V = 4/3 × 3 × 5^3
V = 4 × 125
V = 500 cm^3
Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different ways can the empty shelf be filled?
The empty shelf can be filled in 120 ways
The total number of books is
[tex]n = 10[/tex]
The number of books to move is:
[tex]r = 3[/tex]
To fill the empty shelf with three books, we make use of the following combination formula
[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]
Evaluate the expression
[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]
Expand
[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]
Cancel out the common factors
[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]
Evaluate the products
[tex]^{10}C_3 = \frac{720}{6}[/tex]
Divide
[tex]^{10}C_3 = 120[/tex]
Hence, the empty shelf can be filled in 120 ways
Read more about combinations at:
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Practice for Triangle Ratios (Sides) Please Help!!
Answer:
hi
Step-by-step explanation:
i think 15 or 8
hope it helps
in Joe's fish tank, there are 6 goldfish and 12 snails. How does the ratio 6:18 describe Joe's fish
tank?
Hey there!
The ratio 6:18 describes Joe's fish tank, certainly. But how?
Note that this ratio can be written as 6 to 18, 6/18, and 6 out of 18.
This ratio can show this: For every 6 goldfish in Joe's tank, there are 12 snails.
Great question!
Hope I helped, please feel free to comment below should you have any questions/comments/concerns!
The correct option is C.
Given that,
in Joe's fish tank, there are 6 goldfish and 12 snails.Here 6:18 denotes that the number of goldfish to the total no of animals.
Here total no of animals could be
= 6 + 12
= 18
Learn more: brainly.com/question/17429689
Monet began heating a solution with a starting temperature of 67°F. The temperature increased by 3° per minute.
What is the recursive rule that represents this situation?
Enter your answers in the boxes.
an
=
a1 =
Answer:
46
Step-by-step explanation:
Anyone please help asap
Answer:
Step-by-step explanation:
area of the big square plus the area of the little rectangle.
total area = s² + bh
= 7² + (4)(3) ft²
[tex]x^{2} 86\sqrt[n]{x} 765997\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] 886600x_{123} 87686\alpha 86865[/tex]
SOLVE
Answer:not sure
Step-by-step explanation:
just robbing ur points
next time dont do it to me :)
what’s the equation of a line?
Answer:
1. y= 3x -10
2. y= -5x + 7
3. y= x -9
4. y= 2/3x- 6
5 y= -x + 2 1/2
What percentage of students in the school that attend the talent show for the years 2008 2013 or shown
Answer:
Step-by-step explanation:
266
PLEASE HELP!!!! I’ll mark brainliest
Answer:
10
Step-by-step explanation:
h= -4
k= -3
plug in h and k
[tex]\frac{(-4*-3)-4}{2}+6[/tex]
[tex]\frac{(12)-4}{2} +6[/tex]
[tex]\frac{8}{2} +6[/tex]
4 + 6= 10
72 cm
30 cm
What is the length of the hypotenuse?
C=
Centimeters
Answer:
48
Step-by-step explanation:
Trust me!
A rectangular prism has a volume of 175 in'. The height of the prism is 7 in. The base is a square. What is the length of a side of the base? please help
Answer:
a=5cm
Step-by-step explanation:
V=B*H
You will get base if you do this:
B=V:H
B=175:7
B=25
I'm not so good with English, side is probably a,so:
Formula for base: B=a²
Then a=√B
a=√25
a=5cm
I hope this helps.
What is the domain and range of the following quadratic function?
Answer:
thats a scam ^
dont click the link ir search
Dont scam me pplzzzzz
Answer:
Step-by-step explanation:
If 2p + 6a = $14
and 3p + 9a = $21
then the following would also be true:
1p + 3a = $7
If p = pear and a = apple, how much would each cost? The unit prices can be determined by looking at the pattern. You can use multiplication to solve the problem.
For example, 1p + 3a*2 = $7
p = $1/each
a = $2/each or $6 total
I hope this helps you out.
Answer:
the unit for pears and apples are : 35
Step-by-step explanation:
14 + 21 = 35
or it is 2 x 6 x 3 x 9 wich is : 324 i doubt thats the answer tho
140% of 60. can someone explain????
Answer:
84
Step-by-step explanation:
140% of 60 = 60 times 140% = 60 × 1.4 = 84
Answer:
84
Step-by-step explanation:
We can use a proportion to answer this question.
On the left side of the equal we can put the percentages (at first place the given one and in the second place 100)
On the right side we can put the numbers. x is the 140 of 60, while 60 is the
100%
140: 100 = x : 60
For find the x we have to multiply 60 and 140 and divide the result for 100
x = (60*140)/ 100 = 84
The line plot below shows data on the total number of hours that each volunteer spent at a nature center one week. Which question cannot be answered using the data in the graph
Answer:
How many volunteers worked a total of 4 hours
Step-by-step explanation:
Its right i got a one hundred my test
Answer:
How many volunteers worked at a total of 4 hours?
Step-by-step explanation:
HELP!!!!!!!! Question 1 (1 point)
What is the value of w to the nearest degree?
15
21
v
65
25
Ob
35
40
d
45
Answer: nearest degree is 40
Step-by-step explanation:
What's the answer for B
and C
9514 1404 393
Answer:
b = -5
c = -2
Step-by-step explanation:
The explicit form of a sequence with common ratio r and first term a1 is ...
an = a1(r^(n-1))
Matching the forms, we see that ...
b is the first term of the sequence: -5.
c is the common ratio: 10/-5 = -2.
In summary, ...
b = -5, c = -2
Solve 8 = 2^X + 4. (1 point)
a
x = -4
b
x= -1
с
x = 0
d
x= 7
Tell whether the given side lengths form a right triangle.
6, 11, 16
Given:
The lengths of the sides of a triangle are 6, 11, 16.
To find:
Whether the given triangles is a right angle triangle or not.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.
In the given triangle the length of the largest side is 16.
Square of the largest sides is:
[tex]16^2=256[/tex]
Sum of the squares of the two smaller sides is:
[tex]6^2+11^2=36+121[/tex]
[tex]6^2+11^2=157[/tex]
Since [tex]6^2+11^2\neq 16^2[/tex], therefore the given triangle is not a right angle triangle.
The workers at Cameron's Flower Shop are putting 1,323 bamboo flowers into vases for a party. Each vase must hold exactly 8 bamboo flowers. What is the total number of flowers the workers can fill completely
Answer: 165
Step-by-step explanation:
Given
The shop has 1323 bamboo flowers
Each vase can hold exactly 8 bamboo flowers
no of the vase(n) filled with 8 flowers are
[tex]\Rightarrow n=\dfrac{1323}{8}=165.375[/tex]
i.e. 165 is completely filled and 166th is partly filled
[tex]\Rightarrow 165\times 8=1320[/tex] i.e. 3 flowers are left after filling 165 vases completely.
Please help me it’s due soon!!
Answer:
12√2
Step-by-step explanation:
It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.
Also, don't any links you see on this site, they are hackers
1 point Two sides of a triangle have side lengths of 22 inches and 34 inches. What is the range of possible lengths for the third side? *
Solve 3x2−3x=0 by factoring.
Answer:
3x(x-1) = 0
x= 1
Step-by-step explanation:
is 3x2 supposed to mean 3x^2 i dont know
A student used f ( x ) = 5.00(1.012) x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
A: The annual interest rate of the savings account
B: The interest the savings account earned for the first year
C: The starting balance of the savings account
D: The number of years the savings account has earned interest
Answer:
A student used f(x) = 5.00(1.012)* to show how the balance in a savings ... A student used f(x) = 5.00(1.012)* to show how the balance in a savings increase over time. What does the 5.00 represent? A The interest the savings account earned for the first year. B ... kamyawright is waiting for your help.
Step-by-step explanation:
Someone PLSSS HELP TYSM IF U DO
-41.2 minus (-37.4) is -3.8.
If this is incorrect, please, don't refrain to tell me. Thank you.
Answer: -3.8
Hope this helps!
Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)
Answer:
(-12 , 2)
Step-by-step explanation:
GIVEN :-
Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)TO FIND :-
Co-ordinates of another endpoint.FACTS TO KNOW BEFORE SOLVING :-
Section Formula :-
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =
[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]
PROCEDURE :-
Let the co-ordinates of another endpoint be (x , y)
So ,
[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]
First , lets solve for x.
[tex]=> \frac{x - 4}{2} = -8[/tex]
[tex]=> x - 4 = -8 \times 2 = -16[/tex]
[tex]=> x = -16 + 4 = -12[/tex]
Now , lets solve for y.
[tex]=> \frac{y - 10}{2} = -4[/tex]
[tex]=> y - 10 = -4 \times 2 = -8[/tex]
[tex]=> y = -8 + 10 = 2[/tex]
∴ The co-ordinates of another endpoint = (-12 , 2)
Solve for x
x^2 + x - 6 = 0
Answer:
X = 2 and -3
Step-by-step explanation:
I hope this helps :)
11. Which could be the table of values that was used to graph the function of x shown below?
Answer:
D
Step-by-step explanation:
Here, we want to select the possible table of the given line
Let us look at the intercepts
On the x-axis, we have an intercept at x = 2
On the y-axis, we have an intercept at y = -4
This means that when y = 0, x = 2 and when x = 0, y = -4
Looking at the options, the table that supports this answer is the table of option D
‼️ PLEASE HELPPPPP ‼️
P(A | B) can be read as "the probability that B occurs given that A has
occurred."
A. True
B. False
Using conditional probability, it is found that P(A|B) is read as "the probability that A occurs given that B has occurred", hence the statement is:
B. False.
What is conditional probability?It is the probability of an event B occurring, considering that event A has occurred, and it represented by P(A|B).
Hence, following the same standard, P(B|A) is read as "the probability that A occurs given that B has occurred", which means that the statement is false and option B is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
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