Answer:
y = -8(x - 2)² + 4
I don't understand, someone please help me I am giving 100 points
Answer:
a=40
b=70
c=20
d=30
Step-by-step explanation:
50 POINTSSSSSS ASAP!!!!
Quadrilateral RUST has a vertex at T (5, 2).
An image displaying a quadrilateral RUST.The vertex of R is R of 1 comma 5.
What are the coordinates of T' after the translation (x, y) → (x – 1, y + 2), followed by a dilation by a scale factor of 2, centered at the origin?
A.
(8, 8)
B.
(6, 2)
C.
(4, 4)
D.
(10, 4)
The coordinates of T' after the transformations are given as follows:
A. T'(8,8).
How to obtain the coordinates of the image of T?The coordinates of T are given as follows:
T(5,2).
Meaning that:
It has a x-coordinate of 5.It has a y-coordinate of 2.Then the translation is given as follows:
(x, y) → (x – 1, y + 2).
Meaning that the translated coordinates are of:
T'(5 - 1, 2 + 2) = T'(4, 4).
(as one was subtracted from the x-coordinate and 2 was added to the y-coordinate).
Then the dilation by a scale factor of 2 means that each of the coordinates is multiplied by two, hence:
T'(8,8).
Meaning that option A gives the correct coordinates of the image of the vertex T of the quadrilateral.
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Answer:
8,10
Step-by-step explanation:
i took the test
Given the function of f (x) = 2|x + 6| - 4 for what values of x is f (x) = 6
Answer:
2-23x
Step-by-step explanation:
Easton went shopping for a new phone. Sales tax where he lives is 5.5%. The price of the phone is $26. Find the total price including tax. Round to the nearest cent.
The total price after the tax is given as $27.43.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The price of phone is $26.
And, the percent sales tax is 5.5%.
Now, the price of phone after tax can be calculated as,
26 + 5.5% of 26
= 26 + 5.5/100 × 26
= 27.43
Hence, the total price of the phone including tax is $27.43.
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Find m
(9x - 17)
(4x + 28)
The angle measurement of T is 80°.
What is an angle measurement?When two lines or rays intersect at a common point, an angle is formed. The common point is referred to as the vertex. An angle measure in geometry is the measurement of the angle formed by two rays or arms at a common vertex.Here given,
∠Q = (9x - 17)°
∠R = (4x + 28)°
Since ∠Q and ∠R are co-interior angles in parallel lines.
∠Q + ∠R = 180°
So,
(9x - 17) + (4x + 28) = 180°
= 9x - 17 + 4x + 28 = 180°
By adding x variables together,
13x + 11 = 180°
=> 13x = 180°-11
=> x = 169° ÷ 13
x = 13
By substituting x,
∠Q = 9 x 13 - 17
= 117 - 17
= 100°
∠Q + ∠T = 180° (angles on a straight line is 180°)
100 + ∠T = 180°
∠T = 180 - 100
∠T = 80°
Therefore the value of ∠T is 80°.
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Noah has $200.00 He spends $ 120.00 on a new coat . What percent of his money does Noah spend on his new coat.
Answer:
Step-by-step explanation:
120/200=.6(100)
=60
If the two bikes are racing a distance of 100 feet, which bike will win the race?
O Bike 2 will win because the slope of the line for Bike 2 is, which is greater than the slope of the line for Bike 1.
O Bike 2 will win because the slope of the line for Bike 2 is 5, which is greater than the slope of the line for Bike 1.
2
O Bike 1 will win because the slope of the line for Bike 1 is3, which is greater than the slope of the line for Bike 2.
O Bike 1 will win because the slope of the line for Bike 1 is , which is greater than the slope of the line for Bike 2.
If the two bikes are racing a distance of 100 feet, the bike that will win the race is: D. Bike 1 will win because the slope of the line for Bike 1 is 3/2, which is greater than the slope of the line for Bike 2.
How to calculate the slope of a straight line?Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Next, we would calculate the slope of the line representing the distance covered by each of the bikes based on the data points on their graph.
For Bike 1, the slope is given by;
Slope, m = (6 - 3)/(4 - 2)
Slope, m = 3/2
Slope, m = 1.5.
For Bike 2, the slope is given by;
Slope, m = (10 - 5)/(8 - 4)
Slope, m = 5/4
Slope, m = 1.25.
Therefore, the slope of Bike 1 is greater than the slope of Bike 2.
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If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the
fraction becomes 1.
What is the numerator of the fraction?
016
02
Answer:
Step-by-step explanation:
it all equals 4n+12=3d
[] + (9+8) = (15x9) + (15x8)
The value of the equation A + ( 9 + 8 ) = ( 15 x 9 ) + ( 15 x 8 ) is 238
where A = 238
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as = P
Now , the value of P is given by
Let the unknown variable in the equation be A
A + ( 9 + 8 ) = ( 15 x 9 ) + ( 15 x 8 )
On simplifying the equation , we get
The value of A + 17 = 135 + 120
On adding the values in the equation , we get
The value of A + 17 = 255
On subtracting 17 on both sides of the equation , we get
The value of A = 238
Therefore , the value of A is 238
Hence , The value of the equation A + ( 9 + 8 ) = ( 15 x 9 ) + ( 15 x 8 ) is 238
where A = 238
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Adrian bought 9 bags of chips for $29.25. What is the cost of a bag of chips, in dollars, if all the bags cost the same
Answer:
$3.25
Step-by-step explanation:
This is division
29.25 divided by 9
9 goes into 29.25 3 times
29.25-27=2.25
2.25 is 1/4 of 9
2.25*4=9 because 2*4=8 and .25*4=1 so 8+1=9
So the answer is 3 1/4 or $3.25
Answer
Question for me please
Answer:
y=8/11x-2
Step-by-step explanation:
in y=mx+b, the m= the slope, and the b=the y-intercept
What is the is number rounded to the
nearest hundredth.
3.2369
Answer:
3.24
Step-by-step explanation:
The Hundredth is the second decimal place
Since 6 is greater than 5, round up
select the most appropriate response. in the construction of confidence intervals, if all other quantities are unchanged, a decrease in the sample size will lead to a interval.
If all other quantities are unchanged, a decrease in the sample size will lead to a wider confidence interval.
What is a sample size?
Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.
A decrease in the sample size will lead to a wider confidence interval in the construction of confidence intervals.
In statistical inference, a confidence interval is a range of values that is estimated to contain the true value of a population parameter with a certain level of confidence. The width of the confidence interval depends on several factors, including the sample size, the level of confidence, and the variability of the data.
In general, as the sample size increases, the precision of the estimate of the population parameter improves, and the width of the confidence interval decreases. Conversely, as the sample size decreases, the precision of the estimate decreases, and the width of the confidence interval increases.
Hence, if all other quantities are unchanged, a decrease in the sample size will lead to a wider confidence interval.
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. A fixed asset is purchased for Rs.1 lac with
excepted useful life of 5 years. Its depreciated
value at the end of 3rd year will be Rs.
If it is sold for Rs.45000, the firm will make
profit/loss of Rs.
Answer:
The profit or loss on selling a fixed asset will be
Step-by-step explanation:
We know that,
Depreciation = Original value - Scrap value / Estimated life of an asset
-> 100,000 - 0/ 5
= Rs 20,000 for every year
for 3 years,
Depreciation= 3 * 20,000 = Rs 60,000
The value of the asset after 3 years of depreciation = 100,000- 60,000
=Rs 40,000 ---(1)
If it is sold for Rs 45,000 ---(2)
Profit = (2) - (1)
= 45,000-40000
= Rs 5,000
Suppose the heights of a population of male giraffes are normally distributed with an unknown population mean and a population standard deviation of 3.4 feet. A random sample of male giraffes from the population produces a sample mean height of § = 15.2 feet.
What value of z should be used to calculate a confidence interval with a 90% confidence level?
Answer:
Step-by-step explanation:
Here we have:
90% confidence level:
α=1-0.90=0.10
[tex]Z_{crit}=z_{\alpha /2}=z_{0.10/2}=1.645[/tex]
Hence the required Z value at 90% confidence level is 1.645
One hundred samples of five data points were randomly selected from each of four populations. The medians of each population's samples were plotted as shown below. Another random sample was then taken from one of the populations and recorded as follows:
{1, 20, 5, 0, 5}
From which population was this sample MOST likely selected?
A. Population A
B. Population B
C. Population C
D. Population D
The population from which the sample was most likely selected is given as follows:
A. Population A.
How to obtain the population from which the data was most likely selected?To look at the population from which the samples were most likely selected, we look at the medians for each interval.
In a box and whisker plot, the median is the middle point between the bars of the data-set.
The sample taken is given as follows:
{1, 20, 5, 0, 5}
The sample can be ordered as follows:
0,1, 5, 5 and 20.
The median of the sample is the middle term, which is of 5.
The medians for each population are given as follows, from the box and whisker plots:
Population A: 5.Population B: 10.Population C: 15.Population D: 20.Due to the median of 5, the sample was most likely taken from Population A, and the first option is correct.
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Answer:
population a
Step-by-step explanation:
PLS HELP I don’t know the answer
Answer:
18
Step-by-step explanation:
144 / 4 = 72
each side is 72
72/4 = 18
Answer: 4x = 9
Step-by-step explanation: please help with this if you can! It’s due in 15 minutes!!
Solve equation:
3 + 7(6 +2x) = 157
We move all the characters to the left:
3+7(6+2x)-(157)=0We add all the numbers and all the variables.
7(2x+6)+3-157=0We add all the numbers and all the variables.
7(2x+6)-154=0Multiply
14x+42-154=0We add all the numbers and all the variables.
14x-112=0We move all terms containing x to the left side, all other terms to the right side
14x=112x=112/14x=8Answer:
x = 8
Step-by-step explanation:
Graph a triangle ABC and perform a translation of (x + 4, y - 3) to create triangle A'B'C'.
1. Describe the transformation using words. Make sure you refer to the characteristics
and the coordinates.
2. Draw a line through points A and A' and through points B and B'. What do you
notice about the lines you drew? Do you think you would notice the same
characteristics if you drew another line through points C and C'? How do you know?
1. The translation was of 4 units right and 3 units down.
2. All the blue lines connecting the equivalent vertices will have a slope of -3/4.
What is the translation?
The translations of the triangle is given by the rule presented as follows:
(x,y) -> (x + 4, y - 3).
Hence the meaning of each of these translations is given as follows:
x -> x + 4 is a translation of four units right.y -> y - 3 is a translation of three units down.The coordinates of the original vertices are given as follows:
(0,0), (0,4), (3,0).
Then the coordinates of the translated vertices are given as follows:
(4,-3), (4,1), (7,-3).
For a linear function, the slope is given by the vertical change divided by the horizontal change.
From these translations, the changes are given as follows:
Vertical change of 3 units down, hence of -3.Horizontal change of 4 units right, hence of +4.Thus the slope of the linear function connecting the original vertices are given as follows:
m = -3/4.
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Which value of y is a solution of this inequality? 3y−4<11
Answer:
[tex]y<5[/tex]
Step-by-step explanation:
[tex]3y-4<11 \\ \\ 3y<15 \\ \\ y<5[/tex]
PLS HELP ASAP! Which statement is true about the ratios comparing the width and length of each
The paintings' width to length ratios are equal because the ratio 9 to 6 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 3 to 2 is not equal to 9 to 6.
The paintings' width to length ratios are equal because the ratio 6 to 9 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 6 to 9 is not equal to 2 to 3.
The paintings' width-to-length ratios are different because the ratio 3 to 2 is not equal to 9 to 6. The correct option is B.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
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.
The width-to-length ratios of the paintings differ because 3 to 2 is not equal to 9 to 6.
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Find the length of the third side. If necessary, round to the nearest tenth.
9. 5 I need the answer ASAP
Answer:
10.3 units------------------------
Let the missing side be x.
Use Pythagorean to find its value:
x² = 9² + 5²x² = 81 + 25x² = 106x = √106x = 10.295 ≈ 10.3 unitsDoes the point (8, 1) satisfy the inequality y
yes
no
Determine the APR.
1. Helen Olson needs an installment loan of $999.00. She must repay the loan in 24 months. The monthly
payment is $44.96.
Answer:
Based on the information you provided, it seems that Helen Olson is looking to take out a loan for $999.00 and will need to make monthly payments of $44.96 in order to repay the loan within 24 months. It is important for Helen to carefully consider the terms of the loan, including the interest rate and any fees that may be associated with the loan, to ensure that she is able to make the monthly payments and repay the loan in full within the agreed-upon time frame. It may also be helpful for Helen to create a budget and plan for how she will manage her finances to make sure she has enough money each month to make the loan payments.
Which graph correctly shows the solution to the inequality 7x - 3/9 more than or equal to 8 - 2x
x ≥ 3, the value of x is greater than or equal to 3 is the solution of inequality (7x-3)/9 ≥ 8-2x, correct option is C.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
(7x - 3)/9 more than or equal to 8 - 2x
(7x-3)/9 ≥ 8-2x
7x-3 ≥ 9(8-2x)
7x-3 ≥ 72-18x
Add 18x on both sides
7x+18x-3 ≥ 72
25x-3 ≥ 72
Add 3 on both sides
25x ≥ 75
Divide both sides by 25
x ≥ 3
Hence, x ≥ 3, the value of x is greater than or equal to 3 is the solution of inequality (7x-3)/9 ≥ 8-2x, correct option is C.
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ASAP HELPPP!!
Before he started washing windows on weekends, Rob had $20. He earned $60 over each of the first three weekends that he spent washing windows. So far, Rob has not spent any of his money.
If n represents a whole number less than or equal to 3, which function shows the total amount of money Rob had after n weekends of washing windows?
A. t(n) = 20 + 60n
B. t(n) = 60 + 20n
C. t(n) = 200n
D. t(n) = 200
Answer:
A. t(n) = 20 + 60n
Step-by-step explanation:
$20 is the money Rob had before washing windows.
He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.
n = the number of weekends
the total amount of dollars he will have is 20 + 60n
Answer:A. t(n) = 20 + 60n
Step-by-step explanation:
$20 is the money Rob had before washing windows.
He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.
n = the number of weekends
the total amount of dollars he will have is 20 + 60n
Determine which of the expressions could be used to represent the followi
Divide the difference between 96 and 72 by 12.
Select all that apply.
A. (96-72) 12
OB. 96 (72 ÷ 12)
C. (9612) 72
OD. 24 12
E. 96 ÷ 6
-
The difference between 96 and 72 by 12 can be expressed as
(96 - 72) / 12 and 24 / 12.
What is an expression?A mathematical expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all possible math operations.Monomial expressions are the most common type of algebraic expression. Expression of a binomial. Expression of a polynomial.We have to find the difference between between 96 and 72 by 12.
The difference between 96 and 72 can be expressed as,
96 -72
= 24
Next we have to divide the answer that is 24 by 12.
It becomes,
24/12
= 2
As a result, the required expressions for the following calculation is:
(96 - 72) / 12 and 24 / 12.
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At one point the average price of regular unleaded gasoline was $3.65 per gallon. Assume that the standard deviation price per gallon is $0.06 per gallon and use Chebyshev's inequality to answer the following.
(a) What percentage of gasoline stations had prices within 4 standard deviations of the mean?
(b) What percentage of gasoline stations had prices within 1.5 standard deviations of the mean? What are the gasoline prices that are within 1.5 standard deviations of the mean?
(c) What is the minimum percentage of gasoline stations that had prices between $ 3.43 and $3.83 ?
Prices at 93.75% of gasoline stations were within four standard deviations of the mean. Prices at 44.44% of gas stations were within 1.5 standard deviations of the mean. The prices within 1.5 standard deviations of the mean are $3.56 to $3.74. The minimum percentage of gasoline stations with prices between $3.43 and $3.83 is 15.46%.
Chebyshev's inequality states that the proportion of data within k standard deviations of the mean is at least 1 - 1/k² for all values of k.
(a) To find the percentage of gasoline stations with prices within 4 standard deviations of the mean, we can plug k = 4 into the formula above to get 1 - 1/4² = 1 - 1/16 = 15/16 = 93.75%.
(b) To find the percentage of gasoline stations with prices within 1.5 standard deviations of the mean, we can plug k = 1.5 into the formula above to get 1 - 1/1.5² = 1 - 1/2.25 = 4/9 = 44.44%. The prices within 1.5 standard deviations of the mean are $3.65 +/- (1.5 × 0.06) = $3.65 +/- $0.09, so the prices within 1.5 standard deviations of the mean are $3.56 to $3.74.
(c) To find the minimum percentage of gasoline stations with prices between $3.43 and $3.83, we can use Chebyshev's inequality with k = ($3.83 - $3.43)/(0.06) = 4.17. Plugging this value into the formula gives us 1 - 1/k² = 1 - 1/17.3 = 15.46%, which is the minimum percentage of gasoline stations with prices between $3.43 and $3.83.
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If you can make payments of $450 on a 5-year loan that has an APR of 6.5%,
what is the maximum loan amount you can afford?
Answer:
To determine the maximum loan amount you can afford, you need to know the amount of your monthly payment and the annual percentage rate (APR) of the loan. The APR is the interest rate of the loan, expressed as a yearly rate. It takes into account not only the interest rate, but also any fees or other charges associated with the loan.
In this case, you know that you can make monthly payments of $450 and that the APR of the loan is 6.5%. To determine the maximum loan amount you can afford, you can use the following formula:
Maximum loan amount = (Monthly payment / (APR / 100 / 12)) * (1 - (1 + (APR / 100 / 12))^-n)
where n is the number of monthly payments. In this case, you are taking out a 5-year loan, which means you will make 60 monthly payments (5 years * 12 months/year = 60 months), so n = 60. Plugging these values into the formula, we have
Maximum loan amount = ($450 / (6.5% / 100 / 12)) * (1 - (1 + (6.5% / 100 / 12))^-60)
= ($450 / 0.00542) * (1 - (1 + 0.00542)^-60)
= $83,146.54
Therefore, the maximum loan amount you can afford is $83,146.54. This is the maximum amount you can borrow, assuming that you make monthly payments of $450 and the APR of the loan is 6.5%. You should carefully consider your ability to make these monthly payments before taking out a loan of this amount.
Step-by-step explanation:
Answer: Monthly Payment: $8.80
Total Interest Paid: $78.29
Total Paid: $528.29
Step-by-step explanation:
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. 2
C. only 3
D. 1, 2, and 3
Considering the given image, we can easily spot that (B) line 2 is the line of symmetry.
What are lines of symmetry?A form or item is divided into two equal and symmetrical portions by a line of symmetry.
Because it divides the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.
Rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry are some examples of symmetries.
Planar symmetry, which refers to various types of symmetry on a flat surface, is illustrated by these four different types of symmetry.
So, according to the given image:
LIne 1 and 3 are not making the 2 identical halves of the figure.
Line 2 is making the exact identical half of the figure.
Therefore, considering the given image, we can easily spot that (B) line 2 is the line of symmetry.
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