Banu will build a fence around a rectangular
30-foot-by-25-foot play area. Given that fencing costs
$4.05 per foot, how much will the fencing cost for
Banu to completely surround the play area?

Answer:

[tex]f(a) = 4a - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - 1[/tex]

Solving (a): f(a)

Substitute a for x

[tex]f(a) = 4a - 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x

[tex]f(a+h) = 4(a+h) - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

Solving (c):f(a + h) - f(a)h

[tex]f(a + h) - f(a)h= f(a + h) - f(a) * h[/tex]

Substitute values for f(a + h) and f(a)

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h[/tex]

Open bracket

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h[/tex]

Collect like terms

[tex]f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

Answer:

2.7084

Step-by-step expla

Answer:

40 feet by 4 feet

Step-by-step explanation:

Given length (l) = 100 feet

width (w) = 10 feet

As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.

So,

New length = 100 * 2/5 = 40 feet

New width = 10 * 2/5 = 4 feet

Therefore, the scale of new drawing would be 40 feet by 4 feet.

Answer:

80.

Step-by-step explanation:

I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.

Answer:

b.

You have more debits than credits.

Step-by-step explanation

Being in the red means that you are in debt so im 90% sure its B

If you get this wrong then i am very sorry.This is my input :)

Answer:

B

Step-by-step explanation:

In accounting, if the debit balance is more than the credit balance on income statement, there is a loss.

If the credit balance is more than the debit balance on income statement, there is a profit.

Option C and D are both not correct because this does not relate to whether a Financial record is accurate or not.

Answer:

A

Step-by-step explanation:

You have two inequalities:

2x-8<2 = 2x<10 = x<5

-2x+8<2= -2x<-6 = x>3

Combine the two to get 3<x<5

Hope this helps!

Answer and Step-by-step explanation:

The answer would be A, in which x can be any value between 3 and 5, exclusive, or not including.

This is because in this situation, if you put any number greater than or equal to 5, or any number less than or equal to 3 it would be greater than 2 due to the absolute thing (noted as |  |  )

So, any number thats between 3 and 5 will work, as it will be less than 2.

#teamtrees #POG (Plant Our Garden)

9514 1404 393

Answer:

  4. b =-√(3)/3

  5. 1/2

Step-by-step explanation:

4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...

  tan(150°) = -(√3)/3

__

5. The cotangent is the inverse of the tangent, and vice versa.

  tan = 1/cot

  tan(θ) = 1/2

Answer:

The answer is 17300./ Hope this helps

Answer:

21.3 m

Step-by-step explanation:

Answer:

2,13/16

Step-by-step explanation: you can put it in the calculator and the answer given would be 2 13/16 hope it helps!

Answer:

2 13/16 or 45/16

Answer:

(8,5)

Step-by-step explanation:

Your X coordinate would determine how far right or left something would be on a plot. The more left, the lower the number, and the more right, the higher the number. Y coordinate controls the height. Therefore, the coordinates with the highest X value would be the answer.

6999999 huhuijuu harder daddy

Answer:

I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more

Answer:

Hope that answers your question, you're welcome

[tex] \longmapsto \: perimeter \: of \: rectangle = 2(l + b) \\ \\ \longmapsto2(5 + b) = 18 \\ \\ \longmapsto \: 5+ b = 9\\ \\ \longmapsto \: b = 4cm[/tex]

Answer:

4x+8

Step-by-step explanation:

4*x = 4x

4*2 = 8

4x+8

The equivalent expression using the distributive property is 4x + 8.

To use the distributive property to write an equivalent expression for 4(x + 2), we need to multiply each term inside the parentheses by the factor outside.

Using the distributive property, we multiply 4 by both x and 2:

4(x + 2) = 4 * x + 4 * 2

Simplifying further:

4(x + 2) = 4x + 8

Therefore, the equivalent expression using the distributive property is 4x + 8.

Learn more about equivalent expression at https://brainly.com/question/15775046

#SPJ2

Answer:3,000

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

300    x

10     100

300x100

30,000

30,000/10

3000

Answer:

m<3 = 58

Step-by-step explanation:

lllllllllllllllll

Answer:

The highest point is at (5, 0)

Another point on this graph is (6, -1)

The graph and explanation are below.

Answer:

See below

Step-by-step explanation:

Area of parallelogram = base * height

Answer:

A= b×h

Step-by-step explanation:

b= base

h= height

hope it helped

Answer:

The answers will placed according to the order that they were given

6.93

15.75

17.64

6.93

Step-by-step explanation:

Answer:

-4x^9

Step-by-step explanation:

Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.

Answer:

5

Step-by-step explanation:

To find the distance between two points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:

[tex]d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5[/tex]

Thus, the distance is 5 units.

Incorrect

60 × 3

Correct

12 + 5 + 3

Incorrect

3 × 5 × 12

Correct

12 × 5

Correct

(12 × 5) + 3

Answer:

x=-3

Step-by-step explanation:

How?

so the easiest and quickest way to answer these type of questions are to do the opposite.

so -11+8=-3

if you get a question like

3x+2=17

17-2=15

15 divided by 3=5

so x=5

hope that helps

thank you

Answer:

8.154 - 0.05

751 602 - 50 000

1 567 324 896 - 500 000 000

Given:

The equation is

[tex]\log_3625=x[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\log_3625=x[/tex]

It can be written as

[tex]\log_3(5)^4=x[/tex]

[tex]4\log_3(5)=x[/tex]              [tex][\because \log x^n=n\log x][/tex]

[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex]               [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]

[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]

[tex]x\approx 5.8599[/tex]

Therefore, the value of x is about 5.8599.