Answer:
Step-by-step explanation:
-2 2
3(2) -3(2)
How do you know whether a relation is a function?(1 point)
1. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.
2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
3. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly two elements of the range.
4. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.
Answer:
2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.Step-by-step explanation:
A function is a special relationship where each input has a single output.Answer options, incorrect statements are underlined below:
1. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.
Incorrect.2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
Correct.3. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly two elements of the range.
Incorrect.4. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.
IncorrectAnswer:
2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
Step-by-step explanation:
A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point.
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
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The length of a new rectangular playing field is 7 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 414 yards, what are its dimensions:
The width is yards.
The length is yards.
A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 35 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 55.
Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)
Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)
Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)
PLEASE ONLY ANSWER IF YOU KNOW WHAT IT IS!!
"The box plot tells us about the lower limit, first quartile, median, third quartile, and upper limit.
Step-by-step explanation:
Box plot:
It displays the five-number summary of a set of data. The five-number summary is the lower limit, first quartile, median, third quartile, and upper limit. We draw a box in a box plot from the first quartile to the third quartile. A vertical line goes through the box which represents the median. Anything that lies beyond the upper limit or the lower limit is know as an outlier.
From the information given, we can say that:
The left-most point on the plot is 20 and the right-most point is 95 which means 20 and 95 are the lower and upper limit respectively. The box is labeled 35 on the left edge and 60 on the right edge which means 35 is the first quartile and 60 is the the third quartile. A vertical line is drawn inside the rectangle at the point 55 which means 55 is the median of given data. We cannot know about the mean of data with the given information."
(this is kind of an answer, I hope it's helpful)
The other prson is right, give them brainliest!
The correct mix for a batch of concrete is 6:3:2 in terms of sand, gravel and cement. The batch is to have 3300 pounds of these ingredients. How many of each are needed?
pounds of sand
pounds of gravel
pounds of cement
Answer:
1,800 lbs of sand
900 lbs of gravel
600 lbs of cement
Step-by-step explanation: 11*300=3,300. 300*6=1,800, 300*3=900, and 300*2=600. This is correct because if you add 1,800+900+600 you get 3,300.
2. Graph the following equation: y = - 1/2 x + 4
Answer:
Step-by-step explanation:
y = (-1/2)x + 4 is the equation of a straight line with y-intercept (0, 4) and slope -1/2.
To graph this, first plot the y-intercept (0, 4).
Recall that slope m = rise / run, and notice that the slope in this particular case is -1/2 = rise / run, or rise = -1 and run = 2.
Starting with your pencil point on (0, 4), move the point 2 units to the right (run = 2), arriving at (2, 4). Next, move your pencil point 1 unit down, to (2, 3).
Draw a straight line through (0, 4) and (2, 3).
Question 1
Which statement describes the basis for the proof that vertical angles are congruent?
А
Two adjacent angles are always supplementary
B.
Two adjacent angles that form a linear pair are congruent.
с
Two angles that are each supplementary to a third angle are congruent.
D
Two angles that are each complementary to a third angle are congruent.
Answer:
C
Step-by-step explanation:
On each linear pair, there is one of the Vertical angles and an angle shared between the two angles. This means we can use the fact that supplements of the same angle are congruent.
The basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".
What are vertical angles?Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.
In the provided figure.
∠1 + ∠2 = 180 degrees ( linear pair of angles)...(i)
∠ 1 + ∠4 = 180 degrees ( linear pair of angles)...(ii)
According to transitive property, if a = b and b = c then a = c
Therefore,
∠1 + ∠2 = ∠1 + ∠4...(iii)
⇒∠2 = ∠4
Similarly, we can prove that
∠1 = ∠3
Therefore, we conclude that vertically opposite angles are always equal.
Hence, the basis for the proof vertical angles are congruent is " two angles that are each supplementary to a third angle are congruent".
Thus, statement c is correct.
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P=x-2 ÷ x+1 for what value of x is P undefined
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x.
x-y-2z=4 (1)
-x+3y-z=8 (2)
-2x-y-4z=-1 (3)
What is the new 2 × 2 system?
a) 2y – 3z = 12 –3y – 8z = 7
b) 2y – 3z = 12 –3y + 8z = 7
c) 2y – 3z = 12 –2y – 6z = 3
The new 2 × 2 system of equation is
2y – 3z = 12
–3y – 8z = 7
What are linear equations ?
If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0) then ax + by + cz = r is called a linear equation in three variables. (The “three variables” are the x, the y, and the z.) The numbers a, b, and c are called the coefficients of the equation.
How do you solve linear equations with 3 variables?
Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method.
Given Equations:
x-y-2z=4 ............(1)
-x+3y-z=8 ..........(2)
-2x-y-4z=-1 ........(3)
Given Condition 1: use equation (1) with equation (2) to eliminate x
According to the condition,
x-y-2z=4 ........(1)
-x+3y-z=8 ......(2)
On adding (1) and (2), we get
(1-1)x +(-1+3)y +(-1-2)z = 4+8
2y - 3z = 12
Given Condition 2: use equation (1) with equation (3) to eliminate x
x-y-2z=4 .......(1)
-2x-y-4z=-1 ..(3)
on multiplying (1) both the sides with 2 , we get
2x - 2y -4z = 8
On adding with (3), we get
2x - 2y -2z = 8
-2x-y-4z=-1
-3y - 8z = 7
Thus, The new 2 × 2 system of equation is
2y – 3z = 12
–3y – 8z = 7
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Which answer is the explict rule for the sequence? 12.5,11,9.5,8,6.5,5,...
Answer:
12.5, 11, 9.5, 8, 6.5, 5, ... 4. an = 14 − 1.5n
Step-by-step explanation:
solve for missing variable.
Answer:
k=6
Step-by-step explanation:
11-9=2
2*3=6
k=6
Hope this helps!
Find the area and perimeter of the figure below
Answer:
p ≈ 97 cm
a = 390 cm²
Step-by-step explanation:
First figure out the missing lengths
The triangle on the right is a standard 9 - 12 - 15 right triangle
The triangle in the left is a right isosceles triangle so the sides are both the same 12cm. The hypotenuse is found using c² = a² + b² and is approx 17 cm
--------------------------
perimeter
p ≈ 12 + 22 + 9 + 15 + 22 + 17
p ≈ 97 cm
Area
a = left triangle + rectangle + right triangle
a = (1/2)(12*12) + (12*22) + (1/2)(9*12)
a = 390 cm²
Compute the probabilites given the following probability distribution:
Your answers should be exact decimal values.
The probability of x being equal to 2 is
The probability of x being more than 2 is
Compute P(x ≤ 2).
x P(x)
1 0.52
2 0.13
3 0.24
4 0.11
The probability of x being equal to 2 is 0.13
The probability of x being more than 2 is 0.35
The probability of x ≤ 2 is 0.65
How to find the probability of x being equal to 2?To compute the probabilities using the given probability distribution, we can refer to the provided values for each value of x.
From the table, the probability of x being equal to 2 is 0.13.
The probability of x being more than 2 can be computed by adding the probabilities of x = 3 and x = 4:
P(x > 2) = P(x = 3) + P(x = 4)
P(x > 2) = 0.24 + 0.11
P(x > 2) = 0.35
To compute P(x ≤ 2), add the probabilities of x = 1 and x = 2:
P(x ≤ 2) = P(x = 1) + P(x = 2)
P(x ≤ 2) = 0.52 + 0.13
P(x ≤ 2) = 0.65
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1 inch equals 2.54 cm how many inches long is 45.72 centimeters
Answer:
18 inches equals 45.72 centimeters
Step-by-step explanation:
\(1/2.54 = 0.39\\0.39*45.72=18\)
16-18 help please !!!!!!
Answer:
not sure but -2
Step-by-step explanation: I did on calculator
c) Assume that the sample points in each interval are right endpoints. Find the following sample points:x 1 = 0∘x 2 =08x 3=0 8
Each interval's sample points are at the right ends. sample points :x 1 = 0∘x 2 =08x 3=0 8 is 0°, 8°, 16°
Since the sample points in each interval are right endpoints, we need to find the points that are 8° apart.
The first sample point x1 is 0°. To find the next two sample points, we need to add 8° to the first sample point.
Therefore, the second sample point x2 = 8°, and the third sample point x3 = 16°.
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3 to 2 if there are 120 children who like pizza, how many total
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
George spent $109.65 for a radio, which was 43% of his savings. How much did he have in savings before
he purchased the radio?
Enter your answer in number form only. Do not attach a label.
The savings before he purchased the radio is
What is the percentage?A percentage is a figure or ratio that can be stated as a fraction of 100.
If we need to determine the percentage of the given number, we divide the number by its whole number and multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given cost of radio = $109.65
and $109.65 is 43% of his savings,
let saving be x
according to conditions,
43% of x = 109.65
43x/100 = 109.65
43x = 109.65 × 100
x = 10965/43
x = $255
Hence the saving of George is $255.
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HELP DUE LATER TODAY:The temperature outside dropped 13°F in 6 hours. The final temperature was -4°F. What
was the starting temperature?
Answer:the answer is 9
Step-by-step
If you subtract 13 by 4 it’s 9
what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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When interpreted, the figures of the delivery times of the pizza shops shows that D. The means are nearly equal, but the variation is significantly greater for the second shop than for the first.
What do the delivery times mean ?This means that, on average, the second pizza shop delivers pizzas slightly faster than the first shop. However, the delivery times for the first shop are more consistent (less variable) than the second shop.
The standard deviation for the first shop (4 minutes) is much lower than the second shop (21 minutes), indicating that the delivery times for the first shop are clustered closely around the mean delivery time, whereas the delivery times for the second shop are more spread out. If delivery time is the only consideration, one may prefer the first shop as it has more consistent delivery times.
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A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.
It would be 13.50 because 50% off of 18$ is 9$ but it’s not 50% off itS 25% off so If you take the 50% Off price of 9$ and add 4.50 (One more 1/4th) you get $13.50
Solving for Unknown Angles
Lines x and y are parallel.
Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.
Use the diagram to determine the measure of the unknown angle.
m∠1 = (6x + 8)°
m∠1 = 74°
What is the value of x?
What is the measure of ∠2?
(7x - 2)° + m∠2 = 106°
m∠2 =
°
Answer:
x=11
Step-by-step explanation:
x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,
the measure of 2 is 7(11)-2+m=106.
so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108
now you do 7(11)= 77, and you subtract from both sides and get 31.
therefore, m=31.
hope this helps!
Answer:
x=11
Step-by-step explanation:
What is – 10 + (-3/4)?
HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
Answer:
26
Step-by-step explanation:
One leg measures 7.
One leg measures 8.
a² + b² = c²
7² + 8² = c²
c² = √113 = 10.630 = 11
perimeter = 7 + 8 + 11
perimeter = 26
(SAT Prep) Find the value of x.
Answer: 36˚
Step-by-step explanation:
180 - 3x = 2x
180 = 5x
.: x = 36˚
Heather made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads
cost a total of $12.40, how much did each pendant cost?
Answer:
$2.80
Step-by-step explanation:
23.60 - 12.40 = 11.2
11.2 ÷ 4 = 2.80
$2.80
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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The measures of the angles of a triangle are shown in the figure below. Solve for x. (2x+6)° 42°
A triangle is a shape that has a total angle of 180°.
How to solve the triangle?It's important to note that a triangle is a shape that has three sides and the total sum is equal to 180°.
In this case, we have 2x + 6 and 42°. The other angle isn't given and this can't be solved further
The sides will have been illustrated as:
= a + b + c = 180
The expression given will then be allocated for each side to solve it further.
Note that an overview was given as the information is incomplete.
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