Multiplying matrices is a mathematical operation used to find the total cost of ads for each target group.
The order in which the matrices are multiplied is important because matrix multiplication is not commutative, meaning the result can differ depending on the order of multiplication. In the context of the problem, the order of multiplication determines how the various factors, such as the costs and target groups, are combined to calculate the total cost for each group. In the context of finding the total cost of ads for each target group, matrices are used to represent the costs and the allocation of ads to different groups. Let's say we have a matrix representing the costs of ads and another matrix representing the allocation of ads to target groups. To find the total cost for each group, we multiply these matrices.
However, matrix multiplication is not commutative, meaning that changing the order of multiplication can yield different results. This is because the order of multiplication determines how the elements of the matrices are combined. In the given problem, the order of multiplication determines how the costs and the allocation of ads are multiplied and summed to obtain the total cost for each target group.
For example, if we multiply the matrix representing the costs by the matrix representing the allocation of ads, we would be multiplying the costs by the number of ads allocated to each group, resulting in the total cost for each group. If we reverse the order and multiply the matrix representing the allocation of ads by the matrix representing the costs, the result would be different because we would be multiplying the number of ads allocated to each group by the costs, which would not give us the desired total cost for each group.
Therefore, the order of multiplication is important in this context to ensure that the factors, such as the costs and the allocation of ads, are correctly combined to calculate the total cost for each target group.
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Solve the equation in exponential form Y^x = 65 / 177 A. Log 65/177 X= y B. log x 65/177 = y C. Log 65/177 y = x D. Log y 65/177 = X
Therefore, the correct answer is C. Log 65/177 y = x.
The correct answer is C. Log 65/177 y = x.
To solve the equation in exponential form, we need to use the properties of logarithms. The equation Y^x = 65 / 177 can be rewritten in logarithmic form as Log Y (65/177) = x. Using the property of logarithms, Log a^b = b Log a, we can rewrite the equation as Log (65/177) Y = x. This is the same as option C, Log 65/177 y = x.
Therefore, the correct answer is C. Log 65/177 y = x.
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Simplify: (4x4y3)(4x4)
Answer:
16x⁸y³
Step-by-step explanation:
You want to simplify (4x⁴y³)(4x⁴).
Rules of exponentsThe relevant rule of exponents is ...
(a^b)(a^c) = a^(b+c)
SimplificationThe simplified form is ...
\((4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}\)
A pizza is to be cut into thirds. Each of these thirds is to be cut into sixths. What fraction of the pizza is each of the final pieces
Answer:
1/18
Step-by-step explanation:
The pizza is 1 piece
1 divided by 3 = 1/3
1/3 divided by 6 = 1/18
this is because dividing by a whole number is the same thing as multiplying by its reciprocal
therefore the final piece is 1/18 of the original pizza
Calculate the surface area of the gas
tank.
If your answer is a decimal, give it to 1dp
LOOK AT PHOTO
Help me please!!!
The surface area of the gas tank capsule represented to 1 dp is about 9079.2 cm²
What is the surface area of a solid object?The surface area of a solid object is the area of all the faces of the object.
Part of the dimension of the gas tank obtained from a similar question on the website is; Total length of the gas tank = 85 cm
Therefore;
Radial length of the tank = (85 cm - 51 cm)/2 = 17 cm
The surface area of the tank can be found as the surface area of a composite figure. The extreme right and left part of the tank together form a sphere, while the middle portion is a cylinder. Therefore, we get;
Surface area = 4 × π × 17² + 2 × π × 17 × 51 = (1734 + 1156) × π = 2890·π
Surface area of the figure = 2890·π cm² ≈ 9079.2 cm²
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What is the opposite of -8 ?
Answer:
The opposite will be positive 8.
Step-by-step explanation:
Answer: +8
Step-by-step explanation:
Select the correct vectors.
A ship moves through the water at 30 miles/hour at an angle of 30° south of east. The water is moving 5 miles/hour at an angle of 20° east of north. Identify the ship's vector, the water current's vector, and the vector representing the ship's actual motion.
Please select the correct answers from the image, thanks and godbless!
In the case above, the correct vectors are:
<25.98, -15>. <1.71, 4.7>.What is the ship vector about?The solution for the Ship's vector are:
Note that the Horizontal aspect = 30 cos 30
= 25.98.
For the Vertical aspect = 30 sin(-30)
= -15.
Hence it will be <25.98, -15>.
In regards to the current's vector:
The Horizontal aspect= 5 sin 20
= 1.71.
The Vertical aspect = 5 cos 20
= 4.7.
Hence it will be <1.71, 4.7>.
Therefore, In the case above, the correct vectors are:
<25.98, -15>. <1.71, 4.7>.Learn more about vectors from
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If BU is 8 and UA is 4 and AN is 24 what is GU
Using the concept of similar triangles, we can say that the length GU is 16
How to find the length of similar triangles?Similar triangles are defined as triangles that have the same shape, but we can say that their sizes may differ. Thus, if two triangles are similar, then it means that their corresponding angles are congruent and corresponding sides are in equal proportion.
Using the concept of similar triangles, we can say that:
GU/NA = BU/BA
BA = 8 + 4 = 12
Thus:
GU/24 = 8/12
GU = (24 * 8)/12
GU = 16
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There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items
190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x
Simplifying, we get that x=10x=10.
its 10
Can anyone help me with this question? Best answer will get brainliest!
a simple random sample of 31 observations was taken from a large population. the sample mean equals 5. five is a group of answer choices population parameter point estimate population mean standard error
If a simple random sample of 31 observations was taken from a large population. The sample mean equals 5 then the five is a point estimate
Total number of population = 31 observations
Sample mean of the population = 5
Sample mean is the average value of the sample that is selected from a large population of data.
The point estimate is defined as the single value estimate of the parameter. Point estimate is usually use when we have to choose single value from a larger population, that should be the best estimate to represents the parameter.
Here the sample mean of population is 5
Therefore, five is a point estimate
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Find the solution to the system. Write your solution as an ordered pair
(x,y) with no spaces, no solution, or infinitely many. 5x+4y=-34 and y=3x
a publisher reports that 26% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 100 found that 17% of the readers owned a laptop. determine the p-value of the test statistic. round your answer to four decimal places.
Rounded to four decimal places, the p-value is 0.0844.
To determine the p-value for this hypothesis test, we need to follow these steps:
Step 1: State the null and alternative hypotheses.
Null hypothesis: The percentage of readers who own a laptop is 26%.
Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.
Step 2: Determine the test statistic.
We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:
z = (p - p) / √(p(1-p) / n)
where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Using the given values, we have:
z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)
z = -1.72
Step 3: Determine the p-value.
Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.
Therefore, the p-value is the sum of the areas in both tails:
p-value = 0.0422 + 0.0422
p-value = 0.0844
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Chi needs to simplify the expression below. (1.25 -0.4)-7+4x3 Which operation should she perform first?
I need an answer quickly
Answer:
She should first perform the operation in the parentheses, you can reference the order of the operations based on PEMDAS.
Step-by-step explanation:
1. parentheses operations
2. multiply 4 x 3
3. add the value you get from the parentheses with -7
4. with that value add it to the product of 4 and 3
Hope that helped! :)
Answer:
Subtraction
Explanation:-
\(( 1.25 -0.4) \div7+ 4 \times 3\)
Using BODMAS Rule:-
BracketsOrdersDivisionMultiplicationAdditionSubtractionIn bracket, the operation subtraction should be performed first .
How do I simplify efficiently?
3(x-2)+7(x-2)
Answer:
10(x - 2)--------------------
We see x - 2 is the common factor in the given expression.
Simplify as:
(x - 2)(3 + 7) = (x - 2)(10) = 10(x - 2)Answer:
10x - 20
Step-by-step explanation:
distribute the 3 and the 7 into the parentheses, getting you to (3x - 6) + (7x - 14), from there you should be able to just combine the like terms getting you to 10x - 20.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick, please do all :D
Answer:
#1=d
#2=a
Step-by-step explanation:
i am not sure about #1 though good luck
A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the equation (x – 4)2 (y – 12)2 = 9. the equation indicates that the center of the window is feet from the ground and the distance the window spans is feet.
The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.
What is the general equation of a circle?The equation of a circle is given by the formula,
\((x-a)^{2} + (y -b)^{2} = r^{2}\)
where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.
According to the given equation, if we compare this equation with the general equation of the circle.
\((x-4)^{2} + (y-12)^{2} = 9\)
\((x-a)^{2} + (y -b)^{2} = r^{2}\)
\((x-4)^{2} + (y -9)^{2} = 3^{2}\)
On observing this equation we will get that the value of (a,b) is (4,12).
Thus, The equation indicates that the center of the window is 12 feet from the ground
window span = diameter of circle
window span = 2r
= 2 × 3 (radius = 3)
= 6
Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.
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Anyone please could help
I have a late assignment Please help!!
The interquartile range for the data set are
Andre
Interquartile Range: = 2
For Lin
Interquartile Range = 8
For Noah
Interquartile Range = 8
How to fill the tableFor Andre
Min: 25 the minimum number
Q1: 27 (the third position)
Median: 28 (the sixth position)
Q3: 29 (the 9th position)
Max: 30 (the maximum number)
Interquartile Range: Q3 - Q1 = 29 - 27 = 2
For Lin
Min: 20 the minimum number
Q1: 21 (the third position)
Median: 28 (the sixth position)
Q3: 29 (the 9th position)
Max: 32 (the maximum number)
Interquartile Range: Q3 - Q1 = 29 - 21 = 8
For Noah
Min: 13 the minimum number
Q1: 15 (the third position)
Median: 20 (the sixth position)
Q3: 23 (the 9th position)
Max: 25 (the maximum number)
Interquartile Range: Q3 - Q1 = 23 - 15 = 8
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what is the image point (-2,10) after reflecting over the x axis and dilating by 1/2
By definition:
- Reflection is a transformation in which an object is flipped.
- Dilation is a transformation in which the shape of the object does not change, but its size does.
- The Pre-Image is the object before the transformation and the Image is the object transformated.
- The rule for a reflection over the x-axis is the following:
\((x,y)\rightarrow\mleft(x,-y\mright)\)- The rule of a dilation centered at the origin, with the scale factor
\(\frac{1}{2}\)is the following:
\((x,y)\rightarrow(\frac{1}{2}x,\frac{1}{2}y)\)Knowing the above, you can conclude that rule for the transformation given in the exercise, is:
\((x,y)\rightarrow(\frac{1}{2}x,-\frac{1}{2}y)\)Knowing that the Pre-Image is:
\(\mleft(-2,10\mright)\)You get that the Image of that point is:
\(\begin{gathered} \mleft(-2,10\mright)\rightarrow(\frac{1}{2}(-2),-\frac{1}{2}(10)) \\ \\ (-2,10)\rightarrow(-1,-5) \end{gathered}\)The answer is:
\((-1,-5)\)The diagram below shows two circles which have the same centre O and radii 16 cm and
10 cm respectively. The two arcs AB and CD have the same sector angle 8 =1.5 radians.
В
Find the area of the shaded region.
Answer:PPlEASeee
Step-by-step explanation:
The water capacity of a tank is 1500 liters. In three hours, half of it is being discharged. Find the volume left after 4 hours of discharging. a. 1,000 liters b. 800 liters c. 500 liters
After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.
Initially, the tank has a water capacity of 1500 liters.
After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.
To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.
Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.
Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.
Therefore, the correct answer is c. 500 liters.
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true or false All rational numbers are integers. Prove your answer with an
example or explanation.
Answer:
true
Step-by-step explanation:
integers are just positive and negative numbers so that would include all rational numbers. (pretty sure anyway)
Answer:
True
Step-by-step explanation:
A rational number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
\(P=236000(1+0.04)^t\)
Step-by-step explanation:
Exponential equation: \(y=a(1+r)^x\)
where:
\(a\) is the initial value\(r\) is the growth rate (in decimal form)\(x\) is the independent variable\(y\) is the dependent variableGiven:
Population is increasing at a rate of 4% each yearPopulation in 2000 was 236000Let t = number of years since 2000Let P = populationTherefore,
\(a\) = 236000\(r\) = 4% = 4/100 = 0.04\(t\) is the independent variable\(P\) is the dependent variable\(\implies P=236000(1+0.04)^t\)
Note the rule
\(\\ \rm\rightarrowtail y=P(1+\dfrac{r}{100})^t\)
Now
P=236000Rate of change=r=4%Put it
\(\\ \rm\rightarrowtail y=236000(1+4/100)^t\)
\(\\ \rm\rightarrowtail y=236000(1+0.04)^t\)
I NEED HELP FAST I WILL GIVE ALL MY POINTS
WHAT IS 3 DIVIDED BY 1/2
PLS HELP!!!!!!!!!!!!!!!!!
Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet
longer than it is wide.
The equation to determine the length and width of the rug is
28 = w² + 12w
Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.
What is a rectangle?
Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
We are given a rectangular rug with an area of 28 square feet.
Also, the rug is 12 feet longer than it is wide.
So,
Let 'l' be the length of the rug and 'w' be the width of the rug
As given, Length is 12 feet longer than its width
Therefore, l = w + 12
We know Area of rectangle = Length * Width and area is given to be 28 square feet.
So,
⇒28 = (w + 12)w
⇒28 = w² + 12w
Hence, the equation to determine the length and width of the rug is
28 = w² + 12w.
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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.
Create an equation to determine the length and the width of the rug.
Describe in words the region of represented by the equation(s) or inequality. x=z
The equation x = z represents a line in three-dimensional space that passes through the origin and has a slope of 1.
The equation x = z represents a line in three-dimensional space. In this case, the line is a diagonal line that extends infinitely in both the positive and negative directions. It passes through the origin (0, 0, 0) and has a slope of 1.
To understand this visually, imagine a coordinate system with x, y, and z axes. The line x = z can be represented by points such as (1, 0, 1), (-2, 0, -2), (3, 0, 3), and so on. These points all lie on the line where the x and z coordinates are equal.
You can also think of this equation as saying that the x-coordinate of a point is always equal to its z-coordinate. So if you have a point like (2, 0, 2), the x and z coordinates are equal, satisfying the equation x = z.
In terms of the region represented by this equation, it's a straight line that extends infinitely in both the positive and negative directions in the x-z plane. All points on this line have the property that their x and z coordinates are equal.
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The equation x = z represents a line in a three-dimensional coordinate system.
The equation x = z represents a line in a three-dimensional coordinate system. In this equation, the x-coordinate is always equal to the z-coordinate. This means that for any point on the line, the x-coordinate and the z-coordinate have the same value.
To understand this visually, imagine a three-dimensional coordinate system with x, y, and z axes. When x = z, it means that the points on the line have the same x and z values, while the y-coordinate can take any value. This line extends infinitely in both the positive and negative directions along the x and z axes.
For example, if we take the point (1, 2, 1) on this line, we can see that the x-coordinate (1) is equal to the z-coordinate (1). Similarly, if we take the point (-2, 5, -2), the x-coordinate (-2) is equal to the z-coordinate (-2).
In conclusion, the equation x = z represents a line in a three-dimensional coordinate system where the x-coordinate is always equal to the z-coordinate.
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It takes Carrie 585858 minutes to get home. If Carrie leaves for home at 1{:}321:321, colon, 32, what time will she arrive?
Carrie will arrive at home at 4:02 PM on the same day she leaves.
To determine the time Carrie will arrive, we need to add the number of minutes it takes her to get home to her departure time.
Carrie leaves for home at 1:32 PM. To convert this time to minutes, we multiply the hours (1) by 60 and add the minutes (32). This gives us a total of 92 minutes.
Next, we add the 58,858 minutes it takes Carrie to get home to the departure time of 92 minutes:
92 minutes + 58,858 minutes = 58,950 minutes.
Now, we need to convert the total minutes back to hours and minutes. Since there are 60 minutes in an hour, we divide 58,950 by 60:
58,950 minutes ÷ 60 = 982.5 hours.
The decimal part represents the remaining minutes. To convert this decimal to minutes, we multiply it by 60:
0.5 (decimal part) × 60 = 30 minutes.
Therefore, Carrie will arrive at 982 hours and 30 minutes after her departure time.
To convert this back to a 12-hour clock format, we divide 982 by 12, which gives us a quotient of 81 with a remainder of 2. This means Carrie will arrive 81 days after her departure time, with an additional 2 hours and 30 minutes.
As for the exact time she will arrive on the day she leaves, we need to add the 2 hours and 30 minutes to her departure time:
1:32 PM + 2 hours and 30 minutes = 3:62 PM.
However, since we are using a 12-hour clock format, we need to adjust the time to the correct format:
3:62 PM can be rewritten as 4:02 PM.
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Market reearch firm ha hired operator who conduct telephone urvey. A computer
i ued to randomly dial a telephone number, and the operator ak the anwering peron
whether he ha time to anwer ome quetion. Let Y
= the number of call made until the
firt peron replie that he i willing to anwer the quetion. I thi a binomial e
xperiment?
Explain
The random variable Y does not have a binomial distribution, therefore this is not a binomial experiment
Here, a computer is used to randomly dial a telephone number
Then the operator asks the answering person whether she has time to answer some questions.
Y is the number of calls made until the first person replies that she is willing to answer the questions
There is no independent variable the affect the value of the Y. here the number of trial are not fixed, so there wont be any binomial distribution
Therefore, this is not a binomial experiment, because y does not have a binomial distribution
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please solve it
I need to submit this by tomorrow
Answer:
1
Step-by-step explanation:
\((3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1\)
5(2x-4) what is anwer
Answer:
10x-20
Step-by-step explanation:
Answer:
I believe your answer is 10x - 20
Good luck :)