What is a if 5 to the power of a is 1/125

Answer:

p=12

Step-by-step explanation:

a=l×b

a=219.6

l=18.3

b=?

219.6=18.3×b

Divide both sides by 18.3

And therefore b=12 yards

Answer:

120 pounds

Step-by-step explanation:

24÷30 =0.8

0.8 x 150= 120 pounds

The statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

To determine which statements are true, find the rate of change of each segment in the graph.

Rate of change for Segment R:

Segment R is horizontal, therefore the rate of change = 0.

Rate of change for Segment S:

Rate of change = rise/run = 7/2 = 3½.

Rate of change for Segment T:

Rate of change = rise/run = 8/-8 = -1.

Rate of change for Segment U:

Rate of change = rise/run = 5/3 = 2⅔.

The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).

Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).

Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).

Option 4 is false. Rate of change for segment U is rather 2⅔.

Option 5 is also not true. Segment R has a rate of change of 0.

Therefore, the statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

Learn more about rate of change on:

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Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

27 = 3 x 3 x 3 = 3³

log3 27

= log3 3³

= 3 log3 3

= 3 x 1

= 3

Note : -

Formulas : -

Logn n = 1

Logn n^n = n Logn n

Answer:

Step-by-step explanation:

-6x+5y=0 and −5x+5y=−5

Subtract the second from the first:

-6x+5y=0

5x-5y= 5

-x = 5

x = -5

Answer:

56

Step-by-step explanation:

Answer:

i think its 140 because u got to add all the sides in order to subtract from 180

i dont know  if its right but that is what i think UwU

First, we'll look at the first term of each expression.

---x times what is equal to x^3? = x times x^2 = x^3

So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.

x^2(x + 1) = x^3 + x^2

(x^3 + 4x + 5) - (x^3 + x^2)

x^3 - x^3 = 0

0 - x^2 = -x^2

4x - 0 = 4x

5 - 0 = 5

Our new expression is -x^2 + 4x + 5.

So we again ask ourselves, x times what is equal to -x^2? = -x

-x(x + 1) = -x^2 - x

And subtract!

(-x^2 + 4x + 5) - (-x^2 - x)

-x^2 - - x^2 = -x^2 + x^2 = 0

4x - - x = 4x + x = 5x

5 - 0 = 5

Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.

Multiply, then subtract!

5(x + 1) = 5x + 1

(5x + 1) - (5x + 1) = 0

Now that we have nothing left to divide, let's go back and get our answer.

x^2 - x + 5

Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.

Hope this helps and if you have any further questions, please let me know! :)

Answer:

Step-by-step explanation:

         x   - 2         <--- quotient

x + 1) x^2 -  x + 5       First divide x^2 by x giving x then multiply x + 1 by x:

         x^2 + x             Now subtract x^2 + x from x^2 - x and bring down +5:

                  -2x + 5     Now divide -2x by x to get -2 and multiply X+1 by -2                           -2x - 2       Subtract:

                           7  

The result is x - 2 (see above)  remainder 7

or you could write it as

x  - 2 + 7/(x + 1)                                            

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

If my calculations are correct, Sally would be able to buy 3 pairs for 84 bucks and 5 pairs of shirts for 60 bucks, making a total of 144 bucks.

Answer:

5.5

Step-by-step explanation:

The line perpendicular to y =-3 /2 x + 6 is y = 2/3 x + 6. When you find the y-int  from the graph you drew, the y-int is about 5.5

Hope that helps

The remainder of the equation is [tex]\rm x+1[/tex].

Given that,

When the equation is [tex]x^3+1[/tex]  divided by [tex]x^2-x+1[/tex].

We have to determine,

The remainder for the equation?

According to the question,

The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]

Hence, The required remainder of the equation is [tex]\rm x+1[/tex].

For more details refer to the link given below.

https://brainly.com/question/25880057

Answer: a

Step-by-step explanation:

on edge

Answer:

$3671.58

Step-by-step explanation:

Take the annual salary and divide it by the number of months

The volume of the prism, in cubic units is 1/2x³ + x²

The volume of the oblique prism is given as:

V = Base area * Height

Given the following

Base area = 1/2 (x*x)

Base area = 1/2 x²

Get the volume of the prism;

Volume of the prism = 1/2(x²)(x+2)

Volume of the prism = 1/2(x³+2x²)

Volume of the prism = 1/2x³ + 1/2(2x²)

Volume of the prism = 1/2x³ + x²

Hence the volume of the prism, in cubic units is 1/2x³ + x²

Learn more on the volume of prism here: https://brainly.com/question/23963432

Answer:

1/2x³ + x²

Step-by-step explanation:

edg

Answer:

n = 2

Step 1: Add 3 to both sides to isolate x.

n – 3 = ‐1

Step 2: Solve

=> n = -1 + 3

Final Answer: Answer to the question.

=> n = 2

Therefore, n = 2 is our answer.

Hoped this helped.

Answer:

$75 I think. Not 100% sure but like 95% sure :)

Answer:

8,000,000

Step-by-step explanation:

if 500,00 is the first year and in 85 years it will be 1,000,000, then after 180 years 2,000,000 and then 4,000,000 after 265 years then 8,000,000 after 340 years

Answer:

Hi again

Its your 3rd option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 3 is correct just got the test!

Answer:

a^2b^2+6abx+9c^2

Step-by-step explanation:

(a + b)2 = a2 + 2ab + b2

(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2

Hey there!

(ab + 3c)^2

= (ab + 3c)(ab + 3c)

DISTRIBUTE

= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)

= a^2 b^2 + 3abc + 3abc + 9c^2

COMBINE the LIKE TERMS

= a^2 b^2 + 6abc + 9c^2

Therefore, your answer is:

a^2 b^2 + 6abc + 9c^2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The quadratic equation has two solutions if b^2 - 4ac > 0

Given the equation ax^4 + bx^2 + c=0

Substitute into the formula to have:

The equation becomes aP^2 + bP + c = 0

For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0

learn more on discriminant here; https://brainly.com/question/1537997

Answer:

5 PLZ GIVE BRAINLIEST

Step-by-step explanation:

83+37 = 120

120/5=24

Answer:

10

Explanation:

130 divided by 13 equals 10

10 times 13 equals 130

Answer:

B. 24

Step-by-step explanation:

If N1 = 8;

N1 + 4

8 + 4 = 12 =N2

N2 + 4

12 + 4 = 16 = N3

N3 + 4

16 + 4 =20 = N4

N4 + 4

20 + 4= 24 = N5

Answer:

630 is 28% of 2250.

Step-by-step explanation:

28 / 100 = .28

2250 X .28 = 630.

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

(x + 1)²(x - 3)(x - 4) = 0

Equate each factor to zero and solve for x

x- 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then

x = - 1 with multiplicity 2

Answer:

  D. (f+g)(x) = 8x^2 + 4x - 4

Step-by-step explanation:

The notation (f+g)(x) is shorthand for f(x) +g(x).

  (f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)

  = (3 +5)x^2 +(-2 +6)x +(4 -8)

  (f +g)(x) = 8x^2 +4x -4

The solution to the original equation will be -2 and -6

Given the function [tex](x + 3)^2 + (x + 3) - 2 = 0.[/tex]

If u = x + 3, the function in terms of "u" will be;

[tex]u^2+u-2=0[/tex]

Factorize the resulting equation as shown:

[tex]u^2+u-2=0\\u^2+2u-u-2=0\\u(u+2)-1(u+2)=0\\(u-1)(u+3) = 0\\u=1 \ and \ -3[/tex]

Since x + 3 = u

x = u - 3

If u  = 1

x = 1 - 3  = -2

If u  = -3

x = -3 - 3  = -6

Hence the solution to the original equation will be -2 and -6

Correct question:

Solve (x + 3)^2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u – 2 = 0 u2 + u + 1 = 0 Factor the equation. What are the solutions of the original equation?

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Answer:

142

Step-by-step explanation: