Answer:
7/12
Step-by-step explanation:
4/12 + 3/12
Multiply the 2/6 by 2 and the 1/4 by 3
Answer:
Step-by-step explanation:
LCM of 6, 4 = 12
[tex]\frac{2}{6}+\frac{1}{4}=\frac{2*2}{6*2}+\frac{1*3}{4*3}\\\\=\frac{4}{12}+\frac{3}{12}\\\\=\frac{7}{12}[/tex]
f(n)=5n-10 what are the the 10th 11th and 12th term
Answer:
10th term: 40
11th term: 45
12th term: 50
Step-by-step explanation:
Substitute 10, 11 and 12 as n and solve the equation.
F(x)=-x^2 -4x -2, for this equation find the solutions, the coordinates of the vertex, and the axis of the symmetry.
Answer:
Step-by-step explanation:
hello :
Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6
the vertex is : (2 , -6)
now calculate the solutions : (x-2)²-6 =0
(x-2)²= 6 means : x-2 =√6 or x-2 = -√6
x = 2+√6 or x = 2-√6
quick help , i don’t know how to do this . can you help me please ? 20 points
Answer:
a) (3a² + 1) - (4 + 2a²) =
3a² + 1 - 4 - 2a² =
a² - 3
b) (5p² - 3) + (2p² - 3p³) =
5p² - 3 + 2p² - 3p³ =
-3p³ + 7p² - 3
c) (5a + 4) - (5a + 3) =
5a + 4 - 5a - 3 = 1
d) (9r³ + 5r² + 11r) + (-2r³ + 9r - 8r²) =
9r³ + 5r² + 11r - 2r³ + 9r - 8r² =
7r³ - 3r² + 20r
You use substitution to solve a system of equations and, after simplifying the equations, end with an expression that says 0 = 4. What does that say about the the lines and about the number of solutions to the system?
Answer:
Step-by-step explanation:
It means there is no solution and the lines are parallel. It is called an inconsistent system.
I hope this helps
The system has no solution. Thus, the lines are parallel to each other.
The system of the equation has no solution. The expression leads to the value that is 0=4, which means you concluded the final result as 0=4.
Do you think practically it is possible, never, it is not possible to equate zero with four, same in the solutions of the system in the lines, this kind of results will not be taken by the intersecting lines.
Hence, the above expression is the condition for "No Solution"
If we try to evaluate the solution of the system that has no solution or an infinite number of solutions, then the variables are canceled out and only the constant values are left that are not equal.
Therefore, The lines are parallel and the system of the equation has no solution.
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multiplication puzzle
1. 140
2. 3
3. 9
4. 7
5. 0
6. 160
7. 30
8. 70
9. 4
10. 90
If a central angle measures 87°, then its arc will measure
half as much
twice as much
the same
Answer:
Half 43.5
The same 87
Twice as much 174
Step-by-step explanation:
The arc measure is approximately [tex]\(1.518 \pi\)[/tex] times the central angle. So, it's larger. The answer is B.
To find the measure of the arc corresponding to a central angle, you can use the formula:
[tex]\[ \text{Arc measure} = \frac{\text{Central angle}}{360^\circ} \times \text{circumference of the circle} \][/tex]
Since a full circle has a circumference of [tex]\( 2\pi \)[/tex] units, and the central angle is 87 degrees, you can substitute these values into the formula:
[tex]\[ \text{Arc measure} = \frac{87^\circ}{360^\circ} \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} = \frac{87}{360} \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} \approx 0.2417 \times 2\pi \][/tex]
[tex]\[ \text{Arc measure} \approx 1.518 \pi \][/tex]
Now, compare the result to the central angle. Since the arc measure is approximately [tex]\(1.518 \pi\)[/tex], and the central angle is 87 degrees, it's clear that the arc is larger than the central angle. So the correct answer is:
B. Twice as much
Complete Question:
If a central angle measures 87degree, then its arc will measure _____.
A. half as much
B. twice as much
C. the same
Please help quickly
Answer:
y=4x
Step-by-step explanation:
First, find the slope
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
We know 2 points, (2,8) and (12,48).
(2,8) can be (x1, y1)
(12,48) can be (x2, y2)
We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in
[tex]m=\frac{48-8}{12-2}[/tex]
[tex]m=\frac{40}{10}[/tex]
m=4
Now, we can use the point slope formula, since we have a point and the slope
[tex]y-y_{1} =m(x-x_{1})[/tex]
We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in
y-8=4(x-2)
Distribute the 4
y-8=4*x-2*4
y-8=4x-8
Add 8 to both sides
y=4x
Answer:
y=4x
Step-by-step explanation:
You are given 3 points that are on this line. (0,0) which is the origin, (2,8) and (12,48)
Find the slope with (2,8) and (12,48)
Remember the slope formula:
(y2-y1) / (x2 - x1)
So:
(48 - 8) / (12 - 2)
40/10 = 4
And the y- intercept is 0 because the line goes through the origin.
So the equation is:
y=4x
Hope this helps!!
The student council is planning an activity night to raise money. The student council will charge $5 per student to attend the activity night. write an expression that can be used to calculate the amount of money collected for n number of students.
Answer:
5n
Step-by-step explanation:
They are charging 5 dollars per person and n is the number of students. You would multiply 5 by n (the number of students) to see how much money they raised.
Timothy’s mom bought 7/8 of a pound of grapes. She wants to split it between 8 kids. What fraction of the grapes will each kid get?
A. 1/8
B. 7/64
C. 9/64
Answer:
Option B
7/64
Step-by-step explanation:
Since the she bought 7/8 of a pound of grapes, the amount of grapes that Timothy's mum will be sharing is only 7/8 of a pound
Total number of kids = 6
To get the amount that each kid will get, we will have to divide 7/8 by 6
Hence we have
[tex]\frac{7}{8} \times \frac{1}{6}= \frac{7}{64}[/tex]
Hence, each child will get 7/64 of a pound of grapes, if the grapes are shared equally.
Answer:
B. 7/64
Step-by-step explanation:
Since Timothy's mom bought 7/8 of a pound of grapes, the amount of grapes that she will split between 8 kids will be:
7/8 ÷ 1/8 = 7/64
Therefore, each kid will get 7/64 of a pound of grapes, if the grapes are splitted equally.
b/7x = 9 please help find for x
Answer:
x=9b/7
Step-by-step explanation:
b(b/7x=9)
(7x=9b)/7
x=9b/7
What is 5
8 % written as a decimal?
A.
0.625
B.
0.0625
C.
0.00625
D.
0.000625
Answer:
A
Step-by-step explanation:
hope this helps:))
which equation best describes the relationship between the number of students and the number of tables
Students=N Tables= t
Students:720,Tables 18
Students:600,Tables 15
Students:960,Tables 24
a N=40t
b N=35t+90
c T=40n
d N=45t-90
Answer:
equation d
Step-by-step explanation:
The equation that best describes the relationship between the number of students and the number of tables is N = 40t. This equation can be obtained by observing the given data points and identifying the pattern. It can be verified by substituting the values of the number of students and tables.
Explanation:The equation that best describes the relationship between the number of students and the number of tables is N = 40t, where 'N' represents the number of students and 't' represents the number of tables. This equation is obtained by observing the given data points and identifying the pattern. For example, when the number of tables is 18, the number of students is 720, which can be represented as 720 = 40 * 18.
To verify this equation, let's check the other given data points. When the number of tables is 15, the number of students is 600, which can be represented as 600 = 40 * 15. Similarly, when the number of tables is 24, the number of students is 960, which can be represented as 960 = 40 * 24. Therefore, the equation N = 40t best represents the relationship between the number of students and the number of tables.
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Which net represents this solid figure?
Find the mean of 6, 9, 4, 1, 7, 3 graphically.
Answer:
[tex]5[/tex]
Step-by-step explanation:
add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
[tex] \frac{6 + 9 + 4 + 1 + 7 + 3}{6} [/tex]
[tex] \frac{30}{6} = 5[/tex]
As part of a competition Diego must spin around in a circle six times and then run to a tree. The time he spends on each spin is represented by s and the time he spends running is r. He gets to the tree 21 seconds after he starts spinning. Write an equation showing the relationship between s and r.
Answer:
6s + 2r = 21
Step-by-step explanation:
Please kindly see the attached file for explanaion
The correct equation showing the relationship between s and r is 6s + r = 21
To derive this equation, we consider the total time Diego spends on the competition, which is the sum of the time he spends spinning and the time he spends running.
Since Diego spins around in a circle six times and each spin takes time s, the total time spent spinning is 6s
After spinning, he runs to the tree, which takes time r.
Therefore, the total time from the start of the spinning until Diego reaches the tree is the sum of the time spent spinning and running.
Given that Diego reaches the tree 21 seconds after he starts spinning, we can set up the following equation to represent this relationship:
6s + r = 21
This equation states that six times the time spent on each spin plus the time spent running equals 21 seconds.
Solving this equation for either s or r would give us the time spent on each activity, provided we know the total time of 21 seconds.
If the risk-free rate is 8 percent and the market risk premium is 2 percent, what is the required return for the market?
The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM), which takes into account the risk-free rate, beta value, and market risk premium.
Explanation:The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM). The CAPM formula is:
Required Return = Risk-Free Rate + Beta * Market Risk Premium
In this case, the risk-free rate is given as 8%, and the market risk premium is given as 2%. To calculate the required return for the market, we need to know the beta value, which represents the stock's sensitivity to market movements.
Once we have the beta value, we can substitute it into the formula to find the required return for the market.
Final answer:
The required return for the market, when the risk-free rate is 8 percent and the market risk premium is 2 percent, is 10 percent according to the Capital Asset Pricing Model.
Explanation:
The student is inquiring about the concept of the required return of the market, which is a fundamental concept in finance related to the Capital Asset Pricing Model (CAPM). According to CAPM, the required return on a market portfolio (the market) is the sum of the risk-free rate and the market risk premium. In this case, with an 8 percent risk-free rate and a 2 percent market risk premium, the required return for the market would be the sum of these two figures, which equals 10 percent.
617 – 3y) + 6(y- 1)
Answer -12y+48
Answer:
vbnvbnvbnvnvbnvbnvbnvbn
Step-by-step explanation:
vbnvbnvbnvbnvbn vbn v
The amount of the discount is always ______ the original price to find the sale price.
A: Divided by
B: Multiplied by
C: Added to
D: Subtracted from
(I know this is probably so easy, but my brain is not working today)
The amount of discount is always subtracted by the original price to find the sale price.
The formula is SP=MP-Discount
for eg: If MP is $5000 and discount given is $ 1000 then we have to find SP by using the formula:SP=MP-Discount
So it results to $4000.
Hope it will help u and make u understand...
Factor the following polynomial:
5x(a-b)-2y(a-b)
Answer:
(a - b)(5x - 2y)
Step-by-step explanation:
Given
5x(a - b) - 2y(a - b) ← factor out (a - b) from each term
= (a - b)(5x - 2y) ← in factored form
The polynomial 5x(a-b)-2y(a-b) can be factored into (a-b)(5x-2y). This is achieved by taking out the common factor of (a-b) from both terms.
Explanation:To factor the polynomial
5x(a-b)-2y(a-b)
, you first notice that the terms have a common factor, (a-b). Factoring is a process where you write the expression as a product of its factors. In this case, you can pull out the common factor from both terms. This leaves you with
(a-b)(5x-2y)
. So, the factored form of the given polynomial is (a-b)(5x-2y). By applying the distributive property, you can check your work: (a-b)*5x gives the first term and (a-b)*(-2y) gives the second term, confirming the factored form is correct.
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list two iteams that could appear on a person's credit report that might hinder the person in his or her effort to get a loan to buy a boat
Answer:
1. Payment History
2. Amount of Debt he or she owes
3. Credit Age/History
4. Credit Inquiries
Step-by-step explanation:
Find length of PR. TR=x+11
Step-by-step explanation:
In a square,
we know that when diagonals bisect each other it is divided into two equal parts
so
TR = TP
So
PR = x +11 + x + 11
= 2x + 22
And
Both diagonals are equal so
QS = PR
7x - 3 = 2x + 22
7x - 2x = 22 + 3
5x = 25
x= 25 /5
x = 5
Now
PR = 2 * 5 +22= 10 +22 = 32
Answer:
PR = 34
Step-by-step explanation:
The diagonals of a square bisect each other, and are congruent, thus
QS = PR, that is
7x - 8 = x + 11 + x + 11 = 2x + 22 ( subtract 2x from both sides )
5x - 8 = 22 ( add 8 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Thus
PR = 2x + 22 = 2(6) + 22 = 12 + 22 = 34
To go to a movie, a family with 2 adults and 4 children spends $64. A family containing 1 adult and 3 children spends $42. Find the cost of an adult movie ticket and the cost of a child movie ticket.
Answer:
all work is pictured and shown
The cost of a ticket for an adult is $12 while for children it is $10.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that cost for adults is A while for children it is C
Now,
2 adults and 4 children spend $64.
2A + 4C = 64
1 adult and 3 children spend $42.
A + 3C = 42
Multiply by 2
2A + 6C = 84
By subtracting equations
6C - 4C = 84 - 64
2C = 20
C = 10
A = 42 - 3(10)
A = 12
Hence "The cost of a ticket for an adult is $12 while for children it is $10".
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In a group discussion, which option is most clearly a clarifying question?
Answer:
The answer is D What is your overall point, and how do you support it?
Step-by-step explanation:
Answer:
What are the reasons you question the author's professionalism?
Step-by-step explanation:
AP3X
Find P (Sheep | Male)
Answer: I got 2/7
Step-by-step explanation:
The required probability of the sheep being male is 2/7 or 0.286 or 28%.
Given that,
Tabulated data has been given in the image for cow, sheep, horse chicken, and pigs for their male and female frequencies.
Probability for sheep in males to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events. Probability = Favorable Events / Total outcomes
Total number of male S(n) = 14
Number of male sheep E(n) = 4
Probability for sheep in males = E(n) / S(n)
= 4 /14
= 2 / 7
Thus, the required probability of the sheep being male is 2/7 or 0.286 or 28%.
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Solve by completing the square:
x^2 + 4x - 5 = 0
Answer:
x = 1, -5
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Then, you solve for x by using this term to complete the square.
Answer:
(1, -5)
Step-by-step explanation:
x² + 4x - 5 = 0
(x - 1)(x + 5)
x - 1 = 0
x = 1
x + 5 = 0
x = -5
how do you solve this
so the right answer is -1.
Look at the attached picture⤴
Hope it will help u..
Answer:
-1
Step-by-step explanation:
p-3=-4
the figure above represents a wheel of cheddar cheese. Determine the area of cheese remaining after wedge ECG has been removed.
A A = 34.19 cm2
В. А = 68. 38cm2
с. A = 119.67cm2
d. A = 478.68cm2
Answer: 478.68cm
Step-by-step explanation:
Answer: D) A =478.68
Find ST...................................................
Solve x2 + 14x = −24 by completing the square.
What is the solution set of the equation?
Answer:
A on edgen.
Step-by-step explanation:
What is the answer to this?
Answer:
tkae j ad by f then subtracr the u then add the c then multply k then say u
Step-by-step explanation: