Answer:
f'(x) = 4 + 80x³
General Formulas and Concepts:
Calculus
The definition of a derivative is the slope of the tangent line.
We can take the derivative/distribute it over addition and subtraction.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define function
f(x) = 4x + 20x⁴
Step 2: Find 1st derivative
Basic Power Rule (1st term): f'(x) = 4 · 1x¹⁻¹ + 20x⁴Basic Power Rule (2nd term): f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹Simplify: f'(x) = 4 + 80x³Please help 30 points plus brainlyist who does first
Determine which expressions can be simplified further, and which cannot. Sort the expressions into the correct
category
2x + 3y
Can Be Simplified
Cannot Be Simplified
x + x
4r +
7y + 1
4y + 4x
y + 2y
Answer:
Step-by-step explanation:
expresion can be simplified is they have like terms such as
x+x=2x
y+2y=3y
expresions can NOT be simplified if they have difrerent variables or just one number suchh as
2x+3y
7y+1
4y+4x
I do not know what is 4r+
Answer:
can - y +2y
9x+6x
4x+x
can't 4y+4x
7y+1
2x+3y
Simplify
114
11
1
1112
01
114
0 114
0 11 12
What is the coefficient of the third term in this expression? a^2+3c^3+6b^3
Answer: The coefficient is 3c
Step-by-step explanation:
Convert 70°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=-(F-32)
9
F=-C +32
5
70 °F =
Х
?
Answer:
C=(F-32)×5/9
C=(70-32)×5/9
C=38×5/9
C=21.1111
C=21°C
Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.
What is its new position below sea level?
32 + 28
32 – 28
–32 + 28
–32 – 28
If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?
Answer:
hmm, imma have to do the problem
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME ON THE TOP ONE !!!!!!
Answer:
[tex]the \: slope \: is \to \boxed{-3} \\ the \: y \: intercept \to \boxed{18}[/tex]
Step-by-step explanation:
[tex]the \: solpe \: \boxed{m} = \frac{9 -1 2}{3 - 2} = -3 \\ y = mx + c \\ 12 = (-3)(2) + c \\ c = 12 + 6 = 18[/tex]
Which expression is equivalent to -4 - 9?
A. 4 + 9
B. 4 - 9
C. -4 + (-9)
D. -4 + 9
Answer:
C
Step-by-step explanation:
-4-9= -13
-4 + (-9) = -13
In ΔGHI, the measure of ∠I=90°, the measure of HI=47 Feet, and IG = 93 feet. Find the length of ∠G to the nearest degree
Answer:
27.0
Step-by-step explanation:
Tan G= opposite/adjacent=47/93
Tan G=47/93
G=tan ^-1(47/93)
G=26.811~26.8 degree
G=26.811 and/or 26.8
PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?
Answer:
try 15 / 2.25
Step-by-step explanation:
If 1 and 2/3 cups of something fills 3/4 of a container, how many cups fill the container
Answer:
64
Step-by-step explanation:
7 4/10 greater than 7.421
Answer:
False
Step-by-step explanation:
7 4/10= 7.4
7.4<7.421
Alex deposits $4,000 in a savings account that pays 5% interest, compounded semiannually. What is his balance after one year?
Answer:
$4400
Step-by-step explanation:
I just looked up on google what was 4000 + 10%
Hope this helps!
Alyssa performed an experiment to measure the acceleration of a falling ball. She ran the experiment many times. Her results were distributed normally, with a mean of 9.75 meters per second and a standard deviation of 0.08 meters per second. Alyssa can be 95% sure that her next measurement will fall between the values of and meters per second.
Answer:
Alyssa can be 95% sure that her next measurement will fall between the values of 9.59 and 9.91 meters per second.
Step-by-step explanation:
I just took the test and got it right
The 95% measurement will fall between 9.59 m/s and 9.91 m/s
Given;
the mean of the normal distribution, m = 9.75 m/s
standard deviation from the mean, d = 0.08 m/s
To find:
the range of Alyssa's 95% data
let this range = X
The 95% of the data will fall within 2 standard deviation below and the above the mean.
2 standard deviation below the mean = m - 2d
2 standard deviations above the mean = m + 2d
From the given values, m - 2d = 9.75 - 2(0.08) = 9.59 m/s
m + 2d = 9.75 + 2(0.08) = 9.91 m/s
Thus, the range of the 95% data = 9.59 m/s < X < 9.91 m/s
To learn more about standard deviation, please visit: https://brainly.com/question/22826298
Karina pays $2.64 for pencil erasers. The erasers cost 0.11 each. how many erasers did she buy?
Answer:
She bought 24 erasers
Step-by-step explanation:
$2.64 ÷0.11=24
Answer: Karina bought 24 erasers.
Step-by-step explanation:
$2.64 ÷ 0.11 = 24 erasers
Dustin decides to try selling whole-wheat muffins and bagels at his farm stand. He has $60 to spend on ingredients and 8 hours to prepare the muffins and bagels that he will sell on opening day. One dozen muffins costs $10 and takes 1 hour to make, while one dozen bagels costs $15 and takes 3 hours to make. Graph all possible combinations of the food that meets his goal. Which combination of bagels and muffins would meet Dustin's goal?
A. 4 dozen bagels and 3 dozen muffins
B. 2 dozen bagels and 6 dozen muffins
C. 3 dozen bagels and 1 dozen muffins
D. 1 dozen bagels and 3 dozen muffins
Answer:
The correct answer is D.
Step-by-step explanation:
Option A establishes that 4 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 60 and 12 hours on bagels. In total, $ 90 and 15 hours will be spent, so this option is not correct.
Option B establishes that 2 dozen bagels and 6 dozen muffins will be prepared, thus spending $ 60 and 6 hours on muffins and $ 30 and 6 hours on bagels. In total, $ 90 and 12 hours will be spent, so this option is not correct either.
Option C states that 3 dozen bagels and 1 dozen muffins will be prepared, which will spend $ 10 and 1 hour on muffins and $ 45 and 9 hours on bagels. In total, $ 55 and 10 hours will be spent, so this option is not correct.
Finally, option D establishes that 1 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 15 and 3 hours on bagels. In total, $ 45 and 6 hours will be spent, with which this option is within the predetermined parameters, that is, the expense is less than $ 60 and the time is less than 8 hours.
A brand of popcorn instructs users to microwave for 90–120 seconds on high. A student wonders what the ideal microwave time for popcorn might be and designs an experiment to find out. Bags of popcorn are placed in the microwave for different lengths of time: 90 seconds, 100 seconds, 110 seconds, and 120 seconds. Also, 2 types of microwaves with different power capacity will be used: 900 watts and 1,000 watts. At the end of the experiment, the number of unpopped kernels will be counted.
Using 3 lengths of time and 2 types of microwaves describes which part of the experiment?
the levels
the treatments
the response variable
the experimental units
Answer:
A.) the levels
Step-by-step explanation:
edge 2020
Answer:
A
Step-by-step explanation:
edge2o2o
giving 30 points &’ brainliest to whoever can help w there two questions!!
Answer:
binomial and not a polynomial
Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17
True or False
The graph of y=2x is similar but also different from the graph
of y=2x−7.
Group of answer choices
True
False
Explain the reasoning of your answer above.
PLEASE HURRY!!!
Answer:
false bc the y intercept is in a different place which in return would alter the entire equation
Answer:
False. This is because -7 is not apart of the given equation, thus the equation is not similar. (rule of slope intercepts)
What is the slope of the line through
(
−
5
,
−
10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(
−
1
,
5
)
(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?
tysm
Answer: y=15/4x+35/4
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below?
(8x + 12) + (9x - 3)
A.
20x - 6
B.
17x + 9
C.
29x - 3
D.
17x + 15
Answer:
b
Step-by-step explanation:
Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?
I Hope this helps u out
Solve for e 0.75(8+e)=2-1.25e
{ consonants in the word MATHS}
Answer:
M, t, h, and s are the consonants in the word maths.
Answer:
If you are asking for a definition, a constant is the letter in aan algebraic expression that never changes.
For Example: 5x + y
y is the constant.
Please help.
Solve the System of Equations by Graphing
y=4
3x+4y=4
Answer:
graph below
Step-by-step explanation:
Graph in image below
What is J/-12 > 9??
Answer:
j > - 108
Step-by-step explanation:
Step 1:
j / - 12 > 9 Equation
Step 2:
j > 9 × - 12 Multiply - 12 on both sides
Answer:
j > - 108
Hope This Helps :)
Answer:
j<−108
Step-by-step explanation:
j
−12
>9
Step 1: Simplify both sides of the inequality.
−1
12
j>9
Step 2: Multiply both sides by 12/(-1).
(
12
−1
)*(
−1
12
j)>(
12
−1
)*(9)
j<−108
Answer:
j<−108
If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell
Answer:
It would be three coconuts hope this helped
Step-by-step explanation:
f(x) = x + 2
Find f(-5)
Answer:
f(-5) = -3
Step-by-step explanation:
f(x) = x + 2
Let x = -5
f(-5) = -5 + 2
-3
M=3 (-4,-7) PLease include steps!!( I will give brainliest)
Answer:
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation: