Hey there! I'm happy to help!
When dealing with picking things and finding the number of possibilities, we can be dealing with two different types of things: permutations or combinations. We use permutations when order is important to the groups and we use combinations if order is not important.
It appears here that order is not important here as the subcommittee doesn't have to be in a specific order, so we will be using combinations.
So, we have ten seventh graders to choose from. Then we will have 9, and then 8. So, we multiply these numbers of choices.
10×9×8=720
Now, we need to divide by 6. This is to show that order doesn't matter. Why? Because there are 6 possible ways to organize 3 seats on the committee (3×2×1), and we want to divide out all of the different orders so it is just the specific group of people and not their different organizations that are counted.
720/6=120
Now, we need to find this with the eighth graders.
8×7×6=336
And we divide by the number of seats factorial (3 seats for the eighth graders, so 3×2×1=6 again)
336/6=56
Now, we multiply our numbers for seventh and eighth graders to find all off the possibilities.
120×56=6720
So, there are 6720 subcommittees possible.
Have a wonderful day and keep on learning! :D
Determine the period.
Answer:
4
Step-by-step explanation:
The period is the length of one cycle.
By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.
The length of one cycle of this graph is 4.
The period of function is,
P = 4
Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.
Here, Graph of function is shown.
Hence, The period of function is,
P = 4
Therefore, The period of function is,
P = 4
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Which of the following is a radical equation?
x^3=13
x+√3=13
5x + 3 = 13
X+3= 13
Answer:
none
Step-by-step explanation:
Radical equation is an equation un which variable involve under the radical sign.
but in all given equation not a single variable is under radical sign.
Note: if you need to ask any question please let me know.
This polygon is a Quadrilateral (4 sided
2
figure). Based on the interior angle sum,
find the value of x.
80 degrees
to
60 degrees
xº
to
O 100 degrees
O 110 degrees
Answer:
Step-by-step explanation:
3x° + 60° = 360°
3x = 360 - 60
3x = 300
x° = 100°
Identify the sample space of the probability experiment: shooting a free throw in basketball.
The sample space of the probability experiment: shooting a free throw in basketball. is [tex]n(X)=2[/tex] from the calculations below
Sample space:In probability theory, the sample space (also called sample description space of an experiment or random trial is the set of all possible outcomes of the experiment.
Let
The sample space for a player shooting single free throws be equal to X
Let Scored free throws be A
And missed free throws be B
Generally the possible outcomes is mathematically given as
[tex]X=(A,B)[/tex]
Therefore
In conclusion the Sample space of the probability experiment of shooting a free throw in basketball is
[tex]n(X)=2[/tex]
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2x+3y=19 // 6x+2y=22
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
I Need help!!!
There are 36 students on the
school's student council. A special homecoming dance committee is to be formed by
randomly selecting 8 students from student council. How many possible committees can be formed?
1,043,460
27,907,200
30,260,340
Answer:
this is your answer 30,260,340
Answer ASAP please!
….
Answer:
A
Step-by-step explanation:
Cos=A/H
Cos35=x/28.7
28.7×cos 35
Answer:
the answer is A
I hope this helps out
Help me plz thank you
Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)))/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
convierte los decimales a fracción:
a) 3, 1233333 =
b) 4, 3855555 =
c) 37, 22222 =
d) 16, 2929292929 =
e) 2, 33333333 =
(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that
1000x - 100x = 3123.333… - 312.333…
==> 900x = 2811
==> x = 2811/900 = 937/300
(b) x = 4.38555… ==> 100x = 438.555… and 1000x = 4385.555…
==> 900x = 3947
==> x = 3947/900
(c) x = 37.222… ==> 10x = 372.222…
==> 9x = 335
==> x = 335/9
(d) x = 16.292929… ==> 100x = 1629.292929…
==> 99x = 1613
==> x = 1613/99
(e) x = 2.333… ==> 10x = 23.333…
==> 9x = 21
==> x = 21/9 = 7/3
Somebody help me please!!!!!!!!!
Answer:
[tex](x-5)^2+(y+3)^2=10[/tex]
Step-by-step explanation:
equation of a circle: (x – h)^2 + (y – k)^2 = r^2 where (h,k) is the center
The center of the circle is at (5, -3)
(x-5)^2+(y+3)^2
To find the radius, use distance formula: [tex]\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_{2})^2}[/tex]
[tex]\sqrt{(6-5)^2 + (3)^2}[/tex]
[tex]\sqrt{1^2 + 3^2} = \sqrt{1+9} = \sqrt{10}[/tex]
[tex](x-5)^2+(y+3)^2=10[/tex]
Simplify
1/3(1 - 1/4)*
Enter your answer , as a simplified fraction in the box
Answer:
1/4
Step-by-step explanation:
1/3(1 - 1/4)
Parentheses first
1/3 (4/4-1/4)
1/3 (3/4)
Rewritng
1/4 *3/3
1/4
Answer:
3/12 or 0,25
Step-by-step explanation:
What is the correct answer!
Answer:
The answer is B.
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
Which of the following is a correct sine ratio for the figure? Question 20 options: A) C = 5∕12 B) C = 5∕13 C) C = 12∕13 D) C = 13∕12
Answer:
B
Step-by-step explanation:
Sine is opposite/hypotenuse. Sine C would be 5/13 so option B is correct.
A. Find x
B. Find the measure of angle b
C. Find the measure of angle c
Answer:
3, 50 and 70
Step-by-step explanation:
Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3
B=15x+5=50
C=22x+4=70
Determine the value of k if 12x2 + kx/ 4x= 3x – 5.
Answer:
k = -20.
Step-by-step explanation:
Do the division:
4x ) 12x^2 + kx ( 3x
12x^2 + k/4
So k/4 = - 5
k = -20.
D= -2
E = [1 2]
17. Multiply matrix D by matrix E.
A. 2
B. [
48]
5 101
C.-2-4
1 2
D.
5-2 1
4 2
Answer:
here's the answer to your question
A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 9 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
285pound
Step-by-step explanation:
Volume of the container = length * width * height
= 13 * 9 * 4
= 468 cubic feet
Weight of the contents in the container = 468 * 0.61 = 285.48 = 285pound
HELP FAST PLEASE!!! NEED ANSWER IN LESS THAN 10 MINUTES!! WILL GIVE BRAINLIEST!!
1. Compute -2 to the power of -3 × -3 to the power of -2.
2. Compute 2^10 x 2^8 x 2^6 x 2^4 x 2^2 x 2^-1 x 2^-3 x 2^-5 x 2^-7 x 2x-9.
3. Compute 2^16 x 4^-8 x 8^4 x 16^-2
TYSM for your help!!
1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888
2. -294912
3. 16
On another map, the distance between Saugerties and
Kingston is 2 inches. What would the distance from
Saugerties to Catskill be on this map?
Answer:
10miles
Step-by-step explanation:
Answer:
I have no clue what is going on wit dis g
Find the value of x in the diagrams below
Answer:
1. x = 24
2. x = 31
Step-by-step explanation:
For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.
For number 2, 2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.
Answer:
1. 24
2. 31
Step-by-step explanation:
1. opposite angles are equal
( 3x-1)°=71°
3x=72
x=24
2. remember opposite angles are equal,
180°= (2x)°+(4x-6)°
186=6x
x=31
One number is six times another number. Their difference is 35. Whàt are the two numbers?
Answer:
7 and 42
Step-by-step explanation:
The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42
The sum of two numbers is 71648.one of the number is 7 times the other.find the numbers
Answer
8956
explanation step by step
Answer: numbers are 8956 and 62692
Step-by-step explanation:
Let the numbers be x and 7x
ATQ
x + 7x = 71648
8x = 71648
x = 71648/8
x = 8956
Therefore the numbers are 8956 and 62692 respectively
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Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain
Answer:
Step-by-step explanation:
No, because unit prices are different.
[tex]\frac{9.00}{150}[/tex] = $0.06 per gram
[tex]\frac{12.50}{250}[/tex] = $0.05 per gram
[tex]\frac{22.75}{325}[/tex] = $0.07 per gram
what's the volume of a rectangular prism if it has a length of 20 inches and a width of 12 inches and a height of 6 inches
Answer:
1440 in^3
Step-by-step explanation:
The formula for finding volume is l*h*w.
l*h*w is length multiplied my height multiplied my width. Lets use this formula to find the volume of the rectangular prism.
Here is the information we know about the rectangular prism:
the length is 20 inches
the height is 6 inches
the width is 12 inches
Lets put this information into the formula to find the volume of the rectangular prism. I will show the work in steps so it is easy to follow.
Step one: plug the given information into the formula.
l*h*w = 20*6*12
Step two: Solve the equation.
20*6*12 = 120*12 = 1440
And there you have it! Our final answer is 1440 in^3.
I hope this helps!
Geometry, please answer question ASAP
Answer:
length = 11 ft
breathe = 5 ft
perimeter of rectangle = lxb
= 11ft x 5ft
= 55 ft
the answer is 55 ft
Answer:
Perimeter of rectangle = 2(l+b)
=2(11+5)
=2x16=32ft
2. For all real numbers x and y, (2x + 3y)² = ?
Answer:
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 2x ; b = 3y
(2x)²= 2x * 2x = 4x²
(3y)² =3y * 3y = 9y²
(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²
= 4x² + 12xy + 9y²
Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Answer:
Does the answer help you?
Round 96.1825899389 to 4 decimal places.
Can someone please help me with writing a flowchart proof?
The two triangles are equivalent triangles
Flowchart proofs are organized with boxes and arrows.
The statements given are written in the box and the reason of that statement is written just below the box.
Every statement if flowchart proof complements other statement.
The correct answer is
∠AZ = ∠BX
The two triangles are equivalent triangles.
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Write the equation of the line that passes through the points (−4,1) and (−9,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Help plz
Step-by-step explanation:
gradient(m)=change in y/change in x
=5-1/-9-(-4)
=4/-9+4
=4/-5
equation now
y-y1=m(x-x1)
y-1=4/-5[x-(-4)]
y=4/-5(x+4)+1
y=-4/5x-16/5+1
y=-4/5x-21/5
Answer:
y = -4/5x - 11/5
Step-by-step explanation:
First, find the slope using the slope formula.
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{1-5}{-4-(-9)}\\\\m=-\frac{4}{5}[/tex]
Then, use the point-slope formula and substitute the values for the variables. I'll use (-4, 1) in this instance.
[tex]y-y_1=m(x-x_1)\\\\y-1=-\frac{4}{5}(x+4)\\\\y-1=-\frac{4}{5}x-\frac{16}{5}\\\\y=-\frac{4}{5}x-\frac{11}{5}[/tex]
