pls help immediately!!!!

Answer:

C. (6 × 5) × 2 = 60 m³

D. 5 × (6 × 2)

E. (2 × 5) × 6

Step-by-step explanation:

Volume of a rectangular prism can be given as, V = L*W*H

L = 6

W = 5

H = 2

However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.

Thus:

✔️V = (6 × 5) × 2 = 60 m³

✔️V = 5 × (6 × 2) = 60 m³

✔️V = (2 × 5) × 6 = 60 m³

These are the three expressions that can be used to find the volume.

The building will be making 90° with the ground/horizontal.

Then we can apply Pythagoras theorem.

(Base)² + (Height)² = (Hypotenuse)²

=> x² + (12 foot)² = (37 foot)²

=> x² = (37 foot)² - (12 foot)²

We can expand LHS using a² - b² = (a + b)(a - b)

=> x² = (37 + 12 foot)(37 - 12 foot)

=> x² = 49 * 25 foot²

=> x² = (7 * 5)² foot²

=> x = 7 * 5 foot

=> x = 35 foot.

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

Answer:

1. 60, 122 feet

2. a + s = 12

6a + 4s = 59

Step-by-step explanation:

I can't do all of them but I'll do the first 2:

1.

let w be the width of the rectangle

Then the length would be 2w + 2

Using those, the perimeter would be:

2w + 2 + 2w +2 + w + w = 364

solving:

[tex]6w + 4 = 364\\6w = 360\\w = 60[/tex]

This means the length would be:

[tex]2(60)+2\\120 + 2\\122[/tex]

2.

let a be the number of adult tickets

let s be the number of student tickets

Then:

The total number of tickets is 12, so:

a + s = 12

And the total cost is 59, so:

6a + 4s = 59

Answer:

9

Step-by-step explanation:

18 x 1/2

18/2

9

Answer: 9

Step-by-step explanation:

Parenthesis first, so 8+10 =18 .

18 multiplied by 1/2 = 9

Answer:

1

Step-by-step explanation:

Answer: 2,400 words

Step-by-step explanation:

Answer:

8/12 or 2/3

Step-by-step explanation:

5/12+3/12=8/12

8/12 simplifies to 2/3

Answer:

a=81.0

there ya go

Answer:

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

Answer:

The probability that tails and an even number do not occur together is 3/4.

Step-by-step explanation:

There are three outcomes in which tails occurs with an even number (2, tails), (4, tails), (6, tails). The probability of this event is 3/12 = 1/4 . The probability that tails and an even number do not occur together is 1 - 1/4 = 3/4.

Answer:

Sample answer for Edmentum

Step-by-step explanation:

Answer:

b = 22

Step-by-step explanation:

3b-16=50

3b = 66

b = 22

Answer:

b = 22

Step-by-step explanation:

The first step to solve this is to get rid of -16. You can do this by adding 16 to both sides (since addition is the opposite of subtraction). You'll get 3b=66.

After you get rid of the -16, you want to isolate the variable. Because there is a coefficient/number in front of the variable, you want to divide in order to get rid of it. In order to do that, you divide both sides by 3.

3b/3 = b and 66/3 = 22

After that, you will get b = 22.

You can even check this by plugging 22 as b.

3 x 22 = 66

and 66 - 16 = 50

Answer:

0.266 percent

Step-by-step explanation:

With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.

Level of production = ∆Q/Q

We differentiate the function Q with respect to Labour, L.

∆Q/∆L = 0.266Q/L

∆Q/Q = 0.266∆L/L

∆L/L = 1

∆Q/Q x 100 = 1 *0.266

= 0.266%

Please refer to the attachment

Answer:

-33

Step-by-step explanation:

27-(-3)=30

-3-30=-33

Answer: Hello the statement related to your question is missing attached below is the statement

answer : The statement is false

Step-by-step explanation:

The statement is false

This is because a confidence interval gives a range of values for an unknown parameter.

A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.

Answer:

54000

Step-by-step explanation:

53,738

3 is in the thousands place so we look at the hundreds place

7 is 5 or above so we round the 3 up to 4

54000

Answer:

A) The null hypothesis is H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis is Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

B) The critical value is 4.604

C) The pooled variance is 11,870.2777

D) The standard error is-0.2321

E) The obtained is -0.2040  

Step-by-step explanation:

The given values are;

[tex]\overline x_1[/tex] = 23.76, [tex]\overline x_2[/tex] = 34.54

s₁ = 123.43, s₂ = 105.65

n₁ = 5, n₂ = 20

A) The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

B) The degrees of freedom, df = 4 - 1 = 3

The critical t-value is given at α = 0.01 is given on the t-table for two tailed test as t = 4.604

C) The pooled variance is given by the following formula;

[tex]S_P^2 = \dfrac{(n_1 - 1) \cdot s_1^2 + (n_2-1) \cdot s_2^2}{n_1 + n_2 - 2 }[/tex]

Plugging in the values gives;

[tex]S_P^2 = \dfrac{(5 - 1) \cdot 123.43^2 + (20-1) \cdot 105.65^2}{5+ 20 - 2 } = 11,870.2777[/tex]

The pooled variance, [tex]s_p^2[/tex] = 11,870.2777

D) The standard error, SE, is given as follows;

[tex]t=\dfrac{(\bar x_{1}-\bar x_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we get;

[tex]t=\dfrac{(23.76-35.34)}{\sqrt{\dfrac{123.43^{2} }{5}-\dfrac{105.65^{2}}{20}}} = -0.2321[/tex]

The standard error, SE ≈ -0.2321

E) The obtained 't' is given as follows;

[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{s_1^2}{n_1-1} +\dfrac{s_2^2}{n_2-1} }[/tex]

Therefore, we have;

[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{123.43^2}{5-1} +\dfrac{105.65^2}{20-1} } \approx 56.7564[/tex]

The obtained t is given as follows;

[tex]t(Obtained)=\dfrac{(\bar x_{1}-\bar x_{2})}{\sigma _{\overline x_1 - \overline x_2} }[/tex]

Therefore, we get;

[tex]t(Obtained)=\dfrac{(23.76-34.54)}{56.7564} \approx -0.2040[/tex]

The obtained t = -0.2040

Step-by-step explanation:

hope u get it...

mark brainlist!!!

Answer: -0.67, 0.22, -0.074

Step-by-step explanation:

This is a geometric sequence because it has a common ratio. The common ratio is divide by -3.

18 / -6 = -3

-6 / 2 = -3

Therefore, we'd continue that ratio.

2 / -3 = -0.67

-0.67 / -3 = 0.22

0.22 / -3 = -0.074

It may ask you to write that in fraction form^^

In that case, 2/-3, then 2/-3 / -3, etc etc. :)

Divide by -3

______________

Hope this helps :)

-Lexi

Answer:

The integral of the volume is:

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

The result is: [tex]V = 78.97731[/tex]

Step-by-step explanation:

Given

Curve: [tex]x^2 + 4y^2 = 4[/tex]

About line [tex]x = 2[/tex] --- Missing information

Required

Set up an integral for the volume

[tex]x^2 + 4y^2 = 4[/tex]

Make x^2 the subject

[tex]x^2 = 4 - 4y^2[/tex]

Square both sides

[tex]x = \sqrt{(4 - 4y^2)[/tex]

Factor out 4

[tex]x = \sqrt{4(1 - y^2)[/tex]

Split

[tex]x = \sqrt{4} * \sqrt{(1 - y^2)[/tex]

[tex]x = \±2 * \sqrt{(1 - y^2)[/tex]

[tex]x = \±2 \sqrt{(1 - y^2)[/tex]

Split

[tex]x_1 = -2 \sqrt{(1 - y^2)}\ and\ x_2 = 2 \sqrt{(1 - y^2)}[/tex]

Rotate about x = 2 implies that:

[tex]r = 2 - x[/tex]

So:

[tex]r_1 = 2 - (-2 \sqrt{(1 - y^2)})[/tex]

[tex]r_1 = 2 +2 \sqrt{(1 - y^2)}[/tex]

[tex]r_2 = 2 - 2 \sqrt{(1 - y^2)}[/tex]

Using washer method along the y-axis i.e. integral from 0 to 1.

We have:

[tex]V = 2\pi\int\limits^1_0 {(r_1^2 - r_2^2)} \, dy[/tex]

Substitute values for r1 and r2

[tex]V = 2\pi\int\limits^1_0 {(( 2 +2 \sqrt{(1 - y^2)})^2 - ( 2 -2 \sqrt{(1 - y^2)})^2)} \, dy[/tex]

Evaluate the squares

[tex]V = 2\pi\int\limits^1_0 {(4 +8 \sqrt{(1 - y^2)} + 4(1 - y^2)) - (4 -8 \sqrt{(1 - y^2)} + 4(1 - y^2))} \, dy[/tex]

Remove brackets and collect like terms

[tex]V = 2\pi\int\limits^1_0 {4 - 4 + 8\sqrt{(1 - y^2)} +8 \sqrt{(1 - y^2)}+ 4(1 - y^2) - 4(1 - y^2)} \, dy[/tex]

[tex]V = 2\pi\int\limits^1_0 { 16\sqrt{(1 - y^2)} \, dy[/tex]

Rewrite as:

[tex]V = 16* 2\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

Using the calculator:

[tex]\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy = \frac{\pi}{4}[/tex]

So:

[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]

[tex]V = 32\pi * \frac{\pi}{4}[/tex]

[tex]V =\frac{32\pi^2}{4}[/tex]

[tex]V =8\pi^2[/tex]

Take:

[tex]\pi = 3.142[/tex]

[tex]V = 8* 3.142^2[/tex]

[tex]V = 78.97731[/tex] --- approximated

30.) d=26

Take the equation

2 x (7 + d)

Now plugin 6 for d

2 x (7 + 6)

2 x (13)

26

31.) c

Take the equation

16b+8/2

Now plugin 4 for b

16(4)+8/2

64+8/2

64+4

68

Answer:

78

Step-by-step explanation:

this the first valuvate but It

Answer:

x = 2

Step-by-step explanation:

AB/BC = AD/DE

[tex]\frac{2}{1}[/tex] = [tex]\frac{2+x}{2}[/tex]

cross-multiply:

2+x = 4

x = 2

Answer:

48 ksjsnsjsnwwisns sisnwbsisbd

Answer: G would be your answer, or c = 8k + 24

Step-by-step explanation:

Answer:

it is G) c=8k + 24

Step-by-step explanation:

brainliest pls

Answer:

Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.

Step-by-step explanation:

to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503