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Allisa [31]
3 years ago
11

Please help i will give brainliest this is really important it looks like a lot but its only one question

Mathematics
2 answers:
Ilya [14]3 years ago
6 0

Answer:

f(s(w)) = 80w+30

Step-by-step explanation:

Given

The function g(s) = 2s + 30 that represents the number of flowers that bloomed, where s is the number of seeds she planted.

The function s(w) = 40w represents the number of seeds she plants per week, where w represents the number of weeks.

Required

Composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks.

The composite expression needed is g(s(w)

g(s(w)) = f(40w)

To get g(40w), we will replace s with 40w in g(s) as shown;

g(s) = 2s+30

g(40w) = 2(40w)+30

g(40w) = 80w+30

g(s(w)) = 80w+30

Hence the required composite function is expressed as g(s(w)) = 80w+30

larisa [96]3 years ago
5 0

Answer:

f(s(w)) = 80w+30

Step-by-step explanation:

Just wanted to confirm, the person who answered your question prior to mine is correct. I just took the exam on polynomial operations and graded, this was what I had written, and it is correct. W represents the weeks in f[s(w)], where its added to 80. s(w) tells the number of seeds per each week.

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Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form x^{2}+2ax+a^{2}=(x+a)^{2}.

This results in x^{2} + 14x + 7^{2} = 15 + 7^{2}.

Next, we <u>simplify the equation</u> to get x^{2} +14x+7^{2} = 64.

<u>Factoring </u>the left side gives us (x+7)^{2} = 64.

Finally we <u>solve the equations</u>: x+7=\sqrt{64} and x+7=-\sqrt{64}.

This gives us  x=1, and x=-15

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Step-by-step explanation:

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From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is
Nataliya [291]
<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

volume \: of \: the \: cylinder \:  =  \pi {r}^{2} h

=  > \pi \times  {5}^{2} \times  12 {cm}^{3}   = 300\pi {cm}^{3}

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

slant \: height \: of \: the \: cone \:  =  \sqrt{ {h}^{2}  + \:  {r}^{2} }

=  >  \sqrt{ {5}^{2}+{12}^{2} } cm \:  = 13cm

Volume of the cone = 1/3 *πr^2h

=  >  \frac{1}{3} \pi \times  {5}^{2}   \times 12 {cm}^{3}  = 100\pi {cm}^{3}

therefore, the volume of the remaining solid

= 300\pi {cm}^{3}  - 100\pi {cm}^{3}  \\  = 200 \times 3.14 {cm}^{3}  = 628 {cm}^{3}

Curved surface of the cylinder =

2\pi \: rh \:  = 2\pi \times 5 \times 12 {cm}^{2}  \\  = 120\pi {cm}^{2} .

curved \: surface \: of \: the \: cone \:  = \pi \: rl \\  = \pi \times 5 \times 13 {cm}^{2}  \\  = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\  of \: cylinder \:  =  \\ =  \pi \:  {r}^{2}  = \pi \times  {5}^{2}

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

= 120\pi {cm}^{2}  + 65\pi {cm }^{2}  + 25 \pi {cm}^{2}  \\  = 210 \times 3.14 {cm}^{2}  = 659.4 {cm}^{2}

<h3>Hope it helps you!!</h3>

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