Point P' is the image of P(-2,4) under a translation by 2 units to the left and 5 units down.
Answers
Answer:
(-4,-1)
X value: -2 - 2 = -4.
Y value: 4 - 5 = -1
Related Questions
225,165 people visited Korina's website on Saturday. On Sunday, the number of visitors decreased by 1,000. How many people visited Korina's website on Sunday?
Answers
As the number of people visiting each day is the same 404 people visited on Sunday.
We have,
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.
As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,
= (1212/3).
= 404.
So, On Sunday 404 visitors were there.
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complete question:
The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday
3. A plumber charges $70 per hour plus $15
for the call.
a) Write a function in function notation that
represents the plumber's total charge.
b) If the total charge was 155 dollars, how
many hours did the plumber work?
Answers
in a multiple regression model, the variance of the error term ε is assumed to be _________________.
Answers
In a multiple regression model, the variance of the error term ε is assumed to be constant or homoscedastic. This means that the variance of the error term remains the same across all values of the independent variables.
The assumption of homoscedasticity is important because it ensures that the errors are not systematically biased towards certain values, which could lead to inaccurate predictions and statistical significance tests. Violations of homoscedasticity can occur when there are outliers, heterogeneity in the sample, or when the relationship between the dependent and independent variables changes across different values of the independent variables. In such cases, alternative regression models such as weighted least squares or robust regression may be used.
In a multiple regression model, the variance of the error term ε is assumed to be constant and equal across all observations. This assumption, known as homoskedasticity, ensures that the model's predictions are reliable and the standard errors of the regression coefficients are accurate. If the variance is not constant, it can lead to heteroskedasticity, which can negatively impact the efficiency of the regression estimates and result in biased standard errors, potentially leading to incorrect inferences about the relationships between variables. Therefore, maintaining the assumption of constant error variance is crucial for a valid multiple regression analysis.
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Highest common factor of 30 and 75
Answers
3 times 5=15
HCF15
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
Answers
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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Which of the following scenarios represents a possible impulse purchase?
Tim budgets for his scooter and decides to purchase the scooter through a dealership offering 0% interest to first time buyers.
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Tim researches interest rates on the purchase of a new scooter before deciding against making the purchase.
Tim researches interest rates on the purchase of a new scooter before deciding to make a purchase.
Answers
Answer:
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Step-by-step explanation:
I had the same question and got it correct. Hope I helped. :)
Answer:
Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.
Step-by-step explanation:
He did not weigh all the assets
solve in 25 mins thanks
(1) You are told that \( c_{0}=300, T=400, G=400, I_{0}=300, c_{1}=0,4 \operatorname{og} b=1 \) ? Find the IS curve and explain what it shows.
Answers
It represents the level of output at which planned spending (I + C + G) equals total income.
The IS curve is the intersection of the investment and saving curve. The investment curve is a downward sloping curve, while the saving curve is upward sloping. It can be obtained by equating total income with total output and deriving the relationship between interest rates and GDP.
It represents the combinations of interest rates and output where the market for goods and services is in equilibrium. The equation for the IS curve can be given as:Y = C(Y-T) + I(r) + G
Where, C(Y-T) is consumption I(r) is investment Y is output G is government spending T is taxes r is the interest rateGiven,C0 = 300T = 400G = 400I0 = 300c1 = 0.4b = 1
We can calculate the IS curve as follows: Y = C(Y-T) + I(r) + G
⇒ Y = C0 + c1 (Y-T) + I0 + bY - br + G
⇒ Y - c1Y + br = C0 - c1T + I0 + G
⇒ (1-c1) Y = C0 - c1T + I0 + G - br
⇒ Y = 1/(1-c1) * (C0 - c1T + I0 + G - br)
Substituting the given values, we get, Y = 1/(1-0.4) * (300 - 0.4*400 + 300 + 400 - 1r)
⇒ Y = 1/0.6 * (600 - r)
⇒ Y = 1000 - 1.67r
Therefore, the IS curve equation is given by Y = 1000 - 1.67r. It shows the combinations of interest rates and output levels at which the goods market is in equilibrium.
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Buffy and Addy launch their rockets at the same time. The height of Buffy’s rocket, in meters, is given by the function f(x) = -4. 9x^2 +50x ,where x is the number of seconds after the launch. The height of Addy’s rocket, in meters, is given by the function g(x) = -4. 9x^2 +25x +34 ,where x is the number of seconds after the launch. Algebraically find the moment when the rockets are at the same height, and then use that to calculate the height? Round to the nearest hundred.
PLEASE SHOW ALL WORK!!
Answers
The rockets are at a height of 83.15 meters after 1.36 seconds. Rounded to the nearest hundred, this is 83 meters.
To find the moment when the rockets are at the same height, set f(x) = g(x) and solve for x:
-4.9x2 +50x = -4.9x2 +25x + 34
50x = 25x + 34
25x = 34
x = 1.36
Therefore, the rockets are at the same height after 1.36 seconds. To calculate the height, plug x = 1.36 into either function:
f(1.36) = -4.9(1.36)2 +50(1.36)
f(1.36) = -4.9(1.85) + 68
f(1.36) = 83.15 meters
Therefore, the rockets are at a height of 83.15 meters after 1.36 seconds. Rounded to the nearest hundred, this is 83 meters.
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Yvonne ran of the race before stopping
for water. She wants to stop for water one
more time before finishing the race. List
two ways Yvonne can do this.
1
1
-100
-
-100
1
8
1
8
1
8
8
8.
8
8
Answers
Yvonne can either run 3/8 part of 2/8 part of the race before stopping for water and then continue to finish the race.
Yvonne has completed 3/8 part of the race. Hence, the remaining part of race is 5/8 parts. Based on the diagrammatic representation of fraction of the race, she can choose among the two ways to stop for drinking water one more time before finishing the race.
Either she can run 3/8 part of the race more and then drink the water followed by finishing the race. Or, she can run 2/8 part of the race more before drinking water and finishing the race.
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The complete question is attached in figure.
Sound intensity varies inversely as the square of the distance from the sound source. If youare in a movie theater and you change your seat to one that is thrice as far from thespeakers, how does the new sound intensity compare with that of your original seat?The sound intensity is of what it was originally.(Type an integer or a fraction.)
Answers
Let the initial intensity be I, then,
\(I=\frac{x}{d^2}\)Here, x is the proportionality constant and d is the distance.
When the seat is changed o one that is thrice as far from the
speakers, we have the new intensity as,
\(I^{\prime}=\frac{x}{(3d)^2}=\frac{x}{9d^2}\)Therefore, the new intensity in terms of the original intensity can be written as,
\(I^{\prime}=\frac{x}{9d^2}=\frac{1}{9}\times I\)Thus, the required fraction is 1/9.
anyone know this please ;)
Answers
Answer:
The planet to have the biggest mass is Jupiter
the radius of mercury is 2.44 × 10^5
the difference in mass between Jupiter and Saturn is 2.2 × 10⁴
1. A savings account earns 8 % Interest each year, compounded quarterly (4 times a year). If a person Invests $100 and makes no further deposits or withdrawals, what is the balance inthe account after 3 years?hpA
Answers
So, the formula that we're going to use is:
Compound interest
A = P(1 + r/n)ⁿˣ
Where
A = amount
P = principal = $100
r = rate = 8% = 8 / 100 = 0.08
x = time
In this case, n=4 since it is being compounded quarterly, so:
The answer is $126.82.
PLS HELP ILL MARK AS BRAINLIEST PLSS
Answers
Answer:
10%
Step-by-step explanation:
I think it's right lol but I could be wrong I forgot a lot of this stuff
but out of all the data it goes from 22-42 so 20 points in total
there is only 2 of the data points behind 24, so it is 2/20 or 10%
what are the domain and range of the following quadratic
Answers
Answer:
ranalllldooo
Step-by-step explanation:
suiiiiiii
i'll give brainly to correct answer!!!!
Answers
Answer:
54 degrees
Step-by-step explanation:
will edit explanation later
1. Determine the solutions of the equation:
b = 2A/h
1. x = −9 and x = 9
2. x = −15 and x = 4
3. x = −15 and x = 9
4. x = −15 and x = 15
2. The equation below shows the area of a trapezoid, A, with a height of 9 cm and one base 35 cm.
A = 9/2(b+35)
Which of the following formulas correctly solves for the other base, b?
1. b = 2A/9 + 35
2. b = 2A/9 - 35
3. b = 2A + 35/9
4. b = 2A - 35/9
Answers
The equation has no solution for x and the formula that correctly solves for the other base, b is b = 2/9A - 35
How to determine the solutions of the equation?The equation is given as:
b = 2A/h
There is no occurrence of x in the above equation
This means that the equation has no solution for x
Which of the following formulas correctly solves for the other base, b?Here, we have:
A = 9/2(b+35)
Multiply both sides by 2
2A = 9(b+35)
Divide both sides by 9
2/9A = b + 35
Subtract 35 from both sides
b = 2/9A - 35
Hence, the formula that correctly solves for the other base, b is b = 2/9A - 35
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Find the area of the composite figure.
Answers
The area of the composite figure is equal to 52 square units
How to calculate for the area of the figureThe composite figure can be observed to be made up of two congruent triangles, and a parallelogram, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:
area of the one congruent triangles = 1/2 × 8 units × 4 units
area of the one congruent triangles = 16 square units
area of the parallelogram = 5 units × 4 units
area of the parallelogram = 20 square units
total area of the composite figure = 16 square units+ 16 square units + 20 square units
total area of the composite figure = 52 square units
Therefore, the area of the composite figure is equal to 52 square units
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Hey anybody plz help me ;C
Answers
Answer:
her equation should be a² + 3² = 4²
Step-by-step explanation:
a² + 3² = 4²
a² + 9 = 16
a² = 7
a = \(\sqrt{7}\)
a ≈ 2.6 inches
The temperature, t, in degrees celsius, in a warehouse changes according to the function t(h) = 18 + 4sin(pi/12 (x = 8)).
where h is the number of hours since midnight. at what rate is the temperature changing at 9 a.m.?
Answers
Answer:
about 1.01 °C per hour
Step-by-step explanation:
We assume the intended temperature function is ...
t(h) = 18 +4·sin(π/12(h -8))
We are asked for the rate of change when h=9.
__
derivativeThe rate of change of temperature with respect to time is the derivative of t(h) with respect to h.
t'(h) = 4(π/12)cos(π/12(h -8)) = π/3·cos(π/12(h -8))
at 9 amFor h = 9 hours after midnight, the rate of change is ...
t'(9) = π/3·cos(π/12(9 -8)) = π/3·cos(π/12) ≈ (3.14159)(0.965926)/3
t'(9) ≈ 1.01152
The rate of change of temperature at 9 a.m. is about 1.01 °C/hour.
A candy company used 8 pints of chocolate to
make 2 boxes of candy. How much chocolate would
they need to make 6 boxes of candy?
Answers
Answer:
They would need 24 pints of chocolate to make 6 boxes of candy
answer the question super ez
Answers
Answer:
24
Step-by-step explanation:
You can multiply 6×8 and then divide that by 2, which is 24
If your good at Geometric Congruence, please answer the questions below in the photos. Please help, thank you.
Answers
Answer:
X=22 because of the symmetrical angle so 158+158=316 and one full angle = 360 then 360-316=44 and there are two sides so 44÷2=22
Choose the expression that represents a linear expression. −17x4 − 18x3 19x2 − 20x 21 18x3 19x2 − 20x 21 23x2 24x − 25 4x 4.
Answers
Answer:
4x + 4
Step-by-step explanation:
I answered this correctly on my test
Hopes this help
Please let me know if I'm wrong
Answer:
4x+4
Step-by-step explanation:
Got it right on my test
How forgot how to do this problem. I will give brainliest!
Answers
Answers
2x+3y=4
A=2 , B=3 , C=4
step by step:
2x+3y=2 the slope is -2/3
3y=-2x+2
y=-2/3 x+2
parallel line have the same slope: -2/3
the equation of parallel line that passes through point (2,0) y=mx+b
find b
2(2)+3(0)=b
4+0=b
b=4
the equation will be
2x+3y=4
to check : graph the equations:
For the function F defined by F(x)=x2−2x+4, find F(2b−1).
Answers
Answer:
F(2b-1)=4b^2-8b+7
Step-by-step explanation:
F(x)=x^2-2x+4
F(2b-1)=(2b-1)^2-2(2b-1)+4
F(2b-1)=4b^2-8b+7
\(f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\\)
If two angles are complementary and one angle is 48° what is the other angle
Answers
Answer:
Step-by-step explanation:
When two angles add to 90°
how do you find the complete square of a math problem
Answers
Step-by-step explanation:
I am not sure what exactly you mean.
do you mean the complete square of an expression or
term ?
if so, then by multiplying this term by itself, and that means in general, every part is multiplied by every part and the part results are added considering the signs involved.
e.g.
squaring a+b
(a+b)(a+b) = a×a + a×b + b×a + b×b = a² + 2ab + b²
remember that multiplication and addition are commutative (you can flip the right and left sides with each other and still get the same result : a+b = b+a, a×b = b×a).
squaring a-b
(a-b)(a-b) = a×a + a×-b + -b×a + -b×-b = a² - 2ab + b²
remember that
+×- = -×+ = -
-×- = +
+×+ = +
a more complex example ?
squaring a-b+c
(a-b+c)(a-b+c) =
= a×a + a×-b + a×c + -b×a + -b×-b + -b×c + c×a + c×-b + c×c =
= a² - 2ab - 2bc + 2ac + b² + c²
"Determine for what values of t the vector valued function ????(????) =
〈????????(???? + 1), |???? + 2|,[????] is continuous."
Answers
The vector valued function r(t) will be continuous for all non-integer values of t. The values of the t the valued function x = ( x + 1), |y+ 2|,[y] then the value will continuous for each every integer in the function.
To determine for what values of t the vector valued function r(t) = is continuous, we need to analyze each component of the vector function.
1. f(t+1): Since this component is not clearly defined, I'll assume it's a continuous function of t. In that case, it will be continuous for all values of t.
2. |t+2|: This component is the absolute value function, which is continuous for all values of t as well.
3. [t]: This component represents the greatest integer function (also known as the floor function). It is continuous for all t, except for integer values of t, where it has jump discontinuities.
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6. The graph shows the number of soda bottles a machine can make over time. Use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make
per minute.

Answers
Answer:
150-50/6-2
100/4
25
Step-by-step explanation:
25 soda bottles the machine can make per minute.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
We have to use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make per minute.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
x₁=2, y₁=50, x₂=6, y₂=150
substitute in slope formula
Number of soda bottles=slope=150-50/6-2
=100/4
=25
Hence 25 soda bottles the machine can make per minute.
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Please help!
5^3 x 5^-7
Answers
Answer: 0.0016
Step-by-step explanation:
5^3 = 125
5^-7 = 0.0000128
125 * 0.0000128 = 0.0016