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3 years ago

5

sasha is trying to grt to the bus station from her dance studio . sasha's dance studio is located at the point (3,-4) the bus st

ation is located 4 units to the right and 3 units down from her dance studio

1 answer:

NikAS [45]3 years ago

4 0

Answer:

7

Step-by-step explanation:

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What in the times tables equal 48?

babymother [125]

2,3.4,6,7,8. I think that's it from 2-10.

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3 years ago

The quotient of a number and -5, decreased by 9, is 2

lesya692 [45]

Hello there n ÷ 5 - 9 = 2!

Here's how i solved it:

The quotient of a number and -5, decreased by 9, is 2

"is 2" means the result is 2, so we can have one side of the equation set up to look like this: = 2.

The quotient of a number and -5, decreased by 9, is 2

This looks like: n ÷ 5

The quotient of a number and -5, decreased by 9, is 2

We are taking 9 away from the previous expression, so n ÷ 5 - 9

Putting it all together, we have: n ÷ 5 - 9 = 2

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3 years ago

5. (6 marks) Use mathematical induction to prove that for each integer n ≥ 4, 5^n ≥ 2^2n+1 + 100.

Tju [1.3M]

Step-by-step explanation:

We will prove by mathematical induction that, for every natural $n\geq 4$ ,

$5^n\geq 2^{2n+1}+100$

We will prove our base case, when n=4, to be true.

Base case:

$5^4=625\geq 612=2^{2*4+1}+100$

Inductive hypothesis:

Given a natural $n\geq 4$ ,

$5^n\geq 2^{2n+1}+100$

Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

$2^{2(n+1)+1}+100=2^{2n+1+2}+100=\\=4*2^{2n+1}+100\leq 4(2^{2n+1}+100)\leq 4*5^n$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural $n\geq4$ .

$5^n\geq 2^{2n+1}+100$

7 0

3 years ago

Please help.................

Svetradugi [14.3K]

Answer:

The equation you need for 3 is the volume of a sphere.

Then divide 12 by 2 to get the radius, which gives you 6, then insert this into the equation, and the answer you get for 3 is 904.78cm cubed. 904.8 (4 Significant figures) cm cubed.

5 0

4 years ago

Write this number in standard form.<br> 1.498 x 10² = [? ]

ch4aika [34]

149.8

hope it helps...!!!

4 0

2 years ago