Hi. I need help with these questions (see image)
Please show workings.

Hi. I Need Help With These Questions (see Image)Please Show Workings.

Answers

Answer 1

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x


Related Questions

It took a skydiver 12 seconds to drop 450 feet. What is the rate (in feet per/second) of the skydiver's drop?

Answers

Answer:

37.5 feet per second

Step-by-step explanation:

Answer:

37.5 ft per second

Step-by-step explanation:

Explain why you cannot factor the trinomial x2 – 15x + 3

A. There are no factors of 3 that add up to -15

B. It can be factored

C. There are no factors of -15 that add up to 3.

Answers

Answer:

there are no factors of -15 that add up to 3

Answer:

It is A trust me

Step-by-step explanation:

There are 12 girls and 18 boys in a class. What is the largest number of groups they can be split into and have the same number of boys and girls on each team?

Answers

12 cause that is the max amount of girls and there is no other way to get the groups even if you go over.

Please help!!
Will mark brainliest

Answers

Answer:

y = 2

Step-by-step explanation:

y=2 every time you add 3 to x your adding 2 to the y

-3 + 3 = 0 and 3 + 2 = 5

0 + 3 = 3 and 5 + 2 = 7

To map △PQR onto △STU, there must be a factor k that reduces △PQR.
Find each length.
PQ = 5
QR = 7
ST = 5
TU = 5
Step 2 out of 5:
If kPQ = ST, then k =

Answers

Answer: k=1

Step-by-step explanation: PQ already equals ST

Part A
Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones? Type your answer in scientific notation.

Part B
How many combined bits of storage do Theresa’s parents have on their phones? Type your answer in scientific notation.

Part C
How many combined bits of storage are there on the two tablets?

Part D
Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether? Type your answer in scientific notation.

Part E
Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage? Type your answer in scientific notation.

Answers

Answer:part A including SD cards, Theresa and Ruben have 2.624 x 10^11 bits of storage.

Part b :32 bits

Step-by-step explanation:sorry that's all I know

Hope I helped

The required, solution of the given numeral in scientific notation is shown.

What is scientific notation?

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,

Part A: Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones?

Answer: 6.4 × 10¹¹ bits

Part B: How many combined bits of storage do Theresa’s parents have on their phones?

Answer:  2.4 × 10¹¹ bits

Part C: How many combined bits of storage are there on the two tablets?

Answer: 3.6 × 10¹⁰ bits

Part D: Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether?
Answer:6.9 × 10¹² bits

Part E: Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage?
Answer:8.6 × 10¹² bits

Learn more about scientific notation here: https://brainly.com/question/13091583
#SPJ3

tan 235° = 2tan20°+ tan215°​

Answers

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

what is the distance between (-5,8) and (-5.-8)

Answers

Answer: Use the formula y = mx + b in order to solve for b. Then, plug in known vaules.

y= -13x -57

Step-by-step explanation:

2(x+1) please do full steps and answer thank you i will give brainlist

Answers

Distribute the parentheses:

2(x + 1)

2 · x = 2x

2 · 1 = 2

2(x + 1) = 2x + 2

Simplify the following expression.
3^3/5• 3^(-7/5)

Answers

Answer:

[tex]\frac{1}{3x^{\frac{4}{5}}}[/tex]

Step-by-step explanation:

Subtract the exponents: 3/5 - 7/5 = -4/5

Equation would become 3^-4/5

Which is equivalent to 1/3x^4/5

The answer to the problem

Answers

Answer:

580

Step-by-step explanation:

Find output, y when the input, x, is -3 Y=

Answers

Answer:

2

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Locate x = - 3 on the x- axis, go vertically up to meet the graph at (- 3, 2 )

Then when x = - 3, y = 2

pls help it’s gonna be graded and im lost

Answers

Answer:

Im not sure but it might be the fourth one.

Step-by-step explanation:

if its wrong im SOOO sorry :(

What is the prouduct of the number p and 12

Answers

[tex] \frac{p}{12} [/tex]

hope it helps u

85 / 16 with a remainder

Answers

Answer:

the top number is the answer and the remainder is the bottom number  in decimals its = 5.31

Step-by-step explanation:

hope this helped

Alice gets a job selling boots, and is given the option of wages plus commission, or commission only. In the first option, she would earn $33 in wages for each day of work, plus $2.50 for every pair of boots sold. Under the commission only option, she would earn no wages, and $3.25 for every pair of boots sold. How many pairs of boots would Alice have to sell in one day to make the two options equal?

Answers

Answer:

44 pairs of boots

Step-by-step explanation:

As per two options given to Alice,

1). Wages of $33 for each day work + commission of $2.5 for every pair sold.

 If Alice sells x pairs of boots in a day, then total amount earned by Alice,

 = (33 + 2.5x)

2). Commission of $3.25 for every boot sold.

  If Alice sold x pairs of boots, total earnings of the day = 3.25x

If earning of Alice is equal in both the plans,

(33 + 2.5x) = 3.25x

3.25x - 2.5x = 33

0.75x = 33

x = 44

Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.

giving brainliest to whoever can solve correctly

Answers

Answer:

The answer is 9

Step-by-step explanation:

4/9 = 9/4

Is 3 a factor of 245 - 16?
yes
no


HELPPP

Answers

Answer:

No

Step-by-step explanation:

For 3 to be factor your finale number has to be divisible by 3, so with that information all you have to do is subtract 245-16 which is 229, and if you divide 229 by 3 it does not equal a whole number so 3 cannot be a factor.

I hope this helps, and have a great day! :D

Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?

Answers

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

PLS HELP!!! it’s easy and i’ll give brainliest

Answers

Answer:

6.5

Step-by-step explanation:

8÷tan(51)=6.47...

              =6.5(correct to the nearest tenth)

             

If f(x) = x² + 1 then what is f(3)?

Answers

Answer:

f(3) = 9

Step-by-step explanation:

given:

[tex]f(x)=x^2[/tex]

[tex]f(3)=3^2[/tex]

[tex]f(3)=9[/tex]

just insert the value in and you get your answer

I need help on this please n-5>-2

Answers

Answer:

I think that it is n<3

Step-by-step explanation:

help for brainlest what can be use ti

Answers

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

36

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

Help please! It’s due at 11pm!

Answers

Answer:

it's -7 + 5= -2 I think im not sure

plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?

270 degrees clockwise rotation


90 degrees clockwise rotation

180 degrees rotation

90 degrees counterclockwise rotation

Answers

Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

Use the distributive property to match equivalent expressions.
-7(4 + x)
-28 + 2x
7(4 + x)
28-7X
7(4-x)
28 +7x
-7(4x)
-28-7x
Intro
Done

Answers

Answer:

by distributing you need to multiple by using the 7 in front and use that 7 to multiply each number inside

1. -7(-4+x) -> 28-7x

2. 7(4+x) -> 28+7x

3. 7(-4-x) -> -28-7x

4. -7(4-x)-> -28+7x

Hello Guys will ya'll pls help me with these
quiestions...?

Answers

Answer:

I'll help you with this so reflections is not hard.

For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).

For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).

sign is basically + or - if need to know.

I hope this helps you in the long run.

Clark is removing dirt from a rectangular section of his backyard to build a water feature. The section is 2.9 meters long and has an area of 8.7 square meters.

2.9x = 8.7

What is the width of the section of Clark's backyard?
A.
3 meters
B.
5.8 meters
C.
4 meters
D.
2.23 meters

Answers

Answer:

B

Step-by-step explanation:

Plz help!!
A concession stand sells 3 hot dogs for every 4 hamburgers. Hot dogs come in packages of 8.
How many packages of hot dogs does the owner need to buy if he predicts he will sell 256 hamburgers?

Answers

Answer:

The concession stand sold  46  hot dogs and  32  hamburgers.

Step-by-step explanation:

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−7, 3) and T(3, 3). What is the length of Side RT of the polygon?


4 units

6 units

10 units

16 units

Answers

Answer: 6 units
Hope this helps

Answer:

The answer is 10 units because if you add up all the units that would be on the side you will get 10

Step-by-step explanation:

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