Answer:
x³/3 - x² + C
Step-by-step explanation:
∫ x² - 2x + 8 dx
= x³/3 - x² + C
when finding the derivative, you need to take the power plus 1 then divide by the power x^(2+1)/(2+1) = x³/3
the same goes for 2x and the 2/2 is 1 so you would get x²
since you are finding the derivative for x and 8 is a constant it equals zero.
when integrating you always need to add C at the end and C stands for a constant. The only time you do not add C is when the integral goes from one constant to the next.
Example: [tex]\int\limits^1_0 {x^2 - 3x +9} \, dx[/tex] like this...
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
heres my question: A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.
4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data. um so yea thats my question, if u have answers to it please reply to me! thanks! :)
As 12 visitors went down a water slide 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11 and 1 times, the average number of times each visitor went down is 11.41.
AveragesTo reach that answer, the following calculation must be performed:
(4 + 22 + 16 + 10 + 11 + 20 + 20 + 12 + 6 + 3 + 11 + 1) / 12 = X137 / 12 = X11.41 = XTherefore, each visitor went down, on average, 11.41 times.
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The circle graph shows how Lila spent her after-school time during the month of October.
Part A
If Lila spent a total of 92 hours on these activities in the month of October. How much time did she spent at Yoga?
Using proportions, it is found that she spent 25.76 hours at Yoga.
What is a proportion?A proportion is a fraction of a total amount.
Researching the problem on the internet, it is found that the circle graph shows that she spent 28% of her time of 92 hours on yoga, hence:
h = 0.28 x 92 = 25.76.
Hence, she spent 25.76 hours at Yoga.
More can be learned about proportions at https://brainly.com/question/24372153
All of the quadrilaterals in the shape below are squares. Find the area of the shaded region
To find area of square one :-
Given :
side = 9 (unit)To find :
Area of squareWe know :
Area of square = side²
Therefore:-
→Area of square = 9²
→Area of square = 9 × 9
→Area of square = 81 (unit)²
To find area of square two :-
Given :
side = 11 (unit)To find :
Area of squareWe know :
Area of square = side²
Therefore:-
→Area of square = 11²
→Area of square = 11 × 11
→Area of square = 121 (unit)²
Now it's clearly visible that the whole figure is also. a square .
Therefore AE = CP
Which means area of square three = 81 (unit)²
Now area of shaded figure :-
Area of square one + Area of square two + Area of square three81 + 81 + 121283 (unit)²What type of function is f(x) = 2x3 – 4x2 + 5?
it's a cubic function
The given function f(x) = 2x³ – 4x² + 5 is a cubic function.
What is a cubic polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3.
It is observed that the given function is a cubic function as its highest power of the variable is three.
Therefore, the given function f(x) = 2x³ – 4x² + 5 is a cubic function.
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Choose true or false:
y = 9 is the solution of y + 9 = 0
Please help. this is a end- of- year school test.
I appreciate it! ^^
Answer:
False.
Step-by-step explanation:
y+9=0
y=-9
hope you have a good day/night! :)
A log is partly buried in the mud. One third of the log is buried and 8 meters of the log are above ground. What is the total length of the log?
Answer:
12
Step-by-step explanation:
The answer is 12 because if 1/3 of the log is buried then 2/3 of the log is 8 meters. 8 divided by 2 is 4 so you know that 1/3 of the log is 4 meters. Then you just multiply 4 times 3 or add 4 and 8.
Answer:
12 meters
Step-by-step explanation:
see image. If 1/3 log is buried, then 2/3 (the rest of it) log is above ground. If 8meters of log is 2/3 of the log, that is 8 meters is 2 parts, then each part is 4 meters.
2 parts (thirds!) above ground:
8 meters
1 part (one-third) below ground:
4 meters
Total is 8 + 4 =12
or 3×4 = 12
The whole log is 12 meters.
1. Which unit multiplier should be used to change feet to inches?
A 1ft/12in
B 12in/1ft
C 12ft/1in
D 1in/12ft
E 12in/12in
2. Which unit multiplier should be used to change quarts to gallons?
A 8 qt/ 1 gal
B 1 gal/ 8 qt
C 1 gal/ 4 qt
D 2 qt/4 qt
3. Which unit multiplier should be used to change feet to yards?
A 1 yd/ 36 inch
B 3ft/3ft
C 1 yd/ 3 ft
D 1 yd/ 2 feet
4. When using unit multipliers, the name of the measure in the numerator should be the same as:
a.
the name in the denominator
b.
the name of the given amount
c.
the name of the unit in the desired answer
d.
the larger of the units of measure given
e.
the smaller of the units of measure given
5. The term used to multiply by when converting measures should always be:
Select one:
a.
less than the given measure
b.
greater than the given measure
c.
greater than one
d.
less than one
e.
equal to one
6. How many unit multipliers are required to change square feet to square inches?
Select one:
a.
1
b.
2
c.
3
d.
12
e.
144
7. How many unit multipliers are required to change cubic yards to cubic feet?
Select one:
a.
1
b.
2
c.
3
d.
9
e.
12
8. Sam stacked a pile of wood that was four feet deep, four feet high, and 16 feet long. How many cords of wood does he have?
The required unit multipliers that should be used to change feet to inches is: 12 in/1 ft
What is Unit Multiplier?Unit multipliers are used to convert one unit of measurement to another by the multiplication of the measure we're converting by a unit multiplier that cancels out the other units, retaining only the preferred choice or desired answer.
From the given information:
The required unit multiplier that should be used to change feet to inches is: 12in/ 1ftThe required unit multiplier that should be used to change quarts to gallons is: 1gal/ 8qtThe required unit multiplier that should be used to change quarts to gallons is: 1yd/3 ftHowever, it is important to note that when using unit multipliers, the name of the measure in the numerator should be the same as the name of the unit in the desired answer.
The term used to multiply by when converting measures should always be less than the given measure.
The required unit multiplier to convert square feet to square inches is 144The required unit multiplier to convert cubic yard to cubic feet is 27The cord of wood can be determined by multiplying the length, depth and height of the wood together, then dividing the answer but 128.
Thus, the cord of the wood = (4 ft × 4 ft × 16 ft)/128
The cord of the wood = 2 cords.
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18 - [5 + 1 + (4 - 2 + 2)}] please solve
Answer:
8
Step-by-step explanation:
[tex]\hookrightarrow 18 - [5 + 1 + (4 - 2 + 2)]\\\\\hookrightarrow 18-[5+1+(6-2)]\\\\\hookrightarrow 18-[5+1+4]\\\\\hookrightarrow 18-10\\\\\hookrightarrow 8[/tex]
Which of the following expressions is equivalent to……
Answer:
Box 4
Step-by-step explanation:
negative divided by negative is positive so both negatives cancel out and u get (5/6) / (1/3)
Tamara takes care of 28 chickens. Her little sister Brianna takes care of 7 chickens.How many times more chickens does Tamara take care of than Brianna?
A.3
B.4
C.21
D.35
Answer:
B. 4
Step-by-step explanation:
To undo multiplication (which is what is being asked of us) you must divide. 28 divided by 7 is 4
so
4 x 7 is 28
If Brianna is taking care of 7 chickens, Tamara is taking care of 4 times the number of chickens because she is taking care of 28
Tim read 70% of his book containing 230 pages. How many pages does he have left?
Answer:
69
Step-by-step explanation:
To do this, you want to first find how many pages he has read
So, to get that you want to multiply 230 by 70% or 0.7 (70% = 0.7 because to get the percent, you multiply the number by 100)
230 * 0.7 = 161
BUT, since you want to find how many pages he has left, you subtract the amount of pages he has read by how many pagest here are in total like so:
230 - 161 = 69 pages left
If you have any questions feel free to ask in the comments, and if this helped it would be appreciated if you left a brainliest :)
What is the slope of the line y = − 4 , equals, minus, 4? Choose 1 answer:
Answer: the slope is 0
Step-by-step explanation:
The percentage price of an article is 30000 and its price after the discount is 27600. What will the percentage of the discount be ?
the answer for this would be 20 percent
The collection of all equally likely outcomes is known as the
Answer:
The Sample space
Step-by-step explanation:
The collection of all equally likely outcomes is known as the- the sample space.
What is the slope-intercept form of 11x-13y=39?
Answer:
Step-by-step explanation:
y=11/13x−3
hope this helps and mark me brainliest as well please.
A culture started with 3000 becteria. after 4 hours it grew to 3600 becteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. p=ae^kt
Answer:
You can solve this by setting up an exponential growth equation.
Now we solve for b
Now that we have found b, we can use the equation to predict how many bacteria will be present after 10 hours.
t = 10
Answer = 4732
Step-by-step explanation:
kassim has a money box containing 100 mixed sh 5 and sh 10 coins with a total value of sh 600. How many of each type of coin does the box contain
Answer
90
Step-by-step explanation
600 divided by 100
600 / 100 (5+10)
The Han family just enjoyed dinner at Mizumi restaurant. The bill was $160.18. The tax rate is 8.25% and the restaurant charges a 15% service fee on each bill, not including the tax.
a) what was the total amount the Han family paid for dinner?
Answer:
$198.62
Step-by-step explanation:
The dinner itself is $160.188.25% tax on $160.18 is approximately $13.21A 15% service fee on $160.18 is approximately $25.23**You only apply the 15% service fee to $160.18 and not 173.39 (dinner and tax) because the problem says the service fee is applied before tax.
160.18 + 13.21 + 25.23 = 198.62
Hope this helps!
Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and three rap songs from a list of eleven rock songs, five alternative songs, and four rap songs?
Using the combination formula, it is found that there are 3300 ways to choose the songs.
The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the rock songs, we have three from a set of eleven, hence:
[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
For the alternative songs, we have four from a set of five, hence:
[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
For the rap songs, we have three from a set of four, hence:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]
Since the songs are independent, the total number of ways is given by:
[tex]T = 165 \times 5 \times 4 = 3300[/tex]
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The quotient of w and 7 is less than 17.
Answer:
17 < w / 7 is my answer. I am not sure to correct.
How many sides does a regular polygon have if each interior angle measures 150°?
Answer:
12
Step-by-step explanation:
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
Solve for X -3x + -6 = 21
Answer:
x= -13.5
Step-by-step explanation:
X-3x+(-6)=21
-2x-6=21
-2x=27
2x=-27
x=-13.5
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same, not including tax?
Answer:
2 toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same
Step-by-step explanation:
t=toppings
6.80 +0.90t = 7.30+0.65t
0.25t = 0.5
t = 2
What is the median of this data set?
{23, 16, 19, 17, 15, 19, 17, 24}
Enter your answer in the box.
()
Answer:
16,
Step-by-step explanation:
1) Put numbers in ascending order
15, 16, 17, 17, 19, 19, 23, 24
2) Find the middle numbers use n+1/2
n = the amount of numbers in the sequence
8+1/2 = 4.5
3) The answer is 18 because that's the number between 17 and 19
Answer:
Me thinks its 18
You are calculating the volume of a box which has a width ofx inches, a
length 1 inch less than the width, and a height 2 inches less than the width.
What is the end behavior of the polynomial function that models the volume
as a function of x?
and down
C. down and down
B. down and up
D. up and up
А. up
Using limits, it is found that the end behavior of the polynomial function for the volume of the rectangular box is:
B. down and up.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and heigth h is given by:
V = lwh.
In this problem, we have that the dimensions are given by:
w = x.l = x - 1.h = x - 2.Hence the volume is given by:
[tex]V = x(x - 1)(x - 2) = x(x^2 - 3x + 2) = x^3 - 3x^2 + 2x[/tex]
What is the end behavior of a function?It is given by it's limits as x goes to infinity.
Hence:
[tex]\lim_{x \rightarrow -\infty} V(x) = \lim_{x \rightarrow -\infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow -\infty} x^3 = -\infty[/tex]
[tex]\lim_{x \rightarrow \infty} V(x) = \lim_{x \rightarrow \infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow \infty} x^3 = \infty[/tex]
Which means that option B is correct.
More can be learned about limits at brainly.com/question/22026723
Angles P and Q are supplementary. m∠P=43∘. Which statement is true?
m∠Q=147∘
m∠Q=47∘
m∠Q=137∘
m∠Q=43∘
P + Q = 180
43 + Q = 180
Q = 180 - 43
m∠Q = 137°#CarryOnLearning
#LibreAngMatuto
I need help with this question
Answer:
Length: 20, Width=34
Step-by-step explanation:
Say the length of the width is w, and the length of the length is l. Then, we can establish an equation of W=2L-6. Since the area of a rectangle is W*L, we can substitute W with 2L-6. If we multiply 2L-6 and L, we get [tex]2L^{2} -6L[/tex]=680. We can simplify this equation by dividing everything by 2. We then get [tex]L^{2}-3L=340[/tex]. If we solve for L, we get 20. Now, we plug 20 into the equation, W=2L-6. Since W=2(20)-6, which simplifies to W=40-6 which is 34, we get a width of 34.
Hope this helps
solve step by step
1/x-1+1/y-2=1
3/x-1+5/y-2=4
A guest walks in and needs a room for the night. The rack rate for rooms is 15% higher than the average rate of $165 per night. What rate will the walk-in guest pay for the night?
The rate which the walk-in guest is how fast a guest needs a room
The rate which the walk-in guest pay for the night is $189.75
How to determine the rate?The given parameters are:
Average rate = $165 per night
The walk-in guest is 15% greater than the average rate.
So, the rate of the walk-in guest is:
Walk-in = 165 * (1 + 15%)
Evaluate the product
Walk-in = $189.75
Hence, the rate which the walk-in guest pay for the night is $189.75
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Find the area of the figure.
Pls help
It's a trapezoid
Base=15+5=20cmAnother side=15cmHeight=12cmNow
Area:-
1/2(Sum of parallel sides)(Height)1/2(15+20)(12)6(35)210cm^2