Hey there! I'm happy to help!
Difference means that you subtract.
5-y
And we multiply this entire thing by 9, giving us 9(5-y).
Have a wonderful day! :D
10 ft 8 ft 5 ft 4 ft 8 ft 17 ft What is the volume of the figure? Enter the answer in the box. 1 cubic feet
Answer: 944 cubic feet
Step-by-step explanation:
Answer:
It’s 944
Step-by-step explanation:
It was on my last test and I got it right
Find the area of the surface given by z = f(x, y) over the region R. (Hint: Some of the integrals are simpler in polar coordinates.) f(x, y) = 9 − x2 R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2)
Answer:
The area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]
Step-by-step explanation:
From this study,
The surface area of f(x,y) is expressed by:
[tex]A = \iint_R \sqrt{1 +f^2_x+f^2_y}} \ dA[/tex]
where
[tex]0 \leq x \leq 2 \ and \ 0 \leq y \leq 2[/tex]
Given that:
f(x,y) = 9 - x²
Thus, [tex]f_x = -2x[/tex] and [tex]f_y = 0[/tex]
However, the area becomes:
[tex]A = \iint_R \sqrt{1+(-2x)^2+0^2} \ dxdy[/tex]
[tex]A = \iint_R \sqrt{1+4x^2} \ dxdy[/tex]
From above, replacing x with [tex]\dfrac{1}{2} \ tan \ u[/tex]
then [tex]dx = \dfrac{1}{2} sec^2 \ udu[/tex]
∴
[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint \sqrt{1 + 4u^2 } \ sec^2 \ udu[/tex]
[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint sec^2 \ udu[/tex]
[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} ( \sqrt{4x^2 + 1x} + \dfrac{1}{2} In \sqrt{4x^2 + 1}+2x)[/tex]
Hence;
[tex]\mathsf{A = \int \limits ^2_0 \begin {bmatrix} \dfrac{1}{2}(\sqrt{4x^2 +1 x}+ \dfrac{1}{2} In ( \sqrt{4x^2+1}+2x \end {bmatrix}^2_0 \ dy}[/tex]
[tex]\mathbf{A = 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]
Therefore, the area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]
h(x) = x - 2
g(x) = 4x - 3
Find (h. g)(x)
Use integration by parts to evaluate the indefinite integral
[ 2x sin(c) dx
Answer:
-2x cos x + 2 sin x + C
Step-by-step explanation:
∫ (2x sin x) dx
If u = 2x, then du = 2 dx.
If dv = sin dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 2x (-cos x) − ∫ (-cos x) (2 dx)
= -2x cos x + 2 ∫ cos x dx
= -2x cos x + 2 sin x + C
Answer:
[tex]\displaystyle \large{2 \sin x - 2x \cos x + C}[/tex]
Step-by-step explanation:
We are given the indefinite integral:
[tex]\displaystyle \large{\int {2x \sin x} \ dx }[/tex]
Using by-part method, we have to substitute u-term and dv appropriately.
By-part is an integration of product rules, when integrated the product rules of differentiation, we’ll obtain:
[tex]\displaystyle \large{\int {u} \ dv = uv - \int {v} \ du}[/tex]
Above is by-part method/formula.
Where 4 terms are presented:
ududvvOur main terms to substitute are u and dv which mean u-term has to be a function that’s differentiatable and dv has to be a function that’s integratable.
The main concept of by-part is to understand how to substitute appropriately which you can simply follow below:
LIATE
Stands for Logarithm, Inverse (Trigonometry), Algebraic, Trigonometric and Exponential.
These are in orders from first to last on what to let u-term first. That means logarithm functions must be the first to substitute themselves as u-term, so if you encounter a logarithmic function and a polynomial function, you must let u = logarithmic function while dv = polynomial.
In this case, we have 2x which is polynomial and sin(x) which is trigonometric. According to LIATE, we have to let Algebraic or Polynomial 2x be first to substitute as u-term, that means our dv is trigonometric sin(x).
Therefore, we have:
u = 2xdu = 2dx dv = sin(x)dxv = -cos(x)Now, substitute these terms in accordingly to formula of by-part.
[tex]\displaystyle \large{\int {2x \sin x} \ dx = 2x \cdot (-\cos x) - \int {-\cos x \cdot 2 \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + \int {2 \cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \int {\cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \cdot \sin x + C}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \sin x + C}[/tex]
__________________________________________________
Summary
Property
[tex]\displaystyle \large{ \int {k f(x)} \ dx = k \int{f(x)} \ dx \ \ \ \ \tt{(k \ \ \ is \ \ \ a \ \ \ constant.)}\\[/tex]
Only shown in explanation.
By-Part
[tex]\displaystyle \large{\int u \ dv = uv- \int v \ du}[/tex]
LIATE
The functions in order that should be u-term from first to last.
Logarithm Inverse TrigonometricThese functions above do not have integration formula by default.
Polynomial (Algebraic)TrigonometricExponential (Last since it’s the easiest to integrate, especially natural exponential)Indefinite Integral
Make sure to always add + C after evaluating the integral, regardless what multiplies or attempts to affect + C, we must always add + C.
__________________________________________________
what is the answer 3x+15=8x
Answer:
3x +15 = 8x
5x = 15
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Move the Terms:
3x = 8x - 15
3x - 8x = -15
Collcect Terms.
-5x = -15
Divide:
3
Answer
x = 3
Hope this helped
Brainliest is appreciated
- 5 choose vanilla
-
10 choose strawberry
What percent of Tristan's classmates choose
strawberry as their favorite type of
icecream?
find the first three terms of the sequence with nth term 3n-2
Answer:
To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.
so the three terms a
3(1)-2=1
3(2)-2=6-2=4
3(3)-2=9-2=7
As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16
so 16 is the tenth term
Hope this helped!
WHICH DECIMALS ARE REPEATING DECIMALS?
A. 0.375
B. 3.44
C. 4.95
Below are the pre-image and image a trapezoid. Choose the name of the transformation used to create the image. Group of answer choices Reflection Rotation Translation
Answer:
None of the options
Step-by-step explanation:
Given
Trapezoids: ABCD and A'B'C'D'
Required
Select type of transformation
Notice that width and length of ABCD are larger than that of A'B'C'D'
This means that the transformation applied on ABCD shrinks it size to A'B'C'D'
From the list of given option'
None of the 3 options describes this type of transformation.
The applied transformation is Dilation because it affects the size of ABCD
Hence;
None of the options is correct
Answer:
The answer is Reflection
Step-by-step explanation:
Which number is prime?
49
51
53
55
Answer:
53
Good luck with your quiz/test :D
Answer:
53
Step-by-step explanation:
How to do this operation (11+1) -6 x8 + 16
Answer:
-20
Explanation:
Follow PEMDASParentheses, Exponents, Multiply, Divide, Add, Subtract(11 + 1) - 6 · 8 + 16
11 + 1 = 12
12 - 6 · 8 + 16
6 · 8 = 48
12 - 48 + 16
= -20
3.60 rounded to the nearest tenth
Answer:
3.6 its already rounded just take off the 0
The requried when rounding 3.60 to the nearest tenth is given as 3.60.
When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.
The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.
In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.
Learn more about round-off here:
https://brainly.com/question/12051621
#SPJ6
ames earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month.
Equation: 12(80 – x) = 816
x = 12; monthly earnings = $68
Which strategies will verify that the value for x is correct? Check all that apply.
Substitute 68 for x in the equation.
Substitute 12 for x in the equation.
Multiply $68 by 12 months.
Multiply $80 by 12 months.
Answer: Its B and C
Step-by-step explanation:
Answer:
The correct answer is:
B. Substitute 12 for x in the equation
C. Multiply $68 by 12 months
Can someone please help me out?
Answer:
S=46.6
Step-by-step explanation:
x is the number of years :
from 1998 to 2020 = 22 years
S-1.9x=4.8
S-(1.9)(22)=4.8
S=4.8+41.8
S=46.6
Beyoncé drove 6 miles in 18 minutes and Kelly drove 4 miles in 16 minutes. Who
traveled at a greater average speed? Define an appropriate unit of speed and provide
mathematical justification for your answer.
Beyoncé 18 min = 18/60= = .3 per hour
Kelly = 16 min. 16/60 = 2.6 per hour
So your answer is Beyoncé
The ratio of the sides of a triangle is 8:15:17. Its perimeter is 480 inches. Find the length of each side of the triangle.
Answer:
96 inch,180 inch,216 inch
Step-by-step explanation:
let the sides be 8x,15x,17x
then 8x+15x+17x=480
40x=480
4x=48
x=48/4=12
8x=8×12=96
15x=15×12=180
17x=17×12=216
a retail chain buys 1000 wireless speakers if the price is $190 and $2600 if the price is $110. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Assuming that the supply and demand functions are linear, find the market equilibrium price and market equilibrium quantity
Answer:
The market equilibrium price is $160 and market equilibrium quantity is 1600
Step-by-step explanation:
A linear function is of the form y = m * x + b, where m is the slope and b is called the intercept.
The shape of a demand and supply curve will be: Q = m * P + b
The point-slope form of the linear function is written as y- y1 = m * (x- x1) where (x, y) and (x1, y1) are the coordinates of the point. In this case: Q- Q1 = m * (P- P1)
A retail chain buys 1000 wireless speakers if the price is $ 190 and 2,600 if the price is $ 110. Then (P, Q) = (190,1000) and (P1, Q1) = (110, 2600). Replacing in the point-slope form:
1000 - 2600= m*(190 - 110)
and solving for m you get:
-1600=m*80
[tex]m=\frac{-1600}{80}[/tex]
m= -20
To find the value of b from the demand curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:
Q= -20*P + b
Replacing (P, Q) = (190,1000)
1000= -20*190 + b
1000= -3800 + b
1000 + 3800= b
4800= b
The demand function is Q= -20*P + 4800
In an analogous way, the supply function can be deduced. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Then (P, Q) = (128,800) and (P1, Q1) = (192, 2400). Replacing in the point-slope form:
800 - 2400= m*(128 - 192)
and solving for m you get:
-1600=m*(-64)
[tex]m=\frac{-1600}{-64}[/tex]
m= 25
To find the value of b from the supply curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:
Q= 25*P + b
Replacing (P, Q) = (128,800)
800= 25*128 + b
800= 3200 + b
800 - 3200= b
-2400= b
The supply function is Q= 25*P - 2400
The point where the supply and demand curves intersect is called the market equilibrium point. At this point the quantity supplied and the quantity demanded is the same and the price must also be the same. So:
-20*P + 4800= 25* P -2400
Solving for P:
-20*P - 25*P= -2400 - 4800
-45*P= -7200
[tex]P=\frac{-7200}{-45}[/tex]
P= 160
Since at the equilibrium point the quantity supplied and the quantity demanded is the same, replacing the price P in either of the two functions (demand or supply) I obtain the equilibrium quantity. In this case, it is replaced in the supply function:
Q= 25*160 -2400
Q= 1600
Finally, the market equilibrium price is $160 and market equilibrium quantity is 1600
10 x 1/5 in simplest form
Hey there!
ANSWER: [tex]2[/tex]EXPLANATION:[tex]10*1/5[/tex]
Divide 10 by 5.
[tex]10/5=2\\2(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Answer:
2.
Step-by-step explanation:
[tex]10 *\frac{1}{5} = 2[/tex]
13. Emily has h + 15 minutes of homework tonight. Evaluate when h= 20.
Answer: 35 minutes
Step-by-step explanation:
Since we are given the value of h, we can plug that into the equation and solve.
20+15 [add]
35
Now, we know that it is 35 minutes.
Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
a)Manny rode his bike for 3 hours. How far did he travel?
b)Manny rode his bike for 1.5 hours. How far did he travel?
Answer:
A. 54 miles B. 27 miles for the bikeathon
A marble is selected at random from a jar containing 5 red marbles, 2 yellow marbles & 3 green marbles. What is the probability that a)the marble is red
b)the marble is not yellow
c)the marble is either red or green
d)the marble is neither red nor green
Answer:
5/11
explanation
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~
Answer:
THe answer is 13
Step-by-step explanation:
Answer:
its the second one 13
Step-by-step explanation:
Speed limit signs are placed every 58 mi on the highway. How many signs are there on a 75 mi stretch of highway? Which operation should be used to solve the problem? division multiplication
Answer:
you should use multiatication
Step-by-step explanation:
Answer:
lol u got the answer it's multiplication i need POOOIIIIINNNNTTTTSSS
Step-by-step explanation:
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of the longest side is unknown. What is the smallest possible whole-number length of the unknown side?
Answer:
17 inches.
Step-by-step explanation:
Answer:
answer is 17 inches
Step-by-step explanation:
Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).
if f(x)=2x-1 and g(x)=x^2-3x-2, find (f+g)(x)
Answer: (f+g)(x)=x²-x-3
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we can add them together.
(f+g)(x)=2x-1+x²-3x-2 [combine like terms]
(f+g)(x)=x²-x-3
Now, we know that (f+g)(x)=x²-x-3.
If the room had a volume of 5,184,000 cubic inches, approximately how many basketballs
did the students put in the principal's office if each basketball has a volume of 523.6 cubic inches?
Answer:
around 9900.6 balls can fit in the room
Step-by-step explanation:
If x is a Poisson random variable with a mean of 10, what is the probability that x is greater than 6?
Answer:
Step-by-step explanation:
6
Which scale factor was used to create triangle SRT?
Answer:
1.6
Step-by-step explanation:
5 times 1.6 is 8.
The ratio of pennies to dimes is 3:5. If there are 15 dimes how many pennies are there?
Answer:
9
Step-by-step explanation:
Step 1:
3 : 5 = x : 15
Step 2:
5x = 45
Answer:
x = 9
Hope This Helps :)