Answers
As per the given matrix A and B, the value of -7A - 6B is [tex]-7A - 6B = \begin{bmatrix} 40 & -106 &-32 \\ -46& 43 &25 \\82 & -62& -22 \end{bmatrix}[/tex]
Matrix:
Basically, a set of numbers arranged in rows and columns so as to form a rectangular array is known as matrix.
Given,
Here we have the matrix A and B.
Now we have to find the -7A - 6B.
In order to solve this matrix, first we have to find the value of -7A,
To find that one, we have to multiply -7 with A,
Then we get,
[tex]-7 \times\begin{bmatrix}-10 &10 &8 \\ -2& -1 &5 \\ -4& 8& -6\end{bmatrix} = \begin{bmatrix}70 &-70 &-56 \\ 14& 7 &-35 \\ 28& -56& 42\end{bmatrix}[/tex]
Similarly, we have to find the value of 6b,
In order to find that, we have to multiply 6 with the matrix B,
Then we get,
[tex]6 \times\begin{bmatrix}5 &6 &-4 \\ 10& -6 &-10 \\ -9& 1& 10\end{bmatrix} = \begin{bmatrix}30 & 36 &-24 \\ 60& -36 &-60 \\ -54& 6& 60\end{bmatrix}[/tex]
Now, we have to subtract the resulting matrix,
[tex]-7A - 6B = \begin{bmatrix}70 &-70 &-56 \\ 14& 7 &-35 \\ 28& -56& 42\end{bmatrix} - \begin{bmatrix} 30 & 36 &-24 \\ 60& -36 &-60 \\ -54& 6& 60 \end{bmatrix}[/tex]
Therefore, the resulting matrix is
[tex]-7A - 6B = \begin{bmatrix} 40 & -106 &-32 \\ -46& 43 &25 \\82 & -62& -22 \end{bmatrix}[/tex]
To know more about Matrix here.
https://brainly.com/question/28180105
#SPJ1
Related Questions
In calculus, it can be shown that
e^x=infintesigmak=0 x^k/k!
We can approximate the value of for any x using the following sum e^x=infintesigmak=0 x^k/k!
a) Approximate e^2.2 n=3
Answers
Answer: [tex]7.39466666[/tex]
Step-by-step explanation:
Setting [tex]x=2.2[/tex] and [tex]n=3[/tex],
[tex]e^{2.2} \approx \sum^{3}_{k=0} \frac{2.2^{k}}{k!}=\frac{2.2^0}{0!}+\frac{2.2^1}{1!}+\frac{2.2^2}{2!}+\frac{2.2^3}{3!} \approx 7.39466666[/tex]
Answer:
7.39466667 (8 d.p.)
Step-by-step explanation:
We can approximate the value of eˣ for any x using the following sum formula:
[tex]\boxed{e^{x} \approx \displaystyle \sum^n_{k=0}\dfrac{x^k}{k!}}[/tex]
To approximate [tex]e^{2.2}[/tex] with n = 3, substitute x = 2.2 and n = 3 into the given sum formula:
[tex]e^{2.2} \approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}[/tex]
To calculate the sum, substitute k with each value from 0 to 3 and add the results together:
[tex]\begin{aligned}e^{2.2} &\approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\\\\&= \dfrac{2.2^0}{0!}+\dfrac{2.2^1}{1!}+\dfrac{2.2^2}{2!}+\dfrac{2.2^3}{3!}\\\\&= \dfrac{1}{1}+\dfrac{2.2}{1}+\dfrac{4.84}{2}+\dfrac{10.648}{6}\\\\&= 1+2.2+2.42+1.774666666...\\\\&=7.39466667\; \sf (8\;d.p.)\end{aligned}[/tex]
Therefore, the approximate value of [tex]e^{2.2}[/tex] is:
[tex]\large \textsf{$e^{2.2}$}=\boxed{7.39466667}\; \sf (8\;d.p.)}[/tex]
Note: To obtain a more accurate approximate value, increase the value of n.
Please help me solve
Answers
As per the concept of matrix multiplication, the value AB is [tex]\begin{bmatrix}11 &15 &-17 \\ -1&-4 &-4 \\ 17&15 &-22 \end{bmatrix}[/tex]
Matrix multiplication:
Matrix multiplication states that "The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix."
Given,
Here we have the matrix A and B.
And we have to perform the multiplication operation on it.
The value of matrix A is written as,
[tex]\begin{bmatrix} -4& 1 &-4 \\3 & 3 & 1 \\2 & 5 & 5\end{bmatrix}[/tex]
And the value of the matrix B is written as,
[tex]\begin{bmatrix} -4& -5 &4 \\3 & 3 & -5 \\2 & 2 & -1\end{bmatrix}[/tex]
Now, we have to multiply these two matrix, then we get the following,
[tex]\begin{bmatrix} -4& 1 &-4 \\3 & 3 & 1 \\2 & 5 & 5\end{bmatrix}\times\begin{bmatrix} -4& -5 &4 \\3 & 3 & -5 \\2 & 2 & -1\end{bmatrix}[/tex]
And the multiplication of the matrix is written as,
[tex]\begin{bmatrix} -4\times-4+1\times3-4\times2& -4\times-4+1\times3-4\times2 &-4\times4+1\times-5-4\times-1 \\3\times-4+3\times3+1\times2 & 3\times-5+3\times3+1\times2 & 3\times4+3\times-5+1\times-1 \\2\times-4+5\times3+5\times2 & 2\times-5+5\times3+5\times2 & 2\times4+5\times-5+5\times-1\end{bmatrix}[/tex]
When we simplify this one then we get the value of AB is,
[tex]\begin{bmatrix}11 &15 &-17 \\ -1&-4 &-4 \\ 17&15 &-22 \end{bmatrix}[/tex]
To know more about Matrix multiplication here.
https://brainly.com/question/13006200
#SPJ1
What is the best estimate for this sum?
1/3 + 4/7
Answers
1•7/3•7= 7/21+12/21
7+12/21
19/21 answer
Answer: 19/21
Step-by-step explanation: Find the least common denominator of the two which is 21 the first fraction since 3 X 7=21
For the first fraction since 3X7=21, 1/3=1X7=7/3X7=7/21
For the second fraction since 7X3=21, 4/7=4X3/7X3=12/21
Add the two like fractions 7/21+12/21=7+12/21=19/21
The answer is 1/3+4/7=19/21
Pls answer this is in khan academy pls answer fast rapidly
Answers
The required place values in the chart are as Hundred: 9, Tens: 5, Ones: 0, Tenths: 0, Hundredths: 4, and Thousandths: 8. The number in standard form is 950.048.
The number is given in the question as:
(9 × 100) + (5 × 10) + (4 × 1/100) + (8 × 1/1000)
900 + 50 + 4/100 + 8/1000
1040 + 1/25 + 1/125
118756/125
950.048
As per the requierd place values in the chart are:
Hundred: 9
Tens: 5
Ones: 0
Tenths: 0
Hundredths: 4
Thousandths: 8
Now, the number in standard form is 950.048.
Thus, the required place values in the chart are as Hundred: 9, Tens: 5, Ones: 0, Tenths: 0, Hundredths: 4, and Thousandths: 8. The number in standard form is 950.048.
Learn more about the place value strategy here:
brainly.com/question/654419
#SPJ1
Select the correct answer.
What is this expression in simplified form?
√32.5√2
40
5√34
12
8
Answers
Answer:
8
Step-by-step explanation:
Multiply the two radicals and then square it.
7(a – b) pls whats the answer
Answers
Answer:
7a-7b
Step-by-step explanation:
we distribute the 7 by multiplying it to each term
7(a)-7(b)
7a-7b
Hopes this helps please mark brainliest
Answer:
7a - 7b
Step-by-step explanation:
Given expression,
→ 7(a - b)
Let's simplify the expression,
→ 7(a - b)
→ (7 × a) - (7 × b)
→ 7a - 7b
Hence, the answer is 7a - 7b.
Please help, I’ll mark your answer as brainliest.
Answers
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
Learn more about the sound wave here,
https://brainly.com/question/21995826
#SPJ1
i don understand i give good points
Answers
Answer:
[tex]r=12, y=12x[/tex]
Step-by-step explanation:
[tex]\frac{y}{x}=\frac{48}{4}=12 \\ \\ \therefore r=12 \implies y=12x[/tex]
Answer:
12
Step-by-step explanation:
y=rx
For me it will be easier to use y=xr
So let’s fill in one of the points
48=4r
Now solve for r
48=4r
/4. /4
12=r
Now let’s try another point to see if we get the same thing
60=5r
/5. /5
12=r
We get the same thing so the constant of proportionality is 12
Hopes this helps please mark brainliest
Set up the triple Integral SI V over the tetrahedron formed by the coordinate planes and the plane X + y + 24 using six different orders of Integration de dy dx dx dy dy do dy dx de ar ddy dr dy (b) Find the volume of the tetrahedron.
Answers
Step-by-step explanation:
For Part A:
Refer to the photo for an explanation on how to graph z=x+y+24 and how to set up the first integral. I will not explain how to do the other five but I have placed them beneath....
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,\int\limits^{z-y-24}_0 {} \, 1dxdydz \\\\[/tex]
Where limits are, [tex]0\leq x\leq z-y-24\\0\leq y\leq z-24\\0\leq z\leq 24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{y+24}_0 {} \,\int\limits^{z-y-24}_0 {} \, 1dxdzdy\\\\[/tex]
Where limits are, [tex]0\leq x\leq z-y-24\\0\leq z\leq y+24\\0\leq y\leq -24[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,\int\limits^{z-x-24}_0 {} \, 1dydxdz\\\\[/tex]
Where limits are,[tex]0\leq y\leq z-x-24\\0\leq x\leq z-24\\0\leq z\leq 24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{x+24}_0 {} \,\int\limits^{z-x-24}_0 {} \, 1dydzdx\\\\[/tex]
Where limits are, [tex]0\leq y\leq z-x-24\\0\leq z\leq x+24\\0\leq x\leq -24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{-y-24}_0 {} \,\int\limits^{x+y+24}_0 {} \, 1dzdxdy\\\\[/tex]
Where limits are, [tex]0\leq z\leq x+y+24\\0\leq x\leq -y-24\\0\leq y\leq -24[/tex]
[tex]\int\limits^{-24}_0 {} \,\int\limits^{-x-24}_0 {} \,\int\limits^{x+y+24}_0 {} \, 1dzdydx[/tex]
Where Limits are, [tex]0\leq z\leq x+y+24\\0\leq y\leq -x-24\\0\leq x\leq -24[/tex]
For Part B:
All the above limits equal the same volume. So I will just solve for one of the limits.
Evaluate, [tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,\int\limits^{z-y-24}_0 {} \, 1dxdydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \, (x]^{z-y-24} _0){} dydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \, [(z-y-24)-0]{} dydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\int\limits^{z-24}_0 {} \,z-y-24{} dydz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,[0-\frac{y^{2} }{2} -0]{} dz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,\frac{y^{2} }{2} ]^{z-24} _{0} {} dz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,[(\frac{(z-24)^{2}}{2})-0] {} dz \\\\[/tex]
[tex]\int\limits^{24}_0 {} \,[\frac{z^2}{2}-288] {} dz \\\\[/tex]
[tex][\frac{z^3}{6}-288z]^{24} _{0} {} \\\\[/tex]
[tex][(\frac{24^3}{6}-288(24))-0] {}[/tex]
[tex](4608-6912)=-2304\\[/tex]
Answer: -2304
x is rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answers
The error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
What is interval notation?It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close brackets the close brackets mean the value at the close bracket is also included, and the open bracket means the value at the open bracket does not include.
It is given that, the number is 3.7.
We have to find the error interval for x rounded to 1 decimal place for the number 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
When a number has been rounded or truncated, error intervals are the upper bounds of accuracy. They represent the range of values that a number might have had before being rounded or truncated.
This is so that we may round the range of 3.65 to 3.75 to one decimal place, and as 3.74 or less is considered to be below 3.75, rounding to one decimal place gives us 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
Learn more about the interval notation here:
brainly.com/question/13048073
#SPJ1
Help please thank you !
Answers
The graph of y=1.4log (x) is black, graph of y=1.2ln(x) is green, graph of y=log(2.25-x) is blue, graph of y=log(0.75-x) is red.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
To determine the color of each function, plot the graph of each function,
The graph of y=1.4log (x) is black.
The graph of y=1.2ln(x) is green.
The graph of y=log(2.25-x) is blue.
The graph of y=log(0.75-x) is red.
To know more about Graph on:
https://brainly.com/question/17267403
#SPJ1
Use the distributive property to solve.
0.5(x+9)=32
Solve by dividing first
0.5(x+9)=32
Use the distributive property to solve.
2(x+12)=50
Solve by dividing first
2(x+12)=50
Answers
Answer:
x = 55
x = 13
Step-by-step explanation:
Use the distributive property to solve.
0.5(x+9)=32
0.5x + 4.5 = 32
0.5x = 27.5
x = 55
Solve by dividing first
0.5(x+9)=32
x + 9 = 32/0.5
x + 9 = 64
x = 55
Use the distributive property to solve.
2(x+12)=50
2x + 24 = 50
2x = 26
x = 13
Solve by dividing first
2(x+12)=50
x + 12 = 50/2
x + 12 = 25
x = 13
The Robinsons bought a $269,000 house. They made a down payment of $47,000 and took out a mortgage for the rest. Over the course of 15 years they made monthly payments of $1873.37 on their mortgage until it was paid off. (a) What was the total amount they ended up paying for the house (including the down payment and monthly payments)? $0 (b) How much interest did they pay on the mortgage? $0 X
Answers
15x12=180
1873.37x180=337,940
a)269,000+47,000=316,000
need help than you pls
Answers
The number of pupils altogether that said cola was their favorite is 26.
From the question:
The total number in pupils in the class = 60
Number of Boys in the classroom =32
Number of Girls in the classroom=Total number of pupils - Number of Boys in the classroom
Number of Girls in the classroom= 60-32
= 28
Number of Boys that like Cola only= 12
Number of Boys that like water best = 4
Number of Girls that like water best = 9
The number of pupils altogether that said Milk was their favorite =21
The number of pupils altogether that said Water was their favorite = 9 boys+ 4girls
The number of pupils altogether that said Water was their favorite =13
Thus,
The number of pupils altogether that said cola was their favorite =Total number of pupils -The number of pupils altogether that said Water was their favorite - The number of pupils altogether that said Milk was their favorite
= 60 - 21 - 13
=26
Learn more about Quantitative reasoning on
https://brainly.com/question/15566375
#SPJ1
When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, a type of bun, a side order, and a type of fruit drink. Here are the possibilities for each choice. Choice Possibilities Size: junior, Small, Medium, Large Type of bun Plain bun, Sesame seed bun Side order Fries, Onion rings Fruit drink Orange, Grape, Cherry, Lemonade How many Kids' Lunches are possible?
Answers
The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.
What is combination in Math?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.
Hence,
The number of possible "Sizes" from the specified 4 sizes are ⁴C₁
The number of sorts of bun that is possible from the specified two bun types is: ²C₁
From the four sides, the number of possible side purchases is: ⁴C₁
Of the available four drinks, the number of the possible drinks is: ⁴C₁
Now the possible number of all lunches are:
⁴C₁ x ²C₁ x ⁴C₁ x ⁴C₁
= 4 x 2 x 4 x 4
= 128
Hence the number of Kid's Lunches that are possible are 128.
Learn more about combination:
https://brainly.com/question/20211959
#SPJ1
Hey! Can someone please help, I don't understand this.
Answers
See the graph. It shows the sketch.
Height (in.)
654321
Plant Growth
B
0 1 2 3 4 5 6
Time (weeks)
Ź
plant A:
plant B:.
Line A
Step 1: Identify two points 4 and 23
ху
4-3
4-2
xy
Step 2: Find the slope and simplify
Step 3: Label the answer with units
Line B
Step 1: Identify two points and
Step 2: Find the slope and simplify
Step 3: Label the answer with units
-1
=1/12
Answers
Line A:
1. The points are (4,5) and (2,3)
2. The slope is 1
3. Unit for slope is inch/week
Line B:
1. The points are (4,4) and (2,3)
2. The slope is 1/2
3. Unit for slope is inch/week
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Line A:
1. The points are (4,5) and (2,3) ( write in (x,y) form )
2. slope = (5-3)/(4-2) = 2/2 = 1
( slope= change in y values/ change in x values )
3 . mark the slope as 1 inch/week
Line B:
1. The points are (4,4) and (2,3)
2. slope = (4-3)/(4-2) = 1/2
3 . mark the slope as 1/2 inch/week
To learn more about the slope from the given link
https://brainly.com/question/16949303
#SPJ1
answer again guys double points hi guys hurry please
Answers
The equation that represent the proportional relationship is t = 2 / 5 H.
How to represent proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
A proportional relationship is one in which two quantities vary directly with each other.
We say the variable y varies directly as x if:
y = kx
for some constant k , called the constant of proportionality .
The equation that represent the proportional relationship can be represented as follows:
t = KH
using
t = 2
H = 5
Hence,
2 = 5k
k = 2 / 5
Therefore,
t = 2 / 5 H
learn more on proportional relationship here:https://brainly.com/question/28780793
#SPJ1
During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.
Answers
The percentage change in GDP is 2.04%
Percentage ChangePercentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.
The formula of percentage change is given as
Percentage change =[ (New increase - old value) / old value] * 100
Percentage change = [(14.72 - 14.42) / 14.72] * 100
Percentage change = 2.04%
In this case, there is a percentage decrease of 2.04%
Learn more on percentage change here;
https://brainly.com/question/8728504
#SPJ1
Please I need help WHATS the answer to this show work please 3x+5=z
Answers
Answer:
Step-by-step explanation:
well, you have to determine what the variables are first. this question cannot be answered unless the variables are defined. If x=3 then it is 3(3) +5 which is 9 + 5. Then you add the numbers together which equals 14.
Please help, I’ll mark your answer as brainliest.
Answers
Answer:
HNO3. AND H3O
Step-by-step explanation:
BECAUSE THE TWO OF THEN GIVE AN (H) to the base
Given the graph answer the following questions "" (-2,0) (1,-9) opens up opern down (4,0) x=1 Vertex
Axis of Symarnetry
Y-intercept
x intercept(s)
Concevity
Answers
The diagram of the parabolic graph in the question indicates that responses are;
Vertex; (1, -9)
Axis of symmetry; x = 1
Y-intercept; (0, -8)
X-intercept(s); (-2, 0), (4, 0)
Concavity; opens up
What is a graph;A graph is a pictorial representation of the variation of one variable with respect to other variables.
Vertex
The vertex point of a parabolic graph represents the point where the parabola intersects the axis of symmetry
The vertex point of the parabolic graph in the question is; (1, -9)
Axis of symmetry
The axis of symmetry divides the graph of the parabola into two halves of the same dimensions, such that each side is a mirror reflection of the other.
The axis of symmetry is the line represented by the x-coordinate of the vertex, which is x = 1.
Y-intercept
The y-intercept is the point where the graph intersects the y-axis.
The y-intercept in the parabolic graph in the question is (0, -8)
X-intercept
The x-intercept is the location or point where the graph intersects the x-axis. The x-intercept of the graph in the question are (-2, 0) and (4, 0)
Concavity
The concavity of a graph is the rate of change of the derivative of the function.
If the derivative is increasing, the graph is concave upwards, and has a U-shape
The graph in the question is concave upwards
Learn more about parabolic graphs in mathematics here:
https://brainly.com/question/16173841
#SPJ1
K
A car rental agency rents 440 cars per day at a rate of $40 per day. For each $1 increase in rate, 10
fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What
is the maximum income?
...
The rental agency will earn a maximum income of $
when it charges $
per day.
Time Remaining: 01:44:21
Next
Answers
The maximum income is Maximum cost C is $19740
What is the maximum income?Let Q represent the number of cars rented per day and P the rate.
To form the demand equation;
Q = a - bP
A car rental agency rents 440 cars per day at a rate of $40 per day
440 = a - 40b ......1
For each $1 increase in rate, 10 fewer cars are rented
(440-10) = a - (40+1)b
430 = a - 41b ......2
Subtracting equation 2 from 1
10 = b
From equation 1;
440 = a - 10(40)
a = 440 + 400 = 840
So;
Q = 840 - 10P
Cost C = Q×P = P (840-10P) = 840P - 10P^2
Maximum cost is at dC/dP = 0
dC/dP = 840 - 20P = 0
P = 840/20 = $42
Maximum cost C is
C = P(840-10P) = 42(840-370) = 42 × 470 = $19740
The maximum income is Maximum cost C is $19740
To learn more about maximum income refer to:
https://brainly.com/question/16046048
#SPJ1
Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?
Answers
Answer: Answer below
Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.
we can verify our answer by doing 9x8 which equals 72.
Answer: 9
Step-by-step explanation:
bears divided by shelves = number of bears per shelf
72 bears divided by 8 shelves= 9 bears per shelf
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8.
27y= x³, y=0, x=6
Answers
The volume V generated by rotating the region bounded by the given curves is V = 960π/7.
Given:
the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8.
27y= x³, y=0, x=6
dV = π(8^2-(8-y)^2)dx
y = [tex]x^{3} /27[/tex]
= π*([tex]8^2-(8-(x^3/27)^2)dx[/tex]
= π(64 - 64+16*[tex]x^3/27[/tex]-[tex]x^6/729[/tex])dx
[tex]= \int\limits^6_0 {16x^3/27-x^6/729} \, dx[/tex]
= π(4.[tex]6^6/27 - 6^7/7.729[/tex])
= π(5184/27 - 384/7)
= π(960)/7
Learn more about the volume here:
https://brainly.com/question/1578538
#SPJ1
Rewrite sin(x+5pi/4) in terms of sin(x) and cos(x)
Answers
sin(x+5pi/4) sin(x+5pi/4) in terms of sin(x) and cos(x) can be rewritten as cos (x) . sin [tex](\frac{x + 5\pi }{4} )[/tex] .sin (x)
What is trigonometryTrigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles
Let find the common multiplier of sin
[tex](\frac{x + 5\pi }{4} )[/tex]sin (x), cos(x); cos (x) sin[tex](\frac{x + 5\pi }{4} )\\[/tex] sin (x)
Find the least common Multiplier of sin [tex](\frac{x + 5\pi }{4} )[/tex] sin (x) , cos (x)
Lowest common multiplier (LCM)
The LCM of a, b is the smallest multiplier that is divisible by both a and b
Factor sin [tex](\frac{x + 5\pi }{4 } )[/tex]sin ( x)
sin[tex]( \frac{x + 5\pi }{4} )[/tex]. sin(x)
Multiplier each factor with the highest power;
cos (x) .sin [tex](\frac{x + 5\pi }{4} )[/tex].sin (x)
Therefore, the trigonometry sin(x+5pi/4) in terms of sin(x) and cos(x) can be rewritten as cos (x) . sin [tex](\frac{x + 5\pi }{4} )[/tex] .sin (x)
Learn more about trigonometry here: https://brainly.com/question/24349828
#SPJ1
Evaluate. (5/6+2/3)−(3/4+1/12) Enter your answer as a fraction in simplest form by filling in the boxes. $$
Answers
The evaluation of the fraction (5/6 + 2/3) - (3/4 + 1/12) in its simplest form is 2/3
How to evaluate fractions?A fraction is a number which consists of a numerator and a denominator.
A numerator is the upper or top value of a fraction while a denominator is the lower or bottom value of a fraction.
(5/6 + 2/3) - (3/4 + 1/12)
= (5+4)/ 6 - (9+1) / 12
= 9/6 - 10/12
= 3/2 - 5/6
= (9-5) / 6
= 4/6
= 2/3
Consequently, the answer to the given fraction in its simplest form is 2/3
Read more on fraction:
https://brainly.com/question/11562149
#SPJ1
Start Root 144 End Root=
A. 11
B. 12
C. 13
D. 14
pre algebra
fast would appreciate it
Answers
Answer:
the answer is 12
explanation 12x12= 144
PLS HELP There are a minimum of 360 different breeds of dogs recognized worldwide.
Which inequality represents this statement?
x > 360
x < 360
x ≥ 360
x ≤ 360
Answers
Answer:
[tex]x \geqslant 360[/tex]
Express 602.16 dam in decimeters
Answers
The expression of 602.16 dam in decimeters can be written as 60216 decimeter.
How can the expression of 602.16 dam be converted to decimeters?The concept that will be used in the calculation is conversion. to perform this conversion, it is important to note that 1 Decimeter (dm) is equal to 0.01 dekameter (dam).
Then, if 1dm = 0.01 dam
Xdm = 602.16 dam
Where x is the value in decimeter.
Then we can cross multiply as :
X= (602.16 dam * 1dm)/ 0.01 dam
= 60216 decimeter.
Learn more about conversion at:
https://brainly.com/question/97386
#SPJ1
