$100 is deposited at the end of every week for five years in an account that pays 14%/a, compounded weekly.

DNA and proteins are packed into cellular structures known as

Feliz [49]

DNA and proteins are packed into cellular structures known as chromosomes.

3 0

2 years ago

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Ten times the sum of half a number and 6 is 8

KATRIN_1 [288]

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it. We can call it anything. I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is 1/2 G

The sum of that and 6 is 1/2 G + 6

Ten times that is 10 (1/2 G + 6)

The question says that's 8.
So   10 (1/2 G + 6) = 8

Divide each side by 10 : 1/2 G + 6 = 0.8

Subtract 6 from each side: 1/2 G = - 5.2

Multiply each side by 2 : G = - 10.4

That seems like a weird answer. We should check it.

The number:    -10.4
Half the number:    - 5.2
The sum of half the number and 6: -5.2 + 6 = +0.8
Ten times that sum: 8

Yep ! By golly, sho nuff, dV-dT and E to the X !
Everything checks out, and the mystery number is - 10.4

5 0

3 years ago

How do you find the r?

Margarita [4]

By finding the volume of the shape

6 0

2 years ago

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What is the exact volume of a sphere with a diameter of 18 cm? ______ cm3

madam [21]

The formula to find the volume of a sphere is: V= $\frac{4}{3} \pi r^{3}$
Since the diameter is 18 cm, so the radius is equal to r=18/2 = 9
Now we replace r by it's value, so we get:
$\frac{4}{3} \pi 9^{3}$
$\frac{4}{3} \pi 729$
$972 \pi$
And we get approximately $3053.63 cm^{3}$
Hope this Helps :D

4 0

3 years ago

In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

8 0

3 years ago

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