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3 years ago

What number is being factored in this factor tree? A.72 B.180 C.216 D.324

Mathematics

1 answer:

Tatiana [17]3 years ago

7 0

Answer:

not sure if it's ryt but I think it's A

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Use the graph to find the slope of the line. Tell what the slope means in this context.

lys-0071 [83]

The slope means the depth per second

6 0

3 years ago

The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

4 years ago

Use the slope formula to find the slope of the line passing through the given points.

irina1246 [14]

The slope is undefined because it is a vertical line on the x axis at 0. Its a straight line going up

3 0

3 years ago

What is the area of the shaded region? (Approximate π to be 3.14)

kifflom [539]

Answer:

about 113.04 square inches

Step-by-step explanation:

No angles are indicated, so we must assume the sector is 1/4 of the circle. Then its area is 1/4 of that of a circle with radius 12 in:

Circle area = πr²

Sector area = (1/4)π(12 in)² = 36π in²

Sector area ≈ 36(3.14) in² = 113.04 in²

7 0

3 years ago

Find each percent 40 to 25

givi [52]

$40% 0f 20 is 8
40% × 20 = (40/100) × 20 = 8

8 0

3 years ago