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2 years ago

What is the surface area and volume ?

Mathematics

1 answer:

Ugo [173]2 years ago

7 0

The surface area is 1000 and the volume is 49

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2. A boy runs at a speed of 10m/s. How long does he take to cover a distance of 1.5 km?<br> 'D Focus

jek_recluse [69]

1500m=1.5km so 1500 divided by 10= 150s it takes 150s to cover a distance of 1.5km

5 0

3 years ago

A rectangular prism has a length of 1 1/2 meters, a width of 3 meters, and a height of 5 1/2 meters.

denpristay [2]

Answer:

13m

Step-by-step explanation:

because i use calculator soup

4 0

2 years ago

Read 2 more answers

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

Can anyone answer this for me?

Sunny_sXe [5.5K]

Answer:

y = 2 - $x^{2}$

Step-by-step explanation:

$x^{2}$ results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

8 0

2 years ago

If (2x,3y) =(8, 9),find x and y

solong [7]

Answer:

x = 4, y = 3

Step-by-step explanation:

Equating corresponding coordinates , gives

2x = 8 ( divide both sides by 2 )

x = 4

and

3y = 9 ( divide both sides by 3 )

y = 3

5 0

2 years ago