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guajiro [1.7K]
3 years ago
13

a large balloon in the shape of a sphere is being filled with helium. The balloon has a radius of 1 foot. Helium costs $0.80 per

cubic foot. What is the cost of filling the balloon with helium?
Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

$3.35

Step-by-step explanation:

volume of balloon in the shape of sphere= 4/3 * pi * r^3 = 4.189 cubic foot

cost of 1 cubic foot of helium = 0.8

cost of 1 * 4.189 cubic foot of helium = 0.8 * 4.189 = 3.35

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What is the equation of the parabola with focus (-1,-1) and directrix y=1?
Inessa05 [86]

Answer:

B

Step-by-step explanation:

Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:

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

Hence, from the given focus & directrix, we have:

h = -1

k = -1

m = 0

b = 1

<em>We can plug them into the formula and arrange to get:</em>

<em>\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2\\\frac{(y - (0)x - 1)^2}{0^2 +1}=(x - (-1))^2 + (y - (-1))^2\\\frac{(y-1)^2}{1}=(x+1)^2+(y+1)^2\\y^2-2y+1=x^2+2x+1+y^2+2y+1\\-2y-2y=x^2+2x+1\\-4y=x^2+2x+1\\y=-\frac{1}{4}x^2-\frac{1}{2}x-\frac{1}{4}</em>

<em />

<em>B is the correct answer.</em>

8 0
3 years ago
Can someone help plz
Vanyuwa [196]

Answer: -1.13

Step-by-step explanation: I counted from -1.1 to -1.15

6 0
3 years ago
Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?
tia_tia [17]

Answer:

C

Step-by-step explanation:

To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct

A)

x=-4, y=2

-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8

x=0, y=8

-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0

B)

x=8, y=0

-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative

x=2, y=3

-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.

C)

x=0, y=4

-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works

x=4, y=6

-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.

D)

x=-2, y=5

-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16

x=-8, y=0

-2x+4y = -2 * (-8) + 4 *  (0) = 16. This works, but the other pair does not work, so D is incorrect

3 0
3 years ago
Assuming this survey was a good representation of 8th graders nationwide, if you surveyed 10,000 8th graders throughout the coun
Iteru [2.4K]

Answer: 10% of people that goes to school walk to school everyday

Step-by-step explanation:

3 0
3 years ago
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Is y=1/3x+3 a linear equation ​
dexar [7]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
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