Solve for x: 3x – 8 = 13
SHOW WORK

Answer:

f(x)=-18x^2

Step-by-step explanation:

Given:

1+Integral(f(t)/t^6, t=a..x)=6x^-3

Let's get rid of integral by differentiating both sides.

Using fundamental of calculus and power rule(integration):

0+f(x)/x^6=-18x^-4

Additive Identity property applied:

f(x)/x^6=-18x^-4

Multiply both sides by x^6:

f(x)=-18x^-4×x^6

Power rule (exponents) applied"

f(x)=-18x^2

Check:

1+Integral(-18t^2/t^6, t=a..x)=6x^-3

1+Integral(-18t^-4, t=a..x)=6x^-3

1+(-18t^-3/-3, t=a..x)=6x^-3

1+(6t^-3, t=a..x)=6x^-3

That looks great since those powers are the same on both side after integration.

Plug in limits:

1+(6x^-3-6a^-3)=6x^-3

We need 1-6a^-3=0 so that the equation holds true for all x.

Subtract 1 on both sides:

-6a^-3=-1

Divide both sides by-6:

a^-3=1/6

Raise both sides to -1/3 power:

a=(1/6)^(-1/3)

Negative exponent just refers to reciprocal of our base:

a=6^(1/3)

Answer:

4:6

Step-by-step explanation:

2 x

- = ----

3 6

6/3 = 2

2 x 2 = 4

Answer:

12x + 10 feet

Step-by-step explanation:

Perimeter = 2( length + width)

= 2[ 2x + 6 + (4x -1)]

= 2( 2x + 6 + 4x - 1)

= 2( 6x + 5)

= 12x + 10

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

Answer:

9

Step-by-step explanation:

To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.

22.5% --- 0.225

Then multiply the decimal by the number.

0.225 * 40 = 9

So, 22.5% of 40 is 9

Answer:

5

Step-by-step explanation:

1/2÷1/10=

1/2x10/1=

10/2=5

Answer:

the answer is 5

Step-by-step explanation:

keep change flip

1/2 x 10 =5

Answer:

9(−1)+(−1)(−1)Step-by-step explanation:

[tex]9(p-1)+(p-1)^2[/tex]

[tex]p^2+7p-8[/tex]

[tex]=(p-1)(p+8)[/tex]

Answer:

1) -15/4

2) -15/2

Step-by-step explanation:

1) Let u=4t. Then the limits become u=4(0)=0 and u=4(4)=16. Also du=4 dt upon differentiating the equation.

So the integral can be written as

Integral( 1/4 f(u) , u=0 to u=16)

We are given Integral( f(u) , u=0 to u=16) is -15. So a fourth of that is our answer for the first question.

2) Let u=t^2. Then the limits become u=(0)^2=0 and u=(4)^2=16. Also upon differentiating we obtain equation du =2 t dt.

So the integral becomes

Integral( 1/2 f(u) , u=0 to u=16).

We are given Integral( f(u) , u=0 to u=16) is -15. So a half of that is our answer for the second question.

Answer:

n = 1/2 or 0.5

Step-by-step explanation:

Answer:

n=1/2

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

66 is the only number between 63 and 68 that is divisible by both 2 and 11.

66/2=33   66/11=6

Step-by-step explanation:

don't panic. just breathe and think logically.

why would these angles be different ? how could they be different ?

right : they cannot be different. otherwise the 2 horizontal lines would not be parallel.

so, yes, indeed, these 2 angles are identical.

3x + 2 = 2x + 6

x = 4

that's it.

Answer:

n($6.50) + m($5.50) + k($6.00) = p

Step-by-step explanation:

n = matinee ticket

m = drink

k = popcorn

p = total cost

Without knowing the exact amount that was bought we must put a variable to show an unknown number. All of this together makes an algebraic expression.

Answer:

the answer is 196515

Step-by-step explanation:

If u already knew the why u put upped the question?

The statement that a ratio of two measurements having different units of measure IS ONE is false

Ratios are used to relate measurements of different quantities.

The measures of the quantities may or may not be one (1).

When the second quantity has a measure of one, then the ratio is called a unit rate.

So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.

Hence, the statement is false

Read more about ratios at:

https://brainly.com/question/14341008

Answer:

root 490

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Answer:

20 questions

Step-by-step explanation:

1.) Use the following equation:

[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]

2.) For this equation,

3.) Substitute

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

4.) Solve

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5.) Cross Multiply

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5x = 100

6.) Divide

5x = 100

x = 20

Therefore, you got 20 questions right.

Answer:

6.4 should be the correct answer

Step-by-step explanation:

if im wrong and you wanted it in a different format im sorry

Jake's Argument is correct, adding zero (0) to an addend does not change a sum.

Addend is number which is added to another number.

For example:

y + 5 = 8

where;

Adding zero (0) to an addend does not change a sum. An example is present below;

5 + 3 = 8

add zero (0) to 3 and check if the final result will change;

5 + (3 + 0) = 5 + 3 = 8

Thus, Jake's Argument is correct, adding zero (0) to an addend does not change a sum.

Learn more about addend number here: https://brainly.com/question/654494

Answer:

8x

Step-by-step explanation:

3x+5x=8x

3+5=8

x is the same variable.

Answer:

Step-by-step explanation:

Because you have a parallelogram, the two angles shown are "same side interior angles" which means they add up to 180°.

We would say that they are supplementary (they add up to 180°)

So add them together and set them equal to 180°

(4x+18) + (8x+30) = 180°

This is all adding, so we dont really need any of these parenthesis.

4x+18+8x+30=180

Add the x terms together and add the constants (plain numbers) together.

12x + 48 = 180

Subtract 48 from both sides of the equation.

12x = 132

Divide both sides by 12

x = 11

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3

Answer:

335.4

Step-by-step explanation:

You can use the Pythagorean Theorem (a^2 + b^2 = c^2)

300^2 + 150^2 = 112500

The square root of 112500 is 335.4

Answer:

your trying to find out how much each cookie cost

from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents

Hope This Helps!!!

They are skipping -7, 5, -7.

The common difference of the sequence is 18.

Answer:

k(x)=-3/4x+5

Step-by-step explanation: