Find the derivative F(x)=(5x+3)(2x^2+1)

Answers

Answer 1

Answer:

10x^3 + 6x^2 + 5x + 3

Step-by-step explanation:

F(x)=(5x+3)(2x^2+1)

= 5x*2x^2 + 5x*1 + 3*2x^2 + 3*1

= 10x^3 + 5x + 6x^2 + 3

= 10x^3 + 6x^2 + 5x + 3


Related Questions

How to simplify this problem: (4c^4)^3

Answers

Answer:

64c^12

Step-by-step explanation:

(4c^4)^3 distribute exponents

{(4)^3 (C^12)} simplify

64c^12

Find the least common multiple of 15, 2, and 10.

Answers

Answer:

LCM = 30

Step-by-step explanation:

15 = 3×5

2 = 2¹

10 = 2×5

LCM = 2×3×5 = 30

F(x) = 3x - 7 and g(x) = -2x - 6. Find (f o g)(4)

Answers

Answer:

(f o g)(4) = - 49

Step-by-step explanation:

F(x) = 3x - 7

g(x) = -2x - 6

To find (f o g)(4) we must first find (f o g)(x)

To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with

g (x).

We have

(f o g)(x) = 3( - 2x - 6) - 7

= - 6x - 18 - 7

We have

(f o g)(x) = - 6x - 25

To find (f o g)(4), substitute the value of x that's 4 into (f o g)(x)

We have

(f o g)(4) = - 6(4) - 25

= - 24 - 25

We have the final answer as

(f o g)(4) = - 49

Hope this helps you

Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?

Answers

Answer:

A. 38.88

Step-by-step explanation:

$540-54 is 486

486(0.08) or 486(8%) is 38.88

Answer:

$38.88

I took the test, trust me

4(3x - 2) - x = 3x - 4x

Answers

Answer:

2/3

Step-by-step explanation:

Step 1:

4 ( 3x - 2 ) - x = 3x - 4x

Step 2:

12x - 8 - x = - x

Step 3:

11x - 8 = - x

Step 4:

11x = - x + 8

Step 5:

12x = 8

Answer:

x = 2/3

Hope This Helps :)

Answer:

[tex]\displaystyle{x=\frac{2}{3}}[/tex]

Step-by-step explanation:

[tex]4(3x-2)-x=3x-4x\\(12x-8)-x=3x-4x\\12x-x-8=3x-4x\\11x-8=3x-4x\\11x-8=-x\\11x=-x+8\\12x=8[/tex]

[tex]\displaystyle{x=\frac{8}{12}}[/tex]

[tex]\displaystyle{x=\frac{2}{3}}[/tex]

What is the solution to the equation 1/4x+2= -5/8x-5?

Answers

Answer:

x=( -8)

Step-by-step explanation:

hope it helps.^-^

Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =

Answers

Given :

Three points ,  P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .

To Find :

The length of sides .

Given :

We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :

[tex]L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]

Length of PQ :

[tex]PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3[/tex]

Length of QR :

[tex]QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5}[/tex] :

Length of RP :

[tex]RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6[/tex]

Hence , this is the required solution .

The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.

Answers

Answer:

8

Step-by-step explanation:

ABSOLUTE VALUE! What is the absolute value of -7?

Answers

Answer:

7

Step-by-step explanation:

For any real number x, if x > 0 then |x| = x and if x < 0 then |x| = -x. In this case, x < 0 so |-7| = -(-7) = 7.

Answer:

answer is 7

Step-by-step explanation:

if its a negative, its always the positive of that number....if that makes sense

Chang Industries has bonds outstanding with a par value of $210,400 and a carrying value of $218,600. If the company calls these bonds at a price of $214,000, the gain or loss on retirement is:

Answers

Answer:

The loss is $4600.

Step-by-step explanation:

The par value of the bonds = $210400

The carrying value of the bonds or the actual value of bonds = $218600

The company calls the bonds at the price = $214000

Now have to find the gain or loss from the given information. Thus, below is the calculation to find the gain or loss.  

Loss or gain on retirement = $214,000 - $218,600 = -$4,600

Thus the loss on retirement is $4600.

Sanna has 38 homework problems to finish she finishes the 14 problems in 25 minutes. How long will it take her to finish the rest of the assignment, if she continues at the same pace?

Answers

Answer:

45

Step-by-step explanation:

Katie has a collection of nickels dimes and quarters with a total value of $4.60. there are 6 more dimes than nickels and 8 more quarters than nickels. How many of each coins does she have?

Answers

Answer:

920

Step-by-step explanation:

$4.60×6-8

$4.60×2dimes

=920

evaluate h^2-3h+2 for h= -3

Answers

Answer:

2

Step-by-step explanation:

1. Start by substituting 3 for every h, so it looks like 3^2-3(3)+2

2. Do the exponent first 9-3(3)+2

3. Multiply 3(3) to get 9-9+2

4. Subtract 9-9, 0+2

5. Add 0 and 2 to get 2

Solve the formula h=54t+12at2 h = 54 t + 1 2 a t 2 for a.

Answers

Hope this helps!!!!!

Help me with this please i don't understand

Answers

Answer:

84 cm²

Step-by-step explanation:

Surface are of the net = sum of the area of each section

Area of the 2 right triangles:

base (b) = 4cm, height (h) = 3 cm

Area = 2(½*b*h) = 2(½*4*3) = 4*3 = 12 cm²

Area of rectangle with the following dimensions:

length (L) = 6 cm, width (W) = 4 cm

Area = L*W = 6*4 = 24 cm²

Area of rectangle with the following dimensions:

length (L) = 6 cm, width (W) = 5 cm

Area = L*W = 6*5 = 30 cm²

Area of rectangle with the following dimensions:

length (L) = 6 cm, width (W) = 3 cm

Area = L*W = 6*3 = 18 cm²

Surface area of the net = 12 + 24 + 30 + 18 = 84 cm²

The data below is your data set for your mini lab. For this assignment, you are the researcher. You gave the facial recognition lab to 40 students, 20 males and 20 females. The data set below contains the number of correct hits for each subject. Complete the calculations below based on the data provided.Males 5 5 8 5 6 7 4 5 3 4 8 5 10 6 5 5 8 7 5 6Females 9 8 7 7 9 8 8 8 9 10 7 9 8 9 7 9 8 7 9 7 .Calculate the mean number of correct responses (hits) for male subjects. Round to the nearest hundreths place2. Calculate the Standard Deviation (SD) of the correct reponses for male subjects. Round to the nearest hundreths place3. Calculate the Standard Error of Mean (SEM) of correct responses for male subjects. Round to the nearest hundreths place.4. Calculate the mean number of correct responses (hits) for female subjects. Round to the nearest hundreths place5. Calculate the Standard Deviation (SD) of the correct reponses for female subjects. Round to the nearest hundreths place6. Calculate the Standard Error of Mean (SEM) of correct responses for female subjects. Round to the nearest hundreths place.7. Use a statistical software program or your favorite stats website and find the t value for an unpaired 2 sample t test using the data from the 2 groups, the males and females.8. What is the degree of freedom associated with this t test.9. The p value associated with the t value isa. less than .05b. greater than .05c. I have no idea10. Based on your calculations, would you reject the null hypothes that there is no difference between males and females on this recognition task?a. Yes, I would reject the null hypothesis.b. No, I would not reject the null hypothesis.c. I have no idea.

Answers

Answer:

Reject the null hypothesis that there is no difference between males and females on the recognition task.

Step-by-step explanation:

Use MS-Excel to compute the required values.

Consider the data for male subjects first:

Mean = [tex]\frac{1}{20}\sum X_{m}}=5.85[/tex] SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{m}-\bar X_{m})^{2}}=1.69[/tex] SEM = [tex]\frac{SD}{\sqrt{20}}=0.38[/tex]  

Consider the data for female subjects:

Mean = [tex]\frac{1}{20}\sum X_{f}}=8.15[/tex] SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{f}-\bar X_{f})^{2}}=0.93[/tex] SEM = [tex]\frac{SD}{\sqrt{20}}=0.21[/tex]  

Use the Data Analysis tool in Excel to perform the hypothesis test.

The hypothesis can be defined as follows:

H₀: There is no difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}=0[/tex] .

Hₐ: There is a significant difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}\neq 0[/tex] .

Consider the Excel output for the hypothesis test.

The test statistic value is:

t = -5.32

The degrees of freedom is:

df = 38

The p value associated with the t value is:

p-value =  4.91025E-06  < 0.05

As the p-value is less than the significance level the null hypothesis will be rejected.

Conclusion:

Reject the null hypothesis that there is no difference between males and females on the recognition task.

10 The table below shows the results of a swimming race.
Time (sec)
Name
Paula
47.983
Marci
50
Kelli
47.972
Susan
47.21
Carla
46
10
Brenda
46.97
Which of the following gives the first four finishers in order from 1st to 4th place
F Brenda, Carla, Marci, Paula
G Carla, Brenda, Marci, Susan
H Carla, Marci, Brenda, Susan
J Susan Marci Brenda. Carla

Answers

Answer:

G. Carla, Brenda, Marci, Susan

Step-by-step explanation:

The time given for all participants are in decimals except for that of Marci and Carla which are given in the form of mixed fractions.

Convert the mixed fractions into decimals, then compare the figures together to do the ranking.

Marci = [tex] 46\frac{49}{50} = \frac{2,349}{50} = 46.98 [/tex]

Carla = [tex] 46\frac{9}{10} = \frac{469}{10} = 46.9 [/tex]

The first four finishers from the 1st to the 4th are:

1. Carla - 46.9

2. Brenda - 46.97

3. Marci - 46.98

4. Susan - 47.21

1. Solve the shape equation puzzle?

Answers

Answer:

circle = 5, triangle = 2, square = 6

Step-by-step explanation:

If we look at the first and second equations, we see that circle + triangle + square = 13. Because triangle + square = 8, we can substitute this into the first equation, therefore, circle + 8 = 13 and circle = 5. Next, looking at the third equation, we see that circle + triangle = 7 and since circle = 5 we know that 5 + triangle = 7, therefore, triangle = 2. Finally, we can substitute triangle = 2 into the second equation which gives us 2 + square = 8, therefore, square = 6.

4a-2b+40 when a=2 and b=7

Answers

Answer:

34

Step-by-step explanation:

4(2)-2(7)+40

8-14+40

-6+40=34

4a-2b+40

4x2-2x7+40

8-14+40

-6+40

34 is the answer.

Jerome is an accounts payable clerk that when printing check used 1/4 of a box of check stock. How many checks did Jerome use for if 1000 checks are able to printed out of each box?

Answers

He used 250 checks.

3u+5u=64
What is the simplify of this
What does u

Answers

Answer:

u = 8

Step-by-step explanation:

3u + 5u = 64

8u = 64

8u/8 = 64/8

u = 8

Solve |f−6| = |f+8| Can someone please help me with this question? I'm stuck.

Answers

Answer:

no solution

Step-by-step explanation:

|f-6| = |f+8|

solve absolute values

f-6 = f+8

add 6 to 8

f = f+14

subtract f from f

0=14

not true; no solution

PLEASE HELP meeeeeeee

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}}}}[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \sf{ \sqrt{15k} (4 + \sqrt{3} )}[/tex]

Distribute √ 15 k through the parentheses

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{15k \times 3}}} [/tex]

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{45k} }}[/tex]

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}[/tex]

Hope I helped!

Best regards! :D

Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2
pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which Inequality could be used to
find b, the number of bowls that can be added to the box?
OA. 4(1.2) + 0.90 <12
OB. 4(1.2 +0.9b) 12
OC. 4(1.2) + 0.96 > 12
OD. 4(1.2 + 0.9b) 12

Answers

Answer:

yay ryan is getting rid of his kitchen plates!!!

Step-by-step explanation:

Answer:

I think it's A

Step-by-step explanation:

What is the length of an arc given that the measure of the central angle is 30 degree and the radius is 7 cm?

Answers

La longitud del arco (s) en una circunferencia, conociendo el radio (r) y el ángulo (θ) que forman los dos radios, es:

s = r∙θ

Con el ángulo en radianes

F V7 w7 :

Which phrase best describes f(x), graphed on the coordinate plane below?

Answers

answer.next time out the graph

Step-by-step explanation:

Answer:

It's A, an odd function

Which fraction has a repeating decimal as its decimal expantion

Answers

are there supposed to be answers on am i just stupid

Find the absolute value and solve the problem
|-23| + |-15|

Answers

Answer:

38

Step-by-step explanation:

|-23| + |-15|

First find the absolute values, which are the non negative values

23 +15

Then add

38

The answer is

23+15=38

a local hamburger shop soda combined order of 497 hamburgers and cheeseburgers on Friday there was 53 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Friday

Answers

Answer:

you need a answer I can see 425

For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]

Answers

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det [tex]\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right][/tex] ≠ 0

Determinant of a 3x3 matrix is calculated by:

det [tex]\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right][/tex]

[tex]8(1-\beta)-[2(2-2\beta)(1-\beta)][/tex]

[tex]8-8\beta-4+8\beta-4\beta^{2}[/tex]

[tex]-4\beta^{2}+4\neq 0[/tex]

[tex]\beta^{2}\neq 1[/tex]

[tex]\beta \neq \sqrt{1}[/tex]

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

Other Questions
Which of the following is not an advantage of a flowchart?a) Better communicationb) Efficient codingc) Systematic testingd) Improper documentation Which represents an Aztec adaptation to there environment? Simon Company's year-end balance sheets follow.At December 31 2014 2013 2012AssetsCash $ 31,600 $ 35,500 $ 37,400Accounts receivable, net 88,500 61,000 51,000Merchandise inventory 112,000 83,600 52,500Prepaid expenses 10,400 9,450 5,000Plant assets, net 278,000 257,000 234,000Total assets $ 520,500 $446,550 $ 379,900Liabilities and EquityAccounts payable $ 129,200 $ 73,000 $ 50,000Long-term notes payable secured bymortgages on plant assets 96,000 100,000 82,200Common stock, $10 par value 162,000 162,000 162,000Retained earnings 133,300 111,550 85,700Total liabilities and equity $ 520,500 $446,550 $ 379,900The company's income statements forthe y ears ended December 31, 2014 and 2013, follow.For Year Ended December 31Sales 2014 2013Sales $675,000 $630,000Cost of goods sold $398,250 $390,600Other operating expenses 202,500 144,900Interest expense 12,300 13,000Income taxes 9,550 8,925Total costs and expenses 622,600 557,425Net income $ 52.400 $ 72,575 Earnings per share $ 3.23 4.48Evaluate the company's efficiency and profitability by computing the following for 2014 and 2013.1. 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