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4 years ago

Can someone explain the anwser?

Mathematics

1 answer:

Nuetrik [128]4 years ago

6 0

Step-by-step explanation:

To find each term, take the value of k (the term number) and multiply it by the square of the previous term.

$c_{k}=k(c_{k-1})^{2},\ c_{0}=1\\\\c_{1}=1(c_{0})^{2}=1(1)^{2}\\c_{1}=1\\\\c_{2}=2(c_{1})^{2}=2(1)^{2}\\c_{2}=2\\\\c_{3}=3(c_{2})^{2}=3(2)^{2}\\c_{3}=12\\\\c_{4}=4(c_{3})^{2}=4(12)^{2}\\c_{4}=576\\\\c_{5}=5(c_{4})^{2}=5(576)^{2}\\c_{5}=1658880$

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PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of

Pachacha [2.7K]

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

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:

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

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

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

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

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

What is the approximate volume of this figure?

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

$\boxed{\boxed{\boxed{V = 334.93\:cm^3 \to Volume\:of\:the\:figure \approx 335\:cm^3 }}}\end{array}}\qquad\quad\checkmark$

Answer:

The volume of the figure is approximately 335 cm³

_______________________

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

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3 years ago

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Is 6.700 equal to 6.7?

Mariulka [41]

Yes because zeros have no value if they are after a decimal and have no number behind them

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3 years ago

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Find the distance of PQ<br> P(0,4) and Q(10,-6)

solong [7]

Answer:

PQ ≈ 14.14 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = P (0, 4 ) and (x₂, y₂ ) = Q (10, - 6 )

PQ = $\sqrt{(10-0)^2+(-6-4)^2}$

= $\sqrt{10^2+(-10)^2}$

= $\sqrt{100+100}$

= $\sqrt{200}$

≈ 14.14 units ( to 2 dec. places )

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2 years ago

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HELP ALSO IGNORE THE SKETCH THING I EONT NEED THAT

adell [148]

Answer:

A. 92% bc 100-8= 92 so 216 animals are 92% of the now 233 animals after 8% increase.

B. 100% bc that is the final # of animals.

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Where would you plot the vertex on the graph of the following absolute value equation? enter your answer as an ordered pair (x,y

makvit [3.9K]

Answer:

The absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).

Step-by-step explanation:

Considering the absolute value equation

$y=|x-5|+10$

To find the x coordinate of the vertex, set the inside of the absolute value $x - 5$ equal to zero.

In this case,

$x - 5=0$

$x=5$

Replace the variable x with 5 back into the equation and solve for y.

$y=|(5)-5|+10$

$y=0+10$

$y = 10$

Therefore, the absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).

Keywords: absolute value function, vertex

Learn more about absolute value function from brainly.com/question/6507101

#learnwithBrainly

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