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iris [78.8K]
3 years ago
13

In how many ways 4 books can be chosen from 8 different books and be arranged in 4 spaces on a bookshelf? ​

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

hope this helps

Step-by-step explanation:

3*2 * 1 = 24 ways . It is called arrangement or permutations, while if you need to group some objects it is called combination and there we need to consider unique groups only.

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Help! What is the answer to: <br> 4x^2 + 9x - 1 = 0
nataly862011 [7]
I hope this helps you




a=4


b=9


c= -1



disctirminant =b^2-4ac


disctirminant =9^2-4.4. (-1)


disctirminant =97


x1=-9+square root of 97/2.4= -9+square root of 97/8


x2= -9-square root of 97/2.4= -9-square root of 97/8
6 0
3 years ago
Read 2 more answers
2 fractions have the same denominator. Which is the greater fraction: the fraction with the greater numerator or thr lesser nume
irinina [24]
If two fractions have the same denominator, that means the total number of parts is the same.  For example, you have two batches of cookies, which each have 8 cookies.

But the numerator tells you the number of parts you are dealing with.  Going back to our cookie example, say you ate 3 cookies and your little brother only had 1.  If you ate 3 cookies, you ate 3/8 of the cookies.  Your little brother ate 1/8 of the cookies.

So, which one is the greatest fraction?  In this case, who had more cookies?  That would be you.  So, the greater numerator means a greater fraction.

Answer: the fraction with the greater numerator
5 0
3 years ago
21/x=84/120 solve the proportion​
Nimfa-mama [501]

Answer:  X= 30

Step-by-step explanation:

Hope that helped :)

3 0
3 years ago
Find the area under the curve y = 13/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000
zvonat [6]

Answer:

t = 10

A = 32496.75

t = 100

A = 324999996.8

t = 1000

A=3.25\times 10^{12}

Step-by-step explanation:

The area under the curve is calculated by using the following definite integral:

A = \int\limits^t_ {1} \,{13\cdot x^{3}}  dx

A = 13 \int\limits^t_1 {x^{3}} \, dx

A = \frac{13}{4}\cdot (t^{4}-1)

Evaluated areas are presented below:

t = 10

A = 32496.75

t = 100

A = 324999996.8

t = 1000

A=3.25\times 10^{12}

8 0
4 years ago
Which two points are on the graph of M(a) = - 3/4a-12?
sertanlavr [38]

Answer:

(-16, 0) and  (0,-12)  are exactly two points on the graph of the given equation.

Step-by-step explanation:

Here, the given expression is : M(a) = -\frac{3}{4} a-12

Here, let M(a)  = b

⇒The equation becomes b = -\frac{3}{4} a-12

Now, check for all the given points for (a,b)

<u>1) FOR (-9,0)</u>

RHS  is  -\frac{3}{4} (-9)-12  =   -5.25 \neq 0

Hence, (-9,0) is NOT on the graph.

<u>2) FOR (-16,0)</u>

Here, LHS = b = 0

andRHS  =   -\frac{3}{4} (-16)-12  = 12-12  = 0

Hence, LHS  =  RHS = 0  So, (-16,0) is  on the graph.

<u>3) FOR (0,12)</u>

Here, LHS = b = 12

RHS  is  -\frac{3}{4} (0)-12  =   -12  \neq 12

Hence, (0,12) is NOT on the graph.

<u>4) FOR (0,-12)</u>

Here, LHS = b = -12

RHS  is  -\frac{3}{4} (0)-12  =   -12

and LHS = RHS = -12

Hence, (0,-12) is  on the graph.

Hence, (-16, 0) and  (0,-12)  are exactly two points on the graph of the given equation.

6 0
3 years ago
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