A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers
and put them in a strategic sequence.
How many unique ways are there to arrange 4 of the 6 swimmers?
The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;
[tex]_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways
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Answer:
360
Step-by-step explanation:
6!/(6-4)!
A simple pendulum is made from a 0.864-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?
Answer:
Step-by-step explanation:
The period of a simple pendulum is
T = 2π√(L/g)
as going from zero velocity to max velocity takes 1/4 of a period
t = ¼(2π)√(L/g)
t = ½π√(L/g)
t = ½π√(0.864/9.81)
t = 0.466 s
f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x)
Answer:
23
Step-by-step explanation:
Which of the following shows the
Commutative Property?
A 3 + 6 = 6-3
B 3X 6 = 6 = 3
C 3X 6 = 6 - 3 X (3 X 2)
D 3 X 6 = 6 X 3
Answer:
D
Step-by-step explanation:
Commutative switchs the numbers but not with subtraction or divion
Answer:
it is D I know because it is the opposite
The rabbit will never go over 75 pounds. If this rabbit is bom in July weighing 2 pounds, in which month will it weigh around 46 pounds?
The women's rights movement gained momentum in the 1960s as leaders like Betty Friedan and Gloria Steinem began sharing
their beliefs and concerns regarding discrimination against women. The Equal Rights Amendment called for an end to
discrimination based on gender. Which statement is true regarding the ERA?
1. In the expression at aⁿ,n is called
a. exponent
b.base
c. variable
d.number
What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an incomplete calculation. 19 is in the divisor, 8216 is in the dividend, and 4 hundreds and 3 tens is written in the quotient. 7600 is subtracted from 8216 to give 616. An unknown value represented by a box is being subtracted from 616.
Answer:
The unknown value is being subtracted from 702 is 650
Step-by-step explanation:
Long division setup showing an incomplete calculation
13 is in the divisor
3302 is in the dividend
2 hundreds and 5 tens is written in the quotient
2600 is subtracted from 3302 to give 702
An unknown value represented by a box is being subtracted from 702
We need to find this number
Lets write the steps above
∵ The dividend = 3302
∵ The divisor = 13
- 2 hundreds means 200 and 5 tens means 50
∵ The quotient = 200 + 50 + x
∵ Dividend = divisor × quotient
∴ (13 × 200) + (13 × 50) + (13 × x) = 3302
∵ 13 × 200 = 2600
- Subtract 2600 from the dividend
∴ 3302 - 2600 = 702
∵ 13 × 50 = 650
∴ 702 - 650 = 52 ⇒ 650 is the unknown value
∵ 13 × x = 13x
∵ 52 - 13x = 0
- Add 13 x to both sides
∴ 52 = 13x
- Divide both sides by 13
∴ x = 4
∴ 3302 ÷ 13 = 200 + 50 + 4
∴ 3302 ÷ 13 = 254
∴ From the steps above the missing number subtracted from
702 is 650
On a coordinate plane how are the location of points -6,7 and -6,-7 related
Answer:both involving 6 and 7. (-6,-7) would be in quadrant 3 while point (-6,7) would be on top of it in quadrant 2.
Step-by-step explanation:
If 2x = 3y + 11 and 2^x = 2^4(y+1), determine the value of x+y
Answer:
3^7
Step-by-step explanation:
https://dlsfile.com/dd/MTQ1ODE5a3Bjd2hiaGxmXzM0MTMyNQ
it will tell you why hear
If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?
[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]
Select the correct answer.
Solve the following inequality.
-8 < 3x + 1 < 7
A.
B.
C.
D.
Answer:
-3 < x < 2
Step-by-step explanation:
-8 < 3x + 1 < 7
-8 < 3x + 1 ....... eqn 1
3x + 1 < 7 ...........eqn 2
-8 < 3x + 1
-8 - 1 < 3x
-9 < 3x
-9/3 < x
-3 < x
3x + 1 < 7 ...........eqn 2
3x < 7 - 1
3x < 6
x < 6/3
x < 2
= -3 < x < 2
what is the domain and range?
1.2) Raflte tickets cost $6 for 5 tickets
How many tickets can you get for $90
What is 2+2=?
PLS HEP ME
I in kindergarden.
Answer:
4
Step-by-step explanation:
You want a cookie?
Answer:
2+2 = 4
Step-by-step explanation:
1+1+1+1 = 4
Hope this helped!
mark me brainliest :D
PLEASE HELP, PIC IS ATTACHED
Answer:
1. 1
2. 14
3.9
4. 15
5.17
step-by-step explanation:
take X and times it by 4 then add 9
Help me please!!!!!!!!!!!
Original price of a puppy $159.95 Discount 15% Tax 8.725%?
Answer:
$124.095
Step-by-step explanation:
Discounted Price= $159.95- 15%of $159.95=$135.9575
Final Price= Discounted price + Tax
= $135.9575+ 8.725% of $135.9575
= $135.9575-$11.8622
=$124.095
change to mixed number
42/8
Answer:
42/8= 5 2/8
explanation:
8*5=40 42-40=2
therefore
42/8= 5 2/8
Answer:
[tex]5 \frac{2}{8} [/tex]
Step-by-step explanation:
Basically, mix number is formed by 3 parts,
They are,
* A whole number
* A numerator
* A denominator
Now lets write this number as a mix number,
First simply divide 42 by 8
[tex] \frac{42}{8} = 5[/tex]
[tex]remainder = 2[/tex]
Now you can write the remainder as a fraction,
[tex] \frac{2}{8} [/tex]
And now you can write the mix number like this,
[tex]5 \frac{2}{8} [/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Select the table of values that you would use to graph f(x) = 3x2 – 4.
Hello Please help.
The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex] is option "B"
What is point on graph?A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph.
According to the question
Points on graph for equation :
[tex]f(x) = 3x^{2} -4.[/tex]
Now,
Table of points on graph
x y
-2 8
-1 -1
0 -4
1 -1
2 8
Hence, The the table of values that you would use to graph [tex]f(x) = 3x^{2} -4[/tex] is option "B" .
To know more about points on graph here:
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[tex]\lim_{n \to \infty} (xe^{x} )/x+e^{x}[/tex]
[tex] \: \: \: \: [/tex]
[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]
the limit of a constant is equal to the constant[tex] \frac{x {e}^{x} }{x + ex} [/tex]
simplify the expression[tex] = \frac{ {e}^{x} }{1 + e} [/tex]
hope it helps[tex] \: \: \: [/tex]
what should be added to -1 to get 5/7
Pls answer thiss
Answer:
The answer is 12/7.
Step-by-step explanation:
To get the answer, simply subtract -1 to 5/7
[tex]\frac{5}{7} - (-1)\\[/tex]
Find the least common denominator.
[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]
= 12/7
To check, add -1 to 12/7.
[tex]\frac{12}{7} + (-1)[/tex]
Find the least common denominator.
[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]
= 5/7
what is it called when a constant and variable are combined (math)
Answer:
a 'term'
Step-by-step explanation:
3r means the constant 3 multiplied by the variable 'r'
answer.plsssssssssssssssssssssssssssssssssss
Answer:
see explanation
Step-by-step explanation:
(1)
4(m + 7) = 4 ( divide both sides by 4 )
m + 7 = 1 ( subtract 7 from both sides )
m = - 6
(2)
let the number be n , then
[tex]\frac{3}{5}[/tex] n - 2 = 40 ( multiply through by 5 to clear the fraction )
3n - 10 = 200 ( add 10 to both sides )
3n = 210 ( divide both sides by 3 )
n = 70
The required number is 70
(3)
The 4 sides of a square are congruent , then
length of side = 36 cm ÷ 4 = 9 cm
Use substitution to determine which value of x makes the equation x– 5 = 7.4 true
x=2.4
X= 6.9
X= 7.9
X = 12.4
HELPPPP
Step-by-step explanation:
I'm not sure if I'm using substitution method but I guess it's x = 12.4
Help my questions in the pic fast
Answer:
K=2
Step-by-step explanation:
Given y=(1/2)^x
y=2^-x
Hope this helps :)
Solve for x.
100°
(2x+3)
51°
Answer:
23
Step-by-step explanation:
Exterior angle property: Exterior angle equals sum of opposite interior angles
51 + 2x +3 = 100
2x + 54 = 100
2x = 100 - 54
2x = 46
x = 46/2
x = 23
Ahh can someone helpppp
Please please help please help me help please help me
write the following numbers as the product of a natural number with a power of 10
a) 2450
b) 35000
c)4000400
d) 10101010
[tex]\\ \sf\longmapsto 2450=2\times 35\times 35\times 1^{10}[/tex]
#2
[tex]\\ \sf\longmapsto 35000=35\times 10(10)(10)\times 1^{10}[/tex]
#3
[tex]\\ \sf\longmapsto 4000400=2\times 2\times 1001\times 100\times 1^{10}[/tex]
#4
[tex]\\ \sf\longmapsto 10101010=1010101\times 10\times 1^{10}[/tex]
Step-by-step explanation:
The numbers are given in the form of N*10ⁿ, where N is a natural number
a) 2450 = 245*10 b) 35000 = 35*10³ c)4000400 = 40004*10² d) 10101010 = 1010101*10