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Darya [45]
3 years ago
12

Please answer all the questions

Mathematics
1 answer:
stira [4]3 years ago
6 0

Answer:

Step-by-step explanation:

what are the questions?

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Evaluate the expression
Vera_Pavlovna [14]

Answer:

C) 960

Step-by-step explanation:

Let's expand the factorial.

n! = 1*2*3*4*...n

6! = 1*2*3*4*5*6

3!= 1*2*3

The given expression \frac{8. 6!}{3!} \\

= \frac{8.1.2.3.4.5.6 }{1.2.3}

Canceling out the common terms, we get

= \frac{8.4.5.6}{1} \\

= 8.4.5.6                     [here . represents multiplication]

= 960

Answer: C) 960

Thank you.

7 0
4 years ago
Read 2 more answers
What is the simplified form of the expression? (2x^6) (3x ^ 1/2) A. 6x ^ 13/ 2 B. 5x ^ 13/2 c. 5x3 d. 6x3
Blizzard [7]
The given expression is (2x⁶)(3x^1/2)
Now, multiply 2 with 3, the expression becomes 6.x⁶.x^1/2
Now, as the base is same, add the exponents:
The expression becomes 6x^13/2

The option A is correct 

 
7 0
4 years ago
What is the value of x and the length of segment DE?
aniked [119]

Answer:

x = 6.6; DE = 16.6  

Step-by-step explanation:

Assume the diagram is like the figure below.

1. Calculate the value of x

In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.

Thus, ∆CDF ~ ∆FDE, and

\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}

2. Calculate the length of DE

DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2

4 0
4 years ago
Simplify (4x2 + 9x + 2) + (-2x2 + 2x - 3).
r-ruslan [8.4K]

Answer:

6x^2 + 11x -1

Step-by-step explanation:

4x^2 + 9x + 2 + 2x^2 + 2x -3

Add the like terms to get the answer

7 0
3 years ago
Write 10,100,or 1,000 to make each statement true. A. 1,000,000 is--------------- times greater than 10,000.
VashaNatasha [74]

Answer:100

Step-by-step explanation: 10 x 10000 = 100000 x 10 = 1000000. If we multiply 100 x 10000, we got 1 million

4 0
3 years ago
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