![Find The Product. [5 5 [-4 9 -2 3] 8 7]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/KyDuZEmonQL39dgrACbCAz3F38vNCB6h.png)
Answers
The product of the given matrix is [tex]\left[\begin{array}{ccc}20&80\\32&3\end{array}\right][/tex]
What is a matrix?
A rectangular matrix is a set of numbers arranged into a predetermined number of rows and columns. The rows of a matrix are formed when the elements are placed in a horizontal matrix. The columns of a matrix are formed by the elements when they are stacked in the matrix vertically.
Here, we have given a matrix that is
A = [tex]\left[\begin{array}{ccc}5&5\\-2&3\end{array}\right][/tex] B = [tex]\left[\begin{array}{ccc}-4&9\\8&7\end{array}\right][/tex]
We have to find the product of this matrix
[tex]\left[\begin{array}{ccc}5&5\\-2&3\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4&9\\8&7\end{array}\right][/tex]
First, we multiply the first row of matrix A with the first column of matrix B then continue in this manner, we get
[tex]\left[\begin{array}{ccc}20&80\\32&3\end{array}\right][/tex]
Hence, the product of the given matrix is [tex]\left[\begin{array}{ccc}20&80\\32&3\end{array}\right][/tex]
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Related Questions
A bag of candy has several colors of candy. The ratio of red candies to the other colors of the candies is 2:5. If the bag has 350 candies in it, how many red candies are in the bag?
Answers
The number of red candies in the bag is 100 when the ratio of red candies to the other colors of the candies is 2:5 and the bag has 350 candies in it.
What is ratio?
The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent.
A ratio compares two numbers by division. A survey of 20 respondents revealed that 13 of them preferred cake to ice cream and 7 preferred ice cream to cake.
It is given that bag of candies has several colored candies. Further, the ratio of red candies to the other colors is 2:5.
Total number of candies in the bag = 350
Number of red candies = [tex]\frac{2}{7}[/tex] × 350 = 2×50 = 100
Number of other colored candies = 350 - 100 = 250
Hence, the number of red candies in the bag is 100.
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Order the sides of DEF in order from least to greatest
Answers
The sides of DEF in order from least to greatest will be x + 6, (5x - 8) and (9x + 2).
How to calculate the angle?The total angles that can be found in a triangle is 180°.
Therefore, the angles will be illustrated thus:
x + 6 + (5x - 8) + (9x + 2) = 180°
x + 6 + 5x - 8 + 9x + 2 = 180°
15x = 180°
Divide
x = 180° / 15.
x = 12°
Therefore,
x + 6 = 12 + 6 = 18°
(5x - 8) = 5(12) + 8
= 60 + 8
= 68°
(9x + 2) = 9(12) + 2
= 108 + 2
= 110°
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Order the following numbers from least to greatest.
Put the least value on the left.
Answers
Answer:
-5.2,-4.75,-9/2
Step-by-step explanation:
Answer:-5.2 -4.75 -9/2
Step-by-step explanation:
I am in need for answers please!
Answers
The y-intercept is y = 10, and that is the initial height of the flower in inches.
And the rate of change between n = 1 and n = 5 is:
R = 0.21
What is the y-intercept?For any function y = f(x), the y-intercept is the value that y takes when we evaluate in x = 0.
In this case, we have the exponential function:
g(n) = 10*(1.02)^n
Evaluating in n = 0 we get:
g(0) = 10*(1.02)^0 = 10*1 = 10
The y-intercept is y = 10, and it means that the initial height of the flower is 10 inches.
Now we want to get the average rate of change on the interval [1, 5].
Remember that for a function f(x) the average rate of change on an interval [a, b] is:
R= [ f(b) - f(a)]/(b - a)
In this case we will have:
R = [ g(5) - g(1)]/(5 - 1) = [g(5) - g(1)]/4
Where:
g(5) = 10*(1.02)^5 =11.041
g(1) = 10*(1.02) = 10.200
Replacing that:
R = [11.041 - 10.200]/4 = 0.21
This means that the plant increases about 0.21 inches per day on these 4 days.
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8 cows can graze a field in 28 days. how long would 14 cows take to graze the same field?
Answers
If 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that, 8 cows can graze a field in 28 days.
Suppose x is the number of days required to graze the same field.
A proportionality relationship is one that has an inverse proportion. When two quantities are inversely related when one quantity rises, the other falls. The number of hours needed to construct a wall serves as an illustration of inverse proportion. By the inverse proportional relationship,
6:x :: 14:28
x=(28×6) / 14
x=2 × 6
x=12 days
Thus, if 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
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What is the answer to this question
Answers
She bought 13 books in $58.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Let b represent the number of books.
So, the equation will be
5b - 7 = 58
Now, add 7 to both sides of the equation
5b = 65.
b = 13.
Thus, she bought 13 books at 5 dollars a piece.
After she gets a 7 dollar discount off of 65 dollars, so she paid a total of 58 dollars after the discount.
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Janna is training for a triathlon and wants to eat a diet with a ratio of carbohydrates to protein to fat that is 5:3:2.
What percent of her diet is the protein?
Answers
Answer:
Step-by-step explanation:
33 percent of her diet is the protein
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
Answers
The option that must be true of triangle RST include:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
How to illustrate the triangle?From the information illustrated in the triangle, R > S + T. It should be noted that based on the information, one angle is more than the sum of the other two angles.
Sum of angles in a triangle = 180°
If an angle is 90°, the sum of the other two angles will be 90°.
Therefore, if R = 120°, it so greater than 90°. The correct options are illustrated above.
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Answer:
A, B, D and E
see picture
Step-by-step explanation:
92+78x96838-52/2? please help quick!
Answers
for breakfast you eat a bowl of oatmeal and 1/4 cup of added raisins, for lunch, a turkey sandwich and a glass of fresh orange juice. how many servings of fruit and cereal have you had?
Answers
For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.
For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.
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What is a counterexample for the conjecture? if the area of a rectangle is 80 square units, the perimeter must be greater than 35. 9 units.
Answers
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
What is a conjecture?
A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.
The conjecture for the given question is:
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
Greater than → Lesser than or equal to
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Negative ten is no less than two times a number plus 14
Answers
The expression is -10 > 2x+ 14.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Negative ten is no less than two times a number plus 14
let the number x
so, two times a number plus 14
= 2x+ 14
and, Negative ten is no less than two times a number plus 14
-10 > 2x+ 14
hence, the expression is -10 > 2x+ 14.
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what are the solutions for IxI = 64
Answers
Answer: -64 and 64
Step-by-step explanation:
ABC right angled triangle In B whose AB= 6cm BC= 8cm find the hypothenuse AC
Answers
Answer:
10
Step-by-step explanation:
what is the slope of the line that passes through the pair of points (3,8) and (8,5)
Answers
Answer:
The slope is -3/5=-0.6
Step-by-step explanation:
Slope: (5-8)/(8-3)= -3/5=-0.6
Answer:
[tex]m=-\frac{3}{5}[/tex]
Step-by-step explanation:
Step 1: Slope
Slope = m[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]Step 2: Set up equation and solve for m
y₂ = 5y₁ = 8x₂ = 8x₁ = 3[tex]m=\frac{5-8}{8-3}=\frac{-3}{5}[/tex]HELPPP so the man bought a tv worth $1,700, and then each week he continued to spend $700 weekly WHAT IS THE EXPRESSION???? HELP (variable is X)
HELP
Answers
Answer: 700x+1700
This represents the total amount spent over the x weeks that have gone by.
===========================================
Explanation:
x = number of weeks
700x = amount spent over those x weeks ($700 per week)
700x+1700 = total amount spent when adding on the $1700 tv.
------
An example:
Let's say x = 10 weeks have elapsed. He spends $700 a week, so 700x = 700*10 = 7000 dollars have been spent so far if we ignore the tv. Then add on the $1700 tv cost to get 7000+1700 = 8700 dollars total spent.
Then note how 700x+1700 = 700*10+1700 = 8700 matches what we got earlier.
I recommend trying out other values of x to get a better idea of what's going on.
y=5x+2
4x−y=0
Is (2,12)(2,12)left parenthesis, 2, comma, 12, right parenthesis a solution of the system?
Answers
The solution to the given system of linear equations is x = -2 and y = -8. That is, (-2, -8).
Solving system of linear equationsFrom the question, we are to determine the solution to the given system of linear equations.
The given system of linear equations is
y = 5x + 2 ---------- (1)
4x - y = 0 ---------- (2)
Substitute equation (1) into equation (2)
4x - y = 0
4x - (5x + 2) = 0
4x - 5x -2 = 0
-x -2 = 0
-2 = x
x = -2
Substitute the value of x into equation (1)
y = 5x+ 2
y = 5(-2) + 2
y = -10 + 2
y = -8
Hence, the solution is x = -2 and y = -8
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1. Margo can jump 58 times in 1 minute. About how many times can Margo jump in
5 minutes? (Show your work. Write your final answer on the line.)
2. Write the decimal number that the shaded portion of the model represents on the line.
Answers
Answer: 290
Step-by-step explanation:
58 x 5 = 290
Margo jumps 290 times in five minutes
(figure: capital and labor xii) which of the following statements is (are) true? a graph titled graph (a) plots labor (l) along the horizontal axis and capital (k) along the vertical axis. the horizontal axis values range from 0 to 28 with intervals of 4 units and the vertical axis values range from 0 to 20 with intervals of 4 units. two concave up decreasing curves q equals 20 and q equals 50 originate at (4, 12) (10, 19) and end at (17, 1) (25, 7). point (10, 4) is marked on curve q equals 20 and (20, 8) is marked on curve q equals 50. a dashed line from this point extends to the respective coordinate on the horizontal axis. all data are approximate. a graph titled graph (b) plots labor (l) along the horizontal axis and capital (k) along the vertical axis. the horizontal axis values range from 0 to 28 with intervals of 4 units and the vertical axis values range from 0 to 20 with intervals of 4 units. two concave up decreasing curves q equals 35 and q minus 70 originate at (4, 13) (13, 19) and end at (14, 3) (23, 9). point (8, 6) is marked on curve q equals 20 and (17, 12) is marked on curve q equals 50. a dashed line from this point extends to the respective coordinate on the vertical axis. i. panel a illustrates constant returns to scale. ii. panel b illustrates decreasing returns to scale. iii. panel a illustrates increasing returns to scale iv. panel b illustrates constant returns to scale. iii and iv i and iv i and iii ii and iii
Answers
Option (A) is the correct answer: Panel a illustrate Increasing Return to Scale and panel b illustrate Constant Return to Scale.
Return to Scale:
It is the Variation or change in productivity that is the outcome from a proportionate increase of all the input.
Increasing Return to Scale:
An increasing return to scale occurs when the output increase by a larger proportion than the increase in inputs during the production process. For Example: if input is increased by 3 times but output increases by 3.75 times, then the firm or economy has experienced an increasing return to scale. This increase is due to many reasons like division external economies of scale.
Constant Return of Scale:
Constant Return of Scale refers to the production situation in which output increases exactly in the same proportion in which factors of production are increased. In simple words, if factors of production are doubled output will also be doubled. In this case, internal and external economies are exactly equal to internal and external diseconomies. This situation arises when after reaching a certain level of production, economies of scale are balanced by diseconomies of scale. For Example: A car wash in which one car wash takes 30 minutes. If there is one wash space and two workers running two 8 hours shifts total product would be 32.
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the scatterplot above shows the number of registered voters, x, and the number of people who voted in the last election, y, for seven districts in a town. a line of best fit for the data is also shown. which of the following could be the equation of the line of best fit?
Answers
The line of best fit for the data presented in the scatterplot is y = 0.5x. (Option B)
A line of best fit represents a straight line that is the best approximation of the given set of data used to examine the nature of the relation between two variables. It is an educated guess about where a linear equation might fall in a set of data plotted on a scatter plot. The slope-intercept form of a linear equation is given by y = mx + b where m is the slope of the line and b is the y intercept of the graph. For any two points (x1, y1) and (x2, y2), the slope is given by:
m = (y2-y1)/(x2-x1)
Choosing two points from the line say (180, 90) and (220,110),
m = (110 – 90)/(220 – 180) = 20/40 = 0.5
Hence, y = 0.5x + b
Substituting a point from the graph into the equation say (240, 120)
120 = 0.5(240) + b
120 = 120 + b
b = 0
Hence, the equation is y = 0.5x
Note: The question is missing the scatterplot (which is attached) and options which are A. y = -0.5x, B. y = 0.5x, C. y = -2x, D. y = 2x.
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HELP ASPPP SHOW YOUR WORK PLEASE DO 6 AND 7 IF YOU LIKE
Answers
Answer: 7. 0 cause there is not a number next to the 3
-2 is the slope you distribute the -2 by the parenthese
Step-by-step explanation:
True or false :If an integer is negative, its absolute value is also its additive inverse.
Answers
The statement 'If an integer is negative, its absolute value is also its additive inverse.' is True.
In this question, we have been given a statement 'If an integer is negative, its absolute value is also its additive inverse.'
We know that for any non zero real number 'm', the additive inverse is '-m'
as m + (-m) = 0
We know that the absolute value of any non-zero real number is always positive.
Consider a negative integer -p.
The absolute value of -p is |-p| = p
We can observe that -p + p = 0
-p + |-p| = 0
Therefore, the statement 'If an integer is negative, its absolute value is also its additive inverse.' is True.
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Of all the closed right circular cylindrical cans of volume 128πcm
3, find the dimensions of the can which has minimum surface area.
Answers
The can's minimum surface area should have a height of 8 cm and a radius of 4 cm.
Given:
The volume of closed right circular cylindrical cans = 128π cm³
As we know the volume of a cylinder = πr²h
By equating;
πr²h = 128π
h = 128/r²
To get the dimensions of a can with minimum surface area;
S = 2πrh + 2πr
Put h = 128/r²;
Therefore, S(r) = 256π/r + 2πr²
S'(r) = -256π/r² + 4πr
S''(r) = -(2*256π)/r³ + 4π
Now, for S(r) = 0;
r = 4cm
for S''(4) > 0 at r = 4 is minimum point.
Hence,
h = 128π/(π*4*4)
h = 8cm
Therefore, the minimum surface area of the can should have a radius of 4 cm and a height of 8 cm.
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10-6x + 9x = x+2 solving variables
Answers
The required value of the variable x is - 4
What are variables ?A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.
The given equation is :
10-6x + 9x = x+2
On solving this equation we get :
10 + 3x = x + 2
Subtract - 3x on both sides and we will get
10 = - 2 x + 2
Subtract 2 on both sides
we get
8 = -2x
On dividing both sides of the equation by 2 we get
x = - 4
Thus the required value of the variable x is - 4
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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -1/2x + 6. What is the point slope form of the equation for this line?
Answers
The point- slope of equation is y- 8 = -1/2 ( x+ 3).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
line that passes through point (-3, 8)
and, line is y= -1/2 x + 6
From above equation the slope of line is -1/2
Now, the point slope form of line
y- [tex]y_1[/tex] = m (x- [tex]x_1[/tex])
y- 8 = -1/2 ( x - (-3))
y- 8 = -1/2 ( x+ 3)
Hence, the point- slope of equation is y- 8 = -1/2 ( x+ 3).
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plsss solve these two questions I stuck hello meeeeeeee
Answers
Answer:
a) 0.566 b)8.62
Step-by-step explanation:
0.56565656...
4th number after decimal is 6, which is greater than 5. the value of 3rd number after dp goes up by 1
therefore 0.566
7×12%=0.84
7+0.84=7.84
7.84×10%=0.784
7.84+0.784=8.62
If Chan throws 20 darts that hit the dart board, how many should land in an odd number?
F. 20
G. 5
H.10
J.12
J.12 is incorrect … PLEASE HELP
Answers
Answer: The Answer Would be H because in the 20 darts there are 10 odd numbers 1,3,5,7,9,11,13,15,17,19
Step-by-step explanation: :)
please help me I will give you brainiest please
+ 9 = 13
3 = 12
+ 5 − 9 = 0
2 + 5 = 17
5 − 3 = 17
− 3 = 1
7x = 35
[tex]\frac{4x}{4} =4[/tex]
3 + 4 = 15
8 + − 5 = 7
Answers
Answer:
Step-by-step explanation:
1 ) + 9 = 13
+ 9 ≠ 13
False
2 ) 3 = 12
3 ≠ 12
False
3 ) + 5 − 9 = 0
-4 ≠ 0
False
4 ) 2 + 5 = 17
7 ≠ 17
False
5 ) 5 − 3 = 17
2 ≠ 17
False
6 ) − 3 = 1
− 3 ≠ 1
False
7 ) 7x = 35
a ) Divide both sides by 7...
[tex]\frac{7x}{7} = \frac{7}{35}[/tex]
[tex]x = 5[/tex]
8 ) [tex]\frac{4x}{4}=\ 4[/tex]
a ) Multiply both sides by 4...
[tex]\frac{4x}{4}=\ 4[/tex]
[tex]\frac{4x}{4}[/tex] × [tex](4)=(4)[/tex] × [tex](4)[/tex]
[tex]4x=16[/tex]
b ) Divide both sides by 4...
[tex]\frac{4x}{4}= \frac{16}{4}[/tex]
[tex]x=4[/tex]
9 ) 3 + 4 = 15
7 ≠ 15
False
10 ) 8 + − 5 = 7
3 ≠ 7
False
Hope this helps! :)
Keystone Question: A lube gun dispenses the same amount of oil each time
it is used. The equation below shows the relationship between the number
of times (x) that oil is dispensed and the number of gallons of oil (y)
remaining in the gun. y = (-0.03125)x + 6 How many gallons of oil are in
the gun when it is full?
Answers
The amount of gallons of oil that are in the gun when it is full is 6 gallons , the correct option is (c) .
In the question ,
it is given that
A lube gun dispenses the same amount of oil each time , and
the equation is y = (-0.03125)x + 6
where , x is the number of times the oil is dispensed and
y is the number of gallons of oil remaining in the gun ,
when the gun is full , the number of times oil dispensed will be zero .
that is x = 0 ,
Substituting x = 0 in the given equation ,
we get ,
y = (-0.03125)(0) + 6
y = 0 + 6
y = 6
Therefore , The amount of gallons of oil that are in the gun when it is full is 6 gallons .
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Jordan answered 69 questions on his test correctly. He answered 92% of the test questions correctly. How many questions were on the test?
Answers
92% = 69 questions
100% = 75 questions
The total number of questions on the test is 75 questions.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Total number of answers answered correctly = 69
The percentage of the test questions answered correctly = 92%
This means,
92% = 69
The total number of questions in percentage = 100%
Now,
92% = 69
Multiplying 100/92 on both sides.
100% = 100/92 x 69
100% = 75
Thus,
The total number of questions on the test is 75 questions.
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