Answer:
0,-24,-3/4
You have to substitute the values for x and y to get the other output. When I put 0 into the equations I get back 0
What is an equation of the line that passes through the points (3,-3) and (3,-6)
Answer:
x = 3
Step-by-step explanation:
You want the equation of the line through points (3, -3) and (3, -6).
Vertical lineThe two points have the same x-value, indicating the line through them is a vertical line. That will have an equation of the form x = c.
The x-value of the given points is 3, so the equation is ...
x = 3
__
Additional comment
We note that the answer box is pre-filled with "y =". There is no "y =" equation that will go through these points. The slope is undefined, so the slope-intercept form of the equation cannot be used.
all in image, please help asap
The angle that is same side exterior angle to ∠ABC is ∠EFH.
How to find angles?When parallel line are cut by a transversal line, angle relationships are formed such as corresponding angles, vertically opposite angles, alternate angles, same interior angles, etc.
AD and EG are parallel to each other.
CH is a transversal line to the parallel lines.
Therefore, let's find the angle that has the same relationship as same side exterior angles as angle ABC.
Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles.
Same side exterior angles are supplementary.
Therefore,
∠ABC and ∠EFH are same side exterior angles.
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2x + 3x equals to 20x find the value of x.
Answer:
Here,
2x+3x=20x
or,5x=20x
or,5x-20x=0
or,15x=0(divide both sides by -15)
hence,x=0
Consider the following conjecture.
There are no prime numbers between 7,608 and 7,620
How could this statement be shown to be true or false? Would it still be a conjecture if no counterexample were found? Explain
There are no prime numbers between7,608 and 7,620
A prime number is a whole number greater than 1 whose only factors are 1 and itself
The numbers between 7608 and 7620 are:
7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619
Here we have to check these numbers are prime number or not
Prime factorization
7609=7×1087
7610=2×5×761
7611=3×43×59
7612=2×2×11×173
7613=23×331
7614=2×3×3×3×3×47
7615=5×1523
7616=2×2×2×2×2×2×7×17
7617=3×2539
7618=2×13×293
7619=19×401
Hence, proved that there are no prime numbers between7608 and 7620
Triangle QRS and its dimensions are shown.
s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.
Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle QRS?
The dimensions that represent a similar triangle to triangle QRS are given as follows:
B. 10 cm, 20 cm, 25 cm.
What are similar triangles?Similar triangles are two triangles that have the same angle measures.
These triangles will also have proportional side lengths, because of the sine/cosine/tangent relations in a right triangle and the law of sines for non-right triangles.
In this problem, we want a triangle that is similar to a triangle with the dimensions presented as follows:
s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.
Hence all these dimensions have to be multiplied by the same scale factor.
Then, option B is correct, as the ratios between the lengths are given as follows:
10/6 = 20/12 = 25/15 = 5/3.
Meaning that all sides were multiplied by 5/3.
Missing InformationThe problem is given by the image at the end of the answer.
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Answer Answer is B, thank you, I just love to help.
Step-by-step explanation:
To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?
A) The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.
B) The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.
C) The monthly payment on a bank loan would be $551.11, which is lower than the monthly credit card payment.
D) The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
Any explanation would be greatly appreciated as well! <3
The plan that would give Genesis the lowest monthly payment is D. The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
How to calculate the payment?From the information, the home improvement project that totals $16,000, and Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years.
The simple interest earned will be:
= Principal × Rate × Time / 100
= (16000 × 8 × 3)/100
= $551.11
The compound interest will be:
A = P(1 + r/n)^nt
A = accumulated amount
P = amount deposited
r = rate
n = times of compound per year
t = years
This will be:
A = 16000(1 + 0.15/12)^(12×7)
A = $540.78
Therefore the correct option is D.
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If x =-5, what is the value of 2x^+6x
2x^2+6x
2(-5)^2+6(-5)
2(25)+6(-5)
50+6(-5)
50+(-30)
50-30
20
Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday. What fraction of green shirts did Diana sell on Monday and Tuesday? 27/60 is the answer. Diana sold 2/15 of the total number of green shirts on Wednesday. What is the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday?
Answer:
your answer is [tex]27/60[/tex] and [tex]7/60[/tex]
Write a polynomial function with rational coefficients so that P(x) has given roots: -4 and 2i.
P(x) is a polynomial function having rational coefficients that has given roots is: P(x) = x³ + 2x² + 4x + 8.
Define the term roots of polynomial?The values of a variables for which the provided polynomial equals zero are referred to as the roots of a polynomial. If an is the polynomial p(x) root, then p(a) = 0.P(x) has given roots: -4 and 2i.
A radical is always preceded by a pair of plus & minus signs.
As a result, there would be another root -2i.
All of the roots are -4, -2i, + 2i.
As, the number of roots given are 3, thus the polynomial formed ill be cubic.
The roots in terms of the polynomial can be written as-
P(x) = (x - (-2))(x - 2i)(x + 2i)
P(x) = (x + 2)(x - 2i)(x + 2i)
Simplifying,
P(x) = x³ + 2x² + 4x + 8
Thus, P(x) is a polynomial function having rational coefficients that has given roots is P(x) = x³ + 2x² + 4x + 8.
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The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. What expression could you create from that problem?
Options C and E are correct. The expression can be written in the forms of
C. 10.5(12 + x) square feetE. (126 + 10.5x) square feetHow to solve for the expressionWe have the length of the room as 12 feet
The width of the room = [tex]10\frac{1}{2}[/tex] feet
The expansion of the = 12 +x
What is the area of a rectangle?
The area of a rectangle is given as lw = length x width
Hence we would have the following:
(12+x)10.5 = area
We would have to open the bracket as well
126 + 10.5x
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Complete question
1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.
A. 10.5(12x) square feet
B. (10.5 + 12 + x) square feet
C. 10.5(12 + x) square feet
D. 126x square feet
E. (126 + 10.5x) square feet
F. (22.5 + x) square feet
A carton of milk holds 10 cups. a recipe for strawberry milkshake requires 3/4 of a cup of milk. how many recipes could you make with the carton of milk.
please help me with this math problem
Find the range of values which satisfy the following:
8x-11>5 and 15(6x+2)>-150
x>
Answer: ______
The range of values that satisfy the given inequalities, 8x - 11 > 5 and 15(6x+2) > -150, is x > -2 OR x > 2
Solving Linear Inequalities: Determining range of valuesFrom the question, we are to determine the range of values which satisfy the given inequalities.
The given inequalities are
8x - 11 > 5 and 15(6x+2) > -150
To determine the range of values that satisfy the inequalities, we will solve each of the inequalities separately
Solving 8x - 11 > 5
Add 11 to both sides
8x - 11 + 11 > 5 + 11
8x > 16
Divide both sides by 8
8x/8 > 16/8
x > 2
Solving 15(6x+2) > -150
Divide both sides by 15
15(6x+2)/15 > -150/15
6x + 2 > -10
Subtract 2 from both sides
6x + 2 - 2 > -10 - 2
6x > -12
Divide both sides by 6
6x/6 > -12/6
x > -2
Putting the two solutions together,
x > -2 OR x > 2
Hence, the solution is x > -2 OR x > 2
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14 The equation u = 0. 99c shows the value of the U. S. Dollar compared to
the Canadian dollar on one particular day, where c = the value of the
Canadian dollar and u = the value of the U. S. Dollar. The table shows
the value of the U. S. Dollar compared to the Australian dollar on the
same day. Was the U. S. Dollar closer in value to the Canadian dollar or
the Australian dollar that day?
N
t
sed the
the unit
Australian Dollar
1
2
3
4
compare
U. S. Dollar
0. 95
1. 90
2. 85
3. 80
Show your work.
On that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.
Define the term comparison of numbers?In arithmetic, comparing numbers is described as the process or method of determining whether one number is smaller, bigger, or equal to some other number based on their values.The equation u = 0. 99c depicts the value of the US dollar in relation to the Canadian dollar on a specific day.
c = the Canadian dollar's valueu denotes the value of the US dollar.From the equation,
For Australian dollar; (from table)
u = 0.95 c -->
a = 1/0.95 u
a = 20/19 u
(20/19u - u)/ u = 1/19 ....1
For Canadian dollar:
u = 0. 99c
c = 1/0.99 u --> c = 100/99 u
Thus,
(100 u / 99 - u)/ u = 1/99 .....2
From 1 and 2]
1/19 > 1/99
Thus, on that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.
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is y=7-3x a linear function
Answer:
no
Step-by-step explanation:
because the equation is supposed to be y=mx+b and the x comes after slope which is after m
Answer: Yes
Step-by-step explanation:
Linear functions are functions whose graph is a straight line. The function has to be in the form y=a+bx in order to be linear. Second, for any given change in x, the change in y will always be the same value.
A train traveled at the same speed for 9 hours. It went 320.55 miles in all. To the nearest hundredth of a mile per hour, how fast was the train going?
The train's speed was= 56.7 miles per hour
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
Entire distance = 210 miles + 130 miles = 340 milesTotal time = 3.5 hours and 2.5 hours = 6 hoursAverage speed = distance/ time = 340 miles/ 6 hours= 56.66666666666 miles per hourRounding to the nearest tenth= 56.7 miles per hourHence, The train's speed was= 56.7 miles per hour
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bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?
The current age of Jenny is 6 years.
Let the current age of Phil be = x years
So the current age of Bill is = 2x years
The current age of Jenny is = 2x-2 years
Sum of their ages is = x+2x+2x-2 = 5x-2 years
Now the age of their dad is = 2(5x-2) = 10x-4 years
Now after nine years,
Age of Phil = x+9
Age of Bill = 2x+9
Age of Jenny = 2x-2+9 = 2x+7
Sum of their ages = x+9+2x+9+2x+7 = 5x+25
New age of their father = 10x-4+9 = 10x+5
According to question, the required linear equation to solve the question is,
5x+25 = 10x+5
5x = 20
x = 4
Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years
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The handle of a car jack is moved 75cm and the car is lifted 2.5 cm. What is the ideal mechnical advantage of this car
Jack?
The ideal mechanical advantage of this car Jack: 30cm
What is Ideal mechanical advantage?
The length of the effort arm of a lever divided by the length of the resistance arm represents the optimal mechanical advantage. The IMA is typically calculated as the resistance force (Fr) divided by the effort force (Fe). IMA is also equal to the product of the load's travel distance (dr) and the distance over which the effort is applied (de).
The Handle of the car jack = 75cm
The car lifted by the jack = 2.5cm
According to the formula:
Ideal mechanical advantage = The resistance force / The effort force
or, (Fr/Fe)
IMA = 75 / 2.5
IMA = 30cm
Hence, Ideal mechanical advantage of the car jack = 30cm
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To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $5.80 per hour. The math club wants to spend less than $72.20 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for .
The possible amount of time for which they could rent the meeting room is 1, 2, and 3 hours.
In the question,
It is given that,
Reservation fee is $49.
Additional fee is $5.80 per hour.
The math club can spend maximum of $72.20.
The inequality will be:
49 + 5.8*t < 72.20
5.8*t < 23.2
t < 4
Hence, the possible amount of time for which they could rent the meeting room is 1, 2, and 3 hrs.
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Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown.
6p + 3n = 18 and 2n = p
6(2n) + 3n = 18
12n + 3n = 18
15n = 18; n = $1.20
Onions cost $1.20 per pound.
Analyze the daughter’s solution. Which statements are true? Check all that apply.
The equation 2n = p should be 2p = n.
The equation 6p + 3n = 18 should be
6n + 3p = 18.
The actual cost of the onions is $3.00 per pound.
Potatoes cost $0.60 per pound.
Potatoes cost $1.50 per pound.
Potatoes cost $2.40 per pound.
The correct statements are,
(1) The equation 2n = p should be 2p = n.
(2) The actual cost of the onions is $3.00 per pound.
(3) Potatoes cost $1.50 per pound.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes.
The equation will be formed as,
6p + 3n = 18
n = 2p
Substitute the value of n = 2p in the equation,
6p + 3(2p) = 18
6p + 6p = 18
12p = 18
p = $1.5
The cost of an onion is,
n = 2p
n = 1.5 x 2
n = $3
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What is the distance from the origin to point P graphed on the complex plane below?
The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]
Given,
In the question;
From the figure,
To find the distance from the origin to point P graphed on the complex plane .
Now, According to the question:
To see the graph,
The point P lie on the x- axis and y - axis .
x = 2 and y = -5
We know the formula of distance,
Distance (d) = [tex]\sqrt{x^{2} +y^2}[/tex]
d = [tex]\sqrt{2^2 + (-5)^2}[/tex]
d = [tex]\sqrt{4 + 25}[/tex]
d = [tex]\sqrt{29}[/tex]
Hence, The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]
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"6 more than 7 times the amount of 10"
Answer: 76
Step-by-step explanation:
Based on the given conditions, formulate: 6+10*7
Calculate the product or quotient: 6+70
Calculate the sum or difference: 76
on
de)
yi
19 Dados los siguientes pares de medidas, explica en cada caso cuál es más precisa y justifica
tus elecciones.
34 cm ± 0.10 cm
14
14.8 cm
22.8 +0.1 cm
34 cm ± 0.12 cm
14.85 cm
6.2 + 0.1 cm
Answer: no clue
Step-by-step explanation: i don't know Spanish lol
lee went shopping with $60.50 . he bought 5 boxes of blue berries and 3 watermelons and had $16.50 left each watermelon cost $8.30
Assuming the question is : "how much does 1 box of blueberries cost?"
After he bought 5 boxes of blueberries and 3 watermelons, he was left with $16.50
Therefore, 5 boxes of blueberries and 3 watermelons cost $60.50 - $16.50 = $44
We are given the cost of 1 watermelon is $8.30
Therefore, 3 watermelons cost $8.30 x 3 = $24.90.
-> 5 boxes of blueberries cost $44 - $24.90 = $19.10
-> 1 box of blueberries cost $19.10 : 5 = $3.82
Answer:
If your trying to find the total of the 5 boxes of blue berries the answer is
$19.10
Step-by-step explanation:
60.50 - 16.50 = 44$ meaning he spent that much.
8.30 x 3 = 24.9
19.10 + 24.9 = 44
hope this helps
One has a face value of $32.50, and one has a face value of $26.50. He uses a coupon and gets both tickets at One-fourth off. If he pays with a $50 bill, how much change should Tamir receive?
The change that Tamir would have to receive would be: $5.75
How to solve for the changeWe would first have to solve for the total amount of the tickets that Tamir has received
This would be given as
32.5 + 26.5 dollars
= 59 dollars
Given that he has a 1/4 off in both of the tickets the amount that he would have to pay would be
59 - 1/4 * 59
59 - 14.75
= $44.25
This is the amount that he would have to pay for the coupons.
Given that he used a $50 bill, we would have to solve for his change.
This would be solved as $50 - $44.25
= 5.75
Hence his change is going to be $5.75
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a publisher reports that 45% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 300 found that 37% of the readers owned a particular make of car. determine the p-value of the test statistic. round your answer to four decimal places.
The test statistic's p-value is -2.785.
According to A publisher, 45% of its readers own a particular make of car.
Claim: An executive in marketing would like to test the claim that the percentage is different from what is reported.
[tex]H_{o}[/tex]: p = 0.45
[tex]H_{a}[/tex]: p ≠ 0.45
a random sample of 300 found that 37% of the readers owned a particular make of car.
= 37% × 300
= (37 ÷ 100) × 300
X = 111
n= 300
One sample proportion test should be used.
p-vector = x ÷ n,
p-vector = 111 ÷ 300
p-vector = 0.37
The test statistic's formula,
= [tex]\frac{p-q}{\sqrt{\frac{pq}{n} } }[/tex]
test statistic = [tex]\frac{0.37- 0.45}{\sqrt{\frac{0.45(1-0.45)}{300} } }[/tex]
≈ -2.7851
thus, the p-value of the test statistic is -2.7851.
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Find the ratio of men to women in a bowling league containing 12 men and 8 women. Write in lowest terms
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Divide the top and bottom on the fraction by 4
Jayce is a taxi driver.
M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.
What does the statement M(10) = K mean?
Choose 1 answer:
A
Jayce's fee for his Kth drive is equal to $10.
(B)
Jayce's fee for his 10th drive is equal to K dollars.
The correct answer is C. Jayce's fee for his 10th drive is equal to K dollars.
Based on the mentioned statements, n refers to the number of drives in a certain day. Additionally, it is mentioned that M(n) models the fee in dollars. As is seen in the equation, M(n) is equal to K. Thus, the fee in dollars is K dollars.
Now, as n is ten, thus the drive is tenth. And the fees for tenth drive is K dollars. So, the third option is correct, which states that Jayce's fee for his tenth drive is equal to K dollars.
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Slope:
Y-intercept
Equation:
y-intercept: (0,60)
This is given in the table.
Slope: [tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Using (1,50) and (2,40):
[tex]m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10[/tex]
The slope is -10.
Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:
y = -10x + 60
a high school statistics class wants to estimate the average number of chocolate chips in a generic brand of chocolate chip cookies. they collect a random sample of cookies, count the chips in each cookie, and calculate a 95% confidence interval for the average number of chips per cookie (18.6 to 21.3). which interpretation of the 95% confidence interval is valid?
Answer:
Step-by-step explanation: