Answer:
[tex]3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]
Step-by-step explanation:
Product rule, noticing that the second function is composed.[tex]g'(x) = (3x^2)\cdot cos(\pi x) + (x^3) \cdot [-\pi sin(\pi x)] = 3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]
Hello!
We can use the product rule to differentiate this function.
Let g(x) = f(x) · h(x).
Recall the following:
[tex]\frac{dy}{dx} f(x) * h(x) = f'(x)h(x) + h'(x)f(x)[/tex]
In this instance, let:
[tex]f(x) = x^3\\\\h(x) = cos(\pi x)[/tex]
Differentiate each.
f(x):
Use the product rule:
[tex]\frac{dy}{dx}x^n = nx^{n-1}\\\\f'(x) = 3x^{3-1} = 3x^2[/tex]
h(x):
Use the chain rule.
[tex]h'(x) = \pi (1) * -sin(\pi x) = -\pi sin(\pi x)[/tex]
Now, we can use the above product rule.
[tex]g'(x) = 3x^2 * cos(\pi x) + (-\pi sin(\pi x) * x^3)\\\\\boxed{g'(x) = 3x^2cos(\pi x) - \pi x^3 sin(\pi x)}[/tex]
12.42 x 28.6 gbrbgrbfgbvfvffvfgfgfgfgfggfg
Answer:
Step-by-step explanation:
355 53/250 = 355.212
Help help math math math math
Answer:
(-2, -2)
Step-by-step explanation:
Firstly you can substitute the y= -6x -14 Directly into the other equation having one equation that looks like this 8x+3(-6x-14)= -22 then solve for X and substitute in the y equation you also get the y value
Answer:
(-2, -2)
Step-by-step explanation:
please help
every package of a certain caculator also includes 4 batteries. select all equations that represent the relationship between the number of packages and the number of batteries
a.) p = 4b
b.) b = 4p
c.) p=1/4b
d.)b= 1/4p
Answer:
c
Step-by-step explanation:
Determine the value of x circles
One year, the population of a city was 354,000. Several years later it was 414,180. Find the percent increase.
well, from 354000 to 414180, their difference is 414180 - 354000 = 60180.
if we take 354000 to be the 100%, what is 60180 off of it in percentage?
[tex]\begin{array}{ccll}amount&\%\\\cline{1-2}354000&100\\60180&x\end{array}\implies \cfrac{354000}{60180}=\cfrac{100}{x}\implies \cfrac{100}{17}=\cfrac{100}{x}\\\\\\100x=1700\implies x=\cfrac{1700}{100}\implies x=17[/tex]
The percent increase in the population is 17%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the population of the city increased from 354000 to 414180.
The amount of increase is:
414180 - 354000
= 60180
The percent increase is given by:
(60180/354000) × 100%
= 17%
Hence, the percent increase in the population is 17%.
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A snail moves through a garden and travels 1 1/8 meters in 1 1/2 min.What is the snails rate in min per meters
Answer:
im guessing 11/6 but dont say that answer if nobody else agreed
Step-by-step explanation:
Answer: The answer is 4/3 or 0.75
(3х +20) (5х – 16)
Find x
Answer:
x=18?
Step-by-step explanation:
oops if its expanding brackets x doesnt equal to 18
Answer:
The Value Of X Is 15x^2+52 hope it helps u
Awnser me pkeaeeeeeeeeee
Answer:
46.01
Step-by-step explanation:
i.e sum of all the purchases + 7% of the total purchase.
can somebody explain how to do this
don't give me an answer
Answer:
270°
Step-by-step explanation:
a reflex angle is an angle which is larger than 180° but smaller than 360°
an angle around a point is 360°
so to find angle B we do [tex]360-90[/tex] to give 270
so angle B is 270°
1 + 1 in standard form
Answer:
1+1 is standard
Answer:
It is
[tex]2 \times {10}^{0} [/tex]
Step-by-step explanation:
1+1=2 and the equation above represents 2.
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Here is a prism. Its face is made from 6 identical squares
with side length 2 cm.
12 cm
2 cm
Diagram not drawn to scale
Work out the volume of the prism.
State the unit of your answer.
The volume of the prism that its faces is made from 6 identical squares is 48 cm³.
Volume of a square prismA square prism is a 3-dimensional cuboid where the base and top are equal squares.
v = a²hwhere
a = side length
h = height
Therefore,
a = 2 cm
h = 12 cm
Therefore,
v = a²h
v = 2² × 12
v = 4 × 12
v = 48 cm³
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Answer:
288cm (cubed)
Step-by-step explanation:
4*2=8*12=96
6*2=12*12=144
2*2=4*12=48
144+96+48=288
Which number is divisible by both 3 and 9?
OA) 21,369
OB) 27.621
OC) 27,629
OD) 36,663
Answer: A) 21,369
Step-by-step explanation: since 21,369 can be divided by 3 and = a whole number then it's divisible and also it's divided without a remainder / it's compatible so, 21,369/3= 7,123 which makes (A) your correct answer
Lotto Texas offers multi-million dollar jackpots with drawings every Wednesday and Saturday. Lach $1 ticket allows the player to pick 6
numbers from 54. To win the jackpot, all 6 numbers must match (in any order)
How many different lottery tickets could be sold?
How many ways are there to win the jackpot? I
How many ways are there to match 5 of 6 numbers?
How many ways are there to match 3 of 6 numbers?
How many ways are there to match 4 of 6 numbers?
The computation of the probability from the jackpots drawings of Lotto Texas shows that the number of different lottery tickets that could be sold is 25827165.
How to calculate the probability?The number of different lottery tickets that could be sold will be:
= 54C6
= 54! / (54-6)!6!
= 54! / 48!6!
= 25827165
The number of ways that are there to match 5 of 6 numbers will be:
= 6C5 × (54 - 6)C1
= 6 × 48
= 288
The number of ways that are there to match 3 of 6 numbers will be:
= 6C3 × (54 - 6)C3
= 20 × 17296
= 345920
The number of ways that are there to match 4 of 6 numbers will be:
= 6C4 × (54 - 6)C2
= 15 × 1128
= 16920
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A major grocery store chain is trying to cut down on waste. Currently, they get peaches from two different distributors, WholeFruits and GreenGrocer. Out of two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. She then makes a confidence interval. Is there a significant difference in the quality of the peaches between the two distributors
There is a significant difference in the quality of the peaches between the two distributors because:
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.What does confidence interval of 95% mean?A confidence interval is a term that connote an estimate (plus or minus) the variation that may be seen in that specific estimate.
A 95% confidence interval implies that if a person do a research such as (two different distributors, e.g. WholeFruits and GreenGroce) and took 100 different samples and then compute a 95% confidence interval for each sample, it therefore means that about 95 of the 100 confidence intervals will hold the true mean value (μ).
See options below
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 LOWER than the proportion of non sell-able items for Green Grocer.
We are 95% confident that the proportion of non sell-able peaches for Whole Fruits is about -0.064 and 0.156.
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.156 LOWER and 0.064 HIGHER than the proportion of non sell-able items for Green Grocer.
We are 95% confident that the proportion of non sell-able peaches from Whole Fruits is anywhere between 0.064 and 0.156.
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.
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Question 8 of 10
Which describes the money that a business makes when it sells goods or
services for more than it spent on the goods and services?
A. Cost
Ο Ο
B. Revenue
C. Loss
D. Profit
O
SUBMIT
The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.
Option D is the correct answer.
What is a profit?Profit is the difference between the selling price and the cost price.
We have,
Revenue refers to the total income that a business generates by selling goods or services.
Cost refers to the total expenses incurred by a business in order to produce and sell those goods or services.
Profit is the difference between revenue and cost.
It is the money that a business makes when it sells goods or services for more than it spent on producing and selling them.
Profit is important for businesses as it allows them to invest in growth and development, pay dividends to shareholders, and sustain their operations over the long term.
Thus,
The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.
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PLEASE HELP PLEASE PLEASEEEE TY
Answer: 120
Step-by-step explanation: To find the volume of these two combined, we must use V = s*s*s. 4 * 10 * 2 = 80, and 2 * 5 * 4 = 40, and since we are combining this together for an added volume (since it is a tower), it is 120 inches cubed.
What is another name for k in algebra
Find the value of x so that the line that passes through the points A(5,x) and B(2,-3) has a slope of 5/3
Answer:
Find the equation of the straight line that has slope m = 4 and passes through the point (–1, ... In the slope-intercept form of a straight line, I have y, m, x, and b. ... ...so y = ( – 2/3 ) x + 8/3
Isaac is multiplying 4 X 3/4
Answer: 3
Step-by-step explanation:
camper attaches a rope to the top of her tent to give it more support. She stakes the rope, which is 8 ft long, to the ground at a distance of 6 feet from the middle of her tent. About how tall is her tent?
Answer: 5.3 feet
Step-by-step explanation:
The scale of the drawing was 1 centimeters:4 meters.What is the ratio of the drawing?
9514 1404 393
Answer:
1 : 400
Step-by-step explanation:
A meter is 100 cm, so 4 m = 400 cm.
1 cm : 4 m = 1 cm : 400 cm = 1 : 400
Answer:
1:400 w7uwuwwuwiwiwyyyuuiyy
The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this.
What is the deepest point in the Baltic Sea relative to the surface?
Answer:
-459
Step-by-step explanation:
-52 - 407 = -552 + (-407) = -459
please help asappppppp
Answer:
If we classify the shapes shown in the picture, we can see that there are 4 triangles and one square.
First, we need to find out the formulas for the areas of these shapes.
Formula for area of triangle;
A = BH x 1/2
where b represents the base, and h represents the height
Formula for area of square;
A = a^2
where 'a' represents the length of one side of a square
Now we just plug in the actual values to these formulas:-
(Finding area of square first)
A = a^2
A = 2^2
A = 4
Now, we find the area of one triangle and multiply it by 4 because there are four of each of those triangles.
A = BH x 1/2 x 4(no. of triangles)
A = 2(3) x 1/2 x 4
A = 6 x 1/2 x 4
A = 6/2 x 4
A = 3 x 4
A = 12
Now we add the two areas together;
4 + 12 = 16 square feet
100 POINTS
how much money would we have if we did only interest on this account in 11 years When kolton starts college?
From a group of six people, two individuals are to be selected at random. How many selections are possible?
Answer:
15
Step-by-step explanation:
bill and jill were asked to simplify √ 72 bill got an answer of 3√ 8 and jill got an answer of 6√ 2 who is correct explain below why they are correct and/or why the other person is incorrect
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
When simplifying surds you need to find a square number that the number is divisible by. In this case root(72) would be divisible by root(36).
This would then turn into [tex]6\sqrt{2}[/tex]. (72 divided 36 is 2 and root(36) is 6)
One-fifth of an even number added to one-sixth of the next even number makes a total of 15. find the two numbers
(Hint: let the number be x and x + 2.)
Answer:
40 and 42
Step-by-step explanation:
Let the two even numbers be x and x+2.
"One-fifth of an even number:" (1/5)x
"one-sixth of the next even number:" (1/6)(x+2)
Added they make 15: (1/5)x + ((1/6)(x+2)) = 15
(1/5)x + ((1/6)(x+2)) = 15
(1/5)x + (1/6)x+(1/6)*2 = 15
(1/5)x + (1/6)x+(2/6) = 15
(6/30)x + (5/30)x = 15 - (1/3)
(11/30)x = (45/3) - (1/3)
(11/30)x = (44/3)
x = (30/11)*(44/3)
x = 40
x + 2 = 42
====
Check:
Does
(1/5)(40) + (1/6)(42) = 15?
8 + 7 = 15 YES
The two even numbers are 40 and 42
Wyatt bought 5.73 ounces of chocolate. 0.01 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Wyatt buy?
Answer:
5.72?
Step-by-step explanation:
5.73-0.01=5.72
Answer:
5.72 ounces
Step-by-step explanation:
It is very simple.
Subtract the 0.01 ounces of milk chocolate from the total amount of chocolate
5.73 - 0.01 = 5.72
Wyatt bought 5.72 ounces of dark chocolate.
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g - 32 = 52
a) obtain a formula for g
b) Solve for g
Answer:
a) obtain a formula for g
=> g - 32 = 52
=> g = 52 + 32
b) Solve for g
=> 52 + 32
=> g = 84
Answer:
a) obtain a formula for g
Calculate the sum of first n natural numbers as sumtotal= n*(n+1)/2.
Create a variable sum to store the sum of array elements.
Traverse the array from start to end.
Update the value of sum as sum = sum + array[i]
Print the missing number as SumTotal – sum.
b) Solve for g
g = 84
Hope it helps!!!Brainliest pls!!!
23 divided by 8 I need help
Answer:
2.875
Step-by-step explanation:
Answer:
2.875
Step-by-step explanation:
its not a whole number its a fraction or decimal but i gave u the decimal