Answer:
13C2 = 78
Step-by-step explanation:
Formula
[tex]nCr=\dfrac{n!}{r!(n-r)!}[/tex]
The ! symbol in math is called "factorial". When placed after a number, it means to multiply the number by every natural number below it.
For 13C2:
n = 13r = 2Substitute these values into the formula:
[tex]13C2=\dfrac{13!}{2!(13-2)!}[/tex]
[tex]=\dfrac{13!}{2! \ 11!}[/tex]
[tex]=\dfrac{13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{2 \times 1 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}[/tex]
[tex]=\dfrac{13 \times 12}{2 \times 1}[/tex]
[tex]=\dfrac{156}{2}[/tex]
[tex]=78[/tex]
A baby girl weighs 7.16 pounds at birth. By the time she is 1 year of age, her weight has tripled.
How much does she weigh at her 1 year checkup?
Help pleaseee
Rewrite 4/5 and 7/9 so they have a common denominator
Answer:
36/45 and 35/45
Step-by-step explanation:
5 and 9's least common denominator is 45 and to get to that you need to multiply both top and bottom of how to get to 45. How I got to 45 the easiest way is to keep multiplying both numbers until the reach the same product. In this case for 4/5, you multiply it by 9 for top and bottom. And for 7/9, it would be multiplying by 5 for top and bottom which will get you both of the answers. Hopefully this answers your question.
One gallon of orange juice costs $3.40 The Javier family drank 2/5 of a gallon of orange juice this morning what is the cost of the orange juice they drank
Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answer:
(4^2) -10
16- 10
= 6
Step-by-step explanation:
the square of 4 is 16 so you'll subtract 10 from it and it will be left with 6
If logx y = 2, which of the following is true.
• y = x^2
• y = 2x
• x = y^2
• x = 2y
Answer:
y=x^2
Step-by-step explanation:
The true equation about the logarithmic equation [tex]\log_xy = 2[/tex] is [tex]y = x^2\\[/tex]
How to determine the true statement?The logarithmic equation is given as:
[tex]\log_xy = 2[/tex]
Apply the change of form logarithm rule.
This rule would convert the logarithmic equation to an exponential equation.
So, we have:
[tex]y = x^2\\[/tex]
Hence, the true equation about [tex]\log_xy = 2[/tex] is [tex]y = x^2\\[/tex]
Read more about logarithmic equations at:
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without graphing, identify the quadrant in which the point (x,y) lies if x < 0 and y < 0
A. ll
B. IV
C. l
D. III
Answer:
D III.
Step-by-step explanation:
x is < 0 in the Q II and QIII
y is < 0 in QIII and QIV
- so the answer is III.
how many apples would you have if you buy 256-123x234/78
Answer:
135 because if you put it in a caluclator that is what you get
The distance between
-2 and 4
5 and -3
8 and -12
-9 and 17
Answer:
1. 6
2. -8
3. -4
4. 26
Step-by-step explanation:
yk how it's done
whats the red angle?
i cant seem to understand anything
Answer:
65°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠EAB = 180 - 90 - 70 = 20°
⇒ m∠DAG = 90 - 45 - 20 = 25°
⇒ m∠AGD = 180 - 90 - 25 = 65°
ΔADG ≅ ΔAFG
⇒ m∠AGD = m∠AGF = 65°
ΔABE ≅ ΔAFE
⇒ m∠AEB = m∠AEF = 70°
w2 – 2w
Complete square to make perfect square trinomial
Answer:
w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)²Step-by-step explanation:
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
What is perfect square?A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.
Here, we have,
(a - b)² = a² - 2ab + b²
We have
w² - 2w = w² - 2(w)(1)
We must add 1²
w² - 2(w)(1) + 1² = (w - 1)²
Hence, The answer is ,w² - 2(w)(1) + 1² = w² - 2w + 1 = (w - 1)², the perfect square.
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There are about 795 houses in this region. The average family size is 6 people. There are about __________ people living in the region.
Answer:
about 4770 people
Step-by-step explanation:
What is the slope of the line passing through the points (5, 3) and (5, -9)? *
Answer:
Slope is 0
Step-by-step explanation: x stood the same so therefore the slope is 0 or infinite
Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters? (
Answer:
32 ounces of trail mix are in a bag
which binary value equals 20
a) 0100
b) 0001
c) 1000
d) 0000
Answer:
c
Step-by-step explanation:
I'm not really sure but I hope I'm glad they are binary thing is just quite confusing I think it was cool but I really don't understand it
Answer:
a)0100 is the answer
rem
2/20 0
2/10 0
2/5 1
2/2 0
Find the percent of increase from 55 people to 70 people. Round to the nearest tenth of a percent if necessary.
Answer:
55
Step-by-step explanation:
5. (07.09) Given the functions f(x) = 7x+13 and g(x)=x+2. which of the following functions represents f(g(x)] correctly? (2 points) f(g(x)] = 7K+ 15 O f(g(x)] = 7x+27 f[g(x)] = 75 + 15 Of(g(x)] = 7x + 27
Answer:
f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Simplify
14x^3y^2
_______
35xy^4z^2
Answer:
[tex]\frac{2x^2}{5y^2 z^2}[/tex]
Step-by-step explanation:
Dorothy purchased a used vehicle that depreciates under a straight line
method. The initial value of the car is $8400 and the salvage value is $400. If the car is expected to have a useful life of another 5 years, how much will it depreciate each year?
Answer:
1,600
Step-by-step explanation:
did the math and this is what i got
what is 6 1/2 - 3 6/12
Answer:
3
Step-by-step explanation:
6 and 6/12 - 3 and 6/12
3
Answer: 3
First, make the fractions equivalent. These fractions are easy to change as they are both equal to 1/2 which can be changed to .5. The equation is now simplified to 6.5 - 3.5 which is 3.
Please answer this correctly without making mistakes
Answer: 33.6
60 x 56 divided by 100 is 33.6
Cuanto es 2/3 x 3/5 lo necesito por favor ;-;
Answer:
.4 o 2/5
Step-by-step explanation:
2/3 x 3/5= 6/15
6 /3
--- = 2/5
15 /3
Answer:
2/3 * 3/5 = 6/15 = 0.4
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Take 2 points
(0,4)(-6,0)Slope:-
[tex]\\ \sf\longmapsto m=\dfrac{0-4}{-6}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
Equation in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-4=\dfrac{2}{3}(x-0)[/tex]
[tex]\\ \sf\longmapsto 3(y-4)=2x[/tex]
[tex]\\ \sf\longmapsto 3y-12=2x[/tex]
[tex]\\ \sf\longmapsto 3y=2x+12[/tex]
[tex]\\ \sf\longmapsto 2x-3y+12=0[/tex]
The wholesale price for a shirt is $6.50. A certain department store marks up the wholesale price by 70%. Find the price
Round your answer to the nearest cent, as necessary.
Х
6
?
Explanation
Check
Answer:
11.05$
Step-by-step explanation:
Given the wholesale price of pillow is $6.50
Price in department store is 70% more than whole sale =1.7 times the wholesale
Price in department store =1.7*6.5=$11.05
Elsa earns $140 for working 20 hours, what is else's rate of pay each hour? how much would she get if she worked 35 hours for the same rate of pay?
Answer:
$245
Step-by-step explanation:
The hourly pay that Elsa earns is 140/20 = $7 per hour
So, the total pay that Elsa will earn for 35 hours is 7*35 = $245
Solve for x
X+5>4
Enter your answer as an inequality. In the box
x > - 1
x ∈ ( - 1 ; + oo)
Step-by-step explanation:Hi there !
x + 5 > 4
x > 4 - 5
x > - 1
x ∈ ( - 1 ; + oo)
Good luck !
$1900 at 5.9% interest for 18 months. What would the interest be?
Solution:
To solve this problem, we will use PRT/100.
Where:
P = principle = $1900 (As stated)R = rate = 5.9% (As stated)T = time = 18 months (As stated)1. Converting the number of months into years.
[tex]\bullet \ \ 1 \ \text{year} = 12 \ \text{months}[/tex]
[tex]\bullet \ \ \rightarrow \text{x years = 12x months = 18 months}[/tex]
[tex]\bullet \ \ \rightarrow \frac{12x}{12} = \frac{18}{12}[/tex]
[tex]\bullet \ \ \rightarrow x = 1.5 \ \text{years}[/tex]
2. Using PRT/100:
[tex]\bullet \ \ \rightarrow \dfrac{P \times R \times T}{100}[/tex]
[tex]\bullet \ \ \rightarrow \dfrac{1900 \times 5.9 \times 1.5}{100}[/tex]
[tex]\bullet \ \ \rightarrow19 \times 5.9 \times 1.5}[/tex]
[tex]\bullet \ \ \rightarrow \boxed{\$168.15}[/tex]
Thus, the interest will be [tex]\bold{\$168.15}[/tex].
Can somebody please help me walk me through this please and thank you. Other questions on my page
Answer:
it would be the 1st graph
Step-by-step explanation:
this is the graph when the equation is put into a ti calculator! the app i use is wabbit
and it's only available on Android. the pics should be attached! to do this yourself!
also to know without the tool is simply looking at the equation itself and seeing if a negative is in fro
nt of the equation or not which determined if the proabla is flipped or not.
look at the [tex] {t}^{2} [/tex]the 1st term in the equation is that number positive or negative? If positive then the proabla is positive and going up, if it has a negative sign then the proabla is going down
to help more heres more examples
[tex]- {t}^{2} - t - 6 \\ this \: proabla \: will \: be \: negative \\ \: and \: facing \: down[/tex]What is the mean? If the answer is a decimal, round it to the nearest tenth. 46026594
Answer:
28
With the mean, you have to add up the scores and subtract by the total values.
The only score number I know of is 20, so I just added up the values.
Hope this helps, let me know.
theee are 372 pieces of candy in the bag Lucy needs to divide the candy up into smaller bags. she wants to put the same number of pieces in each small bag. how many small bags could lucy use? what is the number sentence?
Answer:
The number of small bags that Lucy can use with having an even amount of can't in them is hundred and eighty six bags were each bag has two pieces of candy.
Step-by-step explanation:
372 ÷ 2 = 186
Therefore
372 ÷ 186 = 2
two candies in each bag means 186 bags of candy.
Question 5! Need help
Answer:
I believe the answer is A.
Step-by-step explanation:
I believe you add all of it together, because the checks have cleared? That is the only solution I can come up with. Sorry if it is wrong! I hope it helps though, and isn't wrong!:)
Answer:
it wud definitely be A
Step-by-step explanation: if you add all the numbers up, that is EXACTLY what you get!!
Hope I helped!! If I did, pls mark me brainliest!!