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3 years ago

NEED HELP FAST PLZ!!!!!!!

Mathematics

1 answer:

finlep [7]3 years ago

5 0

Answer:

y = {-2, 6}

Step-by-step explanation:

The fastest help is afforded by a graphing calculator. It shows you the y-values at the points of intersection are -2 and +6.

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Find the standard equation for the ellipse, using the given characteristic or characteristics. vertices:(0,+-7) foci: (0,+-√33)

Alexxx [7]

Answer:

$=\frac{x^2}{16} +\frac{y^2}{49}=1$

Step-by-step explanation:

The equation of this ellipse is

$\frac{(x-h)^2}{b^2} +\frac{y-k)^2}{a^2} =1$

for a vertical oriented ellipse where;

(h,k) is the center

c=distance from center to the foci

a=distance from center to the vertices

b=distance from center to the co-vertices

You know center of an ellipse is half way between the vertices , hence the center (h,k) of this ellipse is (0,0) and its is vertical oriented ellipse

Given that

a= distance between the center and the vertices, a=7

c=distance between the center and the foci, c=√33

Then find b

$a^2-b^2=c^2\\\\b^2=a^2-c^2\\\\\\b^2=7^2-(\sqrt{33} )^2\\\\\\b^2=49-33=16\\\\\\b^2=16$

The equation for the ellipse will be

$\frac{(x-0)^2}{16} +\frac{(y-0)^2}{49} =1\\\\\\=\frac{x^2}{16} +\frac{y^2}{49} =1$

8 0

3 years ago

A cube has a surface area of 96 square inches. What is the volume of the cube

denpristay [2]

The formula for the surface area of a cube is: SA= 6((length of side)^2).
So if the surface area is 96, first divide by 6. And you get 16. Next you find the square-root of 16 and get 4. So the length of each side is 4 inches.
The formula for volume of a cube is V=(length of side)^3.
So 4 raised to the third power is: 4*4*4.
The volume of the cube is 64 inches cubed.

4 0

3 years ago

Eight hundred and six hundredths in decimal form

Assoli18 [71]

Step-by-step explanation:

800.00 and .06 is both of them in decimal form

them together: 800.06

4 0

2 years ago

Suppose a farmer has 1000 yards of fencing to enclose a rectangular field. what dimensions will yield the largest area?

Stolb23 [73]

1,000/4=250
250 yards of fencing on each side.
250 yards by 250 yards.

6 0

3 years ago

As a store manger you would like to find out the average time it takes to unload the truck which delivers the merchandise for yo

Georgia [21]

Answer:

The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

Step-by-step explanation:

We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 35

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.975([tex]t_{975}$ ). So we have T = 2.0322

The margin of error is:

M = T*s = 2.0322*30 = 60.97

The upper end of the interval is the sample mean added to M. So it is 204 + 60.97 = 264.97

The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

4 0

3 years ago

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