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ira [324]
3 years ago
8

morgan jogged 51.2 kilometers karen jogged 53.52 kilometers kelly jogged 6kilometers less than morgan how many kilometers did ka

ren jog that week than kelly
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0
53.52-(51.2-6)=8.32 KM
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Solve P=Kt/v for k
yan [13]
Multiple both sides of the equation by V, and divide both sides by T.. You'll get PV/T=KT/V*(V/T)=K.
8 0
3 years ago
For what values of x is f(x) = |x + 1| differentiable? I'm struggling my butt off for this course
pav-90 [236]

By definition of absolute value, you have

f(x) = |x+1| = \begin{cases}x+1&\text{if }x+1\ge0 \\ -(x+1)&\text{if }x+1

or more simply,

f(x) = \begin{cases}x+1&\text{if }x\ge-1\\-x-1&\text{if }x

On their own, each piece is differentiable over their respective domains, except at the point where they split off.

For <em>x</em> > -1, we have

(<em>x</em> + 1)<em>'</em> = 1

while for <em>x</em> < -1,

(-<em>x</em> - 1)<em>'</em> = -1

More concisely,

f'(x) = \begin{cases}1&\text{if }x>-1\\-1&\text{if }x

Note the strict inequalities in the definition of <em>f '(x)</em>.

In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:

\displaystyle \lim_{x\to-1^-}f'(x) = \lim_{x\to-1}(-1) = -1

\displaystyle \lim_{x\to-1^+}f'(x) = \lim_{x\to-1}1 = 1

All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.

4 0
3 years ago
The cost of, y, of a large pizza with x topping from pats pizzeria can be modeled by a linear function. A large pizza with no to
Firdavs [7]

Answer:

The cost would be 22.75

Step-by-step explanation:

To find the cost of each topping, we simply take the excess cost and divide it by the number of toppings. To find the excess cost, take the new cost and subtract the original cost.

17.50 - 14.00 = 3.50

Now divide that by the amount of toppings.

3.50/2 = 1.75

Now we can multiply the new number of toppings by that amount and add the cost of the pizza.

5(1.75) + 14.00

8.75 + 14.00

22.75

3 0
3 years ago
Read 2 more answers
Points J and K lie in plane H. Plane H contains two points. Point J is to the lower left and point K is to the uppercase right.
xxMikexx [17]

Answer:

1

Step-by-step explanation:

There's a theorem that says "through 2 points it only cross one and only one line". Having this as our start point, we can guarantee that there's only one line that can be drawn through those points

4 0
3 years ago
Read 2 more answers
A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.
juin [17]

Answer:

D 9.5

Step-by-step explanation:

Write data in increasing order.

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Find the median

<u>3, 5, 5, 6, 6, 6, 7, 7, 8, 8,</u> 8, <u>8, 8, 8, 9, 9, 10, 10, 10, 10, 11</u>

Median is 8

Lower half of the data is : 3, 5, 5, 6, 6, 6, 7, 7, 8, 8,

First quartile is the median of the lower half of the data=6+6 /2 =6

Upper half of the data is: 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

The Third quartile is the median of the upper half=9+10 / 2 = 9.5

<u />

3 0
3 years ago
Read 2 more answers
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