Use PEMDAS to answer the question.

Given:

An exponential function goes through points (0,6) and (5, 6144).

To find:

The exponential function.

Solution:

The general form of an exponential function is

[tex]y=ab^x[/tex]          ...(i)

It goes through points (0,6) and (5, 6144). It means the equation must be satisfied by these two points.

Putting x=0 and y=6, we get

[tex]6=ab^0[/tex]

[tex]6=a[/tex]

Putting a=6, x=5 and y=6144, we get

[tex]6144=6b^5[/tex]

[tex]\dfrac{6144}{6}=b^5[/tex]

[tex]1024=b^5[/tex]

Taking 5th root on both sides, we get

[tex]\sqrt[5]{1024}=b[/tex]

[tex]4=b[/tex]

Putting a=6 and b=4, we get

[tex]y=6(4)^x[/tex]

Therefore, the required exponential function is [tex]y=6(4)^x[/tex].

Answer:

Sophie has 12 feet more

Step-by-step explanation:

Answer:

-4/10+(-7/10)= -1 1/10(the bottom left one)

Step-by-step explanation:

starts from 0 and subtract 4/10.  From there you subtract 7/10 more.

answer:

they will never cross....

The football team scored 20 points.

I divided the total points made by the opponents (12) by 3 because of the ratio and got 4. Then, I multiplied 5 by 4 to get the football teams total amount of points.

-Ɽ3₮Ɽ0 Ⱬ3Ɽ0

Answer: A

Step-by-step explanation:

Answer:  D) 10

============================================================

Explanation:

I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.

So,

DE = 2*(MN)

3x-2 = 2*(x+4)

3x-2 = 2x+8

3x-2x = 8+2

x = 10

Answer:

A. Transpiration

Explanation:

Plants put down roots into the soil to draw water and nutrients up into the stems and leaves. Some of this water is returned to the air by transpiration.

answer = the elder bother is 17 and the younger one is 15

constructive odd integers= 15 and 17

17×15= 255

255+38 = 293

Square root of 293 = 17

Answer: to get a better picture.

Step-by-step explanation:

50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.

Answer:

A

Step-by-step explanation:

if it starts at and next is 8 it gos up by 3 each time

Answer:

A

Step-by-step explanation:

5 +3

8 +3

11 +3

14

They are all getting increased by 3

Answer:

The answer is x = 4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

~Hoped this helped~

I see you have a rob lox pfp

I play rob lox too :] whats ur user??

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

Let's look at the statement.

7y = 14x  and  y = 2x does have infinitely many solutions. Why? Because the first equation can be rearranged to look like the second one. If you divide 7y and 14x by 7, you end up with y = 2x. Look familiar? This means the set of equations has infinitely many solutions.

Answer:

750%

Step-by-step explanation:

We know that 100% of 5 is 5,

200% of 5 is 10,

300% of 5 is 15,

400% of 5 is 20,

500% of 5 is 25,

600% of 5 is 30,

700% of 5 is 35,

800% of 5 is 40.

So 37 1/2 percent of 5 must be between 700 and 800 percent of 5. We also know that 2.5 is 50% of 5, and 35 + 2.5 = 37.5. So 37 1/2 is 750% of 5

Answer:

46.6666667

Step-by-step explanation:

14/30=0.46666667

*100=46.6666667

round to 46.7%

The total distance traveled was 638.3m.

To calculate the perimeter of a circle we perform the following operations:

We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.

So the radius of this circle is 50m.

Subsequently, to find the perimeter of the circle we apply the following formula:

According to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:

314.15m × 2 = 638.3m

Learn more about diameter in: https://brainly.com/question/9762612

Answer:

168.75

Step-by-step explanation:

......

Answer:

168.75

Step-by-step explanation:

Answer:

(-1, -2)

Step-by-step explanation:

The solution is the intersection, which is at (-1, -2)

Answer:

f(x)*g(x)  =   [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]

Step-by-step explanation:

I am assuming that * means multiplication

(f*g)(x) = f(x)*g(x)

So, f(x)*g(x)  =  (-x-4)([tex]2x^{2} + 4x + 11[/tex]) = [tex]-2x^{3} - 4x^{2} - 11x - 8x^{2} - 16x - 44[/tex]

                                                       =  [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]

Answer:

the agv speed is 223

Step-by-step explanation:

Answer:

51.42 avg mph

Step-by-step explanation:

45+45 = 90 miles total for 1 3/4 hours

90/.75 = 51.42 avg mph

Answer:

i dont know but i think its 50

Step-by-step explanation:

Answer:

Number = 24

Step-by-step explanation

it is the smallest possible number

Answer:

20>x-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:46

Step-by-step explanation:

Homeowner should use in drawing the conclusion is method of residues.

A complex series of occurrences is removed from all known causes. The reason is supposed to be what is left over.

If a set of factors is thought to create a set of phenomena, and all but one of them matches all the phenomena, the remaining phenomenon can be attributed to the remaining factor.

A method of agreement is a way of comparing different examples of the same phenomenon under different conditions.

The method of concurrent variation states that if a specific effect occurs in a variety of settings,

Thus, homeowner should use in drawing the conclusion is method of residues.

Learn more about the method of residues here:

https://brainly.com/question/19131352

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111km

the ratio is 1:15 so you do 7.4×15