What is the simplified value of the exponential expression 27 1/3 ?

O1/3
O1/9
O3
O9

Step-by-step explanation:

Given: [tex]f'(x) = x^2e^{2x^3}[/tex] and [tex]f(0) = 0[/tex]

We can solve for f(x) by writing

[tex]\displaystyle f(x) = \int f'(x)dx=\int x^2e^{2x^3}dx[/tex]

Let [tex]u = 2x^3[/tex]

[tex]\:\:\:\:du=6x^2dx[/tex]

Then

[tex]\displaystyle f(x) = \int x^2e^{2x^3}dx = \dfrac{1}{6}\int e^u du[/tex]

[tex]\displaystyle \:\:\:\:\:\:\:=\frac{1}{6}e^{2x^3} + k[/tex]

We know that f(0) = 0 so we can find the value for k:

[tex]f(0) = \frac{1}{6}(1) + k \Rightarrow k = -\frac{1}{6}[/tex]

Therefore,

[tex]\displaystyle f(x) = \frac{1}{6} \left(e^{2x^3} - 1 \right)[/tex]

The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

Thus;

z = (0.43 - 0.5)/(√(0.45(1 - 0.45)((1/899) + (1/351))

z = -2.26

From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.

12.8, pythagorean theorem.

Answer:

Volume = 18 cm^3

Surface Area = 58 cm^2

Step-by-step explanation:

Find the volume with the formula V=w*h*l

W= width

H = height

L = length

W= 2cm

H= 1 cm

L= 9 cm

V= w*h*l

V= 2cm * 1 cm * 9cm

V= 18 cm^3

Find the surface area with the formula A= 2(w*l + h*l + h* w)

W= width

H = height

L = length

W= 2cm

H= 1 cm

L= 9 cm

A= 2(w*l + h*l + h* w)

A= 2(2cm*9cm + 1cm*9cm + 1cm* 2cm)

A= 2(29cm)

A= 58cm^2

9514 1404 393

Answer:

  4

Step-by-step explanation:

The function definition tells you its domain is ...

  -6 < x ≤ 4

Values -7, -6, and 5 are not in this domain.

Of the listed values, only 4 is in the domain.

Answer:

12) B --> x < 8/3

13) B --> x ≤ 1/6

Step-by-step explanation:

12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:

x - 10 < 6 - 5x

Add 5x to both sides to combine the x terms:

x - 10 < 6 - 5x

+5x          +5x

6x - 10 < 6

Add 10 to both sides to isolate the x term:

6x - 10 < 6

+10       +10

6x < 16

Now, divide by 6 on both sides:

x < 8/3, this is B

13) Simplify 2 - 4:

2-3(2x + 1) ≤ 6x(-2)

Distribute:

2 - 6x - 3 ≤ -12x

Add 12x to both sides and combine like terms:

6x - 1 ≤ 0

Add 1 to both sides:

6x ≤ 1

Divide by 6:

x ≤ 1/6, this is B

Answer:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane's speed is 1/3 miles / 10 min.

Jack's speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  (c)

Step-by-step explanation:

  [tex]\displaystyle\sqrt[3]{xy^5}\sqrt[3]{x^7y^{17}}=\sqrt[3]{x^{1+7}y^{5+17}}=\sqrt[3]{x^6x^2y^{21}y}=\sqrt[3]{x^6y^{21}}\sqrt[3]{x^2y}\\\\=\boxed{x^2y^7\sqrt[3]{x^2y}}[/tex]

hiiksbsjxbxjsoahwjsissnsks

Answer:

Step-by-step explanation:

correct me if I am wrong

Answer:

[tex](x + y+ 1)^2[/tex]

Step-by-step explanation:

[tex]Using : (a + b)^2 = a^2 + 2ab + b^2\\\\(x+ y)^2 + 2(x +y) + 1 , \ where \ a = (x+y) , \ b = 1 \\\\= (x +y)^2 + ( 2 \times 1 \times (x+y)) + 1^2\\\\= (x +y+ 1)^2[/tex]

Step-by-step explanation:

Using:(a+b) ² =a²+2ab+b²

Hope it is helpful to you

Answer:

(1.218 ; 1.322)

the confidence interval is appropriate

Step-by-step explanation:

The confidence interval :

Mean ± margin of error

Sample mean = 1.27

Sample standard deviation, s = 0.80

Sample size, n = 914

Since we are using tbe sample standard deviation, we use the T table ;

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 914 - 1 = 913

Tcritical(0.05, 913) = 1.96

Margin of Error = 1.96 * 0.80/√914 = 0.05186

Mean ± margin of error

1.27 ± 0.05186

Lower boundary = 1.27 - 0.05186 = 1.218

Upper boundary = 1.27 + 0.05186 = 1.322

(1.218 ; 1.322)

According to the central limit theorem, sample means will approach a normal distribution as the sample size increases. Hence, the confidence interval is valid, the sample size of 914 gave a critical value at 0.05 which is only marginally different from that will obtained using a normal distribution table. Hence, the confidence interval is appropriate

Answer:

A. 40

Step-by-step explanation:

Answer:

A. 40

Step-by-step explanation:

75 ÷ 1.5 = 50 = original number

80% of 50 = 50 × 0.8 = 40

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

[tex]Trees = 24[/tex]

[tex]Yield = 104[/tex]

[tex]x \to additional\ trees[/tex]

So, we have:

[tex]Trees = 24 + x[/tex]

[tex]Yield = 104 - 2x[/tex]

Required

The additional trees to be planted for maximum yield

The function is:

[tex]f(x) = Trees * Yield[/tex]

[tex]f(x) = (24 + x) * (104 - 2x)[/tex]

Open bracket

[tex]f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x[/tex]

[tex]f(x) = 2796 + 104x - 48x - 2x^2[/tex]

[tex]f(x) = 2796 + 56x - 2x^2[/tex]

Rewrite as:

[tex]f(x) = - 2x^2 + 56x + 2796[/tex]

Differentiate

[tex]f'(x) = -4x + 56[/tex]

Equate [tex]f'(x) = -4x + 56[/tex] to 0 and solve for x to get the maximum of x

[tex]-4x + 56 = 0[/tex]

[tex]-4x =- 56[/tex]

Divide by -4

[tex]x =14[/tex]

The farmer should plant 14 additional trees, for maximum yield.

Answer:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

the domain of given f is (-2,4)

Answer:

9.48

Step-by-step explanation:

Step-by-step explanation:

0 is the ans my guy

dngjdjvkdkckgkdkgkskfkfkv

Answer:

16?

Step-by-step explanation:

I'm not sure. I hope so.

Answer:

-6

Step-by-step explanation:

V = 6x + b

 1/2 V -3 x = -3

V - 6x = -6

V - 6x  =  b

Let f(x) be the sum of the geometric series,

[tex]f(x)=\displaystyle\frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

for |x| < 1. Then taking the derivative gives the desired sum,

[tex]f'(x)=\displaystyle\boxed{\dfrac1{(1-x)^2}} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=1}^\infty nx^{n-1}[/tex]

Answer: y= -3/7x + 3

Step-by-step explanation:

I used some graph paper for this, mark the two points and use a ruler to connect the lines. y=-3/7x is slope, and 3 is the y intercept.

Answer:

3x + 7y -2=0

Step-by-step explanation:

Two points are given to us and we need to find the Equation of the line passing through the two points . The points are (0,3) and (7,0) . We can use here two point form of the line as ,

[tex]\implies y-y_1 = \dfrac{y_2-y_1 }{x_2-x_1} ( x - x_1) \\\\\implies y - 3 =\dfrac{3-0}{0-7}(x - 0 ) \\\\\implies y - 3 =\dfrac{-3}{7}x \\\\\implies 7y - 2 = -3x \\\\\implies \underline{\underline{3x + 7y -2 = 0 }}[/tex]

Answer:

[tex]K = L[/tex]

Step-by-step explanation:

Given

Circle A

[tex]r = b[/tex] --- radius

[tex]p = c[/tex] ---- perimeter

Circle B

[tex]r = y[/tex] --- radius

[tex]p =z[/tex] --- perimeter

[tex]K = \frac{c}{b}[/tex]

[tex]L = \frac{z}{y}[/tex]

Required

Select the true option

The perimeter of a circle is:

[tex]Perimeter = 2\pi r[/tex] ------ the circumference

So, we have:

[tex]c = 2\pi b[/tex] --- circle A

[tex]z = 2\pi y[/tex] --- circle B

Calculate K

[tex]K = \frac{c}{b}[/tex]

[tex]K = \frac{2\pi b}{b}[/tex]

[tex]K = 2\pi[/tex]

Calculate L

[tex]L = \frac{z}{y}[/tex]

[tex]L = \frac{2\pi y}{y}[/tex]

[tex]L = 2\pi[/tex]

So, we have:

[tex]K = L = 2\pi[/tex]

Answer:

5 + c > -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Sum of 5 and c is greater than -22

↓ Identify

Sum = addition

Is greater than = inequality

Add them all together:

5 + c > -22

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

Answer: 3x - 2

Step-by-step explanation:

First to solve this, we need to know some basic information such as:

1. (-) × (-) = +

2. (+) × (-) = -

3. (+) × (+) = +

Therefore, 6x-(3x+2)​

= 6x - 3x - 2

= 3x - 2

The answer to the question after removing the bracket will be 3x - 2.

Answer:

D: {-20, -13, 1, 6}

R: {-20, -8, 11, 13}

Step-by-step explanation:

Given the relation, {(–20, 11), (6, –8), (1, –20), (–13, 13)}, all x-values (inputs) make up the domain of the relation while all y-values make up the range of the relation.

Therefore:

Domain: {-20, -13, 1, 6}

Range: {-20, -8, 11, 13}

Answer:

The insurance company should charge $1,873.5.

Step-by-step explanation:

Expected earnings:

1 - 0.99813 = 0.00187 probability of the company losing $1 million(if the client dies).

0.99813 probability of the company earning x(price of the insurance).

What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy?

Break even means that the earnings are 0, so:

[tex]0.99813x - 0.00187(1000000) = 0[/tex]

[tex]0.99813x = 0.00187(1000000)[/tex]

[tex]x = \frac{0.00187(1000000)}{0.99813}[/tex]

[tex]x = 1873.5[/tex]

The insurance company should charge $1,873.5.