Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below. Including the doors, what is the lateral surface area of the party hall in square feet?

2500 in standard form is 2.5 × 10³

Answer:

2.5*10^3

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Each interior angle in a polygon is (n-2)×180 ÷n

(12-2)×180/12

[tex]10 \times 180 \div 12 \\ 10 \times 15 \\ 150| [/tex]

Answer:

h = 7/3 and 2

Step-by-step explanation:

9h² - 18h - 21h + 42

9h² - 39h + 42

factors are:

(3h - 7)(3h - 6)

h = 7/3 and 2

Answer:

The lateral surface area is: 1860 square feet

Step-by-step explanation:

Given

The missing dimension are:

See attachment for storage

[tex]L = 20[/tex] --- Length

[tex]W = 42[/tex] --- Width

[tex]H = 15[/tex] --- Height

Required

The lateral surface area

The lateral area is calculated as:

[tex]Area = 2 * H * (L + W)[/tex]

So, we have:

[tex]Area = 2 * 15 * (20 + 42)[/tex]

[tex]Area = 30 * (20 + 42)[/tex]

[tex]Area = 30 * 62[/tex]

[tex]Area = 1860[/tex]

Answer:

$345.60

Step-by-step explanation:

From the above question,

P = Principal = $200

R = Interest rate = 20%

T = Time in years = 3 years

n = Number of times interest is compounded = Annually = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 20/100

r = 0.2 rate per year,

Then solve the equation for A

The formula =

A = P(1 + r/n)^nt

A = 200.00(1 + 0.2/1)^(1×3)

A = 200.00(1 + 0.2)^(3)

A = $345.60

Therefore, the total amount that Molly will have in her account at the end of 3 years is $345.60

Answer:

Slope: [tex]-\frac{2}{5}[/tex]

Y-intercept: 2

Step-by-step explanation:

We have to isolate y;

2x + 5y = 10

5y = -2x + 10

y = [tex]\frac{-2x + 10}{5}[/tex]

y = [tex]-\frac{2}{5} x + 2[/tex]

Hope this helps!

Answer:

sales tax is $3.2 ans total is $43.2

Step-by-step explanation:

Answer:

yes, by SAS

Step-by-step explanation:

cause the GI and JL are congruent and the same for HG and LK

Answer:

15

Step-by-step explanation:

Given that the profit equation from selling x necklaces is

P = −x2 + 35x.

To make a profit of $300, the profit P = 300 then

300 = -x2 + 35x

x2 - 35x + 300 = 0

solve by factorization

x2 - 15x - 20x + 300 = 0

x(x - 15) - 20(x - 15) = 0

(x - 15)(x - 20) = 0

x - 15 = 0  or x - 20 = 0

x = 15 or 20

Since 20 is higher, the least number of her necklaces she must sell to make a profit of $300.00 is 15

Answer:

the answer is 4.75

Step-by-step explanation:

5-0.25=4.75

Answer:

[tex]f(6) = \frac{6 {}^{2} - 2.6 - 8}{6 {}^{2} - 14.6 + 45} = \frac{16}{ - 3} = \frac{ - 16}{3} [/tex]

Answer:

50 miles because yahhh

Step-by-step explanation:

300 ➗ 6

Answer: A Bank Statement

Step-by-step explanation:

used to own bank account

Answer:

=> (62/3)m

Step-by-step explanation:

=> (62/3)²

=> (62)²/(3)²

=> 3844/9 m²

Answer:

427.11111

Step-by-step explanation:

This is the answer

Answer:

B and E

Step-by-step explanation:

edge 2021

Answer:

b e

Step-by-step explanation:

Answer:

a) one solution(x = 9)

b) no solution

c) infinite solutions

Step-by-step explanation:

a) To solve this equation, we can add 4 on both sides in order to isolate x:

x - 4 =5

+ 4     + 4

x = 9

Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.

b) We start by subtracting 2x from both sides to combine the variable terms:

2x - 6 = 2x + 5

-2x         -2x

-6 = 5

The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.

c) We can start by subtracting 3x from both sides to combine the terms with x:

3x + 12 = 3x + 12

-3x          -3x

12 = 12

The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.

miles per hour, blinks per second, calories per serving, steps per day and heart beats per minute.

Answer:

99 cm²

Step-by-step explanation:

1/2 BH

1/2 18 x 11

9 x 11

99

   Answer:

The total weight = 1286 × 62.4 = 80246 pounds.

Step-by-step explanation:

The formula of the volume of the sphere is

V = 4/3×π×r³

Given

d = 17 feet

d = 2r

r = d/2 = 17/2 = 8.5 feet

V = 4/3×π×r³

Since we need half of the volume as it is a hemispherical tank.

= 1286 ft³

Given that the weighs 62.4 pounds per cubic foot

Thus,  the total weight = 1286 × 62.4 = 80246 pounds.            

Answer:

n^2

Step-by-step explanation:

cancel the common factor between n^7 and n^2

Answer:

8th term = 8748 , Sum of 5 terms = 484

Step-by-step explanation:

Formula for nth term in an exponential sequence = a r^ (n-1)

Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108

So,  a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108

a 3^3 = 108 →  27 a = 108 → a = 108 / 27 → a = 4

8th term = a r^ (n-1) , at  n = 8.  So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748

Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]

= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484

Answer:

x = - 10

Step-by-step explanation:

Given

- [tex]\frac{4}{5}[/tex] x = 8 ( multiply both sides by 5 to clear the fraction )

- 4x = 40 ( divide both sides by - 4 )

x = - 10

Answer:

x= -1/10

Hope this helps

Answer:

1+sin²Θ

Step-by-step explanation:

sin[tex]\alpha[/tex](cosec[tex]\alpha[/tex]-sin[tex]\alpha[/tex])

=sin[tex]\alpha[/tex]( [tex]\frac{1}{sin \alpha }+sin\alpha[/tex])

[tex]=sin\alpha (\frac{1+sin^{2} \alpha }{sin\alpha } )\\1+sin^{2} \alpha[/tex]

Answer:

t test for the slope of regression line

Step-by-step explanation:

Suppose a random sample is drawn from the bivariate normal population and the estimated regression equation is found Y^= a +bX , where, b , the sample estimate of β1 is normally distributed with mean β and standard deviation

σyx / √∑(x-x`)².

The test statistic has  t distribution where

t= b-β/sb

where sb=  Syx / √∑(x-x`)² with υ= n-2 degrees of freedom.

It is important to note that the testing of hypothesis that β= 0 is equivalent to testing the hypothesis that variable Y is independent of the variable X in the linear sense.

The test statistic then becomes  t= b/ sb .

If we reject H0 : β= 0 we conclude that the two variables are linearly independent.

Answer:

1/64

Step-by-step explanation:

Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.

In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078,  less than 0.100 but not the first number.

The correct value for n is 9 that will give us 2-4=1/16

253.508 is 0.01 more than 253.498.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Let the number be x

so,

x=253.498+0.01

x= 253.508

Learn more about concept here:

brainly.com/question/14491091

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Answer:b

Step-by-step explanation:

iys b i promise