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3 years ago

1) w(x) = 3x + 1; Find w{-4- x)

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

6 0

Answer:

-3x - 11.

Step-by-step explanation:

We replace the x in w(x) by (-4-x):

w(-4-x) = 3(-4 - x) + 1

= -12 - 3x + 1

= -3x - 11.

Olegator [25]3 years ago

5 0

Answer:

=-3x-11

Step-by-step explanation:

w(x) = 3x + 1

w{-4- x}

=3(-4- x)+1

=-12-3x+1

=-11-3x

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labwork [276]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{4^3}{3}$

$V = 2*3.14 * \dfrac{64}{3}$

$V = \dfrac{401.92}{3}$

$\boxed{ V_{hemisphere} \approx 133.97\:cm^3}$

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

$\boxed{\boxed{\boxed{Volume\:of\:the\:figure = 334.93\:cm^3}}}\end{array}}\qquad\quad\checkmark$

_______________________

I Hope this helps, greetings ... Dexteright02! =)

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3 years ago

Ulleksa [173]

Answer:

13) 0.61 cent

14) 13.78 $

15) 3.82 $

Step-by-step explanation:

Hope this helps

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A geometric sequence is defined by the explicit formula an=5(-4)^n-1 what is the recursive formula for the nth term of this sequ

Furkat [3]

Hello,

$a_{n}=5*(-4)^{n-1}\\
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Formula\ is\ :\\
 a_{n}=-4*a_{n-1}\\
a_{1}=5\\


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