If the order of the elements matters, we will see that there are 6,972 different possible sets, if the order does not matter, we will see that there are 3,486 possible sets.
The possible elements of the set are positive integers less than 85, then the possible elements are: 1, 2, ..., 84
So we will have a set:
{n, m}
And we know that both n and m are numbers in the interval [1, 84] (we assume that n ≠ m and that order matters.}.
For the first element, we have a total of 84 options to choose.
For the second element, we have a total of 83 options (because we selected one already).
The total number of combinations is just given by the product between the numbers of options, so we have:
C = 84*83= 6,972
There are 6,972 different possible sets.
If order does not matter, then n and m permutations are irrelevant, then the number of combinations is given by C/2:
C/2 = 6,972/2 = 3,486
In this case, there are 3,486 possible sets.
If you want to learn more, you can read:
https://brainly.com/question/25606878
Evaluate: (−1)(− 1)(− 1)(− 1) (− 1)
Answers:
A) −1
B) 0
C) 1
D) 2
Step-by-step explanation:
[tex](−1)(− 1)(− 1)(− 1) (− 1)[/tex]
use the rules for multiplication
[tex] - (1 \times 1 \times 1 \times 1 \times 1)[/tex]
then Calculate the products
= -1
hope it helps!Answer:
A
Step-by-step explanation:
An odd number of negative multipliers results in a negative answer so overall result will be negative.
- 1 × - 1 × - 1 × - 1 ×- 1
= 1 × - 1 × - 1 × - 1
= 1 × 1 × - 1
= 1 × - 1
= - 1 → A
Write the equation of the line passing through the points (15, 2) and (-5, -2)
explain how knowing that the sine of an angle is approximately 0.2588 enables you to find two possible values for the cosine of the angle. Find these values, and tell what information would be necessary to decide which of the two possible values is the correct cosine of the angle.
The required value is the angle theta and the value of the cosine of the angle is 0.9659
Given the expression of sine of an angle expressed as;
[tex]sin\theta = 0.2588[/tex]
For us to get the cosine of the angle, we need to get the value of theta first as shown:
[tex]\theta = sin^{-1}0.2588\\\theta = 14.99^0[/tex]
Next is to get the value of cos theta
[tex]cos \theta = cos 14.99 =0.9659[/tex]
The required value is the angle theta and the value of the cosine of the angle is 0.9659
Learn more here: https://brainly.com/question/13729598
What are the coordinates of the vertex of the graph of the function y=-3x2-12x +3?
Answer:
(-2, 15)
Step-by-step explanation:
y = -3x^2 - 12x + 3
a = -3
b = -12
c = 3
the formula for finding the x value of the vertex is -b/2a
so if we plug in the values into the equation we get
-(-12)/2(-3) = 12/-6 = -2
so our x value is -2
to find our y value we have to plug in -2 for every x we see in the original equation
so -3(-2)^2 - 12(-2) + 3 = -12 + 24 + 3 = 15
15 is our y value
so the vertex is (-2, 15)
6.
Which equation is represented by the graph?
A. y = 3x^2 − 2
B. y = −3x^2 + 2
C. y = 2x^2 − 3
D. y = 2x^2 − 2
Answer:
C. y = 2x^2 − 3
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 0 , − 3 )
Focus: ( 0 , − 23 /8 )
Axis of Symmetry: x = 0
Directrix: y = − 25 /8
x y
− 2 5
− 1 − 1
0 − 3
1 − 1
2 5
Mrs. Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=2x^2+8x+2
Reading Game: R(d)=3x+5
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately.
Answer:
In the middle of a day
Step-by-step explanation:
1) Make it an actual equation
[tex]3x+5=2x^{2} +8x+2[/tex]
2) Cancel integers
[tex]3x + 3 = 2x^{2} + 8x[/tex]
3) Get rid of no exponent variables
[tex]0 = 2x^{2} + 5x - 3[/tex]
4) Factor :D
[tex](2x - 1)(x+3)[/tex]
5) Solve
2x - 1 = 0
x + 3 = 0
They will meet at -3 days (Which doesn't exist!!!) and 1/2 a day.
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I didn't use graphing, nor did I double check my work but I'm quite sure its correct, i'll edit this answer with a graph for brainliest tho :>
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Edit: Eh i'll add a graph cause i'm nice ;-;
ILL MARK BRAINLIEST, PLEASE HELP ME
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batched, but they always use the same ratio of honey to flour. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. how much flour is needed for 15 tablespoons of honey? 17 tablespoons?
Answer:
Step-by-step explanation:
f/h = 10/8
f = 1.25h
f = 1.25(15)
f = 18.75 cups
f = 1.25(17)
f = 21.25 cups
f = 1.25(30)
f = 37.5 cups
f = 1.25(h)
flour (c)
25 1.25 haccording to the table
[tex]f \: \frac{5}{4} \: h \: = \: 1.25 \: h[/tex]
{positive correlation}
when h = 15 ,
[tex]f = \frac{5}{4} \: \times 15 = 18.75[/tex]
when h= 17 ,
[tex]f = \frac{5}{4} \times 17 = 21.25[/tex]
hope it helps!please help and show work will makr as brainliset
Step-by-step explanation:
[tex]5x + 2y = 8[/tex]
[tex]2y = - 5x + 8[/tex]
[tex]y = \frac{ - 5x}{2} + \frac{8}{2} [/tex]
[tex]y = \frac{ - 5x}{2} + 4[/tex]
Option → A
What is the value of x in the equation 19x-3
Answer:
the answer 19 ...........
NAME 7. A travel agent buys 15 train tickets that total $675 for a client. If each train ticket costs the same amount, how much does 1 train ticket cost, in dollars?
Answer:
$45
Step-by-step explanation:
If 15 tickets cost $675, then 1 costs $45.
$675 ÷ 15 = $45
Pls help I’m bad at math
Answer:
I think it might be C. sorry if I'm wrong about it.
Reflect the point (-9, 0) across the x axis
Answer:
This point can't be reflected across the x axis.
Why not, though? It's because the way to reflect a point across the x axis is by making its y value negative. Because you can't make 0 negative, it just results in (-9, 0). In case you mistyped it to x when it was supposed to be y though, your answer would be (9, 0).
Question 3 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
G(= ?
F(x) = x2
G(x) =
O A. G(X) = (x - 3)2
O B. G(X) = (x + 3)2
O C. G(x) = x2 + 3
O D. G(x) = x2-3
Answer:
B. g(x) = (x +3)^2
Step-by-step explanation:
The graph of g(x) = f(x -h) will be a graph of f(x) shifted right h units. Here, the graph g(x) is the graph of f(x) shifted left 3 units. That means h = -3, and ...
g(x) = f(x -(-3)) = f(x +3)
g(x) = (x +3)^2
_____
Additional comment
The vertex of g(x) is the point (-3, 0). You can use these (x, y) values in the offered choices, to see which equation will have that point on its graph.
A: (-3-3)^2 = 36 ≠ 0
B: (-3+3)^2 = 0 . . . . . . . the only viable candidate
C: (-3)^2 +3 = 12 ≠ 0
D: (-3)^2 -3 = 6 ≠ 0
Joe runs 4 miles in 30 minutes. At the same rate, how many minutes would he take to run 10 miles?
Answer:
It would take him 75 minutes or one hour and 15 minutes
Step-by-step explanation:
[] We can set up a ratio and then cross multiply to find our answer
-> Let x be the minutes it takes him to run 10 miles
[] First, we will set up an equation
-> Keeping in mind that miles must be either on the top or the bottom, same goes for minutes, as units must be kept consistent.
[tex]\frac{4miles}{30minutes} =\frac{10miles}{x}[/tex]
[] Then, we will cross multiply
4x = 300
-> Divide both sides of the equation by 4
x = 75 minutes
Have a nice day!
Note: I know this is a very late answer. I just answered this problem elsewhere, and your question popped up as recommended.
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
[tex]\frac{8r-8s}{2r^{2} -2rs} } + \frac{3r^{2} }{rs-r}[/tex]
[tex] = \frac{4s - 4 + 3 {r}^{2} }{r \: s \: - \: r } \\ \\ \\ \\ hope \: \: it \: \: helps[/tex]
Please help missed this lesson
[tex]\frac{5}{12} x 10[/tex]
Step-by-step explanation:
[tex] = \frac{5}{12} \times 10[/tex]
[tex] = \frac{5 \times 10}{12} [/tex]
[tex] = \frac{50}{12} [/tex]
[tex] = \frac{48}{12} + \frac{2}{12} [/tex]
[tex] = 4 + \frac{1}{6} [/tex]
[tex] = 4 \frac{1}{6} [/tex]
Answer:
[tex] \sf 4 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \sf = \frac{5}{12} \times 10[/tex]
[tex] \sf = \frac{5}{12} \times \frac{10}{1} [/tex]
[tex] \sf = \frac{50}{12} [/tex]
[tex] \sf = 4 \frac{2}{12} [/tex]
[tex] \sf = 4 \frac{1}{6} [/tex]
which is correct? out of the answers?
Step-by-step explanation:
the answer is 1 5/6
yep I am sure
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the rates with their equivalent unit rates.
Answer:
I have placed the correct answers in the image above
Answer:
Step-by-step explanation:
Divide the numbers with each other.
Prove that the midpoints of the sides of an equilateral triangle are the vertices of another equilateral triangle.
Answer:
Finding the vertices of the triangle from midpoints short cut If (x 1, y 1) (x 2, y 2) and (x 3, y 3) are the mid-points of the sides of a triangle, we may use the vertices of the triangle by using the formula given below. A (x 1 + x 3 - x 2, y 1 + y 3 - y 2) B (x 1 + x 2 - x 3, y 1 + y 2 - y 3)
Step-by-step explanation:
Write an explicit formula for An, the nth term of the sequence 6, 14, 22, ....
Answer:
An = 6 +8(n -1)
Step-by-step explanation:
The given terms have a first term of 6 and a common difference of 8, so the formula is ...
An = A1 +d(n -1)
An = 6 +8(n -1)
In Year 11 at the school, the ratio of the number of pupils who study Chemistry to
the number of pupils who study Physics is 3:2
(b) 105 pupils in Year 11 study Chemistry.
Work out the number of pupils in Year 11 who study Physics.
Answer:
70
Step-by-step explanation:
Chem : Phy = 3: 2
Since we have 105 pupils studying Chem and let's say we have x students stuyding Phy.
We have :[tex]3:2=105:x[/tex]
[tex]3x=210[/tex]
x=70
Answer:
17.5
105÷3 is 35
37÷2 is 17.5
Can anybody help with this?
Answer:
x=100
Step-by-step explanation:
the sum of all 3 angles in a triangle is always 180 so your problem is: 180 - 35 - 45
Answer:
the answer is 25
Step-by-step explanation:
Each time you are adding ten so 25+10=35
35+10=45.
Or you could just say 45-35=10
and 35-25=10
i need help on this cz i dont get it
Answer:
B. 39 °
Step-by-step explanation:
45 - 4 = 41
41 + 2 = 43
43 -7 = 36
36 - 1 = 35
35 + 3 = 38
38 + 1 = 39
So the answer is 39 ° F
Answer:
It would be 39
Step-by-step explanation:
So its was 45F at the start
then you go down the list
45-4=41
41+2=43
43-7=36
36-1=35
35+3=38
38+1=39
So at 2:00 PM the end temperature was 39 degrees
Hope that helped :D
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Answer:
It's a terminating decimal.
Step-by-step explanation:
15 6/15 = 15 2/5 = 15 40/100 = 15.4
Since 15.4 is a terminating decimal, the answer is that it is a terminating decimal
Answer:
You have the right answer selected, a terminating decimal because it ends and isn't infinite.
What is the highest common factor for 16 and 64
Step-by-step explanation:
the highest common factor is 16
Answer:
16
Step-by-step explanation:
There are 5 common factors of 16 and 64, that are 1, 2, 4, 8, and 16. Therefore, the highest common factor of 16 and 64 is 16.
Please help me on this problem and explain it step by step on how I could get the answer in order to get marked as brainliest!
Answer:
to find the speed per min all i did was divide 450 feet by 60 mins b/c that's how many mins are in an hour and that give me 7.5 so that would be 7.5 feet per min
Step-by-step explanation:
Answer:
589.6 feet per minute
Step-by-step explanation:
half an hour is 30 minutes, you would then divide 450/30=15 which that total will be your speed or mph, then you multiply 88*15=589.6
Graph the linear equation y=−3 .
Answer:
I can't graph the linear equation because I don't know what x is.
There needs to be and x and a y coordinate.
Without writing the equation (y-4)2 = 9(x-4) in the standard form, state whether the graph of this equation is a parabola,circle, ellipse, or hyperbola.
A. parabola
B. ellipse
C. hyperbola
D. circle
9514 1404 393
Answer:
A. parabola
Step-by-step explanation:
The curves ellipse, circle, and hyperbola are formed by a relation between the squares of the variables. Here, the y-variable is squared, but the x-variable is not. This equation describes a parabola.
_____
Additional comments
Its vertex is at (4, 4) and it is compressed horizontally by a factor of 9.
__
The hyperbola equation is the difference of squares; the circle and ellipse equations involve the sum of squares. If the variable coefficients are the same, then the sum of squares equation will describe a circle; an ellipse otherwise.
What is the constant of proportionality for this table?
Time (hr) 2 4 5 9
Pay ($) 16 32 40 72
Question 4 options:
1/8
16
8
2
I WILL MARK BRAINLIEST
Answer: the answer is 1/8
Step-by-step explanation: you divide 2 to 16 the you would get 0.125 and if you divide 4 to 32 its also 0.125 and if you make 0.125 a form of a fraction it is 1/8.
