Rule 1: The output is the square of the input. For example, if the input is 3, then the output would be 9 (3 squared).
Rule 2: The output is 90 greater than the input. For example, if the input is 3, then the output would be 93 (3 + 90).
These are the two rules you've provided, and they describe how to calculate the output (y) based on the input (x).
Rule 1: The output is the square of the input.
In this rule, when you have an input value (let's call it x), you square it (multiply it by itself) to get the output value (y). Mathematically, this can be written as:
\(y = x^2\)
Rule 2: The output is 90 greater than the input.
In this rule, when you have an input value (x), you add 90 to it to get the output value (y).
Mathematically, this can be written as:
y = x + 90.
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How many solutions does this equation have? 4x+(-3x+2)=2x+5-2
Answer:
One Solution
Step-by-step explanation:
So we have the equation:
\(4x+(-3x+2)=2x+5-2\)
On both sides, combine like terms:
\((4x-3x)+2=2x+(5-2)\)
Simplify:
\(x+2=2x+3\)
Subtract x from both sides. The left cancels:
\((x+2)-x=(2x+3)-x\\2=x+3\)
Subtract 3 from both sides. The right cancels:
\((2)-3=(x+3)-3\\-1=x\)
Flip:
\(x=-1\)
So, our equation only has one solution.
And the answer is -1 :)
Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.
The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.
Answer:
Y=KX so its 10=K2
Step-by-step explanation:
Plug in the Number OR K=y/x
Please tell me the answer I need it now... please
Answer:
Your answer is C!
I need help asap! I'm perplexed please help me!
Answer:
110 m²
Step-by-step explanation:
Total area = area of parallelogram + area of trapezoid
= (11)(6 - 2) + (1/2)(6)(15 + 7)
= 44 + 66
= 110 m²
For 2021, Gourmet Kitchen Products reported $22 million of sales and $19 million of operating costs (including depreciation). The company has $14 million of total invested capital. Its after-tax cost of capital is 9% and its federal-plus-state income tax rate was 25%. What was the firm's economic value added (EVA), that is, how much value did management add to stockholders' wealth during 2021?
The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Net operating profit = (22 million - 19 million)*(1 - 0.36)
= $1.92 million
EVA = net operating profit after taxes - invested capital*WACC
= 1.92 million - 15 million*0.10
= $0.42 million
Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.
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Mr Malone purchase five packages of notebooks for his class to use each packages contains six notebooks how many notebooks does Mr Malone purchase in total
Answer:
30
Step-by-step explanation:
5x6=30
50 POINTS!! WILL MARK BRAINLIEST!!! Is ΔP'Q'R' a 180° rotation about the origin of ΔPQR? Use the drop-down menus to explain your answer.
Answer:
No that would be a 90 degree
Step-by-step explanation:
A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an algebraic expression that represents the number of children in each room.
Answer:
Number of children in each room = c / 3
Step-by-step explanation:
Given:
Number of rooms in care center = 3
Number of children attend the center = c
Find:
Number of children in each room
Computation:
Number of children in each room = Number of children attend the center / Number of rooms in care center
Number of children in each room = c / 3
What is the base and exponent of x^5
Answer:
The base is x and the exponent is 5.
Step-by-step explanation:
Hi there!
\(x^5\)
The base is x and the exponent is 5.
x is raised to the exponent of 5.
I hope this helps!
Let A= {1 , 2 , 3 , ... ... ...... , 10} and R = {(a, b): a ∈ A , b ∈ A and a + 2b = 10} Find the domain and range of R.
In domain and range of a relation, if R be a relation from set A to set B, then
• The set of all first components of the ordered pairs belonging to R is called the domain of R.
Thus, Dom(R) = {a ∈ A: (a, b) ∈ R for some b ∈ B}.
• The set of all second components of the ordered pairs belonging to R is called the range of R.
Thus, range of R = {b ∈ B: (a, b) ∈R for some a ∈ A}.
Therefore, Domain (R) = {a : (a, b) ∈ R} and Range (R) = {b : (a, b) ∈ R}
(x + 1) (x+8) multiply binomials and put in standard form.
Answer:
x² + 9x + 8
Step-by-step explanation:
Step 1: FOIL
x² + 8x + x + 8
Step 2: Combine like terms
x² + 9x + 8
Answer:
x^2 + 9x + 8
Step-by-step explanation:
(x + 1)(x + 8)
x(x + 1) +8(x + 1)
x^2 + x + 8x +8
x^2 + 9x + 8
(PLEASE ANSWER THIS SERIOUSLY! ITS FOR A TEST) Move the yellow dots in order to make the segments intersect. Let the intersection be called point X. Make the lines intersect in such a way that ∠TXV is an obtuse angle less than 135°. Afterwards, use the protractor to determine the precise measure of all four angles. You should redraw the lines if ∠TXV is not the proper size.
Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.
Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°
So,Let's keep ∠EIH = 140°
Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)
Now,The Sum of all angles around I will be 360 degrees.
So,140 + x + 140 + x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.
Solve the inequality for x.
4 − 4x < 16
x < −3
x > −3
x > 3
x < 3
Answer:
x > -3
Step-by-step explanation:
4 - 4x < 16
- 4x < 16 - 4
- 4x < 12 (note that both can be divided by -4)
x > -3
That's the final answer.
AND if you're co fused about why the sign changed, you should always remember this
• ALWAYS change the inequality sign when you divide (÷) or multiply (×) by a negative numberBy negative num I mean any number that starts with a minus for example -2, -3, -5, -100
What is the constant of proportionality?
Answer:
Your bottom
Step-by-step explanation:
Find the area of the rectangle.
Answer:
2 in
Step-by-step explanation:
PLEASE ANWSER ASAPPPP
brief statement Bosnian Crisis.
Answer:
The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.
Step-by-step explanation:
hope this helps
Kate deposit 800 dollars in a bank account that pays 4% in simple interest. How much interest does Kate receive over 5 years
Answer:
she earns 160 dollars in 5 years
briefly explain the advantages and disadvantages of using a repeated-measures design as opposed to an independent-measures design
Answer:
The advantages as well as drawbacks of repeated measures are described below, as opposed to individual measures.
Step-by-step explanation:
A drawback though is that the respondents would be included in the analysis for some of the circumstances throughout the trial within the replicated measurement method, while different interventions should be included in the research for varying environments throughout the independent measure model.Some other benefit of using this design would be that all assessments have always had similar participants, therefore fewer sample participants have required again for research, although the independent measure needs further respondents. Comparison to just the independent calculation, the price for the replicated calculation is higher even though the same subjects are used in the analysis for different circumstances.The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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A rectangular block has a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. Four blocks are stacked to create a tower. What is the volume of the tower? O A. 56 in 3 O B. 140 in 3 O C. 280 in O D. 336 in
The volume of the tower is 224 in³, which is not listed among the given options.
To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.
Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,
V = length × width × height.
In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.
V = 8 × 3.5 × 2 V
= 28 × 2 V
= 56 in³
Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³
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An investor wants to save money to purchase real estate. She buys an annuity with yearly payments that earn 5.3% interest compounded annually payments will be made at the end of each year find the total value of the annuity in 16 years if each yearly payment is 693.
The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV is the future value of the annuity,
P is the yearly payment,
r is the interest rate per compounding period, and
n is the number of compounding periods.
In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.
Let's substitute these values into the formula and calculate the total value of the annuity:
FV = 693 * ((1 + 0.053)^16 - 1) / 0.053
FV = 693 * (1.053^16 - 1) / 0.053
Using a calculator, we can evaluate the expression inside the parentheses:
1.053^16 ≈ 1.9738
Substituting this value back into the formula:
FV = 693 * (1.9738 - 1) / 0.053
FV = 693 * 0.9738 / 0.053
FV ≈ 12739.62
Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
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Ver en español
Martha recorded the eye colors of the people who have already signed up for a lecture on genetics.
gray 1
brown 10
hazel 1
green 1
blue 7
Considering this data, how many of the next 16 people to sign up should you expect to be brown-eyed?
Answer:
8
Step-by-step explanation:
since martha counted 10/20 had brown eyes thats about 50 percent, simple ratios 10/20= ×/16 you get 8martha conto 10 de 20 personas con ojos cafes, eso quiere decir que 50 por ciento de los contados tenien ojos cafès, 50 porciento de 16 es 8
Which of the following numbers is included in the graph of 3x +8 > -2x - 16
a) -5
b) -6
c) -4
d) -20
The answer is Option (C) -4.
Find the area of the triangle
Answer:
The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h. This formula is applicable to all types of triangles, whether it is a scalene triangle, an isosceles triangle or an equilateral triangle. It should be remembered that the base and the height of a triangle are perpendicular to each other.
= (1/2 × 9 × 2) m^2
= 9 m^2
Answer:The area of the triangle is 9 m^2.
Hope it helps.
Do comment if you have any query.
please help me with this!
•
•
•
Answer:
y=-2 is y intercept, graph opens upward like a smiley face
a=3 ,b=1, c=-2
Step-by-step explanation:
1.the graph opens upward since 3x^2 is positive
2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...
3(0)^2 + (0) -2 =y so y=-2 is y intercept
y=ax+bx+c
y=3x^2+x-2
a is represented by 3
b is 1 since x is positive
c is -2
A local band sells out for their concert. They sell all 1,175 tickets for a total purse of $28,112.50. The tickets were priced at $20 for student tickets, $22.50 for children, and $29 for adult tickets. If the band sold twice as many adult as children tickets, how many of each type was sold
Answer:
225 children tickets, 450 adult tickets and 500 student tickets were sold
Look at the statement below.
All right triangles are isosceles.
Which example proves this statement is false?
Answer:
B
Step-by-step explanation:
It is a 3-4-5 right triangle
The example Option B is False as it is a right triangle with base lengths 3 , 4 and 5
Hence , the example B is not an isosceles triangle
What Is an Isosceles Triangle?
A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
The three types of Isosceles Triangles are :
Isosceles acute triangleIsosceles right triangleIsosceles obtuse triangleGiven data ,
A)
From the figure Triangle A
In this Triangle , the two sides are of equal length and one side is different
So , the triangle is an isosceles triangle
B)
From the figure Triangle B
In this triangle , all the three sides are different and it is also a right angled triangle with different lengths
So , the triangle is not isosceles
C)
From the figure Triangle C
In this Triangle , the three sides are of equal length , so it is also an isosceles triangle
So , the triangle is an isosceles triangle
D)
From the figure Triangle D
In this Triangle , the two sides are of equal length and one side is different
So , the triangle is an isosceles triangle
Hence , the example B is not an isosceles triangle and is FALSE
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I ned help. can u tell me the answer. I don't need an explanation please I don't have much time
we have SPQR similar to OLMN
so
SP/OL=PQ/LM=QR/MN=SR/ON
to find out MN
PQ/LM=QR/MN
QR/MN=SR/ON
SP/OL=QR/MN
therefore
substitute given values
6/3=5/x
5/x=8/4
4/2=5/x
the answer isoption D