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mixer [17]
2 years ago
11

The height of a cone-shaped container is 15 centimeters and its radius is 14 centimeters. Kate fills the container completely wi

th honey. Every day Kate uses 40 cubic centimeters of honey from the container to make honey cookies. After how many days will the container be completely empty? Round your answer to the nearest whole number. (Use π = 3.14.)
Mathematics
2 answers:
lesantik [10]2 years ago
7 0
The volume of the cone with radius r=14 cm and height h=15 cm is,
V= \frac{1}{3}  \pi r^2h =  \frac{1}{3}  \pi *14^2*15 = 3077.2~cm^3

Each day 40 cm^3 is subtracted from the volume. So the volume of honey left after [d] number of days would be the starting volume minus 40 times number of days passed.
V left=V start-40*d
V left = 3077.2 - 40d

It asks when the volume will be empty, The volume left is zero after how many days?
0 = 3077.2 - 40d
d=76.93 days,  or 80 days rounding to whole numbers.
7nadin3 [17]2 years ago
3 0

Answer:


Step-by-step explanation:

the answer would actually be 76.93 when rounded it comes to 77 so that would be the answer

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Slope 8 ​; through ​(4​,3​)
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Answer:

y=8x-29

Step-by-step explanation:

Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.

Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).

x=4, y=3... so 3=8(4)+b

Now you can solve for the variable b to find the y-intercept.

3=8(4)+b, multiply...

3=32+b, subtract 32 on both sides...

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Therefore, the y-intercept, or b, is -29.

The equation would be y=8x-29

7 0
2 years ago
If a coin has been altered so that the probability of heads coming up is 3/10, then the probability of tails coming up is also 3
soldier1979 [14.2K]
False. In a coin, there are 2 possible out comes i.e. a head and a tail. if p is the probability of one side coming up, then the probability of the other side comin up will be q = 1 - p.

Therefore, if the probability of head coming up is 3/10, the probability of tail coming up will be 1 - 3/10 = 7/10.
8 0
3 years ago
Can someone help please ?
forsale [732]

Answer:

5 is the hight

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
-8+y=14
Sati [7]

Answer:

y = 22

Step-by-step explanation:

we want to move the -8 to the other side, so 14+8 = 22

y = 22

check: -8 + 22 = 14

8 0
2 years ago
Read 2 more answers
Help on this question
malfutka [58]

Step-by-step explanation:

always write what you know

circumference

U = 2 x pi x r

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U = 39.25

rearrange and solve for r

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2r = d

6 0
2 years ago
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