hands to form a straight angle:
When
minute hand is at 12 and hour hand will be at 6.
Number of hours = 6: 00 - 1: 00
Number of hours = 5 hours
Thus, Number of hours must pass for the hands to form a straight angle is 5 hours.
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The owner of a sports complex wants to carpet a hallway connecting to buildings. The carpet costs $1.50 per square foot. How much does it cost to carpet the hallway?
Answers
Answer:
$526.75 i believe
Step-by-step explanation:
Find the area of a rectangle with length 4.3 cm and breadth 3.9 cm
Answers
Answer:
16.77 cm²
Step-by-step explanation:
Area of rectangle = L x W
L = 4.3 cm
Width = 3.9 cm
Let' solve
4.3 x 3.9 = 16.77 cm²
So, the area of the rectangle is 16.77 cm²
Alberto gets a fish tank
Answers
Jackson is on point. Of all fish, catfish make up one-third of the total.
How much gravel does Alberto add to the tank in pounds?The United States of America, Great Britain, and other English-speaking countries predominately utilise the pound as a unit of weight.
Any quantity associated with something is assumed to contain one pound if it does. The pound is the most widely used weight unit in the English-speaking world, including Britain, America, and other nations.
Zebra danios make up half of all the fish.
More fancy guppies than catfish, by a factor of two.
x = guppies
2x = catfish
x + 2x = 1/2 of the fish population
3x = 1/2 of the fish population
3x * 2 = 6x
x = 1/6 number of fancy guppies
catfish:
2x = 2(1/6) = 2/6 = 1/3 catfish.
Jackson is on point. Of all fish, catfish make up one-third of the total.
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The complete question is,
Alberto puts 3 kinds of fish in his fish tank: zebra danios, fancy guppies, and cat fish. Half of Alberto's fish are zebra danios. He has 2 times as many catfish as he has fancy guppies. Alberto's friend Jackson says 1/3 of Alberto's fish are catfish. Is Jackson correct?
a right triangle has a hypotenuse of length 7 inches. If one angle is 38 degrees, find the length of each leg.
Answers
Check the picture below.
[tex]\sin(38^o )=\cfrac{\stackrel{opposite}{x}}{\underset{hypotenuse}{7}}\implies 7\sin(38^o)=x\implies 4.31\approx x \\\\[-0.35em] ~\dotfill\\\\ \cos(38^o )=\cfrac{\stackrel{adjacent}{y}}{\underset{hypotenuse}{7}}\implies 7\cos(38^o)=y\implies 5.52\approx y[/tex]
Make sure your calculator is in Degree mode.
Answer:
4.31 in5.52 inStep-by-step explanation:
You want the leg measures in a right triangle with a hypotenuse of 7 inches and an angle of 38°.
Trig functionsThe mnemonic SOH CAH TOA reminds you of the relations between side lengths and trig functions:
Sin = Opposite/Hypotenuse ⇒ Opposite = Hypotenuse×Sin
Cos = Adjacent/Hypotenuse ⇒ Adjacent = Hypotenuse×Cos
ApplicationThe given triangle will have opposite and adjacent sides of ...
opposite = (7 in)sin(38°) ≈ 4.31 in
adjacent = (7 in)cos(38°) = 5.52 in
The leg lengths of the triangle are 4.31 inches and 5.52 inches.
7. Can the following be the lengths of the sides of a triangle?
a. 20 cm, 40 cm, 50 cm
b. 20 cm, 40 cm, 60 cm
c. 41 cm, 250 mm, 12 cm
Answers
Answer:
B
Step-by-step explanation:
THE TWO SMALLER SIDES = THE LARGER SIDE HENCE ITS A TRIANGLE