Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-4}{3x^5}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{\frac{1}{x^4}}{3}[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx} \bigg[ \frac{1}{x^4} \bigg][/tex]Rewrite: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-4}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-4x^{-5})[/tex]Simplify: [tex]\displaystyle y' = \frac{-4}{3x^5}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answer:
bro i didt undersated the question
Step-by-step explanation:
What is the volume of the rectangular solid below?
plzzzz help
Describe the figure that is created with the points ( -2, -3) ( - 2, 5, (1, -3), and (1, 5)
Answer:
Hi! The answer to your question is Rectangle
Step-by-step explanation:
↗✧*☆*: .｡..｡.:*☆♪↗✧*☆*: .｡..｡.:*☆♪
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
can someone help me
Answer:
Step-by-step explanation:
The base is 4 and the length is 8 b x l 8×4 =32
Jill and Marlando are creating patterns
Answer:
15
Step-by-step explanation
3x5 is 15
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm
Find the median of the data in the dot plot below.
Answer:
The answer is 25.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Answer:
25
Step-by-step explanation:
All the data values from least to greatest:
20, 23, 23, 25, 25, 27, 27, 27, 28
Since the data values are odd, the middle value is the median:
25
A nonlinear function Group of answer choices is a function with a slope that is not constant. is a concept that only applies to the case of a single or two explanatory variables since you cannot draw a line in four dimensions. makes little sense, because variables in the real world are related linearly. can be adequately described by a straight line between the dependent variable and one of the explanatory variables.
Answer:
is a function with a slope that is not constant.
Step-by-step explanation:
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.
On the other hand, nonlinear function has a negative relationship and as such an increase in one variable (input variable) causes a decrease in the other variable (output variable) i.e the variables are inversely proportional.
This ultimately implies that, the graph of a nonlinear is a curved line and whose direction is constantly changing.
Hence, a nonlinear function is a function with a slope that is not constant. An example of a nonlinear function is a quadratic function or equation.
The local hunt club wanted an estimate of how many deer were in their county. They captured, tagged, and released 75 deer. Then they captured 55 deer, of which 15 were tagged. How many deer are in their county?
Find the circumference and area of a circle with diameter of 18 inches. Use 3.14 for pi. Write your answer as decimals rounded to the nearest hundredth.
a. C = 56.52 in, A = 1017.36 in2
b. C = 56.52 in, A = 254.34 in2
c. C = 113.04 in, A = 254.34 in2
d. C = 113.04 in, A = 1017.36 in2
e. None of the above are correct.
Answer: b
Step-by-step explanation:
Radius = 9 inches, Pi= 3.14
Circumference = 2 x pi x radius = 2 x (3.14) x 9 = 56.52
Area = pi x radius x radius = (3.14) x 9 x 9 = 254.34
Answer:
Answer attached
Step-by-step explanation:
Carissa recently retired, and has $540,000 in savings. She wants to invest as much as possible in a safe CD account paying 1.2% interest, and as little as possible in a riskier bond paying 4.7% interest. She needs to earn $14,880 a year in interest to cover expenses above SSI. How much should she invest in each account?
Answer:
Don't awnser the bots
Step-by-step explanation:
They will try ro scam you
Based on the information in the diagram, what is the length of side b?
Answer:
29
Step-by-step explanation:
The length of side b is 36.
What is the length of side b?
Triangle 1 and 2 are similar triangles. In order to determine the length of side b, the ratio of the lengths given has to be determined.
45/10 = 4.5
This means that triangle 2 is 4.5 times larger than triangle 1.
Length of side b = 4.5 x 8= 36
To learn more about similar triangles, please check: https://brainly.com/question/10658464
You pick a card at random. 5 6 7 8 What is P(divisor of 8)? 11% 83% 25%
Answer:25%
Step-by-step explanation:
You have a 25% (1 in 4) to pick 8
Kelly purchased a t-shirt
for 9.99 and a pair of
jeans for $21.50. The
sales tax rate is 8.25%.
What was the total cost
of Kelly's purchase
(including sales tax)?
PLEASE HELP
Answer:
34.09
Step-by-step explanation:
Answer: $34.09
Step-by-step explanation:
Kristy rides 6 miles on her bike in 40 mins. Jax rides his bike 4 miles in 30 mins. Drag the tiles to complete the ratio tables. Tiles may be used once, more than once, or not at all
Answer:
12
Step-by-step explanation:
Answer:
Jax 4,8,12,16,20
And the last box is 60
Step-by-step explanation:
what linear equation is represented by the table
0 -2
1 2
2 6
3 10
14 + 3 [81 - (4x6)]
Please Show Your Work!
Answer:
185
Step-by-step explanation:
first multiply to get 14+3(81-24)
then calculate to get 14+3*57
multiply and get 14+171
the calculate to get your final answer which is 185
Answer:
969
Step-by-step explanation:
4x6+=24
81-24=57
14+3(57)
17(57)
969
What does APS Stand for
apple presents stop motion studios?
what is 32 + 7898 - 400 + 12 divided by 667
Answer:
(Short answer) 11.3073
(Long Answer) 11.3073463268
Step-by-step explanation:
32 + 7898 - 400 + 12 = 7542
7542 / 667 = (Short answer) 11.3073
(Long Answer) 11.3073463268
Which of the following choices shows the proper use of the distributive property?
оооо
-2(6x - y) = -12x + 2y
-2(6x - y) = 12x + 2y
-2(6x - y) = 12x - 2y
-2(6x - y) = -12x - 2y
What’s the answer
Answer:
[tex]-2(6x - y) = -12x +2y[/tex]
Step-by-step explanation:
Required
Which shows distributive property
Distributive property states that:
[tex]a(b + c) = a * b + a * c[/tex]
So, the solution to -2(6x - y) is:
[tex]-2(6x - y)[/tex]
Open bracket
[tex]-2(6x - y) = -2 * 6x -2 *-y[/tex]
[tex]-2(6x - y) = -12x +2y[/tex]
(a) is true
9. Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught. Length of Waldo's Fish + 16 15 17 18 19 20 21 22 Inches Length of Freddy's Fish
The Range of the length of the fish caught by Freddy is Greater than the range of the length of the fish caught by Waldo.
Step-by-step explanation:
Which equation matches the table?
Answer:
Wait that makes no since but i would say 4 input and 28 input
Step-by-step explanation:
On the number line, plot and label all numbers with an absolute value of 32. Where did you place the points?
Answer:
on 32 and -32
Step-by-step explanation:
Solve the inequality write the answer in interval notation 5x<10 or 15-x<7
Answer:
[tex]\left \{ {{x<2} \atop {y>8}} \right.[/tex]
Step-by-step explanation:
A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe
Answer: 2.90 acres.
Step-by-step explanation:
1.45x2 or 1.45 + 1.45
5th grade math. correct answer will be marked brainliest
Answer:
Step-by-step explanation:
The answer is 4/8 or 1/2 pie
Answer:
The answer is 4/8 or 1/2 pie
Have an amazing day :)
attachment
look at it
Answer:
The first one 4(m-5)
Step-by-step explanation: 4 goes into M turning into 4m. Then 4 goes into 5 turning into 20 which is 4m-20
There are 7 red marbles, 7 blue marbles, 7 yellow marbles, and 7 green marbles in a bag. If a person randomly selects 1 marble from the bag, what is the probability that the person selects a blue marble?
Total marbles: 7 + 7 + 7 + 7 = 28
There is a total of 28 marbles. 7 are blue.
The probability is the number of blue/ total marbles = 7/28 which reduces to 1/4
The probability is 1/4
Answer:
have a good day/night may i please have a branllist
Step-by-step explanation:
1/3
There is 21 marbles and if you divided by 3 it gets 7.
7/21 is equal to 1/3
Therefore the possibility of picking a blue marble is 1/3.
there are an equal amount of all three colors of marbles in the bag, so the probability of selecting a blue marble is just 1/3.
I need help someone help me out!
[tex]{ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}[/tex]
[tex]{ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}[/tex]
Option = A is rightFind the measures of the numbered angles in the isosceles trapezoid.
m<1=
9514 1404 393
Answer:
49°131°131°Step-by-step explanation:
The base angles are congruent in an isosceles trapezoid.
∠1 = 49°
Same-side angles are supplementary in any trapezoid.
∠2 = ∠3 = 180° -49°
∠2 = ∠3 = 131°