F’(x)= 1+3 square root x f(9)=68

Answers

Answer 1

Answer:

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]

Apply the reverse power rule

[tex]x + 2x^\frac{3}{2} + C[/tex]

Now solve for C when x = 9

[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]

Now substitute into the antiderivative

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]


Related Questions

Factorise fully 6x+8​

Answers

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

↬ 2(3x + 4)

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

6x ÷ 2 + 8 ÷ 2

The result is :

3x + 4

And now the 2 goes outside the parenthesis:

2(3x + 4)

Hence, the answer is 2(3x + 4).

The table shows the prices for peanut butter sold in jars of different weights. Which size jar is the best buy?


NO ANSWERS FROM UNKNOWN FILES OR I'LL REPORT IT!!!

Answers

Answer: 48 oz is the best buy

Step-by-step explanation:

You can get way more for cheaper considering 24oz costs $19.12 and if you do 24x2 you get 48 so if you buy 2 of the 24oz ones you have to pay $18.24

HOPE THIS HELPS ^^

PLS HELPPPPPP MEEEEEEE

Answers

Answer:

6.24x10^2

Step-by-step explanation:

Which is the graph of f(x)=(x-1)(x+4)?

Answers

Answer:

I think its c but it could also be b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edge 2021

HELP PLZZZ questions are on the screenshot whats y/4+6=10

Answers

Answer:

16

Step-by-step explanation:

y/4=4

y=16

192, 96, 48, 24 what are the next three terms

Answers

Answer:

12,6,3

Step-by-step explanation:

its dividing by half

All of the dimensions of the solid are multiplied by a factor of k=10 how many times greater is the surface area of the new solid? How many times greater is the volume of the new solid?

URGENT PLS PLS PLSPLSOWSOQDNPN

Answers

Step-by-step explanation:

The surface area increases by 100

if x y and z are side lengths and it is a rectangle.

Then finding the surface area would normally be 2xy+2yz+2xz

But then increasing each side length by a factor of 10 means multiplying it together

2x(10)y(10)+2y(10)z(10)+2x(10)z(10)

200xy+200yz+200xz and that is 100 times greater than the normal surface area.

Volume:

(x)(y)(z)=normal volume

x(10)y(10)z(10)=increased value

1000xyz=new volume

that is 1000 times greater than the previous volume

Hope that helps :)

Based on these results, what is the probability that Ms. Le
will choose a yellow or purple marble?
FOR BRAINLITS!!

Answers

Option A 2/5 is correct

Find the value of x.
B
10-X
3
D
E
х
2.
A
c
x = [?]

Answers

Answer:

The answer would be 4

Step-by-step explanation:

2/3=x/10-x

(cross multiply)

2(10-x)=3x

20-2x=3x

20=5x

(divide by 5)

x=4 (That would be the answer You welcome.)

Fill in the blank 4

For the given triangle the value of x = 4.

In the given figure,

The triangles, ABC and DBE are similar

Since we know that,

Triangles that are similar to one another in shape but differ in size are known as similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Therefore, we have the proportionality,

EC/BE = AD/DB

⇒ 2/3=x/10-x

After cross multiplying

⇒ 2(10-x)=3x

⇒ 20-2x=3x

⇒ 20=5x

Divide both sides by 5, and we get,

⇒  x = 4

Hence,

The value of x = 4.

To learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

A rectangle has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?

Answers

Answer:

54 cm²

Step-by-step explanation:

To find the area, use the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 9(6)

A = 54

So, the area of the rectangle is 54 cm²

Answer:

[tex] \bf \huge 54 \: cm \: {}^{2} [/tex]

Step-by-step explanation:

correct Question :

A rectangle has a side length and wide of 9 centimeters and 6 centimeters. What is the area of the rectangle

Given that :

A rectangle has a side length and wide of 9 centimeters and 6 centimeters.

to find :

area of rectangle.

formulas used :

A = l × w

where,

A = area of rectangle l = lenth of rectangle W = wide of rectangle

explanation :

⟼ l = 9 cm

⟼ W = 6 cm

⟼ Area = l × b

⟼ Area = 9 × 6 cm

⟼ Area = 54 cm².

the area of rectangle is 54 cm².

PLEASE HELP ME MARKING PEOPLE AS BRAINLIST

Answers

Answer:

A

Step-by-step explanation:

who tryna play 2k or cod

Answers

Answer:

i'M DOWN IT'S CHADCW1234

Step-by-step explanation:

Answer:

o7ft65tu7lfl875t6u

Step-by-step explanation:

How to show work on this one topic is angles formed by 2 chords and secants

Answers

Answer:

Step-by-step explanation:

What is the common ratio of the geometric sequence below 18,-6,2,-2/3

Answers

Answer:

-1/3 is common ratio

Step-by-step explanation:

HELPP!! the 4 on top isn’t supposed to be there

Answers

Answer:

12 ANJIRRTOLOLLSKALIII

OOP MAYBE TRY TO ERASE IT

What is the quotient of m and 11

Answers

m/11 is the answer due to the fact that their is not a value for m

Can someone please give me this answer to question 3 please

Answers

Answer:

kurt

Step-by-step explanation:

helppppppppppppppppp

Answers

Answer: x smaller than or equal to -4

A woman sold an article for $1400.00 and made a profit 25%. Find the cost price and the profit​

Answers

Answer:

$1120 and $280.

Step-by-step explanation:

$1400 = 125%

100% = $1120

The cost of the price was $1120.

$1400 - $1120 = $280.

The profit was $280.

Hope this helps!

how do you find lateral surface area​

Answers

Answer: This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.

Step-by-step explanation:

Solve for the value of x.

Answers

Answer:

x = 15

Step-by-step explanation:

Similar triangles and proportional side lengths.

10/4 = x/6

5/2 = x/6

2x = 5 * 6

2x = 30

x = 15

15.09 ÷ 0.01 = ?
267.4 ÷ 1/10 = ?

Answers

Answer:

Dividing by a fraction is multiplying by the reciprocal

15.09/1/100=15.09*100=1509

267.4/1/10=267.4*10=2674

Answer:

15.09 ÷ 0.01 = 1509

267.4 ÷ 1/10 = 2674

hope these are the answers you are looking for

Step-by-step explanation:

Will give brainliest

Find the area of this circle. Use 3 for .
A = ar2
10 cm
[?] cm2

Answers

Answer:

300

Step-by-step explanation:

3x10x10=300

Answer:

300 cm^2

Step-by-step explanation:

A= (3)(10^2)

A= 3(100)

A= 300

How many people out of 100,000 will survive until age 90?

Answers

Answer:

81.26

Step-by-step explanation:

This amount of people survived until 90 according to an article:

20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357 = 172,281

"172,281" as a percentage is:

81.26

The percentage people out of 100,000 will survive until age 90 would be 81.26.

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

So, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

The data is given in the image attached below;

We need to find How many people out of 100,000 will survive until age 90.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The amount of people survived until 90 according to an article:

20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357

= 172,281

Therefore, "172,281" as a percentage is 81.26.

The percentage people out of 100,000 will survive until age 90 would be 81.26.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ2

HELP ME RN. PLS PLS PLS

Answers

it is the 3 one and it is esay

The segments shown below could form a triangle. A. True B. False​

Answers

Answer:

true

Step-by-step explanation:

join a, b, c the attach the value A to C=9, B to C=7, and B to A=16

pls answer it i really need the answers : (

Answers

Answer:

Subscribe Single-3 FF on yt

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 20 points
I will mark you as Brillant if you answer it

Answers

Answer:

There are infinite rational numbers between 0 and 1. To list a few, we have,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …This goes with saying,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …This goes with saying,“Between any two real numbers a and b, there are an infinite number of real numbers.”

Step-by-step explanation:

please mark me as brainliest answer

Give the most precise
name for the quadrilateral.
Then, find x and y.

A) square x=80 y=5
B) rhombus x=80 y=5
C) rhombus x=100 y=10
D) square x=80 y=10
E) rectangle x=100 y=7

Answers

Answer:

B

Step-by-step explanation:

quadrilaterals= 360 degrees, now if you sub 80 for x, 80 +100 is 180 x 2( counting the other side) so 180 x 2 is 360

*I know there is a better way to explain it, but this is a way i find it

-1/3 – ¼
please show work if you don`t please don`t answer the question

Answers

Answer:

-1/3 - 1/4

First, make common denominators

-4/12 - 3/12

Then subtract the numerators

- 7/12

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