Subtract a4 + 4a²b2 --- 264 from

Henry is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Henr

Elden [556K]

Geometric sequence general form: a * r^n
For Greg, we are given the elimination of the medicine as a geometric nth term equation:
200 * (0.88)^t
The amount of medicine starts at 200 mg and every hour, decreases by 12%;
To compare the decrease in medicine in the body between the two, it is useful to get them in a common form;
So, using the data provided for Henry, we will also attempt to find a geometric nth term equation that will work if we can:
As a geometric sequence, the first term would be a and the second term would be ar where r = multiplier;
If we divide the second term by the first term, we will therefore get r, which is 0.94 for Henry;
We can check that the data for Henry can be represented as a geometric sequence by using the multiplier (r) to see if we can generate the third value of the data;
We do this like so:
282 * (0.94)^2 = 249.18 (correct to 2 d.p)
We can tell that the data for Henry is also a geometric sequence.
So now, we just look at the multiplier for Henry and we find that every hour, the medicine decreases by 6%, half of the rate of decrease for Greg.

The answer is therefore that Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.

3 0

3 years ago

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Tell whether the number is prime or composite 68?

Blababa [14]

Composite.
Because the definition of them is, A prime number has only two factors: 1 and itself. A composite number has more than two factors. The number 1 is neither prime nor composite. The prime numbers between 2 and 31 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 since each of these numbers has only two factors, itself and 1.

Hope this helped!!! :)
-Ginger

3 0

3 years ago

A recipe calls for 1 ½ cups of flour, 2/3 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings. A) How ma

Goryan [66]

A) How many cups of flour are there per serving?

1 ½ cups of flour --------6 servings
? cups of flour ------- 1 serving

1 ½
------------
6

= 3/2 x 1/6
= 1/4

answer: 1/4 cups of flour per serving

B) how many total cups of sugar(white and brown) are there per serving?
total white and brown: 2/3 + 1/3 = 3/3 = 1 cups (combine)

1 cup of sugar (white and brown) --------6 servings
? cups of sugar (white and brown) ------ 1 serving

1
----- = 1/6
6
answer: 1/6 cups of sugar (white and brown) per serving

 (c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?

3/2 cups of flour --------6 servings
? cups of flour -----------9 servings

9 * 3/2
-----------
6

= (13 1/2) / 6
= 2 1/4

2 1/4 ( 9 servings) - 1 1/2(6 servings) = 3/4 cups

answer: you need 3/4 more cups of flour

6 0

3 years ago

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zheka24 [161]

Answer:

The circumference of the smaller circle is:

C = 2*pi*x/3

Step-by-step explanation:

We know that for a circle of radius R the circumference is given by:

C = 2*pi*R

where pi = 3.14...

Here we have two circles, A and B, where B is the larger circle and A is the smaller circle.

We know that:

The circumference of B is 3 times the circumference of A.

The radius of circle B is: OB = x

The radius of circle A is: OA

We want to find an expression of OA.

The circumference of circle B will be:

C(B) = 2*pi*OB = 2*pi*x

The circumference of circle A will be:

C(A) = 2*pi*OA

And we know that the circumference of circle B is 3 times the circumference of circle A, then:

C(B) = 3*C(A)

replacing the equations for the circumferences, we get:

2*pi*x = 3*(2*pi*OA)

dividing both sides by 2*pi, we get:

x = 3*OA

Now we want to solve this for OA, then we need to isolate it,

x/3 = OA

We can conclude that the radius of the smaller circle is equal to x/3.

Then the circumference of circle A is:

C(A) = 2*pi*x/3

5 0

2 years ago

What does the algebraic expression v + 52 represent? helpppp

GuDViN [60]

Answer:

many things.

An algebraic expression is a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division.

here the algebraic expression is an addition

6 0

3 years ago

Subtract a4 + 4a²b2 --- 264 from –3a4 + 5a%b2 + 264.