The transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
How to describe the transformation that occurred to g(x)?The equation of the functions are given as
f(x)= (4x - 8)^2
g(x) = x^2
Start by stretching the function g(x) horizontally by a scale factor of 4
This is represented as
g'(x) = g(4x)
So, we have
g(4x) = (4x)^2
This gives
g'(x) = (4x)^2
Next, we translate the function down by 8 units
This is represented as
f(x) = g'(x - 8)
So, we have
f(x) = (4x - 8)^2
Hence, the transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
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A mole is a unit of measurement in chemistry. If 1 mole contains 6.02×1023 particles, how many particles are in 12 of a mole?
The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.
What is the number of particles in a separate substance given that one mole contains 6.02×10²³ particles?It follows from the task content that 1 mole contains 6.02×1023 particles, and hence, the number of particles in 12 moles is to be determined.
On this note, it follows from proportion that since 1 mole contains 6.02×1023 particles, then, the number of particles is 12 moles is;
= 12 × 6.02 × 10²³
= 72. 24 × 10²³
= 7.224 × 10²³.
Ultimately, The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.
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In a class of 32 students
The mean height of the 14 boys is 1.56 meters
The mean of all students is 1.515 meters
Work out the mean height for the girls
When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.
How can the mean height for the girls be calculated?From the question, we were given total number of students as 32
But the mean can be calculated as the ratio of all the sum of all the data to the total number of data,
the total height of all students= (32*1.56)=48.48
total height of 14 boys=(14*1.56)=26.64
number of girls is (32-14)=18
The mean height for the girls will be (26.64/1118)=1.48
Therefore, When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.
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NOTE; This is a complete question , no given option , even on internet.
∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 65^\circ65
∘
65, degrees.
What is the measure of \angle x∠xangle, x?
Answer:
angle x = 115 degre
Step-by-step explanation:
hey I think you are asking for angle x
since y is supplementary to x
y+x=180 ( because they are supplementary)
65 +x = 180
x= 180-65
x=115
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid for each job. At the beginning of the month, Tim has $50. He mows 2 lawns and washes 1 car. Then, he buys two video games that cost $15 each and a sweatshirt that costs $35. Write an addition equation using integers to represent the situation. How much money does Tim have left?
Based on the amount that Tim had at the beginning of the month, the mowing of the lawn and washing of the car, the equation that represents the situation is b. 50 + 12 + 12 + 9 + (-15) + (-15) + (-35).
The amount of money that Time has left is $18
How to find the amount left?Tim gets $12 for every lawn he mows and $9 for every car he washes.
The amount he gets is:
= Amount started with + payment for mowing lawn + payment for mowing another lawn + payment for car wash
= 50 + 12 + 12 + 9
When the expenses of the video games and sweatshirt are thrown in, the formula becomes:
= 50 + 12 + 12 + 9 + (-15) + (-15) + (-35)
The amount that Tim is left with is:
= 50 + 12 + 12 + 9 + (-15) + (-15) + (-35)
= $18
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Is -5 3/11 greater than or less than -5.2
Answer:
Yes.
Step-by-step explanation:
-5 3/11 is equal to -5.27 repeating therefore, it is greater than -5.2. Hope this helps. :)
When Kiran moved into a new house, he planted two trees in his backyard. At the
time of planting, Tree A was 33 inches tall and Tree B was 15 inches tall. Each year
thereafter, Tree A grew by 4 inches per year and Tree B grew by 7 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree B t years after being planted. Write an equation for each situation, in
terms of t, and determine the interval of time, t, when Tree A is taller than Tree B.
A new observed data point is included in set of bivariate data. You find that
the slope of the new regression line has changed from 1.7 to 1.1, and the
correlation coefficient only changed from +.60 to +.61. This new data point is
probably a (an):
A. predicted (y) value.
B. residual.
C. influential point.
D. outlier.
4
SUBMIT
New data point is residual.
When a data point is added or removed from the whole dataset, it might cause a significant change in the regression equation by either changing the slope or the relationship coefficient existing between the variables.
An influential point is one that changes the relationship existing between the dependent and the independent variables significantly in either direction.
Since the new observed data point decreases the slope of the regression line but increases the correlation coefficient existing between the independent and the dependent variable, we can probably say that the new data point is an influential point.
Thus, Option B. is correct.
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7(10+4) parts of sum
Answer:
98
Step-by-step explanation:
(10+4) = 14
14 x 7 = 98
You own 24 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
Answer:
I want to say you have a 6/24 chance.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The total number of CD is given as: 24
lesson 7.2 NEED HELP!
Find the missing length indicated. Leave your answer in simplest radical form.
The missing length of the given triangle with measurements using triangle proportion are;
For first diagram; x = 48
Foe second diagram; x = 60
For third diagram; x = 100
For fourth diagram; x = 25
What is triangle proportion?
According to the Triangle proportion rule, When a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
In first diagram;
The side with x is a reflexive side of both triangles and as such from triangle proportionality theorem we can say that;
⇒ x/64 = 36/x
After cross multiply we get;
x² = 64 * 36
x = √2304
x = 48
Thus, we conclude that the missing length indicated is x = 48.
In second diagram;
Let y is the smaller side of the base out of which 64 has been taken.
Thus; y = 100 - 64
y = 36
Let the perpendicular height of triangle is 'z';
z/36 = 64/z
z² = 64 * 36
z = √2304
z = 48
Now, For finding the value of x we can apply the Pythagoras theorem;
x² = 48² + 36²
x² = 2304 + 1296
x² = 3600
x = √3600
x = 60
So, The missing length indicated is x = 60.
In third diagram;
Let the perpendicular height of triangle is 'y'.
Then apply Pythagoras theorem as;
60² = 36² + y²
y² = 3600 - 1296
y = √2304
y = 48
Now, Apply the triangle proportionality theorem we get;
48/36 = (x - 36)/ 48
48 * 48 = 36 (x - 36)
64 = x - 36
x = 64 + 36
x = 100
Hence, The missing length indicated is x = 100.
In fourth diagram;
Let the perpendicular height of triangle is 'y';
Apply Pythagoras theorem as;
15² = 9² + y²
y² = 225 - 81
y = √144
y = 12
Now, Apply the triangle proportionality theorem we get;
12/9 = (x-9) /12
144 = 9 (x-9)
16 = x - 9
x = 25
So, The missing length indicated is x = 25.
Therefore, The missing length of the given triangle with measurements using triangle proportion are;
For first diagram; x = 48
Foe second diagram; x = 60
For third diagram; x = 100
For fourth diagram; x = 25
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Simplify 2x+3y-2(x-y2)
Answer:
7y
Step-by-step explanation:
2x + 3y -2(x - 2y)
2x + 3y - 2x + 4y
2x - 2x + 3y + 4y
3y + 4y
7y
*Please mark brainliest answer
4
1
k=3(−
4
1
k+3)start fraction, 1, divided by, 4, end fraction, k, equals, 3, left parenthesis, minus, start fraction, 1, divided by, 4, end fraction, k, plus, 3, right parenthesis
k =k=
Answer:
The value of k = 18 ± 2i √42 that is 18 + 2i √42 and 18 - 2i √42.
Step-by-step explanation:
An equation is given to be solved for the value of k, that is 1/4 k = 3 (-41/k + 3).
Now, let us rearrange the given equation;
=> 1/4 k = 3 (-41/k + 3)
=> 1/4 k - 3 (-41/k + 3) = 0
Let us simplify the equation;
=> 1/4 k - 3 (-41/k + 3) = 0
=> k/4 + (3 × 41)/k - 3 × 3 = 0
=> k/4 + 123/k - 9 = 0
=> k/4 + 123/k = 9
Now, multiply each side by 4k to eliminate the fractions;
=> (k/4 + 123/k) × 4k = 9 × 4k
=> 4k²/4 + 492k/k = 36k
=> k² + 492 = 36k
=> k² - 36k +492 = 0
So, this equation is a quadratic equation;
=> k = -b ± √(b² - 4ac) / 2a
=> k = -(-36) ± √((-36)² - 4 × 1 × 492) / 2 × 1
=> k = 36 ± √((-36)² - 4 × 492) / 2
=> k = 2 [36 ± √((-36)² - 4 × 492)] / 2
=> k = 18 ± √((18)² - 2 × 246)
After solving the above equation we get;
=> k = 18 ± 2i √42
Therefore, the value of k = 18 ± 2i √42 that is 18 + 2i √42 and 18 - 2i √42.
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Answer:
k = 9 its on khan
Step-by-step explanation:
PLEASE HELP ASAP 40 POINTS
The mistake made by the student was using the composition f ° g(x) instead of g ° f(x). The correct form is g( f(0)) = - 9 / 2.
How to find the procedure error associated to a composition of functions
In this question we find two functions, with which we should perform an operation known as composition. Composition consists in substituting the input of a function by the other function. The operation is defined by the following expression:
f ° g (x) = f [g (x)]
Herein we must determine the mistake done by the student on the composition. If we know that f(x) = (3 · x - 7) / 4, g(x) = 2 · x - 1 and x = 0, then the value of g(f (0)) is:
g ° f (x) = g (f (x))
g ° f (x) = 2 · [(3 · x - 7) / 4] - 1
g ° f (x) = (3 · x - 7) / 2 - 1
g ° f(x) = (3 / 2) · x - 7 / 2 - 1
g ° f(x) = (3 / 2) · x - 9 / 2
g ° f(0) = (3 / 2) · 0 - 9 / 2
g ° f(0) = - 9 / 2
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For the following polynomial, one zero is given. Find the remaining zeros.
P(x) = x4+ 16x²-225, 5i is a zero.
If entertainment is represented by 72° on a circle graph showing all expenses and the cost of entertainment is $225, how much are the total expenses?
The cost of total expenses from the circular graph is $888.
What is termed as the unitary method?The unitary method calculates the value of one unit given a multiple. Furthermore, once we've determined the value of an only one unit, we can multiply that value by the number of units needed. This method is commonly used to demonstrate the concept of ratio and proportion.The entire angle on the circular graph is represented by 360°.
The total entertainment is given by 72°.
Then the cost is given by; 360 - 72 = 288°
Use unitary method-
As,
72° represents $225.
Then, 1° given the amount = 225/72
Now, for the value of 288° = 225×288 / 72
= 888
Thus, the total expenses costs $888.
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What is the simplified expression for-3cd - d (2c-4)- 4d?
Chloe brought 1.2 x 10^2 paper plates and 5.04 x 10^3 napkins for her restaurant. She wondered ''How many times as great as the number of paper plates i brought was the number of napkins?
Explain how you know if the exponent to the answer will be positive or negative.
How many times as great as the number of paper plates Chloe brought was the number of napkins?
Answer:
Step-by-step explanation:
√20 4 1/2 less or grater than or equal to 
Answer: I'm not sure what the full question was
Step-by-step explanation:
Find the measure of the supplementary angles that satisfy each case. m<1 is less than m<2 by 40 degrees
Answer:
One angle is 70 and the other angle is 110
Step-by-step explanation:
x + 40 = y
x + y = 180 Supplemental angles add to 180
Substitutes x + 40 into the second equation by y
x + x + 40 = 180 Combine like terms
2x + 40 = 180 Subtract 40 from both sides
2x = 140 Divide both sides by 2
x = 70
Substitute in 70 for x in either of the original 2 equations
x + y = 180
70 + y = 180 Subtract 70 from both sides
y = 110
m1=70
m2=110
supplementary angles are two angles that add up to 180 so all you need to do is make an equation to find the answer.
we can make m1=x and m2 = y
x is less than y by 40 degrees so y-40=x
then we use the equation x+y=180 and replace x with what we found out and solve for y.
(y-40)+y=180 ---> 2y -40 = 180 ---> 2y = 220 ---> y=110
x+y=180 ---> x+110=180 ---> x=70
order from least to greatest )
-3/4, 0, 3, 0.75, 1.8, 3.5
tysm <3
Answer:
-3/4 = -0.75
-0.75, 0, 0.75, 1.8, 3, 3.5
Hope this helps!
solve the quadratic equation 6xsquared -13x-5
Answer:
23x - 5
Step-by-step explanation:
6x X 6x would be 36x
36x - 13x = 23x
23x-5 cannot be further simplified
He can you
find the cost C of downloading n sounds for n>1
Answer:
can you respond and explain more
Step-by-step explanation:
find the length of a side of a square for the area given 100/9 square meters
Answer: A side of a square for the area given 100/9 square meters, then length = 3.33 meters .
Step-by-step explanation:
The area of a square is (100/9) cm.
So, find out the length of the square?
Then,
Define Square:
A square is closed, two-dimensional shape with 4 equal sides. A square is a quadrilateral. We can find the shape of a square in a game board or chess board, a wall clock and in a slice of bread, around us.
The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.
Define Area of Square:
Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units with the standard unit being square meters (m²).
The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.
Area of a Square = Side × Side
Therefore, the area of square = side² square units
A = s²
Means, A= area of square
You have the area so you need to find the side length that when multiplied by itself equals that area. If you don’t know what number squared is (100/9) you can plug and chug or use a calculator with square roots.
Replace with A=(100/9) values,
We can write,
A = s²
(100/9) = s²
Then we can solve it,
[tex]\sqrt{100/9}[/tex] = s
[tex]\sqrt{\frac{(10^{2}) }{3^{2} } }[/tex] = s
We can write, [tex]\sqrt{10^{2} }[/tex] = 10 , and [tex]\sqrt{3^{2} }[/tex] = 3
Then,
(10/3) = s
Therefore, s = (10/3)
s = 3.33 meters
So, length = 3.33 meters
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