Answer:
\(a^4b^{-5}\text{ or }\frac{a^4}{b^5}\)
Step-by-step explanation:
\(\displaystyle \frac{a^2b^{-3}}{a^{-2}b^2}=a^{2-(-2)}b^{-3-2}=a^4b^{-5}=\frac{a^4}{b^5}\)
HELPP PLEASSEEE I’LL GIVE U 100 POINTS
Answer:
i think about 2 to 5
Step-by-step explanation:
i said i think
4x-9y+7x-3y-8x
.......
Answer:
3x-12y
Step-by-step explanation:
4x-9y+7x-3y-8x
group like terms
4x+7x-8x
11x-8x
=3x
-9y-3y
=-12y
combine terms
==3x-12y
Hope this helps! :)
A friend of yours bought a new sports car with a $5,000 down payment plus a $28,000 car loan that is financed at an interest rate of 0.50% per month for 60 months. a. Calculate the required monthly loan payment on the car. b. How much does your friend still owe on the car loan immediately after she makes the 24 th monthly payment? c. If, after the 24th payment, she decides to pay $100 more each month, how many months will it take her to payoff the remaining loan she owes? a. The required monthly payment is (Round to the nearest cent.) b. Your friend still owes $ on the car loan. (Round to the nearest dollar.) c. It will take her months (Round-up to the nearest month)
(a) the required monthly loan payment on the car is approximately $528.23, (b)your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment, (c)it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.
(a) The required monthly loan payment on the car can be calculated using the formula for the monthly payment on a loan. Given a car loan of $28,000, financed at an interest rate of 0.50% per month for 60 months, the monthly payment can be determined using the following formula:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Plugging in the values, we have:
Monthly Payment = (28000 * 0.005) / (1 - (1 + 0.005)^(-60))
Calculating this, the required monthly loan payment on the car is approximately $528.23.
(b) After making the 24th monthly payment, your friend still owes a remaining balance on the car loan. To calculate this, we need to determine the remaining balance based on the number of payments made and the original loan amount. We can use the formula:
Remaining Balance = Loan Amount * (1 + Monthly Interest Rate)^Number of Payments - (Monthly Payment * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate)
Plugging in the values, we have:
Remaining Balance = 28000 * (1 + 0.005)^24 - (528.23 * ((1 + 0.005)^24 - 1) / 0.005)
Calculating this, your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment.
(c) If your friend decides to pay $100 more each month after the 24th payment, we can calculate the number of months it will take her to pay off the remaining loan balance. Using the increased monthly payment, we can calculate the new remaining balance and divide it by the increased monthly payment to determine the number of months needed to pay off the loan.
New Remaining Balance = Remaining Balance - (Monthly Payment + Additional Monthly Payment) * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate
Number of Months = New Remaining Balance / (Monthly Payment + Additional Monthly Payment)
Plugging in the values, we have:
New Remaining Balance = 17,833.86 - (528.23 + 100) * ((1 + 0.005)^x - 1) / 0.005
Number of Months = New Remaining Balance / (528.23 + 100)
By solving the equation, it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.
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i need help right now plz
Answer:
C.)
Step-by-step explanation:
The top number is what you must multiply
whereas the number below is what numbers you add.
thus -5,-5 is the answer
Answer:
C
Step-by-step explanation:
I think is referring to the question
What 2 numbers multiply gives us 26 and add up to -10?
that will be C because
-5 * -5 = 25
-5 + -5 = -10
Find the product.
−32⋅4⋅12(10−8)
Enter your answer as a number, like this: 42
Answer:
-3072
Step-by-step explanation:
-32(4)(12)(10-8)
-32(4)(12)(2)
-128(12)(2)
-3072
How much
was it check out the photo and please awnser i really need it for my exam And thank you
Answer:
She would need at least 11 buses leaving 17 spare seats.
Step-by-step explanation:
171+22+13= 206
206/20= 10.3
10.3 = 11
Ple help me with Problems 2 & 3 ASAP
2) w = 16.5 mis the equation represents the relationship shown in the table.
3) The number of minutes is proportional to the number of pages, with a unit rate of 2.25 minutes per page is the best statement describes the relationship in the table.
How is a proportion determined?When determining if two ratios or fractions are equivalent, the proportion formula is utilized. We can calculate the missing value by dividing the given values. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, a:b::c: d = a/b = c/d.
2) Divide the number of gallons of water with number of minutes
66/4 = 16.5
So, the equation represents the relationship shown in the table is
w = 16.5 m
3) Divide number of minutes by number of pages, we get
9/4 = 2.25
13.5/6 = 2.25
So, option (B) best describes the relationship in the table.
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help can you help me I need your help please help me solve that I would really appreciate it
The factor form of the quadratic equations are listed below:
Case 13: (b - 4) · (b - 2)
Case 14: (n + 4) · (n + 2)
Case 15: 2 · (n + 9) · (n - 6)
Case 16: 5 · (n + 2)²
Case 17: 2 · (k + 5) · (k + 6)
Case 18: (a - 10) · (a + 9)
Case 19: (p + 10) · (p + 1)
Case 20: 5 · (v - 2) · (v - 4)
Case 21: 2 · (p + 2) · (p - 1)
Case 22: 4 · (v - 2) · (v + 1)
Case 23: (x - 10) · (x - 15)
Case 24: (v - 5) · (v - 2)
Case 25: (p + 6) · (p - 3)
Case 26: 6 · (v + 10) · (v + 1)
How to factor a quadratic equation
In this problem we find quadratic equations of the form a · x² + b · x + c, whose factor form is introduced below:
a · x² + b · x + c = a · x² + a · (- r₁ - r₂) · x + a · r₁ · r₂ = a · (x - r₁) · (x - r₂)
Where r₁, r₂ are real roots.
Now we proceed to present the factor form of each quadratic equation:
Case 13
b² - 6 · b + 8 = (b - 4) · (b - 2)
Case 14
n² + 6 · n + 8 = (n + 4) · (n + 2)
Case 15
2 · n² + 6 · n - 108 = 2 · (n² + 3 · n - 54) = 2 · (n + 9) · (n - 6)
Case 16
5 · n² + 10 · n + 20 = 5 · (n² + 2 · n + 4) = 5 · (n + 2)²
Case 17
2 · k² + 22 · k + 60 = 2 · (k² + 11 · k + 30) = 2 · (k + 5) · (k + 6)
Case 18
a² - a - 90 = (a - 10) · (a + 9)
Case 19
p² + 11 · p + 10 = (p + 10) · (p + 1)
Case 20
5 · v² - 30 · v + 40 = 5 · (v² - 6 · v + 8) = 5 · (v - 2) · (v - 4)
Case 21
2 · p² + 2 · p - 4 = 2 · (p² + p - 2) = 2 · (p + 2) · (p - 1)
Case 22
4 · v² - 4 · v - 8 = 4 · (v² - v - 2) = 4 · (v - 2) · (v + 1)
Case 23
x² - 15 · x + 50 = (x - 10) · (x - 15)
Case 24
v² - 7 · v + 10 = (v - 5) · (v - 2)
Case 25
p² + 3 · p - 18 = (p + 6) · (p - 3)
Case 26
6 · v² + 66 · v + 60 = 6 · (v² + 11 · v + 10) = 6 · (v + 10) · (v + 1)
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what is the probability of randomly selecting three americans from a group of 8 italians and 5 americans? enter your answer as a fraction.
The overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143
Probability of selecting first American = number of Americans / total number of people= 5 / (5 + 8)= 5 / 13
Probability of selecting the second American = number of Americans / total number of remaining people after selecting the first American
= 4 / 12 (as there will be 12 people remaining after selecting the first American, which includes 4 Americans and 8 Italians)
Probability of selecting the third American = number of Americans / total number of remaining people after selecting the first and second American
= 3 / 11 (as there will be 11 people remaining after selecting the first and second American, which includes 3 Americans and 8 Italians)
Therefore, the overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143
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A soma de dois números consecutivos é 11, qual expressão algébrica representa este contexto? * 1 ponto a) X + X + 1 = 11 b) X + X = 11 c) X + X – 1 = 11 d) X + 1 = 11
Answer:
a) X + X + 1 = 11
Step-by-step explanation:
Em matemática, a soma de consecutivos é expressa matematicamente como:
X + (X + 1) + (X + 2) + (X + 3) .............
Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11
Portanto, esta expressão algébrica é dada como:
X + (X + 1) = 11
X + X + 1 = 11
Portanto, a opção a) X + X + 1 = 11 é a opção correta
Which set of side lengths form a right triangle?
Responses
7 cm, 8 cm, 10 cm
7 cm, 8 cm, 10 cm
3 ft, 6 ft, 5 ft
3 ft, 6 ft, 5 ft
10 in., 41 in., 40 in.
10 in., 41 in., 40 in.
15 m, 20 m, 25 m
Answer:
Here is the correct answer:
15 m, 20 m, 25 m
y=109x
y=79x+2506
can some one solve both equations and a graph would be helpful plz
Answer:
x ≈ 83.533
y = 9105.13
Step-by-step explanation:
Step 1: Substitution
109x = 79x + 2506
30x = 2506
x = 83.533
Step 2: Plug x in
y = 109(83.533)
y = 9105.13
Graphically:
What is the y value of the solution to the system of equations 3x 5y 17x 4y − 13?.
So, the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.
To find the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13, we can use one of the methods for solving systems of equations, such as substitution, elimination, or graphing. In this case, we will use elimination method.
The first step of elimination method is to eliminate one of the variables by adding or subtracting the equations. In this case, we will multiply the first equation by 4 and the second equation by -3 and add them:
4(3x + 5y) = 4(17)
12x + 20y = 68
-3(4x + 4y) = -3(-13)
-12x - 12y = 39
then we can add these two equations:
12x + 20y = 68
-12x - 12y = 39
0 = 29
This is an impossible equation, which means that the system has no solution.
Therefore, the y value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.
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If m∠AED = 35°, what is m∠ABC?
The measure of angle ABC is given as follows:
m < ABC = 145º.
What are supplementary angles?Two angles are defined as supplementary angles when the sum of their measures is of 180º.
In a parallelogram, we have that the opposite angles are supplementary.
The opposite angles for this problem are given as follows:
<AED.<ABC.Hence the measure of angle ABC is given as follows:
m < ABC + 35º = 180º.
m < ABC = 145º.
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help asap if you can pls an thank u!!!!!!!
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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Jim and Krutika win some money and share it in the ratio 3:1. Jim gets £40 more than Krutika. How much did they get altogether?
Answer:
54.1
Step-by-step explanation:
Please help please help
The question is in the image! Please help if u can its due really soon
Answer:
5.4
Step-by-step explanation:
3x+38=10x
-3x -3x
38=7x
x=5.4
Brainliest pleaseeeeeee
Answer:
Angle LMO = 50°
Step-by-step explanation:
1) We need to solve for x.
We know angle LMN = 90°, and that angles LMO and NMO add up to angle LMN. That gives us this equation:
3x + 38 + 10x = 90
Now, we solve for x!
Combine like terms
13x + 38 = 90
Subtract 38 from both sides
13x = 52
Divide both sides by 13
x = 4
Now we know what x is.
2) Plug in x to angle LMO's given value (3x + 38)
3(4) + 38 = angle LMO
12 + 38 = angle LMO
50° = angle LMO
What happens to momentum when objects stick together.
The perimeter of a rectangular garden is 306 feet. If the length of the garden is 99 feet, what is its width?
feet
Х
5
?
Answer:
The width of the garden is 99 feet.
Step-by-step explanation:
Given: The perimeter is 306 ft.
Given: the length of the garden is 99 ft.
Step 1: Because the garden is rectangular and so 2 of its sides are the lengths, we must multiply 99 by 2. 99x2=108.
Step 2: To find out the 2 remaining sides of the garden (the widths), we must subtract the perimeter by the lengths. 306-108=198.
Step 3: Because there are 2 sides which are the widths, we know that they are each equal and add up to 198. To find out how long the width is, we must divide the 2 widths by 2. 198/2=99.
So, the width of the garden is 99 feet.
I need help with my last 2 problems
Answer:
19)2862 is how old the grecian pottery thing is
20)1260 calories in the whole bread
Step-by-step explanation:
954x3=2862
210x6=1260
can i get brainliest plzzzz
a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.
Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:
x = 69.5 + (1.04 * 9.5) ≈ 79.58
Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.
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Low Carb Diet Supplement, Inc., has two divisions. Division A has a profit of $230,000 on sales of $2,120,000. Division B is able to make only $34,700 on sales of $381,000.
Compute the profit margins (return on sales) for each division. (Input your answers as a percent rounded to 2 decimal places.)
Division A= ______%
Division B= ______%
___________________________________________________________________________________________________________________________________________________
Polly Esther Dress Shops Inc. can open a new store that will do an annual sales volume of $1,220,400. It will turn over its assets 2.7 times per year. The profit margin on sales will be 7 percent.
What would net income and return on assets (investment) be for the year? (Input your return on assets answer as a percent rounded to 2 decimal places.)
Net Income=
Return on Assets= __________ %
The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.
To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.
For Division A:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($230,000 / $2,120,000) * 100
Profit Margin ≈ 10.85%
For Division B:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($34,700 / $381,000) * 100
Profit Margin ≈ 9.11%
To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.
Net Income = Profit Margin * Sales
Net Income = 7% * $1,220,400
Net Income = $85,428
Return on Assets = Profit Margin * Asset Turnover
Return on Assets = 7% * 2.7
Return on Assets = 18.9%
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PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Find the difference between your wet bulb and dry bulb temperatures. Round the value to the nearest whole number. Use this value and your average dry bulb temperature in Celsius (round up or down to the nearest temperature) to determine the relative humidity using the chart below.
Relative Humidity (%)
Dry Bulb Temperature(°C)
Difference of Wet Bulb and Dry Bulb Temperatures(°C)
Answer:
20 degrees
Step-by-step explanation:
Answer:
20 degrees
Step-by-step explanation:
I got help from my teacher.
which measurement gives you the difference between the points on the scatterplot and the prediction line for the same value of x?
A. Slope
B. Intercept
C. Residual
D. Correlation coefficient
The measurement that gives you the difference between the points on the scatterplot and the prediction line for the same value of x is the residual. Therefore, the correct answer is C. Residual.
In regression analysis, the residual represents the vertical distance between the observed data points and the corresponding predicted values on the regression line. It is calculated by taking the difference between the actual observed value and the predicted value for a specific value of the independent variable (x). The residuals provide a measure of how well the regression line fits the data, with smaller residuals indicating a better fit.
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select all the equations that have the same solution as the equation 3x - 12 = 24
A: 15x - 60 =120
B: 3x=12
C: 3x = 36
D: x - 4 = 8
E: 12x - 12 =24
The equations that have the same solutions are
15x - 60 = 120
3x = 36
x - 4 = 8
Options A, B, and D
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
3x - 12 = 24
Add 12 on both sides.
3x = 24 + 12
3x = 36
Divide both sides by 3.
x = 12
The solution for 3x - 12 = 24 is 12.
Now,
15x - 60 = 120
15x = 120 + 60
15x = 180
x = 180/15
x = 12 _____(1)
3x = 12
x = 12/3
x = 4 ______(2)
3x = 36
x = 36/3
x = 12 ______(3)
x - 4 = 8
x = 8 + 4
x = 12 ______(4)
12x - 12 = 24
12x = 24 + 12
12x = 36
x = 36/2
x = 19 ______(5)
From (1), (2), (3), (4), and (5) we see that,
15x - 60 =120, 3x = 36, and x - 4 = 8 has the same solution as 3x - 12 = 24.
Thus,
The equations that have the same solutions are
15x - 60 = 120
3x = 36
x - 4 = 8
Options A, B, and D
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how do sociologists know if the sample they are using is representative? a. if the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.
No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.
Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.
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The complete question is;
How do sociologists know if the sample they are using is representative?
a. If the people in the sample freely volunteered to serve as representatives
b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
c. If the sample has the same mix of people, in the same proportions, as the population being studied
d. If the participants have been interviewed to reveal possible bias.
A 3-yard roll of aluminum foil costs $1.71. What is the price per foot?
Answer:
.19 ¢
Step-by-step explanation:
1.) Multiply
There are 3 feet in one yard. And there are 3 yards. So,
3 x 3 = 9
2.) Divide
1.71 ÷ 9 = .19
3.) Check answer
.19 x 9 = 1.71
So it cost .19¢ per foot.
Hope this helps you out : )
What is 21x=7 simplify
Answer:
x = 7/21 = 1/3
Step-by-step explanation:
try more examples
What is an obtuse angle?
Answer: An obtuse angle is an angle that measures between 90 and 180 degrees. An obtuse angle is wider than a right angle but narrower than a straight angle.
Step-by-step explanation:
Answer:
Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°: Zero angle is an angle measured equal to 0°: Complementary angles are angles whose measures have a sum equal to 90°: Supplementary angles are angles whose measures have a sum equal to 180°.