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3 years ago

11

The high temperatures for each day last week increased by one degree each day: 65°, 66°, 67°, 68°, 69°, 70°, 71°. What was the m

ean temperature for the week?

1 answer:

lesya692 [45]3 years ago

8 0

65+66+67+68+69+70+71=476

476÷7=68

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The growth model for a population of bacteria is given as P(t) = 35e2t where t is measured in days. How many days will it take u

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Answer:

Step-by-step explanation:

Given that the growth model for a population of bacteria is given as where t

$P(t) = 35e^{2t}$

is measured in days.

We have to find the number of days it would take to reach a number >17500

i.e. when P exceed 17500

$35e^{2t}>17500\\log 35+2t>log 17500\\2t >6.2146\\t>3.1073$

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3 years ago

Find the equivalent equation that does not contain fractions 2/3 x 7=1/2

mariarad [96]

Answer:

$4x + 42 = 3$

Step-by-step explanation:

Given:

$\frac{2}{3}x + 7 = \frac{1}{2}$

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

$2 = 2,4,6,8,10,..$

$3 = 3,6,9,12..$

So, 6 is the least common multiple.

Multiply both sides by 6

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2 years ago

Find a formula for the described function. An open rectangular box with volume 3 m3 has a square base. Express the surface area

Alex73 [517]

Answer:

$SA(x) = x^2 + \frac{12}{x}$

Step-by-step explanation:

Given

$V = 3m^3$ --- volume

$x \to base\ length$

$y \to height$

Required

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The volume (V) is calculated as:

$V = Base\ Area * Height$

$V = x*x*y$

$V = x^2*y$

Make y the subject

$y = \frac{V}{x^2}$

Substitute 3 for V

$y = \frac{3}{x^2}$

The surface area of the open box is:

$SA = x^2 + 2xy+2xy$

$SA = x^2 + 4xy$

Substitute: $y = \frac{3}{x^2}$

$SA = x^2 + 4x*\frac{3}{x^2}$

$SA = x^2 + 4*\frac{3}{x}$

$SA = x^2 + \frac{12}{x}$

Hence, the function is:

$SA(x) = x^2 + \frac{12}{x}$

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