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SIZIF [17.4K]
4 years ago
5

Why are units of measure important when solving real-word problems?

Mathematics
1 answer:
dsp734 years ago
4 0
<h2>Answer:</h2>

In physics, we always measure quantities and compare them with a standard. That standard defines a unit of the quantity. Suppose you want to measure the length of a car, so you use a meter stick, which is the standard for measuring distances. Then, <em>why are units of measure important when solving real-world problems?</em> Well, because when solving problems that involve equations, they need to be dimensionally consistent, but what does it mean? it means that you can't add two terms having different units. For instance, you can't add apples with tables!

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Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

From theoption we have B as the correct answer.

7 0
4 years ago
Which of the following represents the most accurate estimation of 375+147
77julia77 [94]
You can round 375 up to 380 (because the ones is 5 or greater).  147 would be rounded to 150.  Then add 380 and 150 and that will give you 530.  375+147≈530
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