By using the combination formula to calculate the number of unique ways a group can be formed, we find that a coach can divide her 9-player squad into three equal groups in 5600 ways.
Explanation:The student's question is about a concept in mathematics called combinations. A combination is a selection of items without regard to the order in which they are selected. In this particular problem, the tennis coach is dividing her 9-player squad into three equal groups. The number of ways this can be done uses the formula for combinations (nCr) where n equals the total number of items (in this case, players) and r equals the number of items being chosen at a time (in this case, the number of players in each group).
First, the coach can choose the first trio from the nine players using the combination formula 9C3. The second trio is chosen from the remaining 6 players, so this uses the formula 6C3, and for the third trio, which is chosen from the remaining 3 players, the formula is 3C3. Multiplied out, 9C3 x 6C3 x 3C3 equals 280 x 20 x 1 which is 5600. Therefore, there are 5600 unique ways the coach can divide her 9-player squad into three 3-player groups with each player in only one group.
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If the number of bacteria in a colony doubles every 85 hours and there is currently a
population of 500 bacteria, what will the population be 170 hours from now?
bacteria
Answer:
2000 bacteria
Step-by-step explanation:
The number of bacteria double 2 times because 170/85=2. 500 times 2 is 1000 and 1000 times 2 is 2000.
Here is the equation of a circle in standard form.
(x + 10)2 + (y + 9)2 = 100
What is the radius?
A. 100
B. 50
C. 10
Answer:
C
Step-by-step explanation:
The equation is in the standard form for a circle:
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center, and r is the radius
If we compare the 2 equations:
(x-h)^2+(y-k)^2=r^2
(x + 10)2 + (y + 9)2 = 100
We can see that r^2 is equal to 100. Let's set them equal to each other.
r^2=100
Since r is being squared, take the square root of both sides. This will cancel out the exponent.
[tex]\sqrt{r^2}=\sqrt{100}[/tex]
r=10
So, our radius is 10, or choice C
Answer:
c
Step-by-step explanation:
OMY
I was so thrown off my the 2's
square root of 100 = 10
The cross section of rectangular prism A measures 3 units by 2 units. The cross section of triangular prism B has a base that measures 4 units and a height of 3 units. If the length of each prism is 3.61 units, which statement is true?
Check the attached picture for the diagram attached to the question
Answer: VOLUME A = VOLUME B
Step-by-step explanation:
The volume of a prism = cross-sectional area × length
PRISM A:
Rectangular prism
Cross-section, as given above, equals 3units by 2units
Therefore, the Area of the cross-section equals
Area of rectangle= Length × Width
Area of rectangle( 3×2) = 6
Length = 3.61
The volume is 6 × 3.61 = 21.66 unit^3
PRISM B:
Triangular prism:
Cross-section, as given above, equals 4units by 3units
Therefore, the Area of the cross-section equals
Area of triangle = (1/2) × base × height
Area of triangle 0.5 × 4 × 3= 6
Length = 3.61
The volume is 6 × 3.61 = 21.66unit^3
Answer: D) Volume A = Volume B
Please please help me with this question is hard and i will give you a Brainiest and 12 points
Answer:
x=0
Step-by-step explanation:
10(x-2) = -20
10(-2) = -20
A positive multiplied by a negative is a negative.
Hope this helps!
-MoCKEry
Answer:
0
Step-by-step explanation:
10(x−2)=−20
10x -20=-20
10x=0
x=0
Use the interactive tool to plot several points in each quadrant of the coordinate plane. What can you say about all the y-values in quadrant II?
Answer:
All positive. :)
Step-by-step explanation:
took it give me brainelist if it's right ty
Answer:
THE ANSWER IS A
Step-by-step explanation:
What is the value of x in the equation -2/3x + 9 = 4/3x - 3 ?
Answer:
x = 1/6
Step-by-step explanation:
hope it helps.
x= 1/6
Answer: 6
Step-by-step explanation:
[tex]-\frac{2}{3}x+9=\frac{4}{3}x-3[/tex]
Subtract [tex]\frac{4}{3}x[/tex] from both sides to leave variables on the left.
[tex]-\frac{4}{3}x-\frac{2}{3}x+9=\frac{4}{3}x-3-\frac{4}{3}x[/tex]
[tex]-\frac{4}{3}x-\frac{2}{3}x+9=-3[/tex]
Now subtract 9 from both sides to isolate independent variables on the right.
[tex]-\frac{4}{3}x-\frac{2}{3}x+9-9=-3-9[/tex]
[tex]-\frac{4}{3}x-\frac{2}{3}x=-3-9[/tex]
Combine like terms;
[tex]-\frac{6}{3}x=-12[/tex]
Simplify;
[tex]-2x=-12[/tex]
To completely isolate x, divide by -2
[tex]\frac{-2x}{-2}=\frac{-12}{-2}[/tex]
[tex]x=6[/tex]
Find g(x), where g(x) is the translation 7 units up of f(x) = -2x - 9.
Write your answer in the form mx + b, where m and b are integers.
Answer:
g(x) = -2x - 2
Step-by-step explanation:
When translating up, you are changing the y-intercept, b, or in this case, -9.
To solve this, simply add 7 to -9, since you are moving upwards. You will get -2.
Hope this helps!
What is another term for y value
Another term for y value is range.
What is domain and range of function?The domain of a function is a set of values for which the function is defined.
The range of the function is the set of all values that a function takes.
Now in the given question, for another term of y-
Reciprocal- reciprocal means opposite.
Function- function is when the y values do not repeat in a pattern.
Range- Range is another term for a y value.
Independent Value - an independent value is X.
Therefore,another term for a y value is Range.
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The converse of the Pythagorean theorem says that if the side lengths of a triangle satisfy the equation
a
2
+
b
2
=
c
2
a2+b2=c2
, then the triangle is a right triangle. Which triangle is a right triangle?
Clear Check
Answer:
photo please!
Step-by-step explanation:
What is the area of this polygon?
42.5 units²
41.5 units²
35.5 units²
29.5 units²
Step-by-step explanation:
where is the polygon??
No need to worry, I know the original question that was being asked.
Here is the answer to the problem:
4. A ramp is being constructed with wood and then filled with concrete. How many cubic feet of concrete will be needed to complete the ramp?
Answer:2.5
Step-by-step explanation:
Explain the difference between sales tax and income tax.
Answer:
Income tax is a separate issue from sales tax when you're running a small business. Income tax is the amount you pay on your total income from the business to the federal and state government. Sales tax is a percentage amount that your customers have to pay when they purchase certain items from your business.
Step-by-step explanation:
Find the whole.
155% of what number is 93?
155% of what number is 93?:
60
Coby needs to know the area and perimeter of his farm property. The length of his property is 1 6 mile and the width is 2 9 mile. What is the area? The area is sq mi. What is the perimeter? The perimeter is mi.
Answer:
P= 7/9 miles
A= (7/18) miles²
Step-by-step explanation:
Length 'l' = (1/6) mile
Width 'w'= (2/9) mile
Perimeter 'P' is given by:
'P' = 2l + 2w => 2(1/6) + 2(2/9)
P= 7/9 miles
Area 'A' is given by:
A= l x w =(1/6) x (2/9) = (7/18) miles²
can somebody help me answer this question 1 + 1 thank you it's urgent
Answer:1+1=2
Step-by-step explanation:Because 1+1=2
Answer:
2
Step-by-step explanation:
Ohn always wears a shirt, pants, socks, and shoes. He owns 1212 12 12 pairs of socks, 33 3 3 pairs of shoes, 55 5 5 pairs of pants, and 55 5 5 shirts. How many different outfits can John make?
Answer:
900 outfits
Step-by-step explanation:
Assuming that every shirt, pair of pants, pair of socks and pair of shoes are different, the number of different outfits that John can make is determined by multiplying the quantity available of each item (shirt, pants, socks, and shoes):
[tex]n=12*3*5*5\\n=900\ outfits[/tex]
John can make 900 different outfits.
It would be great help!!
Monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cupis ퟖcentimeters in diameter and ퟏퟏcentimeters tall. She starts with a ퟏퟎ-gallon container (one gallon is equivalent to ퟑퟕퟖퟓ풄풎ퟑ)
Answer:
Part A Answer = 206
Part B Answer= 5
Step-by-step explanation:
Part A Explanation:
The formula for volume of a cone is V=(1/3) pi*r^2 h
So then you plug in. V= 1/3 pi (4)^2(11)
You get the radius by dividing the diameter by 2
When you multiply it all it becomes 184.31cm^3 (Save this for later on in this Part A question)
Now we have to find the Volume of the cooler. That would be: 10*3785=37850 Since there were 10 gallons and each gallon is 3785 cm^3 you multiply them together.
Then you divide the volume of the cooler by the volume of the cone cup: 37,850/184.31=205.36 but since you cannot have 205.36th of a cup you need to get another one since 205 would not be enough giving us a total of 206 cups.
Part B explanation: Since there are 50 cups per package you would have to divide 206 by 50. 206/50=4.12 but again since you cannot buy 4.12 of a package you need to buy 5 packages for it to be enough.
Lera brought a watermelon that weighed b kg to a party. Nick brought a box of candies. How much is the weight of the box of candies greater than the weight of the watermelon if the weight of the watermelon is 2/5 of the weight of the box of candies?
IT ISN'T 2.5 OR 1.5
Answer:
The weight of the box of candies is 1.5b kg greater than the weight of the watermelon.
Step-by-step explanation:
Let's begin by listing out the variables we were given:
weight of the watermelon = b (kg),
weight of watermelon = (2/5) * weight of candies
weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4
weight of candies = 2.5b (kg)
How much is the weight of the box of candies greater than the weight of the watermelon is given by:
weight of the box of candies - weight of watermelon= 2.5b - b = 1.5b (kg)
Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg)
Glenn and Maggie own a regional chain of juice bars and are looking to expand in the coming year. They already have fifty shops, but they know they will need a loan to reach their goal of one hundred twenty five shops. Which type of banking institution is most suitable for Glenn and Maggie’s business?
Answer: A commercial bank.
if i could get brainliest that would be great
Step-by-step explanation:
Commercial banks are financial institutions whose functions, among many, are: offering banking services to individuals, groups and companies, to make profit. One of the roles performed by these types of financial institutions is to credit loans to individuals, small businesses, and other groups, and as such, they are the first line to which a small business, such as the one controlled by Glenn and Maggie, would go to, to request a loan to be able to open up their other branches. This bank would give them the loan and allow them to make profit, without having any ties to the banking institution, just as long as they return the investment given to them.
A "commercial bank" is most suitable for Glenn and Maggie’s business. A further explanation is below.
A financial organization generally includes commercials, provides trying to check account management, originates different loans, as well as provides entrepreneurs and business companies with basic investment instruments such as certifications of term deposit funds.Its mission should be to provide financial services around the world as well as businesses while also guaranteeing economic stability.
Thus the above answer is correct.
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Find the whole.
500% of what number is 4,800?
Ashley use 1/5 cup of winegar in her salad dressing recipe. How much
vinegar would Ashley use to make 2/3 of a recipe? *
Answer:
I think the answer is 2/15 but I'm not a hundred percent sure
Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make [tex]\(2/3\)[/tex] of her salad dressing recipe.
To find out how much vinegar Ashley would use to make 2/3 of her salad dressing recipe, we need to calculate the amount of vinegar used in the full recipe and then scale it down to 2/3 of that amount.
In the full recipe, Ashley uses 1/5 cup of vinegar. To make 2/3 of the recipe, we multiply the amount of vinegar needed for the full recipe by 2/3:
[tex]\[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \text{ cup} \times \frac{2}{3} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \times \frac{2}{3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1 \times 2}{5 \times 3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{2}{15} \text{ cup} \][/tex]
So, Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make 2/3 of her salad dressing recipe. Simplifying [tex]\(\frac{2}{15}\)[/tex] gives us [tex]\(\frac{2}{15} = \frac{2 \div 1}{15 \div 1} = \frac{2}{15}\)[/tex], which is already in its simplest form. Thus, the final answer remains [tex]\(\frac{2}{15}\)[/tex] cup of vinegar.
What is the value of q
Answer:
70
Step-by-step explanation:
angles on a straight line add up to 180 degrees add 52+58=100 then minus from 180 =70
how to find function of x
Answer:
By using function notation
This question os incomplete
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1
Given the factors of function f as (x-6) and (x-1), the zeros of the function are 6 and 1.
What are zeros of a function f?In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.
The factors of the function f are (x-6) and (x-1).
The zeros of function f are 1 and 6.
x - 6 = 0 ⇒ x = 6
x - 1 = 0 ⇒ x = 1
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Final answer:
The zeros of function f, given the factors (x - 6) and (x - 1), are 6 and 1. Hence, the correct answer to the student's question is option C: 1 and 6.
Explanation:
The factors of function f are given as (x − 6) and (x − 1). To find the zeros of function f, we need to set each factor equal to zero and solve for x. This gives us the equations:
x - 6 = 0 → x = 6
x - 1 = 0 → x = 1
Therefore, the zeros of function f are 6 and 1. Hence, the correct answer is option C: 1 and 6.
5(x+4)<75
please reply in the next 24 hours asap.
Answer:
x <11
Step-by-step explanation:
5(x+4)<75
Divide each side by 5
5/5(x+4)<75/5
x+4 < 15
Subtract 4 from each side
x+4-4 < 15-4
x <11
Answer:
[tex]x<11[/tex]
Step-by-step explanation:
Solve for x. Divide both sides by 5:
[tex]\frac{5(x+4)}{5}<\frac{75}{5}\\ \\x+4<15[/tex]
Subtract 4 from both sides to isolate x:
[tex]x+4-4<15-4\\x<11[/tex]
x is less than 11.
Finito.
Consider the solid formed by rotating a 2 x 3 rectangle with vertices (2,0), (4,0), (2,3), and (4,3) about the y-axis select all the statements that are true about the resulting figure.
It will be a rectangle in the 3rd quadrant
It will be a solid cylinder with a radius of 2
It will be a hollow cylinder, the central core has a radius of 2
It will have a surface area equal to 56pi
It will have a surface area equal to 48pi
Answer: It will be a hollow cylinder, the central core has a radius of 2 and It will have a surface area equal to 48pi
Step-by-step explanation:
Just did it on algebra nation
someone please help!! i’ll mark you brainliest if answer is CORRECT.
Your friend adds (2.5*10^9) and (5.3*10^8) . Is your friend correct?
Answer:
the correct answer would be 3030000000
Step-by-step explanation:
2500000000+530000000=3030000000
Can someone plz determine the positive integers for me?? ( marking first as brainiest ) ( help is much appreciated:)
Answer:
10: 7 and 4
11: 1 and 3
12: 7 and 8
13: 3 and 5
14: 8 and 9
15: 10 and 14
These should be the answers, check with your teacher too.
Step-by-step explanation: