Mathematics College

How do you do this problem?

Answers

Answer 1

Step-by-step explanation:

∫ t⁷ e^(-t⁴) dt

If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.

∫ ¼ x eˣ dx

If u = ¼ x, then du = ¼ dx.

If dv = eˣ dx, then v = eˣ.

∫ u dv = uv − ∫ v du

= ¼ x eˣ − ∫ ¼ eˣ dx

= ¼ x eˣ − ¼ eˣ + C

= ¼ eˣ (x − 1) + C

Substitute back:

= ¼ e^(-t⁴) (-t⁴ − 1) + C

Answer 2

The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,

[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]

Related Questions

hello how do I know when ratios are equivalent and when they are not?

Answers

To compare ratios, you need to have a common second number. By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. ... If the results are equal, the two ratios are equivalent.

The cost to rent a moving van is $28 plus an additional $7 per hour. For $49, what is the maximum amount of time that a moving van can be rented for?

Answers

$35 is 1h
$49 is xh
49/35 = 1,4h = 1h 24 mins

Answer:

3 hours

Step-by-step explanation:

49-28=21

21/7=3

2. What decimal equals seven hundred forty-six thousandths?
A. 0.0746
B. 0.7461
C. 7,400.6
1
D. 7,400.006

Answers

Answer:

A. 0.0746

Step-by-step explanation:

Because it is in the thousandths place

The correct answer is A because when you move the decimal over you’ll get 746,000

Suppose PR = 54, solve for QR
4x-1
3x-1
P
R

Answers

Answer:

[tex] QR = 23 [/tex]

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

[tex] PQ = 4x - 1 [/tex]

[tex] QR = 3x - 1 [/tex]

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

[tex] PQ + QR = PR [/tex]

[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)

Solve for x

[tex] 4x - 1 + 3x - 1 = 54 [/tex]

Combine like terms

[tex] 4x + 3x - 1 - 1 = 54 [/tex]

[tex] 7x - 2 = 54 [/tex]

Add 2 to both sides

[tex] 7x - 2 + 2 = 54 + 2 [/tex]

[tex] 7x = 56 [/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{56}{7} [/tex]

[tex] x = 8 [/tex]

[tex] QR = 3x - 1 [/tex]

Plug in the value of x into the equation

[tex] QR = 3(8) - 1 = 24 - 1 [/tex]

[tex] QR = 23 [/tex]

Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 112 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?

Answers

Answer:

97 minutes

Step-by-step explanation:

A total of 716 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

325

Step-by-step explanation:

Let the number of adult tickets sold be x

Therefore, number of students tickets sold = x + 66

Since,

Number of adult tickets + number of student tickets = 716

Therefore,

x + x + 66 = 716

2x + 66 = 716

2x = 716 - 66

2x = 650

x = 650/2

x = 325

Hence, 325 adult tickets were sold.

Find the equation of the line using the point-slope formula. Write the final equation using slope- intercept form. 6 (1,2) with a slope of - 7 Enter the exact answer.

Answers

Answer:

y = -7x + 9

Step-by-step explanation:

Point-slope form:

y - 2 = -7 (x -1)

y - 2 = -7x + 7

y - 2 + 2 = -7x + 7 +2

y = -7x + 9

Find the value of x in the diagram below

Answers

Answer:

x = 13

Step-by-step explanation:

a^2 + b^2 = c^2

5 = a 12 = b

5^2 + 12^2 = c^2

25 + 144 = c^2

c^2 = 169

square root of 169 = 13

2. Graph the system of inequalities. Make sure your solution area is clear in your graph.
Then name a Solution Point____________ & a Non-Solution Point_____________
y ≥ 2x - 1
y ≥ -4
y < -x + 2

Answers

Fun fact:

The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.

Cool right? Here are more fun facts.

1 “I am” is the shortest complete sentence in the English language.

2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.

Like that?

Banging your head against a wall for one hour burns 150 calories.

In Switzerland it is illegal to own just one guinea pig.

RUFF RAF RAFF GROWL WOOF WOOF RUFF

Solve 2b+4=3b+1 for b

Answers

Answer:

b= 3

Step-by-step explanation:

2b +4 = 3b +1

-2b. -1

b = 3

b=3 ....................

What is the value of each marble?

Answers

Answer:

where

the

attachment

bruv?

Answer:

We wouldn't know because we have no information on the marbles.

Step-by-step explanation:

On a marathon course Amanda is 2mile behind Beverley and chad is 1 mile ahead of Beverly how far apart are Amanda and chad?

Answers

the answer to this question is 3 miles

To qualify for a gold status at awesome airlines one must fly less than 35200 but at least 17600 miles each year if Casey takes a 800 miles round trip flight when visiting his parents how many times does Casey need to visit his parents each year to attain gold status

Answers

800 times 22 is 17600

Consider the diagram Lines AC and RS are A coplanar. B parallel. C perpendicular D skew.

Answers

Answer: The answer is skew!

Step-by-step explanation:h

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew.

From the diagram, we have two planes.

Plane xPlane y

Line AC is on plane x, while line RS is on plane y

Plane x and plane y are not parallel;

So lines AC and RS are not parallel.

Also, both lines are not parallel.

Using the condition of skewness stated above, we can conclude that line AC and RS are skew.

Answers

Similar triangles have a scale factor that determine the length of each side.

15 / 7.5 = 2

The scale factor = 2

17 / 2 = 8.5

y = 8.5

What is the difference of -9 and -6?

Answers

Answer:

-3

Step-by-step explanation:

-6 - 3 = -9

The difference between -9, and -6 is 3 away on the number line, but it equals -15

g the order of operations.
3(4) + 4(5)

Answers

Answer:

Step-by-step explanation:

3(4) + 4 (5)

4+5+9

3+4=7

7+9

Multiple
1. Which of the following is Eular's formula?
OE-V + F = 2
OV-E+ F = 2

Answers

Answer:

see explanation

Step-by-step explanation:

Euler's formula for polyhedra is

V- E + F = 2

where V is number of vertices, E number of edges and F number of faces

solve using elimination method

-3x + 5y = 8
-2x + 7 y = -2

Answers

Answer:

x = - 6

y = - 2

Step-by-step explanation:

-3x + 5y = 8 | ×(-2)

-2x + 7 y = -2 | ×3

6x - 10y = - 16

- 6x + 21y = - 6

add

6x - 6x - 10y + 21y = - 16 - 6

11y = - 22

y = - 22 : 11

y = - 2

replace y

- 2x + 7(-2) = - 2

- 2x - 14 = - 2

- 14 + 2 = 2x

2x = - 12

x = - 12 : 2

x = - 6

state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states

Answers

Answer:

Step-by-step explanation:

Total events = 75

A + B + C = 75 --------------(I)

State A had hosted the sporting event 9 more times then state C.

A = C + 9 ---------------------(II)

Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.

A + C = 4B + 5 ---------------------(III)

Substitute A = C + 9 in (III)

C + 9 + C = 4B + 5

2C + 4 = 4B + 5

2C = 4B + 5 - 9

2C = 4B - 4

Divide the whole equation by 2

2C/2 = 4B/2 - 4/2

C = 2B - 2 -------------(a)

Plugin the C = 2B - 2 in (II)

A = C + 9

A = 2B - 2 + 9

A = 2B + 7 ------------------(b)

Plugin the value of A & C from (a) & (b) in equation (I)

A + B + C = 75

2B + 7 + B + 2B - 2 = 75

Add the like terms

2B + B + 2B + 7 - 2 = 75

5B + 5 = 75

5B = 75 - 5

5B = 70

B = 70/5

B = 14

Plug in B value in equation (a)

C = 2B - 2

C = 2*14 -2

= 28 - 2

C = 26

Plugin B value in equation (b)

A = 2B + 7

= 2*14 + 7

= 28 + 7

A = 35

State A has hosted 35 times

State B has hosted 14 times

State C has hosted 26 times

Solve for y.
-16y - 7y + -5 = 18
Y =

Answers

Answer: y = - 1

Step-by-step explanation:

Combine the like terms. -23y - 5 = 18Add 5 on both sides. -23y = 23Divide -23 on both sides. y = - 1

Answer:

y = -1

Step-by-step explanation:

-16y - 7y + -5 = 18

~combine like terms

-23y + (-5) = 18

~add 5 to both sides to get -23y by itself

-23y = 23

~divide by 23 on both sides to get just y by itself

-1 = y

Hope this helps!!

Please mark as brainliest, i need it to get to next lvl <3

6(2x-3)-8=-2
Solve for x! Tyy

Answers

Answer:

x=2

Step-by-step explanation:

use distributive property for the first part the solve like usual

hope this helped

6(2x -3) - 8 = -2 (remove the parantheses)

12x - 18 - 8 = -2 (calculate)

12x - 26 = -2 (move the constant to the right)

12x = -2 + 26 (calculate)

12x = 24 (divide both sides)

x = 2

Can somebody help me with math just text in comments below 360 times 4 + 77= ?

Answers

Answer:

1,517

Step-by-step explanation:

360 times 4 equals 1440. 1440 + 77 is 1517.

360 x 4+ 77 = 1517 because you multiply 360 x 4 which equals 1440 and add that by 77 to get 1517

59 in = how many feet and inches

Answers

Answer:

feet=4.91667

inches=708

Step-by-step explanation:

Answer:

4 ft. 11 in.

Step-by-step explanation:

Step 1:

59 ÷ 12

Step 2:

4 r 11

Answer:

4 ft. 11 in.

Hope This Helps :)

For the right triangles below, find the exact values of the side lengths b and d.

If necessary, write your responses in simplified radical form.

60°

30°

5

b

=b

45°

45°

d

7

=d

Answers

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16 / 8 ( / means division)
D. 16 / (-8) ( / means division)

Answers

Answer: B

Step-by-step explanation:

To find out how far the turtle went in 16 seconds you have to multiply 16 and -8

Answer:

I have the same question on test and answer is B

Step-by-step explanation:

Find the zeros of the function f(x) = -1.6x2 + 18x – 47 to the nearest
hundredth.

Answers

Answer:

Step-by-step explanation:

31. One February day, the low temperature in
St. Paul, MN Was - 170. Over a period of three
hours, the temperature rose 5°F per hour.
After three hours, what the was the
temperature?

Answers

Answer:

-2°F

Step-by-step explanation:

The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.

-17 + 15 = -2°F

What number can be added to -8 To get a sum of 0

Answers

Answer:

Step-by-step explanation:

-8+8=0

8 because 8 + -8 = 0

Find the quotient.

3.6÷0.08

Answers

Answer:

Step-by-step explanation:

Good luck!

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