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3 years ago

Marcie solved the following inequality, and her work is shown below:

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

6 0

When dividing an inequality with a negative value , the inequality sign changes direction.

The original Less than or equal to sign should heave been changed to greater than or equal to.

The answer is: When dividing by −8, she did not change the direction of the sign.

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The initial population of a town is 1,300 and it is increasing at the rate of 3% each year. Find the population at 12 years

stepan [7]

Answer:

1300 * (1 + 0.03)^12 = 1853

7 0

3 years ago

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Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)

Vilka [71]

For a cartesian equation
$x=r\cos\theta \ and \ y=r\sin\theta \\ \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\ \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\ \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}$

Given r = <span>10 tan(θ) sec(θ)
$r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\ \\ \Rightarrow10y=x^2 \\ \\ \Rightarrow y= \frac{1}{10} x^2$

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).

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3 years ago

A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t

velikii [3]

Answer:

Step-by-step explanation:

To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.

Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

5 0

3 years ago

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Pls help meeee!!! I have benchmarks monday

quester [9]

Answer:

therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year over the course of t years.

Step-by-step explanation:

i) the cost of an automobile is given by the equation is

C(t) = $28000\times(0.73)^{t}$ , where C(t) represents the cost and t represents the time in years

ii) the above equation is an exponential decay equation. It is a decay equation because growth rate is 0.73 which is less than 1 and greater than zero.

ii) when t = 0 then the cost is C(0) = 28000 represents the initial cost.

iii) from the equation in i) we can understand that the cost depreciates 27% per year over the course of t years.

therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year over the course of t years.

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3 years ago

Ana drinks chocolate milk out of glasses that each hold 1/8 of a liter

maxonik [38]

Answer:

5 3/5

Step-by-step explanation:

Convert 1/8 to 10/80 and 7/10 to 56/80 56/10= 5 3/5

7 0

3 years ago