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3 years ago

Simplify x^4+100^4 polynomials

Mathematics

1 answer:

LiRa [457]3 years ago

7 0

Answer:

$Solution,$

$x^4+100^4$

$x^4+100000000$

Step-by-step explanation:

$Thank \: you!!!!$

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Dr. Hall files 120 insurance claims every month. If 5% of those claims are rejected how many total claims are rejected?

aalyn [17]

Answer:6

Step-by-step explanation:

0.05 x 120=6

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3 years ago

If AABC ~ ADEF, which pair of angles are always congruent?

RUDIKE [14]

Answer:

2nd answer choice

Step-by-step explanation:

they are congruent aka equal or in the same spot

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3 years ago

The cost of a long-distance phone call is $0.45 for the first minute and $0.36 for each additional minute. If the

motikmotik

Answer:

19 minutes

Step-by-step explanation:

cost = .45+.36m

If we take 6.93 minus .45 for the minute, we get 6.48. We take 6.48 and divide it by .36 for each additional minute, which is 18. We take the 18 and add one more minute to it since .45 was covered for the first minute.

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3 years ago

A cliff diver dives from 17m above the water. The diver’s height above the water, h(t) in metres after t seconds is modelled by

Schach [20]

Answer:

If you want to round to the nearest hundredths, the answer is 1.73 seconds.

Step-by-step explanation:

So we want to solve h(t)=5 for t because this will give us the time,t, that the diver was 5 m above the water.

$-4.9t^2+1.5t+17=5$

My goal here in solving this equation is to get it into $at^2+bt+c=0$ so I can use the quadratic formula to solve it.

The quadratic formula is $t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$ .

So let's begin that process here:

$-4.9t^2+1.5t+17=5$

Subtract 5 on both sides:

$-4.9t^2+1.5t+12=0$

So let's compare the following equations:

$-4.9t^2+1.5t+12=0$

$at^2+bt+c=0$ .

$a=-4.9$

$b=1.5$

$c=12$

Now we are ready to insert in the quadratic formula:

$t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$t=\frac{-1.5 \pm \sqrt{(1.5)^2-4(-4.9)(12)}}{2(-4.9)}$

I know this can look daunting when putting into a calculator.

But this is the process I used on those little calculators back in the day:

Put the thing inside the square root into your calculator first. I'm talking about the $(1.5)^2-4(-4.9)(12)$ .

This gives you: 237.45

Let's show what we have so far now:

$t=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$t=\frac{-1.5 \pm \sqrt{(1.5)^2-4(-4.9)(12)}}{2(-4.9)}$

$t=\frac{-1.5 \pm \sqrt{237.45}}{2(-4.9)}$

I'm going to put the denominator, 2(-4.9), into my calculator now.

$t=\frac{-1.5 \pm \sqrt{237.45}}{-9.8}$

So this gives us two numbers to compute:

$t=\frac{-1.5 - \sqrt{237.45}}{-9.8} \text{ and } t=\frac{-1.5+\sqrt{237.45}}{-9.8}$

I'm actually going to type in -1.5-sqrt(237.45) into my calculator, as well as, -1.5+sqrt(237.45).

$t=\frac{-16.90941271}{-9.8} \text{ and } t=\frac{13.90941271}{-9.8}$

We are going to use the positive number only for our solution.

So we have the answer is whatever that first fraction is approximately:

$t=\frac{-16.90941271}{-9.8}=1.725450277$ .

The answer is approximately 1.73 seconds.

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4 years ago

13 over 3 converting improper fractions to mixed number

Rzqust [24]

Answer:

4 1/3

Step-by-step explanation:

Four three's fit into 13 so that would equal 12 and the left over is one so that would be 4 and 1/3

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3 years ago