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Anastasy [175]
3 years ago
13

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts t

o melt.
The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring.
s=-0.25t+4
By how much does the ice sheet's thickness decrease every 6 weeks?

____ meters
Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:

2.5 meters each week.

Step-by-step explanation:

Plug in 6 weeks for <em>t </em>and your equation would be s = -2.5(6) + 4. After solving you would get 2.5 meters.

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Use your calculator to evaluate the limit of x equals 1 to 3 of e raised to the x squared power, dx. Give your answer to the nea
xz_007 [3.2K]
The integral of e raised to x squared dx to the limit from 1 to 3 translating in equation we get
∫1-3 e^(X^2) dx.

Solving using scientific calculator, we have  1443.082471 or simply 1443.

<em>ANSWER: 1443</em>
7 0
3 years ago
If f(x-3)=x^2-4x+5, what's f(1-x)​
olganol [36]

Answer:

\large\boxed{f(1-x)=x^2-4x+5}

Step-by-step explanation:

f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2

f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5

4 0
4 years ago
Problem 2-11 (Algorithmic) Let A be an event that a person's primary method of transportation to and from work is an automobile
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The events are mutually exclusive, because your primary method can't be both a driving a car or taking a bus.

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P(A\lor B)=P(A)+P(B)=0.48+0.32=0.8

Since a person primarily takes a bus with probability 0.32, the opposite happens with probability

1-P(B) = 1-0.32=0.68

7 0
3 years ago
HELP, PLEASE!
xeze [42]
The answer is a)18 because 47-29=18 which is what’s left of the line
8 0
4 years ago
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6 0
3 years ago
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