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OverLord2011 [107]
3 years ago
12

When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least

accurate of the numbers being added. Group of answer choices True False
Mathematics
1 answer:
inessss [21]3 years ago
7 0

<u>Answer:</u> The given statement is true.

<u>Step-by-step explanation:</u>

Significant figures are defined as the figures that are present in a number. It expresses the magnitude of a quantity to a specific degree of accuracy.

There are some rules to detect the significant figures in a number:

  • All digits ranging from 1 to 9 are always considered significant.
  • Every non-zero number is always considered significant. For example, 274, 2.74, and 27.4 all have three significant figures.
  • All zero’s that are present between the integers is always considered significant. For example, 5007, 5.007, and 50.07 all have four significant figures.
  • All zero’s preceding the first integer is never considered significant. For example, 0.0089 has two significant figures.
  • All zeros that are present after the decimal point are always significant. For example, 4.800, 48.00, and 480.0 all have four significant figures.

<u>Rule applied when numbers are added or subtracted:</u>

The number having less number of significant figures after the decimal point will determine the number of significant figures in the final answer.

Hence, the given statement is true.

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Lf g(x) = x3 - 5 and h(x) = 2x - 2, find g(h(3)).
White raven [17]

Answer: g(h(3)) = 59

Step-by-step explanation:

Well if its x^3 I assume it is because you wrote other coefficients before the variable.

2(3) - 2 = 6-2 = 4

So 4 is the x input for h(x)

4^3 -5 = 64-5 = 59

7 0
3 years ago
Tracy McKinney is a disc jockey at radio station WMMM. Her annual salary is $52,750. What is her monthly salary?
attashe74 [19]
Okay, so since her annual salary is <span>$52,750 (the amount she gets a year, all twelve months combined) you're trying to find how much she gets monthly. That would mean we would have to divide her annual salary by 12 to find her monthly salary.

</span>$52,750 ÷ 12 = 4,395.8333333333333
<span>
And since that's a (bothersome) repeating decimal, we're going to have to round it. Once rounded, you would get $</span>4,395.83. That is her monthly salary.
5 0
3 years ago
What are the domain and range of the function f(x)= square rootx-7+9?
FinnZ [79.3K]

Answer:

Domain: [7, ∞)

Range: [9, ∞)

Step-by-step explanation:

1) This question may be easily answered if you are aware of the shape of the graph of sq. root x, and the effect of translations to graphs.

1. x - 7 means that the original graph is translated 7 units in the positive direction of the x-axis (ie. to the right), thus the minimum value for x is also shifted from 0 to 7

2. the + 9 means that the graph is translated 9 units in the positive direction of the y-axis (ie. up), thus the minimum y-value is also shifted from 0 to 9

3. We know that the graph will continue to infinity, both in the x- and y-direction

Thus, the domain would be [7, ∞) and the range [9, ∞)

2) Another way to think about it is to ask yourself when it would make sense for the graph to exist. For this, we must consider that you cannot take the square root of a negative number.

Thus, if we have the square root of (x - 7), for what value of x would (x - 7) be negative? If x = 7:

x - 7 = 7 - 7 = 0

Therefor, any x-value less than 7 will lead to a negative answer, which wouldn't be practical. Any value equal to or greater than 7 will lead to a positive answer, thus the permissible values for x are from 7 to infinity, and so the domain is [7, ∞) (note that square brackets are used for 7 as it is included in the domain, whereas infinity is always closed with round brackets).

If we have already found the domain, then we can simply substitute the values for this into the equation to obtain the range (note that this will work for a square root function, however some functions will have turning points and in this case you must calculate the range based on the turning points as well as the minimum and maximum x-values):

if x = 7: y = sq. root (7-7) + 9

= 9

This is the minimum value for y

if we have x = ∞, then the y value will also be infinitely great, therefor the maximum y-value is also ∞. Thus, the range is [9, ∞).

These questions are much easier to solve however if you are already aware of the basic graph and the effect of dilations, translations and reflections so that you may visualise it better.

4 0
3 years ago
The SI unit for speed is<br> a. m.<br> b. m/s.<br> c. m/s².<br> d. m/s west.
aniked [119]
Speed  =  Distance / Time

SI unit for Distance is meters, m,  and for time is seconds, s,

Speed  =  Distance / Time  = m/s

Option b.
7 0
3 years ago
Complete to show how you can find the sum by making a ten, hundred, or thousand.
Andrew [12]

8+5=

8+2+3

10+(-2)

I don't really get it though  

4 0
2 years ago
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