The correct statement regarding the reflection rules in this problem is given as follows:
D. g(x) is a reflection of f(x) over the x-axis.
How to define the reflection?The functions f(x) and g(x) in the context of this problem are defined as follows:
f(x) = 2x².g(x) = -2x².The entire function was multiplied by -1, meaning that the signal of the function was exchanged, hence the function was reflected over the x-axis.
As the function was reflected over the x-axis, the correct option in the context of the problem is given by option D.
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Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Anything helps :) thank you
Answer:
the first one is (23)
number 7 is ( 34.069)
Step-by-step explanation:
Use distributive property to rewrite each algebraic expression: 15(2+r)
Answer:
15 x 2 + 15 x r
Step-by-step explanation:
I hope this helps and hope u have an Amazing day!!
If triangle has a side 16.5 side 29 and side x What is value of x
The third side of the triangle 12.5
A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
we the measurements of given two sides of the triangle 16.5 and 29
In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.
The sum of two sides rule
\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)
The difference between the two sides rule
\(29 - 16.5 < x \\ 12.5 < x\)
Therefore, the value of x is 12.5
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Write the recurrence relation for the nth term which is defined by multiplying the prior term by 3 and subtracting 12.
Answer: Aₙ = 3*Aₙ₋₁ - 12
Step-by-step explanation:
Here our terms will be denoted as:
Aₙ
Where this is the n-th term of the sequence.
Now we have that the recurrence relation is defined by:
"by multiplying the prior term by 3 and subtracting 12."
Then we will have that:
Aₙ = 3*Aₙ₋₁ - 12
That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)
what is the answer to 8x²+7y²-3x²+5y²=12
Answer:
-5x/12y
Step-by-step explanation:
Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape?
AS A FRACTION PLZ
Answer:
17/3 or 5 2/3 yards
Step-by-step explanation:
17 divided by 3 is 17/3, which gets changed to 5 2/3
111
what number is 40% of 200
Answer:
80
Step-by-step explanation:
40% of 200 = 0.40 *200 = 80
Answer:
The answer is 80%
Step-by-step explanation:
Step 1- Use a caculator
Step 2- Type the question in the caculator
Step 3- Get your answer
ABC is similar to XYZ. Find the unknown measures.
Answer:
c=64.2
Step-by-step explanation:
Find the surface area of the cone in terms of π.
180π cm2
108π cm2
144π cm2
90π cm2
Answer:
\(54\pi \: {cm}^{2} \)
Step-by-step explanation:
Given:
A cone
l = 15 cm
r (radius) = 3 cm
Find: A (surface area) - ?
\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)
\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} \)
Anthony owns a bakery and buys raw eggs in packs of 50 for $5.00 each. The delivery is a set free of $10.00. If Anthony has $100.00 to spend, what is the domain of this function, where x represents the number of packs of eggs?
Answer:
D- The set of whole numbers were 1<_x<18
Step-by-step explanation:
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
The figure below is a net for a square pyramid. What is the surface area of the square pyramid, in square inches?
The surface area of the square pyramid, in square inches is found to be 184.29 square inches.
Since the square pyramid has a square base, its surface area is the sum of the area of the base and the area of the four triangular faces. The area of the square base is simply the side length squared,
Area of base = (7.1 inches)² = 50.41 square inches
The area of each triangular face can be found using the formula for the area of a triangle,
Area of triangle = 1/2 x base x height where the base is 7.1 inches and the height is 9.4 inches. Thus, the area of each triangular face is,
Area of triangle = 1/2 x 7.1 inches x 9.4 inches = 33.47 square inches
Since there are four triangular faces, the total area of the four triangular faces is,
4 x (33.47 square inches) = 133.88 square inches
Therefore, the total surface area of the square pyramid is,
Total surface area = Area of base + Area of four triangular faces
= 50.41 square inches + 133.88 square inches
= 184.29 square inches
Hence, the surface area of the square pyramid is 184.29 square inches.
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The surface area of the square pyramid is calculated to be 184.29 square inches.
Because the square pyramid has a square base, its surface area is the sum of the base and the four triangular faces. The area of a square base is simply the square of the side length: Area of base = (7.1 inches)2 = 50.41 square inches
The area of each triangular face can be calculated using the triangle area formula: Triangle area = 1/2 x base x height, where the base is 7.1 inches and the height is 9.4 inches. As a result, the area of each triangular face is as follows: Area of triangle = 1/2 x 7.1 inches x 9.4 inches = 33.47 square inches
The total area of the four triangular faces is, because there are four triangular faces.
133.88 square inches = 4 x (33.47 square inches)
As a result, the square pyramid's total surface area is,
Total surface area = base area + four triangular face areas
= 133.88 square inches + 50.41 square inches
equals 184.29 square inches
As a result, the square pyramid has a surface area of 184.29 square inches.
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
12∣x−6∣−9=5∣x−6∣+7
Pls
Answer:
hi there
12x - 5x - 6x + 6x = 9 + 7
7x + x = 16
8x = 16
x = 16/8
Step-by-step explanation:
hope u understand
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scaled triangle will be larger than the initial size by a factor 2.
The scaled square will be smaller than the initial side by a factor 4.
What is dilation?Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.
Dilation involves scaling an object by a certain factor, that might result in enlarging or reducing its dimensions uniformly in all directions.
Based on the given diagram, the new length and size of the object is calculated as follows;
For the triangle, (measure the length with ruler)
new lengths = 2 times the original lengthoriginal length = 2 cm, new length = 4 cmthe new size of the triangle will increase by a factor 2For the square; (measure the length with ruler)
new lengths = 0.25 times the original lengthoriginal length = 4 cm, new length = 2 cmthe new size of the square will decrease by a factor 4Learn more about dilation here: brainly.com/question/20482938
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A. -4 1/6, 6 2/3
B. -3 5/6, 6 1/6
C. -2 5/6, 1/6
D. -3 1/6, 2/3
Answer: I think it might be (A)
Step-by-step explanation:
help please!! m=5 and n=2. 2m-5n!
Step-by-step explanation:
so, what's the problem ?
it's all there, we only need to take the calculator (or simply our heads) and do the calculation :
2×5 - 5×2 = 10 - 10 = 0
you see ? that was all that was needed.
put the given values for the variables into the places of these variables, and then calculate !
that is what variables are for : placeholders for actual values.
Edgar and June ate 75% of a pizza. If the pizza had 12 slices, how many slices did they eat
Answer:
9
Step-by-step explanation:
100% = 12
12/4= 3
25%=3
3+3+3=25%+25%=25%= 75%
What is the distance between (8,0) and (2,5)
Hank opens a savings account with $850. The account earns 1.2% interest compounded monthly. How much will be in the account after 15 years if he makes no more deposits or withdrawals? Round your answer to the nearest cent.
After 15 years, the amount in Hank's savings account, with no additional deposits or withdrawals, will be approximately $1,044.50.
To calculate the amount in Hank's savings account after 15 years with monthly compounding interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the account
P = the principal amount (initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case:
P = $850
r = 1.2% = 0.012 (as a decimal)
n = 12 (monthly compounding)
t = 15 years
Plugging in the values into the formula, we get:
A = 850(1 + 0.012/12)^(12*15)
A = 850(1.001)^180
A ≈ 850 * 1.228824
A ≈ $1,044.50 (rounded to the nearest cent)
Therefore, after 15 years, the amount in Hank's savings account, with no additional deposits or withdrawals, will be approximately $1,044.50.
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If the standard volume of a
cube is 1.5cm³ calculate the
cm
percentage error in measuring its
volume which is found to be 1.6cm³
A:6.7%
B:-6.7%
C:5%
D:-5%
E:4%
Answer:
6.7 %
which agrees with answer A in your list.
Step-by-step explanation:
If the standard volume is 1.5 cubic cm, and the measured volume is 1.6 cubic cm, then the difference between these two is :
1.6 - 1.5 = 0.1 cubic cm. and therefore the percentage error is given by:
0.1/1.5 = 0.066666...which corresponds to a rounding of 6.7%
Recall as well that percent error is always expressed as a positive number.
Help me solve this please?
The surface area of the triangular prism is 330 centimetres cube.
How to find the surface area of a triangular prism?surface area of a triangular prism = (a + b + c) l + 2(base area)
where
a, b and c are the sides of the basel = height of the prismHence,
surface area = (5 + 12 + 13)9 + 5 × 12
surface area = 30(9) + 60
surface area = 270 + 60
surface area = 330 cm³
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6 eggs weigh 3/4 of a pound. How much does each egg weigh? 1/4 pounds1/6 pounds1/8 pounds2/3 pounds
which expression is equivalent to (5x^3)(4x)^3?
A. 20x^6
B. 320x^6
C. 500x^6
D. 8,000x^6
Answer:
320 x^6
Step-by-step explanation:
(5x^3)(4x)^3
5 x^3 * 4^3 * x*3
5x^3 *64x^3
320 x^6
Answer:
B
Step-by-step explanation:
= 5x^3 * 4^3 * x^3
= 5x^3 *64x^3
= 320x^6
Hope this helps!
Point C has the same y-coordinate as point B and the distance between point B and point C is equal to the distance between point C and the y-axis. Point A has the same x-coordinate as point C and the distance between point A and point C is twice the distance between point B and point C. What is one possible location of point A? How many possible locations are there for point A?
The possible location of point A is (x, y), which is the same as the location of point B and point C, there is only one possible location for point A, and it is the same as the location of point B and point C.
Let's solve this step by step.
First, let's consider the information given:
Point C has the same y-coordinate as point B.
The distance between point B and point C is equal to the distance between point C and the y-axis.
Point A has the same x-coordinate as point C.
The distance between point A and point C is twice the distance between point B and point C.
Let's denote the coordinates of point B as (x, y), and we'll let y be the y-coordinate of point B.
From point 2, we know that the distance between point B and point C is equal to the distance between point C and the y-axis. This implies that point C lies on the vertical line passing through point B. So, the x-coordinate of point C is the same as that of point B, which is x.
From point 1, we know that point C has the same y-coordinate as point B, so the coordinates of point C are (x, y).
From point 4, we know that the distance between point A and point C is twice the distance between point B and point C. Since the distance between two points can be calculated using the distance formula, let's write the equations based on the given information:
Distance between point B and point C = Distance between point C and y-axis
√((x - x)² + (y - y)²) = √(x² + y²)
Simplifying the equation:
0 = √(x² + y²) - √(x² + y²)
This implies that the distance between point B and point C is 0, which means point B and point C coincide. Therefore, point A and point C also coincide since they have the same x-coordinate.
In summary, the possible location of point A is (x, y), which is the same as the location of point B and point C. So, there is only one possible location for point A, and it is the same as the location of point B and point C.
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what is 8 x 1 ????????????
Answer:8
Step-by-step explanation:8x1=8
Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
X' = U - X
= {1,2,3,4,5,6} - {1,4,5}
= {2,3,6}
(ZUX') = {2,3,5} U {2,3,6}
= {2,3,5,6}
(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}
= {2}
need help with math problem if do 5 stars
Answer:
the answer is $41 the cost of beans
6.
5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 – 11r)
-
Answer:
0
Step-by-step explanation:
are given:
\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}
sin(x)−2
sin
2
(x)−sin(x)−2
To make it simpler and more clear, we can let u = sin(x). So:
\displaystyle \frac{u^2-u-2}{u-2}
u−2
u
2
−u−2
Now, it becomes obvious that we can factor, which produces:
\displaystyle =\frac{(u-2)(u+1)}{u-2}=
u−2
(u−2)(u+1)
Cancel:
=u+1=u+1
And substituting back:
=\sin(x)+1=sin(x)+1
Hence, our answer is A.