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suter [353]
3 years ago
7

Which of these statements are true?

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Step-by-step explanation:

The theoretical probability is greater than experimental probability

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Which expression is equivalent to log3(x + 4)?
dangina [55]

Answer:

log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.

Step-by-step explanation:

By the logarithm product rule, for two nonzero numbers a and b,

\log{(a \cdot b)} = \log{(a)} + \log{(b)}.

Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.

For example, 3(x + 4) is the number in the logarithm \log{[3(x + 4)]}. Since 3(x + 4) is a product of the two numbers 3 and (x + 4), the logarithm \log{[3(x + 4)]} can be split into two. By the logarithm product rule,

\log{[3(x + 4)]} = \log{(3)} + \log{(x + 4)}.

However, \log{(x + 4)} cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.

5 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWERS FOR BOTH PART 1 AND 2 ONLY PLEASE!!!
professor190 [17]

1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2

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

f(x) = √x

g(x) = 2√x + 3  

  • adding 3 is a vertical shift up 3 units
  • multiplying by 2 is a vertical stretch by factor of 2

2. Answer: Domain: [0, ∞)

                   Range: [3, ∞)

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

g(x) = 2√x + 3  

Domain: The restriction on "x" is that the radical must be greater than or equal to 0.  So, x ≥ 0  Interval Notation: [0, ∞)

Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0.  Add 3 to that and y ≥ 3.  Interval Notation: [3, ∞)

8 0
3 years ago
Find v(w+3) for v(w)=2w-1
sergey [27]
So we have v(w) = 2w - 1

Now we make the following change: w ---> w +3.
So we change every "w" into a "w+3" as follows:

v(w) = 2w - 1 --------> v(w+3) = 2*(w+3) - 1

Let's solve this.
2*(w+3) - 1
2*w + 2*3 - 1
2w + 6 - 1
2w + 5

So

v(w+3) = 2w + 5
6 0
3 years ago
In this fraction, which number is the denominator? 1/15<br><br><br> A.<br> 1<br><br> B.<br> 15
sweet [91]

Answer: B. 15

Step-by-step explanation: The number on the bottom of the fraction is always the denominator, therefore 15 is the denominator in the fraction.

3 0
2 years ago
two similar triangles have a scale factor of 3:5. the altitude of the larger trangle is 24 inches. what is the altitude of the s
Andreyy89
The altitude of the smaller triangle will be given as follows:
let the altitude of the smaller triangle be x
scale factor of small to large triangle is 3:5
but
scale factor=(length of small Δ)/(length of large Δ)
plugging in our values we get:
3/5=x/24
solving for x we get:
x=3/5×24
x=14.4 inches

Answer: 14.4 inches
7 0
3 years ago
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