Answer:
Yes. There can be 56 games (92%) of Exploding Snap every evening throughout September and October that can be played without having the same three Gry ndors play a game twice.
Step-by-step explanation:
This is a combination game without repetition.
The formula for combination without repetition is:
n! /r! (n - r)!
where n = 8 and r = 3
Therefore, n! /r! (n - r)!
= 8! / 3! (8 -3)!
= 40,320 / 6 (120)
= 40,320 / 720
= 56
There are 30 nights in September and 31 nights in October, totaling 61 nights
This implies that 56/61 games can be played in these two months without repeating the same three gamers.
56/61 = 0.918
= 92%
Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.
Question 8 options:
A)
image
B)
image
C)
image
D)
image
Step-by-step explanation:
The given function is :
[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)
It is an equation of parabola. The vertex form for equation of parabola is given by :
[tex]y=a(x-h)^2+k[/tex] ...(2)
Here,
Vertex = (h,k), axis = h and rate = a
From equation (1) and (2) :
a = -1/8, h = 1 and k = -4
The atached graph shows the graph for the given equation.
Can a wheel make 72 revolutions per minute
Answer:
no,i don't think about it
3.3^(2x+1)-103^x+1=0 need solution of this question
Answer:
Concepts of mathematics Answer: x= -1.53PLiss i really need help pliss, plisss
Step-by-step explanation:
I tried. if I got this wrong I might need to go back to kindergarten
the number has three digits that add up to 10 when it is multiply by 0.5 the product is 6.35. whats the number?
Answer:
i know
Step-by-step explanation:
bro
find the coordinates of the centroid of the triangle with the given vertices. D(-4, -2), E(1, 0), F(9, 5)
Answer:
[tex] (x, y) = (2, 1) [/tex]
Step-by-step explanation:
Given vertices of a triangle:
[tex] (x_1, y_1) = (-4, -2) [/tex]
[tex] (x_2, y_2) = (1, 0) [/tex]
[tex] (x_3, y_3) = (9, 5) [/tex]
Using the centroid formula:
[tex] (x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}) [/tex]
Plug in the values into the formula
[tex] (x, y) = (\frac{-4 + 1 + 9}{3}, \frac{-2 + 0 + 5}{3}) [/tex]
[tex] (x, y) = (\frac{6}{3}, \frac{3}{3}) [/tex]
[tex] (x, y) = (2, 1) [/tex]
What is 9 to the power of 4 + 6(7 x 3) - 3?
Answer: 127^9 so 8594754748609400000
Step-by-step explanation: i’m not sure but 4+6 (7x3)-3 = 127 127^9
pls help with this math question
-1 1/2 (-2/5x + 1 1/3) -2 1/2 (3/5x + 1/3)
Answer: -3.73
Step-by-step explanation:
Hope it's correct.
Glad I could help!
Help please
Use the following figure to find the answer
find the value of x that make it true
Answer:
Step-by-step explanation:
1). 10 = [tex]\frac{1+7x}{7+x}[/tex]
10(7 + x) = 1 + 7x
70 + 10x = 7x + 1
10x - 7x = 1 - 70
3x = -69
x = -23
2). 0.2 = [tex]\frac{6+2x}{12+x}[/tex]
0.2(12 + x) = 6 + 2x
2.4 + 0.2x = 6 + 2x
2.4 - 6 = 2x - 0.2x
1.8x = -3.6
x = -2
3). 0.8 = [tex]\frac{x}{x+0.5}[/tex]
0.8(x + 0.5) = x
0.8x + 0.4 = x
x - 0.8x = 0.4
0.2x = 0.4
x = 2
4). 3.5 = [tex]\frac{4+2x}{0.5-x}[/tex]
3.5(0.5 - x) = 4 + 2x
1.75 - 3.5x = 4 + 2x
-3.5x - 2x = 4 - 1.75
-5.5x = 2.25
x = -[tex]\frac{2.25}{5.5}[/tex]
x = - [tex]\frac{9}{22}[/tex]
Determine if the two triangles are congruent. If they are, state how you know.
A. SAS
B. not enough information
C. SSS
D. AAS
Answer:
A. SAS
Step-by-step explanation:
Since the marked angle is between the marked sides, and the corresponding sides are marked as congruent, the two triangles are congruent by SAS (side angle side).
pls help me and really fast
Can someone help with this ?
Answer: b=-12
Step-by-step explanation:
120/-10 = -12
-10b/-10 = b
b=-12
Answer:
b= -12
Step-by-step explanation:
you would divide -10 on both sides of the equation and get -12= b or b= -12.
only odd numbers are prime numbers true or false?
Answer:
False.
:D
幸運を！
There are 32 carpenters in a work crew. On a certain day, 24 were present. What
percent showed up for work?
Answer:
75%
Step-by-step explanation:
24/32 = .75 move decimal twice to the right to change to %
= 75%
HELP NOW
The energy created by the WHAT
gradient is used by ATP synthase to chemically
bond a phosphate group to ADP, synthesizing ATP
in the light reactions of photosynthesis,
Answer:
ATP synthase utilizes energy of the proton gradient to attach phosphate group to ADP.
Step-by-step explanation:
Adélie penguins in the Danger Islands represent about 55% of the total Adélie penguin population in the Antarctic Peninsula. They calculated a total of 1,503,054 penguins on the islands.
What is the total estimated Adélie penguin population in Antarctica?
Answer:
Adélie penguins= 826,680
Step-by-step explanation:
Giving the following information:
Total penguin population= 1,503,054
Adélie penguins= 55%
To calculate the number of Adélie penguins, we need to use the following formula:
Adélie penguins= total penguin polulation*proportion of Adélie penguins
Adélie penguins= 1,503,054*0.55
Adélie penguins= 826,680
what is the answer to the question 1 plus the number 1
Answer:
2
Step-by-step explanation:
1 +1 = 2
if m this is so confusing
PLEASE ANSWER
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled?
Answer:
When 6514 is divided by 214, it equals approximately 30.4. So Daniel will have filled 30 smaller bags.
The solution of 5(x+2) – 3x = 2(x – 5)
Answer:
Step-by-step explanation:
5x + 10 - 3x = 2x - 10
2x + 10 = 2x - 10
0x = -20
no solution
Which equation represents a line which is perpendicular to the line 4x
y = -2?
Answer:
y=4x +7 (top-left)
Step-by-step explanation:
They have the same exact slope meaning they can not cross.
The only time they would cross is if they had the same y-intercept. Which they don't
Solve for x. I’ll give BRAINLIEST!!
Answer:
x = -7
Step-by-step explanation:
Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.
Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.
Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.
Therefore, use the equation below to solve for x:
180 = 54 + 85 + (48 + x)
x = 180 - 54 - 85 -48 = -7
Write an equation for the line that passes through the point -3,2 and is parallel to line 4X + 2Y= -10
9514 1404 393
Answer:
2x +y = -4
Step-by-step explanation:
The equation of the given line can be simplified by dividing all of the numbers by 2:
2x +y = -5
The parallel line can have the same coefficients of x and y, but will have a different constant. The constant will be appropriate to the given point, so will be ...
2x +y = constant
2(-3) +(2) = constant = -6 +2 = -4
The parallel line is ...
2x +y = -4
Below is the total benefit Michelle estimates she would get for eating handfuls of dried cranberries in one sitting. Number of Handfuls Total Benefit (dollars) 1 $2.00 2 $3.50 3 $4.50 4 $5.00 5 $5.25 6 $5.00 7 $4.00 If a handful of dried cranberries costs $0.50, what is the optimal number of handfuls for Michelle to eat? 2 3 4 5 6
Help please don't have to just say how your day is
Answer:
5
Step-by-step explanation:
How can I solve this?
Please use the simplest format
Answer:
option D is true.
Step-by-step explanation:
The right-angled triangle is shown.
From the right-angled triangle,
The angle Ф = 60°
We know that the trigonometric ratio
tan Ф = opposite / adjacent
opposite = 4adjacent = nThus,
tan 60 = 4 / n
√3 = 4/n
n = 4/√3
Thus,
n = 4/√3
= (4 × √3) / (√3 × √3)
= 4√3 / 3
Thus,
n = 4√3 / 3
Using Pythagorean theorem
m = √n²+4²
[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]
[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]
[tex]m=\sqrt{\frac{64}{3}}[/tex]
[tex]m=\frac{8}{\sqrt{3}}[/tex]
[tex]m=\frac{8\sqrt{3}}{3}[/tex]
Thus,
[tex]m=\frac{8\sqrt{3}}{3}[/tex]n = 4√3 / 3Therefore, option D is true.
If cos a= 0.93,Sin 0 =0.26, and tan ß = 0.84, find a + B + 0.
Answer:
76.665
Step-by-step explanation:
Given that,
cos α = 0.93, Sin θ =0.26 and tanβ = 0.84
We need to find the value of α, β and θ
[tex]\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07[/tex]
So,
[tex]\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665[/tex]
Hence, the final answer is 76.665.
NEED HELP ASAP PLEASE AND THANK YOU IN ADVANCE
Answer:
C
Step-by-step explanation:
Simplify the expression shown below:
log(10^6 X^2), where x > 0
Answer:
2^6 Times 5^6x^6
Step-by-step explanation:
(2x+1)^2 - (x+3)^2 simplify
Answer:
Step-by-step explanation:
steps are below
step 1
(2x+1)^2 - (x+3)^2 equation
step 2
4x^2+4x+1+(-x^2)+(-6x)+(-9) distribute
step 3
4x^2+4x+1+(-x^2)+(-6x)+(-9)
(4x^2+-x^2)+(4x+(-6x)+(1+(-9) combine the like terms
3x^2-2x-8