The integral to express the increase in the perimeter p(s) of a square when its side length s increases from 2 units to 5 units is:
p(s) = 4s
Integral = ∫2s5s ds
= ∫2s5s dx
= [s2/2]2s5s
= (25/2) - (4/2)
= 20/2
= 10
Therefore, the increase in the perimeter of the square when its side length s increases from 2 units to 5 units is 10 units.
To calculate this increase, we used the formula for the perimeter of a square, which is 4s, and the integral from 2s to 5s, which gives us the area under the graph and the difference between the two side lengths. We then solved for the integral and multiplied it by 4 to get the increase in the perimeter.
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Find the height and area of the polygon. Round your answer to the nearest thousandths (Use exact values until the end).
Answer:
height 6 radicAL 2 area: 120 radical 2
Step-by-step explanation:
Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.
Animal type Raccoon Skunk Fox
Number of animal 230 140 120
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included? (3 points)
a
2,500
b
280
c
1,400
d
380
Answer:
c
1,400
Step-by-step explanation:
We take the sample proportion of skunks and estimate for the entire population.
Sample:
140 skunks out of 230 + 140 + 120 = 490 animals.
140/490 = 0.28571428571
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?
0.28571428571 out of 5000. So
0.28571428571*5000 = 1429
Close to 1400, which means that the answer is given by option C.
The length of a rectangle is 5 centimeters less than twice its width. Its area is 63 square centimeters.
Find the dimensions of rectangle
Answer:
I think the Length is 5 cm and the width is 7 cm
Step-by-step explanation:
The library has allotted $480 for spring landscaping and has decided
to spend the money on flowering bushes. There is room to plant a total
of 36 bushes. Rose bushes cost $25 each and lavender bushes cost $5
each.
a. (2 PTS) Define your variables.
b. (3 PTS) Write an equation to represent the total number of bushes you
can purchase.
c. (3 PTS) Write an equation to represent the total cost of the bushes.
d. (3 PTS) How many of each type of bush should you purchase?
Answer:
a. x = roses
y= lavender
b. x + y=36
c. 25x + 5y = 480
d. 19 rose bushes and 1 lavender bush
FREE BRAINLIST NEED HELP ASAP
Answer:
The answer is C
Step-by-step explanation:
Trust me I made a graph to organize the numbers
Can someone help me pls
Answer:
Oops, didn't mean to answer because I already answered this one.
Step-by-step explanation:
Gabby draws a line segment to connect points (2,1) and (7,4). She draws a second lien segment that is parallel to the first one by connecting the points at (2,3) and (7,6). If she wants to draw a third line segment parallel to the ones she has already drawn, what ordered pairs could she use?
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Answer:
(2,5) and (7,8)
Step-by-step explanation:
Gabby has increased the y-coordinates by 2 units to get her first parallel line. She can do the same thing again to get the second parallel line.
(2, 3+2) = (2, 5)
(7, 6+2) = (7, 8)
subtract and simplify 1/6m - (-5/8 m +1/3)
show full work
Answer:
11/24
Step-by-step explanation:
first we work out the bracket -5/8+1/3= -7/24. then 1/6 - -7/24 two negatives means you will add to get the answer
evaluate the intergral2x(xsquared+3)exponent 4
Answer:
(x^2+3)^5/5 + C
Step-by-step explanation:
Here substitute u = x^2 + 3 , du/dx = 2x ---> dx= 1/2x du
Then: integral (u^4) du
Apply power rule: u^5/5
Then replace the substitution u=x^2+3 in u
= (x^2+3)^5/5 + C
Find the value of "x"
Need help ASAP giving away 15 points will mark brainlyist as well
Answer:
1. < 11
2. < 5
3. < 1
4. x=38
5. x=25
6. x=6
7. x=18
8. x=52
9. x=15
10. x=12
Step-by-step explanation:
1. Vertical Angles
2. complementary angles= 90
3. vertical Angles
4. Supplementary Angles- 4x+28=180
5. vertical Angles :2x+5=55
6. Right Angle: 7x+8x=90
7. Supplementary Angles: 119+3x+7=180
8. vertical Angles: 3x=156
9. vertical angles: 8x-4=116
10. right angles: 3x+7+4x-1=90
why does nobody talk to circles?
why does nobody talk to circles? :3
Answer:
Is this a joke
Step-by-step explanation:
I don’t know the answer
Maybe it’s “Because there is no point”
Evaluate the expression: 12 x (3+2)² ÷ 2 -10
Answer:
140
Step-by-step explanation:
Here, we use BODMAS
12 x (3+2)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 × 25 ÷ 2 - 10
12 × 12.5 - 10
150 - 10 = 140
Thus, The answer is 140
-TheUnknownScientist
Hello pleasee!!!!!!!!!!!!
Answer: go to I think it’s c but try a math solver to trust my answer
Step-by-step explanation:
Hope this helps
A human resources manager selected a random sample of 200 workers who donate to charity. The following table shows the distribution of the 200 workers.
Count Type of worker Management Other white collar 96 50 S Blue collar 54
The manager conducts a goodness-of-fit test to determine whether the proportions of workers of these types are identical to the population proportions of workers donating to charity, which are 50 percent for management, 30 percent for other white-collar workers, and 20 percent for blue-collar workers. Which of the following statements must be true about the sample?
A. The expected number of blue-collar workers donating to charity is less than 30.
B. The expected number of management workers donating to charity is 100.
C. The expected numbers of other white collar and blue-collar workers donating to charity are the same.
D. The expected number of other white-collar workers donating to charity is 50
E. The combined expected numbers of other white collar and blue-collar workers donating to charity is greater than the expected number of management workers donating to charity.
Answer: B the expected # of management workers donating to charity is 100
Step-by-step explanation:
50% = management so, .50(200)=100
The difference between a blue-collar worker and a white-collar worker is Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.
Thus the correct option is D.
What is a white-collar worker?White collar employees refer to individuals who work as a salaried employees in a professional workspace. They work on the managerial profile or executive profiles also clerical positions. This type of worker has a particular office setting in which they perform their task.
here, we have,
Blue collar employees refer to an individual who does not work on salaries instead they receive daily wages on the basis of the number of hours they spent. These refer to laborers or workers who do not have any qualifications or skills to perform the task.
Therefore, option D is appropriate.
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complete question:
What is the difference between a blue-collar worker and a white-collar worker? O White-collar workers must wear a shirt and tie to work, but blue-collar workers can dress casually. thing O White-collar workers keep their clothes clean during the course of the workday, and blue-collar workers do not. O Blue-collar workers have defined work clothes or protective attire, while white-collar workers wear white shirts. O Blue-collar workers are unskilled, manual laborers, and white-collar workers are professionals or semiprofessionals.
Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modeled its flight path as a
parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the
path of the ball.
Answer:
The vertex of the parabola is
✔ (210, 138)
The highest the ball traveled was
✔ 138
feet.
Step-by-step explanation:
Edge 2022
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The highest the ball has travelled is 138 feet.
What is an equation of a parabola?A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in form (x, y);
a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.
A.) In the given quadratic equation, the vertex of the equation is y=-0.003(x-210)² + 138 is (210,138).
B.) Since the vertex is the highest point, therefore, The highest the ball has travelled is 138 feet.
The complete question is,
Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modelled its flight path as a parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the
path of the ball.
The vertex of the parabola is ?
The highest the ball travelled was? Feet
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Two groups of school children had their forearm lengths measured. Dot plots are provided showing these results.
a
Group Y. There were 6 children who had a forearm length that measured longer than 12 inches.
b
Group X. There were 4 children who had the lowest forearm length of 10 inches in this group.
c
Group X. None of the children in this group had a forearm length longer than 12 inches.
d
Group Y. One child in this group had the smallest forearm length of 10 inches.
Answer:
Stament a, b, and c are correct.
Statement d is INCORRECT.
Step-by-step explanation:
Based on the dot plots given, the following statements are true and correct:
✔️Statement A is correct
Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.
✔️Statement b is correct:
Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.
✔️Statement c is correct:
Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.
❌Statement d is NOT CORRECT
Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the proportion of the travelers who feel that airports are safe. The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe. With an alpha level of 0.05, conduct a test to determine whether the true proportion of interest is higher than 0.7.
Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]
And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]
[tex]z = 2.44[/tex]
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Find the median: 12, 5, 9, 18, 22, 25, 6, 15, 28, 14, 8, 24
Answer:
14.5
Step-by-step explanation:
I need to find the area, I just need to show my work any answers can help.
4x+15 what is the value of X
Answer:
No solution
Step-by-step explanation:
4x+15 doesn't equal anything so it's impossible to solve.
Unless you forgot to add what it equals I can't solve it for you :(
Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
Answer:
4
Step-by-step explanation:
(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4ˣ/2ˣ.
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
In the given expression x is the variable and division is the operator.
Which means Four to the power of x and divided by two to the power of x.
4ˣ/2ˣ.
The numerator 4ˣ can be written as (2)²ˣ
(2)²ˣ/2ˣ
Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
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If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?
Answer:
1 taco is $4
Step-by-step explanation:
2t + 3d = 14 4t + 6d = 28
3t + 2d = 16 -9t -6d = -48
-5t = -20
t = 4
A tacos would cost $4.00.
Let the cost of tacos be T.Let the cost of drinks be D.Translating the word problem into an algebraic equation, we have;
[tex]2T \; + \; 3D = 14[/tex] ......equation 1
[tex]3T \; + \; 2D = 16[/tex] ......equation 2
To find how much a tacos cost, we would solve the above system of equations by using the substitution method.
From eqn 1, we would make D the subject of formula;
[tex]D = \frac {14 \; - 2T}{3}[/tex] .....equation 3
Substituting eqn 3 into eqn 2, we have;
[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]
Lowest common multiple (LCM) = 3
[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]
Cross-multiplying, we have;
[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]
Tacos, T = $4.00
Therefore, the cost of a tacos is $4.00.
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A snowball has a diameter of 6 centimeters. How long would it take the snowball to melt if it melts at a rate of 1.8 cubic centimeters a minute.
Which point graphed below has an x-coordinate that is less than 0 and a y-coordinate that is greater than 0?
O Point L
O Point M
O Point N
O Point o
What is the tan M, sin M and Cos M?
I hope this helps you
tgM=39/80
sinM=39/89
cosM=80/89
Help please will mark brainliest
Answer:
SA = 638 mi²Steps:
SA = 2L² + 4(LH)
SA = 2×11² + 4(11×9)
SA = 2×121 + 4×99
SA = 242 + 396
SA = 638 mi²
Will give brainliest and 50 points to who ever gives me the answer and not a link
Find the surface area of the
triangular prism.
10 ft.
3 ft.
ft.
3 ft.
[?] sq ft.
Accountants often use the median when studying salaries for various businesses. What is the median of the following salary list: $32,019; $21,971; $27,596; $43,715, $38,850, $25,963?
Answer
40.5
Step-by-step explanation
A square patio has a side length of (x − 8) feet. It is surrounded by a flower garden with a uniform width. The side length of the entire square area including the patio and the flower garden is (x + 8) feet. Enter an expression for the area of the flower garden.
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Answer:
32x ft²
Step-by-step explanation:
The area of the garden plus patio is ...
(x +8)² = x² +16x +64
The area of the patio is ...
(x -8)² = x² -16x +64
The area of the flower garden is the total area less the patio area:
(x² +16x +64) -(x² -16x +64) = 32x . . . area of the flower garden