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zalisa [80]
2 years ago
12

A cube-shaped tank that measures 4.64.6 meters on each side is full of water. If some water is drained to fill a cone with a hei

ght of 66 meters and a radius of 2.52.5 meters, approximately how much water is left in the tank? Use 3.143.14 for ππ and round your answer to the nearest tenth. The amount of water left in the tank is approximately __________ cubic meters.
Mathematics
1 answer:
rusak2 [61]2 years ago
3 0

Answer:

The amount of water left in the tank is approximately 58.1 cubic meters

Step-by-step explanation:

step 1

Find the volume of the a cube shape tank

The volume is equal to

V=b^{3}

we have

b=4.6\ m

substitute

V=4.6^{3}=97.336\ m^{3}

step 2

Find the volume of cone

The volume is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=2.5\ m

h=6\ m

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2.5)^{2}(6)

V=39.25\ m^{3}

step 3

Find the difference of the volumes

97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}

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What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)
SIZIF [17.4K]

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function  

f(t) = P(1 - \frac{r}{100})^{t} ........... (1)

Comparing this equation with the original equation given as

f(x) = 2(0.95)^{x} ............ (2) we get,

(1 - \frac{r}{100}) = 0.95

⇒ \frac{r}{100} = 0.05

⇒ r = 5%.

Therefore, the decay rate is 5%. (Answer)

7 0
3 years ago
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xxMikexx [17]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
kylee bought a pack of 12 cookies. one-third if the cookies are peanut butter. How many of the cookies in the pack are peanut bu
IceJOKER [234]

Answer:

The number of packs are peanuts butter are 4 .

Step-by-step explanation:

As given

Kylee bought a pack of 12 cookies.

one-third if the cookies are peanut butter.

Thus

Number\ of\ packs\ of\ peanuts\ butter = \frac{1}{3}\times Total\ number\ of\ packs

Number\ of\ packs\ of\ peanuts\ butter = \frac{1}{3}\time 12

Number\ of\ packs\ of\ peanuts\ butter = \frac{12}{3}

Number of packs are peanut butter = 4

Therefore the number of packs are peanuts butter are 4 .

4 0
3 years ago
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Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund
lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

\sigma=\sqrt{\frac{p*(1-p)}{n} }

If n=1139 and p =0.96, the standard deviation is:

\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836

The minimum and maximum usual values are:

\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n

\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62

5 0
3 years ago
Whats wrong in this equation ?
Inga [223]
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________


Turn -2 into a fraction and find the gcf of -2 and 6:

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________

1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6

Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.

5/1 • 1/5x = -13/6 • 5/1
x = 65/6

Then, simplify

65/6} 10.83 or 10 83/100
6 0
3 years ago
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