The $5$th power of what number is equal to $3^{15}$?

Answer:

Step-by-step explanation:

The slope is:

The y-intercept is:

The line is:

A. The x-Intercept of the graph of k is 8.

B. The slope of the graph of k is 2.

C. The graph of k passes through (-1, -8).

D. The zero of k is 3.

The slope of the graph of k is 2.

The correct statement is B.

Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).

We need to check which option is correct.

To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).

The slope of a linear function is given by:

slope = (change in y) / (change in x)

Using the points (-3, 0) and (1, 8):

slope = (8 - 0) / (1 - (-3))

slope = 8 / 4

slope = 2

So, the slope of the graph of k is 2.

Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.

Using the point (1, 8):

8 = 2 × 1 + b

8 = 2 + b

b = 8 - 2

b = 6

Now, the equation of the linear function k is:

y = 2x + 6

Now, let's evaluate the given statements:

A. The x-Intercept of the graph of k is 8.

To find the x-intercept, we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The x-intercept is -3, not 8. So statement A is false.

B. The slope of the graph of k is 2.

We already found earlier that the slope of k is 2. So statement B is true.

C. The graph of k passes through (-1, -8).

Let's check if (-1, -8) satisfies the equation of k:

-8 = 2 × (-1) + 6

-8 = -2 + 6

-8 = 4

The equation is not satisfied, so statement C is false.

D. The zero of k is 3.

To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The zero of k is -3, not 3. So statement D is false.

In conclusion:

Statement A is false.

Statement B is true.

Statement C is false.

Statement D is false.

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Answer:

w=-8.6 is your answer

-5w-43. is the simple version

Step-by-step explanation:

First distrubute the -7 and set equal to 0 so that we can move the w to the other side.

-7w-28+2w-15=0

-5w-43=0

add 43 to both sides so you can slove for w

-5w=43

divide both sides by -5 to isolate the w

w=-8.6

Step-by-step explanation:

current Amount of money 23

8x10=80

80+23=103

William will have 103$ after 10 weeks

Answer:

I got 10 as the answer

Step-by-step explanation:

-(-8)-(-2)

8-(-2)

8+2

10

Answer:

is it -(-8) -(-2) or

(-8) -(-2) cause

I think you can use a number line which comes to a +6

Answer:

Y=3x+3

Step-by-step explanation:

Gradient = :[tex]\frac{y2-y1}{x2-x1}[/tex] = :[tex]\frac{3-15}{0-4}[/tex] = :[tex]\frac{-12}{-4}[/tex] = 3

Y= mx + c

y = 3x + c

Insert x and y values for first point(4,15)

15 = 3 (4) + c

15 = 12 + c

3 = c

Y=3x +3

Answer:

The equation of the line is y=3x+3

Step-by-step explanation:

y=mx+b is the y intercept form of the equation of this line.

m=slope, and we find the slope by the equation m=y2-y1/x2-x1. Plugging our number into that formula, we get m=3 - 15/ 0 - 4, or -12/-4, which simplifies to 3.

Now we can add our slope into the formula.

y=3x+b

Next, we solve for the y intercept, or b. You can use whatever point to get the answer, but I will use 4 ,15).

y=mx+b is the equation, or substituting the numbers, gets you 15=3×4+b. now solve for b: b=15-(3)(4). b=3.

now, with slope and y intercept plugged in, the final equation is. y=3x+3

Answer:

It is 8.72 if it needs to be rounded up. If not, it is 8.71779788708

Step-by-step explanation:

Answer:

64 ounces

Step-by-step explanation:

Divide the total number of ounces by the number of days.

448 / 7 = 64 ounces

Answer:

x=9

Step-by-step explanation:

1. Combine like terms

2. Add 6 to both sides

3. Simplify

Answer:

C

Step-by-step explanation:

convert the fractions to decimals

Answer:

C.140

Step-by-step explanation:

If half of the circle equals 70 students. Then one half of that would be 35 students. Since there are 2 sections that are 25% each piece is equal to 35 students. If we add the total number of students together. (70+35+35) We get 140 students.

Answer:

4

Step-by-step explanation:

There are a total of 6 sections that have been completed by him and his friend.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the section be finished by one is y, and finished by his friend be x.

According to 1st condition,
y = 3x  - - - - - (1)
According to the second condition,
y = 4 + x
From equation 1
3x = 4 + x
2x = 4
x = 2

Now,
y = 3x
y = 3 * 2
y = 6

Thus, there are a total of 6 sections that have been completed by him and his friend.

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Answer:

2% of 1kg

Step-by-step explanation:

20g/1kg x 100

= 20g/1000g x 100

1/50 x 100

=2

Therefore, 20g is 2% of 1kg

Hope it helps you

Answer:

2%

Step-by-step explanation:

1kg=1000g

=20/1000×100%

=2%

Step-by-step explanation:

A=D+qm

qm = A - D

q =(A-D) /m

Answer:

q = (A - D)/m

Step-by-step explanation:

A = D + qm

A - D = qm

(A - D)/m = q

So, the solve for q is q = (A - D)/m

Answer:

26/7 or 3 5/7

Step-by-step explanation:

Answer:

. g bdhdjejbzjehshsuhrbxhhdhsgusuedhhdhdbdhejdbxbrjnxc

Answer:

m<2=16

Step-by-step explanation:

Answer:

Domain and range both [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.

The inverse of the function can be found as such:

[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].

Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.

So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]

Answer:

Since x=−2 is a vertical line, there is no y-intercept and the slope is undefined.

Step-by-step explanation:

Step-by-step explanation:

Well the addition of ($0.01+$0.02+$0.04) would be $0.07

And he since he can get $1.25 a week if he chose the weekly option

Since $1.25>$0.07

I would tell Ronald to choose the weekly option for getting more allowance.

Answer:

a) 2⁵ = 2×2×2×2×2

b) 25³ = 25×25×25

c) 10⁶ = 10×10×10×10×10×10

d) 3⁴ = 3×3×3×3

e) 1.2² =1.2×1.2

f) 0.4²=0.4×0.4

Step-by-step explanation:

Your answer would be 154*. Reason being, if there are two parallel lines and a line running through them, you will only have 2 types of angles. The labeled 154* tells us that the angle to its right would be 26 degrees. Making  line m = to 180 degrees at that angle. Then if you did the same thing with line t, you would get angle x to be equal to 154 degrees.

It is complicated like that, or as simple as just taking the 154 and saying that x has the same angle. Due to the fact that both angles are adjacent, they are the same.

Answer:

11

Step-by-step explanation:

A=8x+8

B=8x-4

A+B=180 degrees

therefore,

8x+8+8x-4=180

16x+4=180

16x=176

x=176/16=11

Hope it helps

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[tex]\\ \sf\longmapsto 5.5\Delta t=1.2\Delta t^2[/tex]

[tex]\\ \sf\longmapsto 5.5=1.2t^2[/tex]

[tex]\\ \sf\longmapsto t^2=\dfrac{5.5}{1.2}=4.58[/tex]

[tex]\\ \sf\longmapsto t=2.14[/tex]

Answer: Two buildings are 26.3m apart. From the top of the shorter building the angle of elevation to the top of the taller building is 35.9 degrees and b = 26.3 tan(54.7) = 26.3 1.412 = 37.145

Step-by-step explanation:

Answer:

316.4     in the calculator it came out like this

Step-by-step explanation: