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3 years ago

Determine whether or not each of the following equations is dimensionally homogeneous. Show your work.

Mathematics

1 answer:

andrey2020 [161]3 years ago

4 0

a and b are dimensionally homogenous but c and d aren't.

Force = N (newtons) = kg * m/s^2

Therefore,

a) F = m* a = kg m/s^2 (since m (mass) = kg and a (acceleration)= m/s^2) = kg m/s^2

b) F = m*(v^(2)/r)= kg * ((m/s)^(2)/m) = kg m/s^2 = kg m/s^2

c) F = m * (v2-v1)= kg * (m/s - m/s) = kg m/s ≠ kg m/s^2

d) F= m * v = kg * m/s ≠ kg m/s^2

Hope this helps

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3 years ago

8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years, to th

chubhunter [2.5K]

Answer:

(About) 20043.46 after 14 years

Step-by-step explanation:

~ Let us apply a compound interest formula not through substituting values, but through a similar way of following this formula ~

1. First let us assign the values:

interest ⇒ 6.5 percent ( % ), principle number - start value ⇒ $ 8300, time ⇒ 14 years

2. Now let us convert interest ⇒ decimal form: 0.065

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4. Now let us take 1.065 exponentially to the power of itself 14 times, or in other words to the power of time ( 14 years ): 1.065^ 14 = 2.414874185.......

5. Multiply this infinite number by the principle number P, or most commonly known as the start value: 2.414874185....... * 8300 ⇒

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5 0

3 years ago

Help me please. Fill in the green box

faust18 [17]

According to the euclidean triangle theorem
9 = z² / 13
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3 years ago

Then determine which answer

shtirl [24]

Answer:

Step-by-step explanation:

The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3

Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.

Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.

So, the answer that follows these 2 conditions is B.

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2 years ago

What is the volume of the prism?

jeka57 [31]

The volume prism refers to the number of cubic units that will exactly fill the figure. The volume of a rectangular prism can be found or calculate by using the formula V=Bh, where B represents to the area of the base or in other words the length and width of the rectangle.

In this exercise is given that the measurements of a prism are 5/2ft, 3/2ft, and 7/2ft; and it is asked to find its volume. In order to find the volume of the prism, you should substitute the given values into the previous mention formula.

V=Bh
V=(5/2 ft)(7/2 ft)(3/2 ft)
V=(35/4 ft²)(3/2 ft)
V=105/8ft³ or $13 \frac{1}{8}$ ft³

The volume of the rectangular prism is $13 \frac{1}{8}$ ft³.

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3 years ago