5. Which of the following is an

What is the average speed for the interval t=1 hour to t=3 hours

inysia [295]

Answer:

7.5 miles per hour

Step-by-step explanation:

Average speed over the interval [1, 3] = (distance at 3 hrs -distance at 1 hr)/(3 hrs - 1 hr)

From the graph:

Distance at 3 hrs = 30 => (3, 30)

Distance at 1 hr = 15 => (1, 15)

Average speed = (30 - 15)/(3 - 1)

Average speed = 15/2

= 7.5

Therefore, average speed = 7.5 miles per hour

5 0

3 years ago

Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__

mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

-3 -3 ← subtract 3 on both sides of the equation

3x = -357

÷3 ÷3 ← divide both sides by 3

X = -119

X ⇒ first integer = -119

X + 1 ⇒ second integer = -120

X + 2 ⇒ third integer = -121

Therefore, our three consecutive integers are -119, -120, and -121.

6 0

3 years ago

Read 2 more answers

On the grid, sketch a graph to represent

Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;

$\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}$

The plot of the above point is completed using MS Excel as shown in the attached diagram.

7 0

2 years ago

Rachel loves to bake cookies, but she has an old oven that has trouble maintaining a constant temperature. Assume the acceptable

denis-greek [22]

Answer:

3.00

Step-by-step explanation:

USL = 350+18 = 368

z = (USL-Mean)/6*σ = (368-350)/6*σ

σ = 3/0.9999966 = 3.00 (approx)

7 0

3 years ago

How do you plot 2/3 on a number line

NemiM [27]

Answer:

_|_____________________|_____________________|_

1/3 2/3 3/3

Step-by-step explanation:

draw a line:

____________________________________________

then divide the line by three's:

_|_____________________|_____________________|_

then mark the first part 1/3

the second 2/3 and third 3/3:

_|_____________________|_____________________|_

1/3 2/3 3/3

5 0

3 years ago