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3 years ago

Help me with this please?

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

It would be 40% is an apple at first, the peach would be 66%.

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A simple off bacteria is debating according to the half life model. If the simple begins with 800 bacteria, and after 18 minutes

Reika [66]

Answer:

After 43 minutes, the bacteria will be 40 remainings.

Step-by-step explanation:

Given that:

Initial population of bacteria $A_o$ = 800

After time (t) = 18 mins

A = 240

Using the model:

$A = A_o e^{k*t}$

$240=800 e^{k*18}$

$\dfrac{240}{800}= e^{18k}$

$0.3= e^{18k}$

By applying natural log on both sides, we get:

In(0,3) = 18k (In e)

- 1.20397 = 18 k * (1)

18 k = -1.20397

k = -1.20397/ 18

k = - 0.06688

k ≅ -0.07

After time (t), the bacteria population (A) = 40

Now;

$40 = 800 e^{k*t}$

$\dfrac{40 }{800}= e^{-0.07*t}$

$0.05= e^{-0.07*t}$

In (0.05) = -0.07t * In (e)

- 2.9957 = - 0.07t

t = - 2.9957/ -0.07

t = 42.795

t ≅ 43 minutes

Thus, after 43 minutes, the bacteria will be 40 remainings.

4 0

3 years ago

Please simplify will give brainliyest

dimulka [17.4K]

$\displaystyle\bf\\-\sqrt{m^4n^7}=\\\\=-\sqrt{m^{2\times2}\times n^{3\times2+1}}=\\\\=-\sqrt{m^{2\times2}\times n^{3\times2}\times n}}=\\\\=-\sqrt{\Big(m^2\Big)^2\times \Big(n^3\Big)^2\times n}}=\\\\=-\sqrt{\Big(m^2\times n^3\Big)^2\times n}}=\\\\=\boxed{\bf-m^2n^3\sqrt{n}}$

4 0

3 years ago

A company donated a box of yellow, purple, and green water bottles for a school field day. The box contained 750 yellow water bo

Rainbow [258]

Answer:

2500

Step-by-step explanation:

To solve this problem you multiply 750 by 100 and then divide the total by 30

8 0

3 years ago

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

3 years ago

Susan designed a circular pool with a diameter of 25 meters. What is the area of the bottom of the pool? Round to the nearest te

ludmilkaskok [199]

Given:
circular pool with a diameter of 25 meters.

find: area of the bottom of the pool.

It is safe to assume that the diameter of the pool is the same from the top of the pool to the bottom of the pool.

Area of a circle = π r²
where:
π = 3.14
r = diameter / 2 = 25 meters / 2= 12.5 meters

Area of a circle = 3.14 * (12.5m)²
= 3.14 * 156.25 m²
Area of a circle = 490.625 m²

490.625 m² round to the nearest tenth is 490.60 m²

We round down because the number after 6 is 2. Whenever a number to be rounded off is followed by 0,1,2,3,and 4. Then, the number is rounded down.

6 0

3 years ago