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4 days ago

The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expressi

on represents the selling price for b birdbaths. Choose YES or NO.
12b + 1.55(12b) YES_____NO_____
12(0.45b) YES_____NO_____
12b(1.55) YES_____NO_____
12(0.55b) YES_____NO_____
12b(1 + 0.55) YES_____NO_____

Mathematics

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A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has

zzz [12365]

Answer:

$0.01m +\frac{1}{2} \geq 2.2$

Step-by-step explanation:

Let m denote the number of minutes required to download the entire game.

The computer downloads at a speed of 0.01 GB per minute, and since half a gigabyte has already been downloaded, we can express this as 0.01*m + 0.5 equaling 2.2, as the game's total size is 2.2 GB.

We will determine the minimum number of minutes necessary to completely download the game.

$0.01m +\frac{1}{2} \geq 2.2$

$0.01m +0.5\geq 2.2$

$0.01m \geq 2.2-0.5$

$0.01m \geq 1.7$

$m\geq \frac{1.5}{0.01}$

Thus, $0.01m +\frac{1}{2} \geq 2.2$ represents our sought inequality.

6 0

2 months ago

Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found that solution.

tester [12383]

I have included a screenshot of the entire question along with its accompanying diagram.

Answer:
∠1 = 163°

Explanation:
1- finding angle 2:
Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°

2- finding angle 1:
Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°

I hope this clarifies things!:)

3 0

3 months ago

Read 2 more answers

Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet.

Svet_ta [12734]

Response:

Step-by-step breakdown:

When you sketch that diagram (great description, by the way!), what you essentially have is a right triangle with a base of 32 and a hypotenuse of 45. The right angle resides at one of the base's ends, and x represents the vertex angle. We must find this vertex angle first to determine the angle of depression from the second bird to the watcher. The side measuring 32 is opposite to angle x, with 45 being the hypotenuse; hence, the trigonometric relation we need is sine:

$sin(x)=\frac{32}{45}$ and

sin(x) =.711111111

Go to your calculator, press the 2nd key followed by the sin key, and your display will show:

$sin^{-1}($

then, enter in your decimal.711111111 and hit equals. You should arrive at an angle of 45.325. That angle is x. However, that's not the angle of depression. The angle of depression is the complementary angle to x.

Angle of depression = 90 - angle x and

Angle of depression = 90 - 45.325, resulting in

Angle of depression = 44.67 or 44.7 degrees.

8 0

1 month ago

Consider the following differential equation. (A computer algebra system is recommended.) (1 + t2)y' + 4ty = (1 + t2)−2 (a) Draw

PIT_PIT [12445]

Answer:

Step-by-step explanation:

a. Create a direction field for the specified differential equation

b. By observing the direction field, comment on the behavior of the solutions as t becomes large.

The solutions seem to oscillate

All solutions appear to approach the function y0(t)=4

All solutions seem to converge to the function y0(t)=0

All solutions appear to have negative slopes eventually and thus decrease indefinitely

All solutions seem to have positive slopes eventually and therefore increase without limit

As t approaches infinity

All solutions seem to exhibit positive slopes eventually and thus decrease indefinitely

The solutions seem to gradually approach the function y0(t)=0

All solutions appear to eventually have negative slopes leading to decrease without bounds

All solutions seem to converge to the function y0(t)=4

The results are oscillatory

3 0

2 months ago