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FinnZ [79.3K]
4 years ago
7

A frog is at the bottom of a 78 meter well. Each day he leaps 4 meters up the well. At night, while he is asleep, he slips 2 met

ers backwards.
How many days does it take him to escape from the well?
Mathematics
1 answer:
Y_Kistochka [10]4 years ago
3 0
78 divided by 4 = 19.5 so 19 and a half days to climb up the well. 
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Please help thanks!!
Minchanka [31]

-2|3x+2| = -12


|3x+2| = 6


3x + 2 = 6


3x + 4


x = 4/3


|3x+2| = -6


3x +2 = -6


3x = -8


x = -8/3


So we have the answers being 4/3 and -8/3

5 0
3 years ago
A company determines that monthly sales​ S(t), in thousands of​ dollars, after t months of marketing a product is given by ​S(t)
patriot [66]

Answer: a) S'(1) = 136; S'(2) = 104; S'(4) = 76;

b) S''(1) = -38; S''(2) = -26; S''(4) = -2

Step-by-step explanation:

a) S' means first derivative;

\frac{d}{dt}(6t³ - 45t² +180t +130) = 6t² - 50t + 180

S'(1) = 6.1² - 50.1 + 180

S'(1) = 136

S'(2) = 6.2² - 50.2 + 180

S'(2) = 104

S'(4) = 6.4² - 50.4 + 180

S'(4) = 76

b) S'' is the second derivative of S:

\frac{d^2}{dt^2}(6t² - 50t + 180) = 12t - 50

S''(1) = 12.1 - 50

S''(1) = -38

S''(2) = 12.2 - 50

S"(2) = -26

S"(4) = 12.6 - 50

S"(4) = -2

c) Derivative is the rate of change of a function. The first derivative is the slope of the tangent line to the graph if the function in a determined point, while the second derivative measures how the rate of change is changing.

Analysing the values, we can conclude that the sales of the product after t months is decreasing at a rate of 12.

7 0
3 years ago
The triangular face of the prism shown has an interior angle with a measure of 75º and an exterior angle with a measure of 110°
coldgirl [10]

Answer:

A 35°

Step-by-step explanation:

180°-110°=70°

180°-70°-75°=35°

5 0
3 years ago
What is the solution to log2(2x^3-8)-2log2x=log2x?
Alexxandr [17]

Answer:

<h2>x = 2</h2>

Step-by-step explanation:

\\\\\text{Domain:}\\\\2x^3-8>0\ \wedge\ x>0\\2x^2>8\to  x^3>4\to x>\sqrt[3]4\\\\x\in(\sqrt[3]{4},\ \infty)\\\\\log_2(2x^3-8)-2\log_2x=\log_2x\qquad\text{add}\ 2\log_2x\ \text{to both sides}\\\\\log_2(2x^3-8)=3\log_2x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_2(2x^3-8)=\log_2x^3\iff2x^3-8=x^3\qquad\text{subtract}\ 2x^3\ \text{from both sides}\\\\-8=-x^3\qquad\text{change the signs}\\\\8=x^3\to x=\sqrt[3]8\\\\x=2\in D

5 0
3 years ago
Two numbers have a difference of 28. If the sum of the squares of the numbers is
Lynna [10]

Answer:

The two numbers are 182 and 210. I hope this will help you.

7 0
3 years ago
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