**As the dollar rate increases in a day, the amount of investment, stock prices, and forex exchange deposit available also decreases. Which of the following is the independent variable?**

Amount of investment

Dollar rate

Stock prices

Forex exchange deposit

*Correct Answer : B*

Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.

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### Correct Answer is D

#### Explanation

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If we let x be the minimum length of the ramp. Then,

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*X = 18 Feet*

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5Â high is 18Â feet.

### Correct Answer is A

#### Explanation

we need to find the portion of pizza shared by other three friends.

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### Correct Answer is C

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To find the pounds equivalent of the kg given, we use the two options as given below.

OR

Since we want to remain with pounds, we use the second option and set up the equation below.

Thus, 65 kg is equal to 143 lb.

### Correct Answer is D

#### Explanation

In this task, we use the relation from the given scenario to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 2p

Number of nickels in the bottle = 3p

Number of dimes in the bottle =6(3p)=18p

Now relating dimes to quarters, we have

Thus, there are 9 times as many dimes as quarters in the box.

### Correct Answer is A

#### Explanation

Given the equation A(f)=92+2f

To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.

### Correct Answer is B

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We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

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*Â *

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

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:

### Correct Answer is B

#### Explanation

We use the calculator to find the positive square root of 19, which is then multiplied by 3.

Using the calculator,

Multiplying the square root above with 3 becomes

The approximate value of 3 times the square root of 19 is 13.1.

### Correct Answer is D

#### Explanation

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Two ways to convert between teaspoon and mL are:

Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

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### Correct Answer is D

#### Explanation

The probability of finding a green ball is given by

Â

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Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.

### Correct Answer is B

#### Explanation

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First, add 2 to both sides of equation

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IfÂ *Â *Â , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

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Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.

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