Answer:
m = 1
Step-by-step explanation:
Slope is defined by the change in y over the change in x, \(\frac{\Delta y}{\Delta x}\). A trick here is to find where 2 points where the slope intersects a corner of the square grids. For example, here, it can be (0,1) and (1,0). Then, you count how many squares you needed to go up or down by and divide by the number of square you needed to move right or left by. If you move up or right, the value will be positive and vice versa for down and left. Which direction you go will depend on which point you start on. Here, we can see between (0,1) and (1,0), we need to move up 1 and right 1. Meaning 1/1 is the slope or m = 1. If this doesn't make sense, just ignore it but it may come in handy when you move to more complex problems where the slope is a fraction or something.
Answer:
b= -1
m=1
Step-by-step explanation:
the equation for a linear graph is y=mx+b
your y intercept would be -1 because thats where the line crosses on the y axis. The slope which would be 1 is because when you are on the point (0,-1) you go up one and one to the right and get (1,0)
therefore the equation would be
y=1x-1 or y=x-1
A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
A. 82 possible license plates
B. 67,600 possible license plates
C. 676,000 possible license plates
D. 36 possible license plates
What is the solution to this equation?
X/5 = 25
A. x = 20
B. x= 125
C. x = 5
D. x= 30
Answer:
A. x=20
Step-by-step explanation:
The nullspace of nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors.
A. True
B. False
The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.
Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.
Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.
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Based on the size of each bird sold how many birds the center sell last week A-25B-28C-26D-27
Given:
Bird center bar chart is given.
\(\begin{gathered} \text{Number of birds sold last week=}4+12+6+5 \\ \text{Number of birds sold last week=}27 \end{gathered}\)Option D is the final answer.
Evaluate (4/5) to the third power
Answer:
ie (4/5)^3
= 64/125
Step-by-step explanation:
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Brownies are made using small cups of sugar, flour, and cocoa powder mixed in the ratio 1:3:2.
How many cups of cocoa powder are need for 4 cups of sugar?
Answer:
8 cups of cocoa
Step-by-step explanation:
1:3:2, where 1 is sugar, 3 is flour, and 2 is cocoa.
Because question doesn't ask for flour, ignore that:
1:2, where 1 is sugar, and 2 is cocoa
to get to 4 cups of sugar, you need to multiply by original 1 cup by 4.
so, multiply both sides by 4.
1*4=4
2*4=8
your new ratio is 4:8, where 4 is sugar, and 8 is cocoa.
So, you would need 8 cocoa, if u did 4 sugar
Answer:8 cups of cocoa powder
Step-by-step explanation: Sugar:Flour:Cocoa - 1:3:2
For each cup of sugar - 3 flour
For three Flour: 2 Cocoa
so for four cups of sugar 1x4 = 4
Flour - 3x4 = 12
Cocoa - 2x4 = 8
Final Answer: 4:12:8
Express the following statements in propositional logic using the propositions:
N the system is functioning normally
L the file system is locked
Q new messages are queued
B new messages are sent to the message buffer
(a) New messages are not sent to the message buffer
(b) If new messages are not queued then they are not sent to the message buffer
(c) If the system is functioning normally then the file system is not locked
(d) If the file system is not locked then
(i) new messages are queued,
(ii) new messages are sent to the message buffer
(iii) the system is functioning normally
(e) Choose values (true or false) for each of the variables L, Q, B, N to make all the four propositions in parts (a) (b) (c) and (d) true.
Other answer isn't what i was looking for, so please give correct answer.
The given propositions N, L, Q, and B are used to express statements in propositional logic, considering conditions and logical implications.
(a) The statement "New messages are not sent to the message buffer" can be represented as ¬B.
(b) The statement "If new messages are not queued then they are not sent to the message buffer" can be represented as Q → ¬B.
(c) The statement "If the system is functioning normally then the file system is not locked" can be represented as N → ¬L.
(d) The statement "If the file system is not locked, then (i) new messages are queued, (ii) new messages are sent to the message buffer, and (iii) the system is function normally" can be represented as ¬L → (Q ∧ B ∧ N).
(e) To determine values for L, Q, B, and N that make all the four propositions true, one possible assignment would be:
L = false, Q = true, B = true, N = true. This satisfies the given propositions, making all the statements in (a), (b), (c), and (d) true.
By representing the statements using propositional logic and assigning appropriate truth values to the propositions, we can analyze the logical relationships and conditions described by the given propositions.
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Determine the LCM of the following monomials listed below.
\(\boxed{\sf 60x^6y^4}\)
Option d is correctsuppose five students from the class are chosen at random. what is the probability that none are mechanical engineering majors?
The probability that none are mechanical engineering majors is 0.51.
The number of students who are not mechanical engineering majors is 100 - 49 = 51. The probability of choosing a student who is not a mechanical engineering major in one draw is 51/100. The probability of choosing five students in a row who are not mechanical engineering majors is (51/100)^5. Thus, the answer is (51/100)^5 = 0.1517816.
Probability refers to potential. From 0 to 1 is used to express the value. To determine how likely an event is to occur, probability has been introduced in mathematics. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment. The complete number of possibilities that can occur should be known before calculating the likelihood that a certain event will occur.
The complete question is:-
In a class of 100 students, 30 are computer science majors, 49 are mechaincal engineering majors, 13 are civil engineers and the rest are general engineering majors. Assume students only have one major.Suppose five students from the class are chosen at random what is the probability none are mechanical engineering majors?My info I know: The mechanical engineers account for 49% of the students, making 51% not mechanical engineers? Do I take five out of the 51, so 0.05 X 0.51?
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An equilateral triangle with side length 2.5 is dilated with a scale factor of 6. What is the length of one side of the new figure?
2.5
2.5
6
6
7.5
7.5
15
Answer: 15
Step-by-step explanation:
Side length =2.5
length new side = 6x6.5=
15
What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?
Answer:
3x-4y=19
Step-by-step explanation:
Hi there!
We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.
y=3/4x+b
Now we need to solve for b
Since the equation passes through the point (1, -4), we can use it to solve for b
Substitute 1 as x and -4 as y.
-4=3/4(1)+b
Multiply
-4=3/4+b
Subtract 3/4 from both sides
-19/4=b
Now substitute -19/4 as b into the equation
y=3/4x-19/4
Now we have the equation in slope-intercept form, but remember, we want it in standard form
Since x and y are on the same side in standard form, subtract 3/4x from both sides
-3/4x+y=-19/4
Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)
So in order to clear the fractions and change the sign of the equation, multiply both sides by -4
-4(-3/4x+y)=-4(-19/4)
Multiply
3x-4y=19
Hope this helps!
A circle is graphed on this coordinate plane. What is the radius in units of the circle and what is the equation of the circle?
Answer:
The radius is 4 units, and the equation of the circle is:
(x - 3)^2 + (y + 5)^2 = 16
Step-by-step explanation:
A circle centered at the point (a, b) and with a radius R, is written as:
(x - a)^2 + (y - b)^2 = R^2
In the image, we can see that a segment that cuts the circle in two halves is the segment between the points:
(-1, -5) and (7, - 5)
The distance between these points is the diameter of the circle.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:
D = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)
Then in this case, the distance between the known points is:
D = √( (7 - (-1))^2 + (-5 - (-5))^2)
D = √( 8^2) = 8
The diameter of the circle is 8
Then the radius is:
R = 8/2 = 4
the radius is 4.
Now, to find the center of the circle we just need to go to any of the two extremes of the interval and count 4 units towards the center of the circle, this is:
(-1 + 4, -5) = (3, -5)
or
(7 - 4, -5) = (3, -5)
Then the center of the circle is the point (3, -5) and the radius is R = 4
The equation of the circle is:
(x - 3)^2 + (y - (-5))^2 = 4^2
(x - 3)^2 + (y + 5)^2 = 16
What inequality is represented in the graph?
Enter your answer by filling in the boxes. Express the inequality in vertex form.
The required inequality is y < (x + 2) + 3
How to find the inequality represented by the graph?To find the inequality representing the graph, we need to find the equation of the curve.
We see that the curve is a parabola. So representing the parabola in vertex form with vertex (h, k) , we have
y = a(x - h) + k where
h = x - intercept of vertex and k = y - intercept of vertexNow, from the graph, we see that
the x - intercept of the vertex, h = -2 and the x - intercept of the vertex, k = 3So, substituting these into the equation, we have
y = a(x - h) + k
y = a(x - (-2)) + 3
y = a(x + 2) + 3
Also, we see that the graphintercepts the y- axis at (0, 5)
So, substituting these into the equation, we have
y = a(x + 2) + 3
5 = a(0 + 2) + 3
5 = a(2) + 3
5 = 2a + 3
5 - 3 = 2a
2a = 2
a = 2/2
a = 1
So, the equation of the parabola is y = (x + 2) + 3
From the graph, we see that the region shaded is the region below the parabola y = (x + 2) + 3. Also, the curve is not dashed so, it is not included in the region, thus we use the < sign.
So, the required inequality is y < (x + 2) + 3
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which is not true about scanner data. a. scanner data is considered primary data. b. scanner data is collected during check out at a business or store. c. scanner data is collected from upc codes. d. scanner data is collected during focus groups.
Not true about scanner data is a. scanner data is considered primary data .
Scanner panel data are just data that are recorded through checkout scanners that track purchases of the panel participants. So the panel is made up of different consumers who agree to have their purchase behavior tracked.
The scanner converts the light energy into electrical energy, which is then converted into data by the decoder and forwarded to a computer
scanner panel data allows us to make comparisons between different consumers
So, scanner panel data is a rich source of information that can be very helpful in guiding us and in designing and implementing our marketing strategy.
Not true about scanner data is a. scanner data is considered primary data
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Not true about scanner data is a. scanner data is considered primary data .
Scanner panel data are just data that are recorded through checkout scanners that track purchases of the panel participants. So the panel is made up of different consumers who agree to have their purchase behavior tracked.
The scanner converts the light energy into electrical energy, which is then converted into data by the decoder and forwarded to a computer
scanner panel data allows us to make comparisons between different consumers
So, scanner panel data is a rich source of information that can be very helpful in guiding us and in designing and implementing our marketing strategy.
Not true about scanner data is a. scanner data is considered primary data
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How do I reduce proportions?
Answer:
Oh easy...
Step-by-step explanation:
Multiply the numerator on the left by the denominator on the right, and the numerator on the right by the denominator on the left, to solve a proportion. Cross multiplying is the term for this. Simplify the equation, then solve for the variable using the inverse operation, division.
there are 5 more of this same question get free pounts! Rex and Samir participated in a walkathon. Rex walked for 1 2/3 hours, and Samir walked for 3 1/3 hours. complete the comparison. Samir walked _____ times ad many hours as Rex walked.
Answer:
2 times as much
Step-by-step explanation:
1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes
3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins
200 is twice as much as 100
if your degrees of freedom is 24, your sample size when conducting a t test for dependent means must be ______. a. 26 b. 23 c. 25 d. 24
If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.
The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.
However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:
df = n - 1
Where "n" is the number of pairs of observations in the sample.
Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:
n = df + 1 = 24 + 1 = 25
Hence, the answer is 25.
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what is the Average of -8, -1, -3
Answer:
\( = \frac{ - 8 - 1 - 3}{3} \\ = \frac{ - 12}{3} \\ = - 4\)
Consider a closed economy where the central bank does not play an active role in setting
the interest rate. The following equations describe the economy:
= 100 + 0.75
= 200 ― 2500
= 25 T = 20
(/P)
= ― 10000
= 1500
P = 3
Note that , the equilibrium interest rate in this closed economy is approximately 0.0796 or 7.96%.
How is this so?Given the following equations -
C = 100 + 0.75% * (M/P)\(^{D}\) = Y - 10000
1 = 200 - 2500i
G = 25
T = 20
M = 1500
P = 3
Let's start by finding the level of income (Y) in equilibrium. In equilibrium, total spending (Y) equals total income (Y).
Y = C + I + G
Y = C + 0 + G (since investment, I, is not specified in the equations)
Substituting the equation for consumption (C) and given values, we have -
Y = (100 + 0.75% * (M/P)\(^{D}\)) + G
Y = (100 + 0.75% * (1500/3)\(^{D}\)) + 25
Y = (100 + 0.75% * 500\(^{D}\)) + 25
Y = (100 + 3.75) + 25
Y = 128.75
Now, let's equate the quantity of money demanded (M\(^{D}\)) with the quantity of money supplied (M) -
M\(^{D}\) = M
100 + 0.75% * (M/P)\(^{D}\) = 1500
Substituting the given values for M and P -
100 + 0.75% * (1500/3)\(^{D}\) = 1500
100 + 0.75% * 500\(^{D}\) = 1500
100 + 3.75 = 1500
3.75 = 1500 - 100
3.75 = 1400
Next, we solve the equation for i -
1 = 200 - 2500i
Rearranging the equation -
2500i = 200 - 1
2500i = 199
i = 199/2500
i = 0.0796
Hence, the equilibrium interest rate in this closed economy is approximately 0.0796 or 7.96%.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Consider a closed economy where the central bank does not play an active role in setting the interest rate. The following equations describe the economy: C = 100+ 0.75% (M/P)^D =Y - 10000 1 = 200-2500i G = 25 and T = 20 M = 1500 P=3 4. Solve for the equilibrium interest rate.
d + 4(d + 6) = -11 *
Hey there!
\(d+4(d+6)=-11\)
Let's simplify both sides of the equation:
\(d+4(d+6)=-11\)
Now let's distribute:
\(d+(4)(d)+(4)(6)=-11\\d+4d+24=-11\)
Now combine like terms:
\((d+4d)+(24)=-11\\5d+24=-11\)
Subtract 24 from both sides:
\(5d+24-24=-11-24\\5d=-35\)
Now divide both sides by 5:
\(\frac{5d}{5}=\frac{-35}{5}\)
In order to get our answer, we need to simplify by dividing -35 and 5:
\(\frac{-35}{5} =-7\\d=-7\)
Hope this helps!
\(AT2309\)
Please help :) will mark brainliest
Answer:
1) C: 113 m
2) C: 572.3 m²
3) B: 61.2 cm²
4) A: $2.2
6) C: 756 yd³
8) D: 3402 mm²
9) A: 25x + 125 < 500
Step-by-step explanation:
1) Formula for circumference of circle is;
C = 2πr
radius; r = 18 m
C = 2π × 18
C ≈ 113 m
2) Formula for area of a circle is;
A = πr²
Here we have diameter; d = 27
Thus, radius; r = 27/2 = 13.5 m
A = π × 13.5²
A = 3.14 × 13.5²
A ≈ 572.3 m²
3) The diameter of the semicircle is parallel to the base of the rhombus. Thus, diameter; d = 7 cm
Thus, r = 7/2 = 3.5 cm
Area of semi circle = ½πr² = ½ × π × 3.5² = 19.2 cm²
Area of rhombus = base x height = 7 × 6 = 42 cm²
Total area of object = 42 + 19.2 = 61.2 cm²
4) Cost of banana per pound = $0.4 per pound
Amount of banana bought = 5.5 pound
Amount spent = 0.4 × 5.5 = $2.2
6) Volume of triangular prism is;
V = ½bhl
b = 12 yd
h = 7 yd
L = 18 yd
Thus;
V = ½ × 12 × 7 × 18
V = 756 yd³
8) Volume of cuboid at the base;
V1 = lbh = 25 × 9 × 9 = 2025 mm²
Volume of cuboid at top;
V2 = 9 × 9 × 9 = 729 mm²
Volume of triangular prism;
V3 = ½bhl = ½ × 9 × 9 × (25 - 9) = ½ × 81 × 16 = 648 mm²
Total volume = 2025 + 729 + 648 = 3402 mm²
9) Cost per class; $25 per class
Charge for the supplies = $125
He doesn't want to spend more than $500.
Thus;
25x + 125 < 500
help!!! i’ll mark brainliest!!
Answer:
CD or DC
Step-by-step explanation:
One of those two..
Answer:
I would say that it is AD because the 2 lines in the first proportion are going the same direction.
Step-by-step explanation:
A wedding planner is preparing a wedding reception dinner and has determined that the overall cost will require $25 for each guest that attends and a maximum of 200 guest. The situation can be represented by c(x)=25, where x is The independent variable and represents the number of guest and c(x) Is the dependent variable and represents the cost of the reception
The equation that shows the total cost for x guest is c(x) = 25x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of guest and c represent the cost. Given that cost will require $25 for each guest that attends and a maximum of 200 guest, hence:
c(x) = 25x
The equation that shows the total cost for x guest is c(x) = 25x
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Find the slope, or rate of change:
PLEASE HELP what type of angles are 4 and 5 ? linear pair
corresponding angles
alternate exterior angles
same side interior angles
vertical angles
alternate interior angles
a scientist recorded the growth (g) of pine trees and the amount of rain fall (r) they received in their first year. which equation best fits the data
An equation that best fits the data is: C. g = -0.019r² + 0.797r + 1.94.
How to determine the line of best fit?In this scenario, the r (inches) would be plotted on the x-axis (x-coordinate) of the scatter plot while the G (inches) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the r (inches) and the G (inches), an equation for the line of best fit is given by:
g = -0.019r² + 0.797r + 1.94
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Using the numbers 8, 6, 4, and 2, write an expression that equals 6.
Answer:
6+4,8-6, 4x2,8-2
Step-by-step explanation:
A toy manufacturer produces its toys according to the production function: (10 PTS) Q = 4K + 5L where Q = output of toys per hour K = capital input per hour L = labor input per hour Answer the following questions. YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT. a) If K = 20, how much L is needed to produce 400 toys per hour? b) If L = 40, how much K is needed to produce 500 toys per hour?
a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.
To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64
Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.
b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L
Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75
Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.
In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.
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Which of these inequalities are equivalent to r > -11? Check all that apply. -r -33 -3r 33
Answer:
33
Step-by-step explanation:
33 is positive and greater than negative
Answer: A C D
Step-by-step explanation:
The divorce rate for women who marry over the age of 20 years is 36%. The divorce rate for women who were married when they were 18 years or younger is ____________.
The divorce rate for women who were married when they were 18 years or younger is higher than for those who marry over the age of 20 years. According to the latest research and studies conducted by various organizations, the divorce rate for women who marry at the age of 18 or younger is around 48%.
There are several reasons for the higher divorce rate among women who marry at a young age. One major factor is lack of maturity and life experience. Marriage requires a certain level of maturity and emotional stability to navigate the ups and downs that inevitably come with any long-term commitment. Many young women who marry before the age of 20 may not have fully developed these qualities, leading to conflict and dissatisfaction in the relationship.
Another factor is societal pressure and expectations. Women who marry young are often expected to take on traditional roles such as homemaker and mother, which can be overwhelming and stressful. This can lead to feelings of resentment and frustration, which can ultimately lead to divorce.
It's worth noting that there are exceptions to every rule, and there are certainly couples who marry young and have long, happy marriages. However, statistics show that the divorce rate is higher among those who marry at a young age.
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