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kolbaska11 [484]
3 years ago
6

A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 24 h

ours?
Mathematics
1 answer:
Mama L [17]3 years ago
3 0
<span>8388608000. you will have to keep multiplying 2 24 times.</span>
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(c) The line with equation y = 2x +k is a tangent to curve y = 3x² +4. Find the value of k.​
statuscvo [17]

Answer:

k = 11/3

Step-by-step explanation:

If the line is tangent to the curve, then Δ = 0.

______________

Remembering:

Δ>0 two different points of intersection x' \neqx''

Δ=0 one point of intersection x' = x''

Δ<0 two different points of intersection in the complex plan x' and -x'

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As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:

2x + k = 3x² + 4

0 = 3x² - 2x + (4 - k)

Now we can use the Δ=0 (Δ= b² - 4ac)

Δ = 0 = (-2)² - 4.3.(4-k)

0 = 4 - 48 + 12k

12k = 44

k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3

k = 11/3

6 0
2 years ago
Alberta Doan worked 6 hours at time-and-a-half pay and 3 ¼ hours at double-time pay. Her regular pay rate was $9.72 an hour. Wha
natka813 [3]

Answer:

Alberta's total overtime pay of the week was $ 145.80.

Step-by-step explanation:

Given that Alberta worked 6 hours at time-and-a-half pay, and 3 hours at double-time pay, and that the value of her regular work hour is $ 9.72, to determine the value of the pay of his overtime, the following equation must be performed:

6x1.5x9.72 + 3x2x9.72 = X

9x9.72 + 6x9.72 = X

87.48 + 58.32 = X

145.8 = X

Therefore, Alberta's total overtime pay of the week was $ 145.80.

3 0
3 years ago
The sum of the measures of the two angles of a linear pair must be
Pie

Answer:  180

Angles in a linear pair are always supplementary. This means they form a straight angle or a straight line.

6 0
2 years ago
Estimate the sum of 46 and 32 by rounding to the nearest ten,
Butoxors [25]
The answer is A =80 because when u add 46+32 =78 and 78 round to the nearest ten is 80
6 0
3 years ago
Read 2 more answers
1.4 has 2 significant digits as a result of which one?
dimaraw [331]

Answer:

1 And 3

Step-by-step explanation:

3 0
3 years ago
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