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Lesechka [4]
2 years ago
15

(04.04 MC)

Mathematics
1 answer:
sp2606 [1]2 years ago
5 0

Answer:

y = x^2/ 60 + 15

=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].

Step-by-step explanation:

Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.

That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.

So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"

We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).

The equation that best describes the equation of the satellite is given as;

(x - h)^2 = 4a( y - k). ------------------------(1).

[Note that if (h,k) = (0,15), then, a = 15].

Hence, (x - 0)^2 = (4 × 15) (y - 15).

x^2 = 60(y - 15).

x^2 = 60y - 900.

60y = x^2 + 900.

y = x^2/ 60 + 15.

Hence, we will have;

(x - h)^2 = 4a[ (x^2/6 + 15) - k ].

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Ilya [14]

Answer:

Yearly = \$59.88

Step-by-step explanation:

Given

Monthly = \$4.99

Required

Determine the yearly cost

To do this, we multiply the monthly subscription by 12

Yearly = Monthly * 12

Yearly = \$4.99 * 12

Yearly = \$59.88

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4 0
3 years ago
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 blanket per d
Sauron [17]

Answer:

Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:

- Finding the number of days needed to crochet one (1) blanket:

\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}

1=

5

1

Crochet(Day)

Crochet(Day)=5∗1=5

So, she can crochet 1 blanket every 5 days.

- Finding the number of days needed to crochet three (3) blankets:

If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:

\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}

DaysNeeded=

Rate

NumberOfBlankets

DaysNeeded=

5

1

3

=3∗5=15

- Writing the inequality

If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:

AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays

AvailableDays=60-15=45DaysAvailableDays=60−15=45Days

So, the inequality will be:

s\leq 45s≤45

The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.

Have a nice day!

3 0
3 years ago
Louise bought 1 1/4 pounds of roast beef at $2.00 per pound and ​ 2 1/2 ​pounds of turkey at $1.50 per pound. What was her total
Travka [436]
To do this you would have to do $2.00 times 1 1/4 to get the price of roast beef and $1.50 times 2 1/2.
1)To make it easier change the fractions to decimals.
(1.25)&(2.5)
2) Then do $2.00(1.25) to get
$2.50 for roast beef
3) Then do $1.50(2.50) to get
$3.75 for turkey
4)then add them together
5)3.75+2.50=$6.25

6 0
2 years ago
Cassandra is creating an animated short film, and she needs 35 frames per second of film. He already has at least 200 frames.
scZoUnD [109]

Answer: C) f ≥ 35s - 200

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

She needs 35 frames (f) per second (s) ( we have to multiply the number of frames by the number of seconds) f ≥ 35s

She has already 200 frames (since we already have, we can subtract that to the needed frames per second)

f ≥35s -200  

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
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sveticcg [70]

Answer:

Oh lordy I hope this is correct

Step-by-step explanation:

Type: Irrational Numbers. Example: 1.17513698...

Type: Natural Numbers. Example: 56

Type: Rational Numbers: Example: 1/3

Type: Integers. Example: -5

Type: Whole Numbers. Example: 0

6 0
3 years ago
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