Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
and we are given enough info to fill in:
and
and
or in linear format:
where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
so
and
![a_2=-31](https://tex.z-dn.net/?f=a_2%3D-31)
The third term:
and
so
and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
and
so
![a_5=-19](https://tex.z-dn.net/?f=a_5%3D-19)
Answer:
Step-by-step explanation:
if there are 14 boys to 9 girls in a class the ratio would be
14:9
Answer:
5^-5
Step-by-step explanation:
Answer:
![x=-\frac{88}{3}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B88%7D%7B3%7D)
Step-by-step explanation:
When a quantity "A" varies DIRECTLY with another quantity "B", we can write the proportionality equation as:
A = kB
Where k is the proportionality constant (to be found)
In this problem, it is given x varies DIRECTLY with y, so we can write:
x = ky
Also, given, x = 11, y = -3, so we plug these into the equation and first find k:
x = ky
11 = k(-3)
k = -11/3
Now, we need to find x when y = 8, so we substitute and find x:
![x=ky\\x=(-\frac{11}{3})(8)\\x=-\frac{88}{3}](https://tex.z-dn.net/?f=x%3Dky%5C%5Cx%3D%28-%5Cfrac%7B11%7D%7B3%7D%29%288%29%5C%5Cx%3D-%5Cfrac%7B88%7D%7B3%7D)
Answer:
The cubed root of four hundred and forty-eight ∛448 = 7.6517247310896
Step-by-step explanation: Step by step simplification process to get cube roots radical form and derivative:First we will find all factors under the cube root: 448 has the cube factor of 16.Let's check this width ∛16*7=∛448. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛16 * ∛7. Cube of ∛16=4 which results into 4∛7All radicals are now simplified. The radicand no longer has any cube factors.