Answer:
ranges from 2890 miles to 5780 miles.
Step-by-step explanation:
Let us call the number of miles the car travels, and 
the number of gallons of gas that are used, then we have the relationship
<em>(this says the car travels 17 miles for each gallon of gas).</em>
Now, when 
, we have
and when 
, we have
So, when goes from 170 to 340, goes from 
to 
.
Therefore, when ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.
Answer:
Option A.
Step-by-step explanation:
The given expression is
![\dfrac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B7%5D%7Bx%5E2%7D%7D%7B%5Csqrt%5B5%5D%7By%5E3%7D%7D)
where, 
.
We need to find the expression which is equivalent to the given expression.
The given expression can be rewritten as
![[\because \sqrt[n]{x}=x^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
![[\because (a^m)^n=a^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%5Em%29%5En%3Da%5E%7Bmn%7D%5D)
![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
Therefore, the correct option is A.
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split
into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
<span>(√2+√6)
/ 4</span>
<span>Which decimal represents the fraction of plants in this group that have flowers? Image of 5 plants. 4 of the plants have flowers. </span>The answer is c 1.5
Answer: The price of the apartment.
Step-by-step explanation:
We know that for a given apartment, the number of bedrooms, bathrooms, and floor determines the price.
Then we could define the variables:
x = number of bedrooms.
y = number of bathrooms
z = floor.
And define the price of the apartment as a function of these variables:
p(x, y, z) = price
Then the independent variables are x, y, and z.
And the dependent variable (this is, the variable that changes in response to the changes in the independent variables) will be the price of the apartment.
