Answer:
sin(x)−1/3(sin3(x))+C
Step-by-step explanation:
use u substitution method to integrate
cos³(x) = cos(x) cos²(x)
… = cos(x) (1 - sin²(x))
Substitute u = sin(x) and du = cos(x) dx. Then in the integral, you get
∫ cos³(x) dx = ∫ (1 - u ²) du
… = u - 1/3 u ³ + C
… = sin(x) - 1/3 sin³(x) + C
Graph this following equation y=2x+3
Answer:
Step-by-step explanation:
Use Desmos, really helpful!
Answer:
Look at the images.
Plz send the Venn diagram of this...
Answer:
Step-by-step explanation:
sorry im not sure
What are the steps in finding the average height? Plz help ty :>
(Problem-solving questions- Calculating the average height of all the children in your class)
Answer: add all the heights and divide by number of children.
Step-by-step explanation: add all heights and divide by number of children
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.
Determine which statements about the relationship are true. Choose two options.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The two variables cannot be labeled as independent or dependent without a table of values.
Answer: u is the dependent variable
g is the independent variable
Step-by-step explanation:
Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :
u is the dependent variableg is the independent variableWhat are the independent variables and dependent variable?An independent variable serves as the variable that one can manipulate then control, an experimental so one can actually record the effects.
Independent variable on the other hand serves as the cause which have an independent values compare to others.
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4. Find the circumference of the circle. Use 3.14 for the value of x. Round your answer to the nearest tenth.
20 in
Answer:
18.2cm
thank you
i think
Which expression represents the probability of choosing an item from the intersection of A and B
OPTION A is the correct answer
The intersection of event A and B is given by P( A∩B) , Option A is the correct answer.
What is Probability ?Probability is the likeliness of an event to happen.
It is given that the Probability of two independent event A and B is given by
P(A) and P(B)
The intersection of event A and B is given by
P( A∩B)
Therefore Option A is the correct answer.
To know more about Probability
https://brainly.com/question/12431044
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the sumof 8pq and -17 pq is
Answer:
= -9pq
Step-by-step explanation:
=8pq + (-17pq)
=8pq-17pq
= -9pq
Look below. (Will give Brainliest)
Answer:
A.
[tex] < 6 = 180 - 72 \\ = 108 \degree[/tex]
E.
[tex] < 5 = 72 \degree \\ (alternate \: angles)[/tex]
Answer:
The correct answers are
E. m< 5= 72
B. <2 = m<7
A. <6 = 108
Step-by-step explanation:
E is correct because B and C are parallel meaning that 5 and 72 are alternate interior angles.
B is correct because they are alternate exterior angles
A is correct because 180 - 72 = 108
Hope this helped
m: 4,y-intercept: -3
Answer:
気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。
Step-by-step explanation:
気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。
y=4x–3
y-y1=m(x-x1)
y+3=4(x-0)
y+3=4x-0
y+3=4x
y=4x-3
Find the perimeter of a rectangular strip of board is 3.28m long and 7.5m
Answer:
21.56 m
Step-by-step explanation:
2(3.28) + 2(7.5)
(twos represent the sides)
6.56 + 15
= 21.56 m
calculate the following range of scores for a continuous variable: 9,8,7,6,5,4,3,2. Use upper and lower real limits to calculate your answer.
Answer:
7
Step-by-step explanation:
Given the data :
9,8,7,6,5,4,3,2
Ordering the data from least to highest :
2, 3, 4, 5, 6, 7, 8, 9
The range of a dataset is given by :
Maximum - Minimum
Maximum value = 9
Minimum value = 2
Range of data:
9 - 2 = 7
Range = 7
What is the scale factor from Figure A to Figure B? (Please help)
Answer:
3
Step-by-step explanation:
You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3
Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?
Answer:
m =7.
Step-by-step explanation:
Let the constant number = k.
g(m) = k/m,
3.5 = k/10,
k = 35.
Thus, when g(m) = 5 = 35/m, m = 7.
Urgent
Please help!
Factorise
Answer:
a.
x²+3x-4
doing middle term factorization
x²+(4-1)x-4
x²+4x-x-4
x(x+4)-1(x+4)
( x+4)(x-1)
b.
x²-2x-3
x²-3x-x-3
x(x-3)-1(x-3)
(x-3)(x-1)
c.
x²+2x-8
x²+4x-2x-8
x(x+4)-2(x+4)
(x+4)(x-2)
Wut is (2/2 x 23.34)^3?
X means times, not varible
Answer:
12714.595704
Step-by-step explanation:
(2/2 x 23.34)^3
(1 x 23.34)^3
23.34^3
=12714.595704
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
If x = 3k + 2 and y = k - 2 is a solution of linear equation 5x - 3y = 4 , then the value of k
pls can say the answer fast
please help quick pleaseeee
Answer:
17
Step-by-step explanation:
Answer:
bru
Step-by-step explanation:
Mrs. Smith blinks about 450 times in 30 minutes. Samaira
blinks about 150 times in 15 minutes. How many more
times does Mrs. Smith blink per minute than Samaira?
Answer:
15 more times per minute
Step-by-step explanation:
What is the slope of the line below
Answer:
D. 1/2
Step-by-step explanation:
Step-by-step explanation:
The answer is 1/2. As the slop means gradient. so Gradient = change in Y / change in X .
Find the length of the third side. If necessary, round to the nearest tenth.
Answer: 14.4
Step-by-step explanation:
pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
The distance the plane traveled from point A to point B is 13510 ft
Calculation of the distance:Here we assume the distance between A and B should be x.
Now the y value should be
[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]
y = 8808.84 ft
Now, we can find x
[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
Learn more about distance here: https://brainly.com/question/785292
Find the value of x for which the lines p and q are parallel.
Answer:
D
Step-by-step explanation:
have a good day
Answer:
D) 7
Step-by-step explanation:
Since the two angles marked are corresponding, if [tex]p[/tex] and [tex]q[/tex] are parallel, they must be equal.
Therefore, we have:
[tex]14x+18=116,\\14x=98,\\x=\boxed{7}[/tex]
Granite has a specific heat of 800 J/g oC. What mass of granite is needed to store 150,000 J of heat if the temperature of the granite changes from 80 oC to 95 oC? (12.5 g)
Answer:
12.5g
Step-by-step explanation:
Given data
Shc= 800 J/g oC
Q=150000J
T1= 80
T2= 95
Q=mc(T2-T1)
150000= m*800(95-80)
150000= m*800*15
150000= 12000m
m= 150000/12000
m= 12.5g
kelly wants to make a box in the shape of a cube.How many pieces of wood does she need? In what shape should she cut them?
Find the perimeter of the triangle whose vertices are the following specified (0,3), (-10,-4) (-9,-7) points in the plane.
Answer:
The perimeter of the triangle is 28.82
Step-by-step explanation:
Please check the image uploaded for the diagram.
Perimeter = d₁ + d₂ + d₃
[tex]d_1 = \sqrt{(-10-0)^2 + (-4-3)^2} = \sqrt{100+49} =\sqrt{149} = 12.21\\\\d_2 = \sqrt{(-9-0)^2 + (-7-3)^2} = \sqrt{81+100} =\sqrt{181} = 13.45\\\\d_3 = \sqrt{(-10+9)^2 + (-4+7)^2} = \sqrt{1+9} =\sqrt{10} = 3.16\\\\Perimeter = 12.21 + 13.45 + 3.16 = 28.82[/tex]
Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number
Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
Dwayne improved his score on Commander
Quest from 65,720 to 88,722. By what percent
did his score increase?
Answer:
35%
Step-by-step explanation:
What was the numerical difference?
88722 - 65720 = 23002
Which number is the denominator for the % increase?
It must be 65720.
23002/ 65720 * 100 = 35%
So if we take 35% of 65720 and add it on to 65720 what do we get.
35/100 * 65720 + 65720 = 88722 just as we should.
Plz help i need a correct answer asap
A is
[tex] | - 9| + |9| [/tex]
absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)
B ist just 18
Help me with this really fast
Answer:
quadratic trinomial ..........................