59.9338a+58.9332(0.031720577-a)=1.8712 solve for a

A ball is thrown up into the air from a building modeled by the equation:

Arlecino [84]

Answer:

After two seconds

h(2) = -16(2^2) + 115(2) + 19

h(2) = -64 + 115(2) +19

h(2) = 185

Let me know if this helps!

3 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

(c)5 days

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

2 years ago

Read 2 more answers

What's .60as a fraction in simpolest form

Andreyy89

3/5
.60 is equal to 6/10
you can simplify that to 3/5

4 0

3 years ago

At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also

oksano4ka [1.4K]

Answer: Yes, Number of students who study French is greater than number of students who study Japanese.

Step-by-step explanation:

Since we have given that

Number of high school students study Japanese ≥ 100

Percent of high school students who study French also study Japanese = 4%

If the Percent of the students who Japanese also study French = 10%

So, our equation becomes

$0.04\times F=0.10\times J\\\\\dfrac{F}{J}=\dfrac{0.10}{0.04}=\dfrac{10}{4}$

With the help of ratio, we get that

Number of students who study French is greater than number of students who study Japanese.

Hence, Yes, Number of students who study French is greater than number of students who study Japanese.

7 0

3 years ago

The area of a triangle is 7 square feet. The base is 3.5 feet. What is the measurement of the height of the triangle?

Sedaia [141]

Answer:

4

Step-by-step explanation:

7 * 2 = 14

14 / 3.5= 4

Formula of a triangle: $\frac{1}{2} bh$

3 0

3 years ago

Read 2 more answers