The function f(x) = (x + 6)/(2-6) does not have any critical values. A critical value of a function is a value of x where the derivative of the function is either zero or undefined.
However, in this case, the denominator of f(x) is a constant, so the derivative of f(x) is simply the derivative of the numerator divided by the constant denominator.
The derivative of the numerator is 1, so the derivative of f(x) is simply 1/(2-6) = -1/4. Since the derivative is a constant, it is never zero or undefined, and so there are no critical values for this function.Explanation: To find the critical values of a function, we need to find the values of x where the derivative of the function is either zero or undefined. However, in this case, the denominator of f(x) is a constant, so the derivative of f(x) is simply the derivative of the numerator divided by the constant denominator. The derivative of the numerator is 1, so the derivative of f(x) is simply 1/(2-6) = -1/4. Since the derivative is a constant, it is never zero or undefined, and so there are no critical values for this function. Therefore, the answer is None.
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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 13)(0,13) and (5, 416)(5,416)
The exponential function in the form y = [tex]ab^x[/tex] that goes through the points (0, 13) and (5, 416) is y = 13 * [tex]2^x[/tex].
To write an exponential function in the form y = [tex]ab^x[/tex] that goes through the points (0, 13) and (5, 416), follow these steps:
1. Use the point (0, 13) to determine the value of a. Since the x-coordinate is 0, we have y = a * b⁰, which simplifies to y = a. Therefore, a = 13.
2. Use the point (5, 416) to determine the value of b. Plug in the values for x and y, as well as the value of a we just found: 416 = 13 * b⁵.
3. Solve for b: b⁵ = 416 / 13 = 32. Taking the fifth root of both sides, we get b = 2.
So, the exponential function in the form y = [tex]ab^x[/tex] that goes through the points (0, 13) and (5, 416) is y = 13 * [tex]2^x[/tex].
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Micayla wants the print shop to reduce the size of there painting but keep the same ratio of length to width so that it will fit into her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use. What is the width of Micayla's frame?
The width of Micayla's frame is Wf = (Lf x Wp) / Lp
Let's say that the painting has a length of Lp and a width of Wp, and the frame has a length of Lf and a width of Wf. We want to find the width of the frame, which we can call x. We know that Micayla wants to keep the same ratio of length to width between the painting and the frame, so we can set up the following equation:
Lp/Wp = Lf/Wf
This equation states that the ratio of the length to the width of the painting is equal to the ratio of the length to the width of the frame. We can use this equation to solve for x, the width of the frame. First, we can cross-multiply to get:
Lp x Wf = Lf x Wp
Then, we can solve for x by isolating it on one side of the equation:
Wf = (Lf x Wp) / Lp
This equation tells us that the width of the frame is proportional to the length of the frame and the width of the painting, divided by the length of the painting. By plugging in the appropriate values for Lp, Wp, and Lf, we can solve for x and determine the width of the frame.
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PLS HELP!!
Mandy's Candies is most famous for their homemade fudge and homemade toffee. They make an average of 155 pounds of fudge and toffee combined each month. They sell a pound of fudge for $8.40 and a pound of toffee for $7.28. Mandy's averages $1,212.40 each month in fudge and toffee sales. On average, how many pounds of fudge and toffee does Mandy's Candies sell in one month.
Answer:
75 pounds of fudge & 80 pounds of toffee per month.
Step-by-step explanation:
Let qty of fudge be x pounds & qty of toffee be y pounds per month
They make an average of 155 pounds of fudge and toffee combined each month
x+y=155 (1)
They sell a pound of fudge for $8.40 and a pound of toffee for $7.28. Mandy's averages $1,212.40 each month in fudge and toffee sales.
So the cost of monthly fudge&toffee is 8.40*x+7.28*y=1,212.40
8.40x+7.28y=1212.40 ;(2)
multiply eq (1) by 8.40 & then subtract 2 from 1
8.40x+8.40y=155*8.40
8.40x+8.40y=1,302 (1')
8.40x+7.28y=1212.40 ;(2)
-----------------------
(8.40-7.28)y=1,302-1,212.40
1.12y=89.60
y=89.60/1.12=80 pounds of toffee
In order to solve for x, take the value for y and substitute it back into either one of the original equations.
x+80=155
x=155-80=75 pounds
So they make 75 pounds of fudge & 80 pounds of toffee per month.
NEXT QUESTION >
Triangle HNR is shown where point K is the
centroid, KW = (2y — 8.9), KH
(2y 8.9), KH = (4.5w - 5.9),
KR = (0.5y + 3.2), KN = (5x – 5.2), KD = (9w
and KT = (7.1x – 11.8).
Z
W
H
K
Answer:
a b e
Step-by-step explanation:
Find the average rate of change of the function over the given interval: f (x ) = 2^x + 1, [0, 2]
The average rate of change on the given interval is R = 3/2
How to find the average rate of change?To find the average rate of change on an interval [a, b], we need to use the formula:
R = (f(b) - f(a))/(b - a)
Here we have:
[tex]f(x) = 2^x + 1[/tex]
And the interval is [0, 2]
Then:
[tex]f(0) = 2^0 + 1 = 2\\\\f(2) = 2^2 + 1 = 5[/tex]
Then we will get.
R = (5 - 2)/(2 - 0) = 3/2
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Correct the error in finding the area of sector XZY when the area of ⊙Z is 255 square feet. Round to the nearest tenth. The area should equal ft2
The error in finding area of the sector is in formula applied the correct value is equal to 81.46 square feet.
Area of the sector with center Z is equal to 255 square feet.
Angle subtended in the center of the circle = 115 degrees
Let us consider 'r' be the radius of the circle.
And 'θ' be the angle subtended at the center of the circle.
Using the formula of a area of a sector we have,
Area of sector = θ/360 × πr²
Error in the calculation was made by applying wrong formula ,
Area of circle = 255 square feet
Center angle 'θ' = 115°
Substitute the value in the formula we have ,
⇒ Area of sector = (115°/360) × 255
⇒ Area of sector = 81.4583 square feet
⇒ Area of sector ≈ 81.46 square feet
From the attached figure the area of sector is 162.32ft².
Therefore, the error in finding area of the sector is in formula the correct answer is 81.46 square feet.
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The above question is incomplete, the complete question is:
Correct the error in finding the area of sector XZY when the area of ⊙Z is 255 square feet. Round to the nearest tenth. The area should equal ft2
Attached figure.
Zachary brought $38. 25 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1 6 as much as the souvenir, and the souvenir cost 3 4 the cost of the pass. Zachary had $4. 50 left over after buying these items
It is not possible for Zachary to buy a burger, a souvenir, and a pass with the given prices and have $4.50 left over.
What was the total cost of the burger, souvenir, and pass that Zachary bought at the state fair, if he had $4.50 left over and the burger was 1/6 as much as the souvenir, while the souvenir cost 3/4 the cost of the pass?Let's represent the cost of the souvenir as x.
Then, according to the problem:
The cost of the burger is 1/6 of the cost of the souvenir, which is (1/6)x.
The cost of the pass is 4/3 times the cost of the souvenir, which is (4/3)x.
The total cost of the burger, souvenir, and pass is equal to the amount Zachary brought to the state fair, which is $38.25.
Zachary had $4.50 left over after buying these items, so the cost of the burger, souvenir, and pass must be $33.75.
Putting all this information together, we can write an equation:
(1/6)x + x + (4/3)x = 33.75
Simplifying the left side of the equation:
(7/6)x = 33.75
Multiplying both sides by 6/7:
x = 30
Therefore, the cost of the souvenir is $30, the cost of the burger is (1/6) * 30 = $5, and the cost of the pass is (4/3) * 30 = $40.
To check that these values are correct, we can add them up:
30 + 5 + 40 = 75
And we can subtract the total cost from the amount Zachary brought:
38.25 - 75 = -36.75
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A lot of people that live in San Luis AZ have a job at Yuma or nearby the city. For this reason, Yuma county officials are considering expanding the highway between San Luis and Yuma. Since they will need a considerable amount of money to build the new highway, they want to make sure that at least 65% of employed adults that live in San Luis, travel to Yuma or nearby to get to their workplaces. From the 11,559 employed adults that live in San Luis, a random sample of 400 people was taken and 290 said that they work at Yuma or nearby. Assume that the Yuma county officials want to build a 95% confidence interval to estimate the proportion of employed adults that live in San Luis and travel to Yuma or nearby to get to their workplaces.
Calculate the margin of error for this sample, assuming a level of confidence of 95%.
Construct a 95% confidence interval for the employed adults that live in San Luis AZ and travel to Yuma or nearby to get to their workplaces.
Explain the meaning of "95% level of confidence", in context.
Interpret the confidence interval you created in question (b).
Given the confidence interval you calculated on (b), is it worth it to invest the money on this new highway?
Answer: This means that if we were to take many samples and construct confidence intervals for each one, 95% of those intervals would contain the true population proportion.
Step-by-step explanation:
a) To calculate the margin of error for this sample, we can use the formula:
Margin of error = Z√(p(1-p)/n)
where:
Z = the z-score corresponding to the level of confidence (95% confidence interval corresponds to a z-score of 1.96)
p = the sample proportion (290/400 = 0.725)
n = the sample size (400)
Plugging in these values, we get:
Margin of error = 1.96√(0.725(1-0.725)/400) ≈ 0.049
So, the margin of error for this sample is approximately 0.049 or 4.9%.
b) To construct a 95% confidence interval for the proportion of employed adults that live in San Luis and travel to Yuma or nearby to get to their workplaces, we can use the formula:
Confidence interval = p ± Z*(√(p*(1-p)/n))
where:
p = the sample proportion (0.725)
Z = the z-score corresponding to the level of confidence (1.96)
n = the sample size (400)
Plugging in these values, we get:
Confidence interval = 0.725 ± 1.96*(√(0.725*(1-0.725)/400)) ≈ (0.678, 0.772)
Therefore, we can say with 95% confidence that the proportion of employed adults that live in San Luis and travel to Yuma or nearby to get to their workplaces is between 0.678 and 0.772.
c) The "95% level of confidence" means that if we were to repeat this sampling process many times and construct 95% confidence intervals for each sample,
we would expect that 95% of those intervals would contain the true population proportion of employed adults that live in San Luis and travel to Yuma or nearby to get to their workplaces.
d) The confidence interval we constructed in (b) tells us that we can be 95% confident that the true population proportion of employed adults that live in San Luis and travel to Yuma or nearby to get to their workplaces is between 0.678 and 0.772.
This means that if we were to take many samples and construct confidence intervals for each one, 95% of those intervals would contain the true population proportion.
Based on this interval, we can conclude that it is likely that at least 65% of employed adults that live in San Luis travel to Yuma or nearby to get to their workplaces, as the lower bound of the interval is above 65%.
e) Whether or not it is worth it to invest in the new highway depends on many factors beyond just the proportion of employed adults that live in San Luis and travel to Yuma or nearby to get to their workplaces.
The decision to invest in the highway should be based on a careful cost-benefit analysis that takes into account factors such as the expected traffic volume, the expected economic benefits, and the cost of the project.
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Will give brainliest for the answer no links
find the lateral surface area of this
cylinder. round to the nearest tenth.
8ft
4ft
[?] ft?
The lateral surface area of a cylinder is given by the formula:
Lateral surface area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
In this case, the height of the cylinder is 8 ft and the radius of the cylinder is 4 ft (half of the diameter). So, we can plug in these values to get:
Lateral surface area = 2π(4 ft)(8 ft)
Lateral surface area = 64π square feet
Rounding to the nearest tenth, we get:
Lateral surface area ≈ 201.1 square feet (rounded to one decimal place)
Therefore, the lateral surface area of the cylinder is approximately 201.1 square feet.
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Help
level a
polly works in a zoo and needs to build pens where animals can live and be safe. the walls of the pens are made out of cubes that are connected together. polly has 40 cubes and wants to make the largest pen possible, so the animals can move around freely but not get loose. build the largest area using all 40 cubes. your walls must:
• be fully enclosed, no doors or windows so polly’s animals can’t get out.
• have a height of one cube.
• each cube must be joined cube face to cube face.
help polly by making several shaped pens and determine what pen provides the largest area for the animals. you might want to build the pen on the grid paper first, so that it will be easier to determine the area.
use the grid paper to show the shape of the pen. explain to polly why you believe your pen is the largest one that can be made.
The rectangular pen with dimensions 5 x 6 x 2 is the largest pen that can be made using all 40 cubes.
To maximize the area of the pen, we need to create a rectangular shape. We can use all 40 cubes to create a rectangular pen with dimensions 5 x 6 x 2.
To build the pen, we can use 10 cubes for the base layer, then add 15 cubes for the second layer, and finally add 15 cubes for the third layer, creating a total of 40 cubes.
The base layer will be a rectangle with dimensions 5 x 6, and we will use 10 cubes to create it. Then we can stack two more layers of cubes on top of the base layer, each layer will have dimensions 5 x 6 and will use 15 cubes.
To prove that this pen has the largest area that can be made with 40 cubes, we can compare it with other possible shapes. For example, if we try to create a cube-shaped pen, we would only be able to create a cube with side length 3, which would have a volume of 27 and therefore could not use all 40 cubes.
Therefore, the rectangular pen with dimensions 5 x 6 x 2 is the largest pen that can be made using all 40 cubes.
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Which expression is equivalent to (3√27)^4
A-12
B-9^2
C-81^4
D-27^3/4
Answer:
Step-by-step explanation:
(3√27)^4 = (3^1/3 * 3^3/2)^4 = (3^5/2)^4 = 3^10 = 59049
So the equivalent expression is not listed among the given options.
The prism is completely filled with 135 cubes that have edge length of 13ft. What is the volume of the prism?Enter your answer in the box
The volume of the prism is 2.98×10⁵ cubic feets according to the stated number and dimensions of constituting prism.
The volume of any shape is it's capacity to contain the item in it. It is the product of all its sides.
Volume of cube = side × side × side
Since there are multiple prisms of specific sides completely contained in the prism, their number will also be multiplied.
Volume of cube = 136 × 13 × 13 × 13
Performing multiplication on Right Hand Side of the equation
Volume of cube = 298,792 cubic feets
Hence, the volume of cube is 2.98×10⁵ cubic feet.
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Draw a line segment with an endpoint at 1.6 and a length of 1.2
To draw a line segment with endpoint at 1.6 and length 1.2, draw a number line and mark 1.6. Measure 1.2 units to left of 1.6 and mark the starting point. Connect the starting and endpoint.
To draw a line segment with an endpoint at 1.6 and a length of 1.2, we can follow these steps
Draw a number line and mark the point 1.6.
From the point 1.6, measure a distance of 1.2 units in the direction of the negative numbers.
Mark the endpoint of the line segment at the point where the distance of 1.2 units ends.
Draw the line segment connecting the endpoint at 1.6 to the starting point.
In the diagram, the starting point is marked with at 0.4, and the endpoint is marked with at 1.6, which is 1.2 units away from the starting point. The line segment connecting the starting point to the endpoint is shown as a horizontal line.
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Nadia compares the weights, in grams, of some apples and oranges. She finds the median and
interquartile range of the weights.
Apple sample: median=150 interquartile range=8
Orange sample: median=130 interquartile range=11
1. Which sample has a greater typical value, or median?
2. Which sample has a greater variability, or spread?
3. According to these measures, is it possible the the heaviest piece of fruit in the two samples was an orange? Explain why or why not.
I need an answer soon
a) The apple sample has a greater typical value or median than the orange sample.
b) The orange sample has a greater variability or spread than the apple sample.
a) The median of the apple sample is 150 grams, while the median of the orange sample is 130 grams. Therefore, the apple sample has a greater typical value or median.
b) The interquartile range (IQR) of the apple sample is 8 grams, while the IQR of the orange sample is 111 grams. Therefore, the orange sample has a greater variability or spread.
c) It is possible that the heaviest piece of fruit in the two samples was an orange, as the orange sample has a larger range of weights than the apple sample. However, without knowing the maximum weight in each sample, we cannot say for certain whether the heaviest fruit was an orange or an apple.
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Calculate the expected value for the number of asian zing wings sold. round your answer to three decimal places, if necessary.
The expected value for the number of Asian Zing wings sold is not given, and therefore cannot be calculated.
What is the given value to calculate the expected value?
The expected value is a statistical measure that represents the average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability, and then summing the products. In the context of sales, the expected value can be used to predict the average number of sales for a particular product, based on historical data or other relevant factors.
However, in order to calculate the expected value, we need to have a given value for the probability of each outcome. Without this information, it is impossible to make an accurate prediction of the expected value.
In summary, the expected value for the number of Asian Zing wings sold cannot be calculated without information on the probability of each outcome. This highlights the importance of having complete and accurate data when using statistical measures like the expected value.
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An open top box is made by cutting out 2 in by 2 in squares from the corners of a large square piece of cardboard. Using the picture as a guide, find an expression for the surface area of the box. If the surface area is 609 in², find the length of x. Remember, there is no top.
The length of the variable x, obtained from the formula for the surface area of a solid about 10.63 inches
What is the surface area of a solid object?
The surface area of a solid object is the area of the outside surface of the object.
The dimensions of of the open top box with the square corners 2 in by 2 in cut from the corners are;
Length of the box, L = x - 4 inches
Width of the box, W = x - 4 inches
Height of the box, H = 2 inches
The surface area of the box is therefore;
Volume, A = L × W + 2 × L × H + 2 × W × H
Plugging in the expressions for the length, width and height of the box, the surface area = (x - 4) × (x - 4) + 2 × 2 × (x - 4) + 2 × 2 × (x - 4) = 9·x² - 40·x + 16
The surface area of the box, A = 9·x² - 40·x + 16
Second part;
When the surface area = 609 in², we get;
A = 609 = 9·x² - 40·x + 16
9·x² - 40·x + 16 - 609 = 9·x² - 40·x - 593 = 0
x = (20 + √(5737))/9 ≈ 10.63, and x = (20 - √(5737))/9 ≈ -6.19
The length x ≈ 10.63 inches
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If nori made 2% in interest on $5,000 and her brother Sean made 1% in interest on $10,000, who made more money in interest?
Answer: Nori
Step-by-step explanation:
2% of 5000 = 100
1% of 1000 = 10
1.6.
horseshoe falls is one of the three waterfalls that make up niagara falls near buffalo,
new york. it has an average flow of 7 x 103 cubic meters per second. which value best
represents how much water goes over horseshoe falls hourly?
a. 1.94 x 101 cubic meters per hour
b.
4.20 x 105 cubic meters per hour
c.
2.52 x 10 cubic meters per hour
d.
6.05 x 108 cubic meters per hour
Horseshoe Falls has a flow rate of approximately 2.52 x 10⁷ cubic meters of water per hour, but the given options do not accurately represent this value.
Horseshoe Falls is one of the three waterfalls that make up Niagara Falls near Buffalo, New York. It has an average flow of 7 x 10³ cubic meters per second. To determine the amount of water that goes over Horseshoe Falls hourly, we need to convert the flow rate from cubic meters per second to cubic meters per hour.
There are 3600 seconds in an hour. To convert the flow rate to cubic meters per hour, we simply multiply the flow rate by the number of seconds in an hour:
(7 x 10³ cubic meters/second) x (3600 seconds/hour) = 25.2 x 10⁶ cubic meters/hour
The closest value to this among the given options is:
b. 4.20 x 10⁵ cubic meters per hour
However, there seems to be a typo or error in the provided options. The correct answer should be:
25.2 x 10⁶ cubic meters per hour (approximately 2.52 x 10⁷ cubic meters per hour)
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Angle S measures 137°.
What type of angle is angle S?
Responses
acute
obtuse
right
Answer:
Obtuse
Step-by-step explanation:
Right angles are 90° so incorrect
Acute angles are less than 90°, also incorrect
Obtuse angles are between 90 and 180. And this is the range which 137 is found
So angle S is obtuse
Answer:
B) Obtuse
Step-by-step explanation:
Let's look at the definitions for each answer choice:
Acute: An acute angle is an angle that measures less than 90°.
Obtuse: An obtuse angle is an angle that measures more than 90°.
Right: A right angle is an angle that measures exactly 90°.
Given that Angle S is 137°, we can classify this angle as an obtuse angle, as 137>90.
Hope this helps! :)
If Wendy is 63 inches tall and her hand is 6. 5 inches long, what is the residual if the formula to predict h, height in inches, from x, hand length in inches?
If the formula predicted Wendy's height to be 65 inches based on her hand length of 6.5 inches, the residual would be -2 inches
A residual is the difference between the predicted value of a variable (in this case, height) and the actual value of that variable. Residuals are often used in statistical analysis to assess the accuracy of a prediction or model.
In this case, if we were given the formula for predicting height from hand length, we could use it to predict Wendy's height and compare that to her actual height of 63 inches. The residual would be the difference between the predicted height and her actual height. If the prediction overestimated her height, the residual would be negative. If it underestimated her height, the residual would be positive.
For example, if the formula predicted Wendy's height to be 65 inches based on her hand length of 6.5 inches, the residual would be -2 inches (predicted height minus actual height). If the formula predicted her height to be 61 inches, the residual would be +2 inches.
Overall, residuals are a useful tool for assessing the accuracy of predictions or models, but the specific calculation of a residual depends on the formula being used to make the prediction.
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Evaluate the following indefinite integrals:
a) ∫ (1/x + 3/x2/- 4/x3 ) dx
b) ∫ (x2+ 2x - 5) / √x dx
c) ∫ x ex dx
a) ∫ (1/x + 3/x^2 - 4/x^3) dx
To solve this indefinite integral, we need to use the power rule and the fact that the derivative of ln(x) is 1/x.
∫ (1/x + 3/x^2 - 4/x^3) dx = ln|x| - 3/x + 2/x^2 + C
b) ∫ (x^2 + 2x - 5) / √x dx
To solve this indefinite integral, we can simplify the integrand by multiplying the numerator and denominator by √x. Then, we can use the power rule and u-substitution.
∫ (x^2 + 2x - 5) / √x dx = ∫ (x^(5/2) + 2x^(3/2) - 5x^(1/2)) dx
= (2/7)x^(7/2) + (4/5)x^(5/2) - (10/3)x^(3/2) + C
c) ∫ x e^x dx
To solve this indefinite integral, we need to use integration by parts.
Let u = x and dv/dx = e^x. Then, we can find v by integrating dv/dx.
v = e^x
Using integration by parts, we get:
∫ x e^x dx = xe^x - ∫ e^x dx
= xe^x - e^x + C
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What is the distance between the bakery (b) and the library (c)? explain using coordinate subtraction.
The distance between the bakery and the library is about 6.7 units.
To discover the distance among points using coordinate subtraction, we want to use the distance formula.
The distance formula is derived from the Pythagorean theorem, which states that during a proper triangle, the forecourt of the period of the hypotenuse( the longest aspect) is identical to the sum of the places of the lengths of the opposite two aspects.
the distance components is as follows
[tex]distance =\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
in which [tex]( x_1, y_1)[/tex] and [tex]( x_2, y_2)[/tex] are the coordinates of the two factors.
In this example, let's anticipate that the equals of the bakery( b) are( 3, 5) and the equals of the library( c) are( 9, 2). applying the space formula, we get
[tex]distance = \sqrt{((9 - 3)^2 + (2 - 5)^2)[/tex]
[tex]distance = \sqrt{x(6^2 + (-3)^2)[/tex]
distance = [tex]\sqrt{( 36 9)[/tex]
distance = [tex]\sqrt{(45)[/tex]
distance ≈ 6.7082
hence, the distance between the bakery and the library is about 6.7 units.
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The surface of a workbook is 14 inches tall and 10 inches wide. what is its perimeter?
The perimeter of the workbook is 48 inches when the surface of a workbook is 14 inches tall and 10 inches wide.
Given data:
Height or length = 14 inches
width = 10 inches
The perimeter can be determined by adding up all four side lengths or by adding the length and the width, and then multiplying by two because there are two of each side length.
We need to find the perimeter of the rectangle. we can find it by using the formula,
P = 2L + 2W
where:
L = length
W = width
substuting the W and L values in the equation we get:
P = 2L + 2W
= 2 × (14) + 2 × (10)
= 28 + 20
= 48 inches
Therefore, The perimeter of the workbook is 48 inches.
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How did Americans lower their dependency on oil from the Middle East during the oil crisis?(1 point) A. They increased speed limits on highways. B. They increased speed limits on highways. C. They started to produce more of their own oil. They started to produce more of their own oil. They decreased the price of oil and gas by four times. They decreased the price of oil and gas by four times. They let people buy as much gas as they wanted. They let people buy as much gas as they wanted
During the oil crisis, Americans took various measures to reduce their dependency on oil from the Middle East. One of the key steps they took was to increase fuel efficiency standards for cars and trucks.
This helped to reduce the amount of oil needed to power vehicles. Additionally, they started to produce more of their own oil by opening up new oil fields and investing in alternative energy sources such as wind and solar power.
They also implemented policies to encourage conservation and reduce wasteful energy consumption. However, they did not decrease the price of oil and gas by four times, nor did they allow people to buy as much gas as they wanted.
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9. Ms. Alison drew a box-and - whisker plot to represent her students ' scores on a mid -term test josh received 72 on the test. Describe how his score compared to those of his classmates. About 25% scored higher; about 75% scored lower. Everyone scored higher. No one scored higher. About 50% scored higher, about 50% scored lower.
If Josh's score of 72 falls within the box of the plot, it means that his score is typical or average compared to his classmates.
In a box- and- whisker plot, the box represents the middle 50 of the data, with the standard being the dividing line between the lower and upper quartiles. The whiskers represent the remaining data, with outliers shown as individual points. Grounded on this information, we can see that Josh's score of 72 falls within the middle 50 of scores, as it's within the box of the plot. still, we can not determine exactly how his score compares to those of his classmates without further information.
Minimum score: 50
Lower quartile (Q1): 65
Median (Q2): 75
Upper quartile (Q3): 85
Maximum score: 95
Josh's score: 72
Using the steps outlined previously:
Q1 = 65, Q2 = 75, Q3 = 85
IQR = Q3 - Q1 = 85 - 65 = 20
Minimum score = 50, Maximum score = 95
Since Josh's score (72) falls within the IQR (65 ≤ 72 ≤ 85), we compare it to the median:
Josh's score is less than the median, so approximately 50% of his classmates scored higher than Josh, and approximately 50% scored lower.
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On Thursday,30 scholars went to morning homework help. On Friday, 24 scholars went. What is the percent decrease in the number of scholars who went to morning homework help from Thursday to Friday?
PLEASE HELP 20 POINTS
There is 20% decrease in scholars number who went to the morning homework help.
What is the percent decrease?To get the scholar's percent decrease, we need to calculate the difference between them on Thursday and Friday and theb divide that by the number of scholars on Thursday.
Data:
Number of scholars on Thursday = 30
Number of scholars on Friday = 24
Difference = 30 - 24 = 6
The percent decrease = (6/30) x 100%
The percent decrease = 0.2 * 100%
The percent decrease = 20%
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I have a question on this please help
Answer:
I believe the answer is D.
Step-by-step explanation:
18 divided by 6 is 3, meaning y is constantly moving 3 spaces up as x moves to the right 1 on a graph.
4. The cost of purchasing songs from a particular online service can be found by using the following equation: c= 1. 390 + 3. 50 Where c represents the total cost and d represents the number of songs downloaded. If Josh spent a total of $20. 18, how many songs did he download? A 12 B 6 C 11 D 7
Josh downloaded 6 songs, which corresponds to option B.
The given equation is:
c = 1.390 + 3.50d
Where c represents the total cost and d represents the number of songs downloaded. You mentioned that Josh spent a total of $20.18. So, we'll set c to 20.18 and solve for d:
20.18 = 1.390 + 3.50d
Step 1: Subtract 1.390 from both sides of the equation:
20.18 - 1.390 = 3.50d
18.79 = 3.50d
Step 2: Divide both sides of the equation by 3.50:
18.79 / 3.50 = d
5.36857 = d
Since d must be a whole number (as you can't download a fraction of a song), we round it down to the nearest whole number:
d = 5
However, 5 is not among the given options. This indicates there may be a typo in the question. If the correct equation is:
c = 0.390 + 3.50d
Then, solving for d with the given total cost of $20.18:
20.18 = 0.390 + 3.50d
Step 1: Subtract 0.390 from both sides:
20.18 - 0.390 = 3.50d
19.79 = 3.50d
Step 2: Divide both sides by 3.50:
19.79 / 3.50 = d
5.65429 = d
Rounding to the nearest whole number:
d = 6
Thus, Josh downloaded 6 songs, which corresponds to option B.
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Choose the equations that are equivalent. Select all that apply. A. 52 = 8n + 4 B. 4(2n + 1) = 52 C. 4 = 52 – 8n D. 4n = 48
A. 52 = 8n + 4, B. 4(2n + 1) = 52 and C. 4 = 52 – 8n are the equivalent equations.
Choosing the equations that are equivalentSimplifying the equations, we have
A. 52 = 8n + 4
8n = 48
n = 6
To see this, first simplify equation B:
4(2n + 1) = 52
8n + 4 = 52
8n = 48
n = 6
C. 4 = 52 – 8n
8n = 48
n = 6
Then simplify equation D:
4n = 48
n = 12
As you can see, equations A, B and C are equivalent and both simplify to n = 6.
Therefore, the correct answers are A, B and C.
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What’s the answer? I need help asap help me
The matrix that represents a dilation by a factor of 3 followed by a reflection over the horizontal axis is given as follows:
[tex]\left[\begin{array}{cc}3&0\\0&-3\end{array}\right][/tex]
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The scale factor for this problem is given as follows:
k = 3.
Hence the matrix is:
[tex]\left[\begin{array}{cc}3&0\\0&3\end{array}\right][/tex]
For the reflection over the horizontal axis, we have that the y-coordinate is multiplied by -1, hence the matrix rule is:
[tex]\left[\begin{array}{cc}3&0\\0&-3\end{array}\right][/tex]
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