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2 years ago

Can someone please help me on this!!

Mathematics

1 answer:

pashok25 [27]2 years ago

5 0

Answer:

(Look at image)

Step-by-step explanation:

(Also look at image)

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Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by

Anna11 [10]

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

Read more about quadratic functions at:

brainly.com/question/1497716

7 0

2 years ago

150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w

alexandr1967 [171]

Answer:

The parents who didn't answer with either naughty and nice are 6.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

So, as given in question:

70% said that their kids are naughty.

26% said that their kids are nice.

So, to get the percentage of parents who didn't answer we subtract.

Thus, the percentage of parents who didn't answer with either naughty and nice:

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many parents didn't answer we calculate the percentage of the total who didn't answer:

Total parents surveyed = 150.

Parents who didn't answer = 4% of the total parents surveyed.

$Parents\ who\ didn't\ answer = 4\% of 150.$

$Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.$

$Parents\ who\ didn't\ answer = \frac{600}{100}.$

$Parents\ who\ didn't\ answer = 6.$

Therefore, the parents who didn't answer with either naughty and nice are 6.

8 0

3 years ago

Emerson struck out 112 times in 350 at-bats. Write a proportion to represent the percent of strike outs per at-bats.

Alex Ar [27]

Answer:

32% of his bats were stuck out.

Step-by-step explanation:

emerson struck out 112 times out of the total of 350 times. therefore, this can be represented as the fraction 112/350, which can be simplified to 8/25.

8 0

3 years ago

4. The volume of the ball is 3052.08. What is its radius?

Olin [163]

Answer:

Step-by-step explanation:

v=4pi*r^3/3=3052.08

4*3.14/3*r^3=3052.08

4.2*r^3=3052.08

r^3=3052.08/4.2=726.7

so r ≈9

7 0

3 years ago

Jaylah started with $200 in her savings account to go to Disneyland. She wanted to increase her savings so she started babysitti

SCORPION-xisa [38]

Answer:

Initial Value= $200, Rate of Change= $10 per hour (or just $10)

Step-by-step explanation:

The initial value is what Jaylah started with, and in this case, she starts with $200.

The rate of change is how much Jaylah earns, in this case per hour. It says that she earns $10 an hour, so the rate of change is $10.

3 0

2 years ago