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skad [1K]
4 years ago
15

In a contest, each finalist must answer 4 questions correctly. Each question is worth twice as much as the question before it. T

he fourth question is worth 2,000. How much is the first question worth?
Show work.
Mathematics
2 answers:
lutik1710 [3]4 years ago
4 0
The answer is 250 points, to find this just divide by 2 three times.
Nataliya [291]4 years ago
3 0
250 points you just divide the numbers by two
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Evaluate each log without a calculator
Mrac [35]

QUESTION 1

The given logarithmic expression is

\log_4(\frac{1}{16})

We rewrite \frac{1}{16} in the index form to base 4.

This implies that;

\log_4(\frac{1}{16})=\log_4(4^{-2})

We now apply the power rule: \log_a(m^n)=n\log_a(m^n).

\log_4(\frac{1}{16})=-2\log_4(4)

Recall that logarithm of the base is 1.

\log_4(\frac{1}{16})=-2(1)

\log_4(\frac{1}{16})=-2

QUESTION 2

The given logarithm is;

\log_2(\sqrt[5]{32})

\log_2(\sqrt[5]{2^5})

This is the same as;

\log_2(2^{5\times \frac{1}{5}})

\log_2(2^{1})

\log_2(2)=1

6 0
3 years ago
The equation for line s can be written as y = x + 3. Line t, which is parallel to line s,
arlik [135]

Answer:

y=x-1

Step-by-step explanation:

6 0
3 years ago
Plz help idek what this could be
Rufina [12.5K]
This graph compares the value of various currency against the USD (US Dollar)

It displays how much of a currency is equal to one USD
6 0
3 years ago
1/9 rounded to the nearest 1/2.
iren2701 [21]
1/18 is the answer that I had gotten.
3 0
4 years ago
Read 2 more answers
What is 5 times 5 plus 67 divided by 0 plus 56?
katovenus [111]
(5 x 5 + 67) / (0 + 56)
<span>(5 x 5 + 67) / 56 (The zero is irrelevant.)
</span><span>(25 + 67) / 56 (5x5 = 25)
</span>92/56 (25+67=92)
1.64 (92/56 rounded to 2 decimal places.)

Note that this answer assumes the format shown in the first line, specifically regarding the parenthesis. If there are some in a different format (say instead 5 x (5 + 67)) then the answer will be different.
8 0
3 years ago
Read 2 more answers
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