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liq [111]
3 years ago
8

Help Please I'm taking my finals review

Mathematics
1 answer:
lesantik [10]3 years ago
4 0
If b=2 and c=3,  then
a= √(3²-2²) = √(9-4) = √5

If a=3 and c=6,  then
b= √(6²-2²) = √(36-9) = √27 = 3√3

If a=4 and b=6,  then
c= √(4²+6²) = √(16+36) = √52 = 2√13
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26. In a neighborhood donut shop, one type of donut has 570 calories, seven types of donuts have 600 calories, seven types of do
creativ13 [48]

we have

1 donut -----> 570 calories

7 donuts ----> 600 calories

7 donuts ----> 510 calories

4 donuts ----> 480 calories

3 donuts ----> 400 calories

so

total donuts=1+7+7+4+3=22 donuts

the means is equal to

mean=(1*700+7*600+7*510+4*480+3*300)/22

mean=11,460/22

<h2>mean=521 calories</h2>

Part 2

Find out the median

order the data set from less to greater

400 400 400 480 480 480 480 510 510 510 510 510 510 510 570 600 600 600 600 600 600 600

the median is the middle of the data set

400 400 400 480 480 480 480 510 510 510 510 510 510 510 570 600 600 600 600 600 600 600

<h2>the median is 510 calories</h2>

8 0
1 year ago
Nobcfgfcxfcgvhfhgvfhgv
Inga [223]

Answer:

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Simplify the expression: (a/b)^k
PilotLPTM [1.2K]

Answer:

A^k/b^k

Step-by-step explanation:

A/b^k=a^k/b^k

3 0
3 years ago
Find an equation of the sphere with center (4, −12, 8) and radius 10. use an equation to describe its intersection with each of
xxMikexx [17]
<span>Sphere: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 Intersection in xy-plane: (x - 4)^2 + (y + 12)^2 = 36 Intersection in xz-plane: DNE Intersection in yz-plane: (y + 12)^2 + (z - 8)^2 = 84 The desired equation is quite simple. Let's first create an equation for the sphere centered at the origin: x^2 + y^2 + z^2 = 10^2 Now let's translate that sphere to the desired center (4, -12, 8). To do that, just subtract the center coordinate from the x, y, and z variables. So (x - 4)^2 + (y - -12)^2 + (z - 8)^2 = 10^2 (x - 4)^2 + (y - -12)^2 + (z - 8)^2 = 100 Might as well deal with that double negative for y, so (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 And we have the desired equation. Now for dealing with the coordinate planes. Basically, for each coordinate plane, simply set the coordinate value to 0 for the axis that's not in the desired plane. So for the xy-plane, set the z value to 0 and simplify. So let's do that for each plane: xy-plane: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (x - 4)^2 + (y + 12)^2 + (0 - 8)^2 = 100 (x - 4)^2 + (y + 12)^2 + (-8)^2 = 100 (x - 4)^2 + (y + 12)^2 + 64 = 100 (x - 4)^2 + (y + 12)^2 = 36 xz-plane: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (x - 4)^2 + (0 + 12)^2 + (z - 8)^2 = 100 (x - 4)^2 + 12^2 + (z - 8)^2 = 100 (x - 4)^2 + 144 + (z - 8)^2 = 100 (x - 4)^2 + (z - 8)^2 = -44 And since there's no possible way to ever get a sum of 2 squares to be equal to a negative number, the answer to this intersection is DNE. This shouldn't be a surprise since the center point is 12 units from this plane and the sphere has a radius of only 10 units. yz-plane: (x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (0 - 4)^2 + (y + 12)^2 + (z - 8)^2 = 100 (-4)^2 + (y + 12)^2 + (z - 8)^2 = 100 16 + (y + 12)^2 + (z - 8)^2 = 100 (y + 12)^2 + (z - 8)^2 = 84</span>
6 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g
mr Goodwill [35]

Answer:

A

Step-by-step explanation:

It is not B because 7x^2 means multiplying the equation by seven. It isn't C because that would move the graph DOWN seven units. And it's not D because when it is in parenthesis like that, it means that it is a horizontal shift, not vertical.

4 0
3 years ago
Read 2 more answers
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