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3 years ago

Solve the equation for w. x=w/a

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Rewrite the equation as w/a=x

w/a=x

Multiply both sides of the equation by a

w=x*(a)

Multiply x by a

w=xa

<em>Hope this helped!</em>

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SHORT ANSWER Question 7 Using the data set below, find the mean absolute deviation (MAD). 4,6,6,7,7,8,8,8,9 Steps to find Mean A

Dmitry_Shevchenko [17]

Answer:

1.1111111111111

Step-by-step explanation:

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3 years ago

4/7, solve for q, explain too please

Ivahew [28]

Answer:

q = 6

Step-by-step explanation:

3/5 = q/10

10 ÷ 5 = 2

3 × 2 = 6

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3 years ago

Find f\left(-1\right)f(−1) if f\left(x\right)=f(x)=0x^3+x <br> 3<br> +2x^2x <br> 2

snow_lady [41]

Answer:

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Step-by-step explanation:

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3 years ago

The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as

pantera1 [17]

Answer:

The mass of the bag of sand must be equal to $m=12,000\pi\ g$

Step-by-step explanation:

<u><em>The complete question is</em></u>

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platform on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.

The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as a cylinder with height 25 cm and radius 8 cm.

In terms of pi, what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

step 1

Find the volume of the gold statue

The volume of a cylinder is equal to

$V=\pi r^{2}h$

substitute the given values

$V=\pi (8)^{2}(25)$

$V=600\pi\ cm^3$

step 2

Find the mass of gold

Remember that the mass is equal to multiply the density by the volume

$m=(20)600\pi\\m=12,000\pi\ g$

step 3

what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

we know that

The mass of the bah of sand must be equal to the mass of the statue

therefore

The mass of the bag of sand must be equal to

$m=12,000\pi\ g$

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3 years ago

A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago