HELP
What is the correct rule for y, in terms of x?

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

    t = 20: 999 fishes

    t = 30: 1168 fishes

(c)

[tex]P(\infty) = 1200[/tex]

Step-by-step explanation:

Given

[tex]P(t) =\frac{d}{1+ke^-{ct}}[/tex]

[tex]d = 1200\\k = 11\\c=0.2[/tex]

Solving (a): Fishes at t = 0

This gives:

[tex]P(0) =\frac{1200}{1+11*e^-{0.2*0}}[/tex]

[tex]P(0) =\frac{1200}{1+11*e^-{0}}[/tex]

[tex]P(0) =\frac{1200}{1+11*1}[/tex]

[tex]P(0) =\frac{1200}{1+11}[/tex]

[tex]P(0) =\frac{1200}{12}[/tex]

[tex]P(0) = 100[/tex]

Solving (a): Fishes at t = 10, 20, 30

[tex]t = 10[/tex]

[tex]P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483[/tex]

[tex]t = 20[/tex]

[tex]P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999[/tex]

[tex]t = 30[/tex]

[tex]P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168[/tex]

Solving (c): [tex]\lim_{t \to \infty} P(t)[/tex]

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of [tex]e^{-ct}[/tex] decreases

This implies that:

[tex]{t \to \infty} = {e^{-ct} \to 0}[/tex]

So:

The value of P(t) for large values is:

[tex]P(\infty) = \frac{1200}{1 + 11 * 0}[/tex]

[tex]P(\infty) = \frac{1200}{1 + 0}[/tex]

[tex]P(\infty) = \frac{1200}{1}[/tex]

[tex]P(\infty) = 1200[/tex]

Answer:

157

Step-by-step explanation:

just trust me bro

Answer:

The area of the printed picture is 172.5 square inches.

Step-by-step explanation:

Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:

81/2 = 40.5

1/2 = 0.5

40.5 - 1.5 x 4 = 34.5

11 - 1.5 x 4 = 5

34.5 x 5 = 172.5

Therefore, the area of the printed picture is 172.5 square inches.

Answer:

Its either L or N im not sure but if i had to guess out of the two i think its L.

Step-by-step explanation:

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

Answer:

Step-by-step explanation:

Given

(3x - 3) / 5 = (2x - 2) / 4

Begin by cross multiplying

Solution

Note: the original equation gives you 0/5 = 0/4   which is 0 = 0.

This is the graph I hope this helps

Answer: DQQMNGV

Step-by-step explanation: Each letter is shifted two letters to the right on a letter strip (a -> b -> c), so BOOKLET would be DQQMNGV.

Hope this helps!

Answer:

x=0  

g−1(4)=0∵ g(0)=4

Step-by-step explanation:

Answer:

3 feet per minute

Step-by-step explanation:

Look at an easy to read point on a grid line intersection.

Then find the slope. Slope = constant of proportionality.

For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.

(6 ft)/(2 sec) = 3 feet per minute

Answer: 3 feet per minute

Answer:

y = 2 x^2 + 5

Step-by-step explanation:

y = 2x^2 + 5

y = 2(-2)^2 + 5

y= 2(4) + 5

y = 8 + 5

y = 13

you can try for yourself using the other values

Answer:x=5 or x=−5

Step-by-step explanation:

4x^2−100=0

Step 1: Add 100 to both sides.

4x^2−100+100=0+100

4x^2=100

Step 2: Divide both sides by 4.

4x^2/4=100/4

x^2=25

Step 3: Take square root.

x=±√25

x=5 or x=−5

Answer:

x=5 or x=−5

Answer:

Area of triangle AED = [tex]\frac{1}{2}[/tex] × AE × DE

Step-by-step explanation:

The area of a triangle is [tex]\frac{bxh}{2}[/tex]

Answer:

Other person is right, i took the test

Step-by-step explanation:

Answer:

4x - 9

Step-by-step explanation:

4 times a number means 4x

9 decreased by means -9

Combined:

4x - 9

Answer:

9 - 4x

Step-by-step explanation:

this is so easy

Answer:

The answer is 21/25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

19

Step-by-step explanation:

Rate 1: 3  

4

1

​  

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3  

8

1

​  

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}

Calculate Final Amount for Nevaeh

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e  

0.0325(14)

Plug in

A=660e^{0.455}

A=660e  

0.455

Multiply

A=1040.2744

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}

Calculate Final Amount for Jonathan

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+  

12

0.03125

​  

)  

12(14)

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)  

168

Simplify

A=1021.6468

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

18.6276

\$ 19

$19

Answer:

You are correct the tax would be that

Step-by-step explanation:

Answer:

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of sample x⁻ = 7.25 seconds

Given that the standard deviation of the sample (S)  = 0.15 seconds

Level of significance = 0.01

Degrees of freedom = n-1 =100-1 =99

t₀.₀₁ , ₉₉ = 2.3646

We have to find that the 99% of the confidence interval of the mean

Step(ii):-

99% confidence interval to estimate the mean discharge time for all capacitors

[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]

[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]

(7.25 - 0.0354 , 7.25 + 0.0354)

(7.2146, 7.2854)  

Final answer:-

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Answer:

x = 2, -1

Step-by-step explanation:

Move all terms to the left side and set equal to zero Then set each factor equal to zero

Answer:

B

Step-by-step explanation:

sInce his average is equal or greater than league's average

Answer:

I'm gonna say 12??

Step-by-step explanation:

Am I close?

Have a nice day! <3

Answer:

Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:

7x+x+20=180

Then, you combine the xs and you would get this:

8x+20=180

Then, subtract 20 from both sides like this:

8x=160

Lastly, you would divide 8 by both sides and get x which is:

x=20

Step-by-step explanation:

I hope this helped you!

Answer: that’s the answer c

Step-by-step explanation:

Bc of the work you put in

Answer:

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Step-by-step explanation:

To solve this question, we need to understand the Central Limit Theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances:

Of the 193 smokers taking a placebo, 29 stopped smoking by the 8th day.

This means that:

[tex]p_S = \frac{29}{193} = 0.1503[/tex]

[tex]s_S = \sqrt{\frac{0.1503*0.8497}{193}} = 0.0257[/tex]

Of the 266 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day.

This means that:

[tex]p_A = \frac{82}{266} = 0.3083[/tex]

[tex]s_A = \sqrt{\frac{0.3083*0.6917}{266}} = 0.0283[/tex]

Calculate the estimated standard error for the sampling distribution of differences in sample proportions.

[tex]s = \sqrt{s_S^2 + s_A^2} = \sqrt{0.0257^2 + 0.0283^2} = 0.0382[/tex]

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Answer:

4th number line (the one of the bottom right)

Step-by-step explanation:

First, solve the inequality, then choose the number line that mathes the solution.

3x ≤ -6

Only step: Divide by 3.

x ≤ -6/3

x ≤ -2

But which number line matches the solution?

We know this is going left, so #1 & #3 are out. This also has a closed circle (because of ≤ (less than/equal to)), so #2 is also out.

Number line #4 matches the solution (x ≤ -2), so it is the answer.

Answer:

Step-by-step explanation:

z = 119                            Vertically opposite angles are equal.

5x + 41 + 119 = 180        5x + 41  and 119 are supplementary.

4x + 160 = 180               Subtract 160 from both sides

4x = 180 - 160

4x = 20                           Divide by 4

x = 20/4

x = 5