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irinina [24]
2 years ago
7

Which are the roots of the quadratic function f(q) = q2 – 125? Check all that apply.

Mathematics
2 answers:
NemiM [27]2 years ago
5 0

Answer:

The roots of the quadratic function is 5,-5.

Step-by-step explanation:

Given : Function f(q)=q^2-125

To find : The roots of the quadratic function?

Solution :

Step 1 - Write the function as equating to zero to find roots

q^2-125=0

Step 2 - Add 125 both side,

q^2-125+125=125

q^2=125

Step 3 - Taking the root both side,

\sqrt{q^2}=\sqrt{125}

q=\pm5

Therefore, The roots of the quadratic function is 5,-5.

adoni [48]2 years ago
3 0
The answer is positive 25 and negative 25
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Ken grew more by 17/40 of an inch

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A measuring cylinder of radius 3.5cm contains water to a height of 56cm. If this water is poured into a similar cylinder of radi
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Answer:

3.5cm

Step-by-step explanation:

Please see attached picture for full solution.

Volume of cylinder= πr²h, where r is the radius and h is the height.

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2 years ago
Jamie has a jar of coins containing the same number of nickels, dimes and quarters. The total value of the coins in the jar is $
Phantasy [73]

Answer:

4.4$

Step-by-step explanation:

Because nickels=dimes=quarters

⇒Nickels = 13.20$ ÷ 3= 4.4$

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3 0
2 years ago
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A 20-foot tall flagpole is leaning towards a house. If the flagpole makes an 85 degree angle with the ground and the angle of el
PolarNik [594]

Answer:

Approximately, there is a distance of 25,6 foot between the base of the flagpole to the house.

Step-by-step explanation:

We are given the following in the question:

Height of pole = 20 foot

Angle between pole and ground = 85 degrees

Angle of elevation from the base of the house to the top of the pole = 55 degrees

Then, the third angle of the triangle can be found as:

Angle sum property of triangle: The sum of the three angles of a triangle is 180 degrees.

x + 85 + 55 = 180\\x = 180 - 140\\x  = 40^\circ

Thus, by the sin rule, we can write:

\dfrac{\text{Distance from the base of the flagpole to the house}}{\sin 55} = \dfrac{20}{\sin 40}\\\\\Rightarrow \text{Distance from the base of the flagpole to the house} = 20\times \dfrac{\sin 55}{\sin 40}\\\\=20\times \dfrac{0.82}{0.64} = 25.625

Approximately, there is a distance of 25,6 foot between the base of the flagpole to the house.

4 0
2 years ago
Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once
svet-max [94.6K]

Given:

Total of raffle tickets = 30

Number of tickets Jason bought = 10

Number of prizes = 3

To find:

The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.

Solution:

Total of raffle tickets = 30

Number of prizes = 3

So, number of total outcomes is

n(S)=^{30}C_3

Number of tickets Jason bought = 10

So, number of favorable outcomes is

n(A)=^{10}C_3

Now,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{n(A)}{n(S)}

\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}

\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}

\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}

\text{Probability}=\dfrac{10\times 9\times 8}{30\times 29\times 28}

\text{Probability}=\dfrac{6}{203}

Therefore, the correct option is A.

7 0
2 years ago
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