Sam is rowing a boat away from a dock. The graph shows the relationshipbetween time and Sam's distance from the dock. Evaluate the function for an
input of 6.
Distance from Dock
110
100
90
80
70
60
Distance (meters)
50
40
30
20
10
0
1 2 3 4 5 6 7 8 9 10 11
Times (minutes)
O A. After 60 minutes, Sam is 6 meters from the dock.
O B. After 6 minutes, Sam is 6 meters from the dock.
C. After 60 minutes, Sam is 60 meters from the dock.

Answers

Answer 1

Answer:

After 6 minutes, Sam is 60 meters from the dock

Correct option is D.

What is straight line?

A straight line is an infinitely long line with no curves. A straight line can also be formed between two points, but the ends will be infinite. A straight line is a figure formed by connecting two points A (x1, y1) and B (x2, y2) with the shortest distance and extending both ends to infinity.

General formula for a straight line:

The general equation for straight lines is given as ax + by + c = 0.

a, b, c are constants and

x,y are variables.

Slope is -a/b

Given,

Graph of Distance to time is represented by an straight line

By the graph,

Line crosses from (0,20) and (3,40)

Equation of the line

y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x-x₁)

y - 20 = ((40 - 20)/(3 - 0))(x-0)

y - 20 = (20/3)(x)

y - 20 = 20x/3

y = 20x/3 + 20

Input x = 6

y = 20(6)/3 + 20

y = 120/3 + 20

y = 40 + 20

y = 60

When time = 6 minutes, distance between Sam and the dock is 60 meters.

Hence, Sam is 60 meters away from the dock after 6 minutes

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Answer 2

Answer:

After 60 minutes, Sam is 6 meters from the dock

Step-by-step explanation:

I looked at the number line and met up where 60 minutes was.

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What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?mm2

Answers

158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=2(wl+hl+hw) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)

Which graph represents the following piecewise defined function?

Answers

The graph that represents the following piecewise defined function is of f(x) = x; x <-2 , -2; -2 < or = to x < or = to 1, x-3; x> or = to 1 is the first graph (Image attached)

What is a piecewise function?

A piecewise function is known to be a function that has been formed from pieces of a lot of functions over a lot of intervals.

An example, we can say a piecewise function f(x) where f(x) = -7 when -7 < x ≤ -4, f(x) = 4 when -4 < x ≤ -1, and f(x) = -5 when -1 <x ≤ 7.

The option that best explain the piecewise defined function is the image attached.

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Answer:

A on Edge

Step-by-step explanation:

Just took the test and got a 100

At one factory the ratio of defective light bulbs produced to total light bulbs produced is about 3:500. How many light bulbs are expected to be defective when 12,000 are produced

Answers

72 light bulbs are expected to be defective

Please helpThese are Honors Geometry problems that I don't understand. Please explain how you got your answers and show you work so I can understand what to do

Please don't erase any answers. I really need help

Answers

First we know that a circle is 360 degrees. From the center of the pentagon if you draw a segment to each point M N P Q R, you create 5 triangles from the center. So 360/5 = 72 degrees. Each 'turn' from letter to letter is a 72degree rotation about the center O.
Moving N 72 degrees maps it onto M. Moving N 144 degrees maps it onto P. Mapping P to Q would be a 72 degree rotation since they are one rotation away from each other. I hope you understand.

4x5+6divided by 3 using bidmas

Answers

Answer:

8.6666666

8.7

Step-by-step explanation:

To solve 4x5+6 divided by 3 using BIDMAS, multiply 4 by 5 to get 20, then add 6 to get 26. Finally, divide the sum by 3 to get 8.67.

To solve 4x5+6 divided by 3 using the order of operations known as BIDMAS, we start by performing the multiplication: 4x5=20. Then, we add the result to 6: 20+6=26. Finally, we divide the sum by 3: 26/3= 8.6667 (rounded to 4 decimal places) or 8.67 (rounded to 2 decimal places).

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Feet12. Darcy and Danny were diving on a trip in
the Bahamas. When they stopped to look at a
school of fish, Darcy was 178 feet below the
surface of the water, and Danny was
2
feet
below the surface. Who was closest to the
is
Ire
surface of the water

Answers

Danny was closest to the surface of the water.

Here,

Darcy and Danny were diving on a trip in the Bahamas.

When they stopped to look at a school of fish, Darcy was $√(78)$ feet below the surface of the water and Danny was 17/2 feet below the surface.