1. The length of each side of a square increased by 40%. By what percent does the area of the square increase?
2. The length of a rectangle increases by 20%, and the width decreases by 20%. What is the overall percent change in the area of the rectangle?

(they are two separate questions)

Answers

Answer 1

Answer: to number 1 :The area of the square increases by 96% to number 2:  increase in width = 50%

Step-by-step explanation


Related Questions

factorise
18p+6
please im so bad​

Answers

ANSWER: 18p+6= 6(3p+1)


1) Use the distributive property to write an expression that is equivalent to 8(a + 4).
8(a + 4) = _a + _

Answers

8a + 32
Distribute the 8 to each term in the parentheses.

How to find the derivative???

Answers

[tex]e^{2x} = \ln(y^3)\\\\\implies e^{2x} = 3 \ln y\\\\\implies \dfrac{d}{dx} e^{2x} = 3\dfrac{d}{dx}( \ln y)\\\\\implies 2e^{2x} = 3 \cdot \dfrac 1y \cdot \dfrac{dy}{dx}\\\\\implies 3\dfrac{dy}{dx} = 2ye^{2x}\\\\\implies \dfrac{dy}{dx} = \dfrac{2y}3 e^{2x}[/tex]

In a recent survey, it was found that 133 out of 631 randomly selected Knott's Berry Farm attendees consider Silver Bullet their favorite ride at Knott's. It was also found that 23 out of 121 randomly selected Knott's Berry Farm employees consider Silver Bullet their favorite ride. Test the hypothesis that the percentage of attendees who consider Silver Bullet their favorite ride is different than the percentage of Knott's Berry Farm employees who consider Silver Bullet their favorite ride. Use the a=.05 level of significance.



The P-value is __________, rounded to the nearest ten-thousandth (4 decimal places).

Answers

Using the z-distribution, it is found that the p-value is of 0.5975.

At the null hypothesis, it is tested if the proportions are equal, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The sample sizes and proportions are given by:

[tex]n_1 = 631, p_1 = \frac{133}{631} = 0.2108[/tex]

[tex]n_2 = 121, p_2 = \frac{23}{121} = 0.1901[/tex]

The standard errors are given by:

[tex]s_1 = \sqrt{\frac{0.2108(0.7892)}{631}} = 0.0162[/tex]

[tex]s_2 = \sqrt{\frac{0.1908(0.8092)}{121}} = 0.0357[/tex]

For the distribution of differences, the estimate and the standard error are:

[tex]\overline{p} = p_1 - p_2 = 0.2108 - 0.1901 = 0.0207[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0162^2 + 0.0357^2} = 0.0392[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Then:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0207 - 0}{0.0392}[/tex]

[tex]z = 0.528[/tex]

Using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, the p-value is of 0.5975.

A similar problem is given at https://brainly.com/question/25869410

Use the drawing tools to form the correct answer on the graph.
What is the inverse of the function shown?
Click on a tool to begin drawing.
Delote
Undo
Reset
Drawing Tools
Select
iz
Point
10
Line Segment
8
6
4
2
x
6
-10
-8
-6
-4
-2
2
6
8
10
2

Answers

Answer:

i need to know this one fast i cant get past this mastery test

Step-by-step explanation:

The inverse of a function is the opposite of the function

From the graph, we have the following ordered pairs

(5,0), (8,3) and (2,-3)

When the (x,y) coordinates are rewritten as (y,x), we have the following ordered pairs

(0,5), (3,8) and (-3,2)

This means that the inverse of the function passes through the above points

See attachment for the graph of the inverse function

Read more about inverse function at:

https://brainly.com/question/9289171

Hemp bell bell help math

Answers

Answer:

This is indeed a function!

Step-by-step explanation:

Solve for x, y, and z

Answers

Step-by-step explanation:

[tex]x = 46.16 \\ y = 23.00 \\ z = 55.7[/tex]

I want a way to solve this question​

Answers

Answer:

Step-by-step explanation:

[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]

∠L=60°

I need help on my homework.

Answers

Answer:

[tex] \frac{3}{4} > \frac{ - 2 + 2x}{4} \\ \\ (4 \times) \frac{3}{4} > \frac{ - 2 + 2x}{4} ( \times 4) \\ \\ 3 > - 2 + 2x \\ \\ 3 + 2 > - 2 + 2 + 2x \\ \\ 5 > 2x \\ \\ 5 \div 2 > 2x \div 2 \\ \\ \frac{5}{2} > x \\ \\ x < \frac{5}{2} [/tex]

I hope I helped you^_^

Find the slope of the line on the graph. Write your answer as a fraction or whole number, but a mixed number or decimal.

Answers

Answer:

-1/4

Step-by-step explanation:

Rise over run

Rises -1 runs 4

slope = -1/4

Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours

Answers

650 miles!!!!!!!!!!!!!!

Answer:

260 miles in 4 hours equals (260 / 4) = 65 miles per hour

In 10 hours she can drive 650 miles

Step-by-step explanation:

A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?

Answers

Answer:

7.6%

Step-by-step explanation:

First the decrease

(100-12)%=88%

then the increase

(88)(1.05)=92.4%

The total decrease

(100-92.4)% = 7.6%

Hope this helps

Manny has a garden that is 12 feet long and 9 feet wide. What is the perimeter of
Manny's garden?
Use the formula for perimeter, P =
2 (1 + w).
432 feet
O 33 feet
O 42 feet
216 feet

Answers

Answer:

42 ft

Step-by-step explanation:

2(L + W ) = P

2 (12 + 9) = P

2 (21) = P

42 = P

P = 42

Solve two eighths times four fifths

Answers

1/5 is the answer if you taking about 2/8 times 4/5

Answer:

8/40 or 1/5

Step-by-step explanation:

2x4=8

8x5=40

That gives us the answer of 8/40 but if you need simplifying just divide 8/40 by 8/8 and you will get the final answer of 1/5

Solve the following equation 2x-17=-53

Answers

Step-by-step explanation:

2x - 17 = - 53

2x = - 53 + 17

2x = - 36

x = - 36/2

x = - 18

Answer:

x = -18

Step-by-step explanation:

2x - 17 =  -53

    +17 = + 17            Add 17 to both sides

2x       =   -36            

  x = -36 ÷ 2           Divide by 2

   x = -18

Latex paint sells for $21 per gallon and will cost you $210 to paint your room. If each gallon will cover 300 square feet, how many square feet of wall space do you have in your room?

square feet

Answers

Answer: 3000 square feet

Step-by-step explanation: 21x10=210 .     300x10=3000

Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed

Answers

Answer:

Step-by-step explanation: This is the answer

1
Renee is comparing prices from Kay's Catering and Weddings 'R' Us to serve the meals for her wedding
dinner. The catering cost, c, for each catering service Renee is considering, based on x meals served, is
shown on the coordinate grid.
Catering Cost for Wedding
2000
1800
1600
Kay's Catering
A
1400
1200
1000
C= 10m + 800
C = 15m + 400
Catering Cost ($)
800
Weddings 'R' US
B
C =
600
5m + 800
am + 800
400
200
C=
10 20 30 40 50 60 70 80 90 100
Number of Meals
с
C= 800m + 10
C = 400m + 15
Which system of equations is best represented by this graph?
D
C = 3m + 1,600
C =
M + 80

Answers

Answer:

5000

Step-by-step explanation:

Angle wxz is congruent to angle zxy. Find the value of X

Answers

Answer:

  x = 18

Step-by-step explanation:

Congruent angles have equal measures.

  74° = (4x +2)°

  72 = 4x . . . . . . divide by °, subtract 2

  18 = x . . . . . . .  divide by 4

2m>30
what is the answer to this

Answers

Answer:

m>15

Step-by-step explanation:

Divide both sides by 2

Hello there! :-)

This is a one-step inequality, which means we can solve it in one step.

The goal is to find m.

To isolate m, we divide both sides by 2:

m>15

Remember to divide both sides by 2.

Therefore, m>15 (this means m is greater than 15)

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who helps others :-)

Good luck with your studies. :)

Learning Task 1: Write the fraction of each shaded figure. Find the sum. Write your answer in your notebook.

Please is anyone can help me​ please

Answers

Learning task 1

1. 3. 3. 1.

4. 2

2. 5. 4. 6.

9. 13

5. 3. 6. 7.

5. 9

Step by step explanation:

hopefully that's help

If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.

Answers

Answer:

27i.

Step-by-step explanation:

a^3b = (-3)^3 * -i

= -27 * -i

= 27i.

Getting trained and licensed as a truck driver involves a one-time cost of $450. Gas and insurance end up costing about $2 per mile. For the first delivery, you will get paid $350 plus $6 per mile that you drive. Write 2 equations and solve this system.​

Answers

The question is an illustration of a system of linear equations.

The system of linear equations is: [tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]The solution to the equation is (25,500)

Let the number of miles be x.

Getting trained and licensed

One time cost: $450Gas and Insurance: $2 per mile

So, the equation is:

[tex]y=450 + 2x[/tex]

Delivery

First delivery: $350Rate: $6 per mile

So, the equation is:

[tex]y = 350 + 6x[/tex]

Hence, the system of linear equations is:

[tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]

To solve the equation, we equate both, as follows:

[tex]450 + 2x = 350 + 6x[/tex]

Collect like terms

[tex]6x - 2x = 450 - 350[/tex]

[tex]4x = 100[/tex]

Divide both sides by 4

[tex]x = 25[/tex]

Substitute 25 for x in [tex]y=450 + 2x[/tex]

[tex]y = 450 + 2 \times 25[/tex]

[tex]y = 450 + 50[/tex]

[tex]y = 500[/tex]

Hence, the solution to the equation is (25,500)

Read more about linear equations at:

https://brainly.com/question/14323743

The graphs below have the same shape. What is the equation of the blue graph?
G(x) =
O A. G(X) = x^2 + 1
O B. G(X) = (x - 1)^2
O C. G(X) = (x + 1)^2
O D. G(x) = x^2-1

Answers

Answer:

c) G(x) = (x + 1)**2

Step-by-step explanation:

A function left shift is x + shift and a right shift is x - shift.

charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later what fraction of the original cake did he wrap

Answers

Answer:

He wrapped 3/4 of the cake.

Step-by-step explanation:

1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4

- Hope this helps!

Which is an advantage of using a credit card?

A. You can make purchases when you don’t have cash

B. You don’t indulge in impulse buying

C. You don’t have to pay interest

Answers

Your answer would be A.
Not B. because it may increase impulse buying.
And not C. because credit cards are built on money you don’t have currently.

Jeremiah buys 6 tacos and 8 enchiladas for 60 dollars. Kennedy buys 3 tacos and 2 enchiladas for 18 dollars.

Answers

Answer:

What's the question lol

if 5a+b=14 then a = what
explain how you got it pls

Answers

Answer:

[tex]a = \frac{14 - b}{5}[/tex]

Step-by-step explanation:

The rule to know and follow is:

You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;

5a + b = 14

If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;

Firstly, we subtract b from both sides:

5a + b - b = 14 - b

5a = 14 - b

Then, divide both sides by 5:

[tex]\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}[/tex]


5cm
10cm
Q
Q2
Q3
Referring to the diagram above.
if Q1 = 9.0 uC, Q2 = -5.0 uC and Q3 = 32.0 uc,
what is the magnitude of the electric field at Q2, due to Q1 and Q3?

Answers

Answer:
I’m pretty sure it 15cm
Step by step

The refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollar and cents?

Answers

Answer:

$31.53

31 dollars 53 cents

Step-by-step explanation:

6% is equal to 0.06.

0.06 * 525.50 = 31.53.

Hope this helps

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