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andriy [413]
3 years ago
14

20 POINTS BRAINLIEST

Mathematics
1 answer:
RSB [31]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Exponential decay should be in this format A = Ao × e^(-kt)

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Find the nth term of<br>1x2x3+2x5x6+3 x 4x​
vlada-n [284]

Answer:

66+12x

Step-by-step explanation:

1x2x3+2x5x6+3x4x

6+60+12x

66+12x

7 0
3 years ago
Tanya is training a turtle for a turtle race. For every of an hour that the turtle is crawling, he can travel of a mile. At what
Romashka-Z-Leto [24]
I think you meant half when you said of right... if u did the answer is <span>2/25 divided by 1/2 wich is .04</span>
7 0
3 years ago
A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surfa
lyudmila [28]

Answer:

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Step-by-step explanation:

Given;

Initial position y1= 80 ft below the surface of water = -80ft

Final Position y2 = 15 ft above the surface = +15ft

The vertical distance travelled by the shark is;

∆y = y2 - y1 = 15 - (-80) ft

∆y = 15 +80 ft

∆y = 95 ft

the vertical distance the shark travels is 95 ft

6 0
3 years ago
Consider the region, R, bounded above by f(x)=x2−6x+9 and g(x)=−3x+27 and bounded below by the x-axis over the interval [3,9]. F
Salsk061 [2.6K]

Answer:

22.5

Step-by-step explanation:

The region R contains every point of the plane with coordinate x between 3 and 9, and with coordinate y positive such that y < f(x) and y < g(x).

We can note that both f and g are positive on [3,9] because g is a decreasing linear function and g(9) = 0, thus g is positive in every other point of the interval, and f(x) = (x-3)^2 is always positive excpept when x = 3, where it reaches the value 0.

The interception of the graphs takes place for a value x such that f(x) = g(x).

We compute x^2-6x+9 = -3x + 27, thus x^2-6x+9-(-3x + 27) = x^2-3x -18 = 0.

The roots of that quadratic function are

r_1, r_2 = \frac{3 ^+_- \sqrt { 9 +72}}{2} = \frac{3^+_-9}{2} , thus r1 = 6, r2 = -3. We dont care about -3 because it is outside the interval, but we know that f and g graphs intersects on x = 6. Thus, we obtain, due to Bolzano Theorem:

  • On the interval [3,6), the function f in smaller because it takes the value 0 on x=3, while g is always positive.
  • On the interval (6,9]. the function g is smaller because it takes the value 0 on x=9, while f is always positive

Hence, the upper bound is f on the interval [3,6) and g on the interval (6,9]. While the lower bound is the 0 function.

We need to calculate the following integral, using Barrow's rule

\int\limits^6_3 {x^2-6x+9} \, dx + \int\limits^9_6 {-3x+27} \, dx = (\frac{x^3}{3} - 3x^2 + 9x) |^6_3 + (\frac{-3x^2}{2} + 27x)|^9_6 = \\  (18 - 9) + (121.5-108) = 22.5

As a result, the area of the region R is 22.5

6 0
3 years ago
Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
ad-work [718]

Part A: $225y+5x=$480

Part B: f(480)=225=5x

Part C: I'm not sure how to do this but I hope that A and B helps!

5 0
3 years ago
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