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Mamont248 [21]
3 years ago
13

What is the square root of 96

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0
The answer is 10 because you have to around it
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Solve for x: -3(4x+3)+4(6x+1)=43
mezya [45]

Answer:

x=4

Step-by-step explanation:

-3(4x+3)+4(6x+1)=43

distribute the -3 and 4

-12x-9+24x+4=43

combine like terms

12x-5=43

add 5 on both sides

12x=48

divide 12 on both sides

x=4

4 0
3 years ago
What is the probability of randomly choosing a permutation of the 10 digits 0, 1, 2, . . . , 9 in which (a) an odd digit is in t
inysia [295]

The first digit is one of {1, 3, 5, 7, 9}, and the last digit is one of {1, 2, 3, 4, 5}.

If the first digit is one of {1, 3, 5} (3 choices), then the last digit is one of {1, 2, 3, 4, 5} minus whatever is picked for the first digit (4 choices, and the remaining eight digits can be arranged in 8! ways, so there are 12*8! possible permutations.

If the first digit is one of {7, 9} (2 choices, then the last digit is one of {1, 2, 3, 4, 5} (5 choices), and again there are 8! ways of arranging the remaining digits, so there are 10*8! possible permutations.

Then the total number of permutations that fit the criteria is 12*8! + 10*8! = 22*8!. There are 10! total permutations that can be made overall, so the probability of randomly picking one we want is

\dfrac{22\cdot8!}{10!}=\dfrac{22}{10\cdot9}=\boxed{\dfrac{11}{45}}

7 0
4 years ago
Each angle is bisected by the ray. Solve for x please!!
Tems11 [23]

Answer:

See answers below

Step-by-step explanation:

The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.

Therefore:

#7 -> x=38

#8 -> x=144

#9 -> 2x=84 -> x=42

#10 -> x+3=30 -> x=27

6 0
3 years ago
What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-
svp [43]

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\

The Formula of Slope:

m=\frac{y_2-y_1}{x_2-x_1}

by replacing the (2,0) and (0,-4) coordinates in the above formula:

\to m= \frac{-4-0}{0-2}\\\\ \to  m= \frac{-4}{-2}\\\\ \to  m= \frac{4}{2}\\\\ \to m= 2\\\\

if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.

Equation of the line:

\to  y=mx+c

apply m and c value in the above equation:

\to  y=2x-4\\

Subtract by 2x on both sides of the equation we get:

\to  y-2x= 2x-4-2x\\\\\to  y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\

5 0
4 years ago
Read 2 more answers
Question 15
Ostrovityanka [42]

9514 1404 393

Answer:

  A  f(n)=8(0.75)^n

Step-by-step explanation:

After the first bounce, the height is 8·0.75 = 6 ft. Each subsequent bounce multiplies the previous height by 0.75, so the height after n bounces is ...

  f(n) = 8·0.75^n . . . . matches choice A

7 0
3 years ago
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