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3 years ago

HELP !! Super confused

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

Answer:

ik the answer to the question

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Miguel's scooter can travel at a maximum speed of 45 miles per hour. Which inequality models all the speeds, at which Miguel's s

Iteru [2.4K]

Answer:

I can't put the symbol in but less then or equal to 45mph

Step-by-step explanation:

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3 years ago

4. Simplify the expression.<br> -3 (b-7)

Arturiano [62]

Answer:

The answer is -3b+21

5 0

3 years ago

31<9 and --3X = 4X = 15X = 12X = 11x = 18

JulsSmile [24]

Given:

$\frac{3x}{4}$

Find: values belong to the solution

Explanation:

$\begin{gathered} \frac{3x}{4}$

and

$\begin{gathered} -\frac{x}{6}\ge-3 \\ -x\ge-18 \\ x\leq18 \end{gathered}$

so those values are solution which is x<12

i.e; x=4 and x=11

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1 year 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

Find the distance between the two points (5,-8) and (53,-28) explain the answer please

Salsk061 [2.6K]

The distance between two points is found using something called the distance formula. The distance formula goes like this:

$\sqrt{(x_{2}-x_{1})^{2} + (y_{2} - x_{1})^{2}}$

(x₂ - x₁) and the y equivalent is the same as the change between the x or y values between each coordinate. Using this formula, the distance between (5,-8) and (53,-28) is ~43.635

8 0

3 years ago