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arsen [322]
3 years ago
15

jim had 20 to spend at the video rental he has a late fee of 4.00 and it will cost him 2.99 to rent each movie not including tax

, which inequality can jim write to solve for the most number of movies, m, he can rent
Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

2.99m-4 (less than or equal to symbol after) 20

Step-by-step explanation:

This would come out too 5 movies because 20-4= 16 16-2.99=5.3 but it is impossible to buy 5.3 movies so you would round it down to 5

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10% of $25 is $2.5 (:
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3 years ago
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A group of rowdy teenagers near a wind turbine decide to place a pair of pink shorts on the tip of one blade, they notice the sh
Paladinen [302]

The equation of the sinusoidal function is 7 × sin((π/15)·(x - 2.5)) + 9

<em>Question:</em><em> The likely missing parameters in the question are;</em>

<em>The time at which the shorts are at the maximum height, t₁ = 10 seconds</em>

<em>The time at which the shorts are at the minimum height, t₂ = 25 seconds</em>

  • The general form of a sinusoidal function is A·sin(B(x - h)) + k

Where;

A = The amplitude

The period, T = 2·π/B

The horizontal shift = h

The vertical shift = k

The parent equation of the sine function = sin(x)

We find the values of the variables, <em>A</em>, <em>B</em>, <em>h</em>, and <em>k</em> as follows;

The given parameters of the sinusoidal function are;

The maximum height = 16 meters at time t₁ = 10 seconds

The minimum height = 2 meters at time t₂ = 25 seconds

The time it takes the shorts to complete a cycle, (maximum height to maximum height), the period, T = 2 × (t₂ - t₁)

∴ T = 2 × (25 - 10) = 30

The amplitude, A = (Maximum height- Minimum height)/2

∴ A = (16 m - 2 m)/2 = 7 m

The amplitude of the motion, A = 7 meters

T = 2·π/B

∴ B = 2·π/T

T = 30 seconds

∴ B = 2·π/30 = π/15

B = π/15

At t = 10, y = Maximum

Therefore;

sin(B(x - h)) = Maximum, which gives; (B(x - h)) = π/2

Plugging in B = π/15, and t = 10, gives;

((π/15)·(10 - h)) = π/2

10 - h = (π/2) × (15/π) = 7.5

h = 10 - 7.5 = 2.5

h = 2.5

The minimum value of a sinusoidal function, having a centerline of which is on the x-axis, and which has an amplitude, <em>A</em>, is <em>-A</em>

Therefore, the minimum value of the motion of the turbine blades before, the vertical shift = -A = -7

The given minimum value = 2

The vertical shift, k = 2 - (-7) = 9

Therefore, k = 9

Therefore;

The equation of the sinusoidal function is 7 × sin((π/15)·(x - 2.5)) + 9

More can be learned about sinusoidal functions on Brainly here;

brainly.com/question/14850029

6 0
3 years ago
In triangle CDE, CD= 12 , DE=5, and m<br> What is m
steposvetlana [31]
If you could show a photo I could answer the question
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3 years ago
Need help. Can you help me answer this problem?
S_A_V [24]

Answer:

Step-by-step explanation:

First what shape is it

Second what do all the sides equal

Third in your answer always put yards

Fourth where are the right angles

Fifth add the sides that have no number everybody knows if it is parallel it have the same length or width.

See if my information works!

8 0
4 years ago
Solve this and I’ll give u 5 stars and brainleist
Darina [25.2K]

Answer:

  • notice: temperature rises quickly at sunrise, and drops before sunset
  • wonder: whether this location is shaded by mountains later in the day

Step-by-step explanation:

<u>notice</u>

The temperature starts off below zero in the early morning and stays cold until the sun comes up. Then it warms rapidly to an above zero temperature that peaks in early afternoon. Once the sun gets lower, the temperature starts cooling off again. (The daily temperature range of 25-27 degrees is pretty typical for partly-cloudy sky conditions and stable weather.)

<u>wonder</u>

We wonder if this isn't a location that is on the east- or north-side of a mountain, or in a mountain valley, where the sun hits it early and is shaded later in the day. (The topo map attached seems to show it is in such a location.)

8 0
3 years ago
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