Juniper drives at a constant speed on the highway towards Exit 34. The graph below shows the distance, in miles, that Juniper is from Exit 34 over time.
——————————

The slope of the graph is
60.

The y-intercept gives the initial distance, in miles, from Exit 34.

The y-intercept of the graph is
3.5.

The slope gives the rate, in miles per hour, at which the distance to Exit 34 changes over time.

Juniper Drives At A Constant Speed On The Highway Towards Exit 34. The Graph Below Shows The Distance,

Answers

Answer 1

Answer:

Options (2) and (4)

Step-by-step explanation:

Option (1)

The slope of the graph is 60.

From the graph attached,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

         = [tex]\frac{-210}{3.5}[/tex]

         = - 60

False.

Option (2)

y-intercept gives the initial distance, in miles from Exit 34.

True.

Option (3)

y-intercept of the graph is 3.5

Since, y-intercept of the graph is 210.

Therefore, Option (3) is False.

Option (4)

Slope gives the rate, in miles per hour, at which the distance to Exit 34 changes over time.

True.


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Answer:7

Step-by-step explanation:

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What is the sign of +
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B
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I would help you but that's cheating cause your doing a test.

Step-by-step explanation:

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the domain of a sine function is from negative to positive infinity. The domain is written as (-∞,∞) in interval notion. It it the same thing as the domain is all real numbers.

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Answer:

the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 .

Step-by-step explanation:

As shown in the illustration, a starfish has the shape of a pentagon. Look at the illustration of the fruit. How many sides does this polygon have?

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Answer:

Step-by-step explanation:

2

The sides this polygon have is 5 sides.

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A polygon is a closed figure made up of three or more line segments connected end to end.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

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Answers

Answer:

2

Step-by-step explanation:

0.5 is the same thing as 1/2 and half of 4 is 2

0.5 * 4 = 2.

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Answers

Answer:

Yea it does

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Here,

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Answer:

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Step-by-step explanation:

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Answer:

Hi, I'm new can I get marked as Brainliest It would be highly appreciated.

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Answers

Answer:

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Step-by-step explanation:

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Answer: 22 x 10 = 220

hjhggggggggggggggggggggg

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Answer:

fndskfnzxc.,vnf

Step-by-step explanation:

fnznmsdv,ns.d,

Can you help me please?

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53/54 = 106/108

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You can find the answer because 53/54 * 2/2 = 106/108

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No it cant

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Answer: Valentina measured incorrectly.

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A plane traveled 4575 miles with the wind in 7.5 hours and 4275 miles against the wind in the same amount of time. Find the speed of the plane in still air and the
speed of the wind.
The speed of the plane in still air is mph. (Simplify your answer.)
The speed of the wind is mph. (Simplify your answer.)

Answers

Answer:

The speed of the plane in still air is 590 mph

The speed of the wind is 20 mph

Step-by-step explanation:

Let's call:

x = Speed of the plane in still air

y = Speed of the wind

The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:

[tex]\displaystyle x+y=\frac{4575}{7.5}=610[/tex]

x + y = 610        [1]

The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:

[tex]\displaystyle x-y=\frac{4275}{7.5}=570[/tex]

x - y = 570        [2]

Adding [1] and [2]:

2x = 610 + 570 = 1180

x = 1180 / 2 = 590

From [1]:

y = 610 - 590 = 20

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Answers

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Find an exact value.
Cos(-7pi/12)
A. Sqrt 6 + sqrt 2
B. Sqrt 6 - sqrt 2 / 4
C. Sqrt 2 - sqrt 6
Sqrt 2 - sqrt 6 / 4

Answers

Answer:

[tex]\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}[/tex].

Step-by-step explanation:

Convert the angle [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)[/tex] to degrees:

[tex]\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ[/tex].

Note, that [tex]\left(-105^\circ\right)[/tex] is the sum of two common angles: [tex]\left(-45^\circ\right)[/tex] and [tex]\left(-60^\circ\right)[/tex].

[tex]\displaystyle \cos\left(-45^\circ\right) = \cos\left(45^\circ\right) = \frac{\sqrt{2}}{2}[/tex].[tex]\displaystyle \cos\left(-60^\circ\right) = \cos\left(60^\circ\right) = \frac{1}{2}[/tex].[tex]\displaystyle \sin\left(-45^\circ\right) = -\sin\left(45^\circ\right) = -\frac{\sqrt{2}}{2}[/tex].[tex]\displaystyle \sin\left(-60^\circ\right) = -\sin\left(60^\circ\right) = -\frac{\sqrt{3}}{2}[/tex].

By the sum-angle identity of cosine:

[tex]\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B)[/tex].

Apply the sum formula for cosine to find the exact value of [tex]\cos\left(-105^\circ \right)[/tex].

[tex]\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}[/tex].

[tex]\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ[/tex]. In other words, [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)[/tex] and [tex]\left(-105^\circ\right)[/tex] correspond to the same angle. Therefore, the cosine of [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)\![/tex] would be equal to the cosine of [tex]\left(-105^\circ\right)\![/tex].

[tex]\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}[/tex].

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