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sleet_krkn [62]
3 years ago
10

The graph represents the cost y (in dollars) to open an online gaming account and buy x games. Find the slope and the y-intercep

t of the line.​

Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

Answer:

Slope = 0.1 or 1/10

Y-int. = 15

Step-by-step explanation:

We have points (0,15), (3,45), (6,75), and (9,105).

slope is rise over run, or rise/run.

So, 9-3/105-45=6/60

now, simplify 6/60.

6/60=1/10 or 0.1

We already have the y-intercept, (0,15), because that's what intercepts the y-axis.

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
What set of reflections and rotations would carry rectangle ABCD Rotate 180°, reflect over the y-axis, reflect over the line y=x
Aleks [24]

Answer:

Ok

Step-by-step explanation:

7 0
3 years ago
In a geometric sequence, a2=2, a3=16, and a4=128.
Oduvanchick [21]

Answer:

an = 1/4(8)^n-1

Step-by-step explanation:

Given the following in a geometric sequence, a2=2, a3=16, and a4=128.

nth term of a sequence = ar^n-1

a is the first term

r is the common ratio

r = a3/a2 = a4/a3

r = 16/2 = 128/16

r = 8

a2 = ar

2 = 8a

a = 2/8

a = 1/4

The nth term by substituting the parameters will be;

an = 1/4(8)^n-1

4 0
3 years ago
What is the measure of angle x?
tiny-mole [99]
The answer would be 42 because its the same angle as the other one
I hope I helped! ♥
5 0
3 years ago
Read 2 more answers
Thuy drives 270 miles in 6 hours. How many miles does Thuy drive in 13 hours ​
yan [13]

Answer:

Hi there!

The answer is;

585 miles per 13 hours

Step-by-step explanation:

270 miles per 6 hours

/6 to determine miles per hour

45 miles per 1 hour

× 13 to determine miles per 13 hours

585 miles per 13 hours

Hope this helps!

4 0
3 years ago
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