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Mashutka [201]
3 years ago
6

Square root of 216k^4

Mathematics
1 answer:
Kitty [74]3 years ago
7 0
Remember
\sqrt{ab}=(\sqrt{a})(\sqrt{b})

so
\sqrt{216k^4}=(\sqrt{216})(\sqrt{k^4})=(6\sqrt{6})(k^2)=6k^2\sqrt{6}

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A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a sat
ivolga24 [154]

Answer:

c=\frac{16}{39}

Step-by-step explanation:

The probability density function is :

f(x)=c(1-\frac{1}{16}x^{2})

With 0 < x < 3

To be a valid probability density function :

\int\limits^b_a {f(x)} \,dx=1

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1

c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1

c(3-\frac{1}{16}\frac{3^{3}}{3})=1

c(\frac{39}{16})=1

c=\frac{16}{39}

We can verify by replacing ''c'' in the original probability density function and integrating :

\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=

=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1

Also, f(x) ≥ 0 for 0 < x < 3

4 0
3 years ago
Help its geometry pleaseeee​
faust18 [17]

I'm hoping that a lot of people will come along on Brainly, see your questions, and give you as much help as you've been giving other people when you answered THEIR questions.

The total area of the garden is 97.5 square feet.  48.75 square feet of that space is planted with tomatoes, and the other 48.75   square feet is dedicated to cucumbers.

7 0
3 years ago
Square root of 63009 upto three decimal places
Mama L [17]

Answer:

251.0159 is your answer.

I HOPE IT WILL HELP YOU.

Thank you.

5 0
3 years ago
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Kimberly is planning to drive 2916 miles on a road trip. if she wants to complete the trip in 6 days, how many miles will she ne
Alex_Xolod [135]
The road trip is 2916 miles long, if she wants to complete the trip in 6 days she will need to drive ___ miles per-day.

To figure this out we will need to divide 2,916 by 6 days
2,916/6 = 486 miles
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3 years ago
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18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fuer
Katyanochek1 [597]

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean x, y la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

x+y = 18 (1)

Masa de cada caja de peras

y\cdot m_{P} = 210 (2)

y = 6 (3)

Masa de caja de manzanas

m_{M} = m_{P}+7 (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

m_{P} = 35\,kg

Por (4), encontramos que la masa de cada caja de manzanas es:

m_{M} = 35\,kg+7\,kg

m_{M} = 42\,kg

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

x = 18-y

x = 12

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

M = (12)\cdot (42\,kg)

M = 504\,kg

504 kilos de manzanas fueron llevados a la escuela.

7 0
3 years ago
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