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3 years ago

15

Jason is planning to go to a concert. He has $25.00. A ticket costs $11.75. Which inequality represents the amount of money Jaso

n can spend on reffreshments?

1 answer:

Llana [10]3 years ago

7 0

Answer:

13.25

Step-by-step explanation:

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two sides of an obtuse triangle measure 12 inches and 14 inches.the longest side measures 14 inches.what is the greatest possibl

Sidana [21]

The length of a side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

12 in. + 14 in. = 26 in.

14 in. - 12 in. = 2 in.

The third side must measure more than 2 inches and less than 26 inches, but we are told that the 14-inch side is the longest side of the triangle, so the third side must measure less than 14 inches. The largest whole-number length less than 14 inches is 13 inches.

Answer: It measures 13 inches.

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3 years ago

Samantha has some beads.

ludmilkaskok [199]

Answer:

a

Step-by-step explanation:

lets represent the black beads as the letter b and the Gray beads as g

the overall formula would be: g+2

so the answer would be a because 6 to get to 8 is 2 which is part of the formula written above ^

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3 years ago

Find x.<br> X=<br> 400<br> 8<br> Round to two decimals at each step of the problem.

svlad2 [7]

Answer:

6.71

Step-by-step explanation:

→ Find a triangle to use

Tan = Opposite ÷ Adjacent

→ Rearrange to make opposite the subject

Opposite = Tan × Adjacent

→ Substitute in the values

Opposite = Tan (40) × 8

→ Simplify

Opposite = 6.71

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3 years ago

During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

$\frac{dP}{P} = r dt$

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

So

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

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2 years ago

The circle below is centered at the point (-1, 2) and has a radius of length 3.

elena-s [515]

A x.+ 2 it’s a I got it right on my quiz

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