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3 years ago

6

I KNOW IT IT LONG BUT PLEASE HELP ME PLEASE

1 answer:

S_A_V [24]3 years ago

3 0

See I have had bad days in school Bc of so much homework and writing but thissssss

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The first rule is subtract 6 starting from 48. The second rule is subtract 3 starting from 30. What is the second ordered pair u

Natasha2012 [34]

Answer:

(42,48)?

Step-by-step explanation:

6 0

2 years ago

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A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

4 0

3 years ago

Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary)

ki77a [65]

Answer:

$j(s) = 0.05s -500$

Step-by-step explanation:

Given

$Base\ Salary = 2000$

$Commission = 5\%$ on Sales over 50000

Required

Determine the function j(s) for sales over 50000

Represent the total sales in a month with s.

Sales over 50000 in that month will be: s - 50000

So, the function j(s) is:

j(s) = Base Amount + Commission * Sales over 50000

$j(s) = 2000 + 5\% * (s - 50000)$

Convert % to decimal

$j(s) = 2000 + 0.05 * (s - 50000)$

Open bracket

$j(s) = 2000 + 0.05 * s - 0.05 * 50000$

$j(s) = 2000 + 0.05s - 2500$

Collect Like Terms

$j(s) = 0.05s - 2500 + 2000$

$j(s) = 0.05s -500$

3 0

3 years ago

2. What is the median of this set of values? (1 point)<br> 6, 8, 10, 8, 4, 2, 12

vredina [299]

Answer:8

Step-by-step explanation:

Right is the middle number when put in order form least to greastes

8 0

3 years ago

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How to write 0.08 in words and numbers?

Sergeeva-Olga [200]

Eight hundredths
0.08

You already got it with the number part ;)

5 0

3 years ago

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