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3 years ago

Evaluate each expression if a=2, b=3 and c=4 A.) 2a+4b-c B.) 6(a+c)-b

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

Answer:

Step-by-step explanation:

A.) 2a+4b-c: Replacing a with 2, b with 3 and c with 4, we get:

2(2) + 4(3) - (4) = 4 + 12 - 4 = 12

B.) 6(a+c)-b: Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.

The work inside parentheses should be done first, resulting in 6(6) - 3.

This comes out to 33.

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Harman [31]

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2 years ago

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An observer (O) is located 500 feet from a school (S). The observer notices a bird (B) flying at a 39° angle of elevation from h

Serhud [2]

Answer:

h=404.89

Step-by-step explanation:

We are looking for side h, which is opposite of the observer. We know that the side adjacent to the observer is 500 feet. We also know that the angle from the observer to the bird is 39°. Because we have these values, SOH CAH TOA tells us that we should use tangent, opposite over adjacent.

We can set up our equation as follows:

tan(39°)=h/500

We can then solve for h:

500*tan(39°)=h

h=404.89

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2 years ago

6x10 to the 2 power + 45

trasher [3.6K]

Answer:

the answer is 60045

Step-by-step explanation:

the answer is 60000 because 6×10=60×100=60000+45=60045

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2 years ago

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Rewrite the equation 10=1,000 with an exponet that makes it true .

inn [45]

10^3= 1,000
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2 years ago

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A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation The fill v

trapecia [35]

Answer:

84.13% of bottles will have volume greater than 994 mL

Step-by-step explanation:

Mean volume = u = 1000

Standard deviation = $\sigma$ = 6

We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.

x = 994

Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:

$z=\frac{x-u}{\sigma}$

Substituting the values, we get:

$z=\frac{994-1000}{6}=-1$

This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.

i.e. P(z > -1)

From the z-table this value comes out to be:

P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:

P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%

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2 years ago