Jerome's rain gauge showed 13 9/10 centimeters at the end of last month. At the end of this month, the rain gauge showed 15 3/10
2 answers:
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Answer:
Step-by-step explanation:
Given that,
The bacterial increase a factor of 31 every day ,
Day 0 = 1 bacterium = 31^0
Day 1 = 31 bacterial = 31¹
Day 2 = 31× 31 bacterial = 31²
Day 3 = 31 × 31 × 31 bacterial = 31³
And so on,
Then, nth day will have
Day n = 31ⁿ bacterial
So, when will the bacterial be 1,000,000,000
Then,
31ⁿ = 1,000,000,000
Take the Natural logarithmic to base 31 of both sides
Log_31 (31)ⁿ = Log_31 (1,000,000,000)
n•Log_31 (31) = Log_31 (1,000,000,000)
Then, log_a (a) = 1
n = Log_31 (1,000,000,000)
Check attachment for better view
Then,
The correct answer is A
Answer:
Step-by-step explanation:
6) Let John's sister age be x
John's age =
{Subtract 7 from both sides}
x = 56
His sister's age = 56 years
7) Longest side is hypotenuse. Use Pythagorean theorem.
hypotenuse² =base² + altituse²
15² = 12² + 9²
225 = 144 + 81
225 = 225
So, Pythagorean theorem is satisfied. So, 15cm , 12 cm ,9 cm will make a right angled triangle.
9) q = -1
7p + 5q -3 = 0
7p + 5*(-1) - 3 = 0
7p -5 - 3 = 0 {Combine like terms}
7p - 8= 0
7p = 8 {Divide both sides by 7}
p = 8/7
10) 8 - 3(x + 1) = 5 {Distributive property: a(b + c) = a*b + a*c}
8 - 3x - 3 = 5 {Combine like terms}
-3x + 5 = 5 {Subtract 5 from both sides}
-3x = 5 - 5
-3x = 0
x = 0
11) -20x⁴ - 7x³ + 5x² + 20 - ( 8x⁴ -7x² + 29x - 17)
= -20x⁴ - 7x³ + 5x² + 20 - 8x⁴ + 7x² - 29x + 17
= -20x⁴ - 8x⁴ - 7x³ + 5x² + 7x² - 29x + 20 + 17
= -28x⁴ -7x³ + 12x² - 29x + 37