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3 years ago

Helppppppppppppppppppppppppppppppppppppp

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer: 527.79 m²

Step-by-step explanation:

formula is A = 2πrh + 2πr²

A = 2π x 4 x 17 + 2π x 4²

A = 527.79 m²

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Help me pls !!<br> (Extra points)<br><br> And I need to explain it.

Arturiano [62]

Answer:

true

Step-by-step explanation:

1. simplfy the expression to 7^2 *8/7^3=8/7.

2. that'll give u 8/7=8/7

5 0

3 years ago

A biologist observed that a certain bacterial colony obeys the population growth law and that the colony triples every 4 hours.

MrRa [10]

Answer:

a) $P(t) = 2e^{0.275t}$

b) 54.225 square centimeters.

c) 2.52 hours

Step-by-step explanation:

The population growth law is:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t hours, $P_{0}$ is the initial population and r is the growth rate, as a decimal.

In this problem, we have that:

The colony occupied 2 square centimeters initially, so $P_{0} = 2$

The colony triples every 4 hours. So

$P(4) = 3P_{0} = 6$

(a) An expression for the size P(t) of the colony at any time t.

We have to find the value of r. We can do this by using the P(4) equation.

$P(t) = P_{0}e^{rt}$

$6 = 2e^{4r}$

$e^{4r} = 3$

Applying ln to both sides, we get:

$4r = 1.1$

$r = 0.275$

$P(t) = 2e^{0.275t}$

(b) The area occupied by the colony after 12 hours.

$P(t) = 2e^{0.275t}$

$P(12) = 2e^{0.275*12}$

$P(12) = 54.225$

(c) The doubling time for the colony?

t when $P(t) = 2P_{0} = 2*2 = 4$ .

$P(t) = 2e^{0.275t}$

$4 = 2e^{0.275t}$

$e^{0.275t} = 2$

Applying ln to both sides

$0.275t = 0.6931$

$t = 2.52$

4 0

3 years ago

If an employee visits a work site every other day and another employee visits the work site every 5 days, when will the two empl

-BARSIC- [3]

That is given by Lowest Common Miltiple of 2 and 5 which is 10

So they will meet on the tenth day . ( every tenth day)

3 0

4 years ago

2x + 3y = 1,470 Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show

Ilya [14]

2x + 3y = 1470 ...subtract 2x from both sides
3y = -2x + 1470 ...divide both sides by 3
y = -2/3x + 490

In y = mx + b form (slope intercept form), the slope will be in the m position and the y int will be in the b position

y = -2/3x + 490
y = mx + b

as u can see, the number in the m position (the slope) = -2/3
and the number in the b position (the y int) = 490 or (0,490)

7 0

4 years ago

Read 2 more answers

Find the missing measurements of the right triangle.

svlad2 [7]

Step-by-step explanation:

as always, the sum of all angles in a triangle is always 180°.

therefore, the angle at B is

B = 180 - 27 - 90 = 63°.

for the missing sides we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the related angles.

so,

AB/sin(90) = 12/sin(27)

since sin(90) = 1, we have

AB = 12/sin(27) = 26.43227118... ≈ 26.4

AC/sin(63) = 12/sin(27)

AC = 12×sin(63)/sin(27) = 23.55132607... ≈ 23.6

3 0

3 years ago