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Garland started the week with an odometer reading of 58,240 miles and a full tank. He ended the week with an odometer reading of 58,615, and he re-filled the tank with 15 gallons of gas. How many miles per gallon did he get to the nearest whole number? (Points : 2) 25 24 23 22
What is one difference between the binomial distribution and Poisson distribution in terms of their upper bounds?
Chuck must save a total of 180 for a new bike. So far he has saved 4/5 of the amount. How much money has chuck saved for the bike

PLEASE PLS PLS PLS PLS PLS PLS PLS HURRY

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Answer:

B

Step-by-step explanation:

12/.5

What is the point-slope form of a line that has a slope of 3 and passes through the point (–1, 4)?

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The answer is y + 4 = 3(x - 1)

A scooter travels 30 feet in 2 seconds at a constant speed. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds. What is the speed of the scooter in feet per second? [ Select ] What is the distance the scooter travels after 3 seconds? [ Select ] A skateboard travels 55 feet in 4 seconds. Is the skateboard going faster, slower, or the same speed as the scooter? [ Select ]

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Answer:

1) 15 feet per second

2) distance after 3 seconds 45 feet

3) slower

Step-by-step explanation:

1) 30/2 = 15

2) 15 x 3

3) 55/4 = 13.75 < 15

Final answer:

The scooter travels 15 feet after 1 second, 45 feet after 3 seconds, 60 feet after 4 seconds, and 75 feet after 5 seconds. The speed of the scooter is 15 feet per second. The skateboard is going slower than the scooter.

Explanation:

To complete the double number line, we need to determine the distance the scooter travels after 1, 3, 4, and 5 seconds. Since the scooter travels 30 feet in 2 seconds at a constant speed, we can determine the distance for each time by finding the proportion:

After 1 second: 30 feet / 2 seconds = 15 feet

After 3 seconds: 30 feet / 2 seconds * 3 seconds = 45 feet

After 4 seconds: 30 feet / 2 seconds * 4 seconds = 60 feet

After 5 seconds: 30 feet / 2 seconds * 5 seconds = 75 feet

The speed of the scooter is the same as its constant speed, which is 30 feet / 2 seconds = 15 feet per second.

The distance the scooter travels after 3 seconds is 45 feet.

Since the scooter traveled 30 feet in 2 seconds, and the skateboard traveled 55 feet in 4 seconds, we can compare their speeds. The scooter traveled 30 feet in 2 seconds, which means its speed is 30 feet / 2 seconds = 15 feet per second. The skateboard traveled 55 feet in 4 seconds, so its speed is 55 feet / 4 seconds = 13.75 feet per second. Therefore, the skateboard is going slower than the scooter.

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1. Find the slope of the line that passes through the points (-3, -5) and (3, 2).

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(-3, -5), \ \ (3, 2) \n \n Slope Formula : \n \n m=(y_(2)-y_(1))/(x_(2)-x_(1))\n \nm=( 2-(-5))/( 3-(-3))\n\n m=( 2+5)/( 3+3)\n\nm=(7)/(6)
m=(y_B-y_A)/(x_B-x_A)=(2-(-5))/(3-(-3))=(2+5)/(3+3)=(7)/(6)

What is the focal length of the parabola whose graph is shown? focus: (-3, 2.6) and directrix: (-0.6)

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P=focal legnth is the distance from the focus to the vertex, which also is the disance from the directix to the vertex

therefor
distance from directix to focus=2 times focal legnth

find distance
horizontal distance
from y=-0.6 to y=2.6, that is distance ot 3 units
3/2=1.5
focal distance=1.5

Which one of the following is not equal to 100 meters? 0.100 kilometers 10 hectometers 10,000 centimeters 100,000 millimeters

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Situation: Which one of the following is not equal to 100 meters?
We were given 4 different choices with corresponding values, not let's start finding the correct answer.
=> 0.100 kilometers
1 meter = 0.001 km 
100 meters = 0.1 km
=> 10 hectometers
1 meter = 0.01 hm
100 meters = 1 hm
=> 10,000 centimeters
1 meter = 100 centimeters
100 meters = 10 000 cm
=> 100,000 millimeters
1 meter = 1000 mm
100 meters = 100 000 mm
thus the not equal answer is hectometer

Final answer:

When converted to meters, 0.100 kilometers, 10,000 centimeters, and 100,000 millimeters all equal 100 meters. However, 10 hectometers equals 1000 meters, hence it does not equate to 100 meters.

Explanation:

The units you provided for comparison are 0.100 kilometers, 10 hectometers, 10,000 centimeters, and 100,000 millimeters. Let's convert them all to meters using the following metric conversions:

  • 1 kilometer = 1,000 meters
  • 1 hectometer = 100 meters
  • 1 centimeter = 0.01 meters
  • 1 millimeter = 0.001 meters

So, based on the metric conversions:

  • 0.100 kilometers = 100 meters
  • 10 hectometers = 1000 meters
  • 10,000 centimeters = 100 meters
  • 100,000 millimeters = 100 meters

As such, 10 hectometers does not equal 100 meters. Instead, it amounts to 1000 meters.

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