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FromTheMoon [43]

3 years ago

5

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax2 about the y-a

xis. If the dish is to have a 20-foot diameter and a maximum depth of 2 feet, find the value of a and the surface area (in square feet) of the dish.

1 answer:

Blizzard [7]3 years ago

7 0

Answer:

Step-by-step explanation:

See attached file .

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Carlos ran a concession stand last Saturday and made $63.90 from selling a total of 41 hot dogs and hamburgers. Each hot dog sol

Keith_Richards [23]

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Step-by-step explanation:

Carlos ran a concession stand last Saturday and made $63.90 from

a total of 41 hot dogs and hamburgers. Each hot dog sold for $1.40

and each hamburger sold for $2.70

1. The number of hot dogs is x, and hamburgers is y

2. He made $63.90 from a total of 41 hot dogs and hamburgers

3. Each hot dog sold for $1.40 and each hamburger sold for $2.70

We need to find the number of hot dogs and hamburgers, that were sold

∵ The number of hot dogs is x, and hamburgers is y

∵ He sold 41 hot dogs and hamburgers

∴ x + y = 41 ⇒ (1)

∵ Each hot dog sold for $1.40 and each hamburger sold for $2.70

∵ He sold x hot dogs and y hamburgers

∵ He made $63.90 from sold them

∴ 1.4 x + 2.7 y = 63.9 ⇒ (2)

Let Us solve the system of equations to find x and y

Multiply equation (1) by -2.7 to eliminate y

∵ (-2.7)x + (-2.7)y = (-2.7)(41)

∴ -2.7 x - 2.7 y = -110.7 ⇒ (3)

- Add equations (2) and (3)

∴ -1.3 x = -46.8

- Divide both sides by -1.3

∴ x = 36

Substitute the value of x in equation (1) to find y

∵ x + y = 41 ⇒ (1)

∴ 36 + y = 41

- Subtract 36 from both sides

∴ y = 5

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Learn more:

You can learn more about system of equations in brainly.com/question/3739260

#LearnwithBrainly

6 0

3 years ago

A math club receives a 120 discount on calculators. If each

mixas84 [53]

Answer:

$780

Step-by-step explanation:

15x60 = 900 900 - 120 = $780

6 0

3 years ago

$500 principle earning 4% compounded quarterly after 6 yrs

Cerrena [4.2K]

Answer:

The amount of interest earned would be $134.87 for a total of $634.87 after 6 years.

5 0

3 years ago

Read 2 more answers

Find the circumference of the circle and show work

expeople1 [14]

Answer:

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

<u>Circumference</u><u> </u><u>of </u><u>a </u><u>circle </u><u>is </u><u>given </u><u>by </u>

<u> $C = 2\pi \: r$ </u>

Given - <u>Diameter</u><u> </u><u>of </u><u>circle </u><u>=</u><u> </u><u>1</u><u>0</u><u> </u><u>yards</u>

$radius = \frac{diameter}{2} = \frac{10}{2} \\ \\ \implies \: 5 \: yards$

now ,

<u>substituting</u><u> </u><u>the </u><u>value </u><u>of </u><u>r </u><u>in </u><u>the </u><u>formula </u><u>of </u><u>circumference</u><u> </u><u>~</u>

$C = 2 \times \frac{22}{7} \times 5 \\ \\ \implies \: C = \frac{220}{7} \\ \\ \implies \: C = 31.43 \: yards \: (approx.)$

hope helpful :D

4 0

2 years ago

Read 2 more answers

Of interest is to test the hypothesis that the mean length of all face-to-face meetings and the mean length of all Zoom meetings

Goshia [24]

Answer:

Null hypothesis: $\mu_1 = \mu_2 = ..... \mu_j , j =1,2,....,n$

Alternative hypothesis: $\mu_i \neq \mu_j , i,j =1,2,....,n$

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.

Step-by-step explanation:

For this case we wnat to test if all the mean length of all face-to-face meetings and the mean length of all Zoom meetings are the same. So then the system of hypothesis are:

Null hypothesis: $\mu_1 = \mu_2 = ..... \mu_j , j =1,2,....,n$

Alternative hypothesis: $\mu_i \neq \mu_j , i,j =1,2,....,n$

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.

6 0

3 years ago