[tex]a_{ij}=3j-2i[/tex] is the formula for (i, j )-th entry (row i, column j ) of the matrix. So the matrix would be
[tex]\begin{bmatrix}3\times1-2\times1&3\times2-2\times1&3\times3-2\times1\\3\times1-2\times2&3\times2-2\times2&3\times3-2\times2\\3\times1-2\times3&3\times2-2\times3&3\times3-2\times3\end{bmatrix} = \begin{bmatrix}1&4&7\\-1&2&5\\-3&0&3\end{bmatrix}[/tex]
Find the area (in square feet) of a rectangle that measures 17" × 3'10".
Answer:
65 feet and 2 inches
Step-by-step explanation:
to find the area of a rectangle you need to multiply length times width in this case 17" times 3'10". But first you must convert everything into the same form(in this case feet) so first you can convert everything to inches by multiplying 3 times 12 which gives you 36 then add the 10, so it is now 46 inches then multiply that by 17 and altogether it is 782 inches, then divide by 12 (to convert it back to feet) and the answer is 65.1666666667. After you can round and get 65 feet and 2 inches.
Which point on the number line shows the graph of
Answer:
the correct answer is point b
A company makes cylindrical crackers that have a cylindrical hole in the middle.
The diameter of the entire cracker is 16\text{ mm}16 mm16, start text, space, m, m, end text, the diameter of the hole is 8\text{ mm}8 mm8, start text, space, m, m, end text, and the cracker is 18\text{ mm}18 mm18, start text, space, m, m, end text long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.
Answer:
Its 2714
Step-by-step explanation:
Khan Academy
The volume of the material that would be needed for each cylindrical cracker is approximately: 2,714 mm³ mm³.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
The volume of the material used for each cylindrical cracker = Volume of entire cylindrical cracker - volume of cylindrical hole
Radius of entire cracker (r) = 16/2 = 8 mm
Height (h) = 18 mm
Volume of the entire cracker = π(8²)(18) ≈ 3,619 mm³
Radius of hole (r) = 8/2 = 4 mm
Height (h) = 18 mm
Volume of the entire cracker = π(4²)(18) ≈ 905 mm³
The volume of the material used for each cylindrical cracker = 3,619 - 905 = 2,714 mm³
Learn more about the volume of cylinder on:
https://brainly.com/question/9554871
#SPJ6
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis.
Using the shell method, the volume integral would be
[tex]\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx[/tex]
That is, each shell has a radius of x (the distance from a given x in the interval [0, 2] to the axis of revolution, x = 0) and a height equal to the difference between the boundary curves y = x ⁸ and y = 256. Each shell contributes an infinitesimal volume of 2π (radius) (height) (thickness), so the total volume of the overall solid would be obtained by integrating over [0, 2].
The volume itself would be
[tex]\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx = 2\pi \left(128x^2-\frac1{10}x^{10}\right)\bigg|_{x=0}^{x=2} = \boxed{\frac{4096\pi}5}[/tex]
Using the disk method, the integral for volume would be
[tex]\displaystyle \pi \int_0^{256} \left(\sqrt[8]{y}\right)^2\,\mathrm dy = \pi \int_0^{256} \sqrt[4]{y}\,\mathrm dy[/tex]
where each disk would have a radius of x = ⁸√y (which comes from solving y = x ⁸ for x) and an infinitesimal height, such that each disk contributes an infinitesimal volume of π (radius)² (height). You would end up with the same volume, 4096π/5.
The volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have a function:
[tex]\rm y = x^8[/tex] or
[tex]x = \sqrt[8]{y}[/tex]
And y = 256
By using the vertical axis of rotation method to evaluate the volume of the solid formed by revolving the region bounded by the curves.
[tex]\rm V = \pi \int\limits^a_b {x^2} \, dy[/tex]
Here a = 256, b = 0, and [tex]x = \sqrt[8]{y}[/tex]
[tex]\rm V = \pi \int\limits^{256}_0 {(\sqrt[8]{y}^2) } \, dy[/tex]
After solving definite integration, we will get:
[tex]\rm V = \pi(\frac{4096}{5} )[/tex] or
[tex]\rm V =\frac{4096}{5}\pi[/tex] cubic unit
Thus, the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.
Learn more about integration here:
brainly.com/question/18125359
hurry
What is the measure of the unknown angle?
Image of a straight angle divided into two angles. One angle is forty two degrees and the other is unknown.
Answer:
x = 138
Step-by-step explanation:
A straight line is 180
x+ 42 = 180
X = 180-42
x = 138
The domain of a function is always equal to which one of the following options?
A. all possible output values of the function
B. the range of the function
C. all possible input values of the function
D. all real numbers
Answer:
C. all possible input values of the function
Step-by-step explanation:
Answer:
C is right
Step-by-step explanation:
domain is f(x)=x^2 is all real numbers but domain g(x)=1/x is all real numbers except for 0 which is x but domains and the rang can be the same also
increased from 1432 to 2219. Which of the following is the approximate percent of increase
22. Between the years 2000 and 2010, the number of births in the town of Daneville
in the number of births during those ten years?
a. 55%
b. 36%
c. 64%
d. 42%
9514 1404 393
Answer:
a. 55%
Step-by-step explanation:
The percentage increase is calculated from ...
% increase = (amount of increase)/(original amount) × 100%
= (2219 -1432)/1432 × 100% = 787/1432 × 100% ≈ 54.96%
The number of births increased by about 55% during those 10 years.
Answer:
Step-by-step explanation:
2219-1432/1432 x 100% = 787/1432 x 100 = 54.9581~~ 55%
If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields
consecutive terms of a geometric sequence. What are the first three terms in the
geometric sequence?
You're looking for a number w such that the numbers
{1 + w, 7 + w, 15 + w}
form a geometric sequence, which in turn means there is a constant r for which
7 + w = r (1 + w)
15 + w = r (7 + w)
Solving for r, we get
r = (7 + w) / (1 + w) = (15 + w) / (7 + w)
Solve this for w :
(7 + w)² = (15 + w) (1 + w)
49 + 14w + w ² = 15 + 16w + w ²
2w = 34
w = 17
Then the three terms in the sequence are
{18, 24, 32}
and indeed we have 24/18 = 4/3 and 32/24 = 4/3.
How would A = L + O be rewritten to solve for O?
Answer:
A - L = O
Step-by-step explanation:
A = L + O
Subtract L from each side
A-L = L + O - L
A - L = O
The way that the given formula A = L + O can be rewritten to solve for O is; O = A - L
How to change subject of formula?We are given the formula to find A as;
A = L + O
Now, to make O the subject of the formula, let us use subtraction property of equality to subtract L from both sides to get;
A - L = L + O - L
O = A - L
Thus, the way the formula can be rewritten to solve for O is;
O = A - L
Read more about Subject of Formula at; https://brainly.com/question/10643782
#SPJ2
4) Daily tickets to Six Flags cost $50 each.
Variable #1:
What is the variable
Answer:
Amount of tickets
Step-by-step explanation:
The variable is the amount of tickets purchased because that is the only thing that changes, according to the statement that says that daily tickets are $50.
The price of an item has been reduced by 70%. The original price was $30. What is the price of the item now?
Answer:
$9
Step-by-step explanation:
30*(100%-70%)=9
Answer:
9
Step-by-step explanation:
Take the original price
Multiply by the discount percent
30 *70%
30 *.70
21
The discount is 21 percent
Subtract this from the original amount
30-21
9
Which of the following is a monomial?
A. 8x^2 +7x+3
B. √x-1
C. 9/x
D. 7x
Answer:
7x is monomial according to question.
Jane and her two friends will rent an apartment for S550 a month, but Jane will pay double what each friend does because she will have her own bedroom.
How much will Jane pay a month?
Answer:
$275 a month
Step-by-step explanation:
Let x represent how much each friend is paying.
The amount Jane pays can be represented by 2x, since she is paying double than her friends.
Add together these terms and set them equal to 550. Then, solve for x:
x + x + 2x = 550
4x = 550
x = 137.5
So, each friend is paying $137.50. Double this to find how much Jane is paying:
137.5(2)
= 275
So, Jane is paying $275 a month
purchased a book rs 500 sold 20%profit find its actual profit and sel
ling price
Answer:
Selling price=rs.600.
Profit of rs=100.
Step-by-step explanation:
C.P=500; profit%=20%
S.P.=100+profit%×C.P/100
S.P=120×500/100
=rs.600
S.P>C.P
Profit S.P-C.P
600-500=100
he gained for rs.100.
Which of the following theorems verifies that A DEF - AXZY?
O A. LL
B. HA
C. HL
D. AA
HA
Step-by-step explanation:See In Triangle DEF and Triangle XZY
[tex]\because\begin{cases}\sf \angle E=\angle Z=90° \\ \sf \ FD\sim XY=Hypotenuse\end{cases}[/tex]
Hence
[tex]\sf \Delta DEF\sim \Delta XZY(Angle-Angle)[/tex]
The theorems that verify that Δ DEF ~ Δ XZY is AA theorem of similarity.
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, two triangles, Δ DEF and Δ XZY, we need to find a theorem that will verify that, Δ DEF and Δ XZY are similar,
So, we have, ∠ X = 40°,
Therefore, ∠ Y = 90°-40° = 50°
Now, we get,
∠ Y = ∠ F = 50°
∠ E = ∠ Z = 90°
We know that,
if two pairs of corresponding angles are congruent, then the triangles are similar.
Therefore, Δ DEF ~ Δ XZY by AA rule
Hence, the theorems that verify that Δ DEF ~ Δ XZY is AA theorem of similarity.
Learn more about Similar triangles click;
https://brainly.com/question/14926756
#SPJ7
Write down the missing number number 86 493 -...... =8420
Answer:
78,073
Step-by-step explanation:
Subtract 8,420 from 86,493...86,493-8,420=78,073 is the answer
Double check by using inverse operations...78,073+8,420=86,493
It is correct, as I ended up with 86,493, the starting number of the equation.
Payton took a friend for a birthday dinner. The total bill for dinner was $44.85 (including tax and a tip). If Payton paid a 19.5% tip, what was his bill before adding the tip?
(Round your answer to the nearest cent.)
$
Number
Answer:
The answer closest to 36.10425. So 36.10 or 36.1
Step-by-step explanation:
x = 44.85 ( 1 - 0.195) = 36.10425
If this helps, it would be nice if 5 stars are given, and a brainliest :)
The amount of the bill before adding the amount of tip is evaluated being of $37.53 approx.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we can assume the amount of bill without tip being A.
Then, as given, Payton gave 19.5% tip (tip is given assumingly on A), then:
Total price of the bill = Bill amount before tip + Tip
44.85 = A + (19.5 % of A)
(we don't write symbols like of currency generally in equations, and understand it from context(which is dollars here))
44.85 = A + (19.5 % of A)
or
[tex]44.85 = A + \dfrac{A}{100} \times 19.5\\\\\text{Multiplying 100 on both the sides}\\\\4485 = 100A + 19.5A\\4485 = 119.5A\\\\\text{Dividing both the sides by 119.5}\\\\\dfrac{4485}{119.5} = A\\\\37.53 \approx A\\\\A \approx 37.53 \: \rm \text{(in dollars)}[/tex]
Thus, the amount of the bill before adding the amount of tip is evaluated being of $37.53 approx.
Learn more about percent here:
https://brainly.com/question/11549320
If the white rod is 1/3, what color is the whole??
Answer:
brown
Step-by-step explanation:
it might be brown because it compelled
A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 666 centimeters per minute. After 202020 minutes, the water level is 220220220 centimeters.
Graph the relationship between the pool's water level (in centimeters) and time (in minutes).
I cant graph it on here but. if your graph goes by 10 then the slope should increase by 666 every minute on the x line
Answer:
The answer is in the screenshot
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
You plan to charge $1 for each time a student plays, and the payout for a win is $5. According to your calculations, the probability of a win is .05. What is your expected value for this game? The expected value
Answer:
- $0.75Step-by-step explanation:
For each game played the chance of winning is 0.05 and losing is 0.95.
If the student wins, they get $5 -$1 = $4, but they lose $1.
Expected value is:
4*0.05 - 1*0.95 = -0.75It means you will make $0.75 per average game.
Answer:
21.8
Step-by-step explanation:
Step 1
This is a problem on finding the mean of continuous grouped data. We first find the midpoint of each interval. For example, the first interval or class is 0 - 10. The mid-point of this class will be (0 + 10)/2 = 5.
fullscreen
Step 2
We now calculate the product of mid-point and frequency for each class. Here, the number of athletes in each class is the frequency of that class. For example, for the first class 0 – 10, its frequency is 3.
fullscreen
Step 3
We can now use the formula to calculate mean. Note that t...
What is the probability of randomly picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?
Answer
20%
Step-by-step explanation:
Use the discriminant to determine the number of real solutions to the equation 3m ^ 2 = - 6
Hi,
no need to use discriminant for that.
3(m)^2 = -6
m^2 = -6/3
m^2= -2
in R, there is no
solution as a square can not be negative.
Find the degree 9m^(2)+11m^(2)+2m^(2)
Ill give brainliest!
Answer:
The degree of this polynomial is 2.
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
The given polynomial is:
[tex]9m^2+11m^2+2m^2[/tex]
The only variable is m.
The power of m in all terms is 2.
So, the degree of this polynomial is 2.
PLEASE HELP
Identify the first five terms of the sequence in which a, = 3n2 - 1.
Step-by-step explanation:
you cannot just put the actual numbers in and calculate ?
and you can't provide the correct problem statement, as it seems.
I assume you mean
an = 3n² - 1
a sequence starts with a1, so, n>=1
a1 = 3×1² - 1 = 3-1 = 2
a2 = 3×2² -1 = 3×4 - 1 = 12 - 1 = 11
a3 = 3×3² - 1 = 3×9 - 1 = 27 - 1 = 26
a4 = 3×4² - 1 = 3×16 - 1 = 48 - 1 = 47
a5 = 3×5² - 1 = 3×25 - 1 = 75 - 1 = 74
there, that is all there is to it. you really needed help with that ?
Identify the type of equation: y-6 = 7(x+8)
Step-by-step explanation:
Recognize the relation between the graph and the slope–intercept form of an equation of a line
Identify the slope and y-intercept form of an equation of a line
Graph a line using its slope and intercept
Choose the most convenient method to graph a line
Graph and interpret applications of slope–intercept
Use slopes to identify parallel lines
Use slopes to identify perpendicular lines
Solve the equation.
1. For parentheses:
Distribute
4-2(x+7) = 3(x+5)
2. If necessary:
Combine Terms
3. Apply properties:
Add Subtract
Multiply
Divide
4. To start over:
Reset
Answer:
x = -5
Step-by-step explanation:
4-2(x+7) = 3(x+5)
Distribute
4 - 2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10 +2x =3x+2x+15
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15-15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
(-4/9)*3×(-27/20)*4=
(-4/9)*3×(-27/20)*4= 7.2
Step-by-step explanation:
here's the answer to your question
Please helps fill in the charts
A and b
With order of pairs
Answer:
...
Step-by-step explanation:
seeee the above picture
A hot air ballon is hovering 94 meters above the ground and begins to assend at a rate of 8 meters per second Let y be the height of the balloon in meters seconds after it begins to assend. Write an equation in slope-intercept form that models the height of the balloon. And how high is the ballon after 25 seconds?
Hi
let's call X amount of second going and Y the height reach by the ballon.
so Y=8X+94
f(x) = 8X+94
If you want to know how high will the ballon be in 25 seconds, remplace X by 25 and do the math. Have fun .
8 thousand+7tens=6thiusand+. tens
Answer:
207 tens
Step-by-step explanation:
If you mean
8,000 + 70 = 6000 + X tens
then it should be 207 tens