Use a definite integral to find the area under the curve between the given x-values. f(x) = 3 x from x = 1 to x = 8

Answers

Answer 1

Answer: 94.5

Step-by-step explanation:

Given

Function is [tex]f(x)=3x[/tex] and the boundary is [tex]x=1\ \text{to}\ x=8[/tex]

Integrating the function

[tex]\Rightarrow I=\int_{1}^{8}f(x)dx\\\\\Rightarrow I=\int_{1}^{8}3xdx\\\\\Rightarrow I=\left ( \frac{3x^2}{2} \right )_1^8\\\Rightarrow I=1.5(8^2-1^2)=1.5(64-1)\\\Rightarrow I=94.5[/tex]

The value of integral is 94.5


Related Questions

A brick wall is to form one side of a rectangular garden and three other sides me to be done by 40
feet of fencing Find the largest area the garden can have.

Answers

Answer:

80 probaly

Step-by-step explanation:

Write and solve an algebraic equation to find x triangle
(2x) (5x+12) (3X-32)

Answers

Answer:

30x squared 2 minus 248x squared 2 minus 768x

(NO LINKS)!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)

Answers

Answer:

(3+5) = 8 times 8 = 64 64+(8-11)+Z=64+(-3) + Z=62+z= 62+2 = 64

64

Step-by-step explanation:

What’s 2 + 2?
A. 0
B. 1
C. 2
D. 4

Answers

Answer:

are u kidding me it's literally D --_--

Step-by-step explanation:

answer is D. 4 because when u add two to two it is 4

What is 12 - 33/4 equal in fraction form?

Answers

Answer:

3. 3/4

hope this helps

The expression 12 - (33/4) is equal to 15/4.

To express 12 - (33/4) as a fraction, we need to find a common denominator for the subtraction. The common denominator should be a multiple of 4, which is the denominator of (33/4).

We can rewrite 12 as an equivalent fraction with a denominator of 4:

12 = 48/4.

Now, we can rewrite the expression as:

48/4 - 33/4.

Since the denominators are the same, we can subtract the numerators directly:

(48 - 33) / 4 = 15/4.

Therefore, 12 - (33/4) is equal to 15/4.

In fraction form, the result is 15/4. This means that when we subtract 33/4 from 12, the answer can be represented as the fraction 15/4.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ6

HELPP PEOPLEE 24 POINTS!!! THIS IS MY 10TH TIME POSTING AND NO ONE HAS ANSWERED IT PLEASEE HELP QUICK!!!! BEFORE I HAVE A BREAKDOWN PLEASEE :’) PLEASEEE I NEED IT NOW NO LINKS NO JUST PUTTING ANSWERS TO GET THE POINTS NO BOTS I WILL REPORT !!Which of the following equations describes the line shown below? Check all
that apply.
(-5,6)
(-1,-1)

Answers

We can easily find the slope by using the slope formula when given two points: (-2,4), (1,13) -> (13-4)/(1-(-2)) = 9/3 = 3

Plugging into our point-slope form, we get y-y1 = 3(x-x1), then apply one of the points: y - 4 = 3(x+2)

Therefore B and E is right.

You and your friend are watching a television show . One of your friends ask,'How long are the commercials breaks during this show ?"


Time (minutes)
4.2 3.5 4.55 2.75 2.25

A . Use the mean of the values in the table to answer question

Commercial breaks average ___ minutes

Answers

3.45 (4.2+3.5+4.55+2.75+2.25)/5

3.45 (4.2+3.5+4.55+2.75+2.25)/5

Travis spends $2 in 10 pieces of gum to share with his friends. What is the correct unit rate?

Answers

Answer:

1 piece of gum= 20 cents

Charlie surveyed his friends to learn how much they had grown in the past year.

Answers

Hi, could you please provide more information to this question?

Thanks!

i don’t get what ur trying to say? please give more information :) thanks

Mrquis ran 1/2 mile, Chad ran 7/8 mile, Jose ran 3/5 mile, and stephen ran 3/4 mile. Order them greatest to least

Answers

Answer: Chad, Stephen, Jose and Mrquis

Step-by-step explanation:

We can change them to Percentage to make their ordering easier.

Mrquis ran 1/2 mile = 1/2 × 100 = 50%

Chad ran 7/8 mile = 7/8 × 100 = 87.5%

Jose ran 3/5 mile = 3/5 × 100 = 60%

Stephen ran 3/4 mile = 3/4 × 100 = 75%

Therefore, the ordering from the greatest to the least will be:

Chad, Stephen, Jose and Mrquis

Write the rule that defines the function represented by the table

Answers

Answer:

y = 2 * 4^x

Step-by-step explanation:

We could define a wide variety of rules!

It turns out that any set of n (x, y) pairs can be modeled by a singular polynomial of degree (n-1) or less, and by infinitely many polynomials of degree n or more! And we're only talking polynomials!

Let's input it into a polynomial interpolation calculator:

[tex](27 x^4)/4 - (63 x^3)/2 + (225 x^2)/4 - (51 x)/2 + 2[/tex]

Well I don't love this.

Let's try to actually look for patterns. We see that the function is rapidly increasing. More and more, actually. Let's look for the ratios of each next y

8/2 = 4

32/8 = 4

128/32 = 4

512/128 = 4

BINGO!

So we can define the rule as:

y = 2 * 4^x

3/4y+6=0 steps in order

Answers

Answer : y = - 8

3/4y+6=0

Step 1: Subtract 6 from both sides :

3/4y + 6 - 6 = 0 - 6

3/4y = -6

Step 2: Multiply both sides by 4/3 :

( 4/3 ) × ( 3/4y ) = ( 4/3 ) × ( -6 )

Final answer is y = - 8

De dónde se obtienen los datos generales complementarios que se utilizan para calcular la razones de actividad

Answers

Answer:

En el departamento de ventas.

Explicación paso a paso:

Los datos generales complementarios se pueden obtener del departamento de ventas donde están presentes los datos sobre ventas y nos ayudan a calcular los ratios de actividad. El índice de actividad se puede calcular dividiendo las ventas de la empresa por sus activos totales. Este índice de actividad indica la eficiencia de una empresa mediante el uso de sus activos disponibles para producir ventas. El índice de actividad también se denomina "Índice de gestión de activos". Los datos de ventas son necesarios para el índice de actividad que puede estar disponible en el departamento de ventas.

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Select three options. The inequality should be written as 25 s less-than 300. The inequality should be written as 25 s greater-than 300. The circle is open. The circle is closed. The arrow points left.

Answers

Answer:

A, C, E

Step-by-step explanation:

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

A box contains 6 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.

please help :(

Answers

Answer: The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.

Step-by-step explanation:

What is the probability of choosing a pen from the first box? It is 5/8.

 

What is the probability of selecting a crayon from the second box? It is 3/12 = 1/4.

The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.

1/3 x 4/7? first person to answer gets brainliest!!

Answers

Answer:

4/21

Step-by-step explanation:

1, 3, 5, 7,...
Find the 50th term of the sequence.

Answers

147 is the correct answer

Answer:

99

Step-by-step explanation:

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99

Just go up 2 numbers 50 times

Find mZKLM.
L
M
K
Answer: m KLM

Answers

Angle KLM = 86 hope that helps

quick help plzz!!!!!!!

Answers

It is B I’m pretty sure

Isaac earns 7% commission as a salesperson. He's an old a coat that cost $69. How much commission did Isaac earn?

Answers

Answer:

4.83

Step-by-step explanation:

69$ is the sell price

7% is the commission rate

69$ x 7% = 4.83

What is the slope of the line graphed below

Answers

Answer:

-5

Step-by-step explanation:

Assuming that each unit is 1, then it is rise over run, which is -5/1=-5

Laney is making gift bags with pencils and candy bars.
The pencils come in packages of 12.
• The candy bars come in packages of 10.
• Each gift bag will have the same number of pencils.
• Each gift bag will have the same number of candy bars.
How many packages of each will Laney need to buy in order to have no candy bars or pencils left over?
O A. 12 packages of pencils, 6 packages of candy bars
OB. 5 packages of pencils, 10 packages of candy bars
O C. 6 packages of pencils, 5 packages
candy bars
O D. 5 packages of pencils, 6 packages of candy bars

Answers

Answer:

Choice D

Step-by-step explanation:

Choice A

12 x 12 = 144 pencils

6 x 10 = 60 candy bars

Choice B

5 x 12 = 60 pencils

10 x 10 = 100 candy bars

Choice C

6 x 12 = 72 pencils

5 x 10 = 50 candy bars

Choice D

5 x 12 = 60 pencils

6 x 10 = 60 candy bars

Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute

Answers

Answer:

80 ft

Step-by-step explanation:

Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.

Huilans age is three times Thomas's age. the sun of their ages is 40. what is Thomas's age?

Answers

Answer:

Step-by-step explanation:

Huilan = H

Thomas = T

H = 3T

T+3T = 40(This is the sum)

4T = 40

4T/4=T

40/4=10

T=10

Laura bought some tacos for her and her friend to split. She paid a total of $7.08 for 12 tacos. What was the cost of each taco

Answers

Answer:

its 0.59

Step-by-step explanation:

Because if you divide 7.08 and 12 then you get the answer.

NO FILES OR LINK PLSSS HELP

a.14ft/yr
b.3ft/yr
c.7ft/yr
d.10ft/yr

Answers

Answer:c.7ft/yr

Step-by-step explanation:

6th grade math help me pleaseee

Answers

B. -4W - 4 = 8
-4W = 8 + 4
-4W = 12
-4W/-4 = 12/-4
W = -3

C. -3 + 8n = -5
8n = -5 + 3
8n = -2
8n/8 = -2/8
n = -0.25

In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter

Answers

Answer:

28.15 cm²

Step-by-step explanation:

In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter

For the above question, we are given 2 sides and an angle.

The formula to find the area of ΔNOP

1/2 × a × b × sin θ

From the above question:

θ = 61°

a = 7.4 cm

b = 8.7 cm

Hence,

1/2 × 7.4 × 8.7 × sin 61

= 28.154008373 cm²

Approximately to the nearest tenth = 28.15 cm²

help with number one pls

Answers

Answer:

First it would be 10 and the second one would be 20 tell me if I’m right!!

Step-by-step explanation:   I think it’s that I’m not really sure lol also have a great day :D

21 points Brailiest pic below

Answers

I think it would be C hopefully you get right
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