Solve the exponential equation: 4x – 2 = 1∕4
Question 9 options:

A)

x = 1

B)

x = –1

C)

x = –2

D)

x = 2

Answer:

5

Step-by-step explanation:

Subtract 7-2=5.

Answer:

x=103.9536≈104 feet

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

The answer is 51 because since it is a 90 degree angle,you have to subtract 24+7 from 90 and that's your answer.

Answer:

Explanation below:

Step-by-step explanation:

To solve this problem you have to look at the three measurements (base x length x height), which are 7in, 3in, and 5in. For the top of the rectangular prism, the surface area is 21in (7in x 3in) and since the bottom is the same, the bottom is also 21in. Now that you have the top and bottom, let's look at the sides. The surface area for the long-sides is 35in (7in x 5in) and since both sides are the same, they are both 35. The surface area for the ends of the rectangular prism is 15in (5in x 3in) and since they are both the same, they are both 15in. Now that you have figured out what measurement goes with what, add all them up. (21in +21in) = 42in | (35in +35in) = 70in | (15in + 15in) = 30in

                                             42in + (70in + 30in)

                                                   42in + 100in

                    The surface area for the entire shape is 142 inches.

Answer:

Step-by-step explanation:

-8/32 = -1/4

The equation is : y = -1/4 x

Now they say, x = 28 so substitute x as 28 and solve

for when y = -5, substitute -5 as y and solve

Do this for all

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

[tex]A_{circle} = \pi r^2[/tex]

[tex] \pi r^2 = 46 [/tex]

[tex] r^2 = \dfrac{46}{\pi} [/tex]

[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]

[tex] r = 3.83 ~in.[/tex]

surface area of sphere

[tex] SA = 4 \pi r^2 [/tex]

[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]

[tex] SA = 184~in.^2 [/tex]

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given value:

[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]

For point a:

Moment generating function of X=?

Using formula:

[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]

[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]

integrating the values by parts:

[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]  

        [tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]

Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]

In point b:

[tex]E(X^n)=?[/tex]

Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]

form point (a):

[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]

Differentiating the value with respect of t

[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]

when [tex]t=0[/tex]

[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]

[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]

Answer:

[tex] \sqrt{29} [/tex]

Answer:

1/2 + -5d

Step-by-step explanation:

Answer:

the answer to the problem is 20.8%

Answer:

a

Step-by-step explanation:

the answer is a

Answer:

8

Step-by-step explanation:

So first do 104+76+104=284

Now form the equation 10x-4+284=360

It is 360 because this is a quadrilateral.

Now combine like terms.

10x+280=360

10x=80

x=8

Check 80-4=76

The other angle is 76 so you know your answer is correct

Answer:

$7194

Step-by-step explanation:

Given the following

Principal = $6600

Time = 9months = 9/12 year

Rate R = 12%

Interest = PRT/100

Interest = 6600*9/12 * 12/100

Interest = 66*9

Interest = $594

Amount on the borrowers check  = principal + interest

Amount on the borrowers check = 6600 + 594

Amount on the borrowers check = $7194

Answer:

Commutative

Step-by-step explanation:

because both sides contain 4.3 + g in any order.

Answer:

this is commutative Property of Addition because they are showing that even when you change the order, the sum will equal the same amount.

Step-by-step explanation:

I hope this helps! ^^

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Answer:

x = 115

z= 40

y = 140

Step-by-step explanation:

x = 180 - (40 +25) = 115

z = 180 - (115+25) = 40

y = 180 - (40) = 140

Answer:

This is your answer!!!

Step-by-step explanation:

I attached a pic.

Hope it helps!!!

Answer is Option B) 50

9(6)-4

54-4

50

Step-by-step explanation:

step 1. -42 < 7j

step 2. j > -6 (divide both sides by 7)

step 3. notice that I also put the variable first.

Answer:

x=30 should be the answer

Answer:

x=30

Step-by-step explanation:

x=5×6

Multiply 5 and 6 to get 30.

x=30

Answer:

boys : 36

girls : 24

Step-by-step explanation:

60 - 12 = 48

48 ÷ 2 = 24 (girls)

24 + 12 = 36 (boys)

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exponential function:

Ordered pairs given:

Substitute x and y values to get below system:

Divide the second equation by the first one and solve for b:

Use the first equation and find the value of a:

The function is:

Answer:

[tex]y=5 \cdot 2^x[/tex]

Step-by-step explanation:

An exponential function is written in the form:

We can use the given points that the exponential function passes through to solve for a and b.

Create a system of equations by substituting (1, 10) and (4, 80) into the exponential form of a function.

Divide Equation I by Equation II in order to cancel out variable a.

Now we can solve for a by substituting b back into either equation from the system of equations.

Substitute 5 for a and 2 for b into the form of an exponential function to find the exponential function that passes through (1, 10) and (4, 80).

y = 5 · 2ˣ is the exponential function that describes the graph.

Answer:

Step-by-step explanation:

Wuh

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

Answer:

15. 6

16. 40

Step-by-step explanation:

Use the formula for pythagorus: c^2 = a^2 + b^2

15. 10^2 = 8^2 + b^2

100 = 64 + b^2

*minus 64 on both sides

36 = b^2

*square root both sides

b = √36 = 6  

16. c^2 = 24^2 + 32^2

c^2 = 576 + 1024

c^2 = 1600

*square root both sides

c = √1600 = 40

Hope this helps :)

1) 164

2) 1600

because a^2 + b^2 = c^2 <3

Answer:

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Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

Answer:

5% increase

Step-by-step explanation:

Answer:

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