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Lubov Fominskaja [6]
3 years ago
14

a cross section of a parabolic satellite dish can be modeled by the equation y=1/48x^2. How far from the vertex of the cross sec

tion? Explain
Mathematics
1 answer:
KiRa [710]3 years ago
7 0
<span>place vertex at (0,0) basic equation: x^2=4py p=distance from vertex to focus) y=at ends of parabolic cross section y = x^2/4p Given y= 1/48x^2 So, 1/48x^2=X*2/4p 1/4p = 1/48 4p = 48 p = 48/4 = 12 ft</span>
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Ms.Erma's oatmeal recipes calls for 2/5 of a cup of raisins.How many batches of cookies can she make if she has 4/5 cup of raisi
Alex73 [517]

Answer:

She can make 2 batches.

Step-by-step explanation:

Since she has 4/5 and only needs 2/5, she can make two batches. (2/5 is half of 4/5)

3 0
3 years ago
The amount of money, in dollars, in a savings account after x years is given by M(x) = 10,000(1.03)x. What does the value 1.03 r
mr Goodwill [35]

Answer:

Option B) There is a 3 percent increase in the savings account each year.

Step-by-step explanation:

we have

M(x)=10,000(1.03^x)

This is a exponential function of the form

y=a(b^x)

where

M(x) represent the amount of money in a saving account

x represent the number of years

a is the original deposit (y-intercept)

b is the base

r is the rate or percent increase

b=(1+r)

The percent increase per year is the base of the exponential function decreased by 1.

so

r=b-1

In this problem we have

a=\$10,000 ---> original deposit

b=1.03\\r=1.03-1=0.03=3\%

Therefore

The percent increase per year is 3%

7 0
3 years ago
Read 2 more answers
In an ordinary annuity, payments or
Elza [17]
B. End of each period
7 0
3 years ago
Find the solution set of the following equations: <br><br>2y=2x+7<br><br>X=y+2
kirill115 [55]

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}

Multiply -y+x=2 by 2:  -2y+2x=4

\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}

so adding

-2y+2x=4

+

\underline{2y-2x=7}

0=11

so the system of equations becomes

\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

3 0
2 years ago
The student council is making corsages to sell at prom. They spent $350 on materials such as
erma4kov [3.2K]

Answer:

The inequality 7.50c - 350 ≥ 700 can be used.

Step-by-step explanation:

Given that:

Amount spent on materials = $350

Amount the council needs to earn = $700

Selling price per corsage = $7.50

Number of corsages sold = c

Selling price per corsage * Number of corsages sold - amount spent on materials ≥ amount needs to be earned

7.50c - 350 \geq 700

Hence,

The inequality 7.50c - 350 ≥ 700 can be used.

3 0
3 years ago
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