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

PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?

Answers

Answer:

$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.

Step-by-step explanation:

Ok bro.

Depending on what kind of buisness he has here are the answers:

If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =

$22,086.75

If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =

$15776.25

What is 6 ( 8 + w). Use the distributive property to remove the parentheses.

Answers

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Using the distributive property you would multiply the number outside of the parentheses by everything inside the parentheses. So 6 x 8 and 6 x w.

6 x 8= 48 6 x w=6w

Final answer: 48 + 6w

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

4 Tables

Step-by-step explanation:

There are 8 pints in a gallon, and since you need 2 pints per table, you would just divide 8 by 2.

Answers: it’s 4 tables

Wich number line shows the graph x<-6?


The other side of the number line is -5 and -10​

Answers

The first one is the right answer

Answer:

It is the first one

Step-by-step explanation:

Open circle is greater or less than.

Closed circle is greater than or equal to and less than or equal to.

"Jonas prepared himself to walk to the stage when the applause ended and the Chief Elder picked up the next folder and looked down to the group to call forward the next new Twelve. He was calm now that his turn had come. He took a deep breath and smoothed his hair with his hand." - The Giver *

1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient

Answers

Answer:

3rd limited

Step-by-step explanation:

If 5% of a number equals 8, find 50% of that number.

Answers

Answer:

80 will be the answer.

Step-by-step explanation:

Let the number be x.

5% of x=8

(5/100)*x=8

x=(8*100)/5

x=160

Now,

50% of 160

=(50/100)*160

=80

student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

What is the fraction ⁸⁄₂₀ in its simplest form?

Answers

Answer:

2/5

Step-by-step explanation:

dsadsadasddsadsadasddsadsadasddsadsadasddsadsadasd

Step-by-step explanation:

8/20=4/10=2/5

done by cancelling

hope it helps

How many lines of symmetry does this figure have?

Answers

Answer:

4 i think

Step-by-step explanation:

If you fold this figure some times it should get it evenly

I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG​

Answers

Answer:

B) 3 5/9

Step-by-step explanation:

Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!

If a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?​

Answers

Answer:

135

Step-by-step explanation:

Answer:

135 cupcakes

Step-by-step explanation:

You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.


[tex]8 + 8 < 17 > [/tex]
es la repuesta
8×2 8​

Answers

Answer:

Step-by-step explanation:

What is the answer please help no links no links please help

Answers

180cm. The square is 6 x 6 = 36 and the triangles = 12 x 6 = 72 and then divide it by 2 = 36 multiply that by 5 and you get 180cm
the answer of the question is 180cm

Which value of x would make TV IOS?
R
03
08
x
x + 4
10
X + 10
11
T
X-3
V
//
х

Answers

Answer:

11

Step-by-step explanation:

the value of x is 11 to make tv IOS

The measure value of y is 10.

Option C is correct.

What is Basic Proportionality Theorem?

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

The fundamental proportionality theorem can be used to calculate the lengths of two sides of a triangle divided by a line drawn parallel to the third side. It can also be used to determine the relationship between two equiangular triangles.

We have

RT= x+ 4

TQ= x- 3

RV= x+ 10

As, TV || QS

By using Basic Proportionality Theorem

RT / TQ = RV / VS

(x+ 4) / (x- 3) = (x+ 10)/ x

x² + 4x = x² -3x + 10x - 30

4x - 7x = -30

-3x = -30

x= 10

Thus, the required value is 10.

Learn more about Basic Proportionality Theorem here:

https://brainly.com/question/28987422

#SPJ7

4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?

4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?

How do you use coordinates to find the perimeter and area of polygons?

Answers

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

someone please help me answer this!!

Answers

The distance would be 6

Answer:

17 units is the answer

Step-by-step explanation:

Points are (1,9) and (9,-6)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]

∴ d = 17 units is the distance between 2 points.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR ILL REPORT YOU AND GET YOUR ACCOUNT DELETED.

Answers

Answer:

6

Step-by-step explanation:

How many solutions will there be to the following equation 16^2=100

Answers

None Bc the first person is correct

The value of [-10] is?
A.11
B.-10
C.-9

Answers

Answer:

B = -10

Step-by-step explanation:

the answer is B = - 10

Answer:

b. -10

Step-by-step explanation:

7. The area of a triangle is 2.1 square feet. Its base is 2 feet. What is its height​

Answers

Step-by-step explanation:

area of a triangle is (bh)/2

b=base

h=height

2.1=(2h)/2

2.1=height

Hope that helps :)

Answer:

4.2

Step-by-step explanation:

Multiply 2.1 and 2 to get 4.2

2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units

Answers

Answer:

9 inches ; 0.7 units ; m units

Step-by-step explanation:

The area of a square is give as :

The square of the side length of the square ; that is ;

Area of square = s² ;

Where s =! Side length of the square

Hence ;

A square with area = 81 in²

Length of its side = sqrt(81) = 9 inches

Area of square = 0.49 unit²

Length of its side = sqrt(0.49) = 0.7 units

Area of square = m² unit²

Length of its side = sqrt(m²) = m units

multiplicative identity

multiplication property of zero

addition property of zero

multiplicative inverse

additive inverse

communicative

reflexive

distributive

symmetric ​

Answers

distributive, symmetric, no idea cause none of these seem right, communicative, addition property of 0, can't see the last one

A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?

Answers

Answer:

The expected frequency is 90

Step-by-step explanation:

If the given probabilities are taken as observed

pXL=0.10,      450*0.1= 45

pL=0.20,      450*0.2= 90

pM=0.40,     450*0.4= 180

pS=0.20,     450*0.2= 90

pXS=0.10     450*0.1= 45

We can assign the expected frequencies to be 450/5= 90 each

The chi square goodness fit test can be calculated as

Observed    Expected   (o-e)       (o-e)²          (o-e)² /e

45                   90         -45            2025              22.5

90                  90           0                0                    0

180                 90           90             8100               90

90                 90            0              0                         0

45                  90         -45             2025                   22.5    

∑                                                                                135        

χ²= 135

The χ² value at 0.05 is 9.49

The result is significant.

Answer:

180

Just took the test

You earn $18 for watching three cars how much do you earn to Washing 2 cars

Answers

Answer:

$12

Step-by-step explanation:

3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.

Please help me.
how many observations are in this data set?

Answers

Answer:

16

Step-by-step explanation:

count the dots. each is one observation

Yep it is 16 the answer


Can someone give me the answer to question 4

Answers

Answer:

105+54=Z [being sum if interior angle of triangle equal to opposite exterior angle]159=Ztherefore,Z=159

PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!


A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.


Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?


A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.

Answers

It would have to be the last one: Online customers buy an average of 6 packs compared with walk-in customers, who buy an average of 2 packs.
This is because more online customers buy the 6 pack than any other pack while the walk-ins buy mainly the 2 packs.

Answer:

The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

y-5=4x and y=4x-5 has no solution true of false?

Answers

y-5=4x and y=4x-5 has no solution so that would be true.

9x - 7i > 3 (3x - 7u)

Answers

Answer: i < 3u

Step-by-step explanation:

9x - 7i < 3 (3x -7u)

= 9x - 7i < 9x - 21u  

= -7i < -21u (cancel out the 9x)

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Answers

This question is incomplete, the complete question is;

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Assume that the standard deviation for​ "time spent watching television on a​ weekday" is 1.93 hours.

Answer:

the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

Step-by-step explanation:

Given the data in the question;

x" = 1.98  

μ = 2.35  

s = 1.93

n = 45

so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )

we substitute in our values,

p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )

= p( -0.37 / 0.2877

= P(  - 1.29 )

from standard normal table,

P(  - 1.29 ) =  0.0985  

Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

 

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