The average number of viewers over the two week is D. 4.85 x 10^5.
<h3>How to calculate the value?</h3>
It should be noted that the scientific notation simply has to do with writing of numbers that are either too large or too small. This will be illustrated thus:
In this case, the TV show had 5.6 x 10^5 viewers in the first week and 4.1 x 10^5 viewers in the second week.
Therefore, the average number of viewers over the two weeks will be:
= (5.6 × 10^5) + (4.1 × 10^5) / 2
= 4.85 × 10^5
Note that we had to divide by 2 since it's average.
Learn more about notation on:
brainly.com/question/5756316
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The correct answer is: [B]: " 3 " .
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Note:
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The question asks:
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If (5⁴)ᵐ = 5¹² ; then what is "m" ?
Note the following property of exponents:
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(xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;
Then, (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .
So, "12 ÷ 4 = 3" .
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The answer is: "m = 3" ; which is: Answer choice: [B] .
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64-35= 29
so there were 29 boys included in the survey
<em>Question:</em>
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
—————
<em>Solution:</em>
Call those two angles x and y, where x is the larger one.
If they are complementary, then their sum equals 90°:
x + y = 90° (i)
Also, the ratio between x and y is 3 : 2, so
x 3
—— = ——
y 2
Product of the extremes = product of the means:
2x = 3y
2x – 3y = 0 (ii)
Now, just solve this system of equations:
x + y = 90° (i)
2x – 3y = 0 (ii)
Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:
Multiply the equation (i) by 3,
3x + 3y = 270° (iii)
2x – 3y = 0 (ii)
then add both equations, so you cancel out the variable y:
3x + 2x + 3y – 3y = 270° + 0
3x + 2x = 270°
5x = 270°
270°
x = ———
5
x = 54° <——— this is the measure of the larger angle.
I hope this helps. =)
Tags: <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
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Answer:
Ari has 14 pennies.
Step-by-step explanation:
Number Value Total value
Pennies p $0.01 0.01p
Nickels (22 - p) $0.05 $(22 - p)0.05
Total 22 - $0.54
Since Ari has total value of the coins = $0.54
0.01p + (22 - p)0.05 = 0.54
0.01p - 0.05p + 1.1 = 0.54
-0.04p = -0.56
p =
p = 14
Therefore, total number of pennies Ari has = 14