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
It took a skydiver 12 seconds to drop 450 feet. What is the rate (in feet per/second) of the skydiver's drop?
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.
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?
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
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 =
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.
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°
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)
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
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)
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
Answer:
580
Step-by-step explanation:
Find output, y when the input, x, is -3 Y=
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
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
[tex] \frac{p}{12} [/tex]
hope it helps u
85 / 16 with a remainder
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?
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
Answer:
The answer is 9
Step-by-step explanation:
4/9 = 9/4
Is 3 a factor of 245 - 16?
yes
no
HELPPP
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?
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
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)?
Answer:
f(3) = 9Step-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
Answer:
I think that it is n<3
Step-by-step explanation:
help for brainlest what can be use ti
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!
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
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
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...?
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
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?
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
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: