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3 years ago

Please help me! Freshman math---40 points

Mathematics

1 answer:

mars1129 [50]3 years ago

7 0

Answer:

Correct answer: y- intercept is 200 for time x = 0 sec

y = 200 · (3/2)ˣ

The population after x = 10 minutes is: y = 11,533

Step-by-step explanation:

We see from the diagram that the initial bacterial count is 200 which is y-intercept

The formula for an exponential function is:

y = 200· aˣ

to find the basis a we read the second point (1, 300)

300 = 200 · a¹ => a = 300/200 = 3/2

the exact formula is

y = 200 · (3/2)ˣ

we verify the accuracy of the formula using the third point (2, 450)

450 = 200 · (3/2)² => 450 = 200 · 9/4 => 450 = 50 · 9 => 450 = 450

The population after x = 10 minutes is:

y = 200 · (3/2)¹⁰ = 200 · 57.665 = 11,533

y = 11,533

God is with you!!!

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3 years ago

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Answer:

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If the lines are parallel with angle a measuring 5x + 8 and angle b measuring 8x - 7, the measure of angle a would be ___ degree

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The value of angle a will be 33°.

It should be noted that when we've parallel lines, then the angles will be equal. In this case, the value of angle a will be equal to that of angle b and this will be:

5x + 8 = 8x - 7.

Collect like terms .

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