The product of the two matrices is [2 - 3] x [1 - 4]
[ 3 2] [4 1]
option B.
What is a product of matrices?A product matrix is also known as matrix multiplication, which involves the multiplication of two matrices, to get or simply to a single matrix.
For example, if P and Q are the two matrices, then the product of the two matrices P and Q are denoted by:
Y = PQ.
For the given question; we have the first matrix as; (2 - 3i) and the second matrix as (1 - 4i).
Matrix (2 - 3i) is transformed to [2 - 3]
[ 3 2]
Matrix (1 - 4i) is transformed to [1 - 4]
[4 1]
The product of the two matrices = [2 - 3] x [1 - 4]
[ 3 2] [4 1]
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The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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5 2/3 - 2 3/4 In Fractions
Answer:
\(\frac{35}{12}\)
Step-by-step explanation:
\(\frac{17}{3} -\frac{11}{4}=\)
\(\frac{68}{12}-\frac{33}{12}=\)
\(\frac{35}{12}\)
Answer:
2 11/12
Step-by-step explanation:
Well... technically 5 2/3 and 2 3/4 are fractions so you subtract em
PARALLEL PERPENDICULAR OR NEITHER OR SAME slope
Answer:
21. Same Line
22. Same Line
23. Perpendicular
24. Neither
25. Parallel
26. Neither
27. Neither
28. Neither
29. Perpendicular
30. Perpendicular
31. Neither
32. Perpendicular
33. Parallel
34. Perpendicular
35. Perpendicular (?)
36. Neither
37. Neither
38. Parallel
39. Neither
40. Parallel
Sarah would like to hire a clown for her daughter's birthday party. Clown A
is offering his services for an initial fee of $105 in addition to $9 per hour.
Clown B is offering her services for an initial $155 fee in addition to $6 per
hour. When will the two clowns charge the same amount of money? Use a
table to estimate the solution.
The two clowns charge the same amount of money at 16.66 hours.
What is Wages?Payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, let the duration of birthday party be x hours.
For Clown A,
Initial fee = $ 105
Additional charge = $ 9 per hour
Total amount of clown A = $ (9x + 105) ...........(i)
For Clown B,
Initial fee = $ 155
Additional charge = $ 6 per hour
Total amount of clown B = $ (6x + 155) ...........(i)
Now, according to question
9x + 105 = 6x + 155
9x - 6x = 155 - 105
3x = 50
x = 50/3
x = 16.66 hours
Thus, the two clowns charge the same amount of money at 16.66 hours.
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Let F(x) = ∫x-0 sin(8t^2) dt.
Find the MacLaurin polynomial of degree 7 for F(x).
___
Use this polynomial to estimate the value of ∫0.72-0 sin(8x^2) dx. Answer needs to be 9 decimal places.
The estimated value of ∫(0.72 to 0) sin(8x^2) dx is approximately 0.028896 (rounded to 9 decimal places).
To find the MacLaurin polynomial of degree 7 for F(x), we need to find the derivatives of F(x) up to the 7th order, and evaluate them at x = 0. Let's calculate:
F(x) = ∫(0 to x) sin(8t^2) dt
To find the derivatives, we can use the Fundamental Theorem of Calculus:
F (x) = sin(8x^2)
F (x) = 16x cos(8x^2)
F(x) = 16(3 - 16x^2) sin(8x^2)
F (x) = 16(3 - 48x^2 - 64x^4) cos(8x^2)
F (x) = 16(105x - 160x^3) sin(8x^2)
F (x) = 16(105 - 480x^2 + 320x^4) cos(8x^2)
F (x) = 16(840x - 960x^3 - 512x^5) sin(8x^2)
F (x) = 16(840 - 2880x^2 + 1600x^4 + 5120x^6) cos(8x^2)
Now, let's evaluate these derivatives at x = 0 to find the coefficients of the MacLaurin polynomial:
F (0) = 0
F (0) = sin(0) = 0
F (0) = 16(0)cos(0) = 0
F (0) = 16(3 - 0)sin(0) = 0
F (0) = 16(3 - 0 - 0)cos(0) = 48
F (0) = 16(0)sin(0) = 0
F (0) = 16(105 - 0 + 0)cos(0) = 105
F 0) = 16(0)sin(0) = 0
F (0) = 16(840 - 0 + 0)cos(0) = 840
The coefficients of the MacLaurin polynomial of degree 7 are: 0, 0, 0, 48, 0, 105, 0, 840.
Now, let's use this polynomial to estimate the value of ∫(0.72 to 0) sin(8x^2) dx.
We substitute the polynomial coefficients into the polynomial expression:
P(x) = 48x^4 + 105x^6 + 840x^8
Next, we evaluate the integral using this polynomial:
∫(0.72 to 0) sin(8x^2) dx ≈ ∫(0.72 to 0) P(x) dx
≈ [48/5 x^5 + 105/7 x^7 + 840/9 x^9] from 0 to 0.72
≈ 48/5 * (0.72)^5 + 105/7 * (0.72)^7 + 840/9 * (0.72)^9
Evaluating this expression, we get the estimate:
∫(0.72 to 0) sin(8x^2) dx ≈ 0.028896
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8th grade mathematics
What is the x-intercept of the graph that is shown below?
O (-2, 0)
O (-1, 2)
O (0,4)
O (4,0)
I appreciate all of your answers, thank you :)
Answer: (-2, 0)
Step-by-step explanation:
1. The arrow crossed the -2 and the y-axis 4.
2. We don't need the y-axis due to it asked what is the x-intercept.
3. So, they y-axis stays zero while the x-axis is -2.
Please help me with this I really appreciate it.
Answer: Heyaa! ( Very nice Handwriting )
Slope: 4
Step-by-step explanation:
y-intercept: (0,0)
X ₋₋₋ Y
₋₋₋₋₋₋₋₋₋₋
0 ║ 0
1 ║ 4
Hopefully this helps you !
- Matthew ~
Find the slope and the y-intercept of the line. 8x+4y=12
Answer:
To find the slope and y-int, put it into slope-intercept form by isolating y.
Step-by-step explanation:
7a + b - 12 wich is the coefficient?
help pls
tysmmm
The air temperature was +3 ° C during the day and drops to -5 ° C at night. How many degrees has the air temperature changed?
Step-by-step explanation:
come on ! for sure you have worked with a thermometer before in your life ?
please don't switch off the brain just because it is math. keep it and your common sense active also for math problems.
you would be surprised how many you can solve just by logical thinking and applying your own life experiences. math is actually everywhere.
how many degrees from 3 to 0 ? 3
how many degrees from 0 to -5 ? 5 !
so, in total 3 + 5 = 8 degrees.
formally it is
|-5 - 3| = |-8| = 8 degrees difference.
you know the "absolute value" function that returns always the positive value of the argument, no matter if it is negative or already positive ?
which choices are equivalent to the expresión below? Check all that apply. √3* √3
The equivalent expressions are is √75, √25 • √3, √15 • √5
Which two expressions are interchangeable?When two expressions can be reduced to a single third expression or when one of the expressions can be written in the same way as the other, they are said to be equivalent. When values are replaced for the variable and both expressions yield the same result, you may also tell if two expressions are equal.
What is a good example of an equivalent expression?Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.
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a car drives at a speed of 90km/h for 2 hours and 20 minutes how far does the car drive ?
Answer:
explanation
Step-by-step explanation:
it drives 18 miles?
I'm not sure.
if I am right plz give brainliest
Choose the statement that is true.
A. If two polygons are congruent, then they are similar.
B. If two quadrilaterals are rhombi, then they are similar.
C. If two hexagons are equiangular, then they are similar.
D. If two triangles are isosceles, then they are similar.
Answer:
The answer is A. If two polygons are congruent, then they are similar
Step-by-step explanation:
Just took the test!
which checks of plots would be useful for deciding whether the assumptions for two-way anova are met?
The populations from which the samples are obtained must be normally distributed.
Sampling is done correctly. Observations for within and between groups must be independent.
The variances among populations must be equal (homoscedastic).
Data are interval or nominal.
10 4 4) Maureen has spent 12 9/10hours tutoring students in math and 6 3/4 tutoring students in science, Which choice is the best estimate for how many hours Maureen has spent tutoring?
(A) 15 hours
(C) 20 hours
(B)25 hours
(D) 30 hours
Answer:
(C) 20 Hours
Step-by-step explanation:
Mohamed plants 30 roses in 5 plots,if he needs to plant 120 roses,how many plots he needs ?
\([Hello,BrainlyUser]\)
Answer:
20 Plots
Step-by-step explanation:
Given:
Plants 30 roses in 5 plots
Plants 120 roses in [?] Plots
Question:
How many plots he needs ?
Solve:
\(\frac{roses}{plots}=Solution\)
Divide 30 roses by 5 plots = 6
Hence, 120 roses divide by 6
\(\frac{120}{6}=20\)
Therefore, Mohamed need 20 Plots.
\([CloudBreeze]\)
if C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E
Answer:
AB=14x-14
Step-by-step explanation:
to find the length of AB:
AB=AM+MB
AB= 6x-4+8x-10
AB=14x-14
what is the ending value of sum, if the input is 2 5 7 3? all variables are integers. cin >> x; sum
12 is the ending value of sum.
Ending value of sum=?
x = scnr.nextInt();
sum = 0;
for (i = 0; i < x; ++i) {
currValue = scnr.nextInt();
sum += currValue;
}
Input provided to the code 2 5 7 3.
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Write an equation of the line, in point-slope form, that passes through the points (–7, 2) and (3, –2). Use (–7, 2) as the point (x1, y1)
Answer:
first use the equation m = y2 - y1 / x2- x1 to get the slope
m = -2 - 2 = -4
m = 3 + 7 = 10 when there is a negative for x1 it turns positive
the slope is -4/10 or -2/5
now plus the info into the point slope equation
y - y1 = m (x-x1)
this is in point slope form y - 2 = -2/5 (x + 7)
This is how to get it in y-intercept form
y -2 = -2/5x + -2.8
now add -2 on both sides to the -2.8
y = -2/5x (Slope) + -0.8 y- intercept
Hopefully this is right becuase this is just what i learned
Step-by-step explanation:
There are three pieces of mail in Ms. Thomas's mailbox a bill from the phone company for $36.12, a bill from the
electric company for $67.35, and a tax refund check for $25.09. (A bill is money that you owe, and a tax refund
check is money that you receive
Answer:
What is the rest of the question?
Step-by-step explanation:
The price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve?
If the price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
What is demand curve?Demand curve can be defined as the curve that show price of goods and services produced as well as the quantity demanded for the goods produce at a particular period of time.
The price change can be represented on the demand curve when price increase and this happen when the price of goods move from one point on a line to a higher point on the line
Therefore how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
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what is the value of 20+30(7+4)+5+2(7+99?
Answer:
the answer is 567
Step-by-step explanation:
20+30(11)+5+2(106)
20+330+5+212
= 567
Help help help help help help help
there are 6 boxes each weight 720g that mickey mouse need to carry to goofy house mickey is only strong enough to carry 4 kg at one time. can mickey carry all the boxes on one trip? show work to explain how you know
Answer:
He will be able to carry the 6 boxes one go
Step-by-step explanation:
\(1000g = 1kg \\720g = \frac{720 \times 1}{1000} \\ = 0.72kg\)
So each box is 0.72kg
then 6 boxes =
\(0.72 \times 6 \\ = 4.32\)
and that's approximately 4 so in total the the 720g is actually 4kg and can be carried at once
Please Help Me! Look at the Image!
Answer:
y=-2x+1
Step-by-step explanation:
Just look at photo dap
Consider the figure shown with vertices O(0, 0) , A(- 4, 1); B(- 3, 5) and C(1, 4). Is this parallelogram a rectangle?
Based on the fact that the opposite sides are parallel and the diagonals are congruent, we can conclude that the parallelogram formed by the given vertices O, A, B, and C is indeed a rectangle.
To determine whether the parallelogram formed by the vertices O(0, 0), A(-4, 1), B(-3, 5), and C(1, 4) is a rectangle, we need to consider the properties of a rectangle.
A rectangle is a quadrilateral with four right angles (90 degrees each). We can examine the properties of the given parallelogram to determine if it satisfies these conditions.
First, we can calculate the slopes of the opposite sides of the parallelogram.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 - y1) / (x2 - x1)
Using this formula, we can calculate the slopes of AB and OC:
Slope of AB = (5 - 1) / (-3 - (-4)) = 4/1 = 4
Slope of OC = (4 - 0) / (1 - 0) = 4/1 = 4
Since the slopes of the opposite sides AB and OC are equal, we can conclude that AB and OC are parallel.
Next, we can calculate the slopes of the other pair of opposite sides OA and BC:
Slope of OA = (1 - 0) / (-4 - 0) = 1/-4 = -1/4
Slope of BC = (4 - 5) / (1 - (-3)) = -1/4
Again, we find that the slopes of OA and BC are equal, meaning that OA and BC are parallel.
Since both pairs of opposite sides are parallel, this parallelogram satisfies one of the properties of a rectangle.
However, to confirm if it is indeed a rectangle, we also need to check if the diagonals are congruent (equal in length).
Let's calculate the lengths of the diagonals:
Length of diagonal \(AC = \sqrt{((1 - 0)^2 + (4 - 0)^2) }\)
\(= \sqrt{(1^2 + 4^2) }\)
= √17
Length of diagonal \(OB = \sqrt{((-3 - (-4))^2 + (5 - 1)^2) }\)
\(= \sqrt{(1^2 + 4^2) }\)
= √17.
Since the lengths of both diagonals AC and OB are equal, the parallelogram satisfies this additional property of a rectangle.
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Help asap!! Will give brainlist
The combined area of dark pieces is 253.5 in².
First, Area of 5 light pieces
= length x width
= 3 3/4 x 39
= 15/4 x 39
= 146.25 in²
Now, Area of board
= L x W
= 29 x 39
= 1131 in²
Thus, the combined area of dark pieces
= 1131 - 146.25 x 6
= 253.5 in²
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Last month I used 2205 kWh of electricity. If the rate was $.09884, my bill would be $
Answer:
$217.99
Step-by-step explanation:
To calculate your electricity bill, you need to multiply the number of kilowatt-hours (kWh) used by the rate per kWh.
Using the given information:
Number of kWh used = 2205
Rate per kWh = $0.09884
To calculate the bill:
Bill = Number of kWh used x Rate per kWh
= 2205 kWh x $0.09884/kWh
= $217.99
Therefore, your electricity bill would be $217.99 if you used 2205 kWh at a rate of $0.09884 per kWh.
Answer:
To calculate your bill for using 2205 kWh of electricity at a rate of $.09884 per kWh, you can use the following formula:
Bill = kWh used x Rate per kWh
Plugging in the values given, we get:
Bill = 2205 x 0.09884
Simplifying the calculation, we get:
Bill = 217.5354
Rounding to two decimal places, the bill would be $217.54.
Hope This Helps!
Solve the inequality. 3x + 5 < 6x - 1
Answer:
x>2
Step-by-step explanation:
Answer:
5+1<6x-3x
6<3x
3. 3
x= 2
Unfortunately, statistics prove that motorcyclists are _______ times as likely as a passenger car occupant to die in a motor vehicle accident. 15 35 42 75
Statistics prove that motorcyclists are B: 35 times as likely as a passenger car occupant to die in a motor vehicle accident.
Compared to the occupants of motor vehicles, motorcycles provide their riders with very little protection from injury. Motorcycles have virtually no ability to absorb the impact from another vehicle; there is the potential for serious injuries or even death for any rider as a result of a motorcycle crash or accident.
Unfortunately, according to statistics motorcycle deaths accounted for 14% of all motor vehicle crash deaths. A motorcyclist is about 35 times more likely to die in an accident compared to passengers in cars.
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