Answers
Answer:
35
Step-by-step explanation:
Using the definition of n[tex]C_{r}[/tex]
with n = 7 and r = 3
7[tex]C_{3}[/tex]
= [tex]\frac{7!}{(7-3)!3!}[/tex]
= [tex]\frac{7!}{4!(3!)}[/tex]
= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator
= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]
= [tex]\frac{210}{6}[/tex]
= 35
Related Questions
1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.
Max points
Answers
9514 1404 393
Answer:
(d) y = -1/24x² (b) y = 1/36x²Step-by-step explanation:
1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...
y = 1/(4p)x²
where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...
y = -1/24x²
__
2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...
y = 1/36x²
Mao counts by fives to 30.alana counts by tens to 40.who will say more numbers? Explain
Answers
Answer:
Mao will say more numbers
Step-by-step explanation:
Mao will say more numbers because, to get to 30, you must count by fives 6 times. For example, 5,10,15,20,25,30. There are 6 numbers there. On the contrary, Alana is only going to count 4 times. 10,20,30,40. 6 is greater than 4, therefore Mao will say more numbers. I hope this helps!
*Cho hình chóp
S ABCD .
có đáy
ABCD
là hình chữ nhật biết
AB a 2
. Tam giác
SAD
cân tại
S
và nằm trong mặt phẳng vuông góc với đáy. Biết
SC a 6
. Đặt
AD x x 0
. Giá trị của
x
theo
a
sao cho thể tích khối chóp
S ABCD .
lớn nhất là
Answers
Answer:
que
Step-by-step explanation:
no ablo ese idioma v
An item is priced at $14.29. If the sales tax is 5%, what does the item cost including sales tax?
Answers
Answer:3-5=787879. youu
Step-by-step explanation:
Which number line shows the location
of 0.3?
Answers
There is no picture attached :)
Jordan counts 53 ducks on a pond. Then she
counts 3 more. What patterns do you notice in
the numbers Jordan counts?
50 51 52 53 54 55 56 57 58 59 60
Answers
Answer:
Step-by-step explanation:
goes up by 1 each time
The pattern of Jordan is that, she goes up by 1 , each time.
It is given that Jordan counts 53 ducks on a pond and then she counts 3 more by following a same pattern each time.
What is the pattern that she follows ?
What will be the value if we add 1 for 4 times.
The value will be 4.
The numbers Jordan counts are
50, 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59, 60
If we check
51 - 50 = 1
52-51= 1
.
.
.
60-59 = 1
and so on.
Every time we get a difference of 1 count.
Thus , the pattern followed by Jordan is that, she goes up by 1 , each time.
To learn more about sequence click here ,
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Please help me with this question
Answers
Answer:
27°
Step-by-step explanation:
Add the 2 given angle measures to get 153°, and then subtract that from 180° to get 27°. (Remember that all interior angles of a triangle will add up to 180°).
Hope this helped :)
d
18. Emily is encouraged to read more than 4 hours each
week. It takes her 45 minutes to finish her first book.
She divides the remainder of the time equally amongst
the other six days. What is the minimum number of
minutes she should read each day?
Answers
Answer:
I think the answer is 67.5. Hope this helps! :)
Graph the number on the number line. Then use your number line to find the
absolute value.
Answers
Answer: 9
Step-by-step explanation:
The opposite of -9 is 9.
6. What is the area of a rectangular floor that is 7-3" long
and 4-2” wide?
Answers
The area of the rectangle will be 4350 Inches squared.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular floor is 7-3" long and 4-2” wide. Here 7 ft 3 in = 87 in. 4ft 2 in = 50 in.
The area of the rectangle is calculated by using the formula below:-
Area = Length x Width
Area = 87 x 50
Area = 4350 Inches
Therefore, the area of the rectangle will be 4350 Inches squared.
To know more about the area follow
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wjat is 22.5 split into 18 equal group?
Answers
Answer:
1.25
Step-by-step explanation:
[tex]22\frac{1}{2}/18[/tex] [tex]\frac{45}{2}/18[/tex] [tex]\frac{45}{2}*\frac{1}{18}[/tex] [tex]\frac{5}{2} * \frac{1}{2}[/tex] [tex]\frac{5*1}{2*2}[/tex] [tex]\frac{5}{4}[/tex] [tex]1\frac{1}{4}[/tex] [tex]1.25[/tex]Aba malay ko haha ta-nga ka
Anyone know ?????? I kind of need help rn
Answers
Answer:
2.45 anytime
Step-by-step explanation:
the average of 2.4 and 2.5 = (2.4+2.5)/2=4.9/2=2.45
Answer:
2.45
Step-by-step explanation:
(2.4+2.5) / 2
4. k(x) × g(x) × f(x)
Answers
[tex]k(x) \times f(x)[/tex]
[tex](2x + 5) \times (x - 1)[/tex]
[tex]2 x(x - 1) + 5(x - 1)[/tex]
[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]
[tex] {2x}^{2} - 3x - 5[/tex]
________________________________
[tex]k(x) \times g(x) \times f(x)[/tex]
[tex]g(x) \times (k(x) \times f(x))[/tex]
[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]
[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]
[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]
what’s 5 5/32 (as an mixed number ) as a decimal.
Answers
Answer:
Convert 5 5/32 to an improper fraction.
Step-by-step explanation:
Exact Form:
165/32
Decimal Form:
5.15625
Mixed Number Form:
5 5/32
Answer:
[tex]{ \tt{5 \frac{5}{32} = \frac{(32 \times 5) + 5}{32} }} \\ \\ = { \tt{ \frac{165}{32} }} \\ \\ = { \boxed{ \tt{5.15625}}}[/tex]
Which data set has the same standard deviation as the data set {2, 2, 5, 6, 8} ?
{3, 4, 4, 7, 7}
{5, 6, 5, 6, 5}
{3, 3, 6, 7, 9}
{4, 4, 5, 5, 5}
Answers
Answer:
{3, 3, 6, 7, 9}
Write that down the equation for the lines that is the graphs are depicted below
PLZ HELP 20 points
Answers
Find slope of line (m)
[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=2[/tex]
Putting in y=mx+b
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]
[tex]\\ \sf\longmapsto 2=2+b[/tex]
[tex]\\ \sf\longmapsto b=2-2=0[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=2x[/tex]
Answer:
y = 2xStep-by-step explanation:
The line passes through the origin and holds the point A(1, 2).
This is a proportional relationship:
y = kxConsidering the coordinates of the point A:
2 = 1*k ⇒ k = 2The line is:
y = 2xwhat is 5 +10 - 20 x 4
Answers
Answer:
-65 is the right answerrr
Only 40% of people between the ages of 18 and 24 read a daily
newspaper. Write the percent as a fraction in simplest form.
Answers
Answer:
2/5
Step-by-step explanation:
40% = 40/100 = 4/10 = 2/5
Answer:
2/5
Step-by-step explanation:
40%/100% =2/5
you just take the 40% and divide with one hundred %
my baby chickie is chuuu pretty
Answers
Answer:
Don't quite see how this should fall into the mathematics category
1/5 times 3/4 in simplest form
Answers
The sum of 6 times and 4 is 2
Answers
Answer:
6x +2=3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example, I'm using x)
When you put it all together, it is 6x + 2 = 3
Need help on #9 and #10 please ASAP. Was busy with a family emergency and missed my class on this.
Answers
Answer:
#9
given, angle BOD = 95 degree
and angle COD = 35 degree
assume that, angle BOC = x degree
so, angle BOC + angle COD = angle BOD
or, x + 35 degree = 95 degree
so, x = 95 degree - 35 degree = 60 degree
so, angle BOC = 60 degree
#10
given, angle AOC = right angle = 90 degree
and angle AOB = 30 degree
assume that, angle BOC = y degree
so, angle AOB + angle BOC = angle AOC
or, 30 degree + y = 90 degree
so, y = 90 degree - 30 degree = 60 degree
so, angle BOC = 60 degree
Step-by-step explanation:
What is the range of the following relation?
Answers
Answer:
The range is the y-values that satisfices the graph. 0 to all negative numbers.
Step-by-step explanation:
The graph highest value is 0 on the y-axis and goes down ( any negative numbers).
Jamel has 2 and 2/5 of string. Jamel needs 1/5 of a foot of string to sew a button to a shirt. What is the greatest amount of buttons he can sew onto the shirt with the rest of the string he has?
Answers
Answer:
12
Step-by-step explanation:
1=5/5 so 2=10/5
add 2/5 to 10/5 to get 12/5
The Campbells are saving up to go on a family vacation in 5 years. They invest $2800
into an account with an annual interest rate of 1.46% compounded monthly. Assuming no withdrawals are made, how much money is in the Campbells' account after 5 years?
Answers
Answer:
look at the explanation 20,440
Step-by-step explanation:
so the invested 2,800 $ and the interest rate is 1.46 so first what I would do is 1.46 times 5 = 7.3 then 7.3 x 2,800 =20,440
so I think the answer is 20,440
not sure if this is correct but I gave it my all
or you could just do 2800 time 5 time 1.46
Rick and tom share a reward of $75 in a ratio of 2:3. how much money does each of them get?
Answers
Answer:
Rick gets $30 and Tom gets $45.
Step-by-step explanation:
If Rick gets 2 parts, and Tom gets 3 parts, then there are 5 parts. If $75 is split into 5 parts, each part will be worth $15.
Hence,
Rick gets 2 * $15 = $30
Tom gets 3 * $15 = $45
Which inequality is true? O A. 41 - 2 < 10 B. 6. . 27 > 1 C. 51 > 15 C O D. TI + 9 < 12
Answers
Answer:
C
Step-by-step explanation:
because 52 is greater than 15
Number nine For twenty points
Answers
Step-by-step explanation:
a) 24÷12= 2 each person gets 2 cereal bar
b) 24÷6= 4 each person gets 4
c )0 There is no one there
d) Zero is undefined
Solve T=2x + 3y - z for y.
Answers
Answer:
[tex]\frac{T+z-2x}{3}[/tex]=y
Step-by-step explanation:
On solving for y we get -
[tex]$y=\frac{T-2x+z}{3}[/tex]
We have the following expression -
T = 2x + 3y - z
We have to solve for ' y '.
Solve for x : Sin([tex]2n\pi x[/tex]) = 0.785 .On solving, we get -
Sin([tex]2n\pi x[/tex]) = 0.785
Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])
2n[tex]\pi[/tex]x = [tex]\frac{\pi }{4}[/tex]
x = [tex]\frac{1}{8n}[/tex]
According to the question, we have -
T = 2x + 3y - z
T - 2x + z = 3y
[tex]$y=\frac{T-2x+z}{3}[/tex]
Hence, on solving for y we get -
[tex]$y=\frac{T-2x+z}{3}[/tex]
To solve more questions on Rearranging expressions, visit the link below-
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How much of the circle is shaded? Write your answer as a fraction in simplest form? 3/7 and 1/3 isn't shaded
Answers
Answer:
[tex]total = 1 \\ \frac{1}{2} + \frac{1}{7} + x = 1 \\ \frac{1}{7} + x = 1 - \frac{1}{2} \\ \frac{1}{7} + x = \frac{1}{2} \\ x = \frac{1}{2} - \frac{1}{7} \\ x = \frac{7 - 2}{7 \times 2} \\ x = \frac{5}{14} \\ \\ shaded \: portin \: = \frac{5}{14} \\ thank \: you[/tex]
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
Half the circle ( to the left ) is partly shaded
shaded part = [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{7}[/tex] = [tex]\frac{7}{14}[/tex] - [tex]\frac{2}{14}[/tex] = [tex]\frac{5}{14}[/tex]
