Answer:
Slope = \(\frac{1}{2}\)
Step-by-step explanation:
Let's take two points on the line graphed for a function.
Slope of this linear function = \(\frac{\text{Rise}}{\text{Run}}\)
Between two points chosen,
Rise = Vertical distance on y-axis (Increase or decrease) from one point to the second
Run = Horizontal distance on x-axis from one point to second
Let the points on the graph are (-8, 0) and (0, 4).
Rise = 4
Run = 8
Therefore, slope of the line = \(\frac{\text{Rise}}{\text{Run}}\) = \(\frac{4}{8}\)
Slope = \(\frac{1}{2}\)
Rick has 3 bills and 4 coins in his wallet.the coins and bills total $12.35.Rick has no half-dollars.what coins and bills does Tick have?
I messed up sorry I gave you the wrong answer just ignore this
If $5.00 were invested at 3% interest 600 years ago, how much would that investment be worth today?
A piece of material measures 38 inches. Courtney cuts the piece of material into two pieces. One piece measures 19 inches. Write an addition equation that could be used to find the length, m, of the other piece of material.
Answer:
As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.
19+m=38
If you want to solve the equation, just subtract 19 from both sides.
19+m=38
m=19
please help!!
find h(8)-f(-7)
A recent survey asked 1200 randomly selected U.S. adults if they believe that the U.S. federal government is doing enough to keep U.S. elections safe from outside interference. After analyzing the results, the researchers were able to state that they are 95% confident that between 52.5% and 59.5% of all U.S. adults believe that the U.S. federal government is not doing enough to keep U.S. elections safe. Which statement BEST describes how to interpret these results
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is D
Step-by-step explanation:
From the question the question we are told that
The researchers were able to state that they are 95% confident that between 52.5% and 59.5% of all U.S. adults believe that the U.S. federal government is not doing enough to keep U.S. elections safe.
Generally a confidence interval states to what extent the chances of the true population is within the a given range
So the 95% confidence interval given in the question as 52.5% and 59.5% means that the chances of the true population mean being with this given range is 95%
So given that the the true population mean is within this range then it means that the population mean will be greater than 50%
So the statement that best describe and interprets this result is
The results show significant statistical support that most U.S. adults (over 50%) believe that the U. S. Federal government is not doing enough to keep U.S. election safe.
An item costs $350 before tax, and the sales tax is 14% .
Find the sales tax rate in percentage.
Answer: So, the sales tax on the item is $49.
Step-by-step explanation:
The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:
Sales tax amount = $350 * 14% = $350 * 0.14 = $49
So, the sales tax on the item is $49.
What is the meaning of "there exists x ∈ S ∖ m. Then m ⊊ m ∪ {x} ∈ X; a contradiction"?
The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.
The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.
The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.
Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.
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PLEASE HELP
Fill in the blanks. Then, choose the property of addition you used.
(a)3+_= 3
(Choose one)
(b)4 + 7) + _1 = 4 + (7 + 3)
(Choose one)
(c)9+8 = 8+_
(Choose one)
Fill in the blank and choose a property
Answer:
3+ 0 = 3
( 4+7) + 3.0 × 1 = 4 + (7+3)
9 + 8 = 8 + 9
There are 24 four-digit whole numbers that use each of the four digits 2, 4, 5 and 7 exactly once. Only one of these four-digit numbers is a multiple of another one. Which of the following is it?
O 5724 O 7245 O 7254 O 7425
O 7542
The average four-digit number 7254 is the only one that is a multiple of another one, as it is composed of the digits 2, 4, 5 and 7 used exactly once.
To find the four-digit number that is a multiple of another one using the digits 2, 4, 5 and 7, we can list all the possible combinations of these digits:
2457, 2475, 2547, 2574, 2745, 2754, 4257, 4275, 4527, 4572, 4725, 4752, 5247, 5274, 5427, 5472, 5724, 5742, 7245, 7254, 7425, 7452, 7524, 7542. as it is composed of the digits 2, 4, 5 and 7 used exactly once.
Next, we can check to see which of these numbers is a multiple of another one. 7254 is the only one that is a multiple of another one, as it can be divided by 2, 4, 5 and 7. Therefore, the answer is 7254.
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Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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Which multiplication expression can be used to find 3/5 divided by 7/10
Answer:
\(\frac{3}{5}\) x \(\frac{10}{7}\)
Step-by-step explanation:
Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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Miles recorded his height, in inches, from age 10 to age 18, as shown in the table. Age, x 10 11 12 13 14 15 16 17 18 Height, y 54 58 61.5 64.5 68 70 73 74 74.5 What is the square root function that best models this set of data?
Answer: Y=10.76 √(x-9.12)+43.64
Step-by-step explanation:
38165 use each digit twice,make the smallest 5 digit number.
Answer:
I am not sure, but I think
11335 could be the answer...
Which points are on the graph of a linear function? Select all that apply.
(-1, 7), (0,5), (1,3)
(-1, 1), (0, 0), (1, 1)
(0,5), (2,5), (3, 14)
(0, -3), (2, 5), (4, 13)
Answer:
Step-by-step explanation:
(-1,7), (0,5), (1,3)
and
(0,-3), (2,5), (4,13)
IF A= -35 , B = 10 , C= -5 verify that:-
a x (b+c) = a x b + a x c
Plz tell
Answer:
see below
Step-by-step explanation:
a x (b+c) = a x b + a x c
Let A= -35 , B = 10 , C= -5
-35 * ( 10 -5) = -35 *10 + -35 * -5
-35 *(5) = -350 + 175
-175 = -175
Robert's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. What does the slope of the line represent?.
The slope of the line of best fit in Robert's math class represents the relationship between a student's grade and the number of hours they study.
When Robert's math teacher plots student grades against the number of hours they study, she is creating a scatter plot on a coordinate plane.
Each point on the graph represents a student's grade and the number of hours they claim to have studied. The line of best fit is a straight line that passes as close as possible to all the data points.
The slope of this line represents the rate at which a student's grade changes as they study more hours.
Specifically, the slope tells us how much the grade changes for each unit increase in the number of hours studied.
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Determine a series of transformations that would map Figure J onto Figure K. J
Figure.
Figure
Figure J is rotated 90° clockwise and then translated by 3 units toward the right.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The translation does not change the shape and size of the geometry. But changes the location.
Figure J is rotated 90° clockwise and then translated by 3 units toward the right.
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Jason is only able to work 28 hours a week this month (at $12 an hour) so he is worried that he will be in a bind paying his bills. He has to pay
his rent ($875) and his car payment ($330) with insurance ($130). How miuch will Jason have left over at the end of the month?
Answer:
9
Step-by-step explanation:
28 x 4=112
112 x 12= 1344
1344-875-330-130=9
Answer:
he will have $9 left over
The diameter of Pilar's bike wheel is 24 inches.
How far does Pilar's bike travel when the wheel makes
10 complete rotations?
The distance Pilar's bike travel when the wheel makes 10 complete rotations is 753.6 inches
Since the wheel is circular in nature, we will take the circumference to determine the distance travelled for 1 revolution
Circumference of a circle = πr²
r is the radius of the wheel.
Given that d = 24 in, r = 24/2 = 12in
C = 2(3.14)(12)
C = 75.36 in
Hence the distance completed by 1 revolution is 75.36. If Pilar's bike makes 10 revolutions, hence the required distance will be:
D = 10 * 75.36
D = 753.6in
Hence the distance Pilar's bike travel when the wheel makes 10 complete rotations is 753.6 inches
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Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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Kate and Clare went for a bike ride through a park. They started their ride near the pond at 12:31 P.M. They finished near the basketball court at 1:30 P.M. How long did Kate and Clare ride their bikes?
Answer: 59 minutes.
Step-by-step explanation:
12:31-1:30 is 59 minutes
Solve for x.
5 = 2x - 3
Answer:
X=4
Step-by-step explanation:
Answer:
2x - 3 = 5
+3 +3
2x = 5 + 3
2x = 8
÷2 ÷2
× = 4
help
What are the solutions to the following system of equations? y = x2 + 8x + 12 3x + y = −6
The solutions for the given system of equations are (-9, 33) and(-2, 12).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).
Here, y=-6-3x in the equation (i), we get
-6-3x=x²+8x+12
x²+8x+12+6+3x=0
x²+11x+18=0
Splitting middle term method, we get
x²+9x+2x+18=0
x(x+9)+2(x+9)=0
(x+9)(x+2)=0
x=-9 or x=-2
Substitute x=-9 in the equation (ii), we get
y=-6-3(-9)
y=33
Substitute x=-2 in the equation (ii), we get
y=-6-3(-2)
y=12
So, solutions are (-9, 33) and(-2, 12)
Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).
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I need help with this homework packet
a. The probability that a yellow disk will be selected is 1 out of 5.
b. It is **likely** that a yellow disk will be randomly selected from the bag.
What is the probability that a yellow disk will be selected?a. The probability that a yellow disk will be selected can be calculated by;
P = 5 / 25
P = 1/5
The probability of randomly selecting a yellow disk is calculated by dividing the number of yellow disks by the total number of disks. In this case, there are 5 yellow disks and 25 total disks, so the probability is 5/25 = 1/5. This means that there is a 20% chance of randomly selecting a yellow disk.
b. The likelihood of randomly selecting a yellow disk is described as "likely" because the probability is greater than 1/10. A probability of 1/10 or less is considered "unlikely", while a probability of greater than 1/10 is considered "likely".
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Average rate of change question
Answer:
Step-by-step explanation:
Using the diagram in #1, which segment(s) are parallel to BC?
Answer: Segment FE
Step-by-step explanation:
never intesects with segment BC
I’m not sure how to answer this, please help!!
Answer: a= -3,0 and b= 0,18 c= -1,0 d= 3,0
Step-by-step explanation:
Btw Im a demon slayer #1 fan no one can top me
Which is the correct value of Z for the solution to true system?
2x+3y-z=4
x-3y+2z=-3
3x+y-z=5
The correct value of Z for the solution to true system is -2
How to determine the correct value of Z for the solution to true system?From the question, we have the following parameters that can be used in our computation:
2x + 3y - z = 4
x - 3y + 2z = -3
3x + y - z = 5
Transform the third equation
So we have
2x + 3y - z = 4
x - 3y + 2z = -3
9x + 3y - 3z = 15
Eliminate y in the equations by subtraction
So we have
x - 3z = 7
10x - z = 12
Multiply x - 3z = 7 by 10
10x - 30z = 70
10x - z = 12
Subtract the equations
-29z = 58
So, we have
z = -2
Hence, the correct value of Z is -2
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Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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