Solve the differential equation.
question is pictured with answer choices

Solve The Differential Equation.question Is Pictured With Answer Choices

Answers

Answer 1

Integrate both sides with respect to t :

∫ dy/dt dt = ∫ -12t ² dt

y(t) = -4t ³ + C

Use the initial condition to solve for C :

5 = -4•0³+ C

C = 5

So

y(t) = -4t ³ + 5

and the answer is D.

Alternatively, you can directly apply the fundamental theorem of calculus:

[tex]\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du[/tex]

[tex]\implies y(t)=5-4u^3\bigg|_0^t[/tex]

[tex]\implies y(t)=5-4t^3[/tex]


Related Questions

For Christmas your boss gives you a $1,500 bonus. You were not expecting the money, so you decide you want to invest it. What kind of account be the best choice for you: Checking, Savings, Money Market or Certificate of Deposit? Explain your reason for your answer

Answers

Answer:

Savings

Step-by-step explanation:

I do my own banking that's why I know this

PLEASE HELP!!

adding and subtracting complex numbers

1-) (12-3i)+(7+3i)

2-). (12+4i)-(3-7i)

Answers

Step-by-step explanation:

1) 19+i

2) 9-3i

hope this helps bro

Answer:

1. 19

2. 9 + 11i

Step-by-step explanation:

first problem:

first, we rewrite it and remove the parentheses.

12 - 3i + 7 + 3i

then, just remove the opposites and calculate.

19

second problem:

again, we rewrite and remove the parentheses.

12 + 4i - 3 + 7i

then, we calculate and collect like terms.

9 + 11i

Marcus expects to earn about $10,000 in sales per month.
He can choose Salary A of $1,500 plus 5.5% of sales which will make him $2050 each month.
Salary B offers $2400 plus 3% of sales. How much does Salary B offer Marcus each month?
Which salary option should he choose: A or B?

Answers

Answer:

A

Step-by-step explanation:

5.5 x 2050 = 11,275

If you have a system of two equations with two unknowns and the two lines intersect on
the graph, the system has how many solutions?

Answers

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

If you have a system of two equations with two unknowns and the two lines intersect on the graph, the system has one solution which is the point of intersection.

Find out more on equation at: https://brainly.com/question/2972832

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Answer: no solution

Step-by-step explanation:

Please help fast.
Answer the question below:

Answers

Either SSS or not possible

Mark if correct!

If x=1/2 and y=3/2, find the values of i) xy÷(x+y) ii) x+y ÷ x-y

Answers

Answer:

i) 3/8

ii) -2

Step-by-step explanation:

i) 1/2*3/2/(1/2+3/2)

3/4/2

3/4*1/2

3/8.

ii) 1/2+3/2 / 1/3-3/2

2/-1

-2.

Hope this helps :)

In a dance contest in which 53,000 votes were cast, the winner received 3/5 of votes. How many votes did the winner not receive? (Incorrect solution: 3/5 x 53,000 = 3/5 x 53,000/1 = 3x53,000/ 5 x 1 = 31,800) ( explain error please and add correct work/solution and if you could share a strategy you used? Thanks!!)

Answers

Answer:

21,200

Step-by-step explanation:

Votes casted = 53000

Votes received = 3/5

Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5

Total votes not received by winner

= 53000 *2/5

= 10,600 * 2

= 21,200

PLS ANSWER BOTH for more points :)

Answers

Answer:

Number 16 is C and number 17 is D

Step-by-step explanation:

Can I get my points love these kind of questions

PLZZZ WILLL GIVEEEE BRAINLEASTTTT The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and 109
-2 and -109

Answers

Third answer: -2 and 109

need help once again!

Answers

Answer:

θ = cos-1 (38/47)

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse} = \frac{27}{47}\\[/tex]

θ = sin-1 (27/47)

cos θ = [tex]\frac{adjacent}{hypotenuse} = \frac{38}{47}[/tex]

θ = cos-1 (38/47)

tan θ = [tex]\frac{opposite}{adjacent} = \frac{27}{38}[/tex]

θ = tan-1 (27/38)

1) You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to
purchase a uniform. You paid a total of $108 after 6 months. Write an equation that glves
the total cost (in dollars) as a function of the length of time you have been taking classes
(in months). Find the total cost after 9 months.

Answers

Answer:

$162

Step-by-step explanation:

you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.

The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

What is unit rate?

A unit rate means a rate for one of something.

Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.

We have unit rate = $15 per month

Since, one month cost is $15 therefore, for 6 months = 15×6 = $90

Therefore, cost of uniform = $108 - $90 = $18

Let you are taking classes for x months, the function of the length of time you have been taking classes,

f(x) = 15x

For 9 month cost =

f(9) = 15×9 = 135

Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

Learn more about unit rates, click;

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In a logistic regression model, the predictor _________

a. is interval/ratio data.
b. must undergo a logarithmic transformation before undergoing logistic regression.
c. must be in the range of 0 to 1
d. represents ranked scores
e. must be a binary variable

Answers

Answer:

B. must undergo a logarithmic transformation before undergoing logistic regression.

Step-by-step explanation:

A logistic regression model allows us to establish a relationship between a binary outcome variable and a group of predictor variables. It models the logit-transformed probability as a linear relationship with the predictor variables.

Ms. Van Tress has 134 students. She sees 38 students before lunch and 96 students after lunch.
What percentage of her students does she see before lunch? After lunch? (Round your answers to
the nearest whole number percent)

Answers

Answer:

[tex]\%Percent = 28\%[/tex] ---- Before Lunch

[tex]\%Percent = 72\%[/tex] --- After Lunch

Step-by-step explanation:

Given

[tex]Total = 134[/tex]

[tex]Before\ Lunch = 38[/tex]

[tex]After\ Lunch = 96[/tex]

Required

Determine the percentage of students seen in both cases.

This percentage is calculated by dividing the number of students seen by the total number of students. Then multiplied by 100%

i.e

[tex]\%Percent = \frac{Seen}{Total} * 100\%[/tex]

- Before Lunch;

[tex]\%Percent = \frac{Before\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{38}{134} * 100\%[/tex]

[tex]\%Percent = \frac{3800\%}{134}[/tex]

[tex]\%Percent = 28\%[/tex] --- approximated

- After Lunch;

[tex]\%Percent = \frac{After\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{96}{134} * 100\%[/tex]

[tex]\%Percent = \frac{9600\%}{134}[/tex]

[tex]\%Percent = 72\%[/tex] --- approximated

Name the decimal: -9.938
Select the correct answer below:
negative nine and nine hundred thirty-eight ten-thousandths
negative nine and nine hundred thirty-eight hundredths
negative nine and nine hundred thirty-eight tenths
negative nine and nine hundred thirty-eight thousandths

Answers

Answer:

Negative Nine and Nine Hundred Thirty-Eight Thousandths

Step-by-step explanation:

Answer: i believe its the last answer

Step-by-step explanation:

Because in decimals theres tens place, 100s place, 1000s place, etc. going from left to right after the decimal point which is the "and" in the statement. In this decimal theres only 3 numbers after the decimal point so that means to goes to the 1000s place.

Calculus BC
A screenshot of the problem is attached.

Answers

Use properties of Logarithms to simplify the limit:

[tex]\lim_{x \to \0^+}[/tex]e^3/x(e^x+x)

Move the limit to the exponent:

e^x[tex]\lim_{x \to \0^+}[/tex]3/xln(e^x+x)

Rewrite as:

e^x[tex]\lim_{x \to \0^+}[/tex]3ln(e^x+x)/x

Move 3 outside the limit and applay L'hospitals rules to get the final answer e^6

Brainliest for right answer

Answers

Answer:

Yes

Step-by-step explanation:

If you notice, X goes up 1/4 or 0.25 every time and Y goes up 3 everytime.

So they are proportional. H

Hope this helps plz hit the crown :D

Answer:

No it doesn't

Step-by-step explanation:

The proportional relationship in x is not the same as y for there to be a relationship it could be like 2, 4, 6, 8 etc

CAN SOMEONE PLEASE HELP ME I DONT UNDERSTAND THIS PLEASE HELP MEEE

Answers

??????????????????? I do not understand I do not understand I do not understand

Find the value of x. 30 POINTS! *URGENT*

Answers

Answer:

[tex] x = 7[/tex]

Step-by-step explanation:

Value of the exterior angle is equal to the addition of the opposite interior angles in a triangle

[tex]19 + 20 = 6x - 3 \\ 39 = 6x - 3 \\ 39 + 3 = 6x \\4 2 = 6x \\ \frac{42}{6} = \frac{6x}{6} \\ x = 7[/tex]

please tell me answer! i’ll give brainliest

Answers

Answer:

Answer: B. It is a perfect square

Step-by-step explanation:

Radical Expressions

Melissa multiplied [tex]\sqrt{a}[/tex] and [tex]\sqrt{b}[/tex] and got a rational number.

We are also given that a and b are both natural numbers. It means their product must be not only rational but also a natural number.

We can write that product like:

[tex]\sqrt{a} \cdot \sqrt{b}=\sqrt{a\cdot b}[/tex]

If the result is a natural number, then the product of a and b must be a perfect square. so the radical disappears.

Answer: B. It is a perfect square

STEAM: The boiling pint of water is affected by changes in elevation. Use the expression of -2A/1000 where a represents the altitude in feet to find the number of degrees Farenhite at which the boiling point of water changes at altitude 5,000 feet

A) -10°F B) 20°F C) 10°F D) -20°F

Answers

Answer:

A) -10°F

Step-by-step explanation:

Given that:

Boiling point of water gets affected when there is a change in the elevation.

Expression to represent the temperature i.e. boiling point w.r.to altitude [tex]A[/tex] is given by the equation:

Temperature in [tex]^\circ F[/tex] = [tex]\frac{-2A}{1000}[/tex]

Given that, the altitude, [tex]A[/tex] = 5,000 feet

To find:

The number of degrees Farenhite at which the boiling point of water will change.

Solution:

Here, we are given the expression:

Temperature in [tex]^\circ F[/tex] = [tex]\frac{-2A}{1000}[/tex]

And value of altitude, [tex]A[/tex] = 5,000 feet

Let us put the value of [tex]A[/tex] in the equation and let us find the value of temperature in [tex]^\circ F[/tex].

Temperature in [tex]^\circ F[/tex] =

[tex]\frac{-2\times 5000}{1000}\\\Rightarrow -2\times 5\\\Rightarrow \bold{-10^\circ F}[/tex]

Therefore, the answer is:

A) -10°F

2 rectangles are similar below find legemth in y meters

Answers

Where are the rectangles????

(4x+8)+(7x+3) help me!!!!

Answers

Answer:

Step-by-step explanation:

11x+11

what is 3/4 divided by 1/6
0 3
0 4
0 4 1/12
0 4 1/2​

Answers

The answer should be 4 1/2!

Answer:

c

because i just did the test

Each cup costs $6 and each bowl costs $10.if you want to spend exactly $72,which equation in standard form models this situation.let c represent the number of cups you buy,and b represent the number of bowls you buy

Answers

Answer: 72=6c+10b

Step-by-step explanation:

The candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.7 grams. The company takes readings of every 10th bar off the production line. The reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4. Is the process in control or out of control and why?

Answers

Answer:

It is not in control  because at least two of the  of the data points are more than 2 standard deviations from the mean are far apart.

18.3,18.4 > 18.2 Upper Control limit

14.9, > 15.4 Lower Control Limit

Step-by-step explanation:

Find the limits using μ ± 3σ  and μ ± 2σ

Using μ ± 3σ

Upper Control Limit = μ +  3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9

Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7

Using μ ± 2σ

Upper Control Limit = μ +  2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2

Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4

The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.

Rearranging these data points   14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.

We see from the above that it is out of control because the values jump above and below the mean.

It is not in control as two of the  of the data points are more than 2 standard deviations from the mean are far apart.

What is the answer to 8/10 x 5/2

Answers

Answer:

your answer is 2!

Step-by-step explanation:

you have to make it an improper fraction once you do you get 2!

brainliest please>

Answer:

2

Step-by-step explanation:

8/10 = 0.8

5/2 = 2.5

0.8 x 2.5 = 2

A store sells new video games for $60 each. Used video games sell for $12 each. Jacob is buying 3 video games and x used video games which equation can be used to find y, the total price Jacob must pay in dollars?

Answers

It's C or A
Step-by-step explanation
this is because of the Commutative Property.

What is the place value of the 3 in the number 6,370,524,891?​

Answers

ten crore is answer for India system

Step-by-step explanation:

hundred million is answer for international system

Two parallel lines are crossed by a transversal.

Horizontal and parallel lines s and r are cut by transversal t. At the intersection of lines s and t, the uppercase left angle is 115 degrees. At the intersection of lines r and t, the uppercase left angle is x degrees.
What is the value of x?

Answers

Answer:

Option D. is correct

explanation:

x = 115

<3

Find the slope of each line using tables . try using the slope formula

Answers

Answer:

2

Step-by-step explanation:

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