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3 years ago

Factor completely. 25w² + 60w + 36 Express the answer in the form (aw+b) 2 .

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

<span>25w² + 60w + 36
= (5w + 6)^2

hope it helps</span>

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Translate the statements into a confidence interval for p. Approximate the level of confidence. In a survey of 8451 U.S. adults,

Sedaia [141]

Answer:

The confidence interval is $0.304 < p < 0.324$

Step-by-step explanation:

From the question we are told

The sample proportion $\r p = 0.314$

The margin of error is $E = 0.01$

The confidence interval for p is mathematically represented as

$\r p - E < p < \r p + E$

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3 years ago

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3 years ago

Keegan deposits into her savings account at the beginning of the year. The account earns 3% simple interest each year. She has $

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Answer:

She deposits $350 into the account at the beginning of the year.

Step-by-step explanation:

Let us assume that Keegan deposits $P into her savings account at the beginning of the year.

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If Keegan did not make any additional deposits or withdrawals during the year.

So, we can write that $P[1+\frac{3}{100} ]= 360.50$

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3 years ago

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3 years ago

Read 2 more answers

What is the area of the rectangle?

den301095 [7]

Answer:

$50\ units^{2}$

Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle

then

$AB=CD \\AD=BC$

The area of the rectangle is equal to

$A=B*h$

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AD

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-5,5)\\B(0,-5)$

substitute the values

$d=\sqrt{(-5-5)^{2}+(0+5)^{2}}\\d=\sqrt{(-10)^{2}+(5)^{2}}\\dAB=\sqrt{125}\ units$

Step 2

Find the distance AD

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-5,5)\\D(-1,7)$

substitute the values

$d=\sqrt{(7-5)^{2}+(-1+5)^{2}}\\d=\sqrt{(2)^{2}+(4)^{2}}\\dAD=\sqrt{20}\ units$

Step 3

Find the area of the rectangle

$A=AB*AD$

we have

$dAB=\sqrt{125}\ units\\dAD=\sqrt{20}\ units$

substitute

$A=\sqrt{125}*\sqrt{20}\\A=\sqrt{2,500}\\A=50\ units^{2}$

7 0

4 years ago