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Natalija [7]
2 years ago
6

Please help me and take a picture and show your work​

Mathematics
1 answer:
Alona [7]2 years ago
3 0

Answer:

48

Step-by-step explanation:

The rule is every parent means 8 students.

6 * 8 is 48.

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(b) dy/dx = (x - y+ 1)^2
Elanso [62]

Substitute v(x)=x-y(x)+1, so that

\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}

Then the resulting ODE in v(x) is separable, with

1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx

On the left, we can split into partial fractions:

\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx

Integrating both sides gives

\dfrac{\ln|1-v|+\ln|1+v|}2=x+C

\dfrac12\ln|1-v^2|=x+C

1-v^2=e^{2x+C}

v=\pm\sqrt{1-Ce^{2x}}

Now solve for y(x):

x-y+1=\pm\sqrt{1-Ce^{2x}}

\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}

3 0
3 years ago
Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca
timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:

μ₁ = \frac{34+39+40+46+33+31+34+14+15+45}{10} = 33.1

Calculating the <u>Mean</u> for the sample in Iowa:

μ₂ = \frac{28+25+35+16+25+29+24+26+17+20}{10} = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The <u>Variance</u> for the sample in <u>California</u> is

σ² = \frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}σ² = 120.50

The <u>Variance</u> for the sample in <u>Iowa</u> is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in <u>California</u>, the <u>Range</u> is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

  • Mean = 33.1;
  • Variance = 120.50;
  • Range = 32;

For Iowa:

  • Mean = 24.5;
  • Variance = 32.73;
  • Range = 19;

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6 0
3 years ago
Simplify −√81 3 −2√48 3 +2√24 Work Needed
MissTica

Answer:

Step-by-step explanation:

6 0
2 years ago
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A maps key shows that every of 5 inches on the map represents 200 miles of actual distance.suppose the distance between 2 cities
Lady bird [3.3K]
200/5 = 40 miles per inch. 40x7=280 actual miles.
6 0
4 years ago
Eddie has a globe that he is going to unfold and lay flat to hang on the wall as a map. If the radius of the globe is 22.5 cm, w
nirvana33 [79]

Answer:

B. 6358.5 square centimeters. This is right.

5 0
3 years ago
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