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2 years ago

Solve the following inequalities and give the solutions in both set and interval notations.

Mathematics

1 answer:

nikdorinn [45]2 years ago

5 0

4y + 3 > 23 subtract 3 from both sides

4y > 20 divide both sides by 4

y > 5

-2y > -2 divide both sides by -2 (the order changes)

y < 1

(-oo, 1) ∪ (5, oo)

Upvote

SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

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I have 10 dollars and my brother has 25 dollars. How much will I have if he gives me 15 dollars?

kotykmax [81]

you will have 25 dollars 10+15=25

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3 years ago

Read 2 more answers

You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble

andre [41]

Make it a fraction
7/25 * 4/4 = 28/100
0.28 = 28 percent

There is a 28 percent chance the next marble will be red

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3 years ago

natta225 [31]

V=1/3(pi)(r)^2(h)
V=1/3(pi)(9)^2(15)
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Then multiply all numbers in parentheses:
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Hope this Helps!

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3 years ago

What is the distance around a triangle with the sides measuring 2⅛, 3½ and 2½?

Marta_Voda [28]

So when you have data given this kind of form... you should convert to decimal first.
So that would be:
a ≈ 2.12
b = 3.5
c = 2.5
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7 0

3 years ago

The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t

alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

$C'(t) = 0$

In this problem

$C(t) = \frac{100t}{t^{2} + 25}$

Applying the quotient derivative formula

$C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}$

A fraction is equal to zero when the numerator is 0. So

$-100t^{2} + 2500 = 0$

$100t^{2} = 2500$

$t^{2} = 25$

$t = \pm \sqrt{25}$

$t = \pm 5$

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

4 0

3 years ago