Answer:
30/5=6
6*30=180
So 180 litres
sin (3x) dx = ?
find the integral
Answer:
[tex]\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C[/tex]
General Formulas and Concepts:
Calculus
Antiderivatives - Integrals
Integration Constant C
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int{sin(x)} \, dx = -cos(x) + C[/tex]
U-Substitution
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {sin(3x)} \, dx[/tex]
Step 2: Identify Substitution Variables
u = 3x
du = 3dx
Step 3: Integrate
[Integral] Rewrite: [tex]\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \frac{1}{3}\int {sin(u)} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{3}[-cos(u)] + C[/tex][Expression] Multiply: [tex]\displaystyle \frac{-cos(u)}{3} + C[/tex][Expression] Back-Substitute: [tex]\displaystyle \frac{-cos(3x)}{3} + C[/tex]What is the first correct step in solving the inequality-4(3-5x)>-6x+9?
Answer:
follow PEMDAS (parentheses exponents multiplication division add subtract)
1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.
3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.
Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)
Answer:
$5809.17
$6149.01
$2211.72
Step-by-step explanation:
Continous interest formula:
(pv)e^(rt)
we have
5000e^(5*.03)= 5809.17
Same equation from before
2500e^(.09*10)= 6149.01
2000e^(.0575*(21/12))
(we write 21/12 because that's how many years has passed)
= 2211.72
arkadaşlar 81×56 kaç
Answer:
big
Step-by-step explanation:
pp
Answer:
4536
Step-by-step explanation:
Hesap makinesi kulan
someone please help
What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102
Answer:
A. 3
Step-by-step explanation:
The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.
Our points are (-1,-1) and (1,5):
(5-(-1))/(1-(-1))
6/2
3
The slope of the line shown below is 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
Points from the graph (1, 5) and (-1,-1).
So, the slope of line
= (-1 - 5)/ (-1 - 1)
= -6 / (-2)
= 3
Thus, the slope of line is 3.
Learn more about Slope here:
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Solve each multi-step equation. Show your work. A - 2 + 3 = -2
Answer:
a is -3
Step-by-step explanation:
negative 3 minus 2 is negative 5 plus 3 is negative 2
Lamont spends $120 on groceries. This is 25% of the money he earns this week. How much does Lamont earn? Show your work
Lamont's total earnings this week come to be $480.
Lamont spends $120 on groceries and this is 25% of the money he earns this week.
This means, $120 = 25% of the total earnings of Lamont
Suppose total earnings =x
What is the percentage?The percentage is the value per hundred.
25% of x= [tex]\frac{25*x}{100}=\frac{x}{4}[/tex]
Given [tex]\frac{x}{4} =120[/tex]
So, [tex]x=480[/tex]
So, his total earnings is $480.
Thus, Lamont's total earnings come to be $480.
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Solve. 3 + 4(w + 5) = 31
Answer:
8/4We have,
3+4(w+5)
=31 Or, 3+20+4w
=31 or, 4w
=31−23
w=8/4
Thus, w comes out to be 2 .
Step-by-step explanation:
Hope it is helpful....
Answer:
w=2
Step-by-step explanation:
3 + 4(w + 5) = 31
distribute 4(w + 5)
4 x w = 4w
4 x 5 = 20
rewrite your equation
3 + 4w + 20 = 31
add like terms
3 + 20 = 23
rewrite equation
4w + 23 = 31
subract 23 on both sides
4w + 23 = 31
-23 -23
4w = 8
divide by 4 on both sides to get w by itself
4w = 8
4 4
w = 2
A cup of beans costs N160. How much
would a similar tin, three times the height
and diameter, full of beans cost?
Answer:
Below.
Step-by-step explanation:
The volume will be 3^3 = 27 times the volume of the small cup.
Answer is N160 * 27
= N4320.
The cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
A cup of beans costs N160.
Cost of volume of a small cup = N160
Let V be the volume of a similar cup
V = 3³ = 27
The cost = 27×160 = N4320
Thus, the cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,
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Three farmers, share some
bags of fartilizers in the ratio
3:4:5. If the smallest
Share is 18 bags, find the
largest Share
if f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)
Step-by-step explanation:
g*f(x)=g(x+4)=(x+4)³
g*f(-3)=(-3+4)³
= 1³=1
Which variable is most important to the following problem? After two hours, Kaylee measured the temperature of a mixture to be 62.7°F. She noticed it was 3:47 p.m. At 4:58 p.m., the temperature reached its peak at 89.4°F. How much did the temperature of the mixture increase between 3:47 and 4:58?
Of the people who fished at Clearwater Park today, 81 had a fishing license, and 9 did not. Of the people who fished at Mountain View Park today, 60 had a license, and 40 did not. (No one fished at both parks.) Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license? Do not round your answer.
Answer:
9/25 = the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license
Step-by-step explanation:
There are 90 fishers at Clearwater and 100 fishers at Mountain View
The probability of a fisher at Clearwater had a license = 81/90 = 9/10
and the probability of a fisher at Mountain View
did not have a license = 40/100 = 2/5
the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license = 9/10(2/5) = 9/25
Which of the I-values are solutions to both of the following inequalities?
81> I and I > 68
Answer:
Option (C)
Step-by-step explanation:
Given inequalities are,
81 > x and x > 68
Therefore, 81 > x > 68 is the inequality representing the solution area for x.
Out of x = 88, 85 and 80,
x = 80 will lie between the range of x = 68 and x = 81.
Therefore, Option (C) will be the correct option.
I. 2a + 2b - c + d = -5
II. a + b + d = -2
III. 3a - b + 2c -d = 18
IV. 4b = -c
Hint:
Solve for c first in IV.
Solve for any variable in II next.
Solve I then.
Answer:
Wat
Step-by-step explanation:
Kind of question is this
PLEASE HELP PLEASEEEE
PLEASE I WILL GIVE YOU COOKIES.
Find the range of the function f(g)=3g-5 for the domain {-2,0,2}
{-9, -4, 5}
{-2, 0, 2}
{ -13, -7, -3}
{-11, -5, 1}
Answer:
option 4 {-11, -5, 1}
Step-by-step explanation:
range: set of output
f(-2)=3(-2)-5=-11
f(0)=3(0)-5=-5
f(2)=3(2)-5=1
ANSWER QUICKLY PLEASE
Part A
For the following figure, the value of x is
Part B
Using the same figure, determine the value of y.
Choose the suitable option,
A) 16in
B) 64in
C) 8 square root of 2
D) 4 square root of 2
Option C is correct, the value of y is 8 square root of 2.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We need to find the value of y.
The given triangle is right angle triangle with opposite side of 8 inches.
Hypotenuse is y and adjacent side is x.
Now let us solve for sinB
sin45 =8/y
1/√2=8/y
Apply cross multiplication
y=8√2
8 square root of 2
Hence, option C is correct, the value of y is 8 square root of 2.
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How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9
Answer:
Step-by-step explanation:
1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9
Which pair of points have equal x-coordinates?
no
B
5
37-8.5
8
+ 1 2 3 4 5 6 7 8 x
2
994019
5
6
S
O points Q and R
O points Q and T
points Rands
Opoints S and T
Answer:
option B
Step-by-step explanation:
I did it.
Joe and Jacob are selling pies for a fundraiser. Customers can buy blueberry pies and
apple pies, Joe sold 4 blueberry pies and 7 apple pies for a total of $123. Jacob sold 4
blueberry pies and 2 apple pies for a total of $58. What is the cost of one blueberry pie
and one apple pie.
Answer:
1234567891011121314151617181920
no entiendo en español menos en ingles
A) square root 6
B) 6
C) 6 square root 2
D) 12
E) 12 square root 2
Please help
sin(45degrees) or BC/AB is 1/sqrt2(that's the value of sin45 degrees I recommend you to memorize this.)
x/12=1/sqrt2
x*sqrt2=12
x=12/sqrt2
Now rationalize this fraction to make the answer more formal.
x=12sqrt2/2(I multiplied both top and bottom by sqrt2)
Now simplify
x=6sqrt2
Question done! answer is C 6 square root of 2
Hope this helped any questions just put them in the comments.
Answer:
6 square root 2
Step-by-step explanation:
Hello random person and it would be very helpful if you know this answer!
Write the phrase as an expression.
1. 15 decreased by the product of a number x and 4.
Answer:
4x - 15
hope this helped
The ratio of boys to girls In student council is 4 to 5. Students council has 18 members. How many are boys?
Answer:
Step-by-step explanation:
boy count is 1476
Explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
→
4
:
5
so you have 4 boys and 5 girls making the whole count
4
+
5
=
9
in its simplest form.
So to change the ratio proportion into fraction proportion we have:
boys
→
4
9
of the whole.
girls
→
5
9
of the whole.
It is given that the whole is 3321 therefore the count of boys is:
4
9
×
3321
=
1476
Help pls!!!!!!!!!!!!!!!!!
Answer:
the answer is 8/5
Step-by-step explanation:
LCM = 10
(14+2)/10 = 16/10
= 8/5
please give me brainlist if it is helpful for you
800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?
Answer:
8ile 6 yı çarp sonucu 800 ile topla 48+800= 848
Annie plans to purchase a car that will cost her $16,000. After putting down a 20% down payment, how much will Annie need to finance?
2 + − 1 ( − ) + 7 ( 2 − )
Answer:
Step-by-step explanation:
15
In an Arithmetic progression, if d= -4, n=7, an=4, then find a.
Answer:
a = 28
Step-by-step explanation:
[tex] a_n = a + (n-1) d[/tex]
[tex] 4 = a + (7-1) (-4)[/tex]
[tex] 4 = a + 6 (-4)[/tex]
[tex] 4 = a - 24[/tex]
[tex] 4 +24= a [/tex]
[tex] a = 28[/tex]
What is the first step in solving 5x-2=3
Answer:
5x-2=3
5x=3+2
5x=5
x=5÷5
x=1
Please help me with this ᕕ( ᐛ )ᕗ thank you!
Answer:
B
Step-by-step explanation:
We can create the equation step-by-step:
Each row of bricks is 6.5cm and the number of row of bricks is r: 6.5r
Total of height of wall: = 259cm
Top row is 1cm shorter: -1cm
Combine all the terms together and we get: 6.5r - 1 = 259
Which means each row of bricks is 6.5cm but minus 1cm from the top to get 259cm the total :D