Answer:
**Answer: x = 21**

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Explanation:

The exponent rules are

- a^b * a^c = a^(b+c) .... lets call this rule 1
- (a^b)/(a^c) = a^(b-c) .... lets call this rule 2
- (a^b)^c = a^(b*c) ......... lets call this rule 3

The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.

We'll keep this in mind for later.

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On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)

Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).

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After using those exponent rules, the original equation turns into

c^(20-x) = c^(-1)

The bases are both c, so the exponents must be equal

20-x = -1

-x = -1-20

-x = -21

**x = 21**

the label on marc’s yogurt said that one serving provided 10 grams of fiber, which is 50% of the recommended daily amount. what is the total recommended daily amount of fiber?

A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle? A. 25° B. 55° C. 85° D. 125°

Write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,869)

Researchers are investigating the effect of pH level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low pH, medium pH, or high pH, to the water in the tanks that hold the jellyfish.Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?

In a basketball game, Carolyn made 14 out of 20 shots. Anna made 16 out of 24 shots. Explain how you can tell if the two players made a proportional number of shots.

A quadrilateral has angles that measure 60°, 95°, and 150°. What is the measure of the fourth angle? A. 25° B. 55° C. 85° D. 125°

Write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,869)

Researchers are investigating the effect of pH level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low pH, medium pH, or high pH, to the water in the tanks that hold the jellyfish.Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?

In a basketball game, Carolyn made 14 out of 20 shots. Anna made 16 out of 24 shots. Explain how you can tell if the two players made a proportional number of shots.

Give your answer in its simplest form

**Answer:**

**1/6**

**Step-by-step explanation:**

Males = 1

Females = 5

Ration: 1:5

Male fraction = 1/6

**Answer:**

**Step-by-step explanation:**

Let number of male = x

number of female = y

then according to given condition , we get ,

y =5*x

please

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Answer:

The sample size is

Step-by-step explanation:

From the question we are told that

The margin of error is E =4.266

The standard deviation is

From the question we are told the confidence level is 99% , hence the level of significance is

=>

Generally from the normal distribution table the critical value of is

Generally the sample size is mathematically represented as

=>

=>

**Answer:**

When dealing with VOLUME, an increase in a linear quantity, produces a third power result in the volume.

Increase the sides of a cube by 2 produces an 8 times effect in the volume.

Increasing each side of a cube by 4 produces a chnage of 4 * 4 * 4 or

64 times in the volume.

**Step-by-step explanation:**

Answer:

Step-by-step explanation:

-29 +14 =-15

The biggest number "29" has minus "-" in front, so in the final the sigh will be minus. The final sigh on the answer dibents on the biggest number.

If you have this exercise :

-14 +29 =15

The biggest number has "+" in front of it

To solve the problem −29+14, you subtract the smaller number from the larger number and give the answer the sign of the larger number, resulting in −15. The rules of addition for integers require attention to the sign and magnitude of the numbers involved.

Jessica, to solve the problem −29+14, we need to apply the rule for addition when dealing with integers that have different signs. Since −29 is negative and 14 is positive, you subtract the smaller number from the larger number and the answer will have the sign of the larger number. In this case, 29 is larger than 14, so we do 29 − 14, which equals 15. Because the larger number (29) was negative, the result will also be negative, so the final answer is −15.

Remember the rules of addition for different signs: when adding two numbers with opposite signs, the answer will have the sign of the larger absolute value. We subtract the smaller absolute value from the larger one to determine the numerical part of the answer. If you're ever unsure about the sign, just remember that the answer will take the sign of the number with the larger absolute value. This is also true when performing subtraction, except you change the sign of the number being subtracted first, then proceed with addition based on the rules for integers.

**Answer:**

3/4

**Step-by-step explanation:**

**Answer:**

8*90 + 8*9 = 760

**Step-by-step explanation:**

Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.