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2 years ago

I do not understand this

Mathematics

1 answer:

iragen [17]2 years ago

4 0

Answer:

D. 2 (1/3) hours

Step-by-step explanation:

'Of' means multiplication, so we are going to multiply

3 (1/2) x (2/3) = 2 (1/3)

3.5 x 0.66 = 2.333

I hope this helps!

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Pls help with the question below

harina [27]

The answer is m = 7/5 (decimal form is 1.4)

6 0

2 years ago

If N is the population of the colony and t is the time in days, express N as a function of t. Consider Upper N 0 is the origina

lesya [120]

Answer:

(a) $N(t)=Noe^{kt}$

(b)5,832 Mosquitoes

Step-by-step explanation:

(a)Given an original amount $N_o$ at t=0. The population of the colony with a growth rate $k \neq 0$ , where k is a constant is given as:

$N(t)=Noe^{kt}$

(b)If $N_o=1000$ and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

$1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)$

Therefore, our model is:

$N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t$

In 3 days time

$N(3)=1000\cdot1.8^3=5832$

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

$N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days$

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0

3 years ago

Read 2 more answers

Marcelo want to buy a used car that is $14,500. He can afford a down payment of 5% of the price of the car. How much will Marcel

AnnyKZ [126]

Answer:

the answer is 725 i pretty sure

Step-by-step explanation:

4 0

3 years ago

A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest

Trava [24]

In order to find the volume you need the height.

Surface area = π r² + base x height or width x length
1850 = 3.14 × 9² + radius × 2 x π x height
1850 = 254.34 + 9 × 2 × 3.14 × height
1850 = 310.86 × height

To find the height you have to divide the surface area by the part I bolded

Height = 1850 ÷ 310.56
Height ≈ 6

Volume of a cylinder = πr²×height
= 3.14 × 9 × 9 × 6
Volume =1526.04

Nearest whole number would be 1526

4 0

3 years ago

The length of the base and the height of a triangle are numerically equal. Their sum is 6 less than the number of units in the a

Troyanec [42]

Base = Height, Let them be x.

$( x \times x) \div 2 = (x + x) + 6 \\ x ^{2} \div 2 = 2x + 6 \\ \frac{1}{2} x^{2} - 2x - 6 = 0$
Solve quadratic equation:
x=6, x=-2(rejected because base and height is positive)

6x6/2 =18

6 0

3 years ago