The given statement is false.
What is matrix?
The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them. The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively. A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.
the columns of the change-of-coordinates matrix p c b are b-coordinate vectors of the vector
The columns of the matrix [tex]p{C\leftarrow B}[/tex]are the C-coordinates vectors of B.
Hence the given statement is false.
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Which expression represents the volume of the prism in terms of w, the width of the base? 5w2 cubic units 6w2 cubic units 5w3 cubic units 6w3 cubic units
The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:
6w³ cubic units.
How to obtain the volume of a rectangular prism?A rectangular prism is composed by three dimensions, given as follows:
Length l.Width w.Height h.The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:
V = lwh.
From the image given at the end of the answer, the dimensions of the prism are given as follows:
Width w.Length l = 2w.Height h = 3w.Hence the expression that gives the volume of the rectangular prism is given as follows:
V = w x 2w x 3w = 6w³ cubic units.
Missing InformationThe prism is given by the image shown at the end of the answer.
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John plans a diet to gain 2 pounds per week. After 20 weeks he weighs a total of 200 pounds.
a). Assuming a linear relationship write an equation to model this situation.
b). Using the equation that you wrote, what will be his total weight after 30 weeks?
an equation to model this situation is 200 = x+ 2 *t and 220 pounds is his total weight after 30 weeks
Describe equation.A mathematical formula known as an equation is one that uses the sign = to connect two expressions in order to express their equality.
Suppose, x beinitial weight of John .
According to question,
weight gained 1 week = 2 pounds
no. of weeks = 20=t
Final weight of John = 200 pounds
a) therefore, equation is -
200 = x+ 2 *t ---------(1)
b) no. of weeks = 20=t
From eq(1)
x = 160 pounds= intial weight
So,
y = 160+ 2 *t
y = 160 + 2X 30
y= 160+ 60
y = 220 pounds
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Write an equation of the line that passes through (−5, −2) and is parallel to y=2/3x+1.
Answer:
[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]
Step-by-step explanation:
when a line is parallel the slope is the same for both
y=mx+b is slope intercept form where m is slope and b is intercept
we know the slope is 2/3 so to find b we just fill it in with coordinates
-2=2/3(-5)+b
-2=-10/3+b
+10/3 +10/3
4/3=b
y=2/3x+4/3
hopes this helps please mark brainliest
find the length and width (with ) of the rectangle with perimeter that has maximum area, and then find the maximum area.
Length of the rectangle is 41m, width of the rectangle is 41m and maximum area of the rectangle is 1681 [tex]m^{2}[/tex].
Let l and w denote the length and width of the rectangle.
Its perimeter is 2(l + w) which is given 164.
∴ l + w = [tex]\frac{164}{2}[/tex] = 82 ---------------- (1)
Now area A of the rectangle is given by
A = lw.
from equation (1),
A = l(82 - l)
A = 82l - [tex]l^{2}[/tex]
⇒ A(l) = 82l - [tex]l^{2}[/tex]--------------------- (2)
We are required to maximize A.
We know that, for Amax,
A'(l) = 0 and A''(l) < 0
equation (2)⇒
A'(l) = 0
82 - 2l = 0
l = [tex]\frac{82}{2}[/tex]
l = 41.
Further, A''(l) = -2 < 0 ∀ l
Thus l = 41 gives Amax.
Hence the required dimension of the rectangle for maximum area are
l = 41 m
and w = 82 - l
= 82 - 41
w = 41 m
Therefore
A = lw = (41)(41)
A = 1681 [tex]m^{2}[/tex]
Therefore the maximum area of rectangle is 1681 [tex]m^{2}[/tex].
Given question is incomplete. Here I consider perimeter = 164m.
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Leslie spent $43. 50 to purchase a combination of drinks, sandwiches, and chips for herself and her friends. A drink costs $1. 75, a sandwich costs $6. 25, and chips cost $1. 50. Identify the linear equation that represents this situation.
The linear equation that represents the given situation is 1.75x + 6.25y + 1.50z = 43.50
Total amount that she spent = $43.50
The cost of drinks = $1.75
The cost of sandwich = $6.25
The cost of chips = $1.50
The linear equation is defined as the equation in which the highest power of the variable is 1
The linear equation the represents this situation is
1.75x + 6.25y + 1.50z = 43.50
Where the number of drinks is x, number of sandwiches is y and the number of chips is z
Hence, the linear equation is 1.75x + 6.25y + 1.50z = 43.50
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m angle KHG= (4x+6) and m angle HGW= (6x-16) and m angle NGX=(y+9)
5. Find the value of x
6. Find the value of y
7. m angle KHG=
8. m angle HGW=
9. m angle NGX=
Question 5
Using the alternate interior angles theorem,
[tex]4x+6=6x-16\\\\6=2x-16\\\\22=2x\\\\x=11[/tex]
Question 6
Using the corresponding angles theorem,
[tex]4x+6=y+9\\\\4(11)+6=y+9\\\\50=y+9\\\\y=41[/tex]
Question 7
[tex]m\angle KHG=4(11)+6=50^{\circ}[/tex]
Question 8
[tex]m\angle HGW=6(11)-16=50^{\circ}[/tex]
Question 9
[tex]m\angle NGX=41+9=50^{\circ}[/tex]
a marketing class polled 270 people at a shopping center to determine how many read the daily news and how many read the weekly gazette. they found the following: 124 read the daily news. 33 read both. 19 read neither. How many read the Weekly Gazette?
128 were Daily News readers. 19 read neither while 35 read both. Weekly Gazette A marketing class conducted a survey of 270 shoppers at a mall to find out how many of them read the Weekly Gazette and how many the Daily News.
What is News readers?
150 attendees were surveyed by a marketing class to find out how many read the Weekly Journal and how many the National News. In this section, word problems will be solved using Venn diagrams. The areas of a Venn diagram that indicate quantities as opposed to will have numbers in them. Confidence interval for difference of two formula You may have read statements like the ones below in newspapers, for instance. law in numerous nations.
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Write the equation of the line that passes through (4,2) and is parallel to y =3x + 1 in point-slope form
Answer:
y=3x-10
Step-by-step explanation:
y=mx+b
2=3(4)+b
2=12+b
b=-10
y=3x-10
Show me how to write a phrase as an expression then solve when x equals 5 and Y equals 26 more than the product of 8 and a number is X
The expression used to represent the given phrase is given by x =5 and
y = 26 + 8x and value of the given expression when x =5 is equal to
y = 66.
As given in the question,
Given phrase is:
x equal 5
y equals 26 more than the product of 8 and a number x
Required expression to represent the given phrase is:
x = 5
y = 26 + 8x
Value of the expression y = 26 + 8x when x = 5 is given by :
y = 26 + 8( 5 )
⇒ y = 26 + 40
⇒ y = 66
Therefore, the required expression for the given phrase is x =5 and
y=26 +8x , the value of the expression y = 66 when x = 5.
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Given f(x)=3x+4f(x)=3x+4, find f(4)f(4).
Answer:
f(x) = 3x + 4
f(4) = 3(4) + 4 = 12 + 4 = 16
evaluate the line integral by the two following methods. line integral xy dx x2 dy c is counterclockwise around the rectangle with vertices (0, 0), (3, 0), (3, 4), (0, 4). (a) directly (b) using green's theorem
main answer: line integral by the two following methods [tex]xy dx x^{2} dy c[/tex]
supporting answer: A line integral in Calculus is an integral in which the function to be integrated is evaluated along a curve. A path integral, curve integral, or curvilinear integral are all names for a line integral. This article will go over the definition of the line integral, formulas, examples, and how to use line integrals in real life
body of the answer : given
line integral xy dx x^{2} dy c
c is counter clockwise
according to greens theorem
∫ₐpdx+qdy
∫∫ₓdq/dx-dp/dq
we evaluate the 1st line integral from (0,0) to (0,4)
an equation of straight line joining (0,0) and (0,4)in the xy plane is y=4
l₁=∫⁰₄ x(4)dx+ x²(4)=∫⁰₄ 4xdx+4x²
=[4.x²/2+4x³/3]₄⁰
=4(16)/2+4(64)/3
=32+256/3
=117
we evalute second integral from (0,4)to (3,0)
an equation of straight line joining (0,4)and(3,0)in xy plain is x=3 dx=0
the second line integral now becomes
l₂=∫³₀ (3)y(0)+3²dy
=∫³₀ 9dy
=27
we now evaluate the third line integral from (3,0) to (3,4)
an equation of straight line joining (3,0)and (3,4) in xy plain is y=4,dy=0
the third integral now becomes,
l₃=∫³₃ x(0)dx+ x²(4)
=∫³₃ 4x²
=4*9=36
36-36=0
now evalute the 4th line integral from (3,4) to(0,0)
an equation of straight line joining from (3,4) to (0,0) in xy plane is x=0
∫₄⁰(3)y(0)+ 9dy
∫⁰₄ 9dy
=9*4=36
sum of all line integral=36+27+0+117
=180
final answer:therefore ∫ₐ pdx +qdy
∫∫ₓdq/dx-dp/dq=180
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Line integral by the two following methods is 180
What is integral calculus?
A line integral in Calculus is an integral in which the function to be integrated is evaluated along a curve. A path integral, curve integral, or curvilinear integral are all names for a line integral. This article will go over the definition of the line integral, formulas, examples, and how to use line integrals in real life
Given
line integral xy dx x^{2} dy c
c is counter clockwise
According to greens theorem
∫ₐpdx+qdy
∫∫ₓdq/dx-dp/dq
We evaluate the 1st line integral from (0,0) to (0,4) an equation of straight line joining (0,0) and (0,4)in the xy plane is y=4
l₁=∫⁰₄ x(4)dx+ x²(4)=∫⁰₄ 4xdx+4x²
=[4.x²/2+4x³/3]₄⁰
=4(16)/2+4(64)/3
=32+256/3
=117
We evaluate second integral from (0,4) to (3,0)
an equation of straight line joining (0,4) and (3,0) in xy plain is x=3 dx=0
the second line integral now becomes
l₂=∫³₀ (3)y(0)+3²dy
=∫³₀ 9dy
=27
We now evaluate the third line integral from (3,0) to (3,4)
an equation of straight line joining (3,0)and (3,4) in xy plain is y=4,dy=0
the third integral now becomes,
l₃=∫³₃ x(0)dx+ x²(4)
=∫³₃ 4x²
=4*9=36
36-36=0
Now evaluate the 4th line integral from (3,4) to(0,0)
an equation of straight line joining from (3,4) to (0,0) in xy plane is x=0
∫₄⁰(3)y(0)+ 9dy
∫⁰₄ 9dy
=9*4=36
Sum of all line integral=36+27+0+117
=180
Therefore ∫ₐ pdx +qdy
∫∫ₓdq/dx-dp/dq=180
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If you vertically stretch the exponential function f(x) = 2x by a factor of 4, what is the equation of the new function?
The equation of the new function is g(x) = 4(2ˣ)
How to determine the equation of the new function?The exponential equation is given as
f(x) = 2ˣ
Then, we have the transformation to be:
Vertically stretch by a scale factor of 4
The scale factor can be represented as k
So, we have
k = 4
The rule of vertical stretch by a scale factor of k is represented a
g(x) = kf(x)
So, we have
g(x) = 4 * 2ˣ
This gives
g(x) = 4(2ˣ)
Hence, the equation is g(x) = 4(2ˣ)
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Solve for x:
2 + 4x = 30
Answer:2 + 4x = 30
-2 -2
4x = 28
= 28/4 = 7
X is 7
x = 7
Step-by-step explanation:
The table below shows that the number of miles driven by Abigail is directly
proportional to the number of gallons she used.
Gallons Used Miles Driven
15
517.5
33
1138.5
36
1242
What is the constant of proportionality between the
number of miles driven and the number of gallons
used?
Answer: 34.5
Step-by-step explanation:
To find the constant of proportionality between miles driven and number of gallons used, we will divide the miles driven by the gallons used.
517.5 / 15 = 34.5
1138.5 / 33 = 34.5
1242 / 36 = 34.5
Question 8(Multiple Choice Worth 5 points) (Two-Step Linear Inequalities MC) A Solve the inequality and graph the solution. -3p+ 6.7> -4.4 (HELP ASAP!)
Answer: p < [tex]-\frac{11.1}{3}[/tex]
Step-by-step explanation:
To solve, we will isolate the p variable.
Given:
-3p + 6.7 > -4.4
Subtract 6.7 from both sides of the equation:
-3p > -11.1
Divide both sides of the equation by 3:
Note, you must switch the sign since you're dividing by a negative.
p < [tex]-\frac{11.1}{3}[/tex]
Answer:
p < 3.7
Step-by-step explanation:
-3p + 6.7 > -4.4
1- subtract 6.7 to leave -3p alone
-3p + 6.7 -6.7 > -4.4 - 6.7
-3p > -11.1
2- Divide both sides by -3. NOTE; u must change the > sign to < because u r dividing by a negative
-3p/-3 = p
-11.1/-3= 3.7
p < 3.7
A person starts 10 feet from a motion detector and runs toward it at a very fast constant rate of speed. Which graph described below could model this situation?
▸
O The graph is a very steep line that starts close to the origin and rises from left to right
O The graph is a fairly flat curve that begins high up on the y-axis and falls from left to right
O The graph is a horizontal line.
O The graph is a very steep line that begins high up on the y-axis and falls from left to right
Answer:The answer is the last one
Step-by-step explanation: The graph is a very steep line that begins high up on the y-axis and falls from left to right. That is the answer your welcome give me 5 stars
Find the slope of the line.
The slope of the line is 5/7. So, option B is correct.
What is meant by slope?In mathematics, a line's slope or gradient is a number that specifies both its direction and its steepness. There is no obvious answer to why the letter m is used for slope, although its first use in English is in O'Brien (1844), who wrote the equation of a straight line .
The slope of a line is found by dividing the "vertical change" by the "horizontal change" between (any) two distinct places on the line. The ratio is sometimes stated as a quotient ("rise over run"), yielding the same value each time.
The points of the line on the graph are:
A(3,1), B(-4, 4)
Slope=(y₂-y₁)/(x₂-x₁)
=(-4-1)/(-4-3)
= -5/-7
=5/7
Therefore, the lines slope is 5/7
Hence option A is correct.
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Find the equation of the line which:
Has a slope of 5 and passes through the point (2,9)
The equation of line is 5x - y = 1.
What are the types of equation of a line?
Different forms of equations of a straight line
Equations of horizontal and vertical lines.
Point-slope form equation of a line.
Two-point form equation of line.
Slope-intercept form equation of line.
Intercept form.
Normal form.
Given that the slope of the line is 5.
The line pass through the point (2,9).
The equation of line passes through the point (x₁, y₁) with slope m is
y - y₁ = m (x - x₁).
In the question m = 5, x₁ = 2, y₁ = 9
Putting m = 5, x₁ = 2, y₁ = 9 in y - y₁ = m (x - x₁)
y - 9 = 5 (x - 2)
Applying distributing property:
y - 9 = 5x- 10
5x - 10 - y +9 =0
5x - y -1 = 0
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Homework Progress
37/ 105 Marks
Gigi is going to buy 100 stickers.
Here is some information about the cost of stickers in two shops.
Stickers4u
Pack of 25 stickers for £2.25
World Stationery
Pack of 10 stickers for £1.75
Buy 1 pack get 1 pack free
Gigi wants to buy the stickers for the best possible price.
Which shop should Gigi buy the 100 stickers from?
You must show how you get your answer.
Show your workin
Gigi should buy stickers from World Stationery.
Define Expressions.
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Let's see the information about Stickers4u
Here, pack of 25 stickers is = £2.25
1 sticker cost = 2.25 / 25
= £0.09 per sticker
Now, information about World Stationery
Here, pack of 10 stickers is = £1.75
1 sticker cost = 1.75/10
= £0.175 per sticker
In this shop, the offer is also there i.e, Buy 1 pack get 1 pack free.
Therefore, Gigi should go with this shop for best possible price.
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HELP!!!!!!! I am so bad at math and need help asap!!
Answer:
Step-by-step explanation:
tbh i think its D
less than (<), greater than (>), and not (not equal to) are examples of ____.
Answer: Less than (<), greater than (>), and not (not equal to) are examples of comparison operators.
Step-by-step explanation: They show a comparison between the two operands.
find the area of the shaded figure
ASAPPPPPP
Answer:
[tex]A=20 units^2[/tex]
Step-by-step explanation:
I would separate out the shape into two equal right triangles over a square. The total area can then be found by adding these areas together:
[tex]A_t=2A_\Delta +A_s\\A_t=2(\frac{1}{2}bh)+(s)^2\\b=2 units\\h=2units\\s=4units\\A_t=2[\frac{1}{2}(2units)(2units)]+(4units)^2\\A_t=4units^2+16units^2\\A_t=20units^2[/tex]
In the context of hypothesis testing, what is a test statistic?
a. The confidence level that is to be used to except or reject the null hypothesis.
b. A parameter determine from a sample, such as mean or standard deviation, used to test a hypothesis.
c. A value, determined from sample information, used to test the null hypothesis.
In the context of hypothesis testing, a test statistic is; c. A value, determined from sample information, used to test the null hypothesis.
How to Interpret Hypothesis Testing?Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample. The null hypothesis is said to be a hypothesis where no important difference between the random variables
The test statistic is defined as a value that is computed from the sample data that is used when making a decision about whether or not to reject the null hypothesis.
Looking at the options and based on the definitions above, option C adequately describes the test statistic.
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help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
Answer:
15095.39
Step-by-step explanation:
[tex]A=13000(1+(0.03)/4)^{(4)(5)} \approx 15095.39[/tex]
Mandy tossed a fistful of silver coins into the air, then picked up the 23 coins that landed heads up.
Is this a random sample of the coins?
When Mandy tossed a fistful of silver coins into the air, then picked up the 23 coins that landed heads up, this isn't a random sample of the coins.
What is a random sample?In statistics, a simple random sample is a subset of individuals chosen at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.
A simple random sample is a subset of a population chosen at random. This sampling method gives each member of the population an exact equal chance of being chosen, reducing the risk of selection bias.
In this case, Mandy only picked heads, this isn't a random sample since it's biased.
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a military unit wants to pass through a forested arwa, but wants to check the area for possible enemy troops first. a team of speciaists will place 15 motion sensors throughout the area. each sensor has a probability of 0.95 of operating for a 24-hour period
By using Binomial distribution, it can be calculated that
a) Probability that the operation is successful = 0.8290
b) Number of sensors expected to operate during the 24 hour period = 14.25
What is Binomial Distribution?
Binomial Distribution is a discrete type probability distribution whose probability mass function is given by
P(X = x) = [tex]{n \choose x}p^xq^{n-x}[/tex]
p is the probability of success and q is the probability of failure.
a) This is a problem on Binomial Distribution
Probability that the operation is successful = P(X [tex]\geq[/tex] 14)
= P(X = 14) + P(X = 15)
P(X = 14) =
[tex]{15 \choose 14}(0.95)^{14}(1- 0.95)^{15 - 14}\\15 \times 0.95^{14}\times 0.05\\0.3657\\[/tex]
P(X = 15) =
[tex]{15 \choose 15} 0.95^{15}(1-0.95)^{15 - 15} = 0.4633[/tex]
Probability that the operation is successful = 0.3657+0.4633 = 0.8290
b) Number of sensors expected to operate during the 24 hour period = [tex]15 \times 0.95[/tex] = 14.25
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Suppose that X and Y have a discrete joint distribution for whichthe joint p.f. is defined as follows:f(x,y) = (1/30)(x+y) for x = 0,1,2 and y = 0,1,2,3.and 0 otherwise.a) Determine the marginal p.f.'s of X and Y.b) Are X and Y independent?
The probability mass function (pmf) of X formally displays the likelihood of events where X=xk.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin.
The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .
According to our question-
We can list the components of RX if X is a discrete random variable since RX is a countable set. In other words, RX=x1,x2,x3,... can be written.
Note that the random variable X here has the potential values x1, x2, x3
While we typically use capital letters to designate random variables, we typically use lowercase letters like x, x1, y, and z to denote the integers in the range.
We are interested in learning the probability that a discrete random variable, X, equals a certain value, xk.
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Select the correct answer.
Consider the function given below.
f(x) = |x-51 +2
Which of the following statements about the y-values of the graph of the function is true?
O A. The y-values are all greater than or equal to 2.
The y-values are all greater than or equal to 5.
The y-values are all less than or equal to 2.
The y-values are all less than or equal to 5.
B.
C.
O D.
Reset
Next
Correct option is A, For the given function, f(x) = |x-51 +2, the y-values are all greater than or equal to 2.
What is Absolute Value Function or so called Modulus Function or Mod function?It is a function that takes all real values as input and returns same values but +ve in nature eg if you give input as 2, output will be 2 and if you give input as -2, you will get output 2 again
Solution: We have expression Ix-5I + 2
we know that I anything I , called as mod of anything, is always greater than or equal to zero so if we take its minimum value as 0 and we get 0 + 2 = 2means this expression cant be less than 2 hence it will be greater than or equal to 2 because minimum value of mod is 0 and we are adding 2 to it hence overall the expression will be greater than 2 only.
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Three consecutive integers have a sum of â€""21. which equation can be used to find the value of the three numbers? x x x = negative 21 x 2 x 3 x = negative 21 x (x 1) (x 2) = negative 21
This equation x + (x + 1) + (x + 2) = negative 21 will be used.
Let the first Number is x.
We have to take 3 consecutive integers.
second Number is x+1
third Number is x+2.
Sum of these 3 consecutive integers is x+(x+1)+(x+2).
Sum of these 3 consecutive integers is given as negative21.
so we can write x+(x+1)+(x+2)=negative 21.
by using above equation we can find the value of 3 numbers.
So the final equation will be x + (x + 1) + (x + 2) = negative 21.
Given Question is incomplete, Complete Question here:
Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers? x + x + x = negative 21 x + 2 x + 3 x = negative 21 x + (x + 1) + (x + 2) = negative 21 x + (x + 2) + (x + 4) = negative 21
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Ana conducts a study using a /-test to see if there is a difference in the mean number of cups of coffee consumed between men and women. The null hypothesis would state that the population mean number of cups of coffee that women drink would _______ the population mean number cups of coffee that men drink.
The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.
What is meant by percentage?The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.
A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.
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