Explain why dividing by a^b is the same as multiplying by a^−b.

Answers

Answer 1

Answer:

Answer:is there a chart or something else to the question?

Step-by-step explanation:

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Less than greater than or equal to10 fluid ounces __ 1 cup
5 qt __ 2 gallon
2 cups __ 46 fluid oz
64 fl oz __ 2 qt
3 gallons __ 22 pt
12 pt __ 3 gallons
160 fl oz __ 10 pt
100 fl oz __ 10 cups
100 qt __ 125 gallons

Answers

10 oz is greater than 1 cup
5 at is greater than 21 gallons
2 cups is less than 46 oz
64 oz is greater than 2 qt
3 gallons is greater than 22 pt

Answer:

don't know

Step-by-step explanation:

How do you subtract 9 2/6 - 6 5/6 =

Answers

9 2/6 = ((9*6)+2) / 6 = (54+2) / 6 = 56 / 6
6 5/6 = ((6*6) + 5) / 6 = (36+5) / 6 = 41 / 6

9 2/6 - 6 5/6 = 56 / 6 - 41 / 6 = 15 / 6 = 2 3/6 = 2 1/2

Answer:

2 1/2

Step-by-step explanation:

9 2/6= 56/6

6 5/6= 41/6

56-41=15

15/6= 2 3/6

2 3/6 = 2 1/2

2y=x-4 find the slope and y-intercept

Answers

Answer:

Slope is 1/2

Y- intercept is -2

Step-by-step explanation:

Re-write the equation so that u have y = x/2 -4/2

Then simplify into y = 1/2x -2

-2(2p - 4) = 3(p+12)

Answers

To simplify this equation, we need to use the distributive property on both sides of the equation.

When we multiply through the parentheses, we get

-4p+8=3p+36

Next, we want to get the variable (in this case p) on one side of the equation, so we add 4p to both sides of the equation to cancel it out with the -4p on the left side.

8=7p+36

Next, we need to subtract 36 from both sides of the equation, to cancel it out with the +36 on the right side.

-28=7p

Finally, we need to divide both sides by 7, to cancel out the multiplication that attached the 7 to the p.

-4=p

Your final answer is p=-4.

SHOW WORK!!!!!(question) There are markers every 1000 feet along the side of the road. While driving, Sonya passes marker 8 at 3:10 P.M. and marker number 20 at 3:14 P.M Find Sonya's average speed in feet per minute. Use dimensional analysis to check the reasonableness of your answer.
ANY ANSWERS THAT DO NOT HELP WILL BE REPORTED AND OR DELETED

Answers

1. Find the distance Sonya traveled:
20-8=12
12x1000feet=12000feet
2. Find the time it took Sonya to travel this distance:
Starting time: 3:10
Finish time: 3:14
Difference= 4min
3. Use the speed formula: S=D/T
S=12000feet/4min
S=3000feet/min

Final answer:

Sonya traveled 12000 feet in 4 minutes, so her average speed is 3000 feet per minute. This calculation is reasonable when checking through dimensional analysis.

Explanation:

The subject of this question is average speed which is part of Physics topic in Mathematics. To solve the problem, we'll first figure out the distance Sonya traveled and the time it took. Sonya passed marker 20 at 3:14 P.M and marker 8 at 3:10 P.M, giving us 4 minutes. The markers are every 1000 feet, so from marker 8 to 20, she traveled (20-8) * 1000 = 12000 feet. Therefore, Sonya's average speed is the distance traveled divided by the time it took which is 12000 feet / 4 minutes = 3000 feet/minute.

For dimensional analysis, we can check the reasonableness of our result. The units of speed should be in a form of distance over time. In our answer, we have feet per minute, which fits the requirement, so our calculation is reasonable.

Learn more about Average speed here:

brainly.com/question/12322912

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If a seed is planted, it has a 75% chance of growing into a healthy plant.If 6 seeds are planted, what is the probability that exactly 1 doesn't grow?

Answers

Final answer:

Using the binomial probability formula, the probability that exactly 1 out of 6 seeds doesn't grow is approximately 0.119 or 11.9%.

Explanation:

This question revolves around the concept of binomial probability. The binomial distribution model is an appropriate statistical model here since there are a fixed number of trials (6 seed plantings), each trial (seed planting) is independent, and each trial results in one of two outcomes: success (plant grows) or failure (plant doesn’t grow).

The binomial probability formula is P(X=k) = C(n, k)*(p^k)*(q^(n-k)), where 'n' is the number of trials (6 in this case), 'k' is the number of 'successes' we're interested in (5 in this case, since we want only 1 seed - out of 6 - not to grow), 'p' is the probability of success, and 'q' is the probability of failure.

Here, to calculate the probability, p (probability of successful growth) is 0.75 and q (probability of not growing) is 0.25 (= 1 - 0.75).

So, P(5 plants grow and 1 doesn’t) = C(6, 5) * (0.75^5) * (0.25^1) = 0.119.

So, the probability that exactly 1 out of 6 seeds does not grow is approximately 0.119 or 11.9%. This scenario is also known as binomial distribution scenario.