Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.
Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].
The result of matrix multiplication, AB, will also be a 2x2 matrix.
To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.
The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:
(21) + (33) = 2+9 = 11
The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:
(22) + (34) = 4+12 = 16
The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:
(41) + (53) = 4+15 = 19
The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:
(4*2)
Step-by-step explanation:
The measure of angle X is three times as large as the complement of the angle. Which equation can be used to find the measure of angle X?
A
(x+3)+x=90(x+3)+x=90
B
3x+x=1803x+x=180
C
(x+3)+x=180(x+3)+x=180
D
3x+x=903x+x=
Answer:
Step-by-step explanation: 55
standard equation for hyperbola with vertices (-2, 1), (2, 1) and foci (-3, 1) (3,1)
Will give brainliest
Answer:y=(x+3)2−17
Step-by-step explanation: 3,11 5,15
wht is the answer ???
The equation to represent the height of a glass slab is y=11x+2.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
From the given table, we have (2, 24) and (4, 46).
Substitute (x₁, y₁)=(2, 24) and (x₂, y₂)=(4, 46) in m=(y₂-y₁)/(x₂-x₁)
= (46-24)/(4-2)
= 22/2
= 11
Substitute m=11 and (x, y)=(2, 24) in y=mx+c, we get
24=11(2)+c
c=2
Substitute m=11 and c=2 in y=mx+c, we get
y=11x+2
Therefore, the equation to represent the height of a glass slab is y=11x+2.
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The four approved methods of document destruction are
Answer:
1area
2 water
3 food
4 house
Answer:
shredding, incineration, pulping, and pulverization.
Step-by-step explanation:
Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.
Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.
Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.
Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.
help please!!!!!!!!!!!!!!!!!!!!1
Answer:
Not a function
Step-by-step explanation:
A function is when every input(x) has only one output (y). The input 1 has two outputs (0 and 1) so it is not a function.
3. At practice the team wants to know how fast Ryan can skate. He skates 10 laps around the
rink in 3 minutes and, later on in practice he skates 5 laps in 1 minute. What was his
average speed in laps per minute?
The average speed in laps per minute of Ryan is 2.5 laps per minute
How to determine the average speed in laps per minute?From the question, we have the following parameters that can be used in our computation:
He skates 10 laps around the rink in 3 minutes In practice he skates 5 laps in 1 minuteThe above can be expressed as
(x, y) = (1, 5) and (3, 10)
The average speed in laps per minute can be calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Rewrite as
Average speed = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 5) and (3, 10)
Substitute the known values in the above equation
So, we have the following equation
Average speed = (10 - 5)/(3 - 1)
Evaluate
Average speed = 2.5
Hence, the average speed is 2.5
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You are given 2 parallel lines on the coordinate plane. You are told to translate x + 3,y-2, rotate 180° clockwise about the origin, then reflect over the y-axis. After the transformations you will have what type of lines?
A Intersecting lines
B. The Same Line
C. Parallel Lines
Since matching angles are formed and the equal corners are congruent when a line joins two parallel lines, one of the choices isc=d.
Parallel lines are what?Geometry refers to parallel lines as beams, straight lines that never overlap. Parallel planes are those that never cross each other while occupying the same three-dimensional space. Curves which are equal with each other and keep a predetermined minimum separation from one another must not overlap or intersect. Parallel lines on a plane are those that always have the same distance between them. A parallel line cannot be crossed. Perpendicular lines are those that intersect directly at a 90 degree angle.
Here,
Given : vertical angles, A = d also represents a solution.
B+d=180 as a result of b+c=180 therefore
B+d=180 as a result of b+c=180 therefore Since a=d, c=d, and b+d=180, the answer is B,C,E.
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98 +23=
Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.
here, on solving company reduced the size of their percentage container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.
what is percentage ?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
The initial size was x.
Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.
90% of the original size is equal to 4.5 ounces,
hence the calculation we use to determine the original size x is:
0.9 x = 4.5 x
= 4.5 / 0. 9 x = 5
The bottle's initial capacity was 5 ounces.
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If you shift the cubic parent function, F(x)=x^3, down 9 units, what is the equation of the new function
Therefore the table values of which represents a linear function are table 2 and table 3
What is linear equation?A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.
Here,
The values shown in table 2 have same constant rate of change of 3 units.
where as,
The values shown in table 3 have same constant rate of change of 5 units.
Therefore the table values of which represents a linear function are table 2 and table 3
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Make 4 equal warehouses out of a fence 300 m long. What is the width and length of the sv part if we want them to be the largest possible areas
The width and the length that gives the largest possible areas are 75 meters by 37.5 meters
How to determine the width and the length that gives the largest possible areasFrom the question, we have the following parameters that can be used in our computation:
Number of warehouses = 4
Perimeter of fence = 300 meters
Represent the width with x and the length with y
So, we have the following equations
Area = 4xy
Perimeter = 2(4x + y)
Substitute the known values in the above equation, so, we have the following representation
2(4x + y) = 300
Divide both sides by 2
2x + y = 150
Make y the subject
y = 150 - 2x
Substitute y = 150 - 2x in Area = 4xy
A = 4x(150 - 2x)
This gives
A = 600x - 8x²
Differentiate and set to 0
600 - 16x = 0
So, we have
16x = 600
Divide by 16
x = 37.5
Recall that
y = 150 - 2x
So, we have
y = 150 - 2 x 37.5
Evaluate
y = 75
Hence, the dimensions are 75 meters by 37.5 meters
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A rectangle has a length of
2,000 cm and a width of 23 cm.
What is the area?
What is the perimeter?
Answer:
Area= 46,000
Permiter= 4,600
Step-by-step explanation:
The formula to find the area of a rectangle is Length(L) times Width(W).
So 2,000(L) times 23 (W)= 46,000.
The formula for perimeter is 2(l+w).
So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.
Hope that helped, have a great day!!
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}
1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.
2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.
3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.
4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.
5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.
6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.
What is a function?It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.
On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.
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If the probability of s1 = .6 and the probability of F = .40 what is the value at node 4.
Group of answer choices
320
280
310
260
200
If the probability of s1 = .6 the value above node degree 4 will be 320, as determined by the solution.
What does a node's degree mean?The area of mathematics known as probability deals with numerical descriptions about how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:S1 probability = 0.6
F's likelihood is 0.40.
If the probability of S1 is given a value of 0.6, then
Probability of S2 then equals 0.4.
Using the table equation's payoff values as an exception.
EV=Σ
Each decision's expected value is calculated.
EV(Node 8) = 0.6 * 100 + 0.4 * 300
= 180
EV(Node 9) = 0.6 * 400 + 0.4 * 200= 320
We chose the best value for node 4 from nodes 8 and 9.
The ideal option for node 9 is the line complicated branch with EV(node 8) = 180.
The ideal anticipated value is determined to be 320.
Node 4's EV is 320.
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Ryan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6300 feet.
Ryan initially measures an angle of elevation of 15 to the plane at point A. At some
later time, he measures an angle of elevation of 31 to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
If Ryan spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The distance the plane traveled from point A to point B is: 13,027ft .
How to find the distance?Constant altitude =6300 feet
Angle of elevation =15 to the plane at point A
An angle of elevation =31 to the plane at point B.
So,
Tan 15° = 6300/ON
ON =23,511.92
Tan 31° =6300/OB
OB = 10,484.96
So,
AB =23,511.92 - 10,484.06
AB = 13,026.96
AB = 13,027ft (Approximately)
Therefore the distance is 13,027ft.
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Elaina bought 4.6 pounds of sliced ham at a price of $6.15 per pound. How much did she spend in total? quick
Answer:
$28.29
Step-by-step explanation:
1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29
Are The Numbers 16,64,18 and 72 In Proportion
Answer: Yes.
Step-by-step explanation: They are in 1:4::1:4
Hope this helps
Answer:
Yes
Step-by-step explanation:
Are The Numbers 16,64,18 and 72 In Proportion?
A proportion is an equation in which two ratios are set equal to each other16 : 64 = 18 : 72
0.25 = 0.25
or
1/4 = 1/4
so your answer is yes
a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts
Answer: 5 Hours
Step-by-step explanation:
Divide 6600 by the amount per 1.5 hours.
6600 / 1980 = 3.333
Multiply the answer by the 1.5 hours.
1.5 x 3.333 = 5
find an equation for the line that passes through the points (-6,-3) and (4,5).
The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.
How to determine the equation of the line from two points
In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - y-InterceptThe slope of the line can be determined by secant line formula:
m = Δy / Δx
Where:
Δx - Change in independent variable.Δy - Change in dependent variable.First, determine the slope of the line:
m = [5 - (- 3)] / [4 - (- 6)]
m = 8 / 10
m = 4 / 5
Second, determine the intercept of the line:
b = y - m · x
b = 5 - (4 / 5) · 4
b = 5 - 5
b = 0
Third, write the equation of the line:
y = (4 / 5) · x
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A cylindrical tank has a diameter of 30m and height 20m.
a) Find its volume in m³, correct to two decimal places.
b) What is the capacity of the tank in litres?
Step-by-step explanation:
d = 30m, so r = 15m
h = 20m
We know,
V = πr^2h= (22×15×15×20)/7 [Taking π = 22/7]
= 14142.86m^3
= 14142875.14 litres
area of a parallelogram help wanted ty
The area of the parallelogram is 72 square units. Option B
How to determine the area of the parallelogramThe formula for calculating the area of a parallelogram is expressed as;
A = bh
Given that;
A is the area of the parallelogramb is the base of the parallelogramh is the height of the parallelogramFrom the information given, we have that;
The base of the parallelogram = x + yThe height of the parallelogram = hNow, substitute the values
x + y = 8 + 4
add the values
x + y = base = 12 units
h = 6 units
Now, substitute the values into the formula, we get;
Area, A = 12(6)
multiply the values
Area, A = 72 square units
Hence, the value is 72 square units
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Through (-2,-1) and perpendicular to the graph of F(x) - 1/5x + 1 ( function notation)
The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.
What is the equation of line that passes through the given point and is perpendicular to f(x) = (-1/5)x + 1?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the graph
f(x) = (-1/5)x + 1
Using the slope intercept, slope m is -1/5
The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.
Slope of perpendicular line = -1 / (-1/5)
Slope of perpendicular line = 5
Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - (-1) ) = 5( x - (-2) )
( y + 1 ) = 5( x + 2 )
y + 1 = 5x + 10
y = 5x + 10 - 1
y = 5x + 9
f(x) = 5x + 9
Therefore, the equation of the perpendicular line is f(x) = 5x + 9.
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determine if each liners function is a direct variation. If it is state the constant of variation.
The liners function are not direct variation
What is a direct variation?The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation.
For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation
If b is directly proportional to a, then k is the constant of variation and the value of k = b/a for all value of b and a
In the problem, the variables are compared as follows
feet = k * sec
k = feet / sec
For the first values, k = 33 / 3 = 11
For the second values, k = 36 / 6 = 6
since 11 ≠ 6 the function is not a direct variation
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If
f
(
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x
−
1
x−1?
Answer:
If
f
(
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
Does the table below represent a proportional relationship?
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)
What is a proportional relationship?Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.
The equation that is used to represent a proportional relationship is:
y = kx
Where:
k = constant of proportionality
Value of k when x is 1:
3 = k
Value of k when x is 2:
6 = 2k
k = 6 / 2
k = 3
Value of k when x is 3:
9 = 3k
k = 9 / 3
k = 3
Value of k when x is 4:
12 = 4k
k = 12 / 4
k = 3
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is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false
Answer:
True, 50 tens times hundreds equal 40 tens times 5 hundreds
Step-by-step explanation:
50 tens times 4 hundreds equals to 40 ten times 5
hundreds because if you multiply 50 by 4 hundreds
you'll get 20,000 and if you multiply 40 tens by
hundred it will still give you 20,000
Therefore:
50 × 400 = 40 × 500
20,000 = 20,000
Your parents allow you to borrow a car to get to your part-time job, but you have to pay for a tank of gas each month. Gasoline costs $2.76/gallon and the tank takes 15 gallons. You have 2 coworkers who are each willing to pay for a quarter of a tank each month to carpool with you to work. How much do you save each month?
$16.46
$20.70
$15.91
$18.55
16. Find the length of x.
Answer: 4.8
Step-by-step explanation: By using the intersecting chords theorem, we know that 10 * x = 6 * 8
This simplifies to 10x = 48
After dividing both sides by 10 we get x = 4.8
Write the expression as a number in scientific notation.
the quantity 4.2 times ten to the fifth power end quantity times the quantity 1.5 times ten to the negative eighth power end quantity all divided by the quantity 2.5 times ten to the negative fourth power end quantity
2.52 × 10−1
2.52 × 101
3.2 × 10−7
3.2 × 107
On solving the provided question, we can say that - the answer of the following equation is = [tex](4.2 X 10^5)(1.5 X 10^3) / 2.5 X 10^4[/tex] = 25.2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
[tex](4.2 X 10^5)(1.5 X 10^3) / 2.5 X 10^4[/tex]
630000/25000
25.2
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12 divided by four
plus 2 x 6+4
Answer:
19
Step-by-step explanation:
12 divided by four plus 2 x 6+4
assuming that the question is:
12 : 4 + 2 x 6 + 4 =
3 + 12 + 4 = (remember PEMDAS)
19