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3 years ago

Letter G is plotted in which Quadrant?

Mathematics

1 answer:

aleksklad [387]3 years ago

3 0

Answer:

please send the picture of the question plz!

Step-by-step explanation:

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0.56 yards of rope are cut Into 8 equal lengths. How long will each piece be after they are cut

shutvik [7]

Answer:

8/0.56, which equals 14.2857142857, but rounded it would equal 14.3! I am not sure if this is correct but I tried!

Step-by-step explanation:

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3 years ago

What is the coefficient in the expression 3n + 8?

ohaa [14]

Answer:

Step-by-step explanation:

Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

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3 years ago

Read 2 more answers

The equation that represents this description is h = 20c + 60 because hours (h) is our dependent variable and cost (c) is our in

MrRissso [65]

Answer:

c= 20h + 60

Step-by-step explanation:

The correct dependent variable for this equation is "c" cost of Mr Z's tutoring. The independent variable is "h" hours of tutoring. This is because the independent variable h hours should determine the cost of tutoring c. Therefore the equation can be interpreted: if there are h hours of tutoring which cost 20 per hour, total cost is equal c. Also slope of the equation is 20, coefficient of h.

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3 years ago

Diagram 5 shows a right cylinder with a diameter of 2xcm. Given that the total surface area of the cylinder is 96cm³.Find the ma

Paraphin [41]

Given:

The diameter of the right cylinder is 2x cm.

The total surface area is 96 cm cube.

The radius is calculated as,

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{2x}{2} \\ r=x\text{ cm} \end{gathered}$

The total surface area is,

$\begin{gathered} S=2\pi rh+2\pi(r)^2 \\ 96=2\pi xh+2\pi(x^2) \\ h=\frac{96-2\pi(x^2)}{2\pi x} \end{gathered}$

Volume is,

$\begin{gathered} V=\pi(r)^2h \\ =\pi(x^2)\frac{96-2\pi(x^2)}{2\pi x} \\ =\frac{x(96-2\pi(x^2)}{2} \end{gathered}$

Now, differentiate with respect to x,

$\begin{gathered} \frac{dV}{dx}^{}=\frac{d}{dx}(\frac{x(96-2\pi(x^2)}{2}) \\ =\frac{d}{dx}\mleft(x\mleft(-\pi x^2+48\mright)\mright) \\ =\frac{d}{dx}\mleft(x\mright)\mleft(-\pi x^2+48\mright)+\frac{d}{dx}\mleft(-\pi x^2+48\mright)x \\ =1\cdot\mleft(-\pi x^2+48\mright)+\mleft(-2\pi x\mright)x \\ =84-3\pi(x^2)\ldots\ldots\ldots\ldots\text{.}(1) \end{gathered}$

Now,

$\begin{gathered} \frac{dV}{dx}=0 \\ 84-3\pi(x^2)=0 \\ x^2=\frac{16}{\pi} \\ x=\sqrt[]{\frac{16}{\pi}} \end{gathered}$

Now, differentiate (1) with respect to x again,

$\begin{gathered} \frac{d^2V}{dx^2}=\frac{d}{dx}(84-3\pi(x^2)) \\ =-6\pi x \\ At\text{ x=}\sqrt[]{\frac{16}{\pi}} \\ \frac{d^2V}{dx^2}=-6\pi\sqrt[]{\frac{16}{\pi}}$

Since, the double derivative is negative.

$So,\text{ the volume is maximum at }\sqrt[]{\frac{16}{\pi}}$

So, the volume becomes,

$\begin{gathered} V=\pi(x^2)h \\ V=\pi(\sqrt[]{\frac{16}{\pi}})^2h \\ V=\frac{16h}{\pi} \end{gathered}$

Answer: maximum volume of the cylinder is,

6 0

1 year ago

Consider the equation 3x + 1 = 2x + 5

fomenos

You can’t technically solve it because there’s no question

3 0

3 years ago