Help me please with this answer
PLEASE QUICK!!!
Complete this activity. Include all of your work in your final answer. Submit your solution.
Given: f(x) = x^2 + 2x + 1, find f(x + h) and simplify.
Step-by-step explanation:
To find f(x + h), we substitute x + h for x in the function f(x):
f(x + h) = (x + h)^2 + 2(x + h) + 1
Now we simplify by expanding the square:
f(x + h) = x^2 + 2hx + h^2 + 2x + 2h + 1
We can combine like terms to simplify this expression:
f(x + h) = x^2 + (2h + 2)x + (h^2 + 2h + 1)
Therefore, f(x + h) = x^2 + (2h + 2)x + (h^2 + 2h + 1).
Answer:
[tex]f(x+h) = x^2 + 2xh + h^2 + 2x+2h + 1[/tex]
Step-by-step explanation:
In this question, we have to plug (x + h) into the given function and simplify.
[tex]f(x) = x^2 + 2x + 1[/tex]
↓ replacing all instances of x with (x + h)
[tex]f(x+h) = (x+h)^2 + 2(x+h) + 1[/tex]
↓ expanding the quadratic term (x + h)²
[tex]f(x+h) = (x^2 + 2xh + h^2) + 2(x+h) + 1[/tex]
↓ applying the distributive property ... [tex]2(x+h) = 2x + 2h[/tex]
[tex]\boxed{f(x+h) = x^2 + 2xh + h^2 + 2x+2h + 1}[/tex]
No further simplification can be done.
Which research method involves collecting data repeatedly on the same person as he or she ages?
a. correlational
b. longitudinal
c. cross-sectional
d. cross-sequential
The research method that involves collecting data repeatedly on the same person as he or she ages is longitudinal.
Longitudinal research involves studying the same group of individuals over an extended period of time, typically years or even decades. This type of research allows researchers to collect data on changes in behavior, attitudes, or health outcomes over time, and can provide valuable information on the effects of age, development, or life events on these outcomes. Longitudinal research can be especially useful in studying developmental processes, as it allows researchers to track changes in individuals as they grow and develop.
However, longitudinal studies can also be expensive and time-consuming, as researchers must track and collect data from the same group of individuals over many years, and there is a risk of attrition or drop-out over time.
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Air New Zealand’s first flight from Auckland to Sydney took nine hours. Today it usually takes about three hours. Find the percentage decrease in flight time between the first flight time and now?
The percentage decrease in flight time between Air New Zealand's first flight from Auckland to Sydney, which took nine hours, and the current flight time of about three hours can be calculated. The percentage decrease represents the reduction in flight time as a proportion of the original flight time.
To calculate the percentage decrease, we first need to find the difference in flight time between the first flight and the current flight. The difference is obtained by subtracting the current flight time from the original flight time: 9 hours - 3 hours = 6 hours.
Next, we calculate the percentage decrease by dividing the difference in flight time by the original flight time and multiplying by 100:
Percentage decrease = (6 hours / 9 hours) * 100 = 66.67%
Therefore, there has been a 66.67% decrease in flight time between Air New Zealand's first flight from Auckland to Sydney and the current flight time. This represents a significant reduction in the time it takes to complete the journey.
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An Animal shelter has fixed expenses of $750. Each animal in the shelter costs an additional $6 a week. During the summer months, the total weekly expenses are at least $1170. Write and solve an inequality that represents the number of animals at the shelter for expenses to be at least $1170 a week. (Please explain how you got the answer)
The inequality that represents the number of animals at the shelter for expenses to be at least $1170 a week is x ≥ 70.
To solve this problem, we need to start by setting up an equation that represents the total weekly expenses of the animal shelter. Let's call the number of animals in the shelter "x".
The fixed expenses are $750, and each animal costs an additional $6 per week, so the total weekly expenses can be represented by the equation:
Total Weekly Expenses = $750 + $6x
We also know that during the summer months, the total weekly expenses are at least $1170. So, we can set up an inequality to represent this:
$750 + $6x ≥ $1170
To solve for x, we can start by subtracting $750 from both sides of the inequality:
$6x ≥ $420
Then, we can divide both sides by $6 to isolate x:
x ≥ 70
This means that there must be at least 70 animals in the shelter for the total weekly expenses to be at least $1170.
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If the height of a rectangular prism is cut in half, which of the following statements would be true?
The volume would be divided by 1/2
1/2 would be added to the volume.
The volume would be multiplied by 1/2
1/2 would be subtracted from the volume.
Recruitment Costs
Interview Costs
Job Posting fee
1st year fee
Real Estate Fee
Shipping fee
Family travel cost
A. $43,600
C. $47,600
$2,000 per person
$1,000
10%
6% of sales price
$4,000
$400 per person
A company hires
an employee with a family
of 5 for a salary of $130,000
over 2 other candidates. If
the employee sold her
house for $360,000, what is
the total recruiting
expense?
B. $46,000
D. $45,600
The total recruiting expense is $91,200 which includes Recruitment Cost, Interview Costs, Job Posting fee, Family travel cost and more
The total recruiting expense would be:
Recruitment Costs: $43,600
Interview Costs: $2,000 x 3
= $6,000
Job Posting fee: $1,000
1st year fee: 10% x $130,000
= $13,000
Real Estate Fee: 6% x $360,000
= $21,600
Shipping fee: $4,000
Family travel cost: $400 x 5
= $2,000
Total = $43,600 + $6,000 + $1,000 + $13,000 + $21,600 + $4,000 + $2,000
= $91,200
Hence, the total recruiting expense is $91,200
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a meteorologist wishes to estimate the nitrogen dioxide content of air per unit volume in a certain area. it is known from studies that the standard deviation is 2 parts per million (ppm). how many air samples must the meteorologist analyze to be 80% certain that the error of estimate does not exceed 0.2 ppm?
The meteorologist needs to analyze approximately 164 air samples to be 80% certain that the error of estimate does not exceed 0.2 ppm.
A meteorologist aiming to estimate the nitrogen dioxide content in the air needs to consider the standard deviation and desired level of certainty. In this case, the known standard deviation is 2 ppm, and the desired certainty is 80%, with an error of estimate not exceeding 0.2 ppm.
To calculate the number of air samples needed, the meteorologist can use the formula:
n = (Z * σ / E)^2
Here, n represents the required sample size, Z is the z-score corresponding to the desired certainty level (80%), σ is the standard deviation (2 ppm), and E is the margin of error (0.2 ppm).
For 80% certainty, the z-score is approximately 1.28. Plugging the values into the formula, we get:
n = (1.28 * 2 / 0.2)^2 = (12.8)^2 ≈ 164
Thus, the meteorologist needs to analyze approximately 164 air samples to be 80% certain that the error of estimate does not exceed 0.2 ppm.
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Let R be the region in the first quadrant bounded by the graphs of y = sqrt of x and y = x/3
a. Find the area of R
b. Find the volume of the solid generated when R is rotated about the vertical line x = -1
c. The region R is the base of a solid. For this solid, the cross sections perpendicular to the y-axis are squares. Find the volume of the solid.
c) the volume of the solid is 243/28 cubic units.
a. To find the area of R, we need to determine the points of intersection of the graphs y = sqrt(x) and y = x/3 in the first quadrant.
Setting sqrt(x) = x/3, we get x = 9/4. So, the region R is bounded by x = 0, x = 9/4, y = sqrt(x), and y = x/3.
Thus, the area of R is given by the integral:
∫[0,9/4] [sqrt(x) - x/3] dx
= [2/3 x^(3/2) - 1/6 x^2] evaluated from 0 to 9/4
= (2/3)(9/2)^(3/2) - (1/6)(9/4)
= 3√2 - 3/8
Therefore, the area of R is 3√2 - 3/8 square units.
b. To find the volume of the solid generated when R is rotated about the vertical line x = -1, we use the disk method. Each disk has a radius equal to the distance from x = -1 to the curve, and a thickness of dx.
The distance from x = -1 to y = sqrt(x) is 1 + sqrt(x), and the distance from x = -1 to y = x/3 is 1 + 3y. So, the volume of the solid is given by the integral:
∫[0,9/4] π[(1 + sqrt(x))^2 - (1 + 3x)^2] dx
= π ∫[0,9/4] (2sqrt(x) - 8x - 8sqrt(x)x) dx
= π [(4/3)x^(3/2) - 4x^2 - 4/3 x^(5/2)] evaluated from 0 to 9/4
= (16/3)π - (81/2)π/5 + (64/15)π
= (152π/15) - (81π/10)
= 19π/30
Therefore, the volume of the solid generated when R is rotated about the vertical line x = -1 is 19π/30 cubic units.
c. Since the cross sections perpendicular to the y-axis are squares, the area of each cross section is equal to the square of the corresponding value of y. So, the volume of the solid can be found by integrating the area of each cross section with respect to y.
The height of each cross section is given by the difference between the y-coordinates of the curves y = sqrt(x) and y = x/3 at a given value of y.
Thus, the volume of the solid is given by the integral:
∫[0,3] y^2 [sqrt(y) - y/3]^2 dy
= ∫[0,3] y^(5/2) - 2y^(7/2)/3 + y^3/9 dy
= [2/7 y^(7/2) - 4/27 y^(9/2) + 1/12 y^4] evaluated from 0 to 3
= (54/7) - (324/27) + (81/4)
= 54/7 - 36/1 + 81/4
= 243/28
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Multiply –8m(–6m – 7).
–14m2 – 15m.
48m2 + 56m.
–14m – 15.
48m + 56
Answer:
48m^2 + 56m
Step-by-step explanation:
-8m(-6m - 7)
Use the distributive property. (-8m*-6m & -8m*-7)
-8m*-6m = 48m^2
-8m*-7 = 56m
48m^2 + 56m
Solve x^2-2=2x using the graph of the function f(x)=x^2
There are no points where the graph of f(x) = x² intersects the line y = x - 2, and the equation has no real solutions.
To solve x² - 2 = 2x using the graph of the function f(x) = x² we can start by rewriting the equation as x^2 - 2x - 2 = 0.
Then, we can graph the function f(x) = x² and find the points where the graph intersects the line y = x - 2.
These points correspond to the solutions of the equation x² - 2x - 2 = 0.
We can then use the quadratic formula to solve for x:
x = (-(-1) ± √((-1)² - 4(1)(2))) / (2(1))
x = (1 ± √(-7)) / 2
Since the discriminant is negative, there are no real solutions to the equation x² - 2 = 2x.
Therefore, there are no points where the graph of f(x) = x² intersects the line y = x - 2, and the equation has no real solutions.
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Part D
At least how many mosaic squares does the artist need to cover the sculpture?
Select the correct answer from the drop-down menu.
She will need at least
tiles.
15,862
22,743
1,586,200
2,274,300
The sculpture's dimensions or the size of the mosaic tiles, it's not possible to determine the exact number of tiles needed to cover the sculpture.
The number of tiles required depends on factors such as the size of the sculpture, the desired level of detail, and the size of the individual mosaic tiles.
To calculate the minimum number of tiles needed, we would need to know the surface area of the sculpture and the surface area covered by each tile.
The surface area of the sculpture could be approximated by breaking it down into smaller geometric shapes and summing up their individual areas. Then, by dividing the sculpture's surface area by the area covered by each tile, we could estimate the minimum number of tiles required.
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A spirit banner for a pep rally has the shape of a triangle. The base of the banner
is 8 feet and the height is 6 feet. Find the area of the banner.
The area of the banner is 24 square feet.
We have,
Since the spirit spanner is in the form of a triangle.
We can use the area of a triangle to calculate the area of the banner.
The area of a triangle is given by the formula:
Area = (1/2) x base x height
Substituting the given values.
Area = (1/2) x 8 feet x 6 feet
Area = 24 square feet
Therefore,
The area of the banner is 24 square feet.
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Jacob works a job where the money he earns varies directly to the hours he works. In one week, Jacob worked for 15 hours and made $146.26. how many hours did Jacob work in his second week if he earned $117?
Answer: How many hours did Jacob work in his second week if he earned $117?
Step-by-step explanation:
We can start by setting up a proportion to relate the number of hours worked to the amount earned:
hours worked / amount earned = constant of proportionality
Let's call the constant of proportionality "k". Then we have:
15 / 146.26 = k
Solving for k, we get:
k = 9.75
Now we can use this value of k to find the number of hours Jacob worked in his second week:
117 / 9.75 = 12
Therefore, Jacob worked 12 hours in his second week if he earned $117.
{Hope This Helped! :)}
please help me, I don't understand this...
Answer:
Down below
Step-by-step explanation:
2)(-6,3)
where h=-6&k=3
(x-h)²+(y-k)²=R²
(x-(-3)²+(y-6)²=11²
(x+3)²+(y²-6²)=11²
3)(x-3)²+(y+4)²=25
(x-h)²+(y-k)²=R²
h=3
k=-4
(
C(3,-4)
4)(x+1)²+(y-6)²=361
(x-h)²+(y-k)²=R²
R²=361
√R²=√361
R=19
Help me please??????
The mean absolute deviation of the given data set, 94, 86, 95, 99, 88, 90, is 4
The values differ from the mean by an average of 4.
Calculating the mean absolute deviationFrom the question, we are to calculate the mean absolute deviation of the given data
The given data
94, 86, 95, 99, 88, 90
To calculate the mean absolute deviation of the given data,
First, we will calculate the mean
Mean = (94 + 86 + 95 + 99 + 88 + 90) / 6
Mean = 552 / 6
Mean = 92
Now,
We will determine the absolute value of the difference between each data and the mean
|94 - 92| = 2
|86 - 92| = 6
|95 - 92| = 3
|99 - 92| = 7
|88 - 92| = 4
|90 - 92| = 2
Now,
We will determine the mean of these absolute differences
Mean absolute deviation = (2 + 6 + 3 + 7 + 4 + 2) / 6
Mean absolute deviation = 4
Hence,
The mean absolute deviation is 4
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HALP FAST FOR BRAINIEST TO FIRST PERSON
Hello !
Minimum = 6 (the smallest value)
First quartile = 8 (25% of 7 = 1,75 => 2nd value)
Median = 15 (the value in the middle)
Third quartil = 23 (75% of 7 = 5,25 => 6th value)
Maximum = 31 (the greatest value)
It's C
Answer:
C. The 3.rd Answer :)
he following items are available for use in a pan balance to measure the
weight of a large rock. Which items will yield the greatest level of accuracy,
mat is, approximate the true weight of the rock with the least error? You may
nly use items of the kind selected, and may not mix items.
OA. Bricks
OB. Potatoes
O C. Pennies
OD. Sand
Math topic: similarities in right triangles
1. We can use the expression in option D
2. ║YC║ IS 3
3. ║BX║is 1.2
What are similar triangles?Similar triangles have several important properties. One of the key properties is that their corresponding angles are congruent, which means they have the same measures.
When triangles are similar, their corresponding sides are proportional. This means that if you take the ratio of the lengths of any two corresponding sides.
We know that;
║BC║ / ║YC║ = ║AB║ / ║AX║
15/ ║YC║ = 10/2
║YC║ = 15 * 2/10
= 3
Also;
║BC║ / ║YC║ = ║AB║ / ║BX║
10/2 = 6 / ║BX║
║BX║ = 2 * 6/10
= 1.2
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Please help me solve the question in the picture
Correct answer will get 20 points
The product QS is impossible because of the dimensions
The product SR has no orderThe product QR is [tex]QR = \left[\begin{array}{cc}-3&8\\-11&36\end{array}\right][/tex]Why the product QS is impossibleFrom the question, we have the following parameters that can be used in our computation:
Matrices Q, R and S with the dimensions
Q = 2 by 2
R = 2 by 2
S = 2 by 3
The product QS is the product of matrices 2 by 2 and 2 by 3
This is not possible because the dimensions of the matrices Q and R do not match i.e. it is not possible to multiply matrices 2 by 2 and 2 by 3
The order of product SRHere, we have
S = 2 by 3
R = 2 by 2
This is also not possible because of the reason above
So, it has no order
The value of the product QR
Here, we have
[tex]Q = \left[\begin{array}{cc}2&-1\\4&3\end{array}\right][/tex]
[tex]R = \left[\begin{array}{cc}1&6\\-5&4\end{array}\right][/tex]
So, we have
[tex]QR = \left[\begin{array}{cc}2 * 1 + -1 * 5&2 * 6 - 1 * 4\\4 * 1 + 3 *-5&4 * 6 + 3 * 4\end{array}\right][/tex]
Evaluate
[tex]QR = \left[\begin{array}{cc}-3&8\\-11&36\end{array}\right][/tex]
Hence, the product QR is [tex]QR = \left[\begin{array}{cc}-3&8\\-11&36\end{array}\right][/tex]
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How do I find the limit of
lim xy/√x^2 + y^2
(x,y) → (0,0)
To find the limit of lim xy/√x^2 + y^2 (x,y) → (0,0), we can use polar coordinates. the limit is: lim xy/√(x^2 + y^2) as (x,y) → (0,0) = 0
Let x = rcosθ and y = rsinθ. Then, the limit becomes lim (rcosθ)(rsinθ)/√(rcosθ)^2 + (rsinθ)^2 as r approaches 0. Simplifying, we get lim rcosθsinθ/√r^2(cos^2θ + sin^2θ) as r approaches 0. Canceling out the r, we get lim cosθsinθ/√(cos^2θ + sin^2θ) as r approaches 0. Since cosθsinθ is less than or equal to 1, the limit must exist and equal 0.
Therefore, the limit of lim xy/√x^2 + y^2 (x,y) → (0,0) is 0.
To find the limit of lim xy/√(x^2 + y^2) as (x,y) → (0,0), you can use polar coordinates to transform the expression. Let x = rcosθ and y = rsinθ. Then, the given expression becomes:
(r*cosθ * r*sinθ) / √(r^2*cos^2θ + r^2*sin^2θ) = r^2*sinθ*cosθ / (r*√(cos^2θ + sin^2θ))
Simplifying the expression, we get:
r*sinθ*cosθ
Now, as (x,y) → (0,0), r → 0. The limit we are looking for is:
lim r*sinθ*cosθ as r → 0
Since sinθ and cosθ are bounded between -1 and 1, the product r*sinθ*cosθ will also approach 0 as r approaches 0.
Therefore, the limit is:
lim xy/√(x^2 + y^2) as (x,y) → (0,0) = 0
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Answer ASAP
Consider this data set:
{34, 35, 42, 18, 20, 51, 19, 47, 37, 34}
The mean is
The median is
The mode is
The range is
Suppose the value 26 is added to the data set.
The mean decreases by .
The median decreases by
The mode is
The range is
The mean of the data set is 33.7.
The median is 34.5
The mode is 34
The range is 33
Suppose the value 26 is added:
The mean decreases by 0.7
The median decreases by 0.5
The mode is 34
The range is 33
How to find mean, median, mode and range of a data sets?The data set is as follows:
{34, 35, 42, 18, 20, 51, 19, 47, 37, 34}
Let's arrange it in ascending order.
{18, 19, 20, 34, 34, 35, 37, 42, 47, 51 }
The mean, or arithmetic mean, is the average value of a set of numbers. Therefore, let's find the mean.
mean = 18 + 19 + 20 + 34 + 34 + 35 + 37 + 42 + 47 + 51 / 10
mean = 337 / 10
mean = 33.7
The median is the middle number. Therefore,
median = 34 + 35 / 2
median = 34.5
Let's find the mode. The mode is the number that appears most.
mode = 34
The range is the difference between the highest number and the smallest number.
range = 51 - 18 = 33
Suppose the value 26 is added to the data set.
mean when 26 is added = 337 + 26 / 11 = 33
The mean decreases by 0.7
The median decreases by 0.5
The mode is 34
The range is 33
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What are the coordinates of the center and the length of the radius of the circle
whose equation is-y-12y-20 25-07
a) center (0.5) and radius 7.5
c) center (0-6) and radius 75
b) center (0.12) and radius 45
d) center (-12) and radius 4,5
The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;
Center (0, 6) and radius 7.5
What is the general form of the equation of a circle?The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;
(h, k) = The coordinates of the center of the circle
r = The measure of the length of the radius
The possible equation obtained from a similar question on the internet can be presented as follows;
x² + y² - 12·y - 20.25 = 0
The above equation can be evaluated using the completing the square method and excluding the x² term as follows;
y² - 12·y - 20.25 = 0
y² - 12·y = 20.25
y² - 12·y + (-12/2)² = 20.25 + (-12/2)²
y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25
(y - 6)² = 56.25
Therefore;
y - 6 = √(56.25) = ±7.5
The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²
The center of the circle is therefore;
(h, k) = (0, 6)
The radius of the circle, r = 7.5
The possible correction is therefore, option (a), where the 5 is a typing error
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John plans to hike a distance of 21 miles. If he
only travels 1 3/4 miles per hour, how long will it
take him to finish his journey?
Answer:
12 hours
Step-by-step explanation:
1 3/4=1.75
21÷1.75=12
if sunflower is 250ml and costs R14.99 how much will it cost if it was 1L
Answer:
R59.96
Step-by-step explanation:
250 x 4 = 1000
14.99 x 4 = 59.96
a range of values, that with a certain degree of probability contain the population parameter, is known as a: group of answer choices point estimate confidence interval estimate ballpark estimate none of these are correct.
Main Answer: A range of values, that with a certain degree of probability contain the population parameter, is known as a "confidence interval estimate."
Supporting Question and Answer:
What is the purpose of a confidence interval estimate in statistics?
The purpose of a confidence interval estimate in statistics is to provide a range of values that, with a certain degree of probability, contains the population parameter of interest. This range allows for a measure of uncertainty and provides a level of confidence in the estimation process.
Body of the Solution: The correct answer is "confidence interval estimate."
A confidence interval estimate is a range of values that, with a certain degree of probability (often represented by a confidence level), is believed to contain the population parameter of interest. It is used in statistics to provide an estimate of an unknown population parameter based on sample data. The confidence interval provides a range rather than a single point estimate, allowing for a measure of uncertainty in the estimation process.
Final Answer: The correct answer is "confidence interval estimate."
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A range of values, that with a certain degree of probability contain the population parameter, is known as a "confidence interval estimate."
What is the purpose of a confidence interval estimate in statistics?The purpose of a confidence interval estimate in statistics is to provide a range of values that, with a certain degree of probability, contains the population parameter of interest. This range allows for a measure of uncertainty and provides a level of confidence in the estimation process.
The correct answer is "confidence interval estimate."
A confidence interval estimate is a range of values that, with a certain degree of probability (often represented by a confidence level), is believed to contain the population parameter of interest. It is used in statistics to provide an estimate of an unknown population parameter based on sample data. The confidence interval provides a range rather than a single point estimate, allowing for a measure of uncertainty in the estimation process.
The correct answer is "confidence interval estimate."
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what is the probability of flipping a coin three times and having them all land "heads" up?
Answer:
1/8 or 0.125 or 12.5%---------------------------
The probability of flipping a coin and having it land "heads" up is 1/2.
Since each coin flip is independent, the probability of getting three heads in a row is the product of the individual probabilities.
Therefore, the probability of flipping a coin three times and having them all land "heads" up is:
(1/2) x (1/2) x (1/2) = 1/8 or 0.125 or 12.5%Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7).
The steps to graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7) are given below.
To graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7), we need to apply the following steps:
Plot the original figure on a coordinate plane.
Draw a point at the center of dilation (2, −7).
Draw lines connecting the vertices of the original figure to the center of dilation.
Extend each line from the center of dilation by a factor of 3.
Plot the new vertices where the extended lines intersect.
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please helppp question 13
The coordinates of vertices U(1 , -3) , V(4 , -3) , T(1 , -4) , W(4 , -4) becomes
U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4) after the reflection across x-axis occurs.
Solution:
When a point is reflected across the x-axis, the x-coordinate remains unchanged, but the y-coordinate is assumed to be the additive inverse. Point (x, y reflection )'s across the x-axis is (x, -y).
the point (x , y)→ (x , -y).
In the question given 4 coordinates,
U(1 , -3)
V(4 , -3)
T(1 , -4)
W(5 , -4)
the reflection across x-axis
U(1 , -3) →U' (1, 3)
V(4 , -3) → V'(4 , 3)
T(1 , -4) → T'(1 , 4)
W(5 , -4) → W'(5 , 4)
so after the reflection across the x axis the coordinates of the vertices becomes ,
U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4)
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complete question:
Find the coordinates of the vertices of each figure after the given transformation
3) reflection across the x-axis
Enter Question Text
A U'(1,3),V'(4,3), W'(5,4),T'(1,4)
B U'(3,1),V'(3,4,), W'(4,5),T'(4,1)
D U'(-1,3),V'(-4,3), W'(-5,4),T'(-1,4)
(3)(4-3);W(Sp-4)T(4)
U
T
X
frankie bought a new computer. he made an initial payment of to the store, and he will pay each month until the computer is paid off. which equation represents the relationship between , the number of monthly payments frankie has made, and , the total amount that frankie has paid the store?
We need to use some basic algebraic equations. Let's assume that the initial payment made by Frankie was x, and the total amount he has to pay for the computer is y. Also, let's assume that Frankie will make n monthly payments.
Now, we know that Frankie has already paid x, and he has to pay y-x more. Since he will pay this amount in n monthly installments, we can represent the monthly installment as (y-x)/n.
So, the equation that represents the relationship between n and y can be written as:
y = x + n*(y-x)/n
Simplifying this equation, we get:
y = x + y-x
y = y
This means that the equation is true for any value of n and y, as long as x is a valid initial payment amount. Therefore, the equation that represents the relationship between n and y is:
y = x + n*(y-x)/n
The equation we derived above is a simple but important concept in mathematics and finance. It shows us that we can calculate the total amount we need to pay for something by multiplying the monthly installment by the number of payments and adding the initial payment to it. This concept is used in many financial transactions, such as car loans, mortgages, and credit card payments.
Moreover, this equation also helps us to plan our finances and manage our budget effectively. We can use it to calculate how much we need to save every month to reach our financial goals, or to compare different payment options and choose the one that suits us best.
In conclusion, the equation that represents the relationship between the number of monthly payments and the total amount paid is an essential tool for anyone who wants to make wise financial decisions. By understanding this equation, we can save money, avoid debt, and achieve our financial goals more easily.
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