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Kryger [21]
3 years ago
13

What is the volume of this cylinder?

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

Answer:

150.72 mm^3

Step-by-step explanation:

volume = (pi)(r^2)h

volume = 3.14 * (4 mm)^2 * 3 mm

volume = 3.14 * 16 mm^2 * 3 mm

volume = 150.72 mm^3

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From first principle find the derivative of logx​
Archy [21]

Hello!

\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10}  }

Recall that:

logx can be rewritten as:

log_{10}x

Use the equation for the derivative of a log expression:

\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'

Substitute in the values in the expression:

logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}

4 0
2 years ago
Ethan purchased a container of sports drink that contains 300 calories. The label says that 80% of the calories are from carbohy
MA_775_DIABLO [31]
240 each 10 percent is 30 calories multiply them by ten gets you 300
7 0
3 years ago
HELP PLEASE WILL LEAVE GOOD RATING
Arisa [49]

Answer:

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3 0
3 years ago
An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
Water flows on the Amazon river near the cachoeira de Santuario waterfalls at a velocity 75 meters per second. If a low height r
zysi [14]

Answer:

7.5 MW

Step-by-step explanation:

The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:

Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)

P = ρQgh

But Qh = Velocity(v) * volume(V).

Hence power = ρvgV

Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:

P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W

P = 7.5 MW

4 0
2 years ago
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