The given coordinates are (2,3) and (-1,5).
The value of slope can be determined as,
\(\begin{gathered} m=\frac{5-3}{-1-2} \\ =\frac{2}{-3} \\ =-\frac{2}{3} \end{gathered}\)Thus, the required value of slope is -2/3.
Complete the table. Then, explain the strategy you used to do so.
The missing values in the given table should be completed with the parameters calculated below.
How to complete the table?In order to use the given parameters to complete the table, we would have to substitute each of the values of the known parameter into the formula for speed (bracelets per hour) and then evaluate as follows;
When time = 2 and speed = 6, the number of bracelets can be calculated as follows;
Number of bracelets = speed × time
Number of bracelets = 6 × 2
Number of bracelets = 12 bracelets.
When time = 5 and speed = 6, the number of bracelets can be calculated as follows;
Number of bracelets = speed × time
Number of bracelets = 6 × 5
Number of bracelets = 30 bracelets.
When time = 7 and speed = 6, the number of bracelets can be calculated as follows;
Number of bracelets = speed × time
Number of bracelets = 6 × 7
Number of bracelets = 42 bracelets.
When number of bracelets = 66 and speed = 6, the time can be calculated as follows;
Time = number of bracelets/speed
Time = 66/6
Time = 11 hours.
When number of bracelets = 100 and speed = 6, the time can be calculated as follows;
Time = number of bracelets/speed
Time = 100/6
Time = 16.67 hours.
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At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only $3 . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get an orange and not get juice in your box?
Answer:
Step-by-step explanation:
Given that sandwiches are made with either turkey or ham.
Prob for turkey or ham = 1/2
The fruit can be either apple or orange. Hence p(apple) = p(orange) =12
Drinks can be either bottled water or juice
P(water) = P(juice) = 1/2
We find that sandwiches, fruits, and drinks are mutually independent of each other.
Hence the probability you will get an orange and not get juice in your box
Prob (you get an orange and bottled water)
= Prob (orange) *Prob (bottled water) (since the two are independent
= 1/2 (1/2)= 1/4
Hence answer is 0.25
Find the missing side. Round to the nearest tenth
Answer:
10.1
Step-by-step explanation:
we want to find the adjacent side given the opposite side
looking through SOHCAHTOA
Tan is the appropriate angle to use
Tan 62 = opposite / adjacent
1.881 = 19 / x
x = 19 / 1.881 = 10.1
One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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A dozen ears of corn are sold at the farmers market for 3.00$ what is the price per ear
Answer:
.25
Step-by-step explanation:
divide 3 by 12 get .25
If a dozen ears of corn (12 ears) cost $3, two ears of corn cost $0.50.
A dozen is a unit of quantity equal to 12 items. When you have a dozen of something, it means you have 12 of that particular item. The term "dozen" is often used to refer to a standard count of 12, and it is widely used in everyday language and commerce.
If a dozen ears of corn (12 ears) cost $3, we can find the cost of three ears by dividing the total cost by the number of ears:
Cost of 3 ears = $3 ÷ 12 = $0.25
So, three ears of corn cost $0.25.
Similarly, to find the cost of two ears, we can use the same method:
Cost of 2 ears = $3 ÷ 12 × 2 = $0.50
Thus, two ears of corn cost $0.50.
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If a dozen ears of corn cost $3, how much do three ears cost? What if you want only two?
convert 8 7/9 yard into in
Answer:
316.08 inches
Step-by-step explanation:
There are 3 feet in a yard, and there is 12 inches in 1 foot, so there are 36 inches in one yard. If there is 8 7/9 yards it is the same at 8.78 yards, and 8.78 x 36 = 316.08 inches. Therefore 8 7/9 yards = 316.08 inches.
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
Takeru is planning to paint the walls of his bedroom, which is shaped like a rectangular prism. The bedroom has 1 window and 2 doors. The dimensions of the window and doors are shown in the table. If 1 gallon of paint covers about 150 square feet, how many gallons of paint are needed to cover the walls of a room that is 20ft long, 15ft wide, and 8ft high?
The number of gallons is 4.1
How to determine the areaFrom the information given, we have that;
1 gallon of paint is equivalent to 150 square feet
Since we have 2 doors, the area of a rectangular prism is
Area = lw
Area =20(15)
Area = 300 (2) = 600 ft²
For the window, we have;
Area = 3(5) = 15
The total area of the wall is;
Total area = 615 ft²
Then, if;
1 gallon = 150 square feet
x = 615 square feet
cross multiply
x = 4. 1 gallons
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Which graph represents the function f(x) =three-halves(2)x?
Answer:
wheres the graph?
Step-by-step explanation:
Answer:
The last graph on edge 2021
Step-by-step explanation:
What are the domain and range of the function below? (In picture)
Answer:
Domain: [0 , ∞)
Range: (-∞ , 4]
Step-by-step explanation:
I) DOMAIN:For domain, look along the x axis.
The graph starts from x = 0 and it's ending point isn't given in the graph as it continues moving along the positive x axis.
Hence, it's ending point must be ∞
Domain of a function is:
[minimum point in x, maximum point in x]
=> [0, ∞)
"),(" is used for infinity.
"],[" for points that lie within the domain of the function.
II) RANGEFor range, look along the y axis.
The graph starts at y = 4, and continues moving downwards till infinity.
Range:
[minimum in y, maximum in y]
=> (-∞, 4]
For parenthesis, same rule as domain will be applied. 4 is naturally greater than all values in negative. Hence, maximum point will be 4 and minimum will be -∞.Give your simplified answer as an improper fraction.
3(x - 2) + 6 = 4(2 - x)
X =?/?
Answer:
x = 8/7
Step-by-step explanation:
3(x-2) -6 +6 = 4(2-x)
3x - 6 +6 = 8-4x
7x = 8
x = 8/7
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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Find the centroid of the triangle whose vertices are A (1, 2) B(3, 7) and C (2, 3)
The centroid of the triangle is (2,4).
Given that the triangle whose vertices are A (1, 2) B(3, 7) and C (2, 3).
The center point of the object is centroid. The intersection of the three medians of a triangle is called the centroid of the triangle. It is also defined as the intersection of the three medians.
Let the given vertices of a triangle be A(1,2) and B (3,7) let the third vertex be C (2,3)
Let the centroid be G.
Centroid=[(x₁+x₂+x₃)/3,(y₁+y₂+y₃)/3]
Here, x₁=1, x₂=3, x₃=2, y₁=2, y₂=7 and y₃=3
Now, we want to substitute the values in the formula, we get
G=[(1+3+2)/3,(2+7+3)/3]
G=[6/3,12/3]
G=[2,4]
Hence, the centroid of the triangle whose vertices are A (1, 2) B(3, 7) and C (2, 3) is (2,4).
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In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 75, 80, and 91 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79, inclusive)? Assume that all test scores have a non-negative value.
Answer:
Scores between 34 and 70 on the fourth test will give Paul a C for the semester.
Step-by-step explanation:
The average is given by the sum of all scores divided by the number of scores.
In this question:
Sum of all scores: 75 + 80 + 91 + x = 246 + x
Number of tests : 4
Grade of 70:
\(\frac{246 + x}{4} = 70\)
\(246 + x = 280\)
\(x = 280 - 246\)
\(x = 34\)
Grade of 79:
\(\frac{246 + x}{4} = 79\)
\(246 + x = 316\)
\(x = 316 - 246\)
\(x = 70\)
Scores between 34 and 70 on the fourth test will give Paul a C for the semester.
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.What is the answer to this?
Answer:
2x+1=9
Step-by-step explanation:
\(\sqrt{2x+1}+5=2\)
\(\sqrt{2x+1}=-3\)
\(2x+1=9\)
If they want you to solve, then you can go farther.
2x=8
x=4
Check for extraneous solutions:
\(\sqrt{2(4)+1} +5 = 2\)
What is 402.12÷0.01 per cubic inch?
402.12÷0.01 per cubic inch is written as \(40212 inch^{-3\) οr \(2.4538868 \times109 m^{-3\)
What dο yοu mean by cubic inch?Imperial units and US custοmary units bοth use the cubic inch as a measure οf capacity. The capacity οf a cube, which is equal tο 1/231 οf a US gallοn, has three lengths that are each οne inch lοng.
Given,
402.12÷0.01 per cubic inch
We can write the equatiοn as
40212 per cubic inch
Or \(40212/ inch{^3\)
Or, \(40212 inch^{-3\)
We knοw that 1 inch 0.0254 m
Then we can write the equatiοn as 2.4538868 × 109 m-3
Hence the cοrrect answer is \(40212 inch^{-3\) οr \(2.4538868 \times 109 m-3\)
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Which of the following tables represents a linear function?
x −4 −1 0 1 2
y −4 2 −4 0 2
x 1 1 1 1 1
y −3 −2 −1 0 1
x −6 −1 0 2 3
y −7 negative sixteen thirds −5 negative thirteen thirds −4
x −2 −1 0 2 4
y −4 negative two thirds −1 two thirds 1
The tables representing linear functions are Table 2 and Table 4.
Table 1. Since the differences are not constant, Table 1 does not represent a linear function.
Table 2. Table 2 represents a linear function.
Table 3. Since the ratios are not constant, Table 3 does not represent a linear function.
Table 4. Since the differences are constant, Table 4 represents a linear function.
A linear function is a function where the relationship between the independent variable (x) and the dependent variable (y) can be expressed as a straight line.
To determine which of the given tables represents a linear function, we need to check if the differences or ratios between the y-values are constant for the corresponding x-values.
Let's examine each table:
Table 1:
x: -4, -1, 0, 1, 2
y: -4, 2, -4, 0, 2
The differences between consecutive y-values are not constant. For example:
2 - (-4) = 6
-4 - 2 = -6
Since the differences are not constant, Table 1 does not represent a linear function.
Table 2:
x: 1, 1, 1, 1, 1
y: -3, -2, -1, 0, 1
The x-values are all the same, indicating that the y-values do not change based on the value of x.
This means that for any value of x, the corresponding y-value remains constant.
Table 2 represents a linear function.
Table 3:
x: -6, -1, 0, 2, 3
y: -7, -16/3, -5, -13/3, -4
The ratios between consecutive y-values are not constant. For example:
(-16/3) / (-7) = 16/21
(-5) / (-16/3) = 15/16
Since the ratios are not constant, Table 3 does not represent a linear function.
Table 4:
x: -2, -1, 0, 2, 4
y: -4, -2/3, -1, 2/3, 1
The differences between consecutive y-values are constant. For example:
(-2/3) - (-4) = 10/3
(-1) - (-2/3) = 1/3
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PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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Calculate the dimensions of a square with each of these areas. Show work
a) 900cm2
Answer:
30cm
Step-by-step explanation:
root 900 = 30
What is the perimeter of a square that has an area equal to 64
Answer:
P=4a=4·64=256
Find the diameter and the radius of the circle 13yd
Answer:
52
Step-by-step explanation:
This is because the formula is dr
5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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Garth's taxable income last year was $97,450. According to the tax table
below, how much tax does he have to pay if he files with the Single status?
Answer:
$21,013
Step-by-step explanation:
Please help, and explain, I don't understand!! You put $1000 into an investment yielding 6% annual interest; you left the
money in for two years. How much interest do you get at the end of those
two years?
Answer:
$120 in interest
Step-by-step explanation:
The formula for finding how much interest you get over time is this :
Principal × Rate × Time = Interest you get at the end
Principal is how much you start out with, so in this case that's $1,000.
Rate is the percent annual interest, which in this case is 6%.
Last, time, time in this case is 2 years.
I = (1000)(0.06)(2) = 120
I will get $120 in interest.
3) Write the operation used to obtain the types of solutions.
Sum:
Difference:
Product:
Quotient:
Answer:
the Sum
hope this helps
Sketch rectangle ABCD search that BC is the radius of Circle B
The ABCD rectangle with BC as the radius is:
Which expressions are less than 7/8? Choose2 answers 7/8 x 9/19 7/8 x 3/4 7/8 x 9/9 7/8 x 4/3
The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.
Let's consider each expression one by one:
7/8 x 9/19:
To compare this expression to 7/8, we multiply the fractions:
(7/8) x (9/19) = 63/152.
Since 63/152 is less than 7/8, this expression is less than 7/8.
7/8 x 3/4:
Multiplying the fractions:
(7/8) x (3/4) = 21/32.
Since 21/32 is less than 7/8, this expression is less than 7/8.
7/8 x 9/9:
The fraction 9/9 simplifies to 1, so the expression becomes:
(7/8) x 1 = 7/8.
Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.
7/8 x 4/3:
Multiplying the fractions:
(7/8) x (4/3) = 28/24.
We can simplify 28/24 to 7/6.
Since 7/6 is greater than 7/8, this expression is not less than 7/8.
Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.
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I need help I don’t understand
Answer:
D= -5, -2, 1, 2,
R= -4, 0, 3
function= yes
Step-by-step explanation:
Domain is the x coordinate of the point on the graph.
Range is the y coordinate of the point on the graph.
You just write them all out.
It is a function if it passes the vertical line test, which is where you draw a vertical line through every piont, and if the line goes thriugh more than one point, it is not a function.
What is the slope of the line?answer
Answer:
Step-by-step explanation:3/-1