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3 years ago

14

A truck can travel 210 miles in the same time it takes a car to travel 350 miles. If the trucks rate is 20 miles per hour slower

than the car’s, find the average rate for each.

1 answer:

Levart [38]3 years ago

3 0

Answer:

21 mph

Step-by-step explanation:

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You will have two birthdays this year.

charle [14.2K]

Is the answer a???????

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3 years ago

Explain how, in general, riemann sum approximations to the area of a region under a curve change as the number of subintervals

Lyrx [107]

As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.

As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.

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4 years ago

A jar made of 3/16-inch-thick glass has an inside radius of 3.00 inches and a total height of 6.00 inches (including the bottom

Nady [450]

Answer:

a) 0.012ft³

b)2.09 lb

c)0.791 lb

d) 0.012ft³

e) 6 inches

Step-by-step explanation:

a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

$V=3.1416\cdot{h}\cdot{(R^2-r^2)$

Where r is the inside radius and R the outer radius.

$V=3.1416\cdot{6}\cdot{(3.1875^2-3^2)=21.87$

convert to cubic ft:

$=21.87\cdot{0.0005787}=0.01266$

The volume of the glass shell is 0.012 ft³

b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

$M=p\cdot{v}=165\cdot{0.01266}=2.09$

The weight of the jar is 2.09 lb

c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

$=0.01266\cdot{62.5}=0.79$

0.791 lb of water will be displaced.

d) The volume of the water displaced is:

[tex]=0.791/62.5=0.01266

e) The jar will be fully submerged because the density of the jar is larger than water.

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3 years ago

Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form

Marysya12 [62]

Plug the values in the equation and find b
(x, y) and m = slope
$5 = ( - 7)( - 1) + b \\ b = - 2 \\ y = - 7x - 2$

4 0

3 years ago

Using the given information, find the following parameters.

Oksi-84 [34.3K]

Answer:

1. Mode = 2.60

2. Mean = 3.71

3. Median = 3.12

Step-by-step explanation:

1.

The mode, in statistics, is the number that occurs the "most". If there is no number occurring more than others, there is no mode. Also, there can be more than 1 mode as well.

We need to arrange the number from least to greatest for our ease. Let's do this first.

2.16, 2.19, 2.53, 2.60, 2.60, 2.94, 3.30, 3.67, 4.65, 5.40, 5.76, 6.71

Is there any number occurring more than once?

Yes, that's 2.60, so that's the mode.

Mode = 2.60

2.

The mean is the average. We take the sum of all the numbers and divide by the number of numbers [there are 12 numbers].

We have to round the answer to nearest hundredth (2 decimal places).

Let's calculate the sum.

SUM(2.16, 2.19, 2.53, 2.60, 2.60, 2.94, 3.30, 3.67, 4.65, 5.40, 5.76, 6.71) = 44.51

Now, the mean:

Mean = 44.51/12 = 3.71

3.

Median is the "middle" number when the numbers are arranged from least to greatest. If there are a set of even numbers, n = even, then we divide n by 2 and take the average of that number and next number.

Here n = 12

so 12/2 = 6

So we take average of 6th and 7th number to get the median.

First, let's find 6th and 7th number from the list.

6th number = 2.94

7th number = 3.30

We take average of that to find Median.

Median = (2.94+3.30)/2 = 3.12

6 0

3 years ago