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kolbaska11 [484]
3 years ago
6

What is the slope of the following equation?

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer: A. -3

Step-by-step explanation: The slope is the coefficent of x, this can be read as -3/1, down 3 over 1.

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3. Which rule best describes the last three numbers shown in the pattern? 10, 12, 9, 11​
sergij07 [2.7K]

Answer:

it goes by 2 two times then subtracts 3 then again

Step-by-step explanation:

10,12,9,11,8,10,7

5 0
3 years ago
The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
Brums [2.3K]
The answer is 509 ft^3


Formula:
V = πr^2h
V = 3.14 * 4.5^2 * 8
V = 3.14 * 20.25 * 8
V = 508.68 ft^3

508.68 rounded to the nearest whole number is 509

So the volume of the cylinder is 509 ft^3
5 0
3 years ago
Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 7y = sin(x)
Elza [17]
The first thing we must do in this case is find the derivatives:
 y = a sin (x) + b cos (x)
 y '= a cos (x) - b sin (x)
 y '' = -a sin (x) - b cos (x)
 Substituting the values:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 We rewrite:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
 sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
 From here we get the system:
 -b-8a = 1
 a-8b = 0
 Whose solution is:
 a = -8 / 65
 b = -1 / 65
 Answer:
 
constants a and b are:
 
a = -8 / 65
 
b = -1 / 65
4 0
3 years ago
The area of a rectangle is 144cm squared.if the length is 16cm. What's the perimeter?​
andreev551 [17]

Answer:

50

Step-by-step explanation:

rectangle area = 144 cm

Formula: A= L*H

The give the length which is 16

144 = 16*H

Since they gave u the area instead of the height, work backwards

144/16 = 16/16 *H

9 = H

Now you have the length and height

Length: 16

Height: 9

Perimeter is when you add up all the sides

The top and bottom of the rectangle is the length which is 16 so

16 + 16 = 32

The left and right side of the rectangle is the height which is 9 so

9 + 9 = 18

Now add then both

32 + 18 = 50

So the perimeter of the rectangle is 50

Hope this helped!

4 0
3 years ago
In the survey 12 students said that they would like to learn French Spanish was 36% French 24% German 18% other 22% how many stu
Rufina [12.5K]
200 hundred students were surveyed DUH!
4 0
3 years ago
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