The different groups of 5 can be formed from the 10 volunteers is,
⇒ 252
What is the permutation and combination?Permutation and Combination form the principles of counting and they are applied in various situations.
A permutation is a count of the different arrangements which can be made from the given set of things. In permutation the details matter, as the order or sequence is important.
Here given that,
A blood bank needs 5 people to help with a blood drive. 10 people have volunteered.
Here, We get;
The different groups of 5 can be formed from the 10 volunteers is,
⇒ ¹⁰C₅
⇒ 10! /5! 5!
⇒ 10×9×8×7×6 / 5×4×3×2
⇒ 252
Thus, The different groups of 5 can be formed from the 10 volunteers is,
⇒ 252
To know more about the permutation and combination
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Lin runs 5 laps around a track in 6 minutes.
Answer:
If you want to know laps per minute it is 5 laps / 6 min = 0.83 laps per min
Step-by-step explanation:
use the distributive property to write an expression that is equivalent to each given expression. -3(2x-4)
Answer:
-6x+12
Step-by-step explanation:
-3(2x-4)
First, -3 distributes to 2x to make it -6x.
Then -3 distributes to -4. A negative times a negative is a positive so it will equal 12.
3 less than 5 times a number
Answer:
5x-3
Step-by-step explanation:
x= "a number"
5 times x= 5x
3 less that 5x=
5x-3
Hope this helps!
Answer:
5x-3
Step-by-step explanation:
less than means it comes after
5 times a number
5x
3 less than
5x-3
Chelsea is trying to determine which cell phone company is best. Company A charges a base fee of $25 and $0.05 per minute. Company B charges a flat monthly fee of $40. write an equation to determine the time in minutes that results in the same monthlt cost for both companies.
Answer:
If Chelsea uses more then 300 minutes a month then company B, if not she should chose company A
Step-by-step explanation:
40-25=15
15/0.05=300
please help me I'm struggling
At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 6.4 cm/s?
Answer:
11.08 cm/s
Step-by-step explanation:
Here it is given that the edges of a cube are increasing at a rate of 6.4 cm/s . And we need to find out the rate at which the diagonals are increasing . If we assume each side of the cube to be x , then ;
[tex]\longrightarrow \dfrac{da}{dt}= 6.4 \ cm/s\dots (i) [/tex]
Now we can find diagonal as ,
[tex]\longrightarrow d = \sqrt{ length^2+breadth^2+height^2} [/tex]
Here l = b = h = a ; so ,
[tex]\longrightarrow d =\sqrt{ a^2+a^2+a^2} [/tex]
Simplify,
[tex]\longrightarrow d =\sqrt{3a^2} [/tex]
Take out a from square root,
[tex]\longrightarrow d =\sqrt3 a[/tex]
Now , we can find the rate of change of diagonal as ;
[tex]\longrightarrow r =\dfrac{d\sqrt3 a}{dt} [/tex]
Take out the constant,
[tex]\longrightarrow r = \sqrt3\dfrac{da}{dt} [/tex]
From equation (i),
[tex]\longrightarrow r = 1.732 \times 6.4 \ cm/s [/tex]
Multiply ,
[tex]\longrightarrow \underline{\underline{ rate_{of\ change \ of \ diagonals}= 11.08\ cm/s}}[/tex]
This is the required answer!
If the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s
At what rate does the diagonal increase?
The diagonal of a cube of side length S is given by:
d = S*√3
In this case, we know that the side length increases at a rate of 6.4 cm/s, then we can write:
S = S₀ + 6.4cm/s*t
Where S₀ is the initial side length, replacing that on the diagonal formula we get:
d = (S₀ + 6.4cm/s*t)*√3
Now if we differentiate it with respect to the time t, we get:
d' = 6.4cm/s*√3 = 11.1 cm/s
So, if the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s.
If you want to learn more about rates of change, you can read:
https://brainly.com/question/8728504
Can someone help me with this question pls
Answer:
20 student who have a screen time of 12 or more hours have a grade below 80
hi you can help me plis
Answer:
14
I hope it works for you
How are the equations in problems 2a and 2b alike? how are they different?
write 30/36 in its simplest form
Answer:
6/5
Step-by-step explanation:
Answer:
5/6
the lowest number from 30 is 5x6 which is 30.
6x6 = 36
therefore,
5/6
Help I'm trying to do this but i cant
Answer:
Learn PEMDAS on YT
Step-by-step explanation:
Which number line shows the solution to the inequality −3x−5<−2?
Answer: it’s A (u gotta trust me on this)
When renting a car, the cost per mile is inversely proportional to the number of miles driven. At Zippy Car Rentals, if the standard model car is driven for 300 miles, then the cost per mile is $0.25.
At Zippy Car Rentals, the constant of variation is
for a standard car rental. If that rental car is driven for 375 miles, then the cost per mile is $
.
Answer:
.20 per mile.
Step-by-step explanation:
300 x .25 is 75. 75/375 is .20
A recipe calls for 5 teaspoons of orange juice. A can of orange juice is 22 fluid ounces. How many teaspoons of juice are in the can?
Answer: 132-5=127
Step-by-step explanation:
22 ounces in teaspoons is 132 -5=127
Solve 4(x – 5) = 18
pl show working out
What are the matches
Here is your answer!
|-7.1| 7.1
|-3.1 + 8.8| 5.7
|2.7 + 4.2| 6.9
|4-9| 5
Explanation:
The absolute value of something is the distance of a number from zero, regardless of direction. The distance is always positive, as absolute value of a number cannot be negative.
find the perimeter of a rectangle whose length is 18 m and breadth is 5 m
Answer:
46m
Step-by-step explanation:
2(18)+2(5)=46
Answer:
46mStep-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides.
18 + 5 + 18 + 5 =
46m
You have 2 one-dollar bills and 1 five-dollar bill in your pocket. What is the probability that you randomly choose a one-dollar bill from your pocket?
You have a total of 3 bills ( 2 one dollar and 1 five dollar)
There are two chances out of the three of getting a one dollar bill.
This is written as 2/3 probability
Answer: 2/3
Thomas lives 350 350 miles from the beach. He drives to the beach at an average rate of 50 50 miles per hour. Use that information and the diagram to complete the statements below. Home is 350 miles from the beach. 50 miles in 1 hour. There are 300 miles remaining. CLEAR CHECK As time increases from 0 0 to 7 7 hours, the distance traveled . As time increases from 0 0 to 7 7 hours, the distance remaining . As time increases from 0 0 to 7 7 hours, the distance from home to the beach
What is the inequality shown?
Answer:
See below.
Step-by-step explanation:
The inequality is a range, since there is no line going one way, but two points on either side of the line.
-4<x≥5(Or -4<0≥5, can't remember the format)
-hope it helps
What is the area of this triangle?
150 cm²
210 cm²
315 cm²
420 cm²
Answer:
what triangle where is the triangle?
please help i’ll mark brainliest
Answer:
13 cubes
Step-by-step explanation:
cube is a 3D square basically
so you can do the volume
2 * 1 * 7/4
14/4
14/4 and you divide it by 1/4
14/4 ÷ 1/4 or 14/4 * 4/1
52/4
13 cubes
Answer:
224 cubes to fill the entire prism.
Step-by-step explanation:
recall rectangular prism volume: length * breadth * heightrecall cube volume: length³using the formula:
full prism volume: 2 * [tex]\frac{7}{4}[/tex] * 1 = 3.5 cm³
volume of single cube: ([tex]\frac{1}{4}[/tex])³ = [tex]\frac{1}{64}[/tex] cm³
so ? cubes to fill: 3.5 / [tex]\frac{1}{64}[/tex] = 224 cubes.
Please answer this question
Answer:
The answer is below.
Step-by-step explanation:
what is x - 2 5/8 = 6 1/4
Answer:
x = 7 5/8
Step-by-step explanation:
Given:
x - 2 5/8 = 6 1/4
first, let's find a common denominator so we can deal with the fractions easier.
The smallest number 8 and 4 is divisible by, is 8.
so we just multiply everything in the equation by 8 now, this helps get rid of the fractions.
x - 2 5/8 = 6 1/4
8 (x -2 5/8) = 8 (6 1/4)
simplifies into
8x -16 + 5 = 48 + 2
simplify some more
8x -11 = 50
solve for x
8x = 11 + 50
8x = 61
x = 61/8
or
x = 7 5/8
Answer:
Decimal: x=8.87
Improper fraction: x=71/8
Mixed number: x=8 7/8
Step-by-step explanation:
[tex]x-2\frac{5}{8}=6\frac{1}{4}[/tex]
First, let's convert mixed numbers to improper fraction
[tex]x-\frac{21}{8}=\frac{25}{4}[/tex]
Now, we can add 21/8 to both sides
[tex]x-\frac{21}{8}+\frac{21}{8}=\frac{25}{4}+\frac{21}{8}[/tex]
[tex]x=\frac{71}{8}[/tex]
We can convert 71/8 to a mixed number
[tex]x=8\frac{7}{8}[/tex]
Hope this helps!
Someone smart help and get it right please offering 25 points
Answer:
2.5
Step-by-step explanation:
By the angle bisector theorem, [tex]\frac{AC}{BC}=\frac{CD}{DB}[/tex]. Plugging in the known side lengths gives [tex]\frac{5.8}{6.2}=\frac{?}{2.7}[/tex]. Solving gives:
[tex]?=(5.8\cdot 2.7)/6.2[/tex]
[tex]\approx 2.5[/tex], rounded to one decimal place.
Help!! Solve: 2c^2+14c+24=0
Answer:
c= -3 , c= -4
Step-by-step explanation:
[tex]c_{1,2} =\frac{-14+\sqrt{14^{2}-4*2*24 } }{2*2}[/tex]
[tex]\sqrt{14^{2}-4*2*24=2 }[/tex]
[tex]c_{1,2} =\frac{-14+2}{2*2}[/tex]
Separate the solutions:
[tex]c_{1} \frac{-14+2}{2*2} , c_{2} =\frac{-14-2}{2*2}[/tex]
c= -3
c= -4
(2x5 + 7x3) – (5x2 - 4x3)
simply
Answer:
(2x4 + 11x2 - 5)
Step-by-step explanation:
((2•(x5))+(7•(x3)))-(5x-22x3)
((2 • (x5)) + 7x3) - (5x - 4x3)
(2x5 + 7x3) - (5x - 4x3)
2x5 + 11x3 - 5x = x • (2x4 + 11x2 - 5)
Factoring 2x4 + 11x2 - 5
Multiply the coefficient of the first term by the constant 2 • -5 = -10
Find two factors of -10 whose sum equals the coefficient of the middle term, which is
10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
-1 + 10 = 9
Hope this helps!
PLEASE ASAP
The area of a semicircle is 39.25 square kilometers. What is the semicircle's radius?
Use 3.14 for pi
__ kilometers
Answer:
R=5
Step-by-step explanation:
The area of a semi circle is 1/2(pi×R^2).
Since the area is given you would just work backwards.
Using 3.14 as "pi", you would have
39.25 = 1/2(3.14×R^2)
39.25*2 = 3.14*R^2
78.5 = 3.14* R^2
78.5/3.14 = R^2
25 = R^2
Then you would take the sqrt of R and 25
And the answer would come to 5 = R
R= radius
[tex] \small \tt{Area \: of \: a \: semicircle = \frac{1}{2} \times \pi {r}^{2} }[/tex]
[tex] \small\tt{39.25 = \frac{1}{2} \times 3.14 \times {r}^{2} } [/tex]
[tex] \small\tt{39.25 \times 2 = 3.14 \times {r}^{2} } [/tex]
[tex] \small\tt{78.5 \: = 3.14 \times {r}^{2} } [/tex]
[tex] \small\tt{ \frac{78.5}{3.14} = {r}^{2} } [/tex]
[tex] \small\tt{ {r }^{2} = 25} [/tex]
[tex] \small\tt{r = \sqrt{25} = 5 } [/tex]
[tex] \small\tt{r = 5} [/tex]
Radius = 5Hope it will help you
Write the number 9.7 x 10^-3 in standard form.
Answer:
.0097
Step-by-step explanation:
Take the decimal and move it 3 (variable for any negative exponent) places to the left
Answer:
0.0097 is the answer.
Step-by-step explanation:
You start by counting from the decimal place. For negative exponents, you would count to the left. Three decimal places to the left of 9.7 is 0.0097.
Which set of ordered pairs don’t represent a function
Answer:
The first multiple-choice doesn't represent a function
Step-by-step explanation:
(-4,3),(1,-6),(-8,-1),(1,9)
because a function has two pairs with the same x value
*hope that makes sense*