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Vitek1552 [10]
3 years ago
6

A fish tank contains 24 L of water. Water is added to increase the volume by 12.5%. What is the new volume of water in the tank?

Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

27 L

Step-by-step explanation:

To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.

24 + 3 = 27, which is the new volume.

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What is the rule of a function of the form f(t)= a sin (bt+c) +d whose graph appears to be identical to the given graph?
olasank [31]

Answer:

Option A.

f(x) = -4*sin((1/3)*t + (π/6))  + 3

Step-by-step explanation:

We can easily solve this problem by using a graphing calculator or plotting tool.

The function is

f(t) = a*sin (b*t +c) + d

Please, see attached picture below.

By looking at the picture with all the possible cases, we can tell that the correct option is A.

The function has a period of T = 6π

Max . Amplitude = 7

Min . Amplitude = -1

7 0
3 years ago
Read 2 more answers
The diagram shows Maha's garden.
Liono4ka [1.6K]

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

4 0
3 years ago
The sum of 21 and n is equal to 43.23 <br><br> please help me!!! <br> I’ll give out 30 points!!!
Assoli18 [71]
Equation: 21+n=43.23

Process to find n

21+n=43.23
Subtract 21 from both sides
n=22.23
8 0
2 years ago
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A clothing company plans to shear at least 700 sheep today all novices shear the same number of sheep per day and all experts sh
Llana [10]

Answer:

Each Novis share 7 sheep and each Expert share 12 sheep.

Step-by-step explanation:

Here, N represent the number of novices and E represent the number of experts needed for the company to meet its goal,

∵ All novices share the same number of sheep per day and all experts share the same number of sheep per day.

Let the sheep per day by a Novice = x and sheep per day by an expert = y,

So, the total sheep = xN + yE

According to the question,

Total sheep ≥ 700

⇒ xN + yE  ≥ 700,

By here, we have given the inequality for the given scenario,

7N+12E ≥ 700

By comparing,

x = 7 and y = 12

Hence, Each Novis share 7 sheep and each Expert share 12 sheep.

3 0
3 years ago
Based on historical data, your manager believes that 43% of the company's orders come from first-time customers. A random sample
tatyana61 [14]

Answer:

Following are the solution to the question:

Step-by-step explanation:

p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013

z-score for \hat{p}=0.2 will be:

z score for will be:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76

P(0.2 using excel method to calculate the value.

7 0
3 years ago
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