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Jet001 [13]
3 years ago
10

What is the unit rate and state rate of 253 for 20 hours?

Mathematics
1 answer:
Vilka [71]3 years ago
6 0
The unit rate is 12.65 per hour. 
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Number 8 please! Please!
MariettaO [177]
Well we know she filled up her car 11 times each with 14 gallons.

All we have to do is multiply 11 by 14
11 x 14 = 154

Now the question says to estimate. And our answer can be rounded down to 150 gallons. 

So your answer is..
B.) 150 gallons. 

Good Luck! :)
7 0
3 years ago
Read 2 more answers
What am I supposed to do?
aleksley [76]
You take the amount paid and divide it by the amount of cheese. So 10.50 divided by 2.5 equals 4.2 and 12.60 divided by 3 equals 4.2 meaning that one pound of cheese costs $4.20
6 0
3 years ago
Does there exist a di↵erentiable function g : [0, 1] R such that g'(x) = f(x) for all x 2 [0, 1]? Justify your answer
agasfer [191]

Answer:

No; Because g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Step-by-step explanation:

Assuming:  the function is f(x)=x^{2} in [0,1]

And rewriting it for the sake of clarity:

Does there exist a differentiable function g : [0, 1] →R such that g'(x) = f(x) for all g(x)=x² ∈ [0, 1]? Justify your answer

1) A function is considered to be differentiable if, and only if  both derivatives (right and left ones) do exist and have the same value. In this case, for the Domain [0,1]:

g'(0)=g'(1)

2) Examining it, the Domain for this set is smaller than the Real Set, since it is [0,1]

The limit to the left

g(x)=x^{2}\\g'(x)=2x\\ g'(0)=2(0) \Rightarrow g'(0)=0

g(x)=x^{2}\\g'(x)=2x\\ g'(1)=2(1) \Rightarrow g'(1)=2

g'(x)=f(x) then g'(0)=f(0) and g'(1)=f(1)

3) Since g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Because this is the same as to calculate the limit from the left and right side, of g(x).

f'(c)=\lim_{x\rightarrow c}\left [\frac{f(b)-f(a)}{b-a} \right ]\\\\g'(0)=\lim_{x\rightarrow 0}\left [\frac{g(b)-g(a)}{b-a} \right ]\\\\g'(1)=\lim_{x\rightarrow 1}\left [\frac{g(b)-g(a)}{b-a} \right ]

This is what the Bilateral Theorem says:

\lim_{x\rightarrow c^{-}}f(x)=L\Leftrightarrow \lim_{x\rightarrow c^{+}}f(x)=L\:and\:\lim_{x\rightarrow c^{-}}f(x)=L

4 0
3 years ago
Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo
adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

\mathbf{Used = 70\% \times x}

Express percentage as decimal

\mathbf{Used = 0.7 \times x}

\mathbf{Used = 0.7x}

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

\mathbf{New= (1 + 15\%) \times x}

Express percentage as decimal

\mathbf{New= (1 + 0.15) \times x}

\mathbf{New= 1.15 \times x}

\mathbf{New= 1.15x}

The amount saved is the difference between the prices of the drones.

So, we have:

\mathbf{Saved =New - Old}

This gives

\mathbf{Saved =1.15x- 0.7x}

Subtract

\mathbf{Saved =0.45x}

Express as a function

\mathbf{f(x) = 0.45x}

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

brainly.com/question/13114933

7 0
2 years ago
4-62. Find the area and perimeter of the<br> below shape.<br> 7.6 ft<br> 3 ft<br> 7 ft<br> 7 ft
stepladder [879]

Answer:

area= 59.5    perimeter=31.6

Step-by-step explanation:

the area of the square is 49 because 7x7=49 and the area of the triangle is 3x7/2 because it is half of a rectangle so it is 10.5 + 49 = 59.5 and perimeter you add all the sides so 3+7.6+7+7+7= 31.6

8 0
2 years ago
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