Picture 1: The amount of tax for Veena's meal is $1.02
Picture 2: Christian reads
books per week.
Picture 3: 80% is equal to
.
Step-by-step explanation:
Picture 1: Veena ate lunch at a deli. She ordered turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal.
Given,
Price of turkey sandwich = $9.25
Price of salad = $4.35
Total amount = 9.25+4.35 = $13.60
Tax = 7.5%
Amount of tax = 7.5% of total cost
Amount of tax = 
Amount of tax = 
The amount of tax for Veena's meal is $1.02
Picture 2: Christian reads 1/4 book every 2/3 week. How many books does Christian read per week?
Given,
Books read every 2/3 weeks = 1/4 books

For determining the number of books read per week, we will multiply both sides by 

Christian reads
books per week.
Picture 3: What percent is equivalent to
?
We will multiply the given fraction with hundred for calculating the percentage.

Therefore,
80% is equal to
.
Keywords: percentage, division
Learn more about percentages at:
#LearnwithBrainly
Answer:

Step-by-step explanation:
we know that
The area of the circle is equal to

where
D is the diameter of the circle
Solve for D
That means-----> Isolate the variable D
Multiply both sides by 4 to remove the fraction

Divide both sides by π

square root both sides

Rewrite

Simplify

Option D:
is the domain of the function.
Solution:
Given function is

<u>To find the domain of the function:</u>
Option A: 
Substitute x = 0 in r(x).

If x = 0, then r(0) = 0
So that x ≠ 0 is false.
So,
is not the domain of the function.
Option B: 
Substitute x = –1 in r(x).

If x = –1, then r(–1) = 1
So that x = ± 1 is false.
So,
is not the domain of the function.
Option C: 
Substitute x = 1 in r(x).

It is indeterminate.
So, all real numbers are not the domain of the function.
Option D: 
Substitute x = 1 in r(x).

It is indeterminate.
So,
is the domain of the function.
Answer:
The area is growing at a rate of 
Step-by-step explanation:
<em>Notice that this problem requires the use of implicit differentiation in related rates (some some calculus concepts to be understood), and not all middle school students cover such.</em>
We identify that the info given on the increasing rate of the circle's radius is 3
and we identify such as the following differential rate:

Our unknown is the rate at which the area (A) of the circle is growing under these circumstances,that is, we need to find
.
So we look into a formula for the area (A) of a circle in terms of its radius (r), so as to have a way of connecting both quantities (A and r):

We now apply the derivative operator with respect to time (
) to this equation, and use chain rule as we find the quadratic form of the radius:
![\frac{d}{dt} [A=\pi\,r^2]\\\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%5BA%3D%5Cpi%5C%2Cr%5E2%5D%5C%5C%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%5Cpi%5C%2C%2A2%2Ar%2A%5Cfrac%7Bdr%7D%7Bdt%7D)
Now we replace the known values of the rate at which the radius is growing (
), and also the value of the radius (r = 12 cm) at which we need to find he specific rate of change for the area :

which we can round to one decimal place as:

Answer:
8 / 17
Step-by-step explanation:
So cosine is adjacent ÷ hypotenuse.
Adjacent = 8
Hypotenuse = 17
8 / 17