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2 years ago

What is the population of china's capital in scientific notation?

Mathematics

1 answer:

Viefleur [7K]2 years ago

6 0

6.517209520 X 109 is the answer

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The average weight of three dogs is 55 pounds, and the average weight of five cats is 9 pounds. What is the average weight, in p

notsponge [240]

Answer:

Option D is correct

Step-by-step explanation:

Statement 1

Average weight of 3 dogs = 55 pounds

Total weight of 3 dogs = 55 × 3

Total weight of 3 dogs = 165 pound

Statement 2

Average weight of 5 cats = 9 pounds

Total weight of 5 cats = 9 × 5

Total weight of 5 cats = 45 pounds

New Average = 165 + 45/8

New Average = 210/8

New Average = 26.25 pounds

4 0

2 years ago

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In this problem, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solut

Norma-Jean [14]

Differentiate the given solution:

$x=C_1\cos(t)+C_2\sin(t) \implies x'=-C_1\sin(t)+C_2\cos(t)$

Now, given that x (π/4) = √2/2 … (I'm assuming there are symbols missing somewhere) … you have

$\dfrac{\sqrt2}2=C_1\cos\left(\dfrac\pi4\right)+C_2\sin\left(\dfrac\pi4\right)$

$\implies\dfrac1{\sqrt2} = \dfrac{C_1}{\sqrt2}+\dfrac{C_2}{\sqrt2}$

$\implies C_1+C_2=1$

Similarly, given that x' (p/4) = 0, you have

$0=-C_1\sin\left(\dfrac\pi4\right)+C_2\cos\left(\dfrac\pi4\right)$

$\implies 0=-\dfrac{C_1}{\sqrt2}+\dfrac{C_2}{\sqrt2}$

$\implies C_1=C_2$

From this result, it follows that

$C_1+C_2=2C_1=1 \implies C_1=C_2=\dfrac12$

So the particular solution to the DE that satisfies the given conditions is

$\boxed{x=\dfrac12\cos(t)+\dfrac12\sin(t)}$

7 0

2 years ago

How much is 4 raised to 4?

Over [174]

Answer:

4 raised to 4 is 256

Step-by-step explanation:

5 0

2 years ago

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A right circular cylinder with a diameter of 14 inches and a height of 10 inches has a volume, in cubic inches, of which of the

alukav5142 [94]

Answer:

The volume of right circular cylinder is 1540 cubic inches.

Step-by-step explanation:

Diameter of right circular cylinder is 14 inches

Radius of right circular cylinder is 7 inches

Height of cylinder is 10 inches

The volume of any cylindrical shaped object is given by :

$V=\pi r^2h\\\\V=\dfrac{22}{7}\times (7)^2\times 10\\\\V=1540\ \text{inch}^3$

So, the volume of right circular cylinder is 1540 cubic inches.

4 0

2 years ago

What is (2tan(10 degrees))/(1 - tan^2 (10 degrees)) expressed as a single trigonometric ratio?

Vinil7 [7]

Answer:

Answer is tan(20 degrees) so, D.

Step-by-step explanation:

4 0

1 year ago

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