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1 year ago

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Question 4 of 10Estimate the difference of the decimals below by rounding to the nearestwhole number. Enter your answer in the s

pace provided.80.355 -1.267

1 answer:

valentinak56 [21]1 year ago

6 0

find: 80.355-1.267

Explanation: 80.355-1.267=

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Can someone please graph this?

Anvisha [2.4K]

Answer:

Hi ! I hope you're doing good

Here is your graph ...I hope it's helpful for you

Step-by-step explanation:

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3 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per

alisha [4.7K]

Answer:

It will take 1.6 hours for the two trains to be 336 miles apart.

Step by step explanation:

Given that:

Speed of eastbound train = 95 miles per hour

Speed of westbound train = 115 miles per hour

Combined speed = 95+115 = 210 miles

Distance = 336 miles

$Speed = \frac{Distance}{Time}\\\\210 = \frac{336}{Time}\\\\Time = \frac{336}{210}\\\\Time = 1.6\ hours$

Hence,

It will take 1.6 hours for the two trains to be 336 miles apart.

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3 years ago

What is the area of this figure?

Ugo [173]

Answer:

11610

Step-by-step explanation:

First you do the top rectangle which the area for that is 144 which is 4 times 4 times 3 times 3.

Then you do the middle rectangle which the area is 441 which is 7 times 7 times 3 times 3.

Then you do the last rectangle which the area is 11025 which is 15 times 15 times 7 times 7.

Then lastly you add all three areas which is 144+441+11025=11610. So therefore, the answer is 11610.

4 0

3 years ago

To make the color purple, Jamal's art teacher instructed him to mix equal parts of red paint and blue paint. To make a different

Reptile [31]

Answer:

Two parts red paint to one part blue.

Step-by-step explanation:

An example would be 2/3 cup red paint mixed with 1/3 cup blue.

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

4 years ago