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Contact [7]
3 years ago
10

The graph shows a fir tree's diameter growth over a 50 year period.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

The answer is B.) The diameter of the fir tree when planted and 20 inches

Step-by-step explanation:

The y-intercept is the initial diameter of the fir tree (10 inches). At the end of 50 years, the tree's diameter is 30 inches. Therefore, 30 − 10 = 20 inches of growth occurred over the 50 year period. The diameter of the fir tree when planted. The fir tree's diameter was 10 inches when it was planted.

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Help pleasee
Mnenie [13.5K]
Let x be the amount of cement and y be the amount of sand. If <span>the ratio of cement to sand for mortar is 1:3, then \frac{x}{y} = \frac{1}{3} and y=3x.
</span>
So, if <span>Sandy puts in x=7 shovels of cement, then she puts y=3\cdot 7=21 shovels of sand.
</span><span>
</span><span>Answer: 21 shovels of sand.
</span>
6 0
3 years ago
Read 2 more answers
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it
Arisa [49]

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

7 0
2 years ago
Kiran is spending $12 on games and rides at another carnival, where a game
Alinara [238K]

Answer:

0.25x + y = 12

Step-by-step explanation:

Given

Kiran is spending $12 on games

it means that he can spend total of $12 on rides and games

number of games is represented by x

cost of 1 game = $0.25

cost of x games = $0.25*x = $0.25x

number of rides is represented by y

cost of 1 rides = $1

cost of x rides = $1*y = $y

Total cost for x games and y rides =cost of x games  + cost of y rides

Total cost for x games and y rides =  $0.25x + $y

given that Kiran is spending $12 on games

Total cost for x games and y rides will be $12

thus,

$12 = $0.25x + $y

removing dollar sign for equation formation

0.25x + y = 12

given above is the equation to represent the relationship between the dollar

amount Kiran is spending and the number of games, x, and the number of

rides, y.

3 0
3 years ago
Jonathon created a graph that shows the number of exercises he completes in his workout routine.
vitfil [10]

Answer:

3. Jonathon does 2 push-ups for every 15 crunches.

Step-by-step explanation:

Hope it helps

5 0
3 years ago
Read 2 more answers
Megan is sitting in her car in a parking lot. The car next to her pulls forward.If Megan is looking only at the car next to her
slega [8]
I think it is moving backward because when a car is parking and you are leaving, then you would be moving backward.

Hope this helped☺☺
8 0
3 years ago
Read 2 more answers
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