All categories

2 years ago

81p² + 5 = 41 how do I solve by square roots

Mathematics

1 answer:

ycow [4]2 years ago

3 0

Answer:

p = ± $\frac{2}{3}$

Step-by-step explanation:

Given

81p² + 5 = 41 ( subtract 5 from both sides )

81p² = 36 ( divide both sides by 81 )

p² = $\frac{36}{81}$ ( take the square root of both sides )

p = ± $\sqrt{\frac{36}{81} }$

= ± $\frac{\sqrt{36} }{\sqrt{81} }$ = ± $\frac{6}{9}$ = ± $\frac{2}{3}$

You might be interested in

Write 6.3 x 10^4 in standard notation.

icang [17]

The power of 4 means to move the decimal 4 places to the right. 6.3 x 10^4
63000

6 0

3 years ago

Read 2 more answers

danni is working a sample booth at the national soda and beverage convention. she is paid $1.50 for each of the first ten tastin

Nostrana [21]

I think the answer is $129

7 0

3 years ago

Read 2 more answers

PLEASE HELP! I will award brainliest to the most helpful answer. I need an in depth explanation, not just the answer. How do you

Svetradugi [14.3K]

Answer:

y ≤ -4x+25

Step-by-step explanation:

First we need to figure out the equation for the line

The y intercept is 25

Next figure out the slope

slope = (y2-y1)/((x2-x1)

= (49-25)/(-6-0)

= 24/-6

= -4

The equation for a line in slope intercept form is y = mx+b

y = -4x+25

This is a solid line so our inequality will have an equals in it.

It is shaded below, so y is less than.

If it was shaded above, y would be greater than

y ≤ -4x+25

8 0

3 years ago

8 more than 5 times a number is -27 write a function

xxMikexx [17]

5x+8=-27

8 more means addition. -27 would be total. 5 times the number ( in this case x) would mean multiplication.

3 0

2 years ago

The function f(x) = 300(0.5)x/100 models the amount in pounds of a particular radioactive material stored in a concrete vault, w

allsm [11]

The amount of the radioactive material in the vault after 140 years is 210 pounds

<h3>How to determine the amount</h3>

We have that the function is given as a model;

f(x) = 300(0.5)x/100

Where

x = number of years of the vault = 140 years
f(x) is the amount in pounds

Let's substitute the value of 'x' in the model

f(x) = 300(0.5)x/100

$f(x) = \frac{300(0.5) * 140}{100}$

$f(x) =\frac{21000}{100}$

f(140) = 210 pounds

This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.

Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds

Learn more amount radioactive decay here:

brainly.com/question/11117468

#SPJ1

5 0

1 year ago

81p² + 5 = 41 how do I solve by square roots​

81p² + 5 = 41 how do I solve by square roots