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3 years ago

Franco Jardin earns $7 an hour at his part time job last week he worked 16 hours what was his Gross pay for the week?

Mathematics

2 answers:

son4ous [18]3 years ago

8 0

Franco jardin earned 112$ this week

Oliga [24]3 years ago

6 0

If he worked 16 hours at 7$ an hour his gross income would be $112

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Answer no explantion pls i need asap

irga5000 [103]

Answer:

Below.

Step-by-step explanation:

Area = 5(x + 3)

= 5x + 15

Perimeter = 2(x + 3) + 2(5)

= 2x + 6 + 10

= 2x + 16.

3 0

2 years ago

use the general slicing method to find the volume of The solid whose base is the triangle with vertices (0 comma 0 ), (15 comma

lyudmila [28]

Answer:

volume V of the solid

$\boxed{V=\displaystyle\frac{125\pi}{12}}$

Step-by-step explanation:

The situation is depicted in the picture attached

(see picture)

First, we divide the segment [0, 5] on the X-axis into n equal parts of length 5/n each

[0, 5/n], [5/n, 2(5/n)], [2(5/n), 3(5/n)],..., [(n-1)(5/n), 5]

Now, we slice our solid into n slices.

Each slice is a quarter of cylinder 5/n thick and has a radius of

-k(5/n) + 5 for each k = 1,2,..., n (see picture)

So the volume of each slice is

$\displaystyle\frac{\pi(-k(5/n) + 5 )^2*(5/n)}{4}$

for k=1,2,..., n

We then add up the volumes of all these slices

$\displaystyle\frac{\pi(-(5/n) + 5 )^2*(5/n)}{4}+\displaystyle\frac{\pi(-2(5/n) + 5 )^2*(5/n)}{4}+...+\displaystyle\frac{\pi(-n(5/n) + 5 )^2*(5/n)}{4}$

Notice that the last term of the sum vanishes. After making up the expression a little, we get

$\displaystyle\frac{5\pi}{4n}\left[(-(5/n)+5)^2+(-2(5/n)+5)^2+...+(-(n-1)(5/n)+5)^2\right]=\\\\\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}(-k(5/n)+5)^2$

But

$\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}(-k(5/n)+5)^2=\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}((5/n)^2k^2-(50/n)k+25)=\\\\\displaystyle\frac{5\pi}{4n}\left((5/n)^2\displaystyle\sum_{k=1}^{n-1}k^2-(50/n)\displaystyle\sum_{k=1}^{n-1}k+25(n-1)\right)$

we also know that

$\displaystyle\sum_{k=1}^{n-1}k^2=\displaystyle\frac{n(n-1)(2n-1)}{6}$

and

$\displaystyle\sum_{k=1}^{n-1}k=\displaystyle\frac{n(n-1)}{2}$

so we have, after replacing and simplifying, the sum of the slices equals

$\displaystyle\frac{5\pi}{4n}\left((5/n)^2\displaystyle\sum_{k=1}^{n-1}k^2-(50/n)\displaystyle\sum_{k=1}^{n-1}k+25(n-1)\right)=\\\\=\displaystyle\frac{5\pi}{4n}\left(\displaystyle\frac{25}{n^2}.\displaystyle\frac{n(n-1)(2n-1)}{6}-\displaystyle\frac{50}{n}.\displaystyle\frac{n(n-1)}{2}+25(n-1)\right)=\\\\=\displaystyle\frac{125\pi}{24}.\displaystyle\frac{n(n-1)(2n-1)}{n^3}$

Now we take the limit when n tends to infinite (the slices get thinner and thinner)

$\displaystyle\frac{125\pi}{24}\displaystyle\lim_{n \rightarrow \infty}\displaystyle\frac{n(n-1)(2n-1)}{n^3}=\displaystyle\frac{125\pi}{24}\displaystyle\lim_{n \rightarrow \infty}(2-3/n+1/n^2)=\\\\=\displaystyle\frac{125\pi}{24}.2=\displaystyle\frac{125\pi}{12}$

and the volume V of our solid is

$\boxed{V=\displaystyle\frac{125\pi}{12}}$

3 0

3 years ago

One day in January the temperature dropped steadily from 3 degrees to negative 3 degrees. What was the change in temperature

AveGali [126]

6 degrees. ddrrgtexc7ehdb

6 0

3 years ago

A bag contains a variety of different colored marbles. P( red)= 1/2, P( green) = 1/4, and P( red and green) = 1/8 , which statem

Veronika [31]

Answer:

Step-by-step explanation:

The 1 choice. The events are independent because P(red) ×P(green)= P(red and green)

6 0

3 years ago

Read 2 more answers

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 100 models

gregori [183]

The given model would make the least sense to use for x=-2.75.

the given function is:

$h(x)= -16x^2 +100$

a quadratic relationship,

where

h is the height in feet

x is the time in seconds

<h3>what is kinetic energy?</h3>

Kinetic energy is a form of energy that an object or a particle has by reason of its motion.

as we know that time always appears to run forward, never backward. cannot take negative values so option 1 i.e 2.75 is not possible. Also, after a certain period of time object will vanish all its kinetic energy, resulting in h=0 but h(-2.75)= -21 which is meaningless.

h(-2.75) = $-16*(-2.75)^2+100 = -21\\$

h(0.25) = $-16*0.25^2 +100=99$ $-0.25^2*16+100=99$

h(1.75) = $-16*1.75^2+100=51$

h(25) = $-16*2.25^2+100= 19$

therefore, x=-2.75 this model would make the least sense to use

to get more about kinetic energy refer to:

brainly.com/question/114210

6 0

2 years ago