All categories

4 years ago

ANSWER QUICK PLEASE I HAVE A FEW MINUTES LEFT

Mathematics

2 answers:

s2008m [1.1K]4 years ago

6 0

Answer:

252 J

Step-by-step explanation:

The potential energy of the rock is the product of its height and its weight:

PE = (mg)h = (12 N)(21 m) = 252 N·m = 252 J

The rock's potential energy is 252 joules.

Oksi-84 [34.3K]4 years ago

4 0

Answer:

yes

Step-by-step explanation:

You might be interested in

Hep me simplify this, please!!

Elis [28]

Divide the exponent inside the "√" by the exponent outside:
12/4=3, 16/4=4
so the answer is x³y^4
B is the answer.

6 0

4 years ago

1. Find the altitude (height) of a parallelogram of area 352.5m2 and base 15m.

gregori [183]

Answer:

23.5 m

Step-by-step explanation:

<u>Area formula for parallelogram:</u>

A = bh

<u>Given</u>

b = 15 m, A = 352.5 m²
h = ?

<u>As per the area formula:</u>

h = A/b
h = 352.5/15 = 23.5 m

3 0

3 years ago

Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they canno

tensa zangetsu [6.8K]

<h2>Answer with explanation:</h2>

As per given , we have

$\hat{p}=0.48$ , n=331

Critical value for 90% Confidence interval : $z_{\alpha/2}=1.645$

a) Confidence interval :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.48\pm (1.645)\sqrt{\dfrac{0.48(1-0.48)}{331}}\\\\\approx 0.48\pm0.02746\\\\=(0.48-0.02746,\ 0.48+0.02746)\\\\=(0.45254,\ 0.50746)$

Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : $(0.45254,\ 0.50746)$

b) Margin of error : E=1.5%=0.015

Formula for sample size : $n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

For p =0.48 , we have

$n=0.48(1-0.48)(\dfrac{1.645}{0.015})^2=3001.88373333\approx3002$

Hence, the required sample size to survey = 3002

6 0

3 years ago

justin wants to use 376 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should h

Crank

The answer would be D

6 0

3 years ago

Read 2 more answers

(x-5)(x+6) / (x-3) less than or equal to 0

Maru [420]

Answer:

$\sqrt 27$

Step-by-step explanation:

(x-5)(x+6) / (x-3) less than or equal to 0

multiply both sides by x-3

(x-5)(x+6) less than or equal to (x-3)

Foil

x^2 + 6x -5x -30 less than or equal to x-3

simplify

x^2 + x -30 less than or equal to x-3

Add 30 to both sides and subtract x from oth sides

x^2 less than or equal 27

take a square root of both sides

x less than or equal to $\sqrt 27$

5 0

3 years ago