What is the value of y?

Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

[tex]\frac{dP}{dt} = 0.4p-450[/tex]

Integrating the above equation with respect to time, we get -

[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]

let us define new variable x

[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]

substituting these values in above integral equation, we get -

[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]

[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]

at t = 0, P (0) = 1075, using this condition, we get -

[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]

Answer:

at constant C = -56 satisfies the given condition of y(x)

Step-by-step explanation:

differentiate y(x) w.r.t.x

[tex]y' (x ) = \frac{d}{dx} (\frac{1}{4} x^5 +Cx^{-3} )[/tex]

        = [tex]\frac{1}{4}\frac{d}{dx} (x^5) + C\frac{d}{dx} (x^{-3} )[/tex]

        = [tex]\frac{5}{4} x^4 - 3Cx^{-4}[/tex]

attached is the remaining part of the detailed solution and the sketch of the several typical solutions

185.193 Cm, 5.7x5.7x5.7 is the volume

The volume of the Rubik's cube is 183.51 cubic centimeters.

To find the volume of a Rubik's cube, we can use the formula V = s ³, where V represents the volume and s represents the length of each edge.

In this case, the length of each edge is given as 5.7 centimeters.

Substituting this value into the formula, we have:

V = (5.7 cm) ³

Calculating the volume:

V = 5.7 cm * 5.7 cm * 5.7 cm

V = 32.49 * 5.7

V = 183.51 cm ³

Therefore, the volume of the Rubik's cube is 183.51 cubic centimeters.

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Answer:

B. 7ab²c

Step-by-step explanation:

The GCF of 21a²b^4c and 49ab²c³ is

7ab²c

Answer:

The correct answer is b.

Answer:

65

Step-by-step explanation:

just to sum all the given measurements:

19+31+15=65.

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

Answer:

55

32

-3

-8

-19

-32

Step-by-step explanation:

Answer:

[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]

Step-by-step explanation:

sana p mkatulong............

Answer:

C? Sorry if im wrong

Step-by-step explanation:

Answer:

B (10,40)

E (6,24)

Step-by-step explanation:

(2,8) is equal to (10,40) and (6,24)

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

Answer:

205 sec

Step-by-step explanation:

x = sister

2x = Diana

2x = 410

x = 205

205 sec

hope this makes sense

Answer: Global maximum: max{-(x - 1)^2 + 4} = 4 at x = 1

Step-by-step explanation:

Answer:

28.8 and 180

Step-by-step explanation:

you just times B by 2/5 to get C and divide it by 2/5 to get A

C = (72)(2/5) = 28.8 km³

A = (72)/(2/5) = 180 km³

We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.

Answer:

x= 13.25

Step-by-step explanation:

If you simplify that it becomes 8x-6= 100

Then, if you rearrange it, its 8x= 100+6 or 8x=106

So that means x= 13.25

Answer:

its press play

Step-by-step explanation:

Press Play Step-by-step explanation:

1 year 91 dollars or three month 13 dollars so press play would end up at 52 a year and all ears ends up at 91 a year

Answer:

Jan has 17 credits and Terry has 34 credits.

Step-by-step explanation:

Set up an equation:

Assume Jan’s credits is x

Terry’s credits is 2x

They add up to 51 hours.

Equation: 2x+x=51

x= 17

Jan: 17 credits

Terry: 34 credits.

Answer:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

Step-by-step explanation:

Central Limit Theorem:

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]

18 percent are longer than 6.5 feet.

This means that [tex]p = 0.18[/tex]

A random sample of 90 sea turtles

This means that [tex]n = 90[/tex]

What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164

Using the knowledge about central limit theorem, we will have what the proportion will be;

For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:

[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]

See more about proportion at brainly.com/question/2548537

Answer:

A

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

Answer:

A

Step-by-step explanation:

x+15=28

move 15 to the other side

and change the + to -

x=28-15

x=13

Answer:

r = 97.6

Step-by-step explanation:

3 - r/8 = -9.2

24 - r = - 73.6

- r = - 73.6 - 24

- r = - 97.6

r = 97.6

Answer:

jesse or sam i think its sam by a little bit.

Step-by-step explanation:

Answer:

Sam

Step-by-step explanation:

Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:

Sam

4.2/6

= 0.7 km/min

Amanda

3.2/8

= 0.4 km/min

Jesse

3/5

= 0.6 km/min

Since 0.7 is the greatest number, that means Sam is the rider that will go the farthest in one minute.

Answer:

5n units

Step-by-step explanation:

C=2πr =2·π·2.5

Answer:

Im not entirely sure this is right but

0 = tan^-1(20 ÷ 25)

0 ≈ 38.65°

hope i helped lol

Answer:

-1.6f-46.65

Step-by-step explanation:

Answer:

The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that [tex]\mu = 25, \sigma = 5.9[/tex]

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 25}{5.9}[/tex]

[tex]Z = 0.17[/tex]

The z-score for an ACT score of 26 is 0.17.

Answer:

ss

Step-by-step explanation:

sss

Answer:

1/2

Step-by-step explanation:

No matter how many times you get tails or heads it will always be 50/50

Answer:

multiply the height and width of each side to get the area