**Which of the following is the independent variable in the equation below?**

**F(x)=5x+10**

10

F

5

x

*Correct Answer : D*

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

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Related Questions

### Correct Answer is D

#### Explanation

in this case, we express James’ uncle’s age in terms of James’ age. From the equation:

James’ age is n

James’s uncle’s age is m=3n-13

Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.

### Correct Answer is C

#### Explanation

The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows. Â

The value of x is found as:

The value of the unknown leg side of a triangle is about 9.8 feet.

### Correct Answer is A

#### Explanation

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

IfÂ *Â *Â , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3

### Correct Answer is A

#### Explanation

The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

Number of boxes:

\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

The approximate number of boxes that can be stored in the room is approximately 111 square feet.

### Correct Answer is D

#### Explanation

We are asked to make z the subject of the formula.

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z isÂ Â .

### Correct Answer is C

#### Explanation

we need to find the circumference of the circle from the given area.

The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to beÂ 9 in, the circumference of the circle becomes,

*Â *Â in.

### Correct Answer is B

#### Explanation

The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

-6, -4, 1, 8, 12

There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

### Correct Answer is A

#### Explanation

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.

### Correct Answer is A

#### Explanation

A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.

### Correct Answer is C

#### Explanation

We are asked to find the fraction of pizza the three friends shared equally.

First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:

First friend eats =1/4 of 1=1/4*1=1/4

Remaining fraction of the pizza=1-1/4=3/4

Now, the three friends share 3/4 amongst themselves equally. So, each friend gets

The three friends each gets 1/4 of the pizza.

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