The statement that correctly describes the graph is Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. The correct option is c.
What is a linear equation?
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the two points are (0, 900) and (800, 10). Then the slope of the line is given as,
m = (900 - 800) / (0 - 10)
m = - 100 / 10
m = - 10 dollars per hour
Then the equation is given as,
y = - 10x + 900
Therefore, the correct option is C. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.
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( n + 8 ) + ( n - 12 )
Answer:
2n-4
Step-by-step explanation:
The owner of a flower shop sells 18 roses gor 90$ what is the cost in dollars per rose
Answer:
$5
Step-by-step explanation:
divide 90 by 18
please brainiest
Jack ran a total of 30 miles over the course of 15 track practices. How many track practices would it take for Jack to run 44 miles? Solve using unit rates.
My brain isn’t functioning and i need this done before December 21.
Answer:
22
Step-by-step explanation:
Use a proportion.
30/15 = 44/x
30x = 15 × 44
2x = 44
x = 22
Answer:
22
Step-by-step explanation:
30 miles/ 15 sessions of tract practice
Per practice Jack is running a total of 2 miles.
So 44 miles/2 miles
22 sessions of track practice
Which is the range for the function shown in the graph below?
All real numbers for
x
All real numbers for
y
x≤
2
y≥
3
The range of the function shown in the graph is the set of all real numbers for y.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
The set of input values in the function is called domain and the set of output values are called range of the function.
So the range of the function will be the set of y values.
From the graph, it is clear that, the curve is passing corresponding to every y value.
In other words, if we draw a horizontal lines from curve, all the y values are touching the curve.
So the range is the set of all real numbers.
Hence the range is all the real numbers for y.
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Mariko has a bedroom wall that is shaped like a trapezoid with a height of 8 ft, a top base of 10 ft, and a bottom base of 13 ft. in the middle of this wall is a circular window whose radius is 2 ft. what is the area of the wall without the window? use 3.14 for pi. enter your answer as a decimal in the box. ft²
Answer:
79.44 ft²
Step-by-step explanation:
Area (wall)
Area (trapezoid) - Area (circle)1/2 x (10 + 13) x 8 - 3.14 x 2²4 x 23 - 12.5692 - 12.5679.44 ft²use what you know about prisms to describe a pentagonal prism. include information about faces, edges, and vertices in your description.
The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.
A pentagonal prism is a prism with five rectangular sides and two top and bottom pentagonal bases. With 7 faces, 10 vertices, and 15 edges, it is a particular form of heptahedron. A pentagonal prism can have five sides due to its pentagonal bases. The pentagonal prism is also called Five-sided polygon prism in other name.
The pentagonal prism is a prism with five rectangular sides and two pentagonal base
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Answer:
The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.
Step-by-step explanation:
hope this helped!
X+Y=17 and XY=164 find the vale of X and Y
There are no real values for X and Y that satisfy the given equations X + Y = 17 and XY = 164.
To find the values of X and Y in the given equations, we can use a system of equations approach.
Let's start by solving the first equation, X + Y = 17, for one variable in terms of the other. We can choose to solve for X:
X = 17 - Y
Now, substitute this expression for X in the second equation, XY = 164:
(17 - Y)Y = 164
Expanding the equation gives us:
17Y - Y^2 = 164
Rearranging the equation to a quadratic form, we have:
Y^2 - 17Y + 164 = 0
To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:
Y = (-(-17) ± √((-17)^2 - 4(1)(164))) / (2(1))
Simplifying further:
Y = (17 ± √(289 - 656)) / 2
Y = (17 ± √(-367)) / 2
Since the expression under the square root is negative, there are no real solutions for Y. This means that there are no real values for X and Y that satisfy both equations simultaneously.
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f(x)=(x^3-14x^2+56x-64)
Find rational zeros
Answer:
(x - 2) • (x - 4) • (x - 8)
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 1 • 8 = 8
Step-2 : Find two factors of 8 whose sum equals the coefficient of the middle term, which is -6 .
-8 + -1 = -9
-4 + -2 = -6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -2
x2 - 4x - 2x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
2 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-4)
Which is the desired factorization
solve for x. 5 - 5x ≤ 15
Answer:
Step-by-step explanation:
cual es la respuestaaa
Answer:
48
Step-by-step explanation:
a² - 16 a = 8
8² - 16
= 64 - 16
= 48
-3=z-8
Help me solve this equation
Answer: 5 = z
Step-by-step explanation: You just need to isolate z to find out what it is equal to. So you simply just add 8 from both sides and z is equal to 5.
or, -3=z-8
or, -3+8=z
or, z=5 Ans.
how to solve this question:(
Answer:30.57 cm squared
Step-by-step explanation:
I don't know how to do whatever this is
Answer: y values in order: 2, 1, 0.5
Step-by-step explanation:
Just take the x values and put them in place of the x in the above equation.
As for -1, you're flipping 0.5 over to a fraction of 1/0.5, which equals 2, so that's the first y value.
*This is because any negative exponent gets the number in the denominator with 1 in the numerator, then the denominator can change depending on the value of the exponent
For 0, anything to the power of 0 is 1, so that's the second y value.
And then for 1, the number doesn't change, so just put 0.5 in the third y-value.
Also I see it says for you to sketch a graph, in this case the picture I have showing is what the graph would look like
Hope this helps at least :)
A specific type of dwarfism is a genetically inherited recessive trait. based upon this pedigree. What is the probability that max and natalie will have another affected daughter?
The probability of an event that has two possible outcomes is 1/2
What is Probability?This refers to the likelihood of an event occurring and this can be found by calculating using a mathematical model.
It should be noted that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
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Find four consecutive odd integers such that if the sum of the first and fourth is multiplied by three, the result
is 12 less than four times the third.
Answer:
-7, -5, -3, -1
Step-by-step explanation:
Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:
\(3(x + x + 6) = 4(x + 4) - 12\)
\(3(2x + 6) = 4(x + 4) - 12\)
\(6x + 18 = 4x + 16 - 12\)
\(6x + 18 = 4x + 4\)
\(2x = - 14\)
\(x = - 7\)
So the four consecutive odd integers are -7, -5, -3, and -1.
Sebastian's Bagel Shop recorded how many bagels it recently sold in each flavor.
plain bagels 6
onion bagels 6
poppy seed bagels 4
What is the experimental probability that the next bagel sold will be a poppy seed bagel?
Write your answer as a fraction or whole number.
P(poppy seed bagel)
The required experimental probability of the next bagel sold being a poppy seed bagel is 1/4 or 0.25.
The experimental probability of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.
In this case, the number of times a poppy seed bagel was sold is 4, and the total number of bagels sold is 16 (6 plain + 6 onions + 4 poppy seed).
The experimental probability of the next bagel sold being a poppy seed bagel is:
P(poppy seed bagel) = number of poppy seed bagels sold / total number of bagels sold
= 4 / 16
= 1/4
Therefore, the experimental probability of the next bagel sold being a poppy seed bagel is 1/4 or 0.25.
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how to find absolute maximum and minimum on a graph
The absolute maximum is the highest point on the graph, while the absolute minimum is the lowest point.
To find the absolute maximum and minimum on a graph, we follow these steps:
1. Identify the critical points: These are the points where the derivative of the function is zero or does not exist. Critical points can occur at the endpoints of the interval as well.
2. Evaluate the function at the critical points: Plug in the x-values of the critical points into the function to obtain the corresponding y-values.
3. Determine the y-values at the endpoints: Evaluate the function at the endpoints of the interval under consideration.
4. Compare the y-values: Compare the y-values obtained from steps 2 and 3. The highest y-value corresponds to the absolute maximum, and the lowest y-value corresponds to the absolute minimum.
It is important to note that the above steps assume that the function is continuous over the interval being considered. If the function is not continuous, the concept of absolute maximum and minimum may not apply.
Additionally, it is crucial to check for any local maximum or minimum within the interval to ensure that the identified points are indeed the absolute maximum and minimum on the graph.
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PLEASE HELP! there’s a photo attached as well
Select the reason why these triangles are similar. If they are not, select "Not similar."
60°
60°
A. Not similar
C. AA
B. SSS
D. SAS
SAS Is the reason why these triangles are similar. If they are not, select "Not similar".
What is SAS?SAS (Side-Angle-Side) is a theorem in geometry that states that if two sides and the included angle of one triangle are equal to two sides and the included angle of a second triangle, then the two triangles are congruent. It is commonly used to prove the equality of two triangles and is one of the five postulates of Euclidean geometry.
The two triangles are similar because they both have two equal angles of 60°. This is known as the Side-Angle-Side (SAS) similarity criterion, which states that two triangles are similar if two angles of one triangle are equal to two angles of the other triangle and the sides including those angles are proportional.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A. 314 in^3
Step-by-step explanation:
To solve the volume of a cone:
\(v = \pi r^2\frac{h}{3}\)
melanie uses up pencils at an incredible rate, 14 pencils every 4/9 of an hour. How many pencils does she use up per hour? Show your work
ANSWER
Melanie uses 31 and a half pencils per hour
EXPLANATION
If she uses 14 pencils in 4/9 of an hour, we want to find how many pencils does she use in 1 hour:
\(1\times(14\colon\frac{4}{9})=14\colon\frac{4}{9}=14\times\frac{9}{4}=\frac{126}{4}=\frac{63}{2}=31\frac{1}{2}\)The population of the city of Peachwood is currently 12,000 and
increases every year at a rate of 5%. The function that describes the
model is g(f) = 12000 1.05* Which of the following choices would
be the number of people in the city after 1 year?
A.$12,000
B. $12,600
C.$14,100
D.None of the choices are correct.
Answer:
D.None of the above are correcr
Step-by-step explanation:
if the population of peachwood increases by 5% every year then after 1 year 5 percent of 12,000 would be added to 12,000 and 5 percent of 12,000 is 600 so the answer would be 12,600
Option B is the correct Answer and $12600 people are in the city after 1 year.
Given the population of peachwood=12000
The rate that increases per year is given as 5%
We are given the function that g(f) = 12000 * 1.05x is considered as equation(1)
Here x in f(x) defines the number of years that passed in the city of Peachwood
so x value is considered as 1
The f(x) is the total population of Peachwood these are two key elements in this function
Now substitute the x value in equation (1)
Therefore after 1 year, the equation would be
f(x)=12000*1.05x
f(1)=12000*1.05(1)
g(f)=$126000
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Question 4
Indicate the answer choice that best completes the statement or answers the question,
Triangle XYZ has vertices X(4,2), Y(4,4), and Z(0, 2).
13
У
Y(4.4)
16
7
18
19
2 (0,24
X(4,2)
10
X
What are the coordinates of the image of point Y after a reflection over the y-axis?
Oa. Y'(4.4)
Ob. Y(4,-4)
Oc. Y'(-4,4)
Od. Y(0,2)
Answer:
The answer is (0, 2)
Step-by-step explanation:
Ive also had this question and viewed iver it and said it was right this was some time ago but im glad to help :)
Simplify
2x + x + x + 2y x 3yx y
Answer ?
Answer:
4x + 6y ...y cube
like y square y cube y3
Answer:
4x + 6y^3
Step-by-step explanation:
2x + x +x + 2y x 3y x y
4x + 6y^3
Let X be a set. Let P be a set of subsets of X such that: • Ø∉P • the union of all sets AEP is X. Note that these are clauses (a) and (c) of the definition of a partition (Definition 1.5). Now define a relation R on the set X by R={(x,y):x∈A and y ∈ A for some A ∈ P), as in Theorem 1.7(b). Which of the following is true? Select one: a. R must be symmetric and transitive but might not be reflexive. b. R must be an equivalence relation, but ( [x]_R : x∈X) might not be equal to P. C. R must be reflexive and transitive but might not be symmetric. d. R must be an equivalence relation, and ( [x]_R: x∈X) must equal P. e. R must be reflexive and symmetric but might not be transitive.
The following statement (d) "R must be an equivalence relation, and ([x]_R: x∈X) must equal P." is true
The relation R defined as R={(x,y):x∈A and y∈A for some A∈P} is an equivalence relation.
1. Reflexivity: Since the set P does not contain the empty set, Ø∉P, for any element x∈X, there exists a set A∈P such that x∈A. Therefore, (x,x)∈R for all x∈X, making R reflexive.
2. Symmetry: Let (x,y)∈R, which means there exists a set A∈P such that x∈A and y∈A. Since A is a subset of X, it follows that y∈A and x∈A as well. Hence, (y,x)∈R, and R is symmetric.
3. Transitivity: Let (x,y)∈R and (y,z)∈R, which means there exist sets A and B in P such that x∈A, y∈A, y∈B, and z∈B. Since the union of all sets in P is X, the union of A and B is also a set in P. Thus, x∈A∪B, and z∈A∪B. Therefore, (x,z)∈R, and R is transitive.
Since R is reflexive, symmetric, and transitive, it satisfies the properties of an equivalence relation.
Additionally, the equivalence classes ([x]_R: x∈X) of R are equal to the set P. Each equivalence class [x]_R represents a subset of X that contains all elements y∈X such that (x,y)∈R. In this case, for each x∈X, the corresponding equivalence class [x]_R is the set A∈P such that x∈A.
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Twice Jack's age plus 5 is 21. Write and solve an equation. How old is Jack? Responses A32 B88 C52 D13
One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job
Answer:
20 hrs
Step-by-step explanation:
t = third worker
1 / ( 1/20 + 1/15 + 1/t) = 6
1 = 6/20 + 6/15 + 6/t
3/10 = 6/t
t = 20 hrs
The distance s that an object falls varies directly with the square of the time, t, of the fall. If an object falls 16 feet in one second, how long will it take for it to fall 48 feet?
It will take approximately 1.73 seconds for the object to fall 48 feet.
To solve this problem, we can use the concept of direct variation, which states that the distance (s) an object falls varies directly with the square of the time (t) of the fall.
Mathematically, this can be expressed as \(s = kt^2,\) where k is the constant of variation.
Given that the object falls 16 feet in one second, we can substitute these values into the equation to find the value of k.
So, we have \(16 = k\times 1^2,\) which simplifies to 16 = k.
Now, we can use the value of k to find the time it takes for the object to fall 48 feet. Let's denote this time as t2.
Using the equation again, we have \(48 = k \times t2^2.\)
To solve for t2, we can rearrange the equation as \(t2^2 = 48/k\) and then take the square root of both sides to get t2 = √(48/k).
Since we found earlier that k = 16, we can substitute this value into the equation to calculate t2.
Therefore, t2 = √(48/16) = √3 = approximately 1.73 seconds.
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5. A hot air balloon rises 475 feet. It then descends 137 feet. Find the elevation of the hot air
balloon, assuming its journey started at sea level.
[A] 612 ft
[B] -137 ft
[C] 274 ft
[D] 338 ft
Answer:
338ft.
Step-by-step explanation:
it starts at 0 then rises 475 feet. Then it descends 137 feet which would leave it at 338 feet.
if two lines begin parallel but later diverge, the geometry is
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.
Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.
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Triangle PQR: Angle A is (x + 4) degrees. Angle B is (3y + 7) degrees. Angle P is (3x - 14) degrees. Angle Q is (5y - 13). What is the measure of Angle C?
Answer:
130 degrees
Step-by-step explanation: