Select the correct answer A scientist is studying the population growth rates of two different types of bacteria under the same laboratory conditions. The number of
bacterial cells of type A is represented by the equation shown, where Prepresents the number of bacterial cells at the end of x hours.
P = 2+ + 19
The number of bacterial cells of type B is represented by the equation shown, where Qrepresents the number of bacterial cells at the end of
x hours.
Q = 3+ + 20
Which statement is true?
Ο Α. At the end of 3 hours, there will be the same number of bacterial cells of type A and type B.
OB. At the end of 21 hours, there will be the same number of bacterial cells of type A and type B.
OC At the end of 18 hours, there will be the same number of bacterial cells of type A and type 3.
OD. At the end of 1 hour, there will be the same number of bacterial cells of type A and type B.
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24+x=y

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.