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RoseWind [281]
3 years ago
8

The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the

labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?
A.) 21ft
B.) 27ft
C.) 30ft
D.) 57ft

Mathematics
2 answers:
iragen [17]3 years ago
8 0

Answer:

B.) 27ft

Step-by-step explanation:

The labeled points given: (5,18) and (1.5, 7.5)

Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3

A linear model:

y - 18 = 3(x - 5)

y - 18 = 3x - 15

y = 3x + 3

If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)

y = 3(8) + 3

y = 24 + 3

y = 27 ft

Answer:

B.) 27ft

kenny6666 [7]3 years ago
5 0

Answer:

B)27 ft

Step-by-step explanation:

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gayaneshka [121]

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is \frac{4}{3}\pi r^{3}.

To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>

Plug in your numbers to the volume equation to get \frac{4}{3} (3.14)(4^3). The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is \frac{4}{3}(3.14)(64).

Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now \frac{4}{3}(200.96) or \frac{4}{3} * \frac{200.96}{1}.

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Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

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3 years ago
N - 8 &gt; 5 <br><br> A. n &gt; 13 <br> B. n &gt; 3 <br> C. n &gt; - 3 <br> D. n &gt; -13
statuscvo [17]

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3 years ago
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Can someone help me out with this.
pickupchik [31]

The side MK measures 3.3 feet.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 25°, the adjacent side has a length of x feet while the hypotenuse of the triangle measures 3.6 feet. The opposite side of the triangle is not given.

To determine the value of x, we determine the value of the cos of the given triangle.

To calculate the cos of an angle we divide the adjacent side by the hypotenuse of the same triangle.

cos \theta = \frac{adjacentside}{hypotenuse} .

Step 2:

The length of the adjacent side = x feet.

The length of the hypotenuse = 3.6 feet.

cos \theta = \frac{adjacentside}{hypotenuse}, cos 25 = \frac{x}{3.6} , cos 25 = 0.9063.

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3 years ago
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Answer:

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Step-by-step explanation:

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y = -1/2x +2

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