Answer:
c.{(3,-2),(-4,7),(7,3),(4,8)}
The inverse relation of the set will be {(3, –2), (–4, 7), (7, 3), (4, 8)}. Then the correct option is C.
What is the inverse function?Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by the swapping of x with y and y with x.
The relation of the set is given below.
{(–2,3), (7,–4), (3,7), (8,4)}
For the inverse relation, the coordinate (a, b) will get swapped as (b, a).
Then the inverse relation of the set will be {(3,–2), (–4,7), (7,3), (4,8)}.
Then the correct option is C.
More about the inverse function is given below.
https://brainly.com/question/2541698
#SPJ5
State a simplified algebraic expression that has exactly 3 different variables, exactly 4 terms, and has a degree of 7. Each term must contain at least two variables.PLZ ANSWER ASAP
Answer:
[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]
Step-by-step explanation:
It is required that the algebraic expression has exactly 3 different variables
Let our variables be x, y and z.Since it must have a degree of 7, the highest power in the expression will be 7.
Therefore, an example of such an algebraic expression will be:
[tex]x^7y^2+x^5z^3+y^3z^4+xyz[/tex]
Please answer this question now in two minutes
Answer: x=6, y=20
Step-by-step explanation:
Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.
y=2y-20 [subtract both sides by 2y]
-y=-20 [divide both sides by -1]
y=20
--------------------------------------------------------------------------------------
3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]
36=6x [divide both sides by 6]
x=6
Una persona adeuda $15.000.000 que ya incluye intereses y debe pagarlos dentro de 8 meses. Si hace un pago de $3.000.000 dentro de 2 meses. ¿Cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual?
Answer:
$15,000,000
Step-by-step explanation:
Fórmula de intereses = P × R × T
P = $15,000,000
R = 30% anual = 0.3
T = 8 meses = 8/12 = 0.6667
Intereses = $15,000,000 × 0.3 × 0.6667
Intereses = $3,000,000
Después de 8 meses, el monto a pagar = $15,000,000.00+ $3,000,000
= $18,000,000
Si hace un pago de $3,000,000 dentro de 2 meses, cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual
= $18,000,000 - $3,000,000
= $15,000,000
Diana sold $150.00 worth of products and earns a commission of 3.5%. How much did she earn in commission?
Answer:
$5.25
Step-by-step explanation:
Take $150.00 times 3.5% to get $5.25
150(.035) = 5.25
Answer:
$5.25
Step-by-step explanation:
She earned 3.5% of $150.00.
To find a percent of a number, multiply the percent by the number.
3.5% * $150.00 =
= 0.035 * $150.00
= $5.25
A
The star makes a glide reflection according to the vector (5,0) and reflection line of y = 1. What are the coordinates of A?
Select one:
O a. (-4,0)
Ob.(2,-2)
OC. (-2, 4)
O d. (0,-2)
Shape s is below is exactly one quarter of solid sphere.The volume of the shape s is 1994πcm^2. Find the surface area of s.
Answer: 1035 cm^2
Step-by-step explanation:
Given that the shape s is exactly one quarter of solid sphere.
Where the volume of the shape s is 1994πcm^3.
The formula for volume of a sphere is
V = 4/3πr^3
The volume will be divided by 4 since the given solid is exactly quarter of solid sphere. Then equate it to the given value
1994π = 4/3πr^3 × 1/4
The π will cancel out
1994 = r^3/3
Cross multiply
5982 = r^3
r = cube root of 5982
r = 18.2 cm
The surface area of a sphere is
A = 4πr^2
Substitute r in the formula
A = 4× π × 18.2^2
A = 4141
Since the shape is exactly one quarter of solid sphere. Divide the answer by 4
A = 4141/4
A = 1035.3 cm^2
The surface area of s is therefore 1035.3 cm^2
The surface area of the shape s is approximately 329.53 cm².
Important information:
Shape s is exactly one-quarter of a solid sphere.The volume of the shape s is 1994π cm².Sphere:Volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The volume of one-quarter of a solid sphere is 1994π cm².
[tex]1994\pi=\dfrac{1}{4}\times \dfrac{4}{3}\pi r^3[/tex]
[tex]1994\pi=\dfrac{1}{3}\pi r^3[/tex]
[tex]\dfrac{1994\pi\times 3}{\pi}=r^3[/tex]
[tex]5982=r^3[/tex]
Taking cube root on both sides, we get
[tex]\sqrt[3]{5982}=r[/tex]
[tex]r\approx 18.153[/tex]
Surface area of a sphere is:
[tex]S=4\pi r^2[/tex]
Surface area of one quarter of solid sphere is:
[tex]S=\pi r^2[/tex]
[tex]S=\pi (18.153)^2[/tex]
[tex]S=329.5314\pi[/tex]
[tex]S\approx 329.53\pi[/tex]
Therefore, the surface area of the shape s is 329.53 cm².
Find out more about 'Sphere' here:
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Helppp!!!! please!!!
Answer:
[tex]245[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
If Every side is 7cm, that means that every side is congruent to the other.
So,
[tex]7[/tex]×
There are basically 5 squares, counting the one in the middle.
So, we will multiply 49 by 5.
[tex]5[/tex]×[tex]49[/tex]=[tex]245[/tex] [tex]cm^{2}[/tex]
Hence, your answer will be [tex]245[/tex] [tex]cm^{2}[/tex]
An inverse variation includes the point (5,10). Which point would also belong in this inverse variation?
Answer: A. (10, 5)
Step-by-step explanation:
Inverse variation means xy = k
Given: x = 5, y = 10 --> k = 5(10) = 50
A. 10(5) = 50 This works!
B. -5(10) = -50
C. -10(5) = -50
D. 5(-10) = -50
The only option that results in k = 50 is option A.
Just tell me the steps, not the answer please. This diagram shows the aerial view of a playground. What is the area of the playground to the nearest square yard? Use the value = 3.14.
Area of the circle = π * (35 yd)^2
Let A be the area of the sector subtended by a central angle measuring 80º. Then
A / (π * (35 yd)^2) = 80º / 360º ==> A = 2450π/9 yd^2 ≈ 854.78 yd^2
Subtract from A the area of the triangle, whose base has length 45 yd and with height 25 yd:
A - 1/2 * (45 yd) * (25 yd) ≈ 292.28 yd^2
This is the area of the missing circular segment.
Then the area of the playground is equal to the area of the circle minus this area,
π * (35 yd)^2 - 292.28 yd^2 ≈ 3554 yd^2
can some one help me in this please
Step-by-step explanation:
The least number is 11
N = 11
99 x n = 99 x 11 = 1089
Which is a perfect square
78÷4 68÷7 98÷6
Answer me fast
Answer:
78/4=19.5, 68/7=9.71, 98/6=16.3
Step-by-step explanation:
An irrational number between 5/7 and 7/9 is?
Answer:
Step-by-step explanation:
-----------
5/7 can be written as 0.714285
-----
7/9 can be written as 0.777
∴ An irrational number between 5/7 and 7/9 is 0.72010010001.....
or u ca write other numbers also like
0.73010203.....
0.74090080007.....
I have the olaf needs a total of 3 cups of sugar to make 4 cakes. write and solve an equation to find the number of cups of sugar he needs for each cake. which number line shows of cups of sugar olaf needs for each cake, Wheres 3/4 cups?
Answer: 3/4 cups per cake.
Step-by-step explanation:
He needs 3 cups for 4 cakes.
Then, if you want to know the amount that he needs for each cake, you need to see the quotient between the number of cups and the number of cakes:
S = 3cups/4 cakes = (3/4) cups per cake.
In the number line, 3/4 will be:
0--I--I--(here)--1--I--I--I--2
Help someone please!! Ty
Answer:
Option (B)
Step-by-step explanation:
Let the five distinct positive integers are a, b, c, d, e.
Average of these five integers is 20.
[tex]\frac{a+b+c+d+e}{5}=20[/tex]
a + b + c + d + e = 100
If these integers are in the increasing order,
Median of these integers 'c' = 12
If the sum of d and e is the largest then the sum of a and b will be the smallest.
Therefore, the smallest positive integers a and b will be,
a = 1 and b = 2
1 + 2 + 12 + d + e = 100
15 + d + e = 100
d + e = 100 - 15
d + e = 85
Since d will be greater than the median c,
d > c
d > 12
For the largest value of integer 'e', value of 'd' will be minimum.
The least value of d will be = 13
Then, 13 + e = 85
e = 85 - 13
e = 72
{a, b, c, d, e} = {1, 2, 12, 13, 72}
Therefore, the largest possible number is this set will be 72.
Option (B) will be the answer.
help plsssss! picture below!
Answer:
None
Step-by-step explanation:
If one angle is 95 degrees and other is an obtuse angle (greater than 90 degrees) Say 91 (Just 1 degree greater than 90). So, no triangle would be made because a triangle can never be made from 2 obtuse angles.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A population is the collection of some outcomes, responses, measurements, or counts that are of interest.
Answer:
False
Step-by-step explanation:
This is false because a population represents all and not some. A population is the collection of all outcomes, responses, measurements, or counts that are of interest. It is not a collection of 'some' outcomes. It is a collection of 'all' outcomes.
A population data set is a set which contains all the items or elements of a specified group or data set. It is a complete list of all the possible data values.
The sample of a population are drawn out of a population. They are A subset of a population.
Question 8: Please help. Line f has a slope of −63, and line g has a slope of −84.
What can be determined about distinct lines f and g?
Answer:
The answer is given below
Step-by-step explanation:
The slope of a line is the gradient of the line and is the ratio of the vertical change (change in y) to horizontal change (change in x) between two points. The slope of a line determines its steepness and direction.
A positive slope means the line slants from the right downward while a negative slope means the line slant upwards to the left. The greater the slope of for a positive slope the greater the steepness while for a negative slope the lesser the slope the greater the steepness.
Line f has a slope of −63, and line g has a slope of −84. Since both lines have negative slope, the line slant upwards to the left. The slope of line g is smaller than that of line f, therefore line g is more steeper than line f.
Select the correct answer. The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order? City Altitude (feet) Snowvale 13 Highbridge 58 Westsilver -51 Springmoor -35 A. 58, 13, -35, -51 B. -51, -35, 13, 58 C. -35, -51, 13, 58 D. 58, 13, -51, -35
Answer:
58>13>-35>-51, so A is correct.
Step-by-step explanation:
Altitude of Snowvale: 13
Altitude of Highbridge: 58
Altitude of Westsilver: -51
Altitude of Springmoor: -35
Decreasing order means from greatest to least.
Obviously, positive numbers are greater than negative numbers, so we put the positive numbers first. 58>13>-35>-51.
(Note that with negatives, a greater number is a number closer to zero!)
Answer:
A
Step-by-step explanation:
The altitudes have to be arranged in decreasing order.
58 > 13 > -35 > -51
James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?
Answer:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Step-by-step explanation:
Given that:
Initial Investment, P = $5000
Formula:
[tex]A(t) = P(1.06)t[/tex]
To find: If James invests $5000,
average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?
Solution:
First of all, let us find out A(15) and A(20):
Putting t = 15 first,
[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]
Putting t = 20,
[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]
Average rate of change / year is defined as:
[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]
So, required rate of change:
[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]
So, the answer is:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Question 6(Multiple Choice Worth 3 points) (03.05 MC) Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantity. (−[infinity], 2) (2, [infinity]) (−[infinity], −2) (−2, [infinity]) (−[infinity], 1) (1, [infinity]) (−[infinity], −1) (−1, [infinity])
Answer:
(A)[tex](-\infty, 2)(2, \infty)[/tex]
(−[infinity], 2) (2, [infinity])
Step-by-step explanation:
Given the rational function, f(x) such that:
[tex]f(x)=\dfrac{x+1}{x-2}[/tex]
The domain of the function are the values of x for which f(x) is defined.
A rational function is undefined when its denominator equals zero.
Denominator of f(x)=x-2
x-2=0
x=2
Therefore, f(x) is undefined at x=2.
The domain of f(x) is all therefore all real numbers excluding 2.
This is written in set notation as:
[tex](-\infty, 2)(2, \infty)[/tex]
The correct option is A.
Answer: A (-infinity,2) (2,infinity)
Step-by-step explanation:
Will get lots of points!! Thank you!! Trigonometry
Answer:
Angle B = 75 degrees
AC = 35.7
BC = 9.6
Step-by-step explanation:
Angle A = 15 degrees (given)
Angle C = 90 degrees (given)
c = 37 (given)
Angle B = 90-15 = 75 degrees
AC = AB cos(A) = 37 cos(15) = 35.7
BC = AB sin(A) = 37 sin(15) = 9.6
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This foundation was created to help ease the pain of HIV/AIDS in Africa. Lewis, a Canadian, works for the United Nations trying to determine ways to stop the spread of this deadly disease from crippling an entire continent. [ /6A] Choose a variable to represent the money earned during fundraising activities and the revenue generated for the foundation. [1A] Use these variables to create an equation that will determine the amount of money the foundation will receive. [1A] In their latest bake sale, the club raised $72. Calculate the amount the foundation will receive. [2A] At the end of the year, the World Issues Club mailed a cheque to the foundation for $850. How much money did they fundraise in total? [2A]
Answer:
y=0.6x
(a)$43.20
(b)$1416.67
Step-by-step explanation:
Let:
The amount raised during fundraising activities= mThe amount the foundation will receive =nThe club donates 60% to the foundation.
Therefore, the amount of money the foundation will receive
n=60% of m
n=0.6m
(a) If the club raised $72
m=$72
n=0.6*72
The amount of money the foundation will receive, n=$43.20
(b)If the foundation received a cheque of $850
n=$850
Therefore:
850=0.6m
m=850/0.6
m=$1416.67
The club raised $1416.67 in total for the year
To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps? 10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1
The value of x after completing the steps is -16
Given the equation solved by Lorie expressed as":
[tex]10(0.5x+2) - 5=3(x-6)+1[/tex]
Expand the bracket using the distributive law as shown:
5x + 20 - 5 = 3x - 18 + 1
Collect the like terms:
5x - 3x = -18 + 1 - 20 + 5
Simplify by adding and subtracting
2x = -32
Divide both sides by 2:
2x/2 = -32/2
x = -16
Hence the value of x after completing the steps is -16
Learn more on equations here: https://brainly.com/question/22688504
Which fraction is not equivalent to 7/8
Answer:
C. 15/16
Step-by-step explanation:
A. Divide by 3
B. Divide by 5
C. Can't divide by anything.
D. Divide by 4
Answer:
C
Step-by-step explanation:
21/24 = 7/8
35/40 = 7/8
7/8 ≠ 15/16
14/16 ≠ 15/16
28/32 = 7/8
There is 9 questions. How many do you have to get wrong to get 80%?
Answer: 1
Step-by-step explanation:
If you get a 10/10 on something, it’s 100%. If you get a 9/10, it’s 90%. If you get a 9/9, it’s 100%. So, if you get 8/9, it’s roughly 90% but not exact. It’s actually 88.8%
Answer:
7 questions
Step-by-step explanation:
if 9 = 100%
? = 80%
if less more divides
80/100 ×9
4/5×9
36/5
7.2 which is approximately 7 questions
Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. ( 2X + 15=37 - 2) Write an equation showing how old Ryan is. Solve it fi you can and show your work. 10X - 8 = 9X + 8 solve and show your work
Answer:
1) 10
2) 16
Step-by-step explanation:
1) 2x+15=37-2
2x+15=35
2x=35-15
2x=20
2 2
x=10
2)10x-8=9x+8
10x-9x=8+8
x=16
Hope this helps ❤
Numa caixa ha 8 bolas verdes ,5 bolas vermelhas e 2 bolas azuis. Tira se ao acaso uma bola da caixa. Calcula a probabilidade da bola saida ser: verde ; vermelho; azul : verde ou azul; nao verde
Responda:
P (verde) = 8/15
P (vermelho) = 1/3
P (azul)). 2/15
P (verde ou azul) = 2/3
P (não verde) = 7/15
Explicação passo a passo:
Dado o seguinte:
Número de bolas verdes = 8
Número de bolas vermelhas = 5
Número de bolas azuis = 2
N (verde) = 8
N (vermelho) = 5
N (azul) = 2
Portanto, número total de bolas;
N (total) = 8 + 5 + 2 = 15
Probabilidade = número de resultados requeridos / Total de resultados possíveis
1.) Probabilidade de escolher uma bola verde:
P (verde) = número de bolas verdes / número total de bolas
P (verde) = 8/15
2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas
P (vermelho) = 5/15 = 1/3
3) Probabilidade de pegar uma bola azul:
P (azul) = número de bolas azuis / número total de bolas
P (azul) = 2/15
4) probabilidade de verde ou azul:
P (verde ou azul) = P (verde) + p (azul)
P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3
P (não verde) = 1 - P (verde)
P (não verde) = 1-8/15
P (não verde) = 7/15
Consider the graph shown. What is the slope-intercept form of the equation of the line?
Answer:
y = 2/3*x+2
Step-by-step explanation: let f be our function
The slope m :
m = [f(3)-f(0)]/3-0 = (4-2)/3 = 2/3 so : y= 2/3*x + b b is the intercept with the y-axis wich is 2 so : y = 2/3*x+2Answer:
y = 2/3*x+2
Step-by-step explanation:
Because it is the "Correct Answer"
If x∝y and x=24 when y = 8. Find x when y = 16
3 points
Answer:
x= 48
Step-by-step explanation:
x∝ y
x= ky
24= 8k
k= 3
Now solve for x
x= ky
x= 3x 26
x= 48
I hope it helped
help me please, its mathwatch
Answer:
60 cm^2Solution,
Let ,
a = 13
b = 13
c= 10
then,
s = a + b + c /2
= 13 + 13 + 10 / 2
= 36/2
= 18
Now,
Area of triangle:
[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex] \sqrt{18(18 - 13)(18 - 13)(18 - 10)} [/tex]
[tex] \sqrt{18 \times 5 \times 5 \times 8} [/tex]
[tex] \sqrt{3600} [/tex]
[tex]60 \: {cm}^{2} [/tex]
Hope this helps ....
Good luck on your assignment...