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Bogdan [553]
4 years ago
8

Select the correct answer. Which of the graphs below represents the equation 3x − 2y = -12?

Mathematics
1 answer:
SashulF [63]4 years ago
3 0
We need to see the image in order to help you
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Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z).
liq [111]

Answer:

a) c'(t) = (2 Cos(t), -2 Sin(t), 9e^t)

b) c'(t) = (2 Cos(t), -2 Sin(t), 9e^t)

Step-by-step explanation:

We are given in the question:

c(t) = (2 Sin(t), 2 Cos(t), 9e^t)

F(x,y,z) = (y, -x, z)  

a) c'(t)

We differentiate with respect to t.

c'(t) = (2 Cos(t), -2 Sin(t), 9e^t)

b) F(c(t))

This is a composite function.

F(c(t)) = F(2 Sin(t), 2 Cos(t), 9e^t)

= (2 Cos(t), -2 Sin(t), 9e^t)

6 0
3 years ago
I don't know how to solve this please help
Romashka-Z-Leto [24]

Answer:  Choice D  (1-0.74)^4

Reason:

74% = 0.74 represents the probability of him making any given free throw.

This means 1 - 0.74 is the probability of him missing.

Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing (1-0.74)^4

In other words, we multiply exactly four copies of (1-0.74) to get our answer.

6 0
2 years ago
An airplane flies 810 km in 1.5 hours. How far will the plane fly into. Two hours if it maintains the same airspeed
nadezda [96]

It would help to first find the unit rate. We know that the plane flies 810 km per 1.5 hours. Divide by 1.5 on both sides:

810/1.5 = 540 km/hour

Then, multiply both the hour and the distance by 2:

540 * 2 = 1080 km/2 hours.

3 0
3 years ago
Read 2 more answers
PLEASE HELP 100 POINTS<br> write an equation of the horizontal line that passes through (-7,-10)
Vedmedyk [2.9K]

Answer:

y + 10 = 0

Step-by-step explanation:

Slope of horizontal line is zero (0)

m = 0

By point slope form of a line.

y-y_1 =m(x - x_1) \\  \\ y - ( - 10) = 0 \{x - ( - 7) \} \\  \\ y + 10 = 0 \{x + 7\} \\  \\y + 10 = 0 \\  \\

5 0
2 years ago
Read 2 more answers
A culture started with 5000 bacteria. after 4 hours, it grew to 6000. Predict how many bacteria will be present after 17 hours
kykrilka [37]

Answer:

A culture started with 5000 bacteria. after 4 hours, it grew to 6000.

=> Increasing rate = difference/time = (6000 - 5000)/4 = 250 bacteria/hour

=> The number of bacteria after 17 hours:

N = 5000 + 250 x 17 = 9250 bacteria

Hope this helps!

:)

4 0
3 years ago
Read 2 more answers
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