Write as quotient of powers.

Answer:

x=5

Step-by-step explanation:

1. Combine like terms to simplify the equation.

Combining like terms means to combine anything that has the same variable, degree, or no variable at all.

-3x and +6x are like terms, for example because they both have an x.

Add them together to get 3x.

2. Rewrite the equation as the simplified version of 3x-8=7.

3. Add 8 to both sides to cancel out 8 on the left side.

3x=15.

4. Divide by 3 to isolate x.

x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.

Answer:

-325

-125

Step-by-step explanation:

6.

Let the blank be x.

-50 + 375 + x = 0

325 + x = 0

x = -325

Answer: -325

7.

Let the blank be x.

-75 + x + 50 + 150 = 0

125 + x = 0

x = -125

Answer: -125

Answer:

It should be 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Since 5 is positive and 8 is negative, then you can just add the two.

5 + 8 = 13

Or use the distance formula:

Distance = [tex]\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1})^{2} }}\\\\\sqrt{(7 -7) ^{2} + (5 - (-8)) ^{2}}\\\\\sqrt{0 + 169} \\\\Approximately 13\\[/tex]

Answer: Interesting question bro

Step-by-step explanation:

Answer:

the correct answer would be 11.25 or 27.75 unless the answer choices were some type of ratio

Step-by-step explanation:

Step-by-step explanation:

find something open a bank account with 1.25% singing to the total amount of inches 10 NFL 2808 how much they served in the position he opened their account enter your answer is also came and there's nobody here so I'll just answer on the line so you come soon open a bank account with 1.5 interest amount of Interest some to Hereford Texas ezy842 1.25 then after then get her answer is x * 20

The amount of deposit when he opened the account will be $650.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.

Then the amount of deposit when he opened the account will be given as,

A = P + I

812.5 = P + (P x 1.25 x 20)/100

812.5 = P [1 + 0.25]

812.5 = 1.25P

P = $650

The amount of deposit when he opened the account will be $650.

More about the simple interest link is given below.

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Answer:

m>−78

Step-by-step explanation:

that's your answer:)

This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

      Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

Now our hypotheses are will be;

H₀ : μ = 0.5    and

H₁ : μ < 0.5

For the test, we shall use the z statistic which will be

z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4  

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.

For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

-2.33(0.04/√n) = (x"-0.5)

-0.0466 = x" - 0.5

x" = 0.5 - 0.0466

x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Answer:

its c (4x^2)

Step-by-step explanation:

The greatest common factor of the polynomial expression 4x - 32x - 60x is 4x

The polynomial expression is given as:

4x - 32x - 60x

Factor out x from the terms in the expression

x(4 - 32 - 60)

Factor out 4 from the terms in the expression

4x(1 - 8 - 15)

Hence, the greatest common factor of the terms is 4x

Read more about greatest common factor at:

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Answer:

[tex]1 \div 6 \times 72 = 12[/tex]

Answer:

9 minutes is the half life of the radioisotope.

Step-by-step explanation:

Given;

initial count rate = 7,600 counts per minute

final count rate = 1,900 counts per minute

elapsed time, t = 18 minutes

The half life of the radioisotope is calculated as;

       Time (half life) --------------------------remaining count rate

                     0  ------------------------------7,600 counts per minute

                      x ------------------------------3,800 counts per minute

                     2x----------------------------- 1,900 counts per minute

thus, 2x = 18 minutes

x = 18 / 2

x = 9 minutes

Therefore, 9 minutes is the half life of the radioisotope.

Answer:

2) 4/3

Step-by-step explanation:

(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)

4^-3 * 3^4 * 4^2 = 4^-1 * 3^4

(4^-1 * 3^4)/(4^-2 * 3^5)

(3^4)/(3^5) = 1/(3^5-4)

(4^(-1))/(4^-2 * 3^(5-4)

(4^-1)/(4^-2 * 3)

4^(-1 - (-2)) / (3)

-1 - (-2) = 1

4/3

Answer:

$362.5

Step-by-step explanation:

Given that :

x : _____ 230 ______340 ______ 590

P(x): ____0.25______0.55 _____ 0.20

To obtain the expected value E(x) of the outcome ; we can use the formula :

E(x) = Σ(x * P(x))

E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)

E(x) = 57.50 + 187 + 118

E(x) = 362.50

Answer:

y= 3x/2-2

Step-by-step explanation:

Answer:

dx/dt  = - 18,79 mph

Step-by-step explanation:

The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse

If we call  x  and  y  distances between blue car and red car respectively  and L the hypothenuse by Pythagoras theorem we have:

L²  =  x²  + y²      (1)

Tacking derivatives on both sides of the equation

2*L*dL/dt  = 2*x*dx/dt + 2*y*dy/dt

And from equation (1)

L²  = (0,5)² + (0,5)²    ⇒  L = √(0,5)²  + (0,5)²   ⇒ L = 0,5*√2

By subtitution in equation (2)

2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40

(15*√2 - 40 ) / 1  = dx/dt  [mph]

dx/dt  = - 18,79 mph

Note the( - ) sign is equivalent to say that the car is driving away from the intersection point

12345678910 - 12345678910 = 0

Answer:

Area = 16 in²

Step-by-step explanation:

Represent the length with L and the width with W

We have the following given parameters:

L = 4W

Perimeter = 20

Required

Determine the area.

The perimeter is calculated as thus:

Perimeter = 2(L + W)

Substitute 4W for L and 20 for Perimeter.

20 = 2(4W + W)

20 = 2 * 5W

20 = 10W

Solve for W

W = 20/10

W = 2

Recall that:

L = 4W

L = 4 * 2

L = 8

The area is then calculated as thus:

Area = L * W

Area = 8 * 2

Area = 16

Hence, the area is 16in²

Answer:

the answer is lletter D MARK ME IF CORRECT

Step-by-step explanation;

Answer:

Domain: (-infinity, +infinity) since you can pick any x values.

Range: [0, +infinity) since it does not go below the x axis.

Step-by-step explanation:

The graph is a parabola given by [tex]y=x^2[/tex]

lets pick a few x values:

x = 1 gives us y = 1^2, which = 1

x = -1 gives us y = (-1)^2, which = 1

The parabola's domain is any x value as it extends to infinity.

For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]

Answer: x = 3

Step-by-step explanation:

Simplifying

10x + -4 = 6x + 8

Reorder the terms:

-4 + 10x = 6x + 8

Reorder the terms:

-4 + 10x = 8 + 6x

Solving

-4 + 10x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-4 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + 4x = 8 + 0

-4 + 4x = 8

Add '4' to each side of the equation.

-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 4x = 8 + 4

4x = 8 + 4

Combine like terms: 8 + 4 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Add

to both sides of the equation

Simplify

Add

to both sides of the equation

Simplify

6

Divide both sides of the equation by the same term

Answer:

"’I don't want a fashionable wedding, but only those about me whom I love, and to them I wish to look and be my familiar self.’"

Step-by-step explanation:

Answer:

the one above my answer is correct

Step-by-step explanation:

Answer:

i think it is c or b but go with you gut feeling

Step-by-step explanation:

Answer:

37.52 million

Step-by-step explanation:

using,

A = A'(1+R/100)ⁿ............................. equation 1

Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.

Given: A' =35.7 million, R = 1%, n = 5.

Substitute these values into equation 1

A = 35.7(1+0.01)⁵

A = 37.52 million.

Hence the size of the population of the country in the year 2015 is 37.52 million

Answer: 2.

Step-by-step explanation;

2.261 rounded to the nearest one is 2. Recall that the nearest ones whole number is the first digit before the decimal point of a number.

Answer:

4.25

Step-by-step explanation:

Answer:

3,-1

Step-by-step explanation:

you go over to the left 3 and than you go down 4.

Answer:

False, since x values cannot have more than one y value.

Step-by-step explanation:

False, since x values cannot have more than one y value.

Answer:

the answer is c i had the same test