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Natasha2012 [34]
1 year ago
13

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

Mathematics
2 answers:
Nezavi [6.7K]1 year ago
4 0

Answer:

q = 5 startroot 5 endroot

q = Negative 5 startroot 5 endroot

Step-by-step explanation:

q² - 125 = 0

q² = 125

q = +/- sqrt(125)

q = +/- 5sqrt(5)

AlladinOne [14]1 year ago
3 0

Answer:

5\sqrt{5} and -5\sqrt{5}

Step-by-step explanation:

We want to find roots of the function: f(q)=q^2-125. The roots are the numbers that make the function f(q) = 0. So set the expression equal to 0:

q^2-125=0

Add 125 to both sides:

q^2=125

Square root both sides:

q= +/- \sqrt{125} = +/- \sqrt{5^2*5} = +/- 5\sqrt{5}

So, the answers are 5\sqrt{5} and -5\sqrt{5}. (Sorry, I can't tell what the answer choices are)

Hope this helps!

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Round 287.9412 to the nearest tenth. Do not write extra zeros.
goldenfox [79]
Salutations!

<span>Round 287.9412 to the nearest tenth. 

Lets solve this!

To round to the nearest tenth, you need to know the tenth place--------

In the number, 287.9412, nine is in the tenth place. You need also make sure whether the number next to 9 is greater than 5 or not. 

</span><span>287.9412 =287.941=287.94=287.9=288=290

Thus, your answer is 290.

Hope I helped.
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Joint and Combined Variations
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10 * 450 / 404 * 36 / 40 = <span> <span> <span> 10.0247524752 liters

Source:
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2 years ago
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This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit
Elena-2011 [213]

see the attached figure to better understand the problem

we know that

The volume of the cone is equal to

V=\frac{1}{3} \pi r^{2} h

in this problem

r=\frac{6}{2} =3\ ft\\ \\ h=15\ ft

Substitute the values in the formula above

V=\frac{1}{3}* \pi* 3^{2}* 15\\ \\ V=45\pi \ ft^{3}

therefore

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1 year ago
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How does the value of 874.12 change if the decimal point is moved two places to the left?
Rashid [163]

Answer:

C

Step-by-step explanation:

When you move the decimal either to the right or the left, you change the value. To divide any number by 10, move the decimal point one place to the left. For example:  

0.7

7

70

700

7,000

So, for any decimal, when you move the decimal point one place to the right, you multiply that number by 10.

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2 years ago
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According to Masterfoods, the company that manufactures M&amp;M’s, 12% of peanut M&amp;M’s are brown, 15% are yellow, 12% are re
Ipatiy [6.2K]

Answer:

a) 0.88

b) 0.35

c) 0.0144

d) 0.2084

e) 0.7916

Step-by-step explanation:

a) The probability of a peanut being brown is 12/100 = 0.12. Hence the probability of it not being brown is 1-0.12 = 0.88

b) 12% of peanuts are brown, 23% are blue. So 35% are either blue or brown. The probability of a peanut being blue or brown is, therefore 35/100 = 0.35.

c) 12% of peanuts are red, so the probability of a peanut being red is 12/100 = 0.12. In order to calculate the probability of 2 peanuts being both red, we can assume that the proportion doesnt change dramatically after removing one peanut (because the number of peanuts is absurdly high. We can assume that we are replenishing the peanuts). To calculate the probability of 2 peanuts being both red, we need to power 0.12 by 2, hence the probability is 0.12² = 0.0144.

d) Again, we will assume that the probability doesnt change, because we replenish. The probability of a peanut being blue is 0.23. The probability of it not being blue is 0.77, so the probability of 6 peanuts not being blue is obtained from powering 0.77 by 6, hence it is 0.77⁶ = 0.2084

e) The event 'at least one peanut is blue' is te complementary event of 'none peanuts are blue', so the probability of this event is 1- 0.2084 = 0.7916

4 0
2 years ago
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