Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
Answers
The slope of the given lines are:
Graph 1 = 1/3
Graph 2 = -1/3
Graph 3 = 3
Graph 4 = -3
How to Find the Slope of a Line?To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:
Slope of a line (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
Find the slope of Graph 1:
Using two points on the line, (0, 0) and (3, 1):
Slope of graph 1 (m) = (1 - 0)/(3 - 0)
Slope of graph 1 (m) = 1/3
Find the slope of Graph 2:
Using two points on the line, (0, 0) and (-3, 1):
Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3
Slope of graph 2 (m) = -1/3
Find the slope of Graph 3:
Using two points on the line, (0, 0) and (1, 3):
Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1
Slope of graph 3 (m) = 3
Find the slope of Graph 4:
Using two points on the line, (0, 0) and (-1, 3):
Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1
Slope of graph 4 (m) = -3
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Related Questions
What is the value of pi
Answers
Answer:
the value of pi is 3.14159
What is the slope-intercept of (-4,-5) and slope is 1/2
Answers
We are given a set of coordinates which are;
[tex](-4,-5)[/tex]And the slope which is;
[tex]\frac{1}{2}[/tex]The equation of a line in slope-intercept form is;
[tex]y=mx+b[/tex]Note that in this equation, the variable m is the slope (that is, the coefficient of x). we can now substitute for x, y and m into the equation above and we'll have;
[tex]\begin{gathered} y=mx+b \\ \text{Where,} \\ x=-4,y=-5,m=\frac{1}{2} \\ -5=\frac{1}{2}(-4)+b \\ -5=-2+b \\ \text{Add 2 to both sides of the equation;} \\ -3=b \end{gathered}[/tex]We now have the values of the slope and the y-intercept as
[tex]m=\frac{1}{2},b=-3[/tex]The equation now can be written as;
[tex]\begin{gathered} y=\frac{1}{2}x+(-3) \\ y=\frac{1}{2}x-3 \end{gathered}[/tex]ANSWER:
[tex]\begin{gathered} m=\frac{1}{2} \\ b=-3 \\ \text{Equation;} \\ y=\frac{1}{2}x-3 \end{gathered}[/tex]exercise 2.31. suppose a family has 2 children of different ages. we assume that all combinations of boys and girls are equally likely. (a) formulate precisely the sample space and probability measure that describes the genders of the two children in the order in which they are born. (b) suppose we learn that there is a girl in the family. (precisely: we learn that there is at least one girl.) what is the probability that the other child is a boy? (c) suppose we see the parents with a girl, and the parents tell us that this is their youngest child. what is the probability that the older child we have not yet seen is a boy?
Answers
A. P(BB) = P( GG) ,P(BG), P(GB) .1/4 the sample space and probability measure that describes the genders of the two children in the order in which they are born.
B. = 1/2 is the probability that the other child is a boy.
C. 1/2 is the probability that the older child we have not yet seen is a boy.
A. sample space s. {BB,GG,BG,GB}
P(BB) = P( GG) ,P(BG), P(GB) .1/4
B. P(other child is boy / at least one girl
therefore P(A/B) = P(A∩B)/P(B) ( Additional probe)
P(B) = P (at least one girl)
= P (GG)+P(BG)+P(GB)
= 1/4+1/4+1/4
= 3/4
P (A∩B) = P (One boy and one girl)
= P (BG)+P(GB)
= 1/4+ 1/4
= 1/2
Therefore, P(A/B) = [tex]\frac{\frac{1}{2} }{\frac{3}{4} }[/tex] = 2/3
C. P (older child is a boy/ younger child is a girl)
P [tex]\frac{older child\ is a\ boy}{youngerchild is a girl}[/tex]
P(BG)/P (BG)+ P (GG) = 1/4/1/4+1/4 = 1/2
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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evaluate (8+2)³-6 pla help me thanks
Answers
Answer:
994
Step-by-step explanation:
work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994
Answer:
994
Step-by-step explanation:
PEDMAS
Do the math inside the parentheses first
8+2 = 10 Now do the exponent 10^3 = 1000 Now subtract 6 = 994
in the presence of changing variability, the estimated standard errors of the ols estimators are inappropriate. what does this imply about using standard testing?
Answers
The error term, which refers to the sum of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.
What does OLS regression's error term mean?The error term, often referred to as the residual, disturbance, or remaining term, is denoted by the letters e,, or u in various ways in models.Use of an Error Term in a Formula : An error term basically denotes that the model is not entirely precise and yields varying outcomes when used in practical applications. Assume, for instance, that a multiple linear regression function has the following shape:Y=αX+βρ+ϵ
where:
α,β=Constant parameters
X,ρ=Independent variables
ϵ=Error term
During an empirical test, if the actual Y is different from the expected or projected Y in the model, the error term does not equal 0, indicating that other factors affect Y.The OLS estimators will continue to be linear, impartial, and consistent in the presence of autocorrelation. However, because to the absence of a minimal variance, the estimators will no longer be BLUE. It implies that the predictions made using the OLS estimators will be ineffective if the error terms are autocorrelated.To Learn more About error term refer to:
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3. Given the perimeter of the figure is 76 ft, Find
the dimensions of the shape.
(4x-5) ft
(25-x) ft
(13 + x) ft
T
(3x + 1) ft
Answers
The most appropriate choice for perimeter of a shape will be given by-
UT = 19 ft
ST = 19 ft
RS = 19 ft
UR = 19 ft
What is perimeter of a shape?
Perimeter of a shape is the length of the boundary of the shape.
It is obtained by taking the sum of all the length of the boundary.
Here,
UT = (25 - x) ft
ST = (3x + 1) ft
RS = (13 + x) ft
UR = (4x - 5) ft
Perimeter = UT + ST + RS + UR
= (25 - x + 3x + 1 + 13 + x +4x -5) ft
= (7x + 34) ft
By the problem,
[tex]7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6[/tex]
UT = [tex]25 - 6[/tex] = [tex]19[/tex] ft
ST = [tex]3 \times 6 + 1[/tex] = [tex]19[/tex] ft
RS = [tex]13 + 6 = 19[/tex] ft
UR = [tex]4\times 6 - 5[/tex] = 19 ft
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what are the chances that radio transmissions from earth or messages sent on distant space probes will ever be received by living beings? what are the chances that radio transmissions from earth or messages sent on distant space probes will ever be received by living beings? extremely high. very low. about 50%.
Answers
The chances that radio transmissions from Earth or messages sent on distant space probes will ever be received by living beings are very low.
What is meant by radio transmission?In radio transmission, a radio transmitter's antenna couples electromagnetic energy into the atmosphere or other open space. Electromagnetic radio waves are caught by a receiving antenna during radio reception and coupled into a receiver for detection.
Radio waves have a low frequency, which limits their ability to deliver large amounts of data at once.
There are extremely slim odds that radio signals from Earth or messages placed on far-off space probes will ever be received by living things, it is acceptable to the state. Remember that some scientists have held this belief about the existence of extraterrestrial life for years without any convincing evidence.
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The function g(x)is represented by g (x)=2(x+3)^2+4.rewrite the function in standered form.
Answers
g( x ) = 2x² + 12x + 22 is the standard form of the the function g( x ) = 2( x + 3 )² + 4.
What is the standard form of the function?Polynomials in standard forms are written in a way that arrange the terms in descending order.
Given the data in the question.
g( x ) = 2( x + 3 )² + 4
First, we expand; ( x + 3 )² → ( x + 3 )( x + 3 )
g( x ) = 2( ( x + 3 )( x + 3 ) ) + 4
Using FOIL Method
g( x ) = 2( x² + 3x + 3x + 9 ) + 4
g( x ) = 2( x² + 6x + 9 ) + 4
Apply distributive property
g( x ) = 2( x² + 6x + 9 ) + 4
g( x ) = ( 2x² + 12x + 18 ) + 4
Add 18 and 4
g( x ) = 2x² + 12x + 18 + 4
g( x ) = 2x² + 12x + 22
Therefore, the function in standard form is g( x ) = 2x² + 12x + 22
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Part A Write the multiplication expression shown by the model. Do not solve the problem. Part B
Explain the expression written in Part A. Include the final product and how it is shown with the model.
Answers
The multiplication expression is given as L × w
The expression is given as N = r+ g + w + b
The final product of the expression is 200 boxes
How to determine the expressionNote that the formula determining the area of a rectangle is expressed as;
Area = lw
Where;
l denotes the length of the rectanglew denotes the width of the rectangleThe area of the figure can be calculated by multiplying the length and the width and then addition of the number of boxes.
This is given as;
10( 4 + 5 + 4 + 7)
Also
L × w = r + g + w + b
The expression L×w is a multiplication expression.
Total number of boxes vertically is the length = 20
Total number of boxes horizontally is the width = 10
Total area = L×w = 20 × 10 = 200
Number of the red boxes = 46Number of the green boxes = 46Number of the blue boxes = 46Number of the white boxes = 62Then,
N= r + g + w + b
We have;
L×B = 3r + w
Hence, a multiplication expression is expression having variables that are multiplied.
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At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.25 and the cost of a large greeting card is $4.50. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
Answers
The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the Cost of the small greeting card = is $1.25 .
The Cost of the large greeting card =$4.50.
We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.
The Cost of 5 small greeting cards = 6.25
The Cost of 4 large greeting cards = 18
Then the Total cost = $6.25+ $18 =$24.25
Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.
Now, the total cost of x small and y large greeting cards will be;
Cost of x small greeting cards = 1.25x
Cost of y large greeting cards = 4.50y
Total cost = 1.25x + 4.50y
Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
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Find the reminder when 2 to the 100th power is divided by 5 explain your work
Answers
The reminder of 2 to the 100th power divided by 5 is 1
What is the reminder when 2 raised to the power of 100 is divided by 5?2 to the 100th power is:
[tex]2^{100}[/tex] = 1,267,650,600,228,229,401,496,703,205,376
Then dividing 2 to the 100th power by 5:
1,267,650,600,228,229,401,496,703,205,376 / 5 = 253,530,120,045,645,880,299,340,641,075 (without considering the decimal value)
This tells us how many times 5 can divide 2 to the 100th power.
Next, we need to multiply the answer obtained from the division by 5 (since we used 5 to divide):
253,530,120,045,645,880,299,340,641,075 x 5 = 1,267,650,600,228,229,401,496,703,205,375
Lastly, subtracting our last answer from the value of 2 to the 100th power will give us the reminder:
1,267,650,600,228,229,401,496,703,205,376 - 1,267,650,600,228,229,401,496,703,205,375 = 1
Therefore, the reminder when 2 raised to the power of 100 is divided by 5 is 1.
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The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old?.
Answers
Since the ages of students at a university are normally distributed with a mean of 21, the percentage of the student body that is at least 21 years old is: 50%.
What is a normal distribution?A normal distribution is also referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which indicate that all data near the mean have a higher frequency than the data that are far from the mean.
For all normal distributions, the mean is always located at the center with 50 percent (50%) or 0.5 of the distribution to either side, which is right or left of the distribution.
In this context, the percentage of student body that is at least 21 years old is represented by the percentage to the left of the normal distribution, which is 50 percent (50%):
P(x ≤ 21) = 50%
P(x ≤ 21) = 50/100
P(x ≤ 21) = 0.5.
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Answer the question below
Answers
B) 5
C) 2
Hope this works
I’m very confused with this question, I tried to do it but I just have slight feeling I got this wrong and I want to double check make sure my answer is correct. Would you please me help me thank you very much
Answers
The powers of the imaginary number i have four possible values: 1, i, -1, and -i. Let's see some examples:
i⁰ = 1 (any number with the exponent 0 equals 1)
i¹ = i (any number with the exponent 1 is the number itself)
i² = -1 (this follows from the definition of the imaginary number, the square root of -1)
i³ = i² * i = -1 * i = -i
Now, the results start to repeat from 1 to -i:
i⁴= i² * i² = (-1) * (-1) = 1
i⁵ = i⁴ * i = 1 * i = i
i⁶ = i * i⁵ = i * i = i² = -1
i⁷ = i⁶ * i = -1 * i = -i
From that, we can follow the steps below to find the value of a power of i:
• divide the exponent by 4;
,• if the rest of the division is 0, then the power equals ,i⁰ = 1,;
,• if the rest of the division is 1, then the power equals ,i¹ = i,;
,• if the rest of the division is 2, then the power equals ,i² = -1,;
,• if the rest of the division is 3, then the power equals ,i³ = -i,.
So, for the power i⁶⁴⁹, the exponent is 649. Following the steps above, we find:
• 649/4, has a quotient of 162 and the, rest 1,. Therefore:
i⁶⁴⁹ = i¹ = i
Thus, i⁶⁴⁹ equals i.
a company produces steel rods. the lengths of the steel rods are normally distributed with a mean of 140.9-cm and a standard deviation of 1-cm. for shipment, 22 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is less than 140.7-cm.
Answers
The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
Steel rods are produced by a firm. The lengths of the steel rods have a mean of 140.9 cm and a standard deviation of 1 cm, and they are regularly distributed. 22 steel rods are packaged together for shipping. determine the likelihood that the average length of a bundle of steel rods chosen at random is less than 140.7 cm.
mean is N (M) (109,1.6)
Looking for P(M 108.7) to P(z ???) conversion utilizing N(0,1) z-statistic transformation
P(z [M - population mean]/[SD/square root(sample size)]) = P(z [108.7-109)/[1.6/sqrt(27)] = P(z -0.974] = 0.165.
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What is the average of the expressions 2x+5, 5x-6, and -4x+2
Answers
Answer:
x+1/3
Step-by-step explanation:
Add the terms together (3x+1), then divide by how many terms there are (3), to get the average of the expressions
vAt her Fourth of July party, Sally serves her famous grilled chicken. Her secret is to use 6 fluid ounces of lemon-garlic marinade for every pound of chicken. Sally plans to grill 4 pounds of chicken. How many cups of marinade should she use
Answers
In linear equation, 3 number of cups will be needed to marinade 4 pounds of chicken for grill.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. A linear equation in one variable would be 9x + 78 = 18, for instance.Here we have the data from the question:-
Marcy will use 6 fluid ounces of lemon-garlic marinade for every pound of chicken.
Marcy plans to grill 4 pounds of chicken.
So total marinade required will be:-
Total marinade =6x4=24 ounces
Now we know that the conversion:-
1 fluid Ounce = 0.125 Cup
24 fluid ounce =0.125 Cup
Hence 3 number of cups will be needed to marinade 4 pounds of chicken for grill.
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C= 3 + ab find the variable for b
Answers
———
a
I don’t know if you understand the answer but anyways
Which operation comes first in the problem below? 4(3.7 +1.23) -12 A. Addition B. Subtraction C. Multiplication D. Division
Answers
A. Addition
Explanation
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete
Step 1
so, firts calculate the parenthesis
[tex]\begin{gathered} 4(3.7+1.23)-12 \\ 4(4.93)-12 \end{gathered}[/tex]
the operation in parenthesis is an addition
i hope this helps you
I need to know how to get the answers I’m new to this
Answers
Always that we have an integer, let's say 2, we can rewrite it like:
[tex]\frac{2}{1}[/tex]This will help us when multiplying fractions. To multiply two fractions, we simply multiply the numerator with the numerator and denominator with denominator. In this case:
[tex]\begin{gathered} 2\times-\frac{7}{4}=\frac{2}{1}\times-\frac{7}{4}^{} \\ \\ -\frac{2\times^{}7}{1\times4} \end{gathered}[/tex]And then solve:
[tex]-\frac{2\times^{}7}{1\times4}=-\frac{14}{4}[/tex]Now we can further simplify this fraction, because 14 and 4 are divisible by 2, then:
14 = 2 x 7
4 = 2 x 2
Then the final answer is:
[tex]-\frac{7}{2}[/tex]the interest rate on a five-year certificate of deposit (cd) for banks in south florida in 2018 was normally distributed with a mean of 2.28 percent and a standard deviation of 0.37 percent. what is the cutoff interest rate for the highest 15% of banks in this area?
Answers
The highest cut-off interest rate is 2.66%
Given that,
Standard deviation (sigma) = 0.37
Mean percentage (Mu) = 2.28 %
P(Z > 1.04) = 0.15
z = 1.04
Using the z-score formula,
x = (z × sigma) + mu
x = (1.04 × 0.37 )+ 2.28 = 2.66 %
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a steel sphere with a 3-inch radius is made by removing metal from the corners of a cube that has the shortest possible side lengths. how many cubic inches are in the volume of the cube?
Answers
The volume of the cube with the shortest possible side lengths is 216 cubic inches.
If a steel sphere with a 3-inch radius is made by removing metal from the corners of a cube that has the shortest possible side lengths, then the side lengths of the cube must be equal to the diameter of the sphere.
side length of cube = diameter of sphere
side length of cube = 2 x radius of sphere
side length of cube = 2 x 3 inches
side length of cube = 6 inches
The volume of the cube can be calculated using the formula below.
V = s³
where V = volume and s = side length of cube
V = (6 inches)³
V = 216 cubic inches
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how many ways can a president, a vice-president and a secretary be chosen from 12 members of a club assuming that one person cannot hold more than one position?
Answers
Answer: 1320 ways.
Step-by-step explanation:
For this problem you should use the formula for variations in combinatorics. You use this when choosing a few objects from a group in which the order of the objects is of importance:
[tex]P^{12} _{3}=\frac{12!}{(12-3)!}=\frac{12 \cdot 11\cdot 10\cdot ...\cdot 1}{9 \cdot 8 \cdot ... \cdot 1} = 12 \cdot 11 \cdot 10 = 1320[/tex]
where ! stands for factorial.
893 is 94% of what amount
Answers
2. Evaluate the expression
4 (-1.2-4-4.75) +1+(-3)².
Answers
Answer:
-29.8
Step-by-step explanation:
4 (-1.2-4-4.75) +1+(-3)²
4 (-1.2-4-4.75) +1+(-3)²
4 (-9.95) +1+9
4 (-9.95) +1+9
-39.8 +1+9 = -29.8
PLEASE HELP ME THIS IS DUE IN 30 MINTUES!
Answers
Answer:
70
Step-by-step explanation:
Proportional means in a ratio.
Picking any L/W from the table works. Set that equal to 42/W.
[tex]\frac{6}{10} =\frac{42}{W}[/tex]
Solve for W.
6W = 42 * 10
6W=420
W=70
what is y= –12x–6 on a graph
Answers
The graph of the equation y = –12x – 6 is attached in the solution.
We can find the x and y intercept of the line to find make the graph.
Putting x = 0 in the given equation, we get:-
y = -12(0) - 6 = 0 - 6 = -6
Hence, the x -intercept is (0,-6).
Putting y = 0 in the given equation, we get:-
0 = -12x - 6
6 = -12x
x = 6/(-12)
x = -1/2
Hence, the y -intercept is (-1/2,0).
We can find another point on the line.
Putting x = -1 in the given equation, we get:-
y = -12(-1) - 6
y = 12 - 6 = 6
y = 6
Hence, another point on the line is (-1,6).
Plotting these points we can graph the equation of the line.
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Katerina runs 15 miles in 21/2 hours. What is the average number of minutes it takes her to run 1 mile?
A. 6
B. 10
C. 12 1/2
D. 16 2/3
E. 17 1/2
Answers
i do not know the explanation
If Katerina completes a 15-mile run in 2 1/2 hours. She will complete a mile in an average of five minutes. Option B is correct.
What is average?It is described as a single number that indicates either the closed value for each entry in the set of data or the mean value for the entire set of data.
It is given that, In 2 1/2 hours, Katerina completes a 15-mile run.
We have to find the average number of minutes it takes her to run 1 mile.
15 miles = 2 1/2 hours
15 miles=5/2 hours
The unitary approach allows us to calculate the value of a single unit and then use that value to calculate the value of the required number of units.
1 miles= 5 /30 hours
1 miles = 1/6 hours
As we know that 1 hour consists of 60 minutes.
1 hours = 60 minute
1 mile = 60 / 6 minutes
1 miles = 10 minute
Thus, the average number of minutes it takes her to run 1 mile will be 10 minutes. Option B is correct.
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Hello,Can you help me with question #56 in the photo?Thank you,
Answers
In order to calculate the total spending in the town each year, first, multiply by the 70% that is spent within the town,
[tex]\begin{gathered} \text{\$}4,000,000\times70\% \\ \text{\$}4,000,000\times0.70 \\ =\text{\$}2,800,000 \end{gathered}[/tex]Also, multiply by 70% of the amount people will spend after they receive it in town,
[tex]\begin{gathered} \text{ \$}2,800,000\times70\% \\ \text{ \$}2,800,000\times0.70 \\ =1,960,000 \end{gathered}[/tex]Answer:
The total spending in the town each year is $1,960,000
Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)
Answers
Answer:
f(1) = 15
f(-9) = -65
f(0) = 7
Step-by-step explanation:
f(1) = 8(1) + 7
f(1) = 8 + 7
f(1) = 15
f(-9) = 8(-9) + 7
f(-9) = -72 + 7
f(-9) = -65
f(0) = 8(0) + 7
f(0) = 7