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Stels [109]
3 years ago
15

Simplify 7^6. 7^5.(4 points)

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

7^11

Step-by-step explanation:

You keep the base the same while just adding the exponents.

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A rectangular prism has a length of inch and a width of inch. The
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Resisting kakwkskkkdkeoeod
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3 years ago
Mike watches how the pendulum swings in his clock. He notices that it swings 1 time every 2 seconds. How long will it take to sw
frosja888 [35]

Answer: 10 seconds

Step-by-step explanation: The time it takes is exactly double its swing. 5 times 2 = 10

4 0
3 years ago
Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)
arlik [135]

Answer:

y = \frac{4}{3} x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x ← is in slope- intercept form

with slope m = - \frac{3}{4} , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{3}{4} } = \frac{4}{3} , then

y = \frac{4}{3} x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = \frac{4}{3} x - 12 ← equation of perpendicular line

4 0
3 years ago
Simplify (-5) + (-4) + (7).<br> 0-2<br> 06<br> O<br> 8<br> 16
stich3 [128]

Answer:

- 2

Step-by-step explanation:

The question is - 5 + - 4 + 7

You do addition first.

-4 + 7 = 3

So now we have - 5 + 3

-5 + 3 = - 2

5 0
3 years ago
A recent survey found that 70% of all adults over 50 wear
lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 10, p = 0.7

What is the probability that at least six wear glasses?

P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497

There is an 84.97% probability that at least six wear glasses.

5 0
3 years ago
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