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3 years ago

The quotient of n and 5.

Mathematics

1 answer:

DedPeter [7]3 years ago

4 0

It's n/5. We don't know what n equals.

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What is the ones digit of a number if its cube ends in 7

Ostrovityanka [42]

Well, I have never seen a question posed this way, but let's check it out by trial and error.

1^3 = 3

2^3 = 8

3^3 = 27 Hey! There's one. And the ones digit ends in 3.

Let's try another number that ends in 3 and see if it works as well.

13^3 = 2197 Wow. It works again. I never noticed this before, so you taught me something new.

I will test one more.

33^3 = 35937 Bingo. I think we have a winner.

3 0

2 years ago

Write this equation in vertex form. y = x^2 -12x +20

kotegsom [21]

Answer:

$y = (x-6) ^ 2 -16$

Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

$y = (x-h) ^ 2 + k$

Where the vertice of the equation is the point (h, k)

To transform the equation $y = x ^ 2 -12x +20$ in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

$ax ^ 2 + bx + c$

Where a, b and c are real numbers, then the vertex of the equation will be:

$x = - \frac{b}{2a}$

For the given equation:

$b = -12\\a = 1$

Therefore the vertice is:

$x = - \frac{-12}{2(1)}\\\\x = 6$

Now we substitute x = 6 into the equation and find the value of k.

$y = (6) ^ 2 -12 (6) +20\\\\y = -16 = k$

Therefore the vertice is: (6, -16)

And the equation is:

$y = (x-6) ^ 2 -16$

8 0

2 years ago

Read 2 more answers

for every three short horned lizards there are two fence lizards. If there are 54 short horned lizards how many fence lizards ar

Komok [63]

Answer: 36

Step-by-step explanation:

54/3 = 18 x 2 = 36

8 0

3 years ago

Consider the arithmetic sequence 13, 24, 35, ....

Nostrana [21]

Answer: 27

Step-by-step explanation:

The given sequence : 13, 24, 35, ....

Here, first term : a= 13

Common difference: d=24-13 =11

The nth term of arithmetic sequence is given by :-

$a_n=a+(n-1)d$

It is given that the nth term is 299, so put $a_n=299, a=13 ; d=11$

$299=13+(n-1)11$

Subtract 13 from both sides , we get

$286=(n-1)11$

Divide both sides by 11, we get

$26=n-1$

Add 1 on both sides , we get

$n=27$

Hence, the value of n= 27

4 0

2 years ago

M/9+2/3=7/3 Solve for m.

Aleks04 [339]

M/9+2/3=7/3
M/9 =7/3 - 2/3
M/9 = 5/3
M = 5/3 x 9
M = 15

3 0

2 years ago