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lorasvet [3.4K]

2 years ago

9

1. Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyr

amid is 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 2 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work

2 answers:

Cloud [144]2 years ago

4 0

Answer:

Devin will need 9 cubes of wax.

Step-by-step explanation:

To find the volume of the pyramid, you use (area of the base)* height of the pyramid divided by 3. You know the volume of a cube of wax is 32 cm^3. The volume of your pyramid is 270 cm^3. 270/32=8.4375.

Once you get 8.4375 cubes, you round to the next whole number, which is nine.

lesya [120]2 years ago

4 0

Answer:

Devin will need 9 cubes of wax.

Step-by-step explanation:

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The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time

cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

$1\leq t\geq \sqrt{2}$

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

$h =20-5t^{2}$ -----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height $h = 15m$

Put height value in equation 1

$15 =20-5t^{2}$

$5t^{2} =20-15$

$5t^{2} =5$

$t^{2} =1$

$t =\pm1$

We know that the time is always positive, therefore $t=1$

when the stuntman is 10m above the ground.

height $h = 10m$

Put height value in equation 1

$10 =20-5t^{2}$

$5t^{2} =20-10$

$5t^{2} =10$

$t^{2} =\frac{10}{5}$

$t^{2} =2$

$t=\pm\sqrt{2}$

$t=\sqrt{2}$

Therefore ,time interval of camera film him is $1\leq t\geq \sqrt{2}$

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2 years ago

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The answer would be 1
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2 years ago

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Answer:

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Step-by-step explanation:

The selling price of a $1000 bond = $99.875

The brokerage fee = 5.5 %

Now, 5.5% of $99.875 = $\frac{5.5}{100} \times 99.875 = 5.493$

So, the brokerage fee = $5.493

Now, to find out the total cost of the bond:

Total Cost = The selling Price + Brokerage Price

= $99.875 + $5.493

= $105.368

or, the total price of the $1000 bond is $ 105.368.

Hence, the total cost of the bond is none of the given choices.

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2 years ago

The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each d

Kruka [31]

Answer:

The probability that exactly 15 defective components are produced in a particular day is 0.0516

Step-by-step explanation:

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We are given that The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20.

So, $\lambda = 20$

we are supposed to find the probability that exactly 15 defective components are produced in a particular day

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Substitute the values in the formula :

$P(X=15)=e^{-20} \frac{20^{15}}{15!}$

$P(X=15)=e^{-20} \frac{20^{15}}{15!}$

$P(X=15)=0.0516$

Hence the probability that exactly 15 defective components are produced in a particular day is 0.0516

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Lubov Fominskaja [6]

So wee need to find x

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2 years ago

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