The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car. (Use the Midpoint Rule with 5 subintervals. (Round your answer to one decimal place.)
_________ mi
t(s) v(mi/h) t(s) v(mi/h)
0 0 60 56
10 34 70 55
20 52 80 50
30 54 90 49
40 55 100 45
50 51

Answers

Answer 1

The estimated distance traveled by the car is 73.5 mi.

To use the Midpoint Rule, we need to divide the time interval into subintervals and evaluate the average velocity over each subinterval.

The time interval is from 0 seconds to 100 seconds, so we will divide this interval into 5 subintervals of length 20 seconds each. The midpoint of each subinterval is the average time, which we can use to estimate the average velocity over that subinterval.

The midpoints of the subintervals are:

Subinterval 1: (0 + 20)/2 = 10 secondsSubinterval 2: (20 + 40)/2 = 30 secondsSubinterval 3: (40 + 60)/2 = 50 secondsSubinterval 4: (60 + 80)/2 = 70 secondsSubinterval 5: (80 + 100)/2 = 90 seconds

Using the data from the table, we can calculate the average velocity over each subinterval:

Subinterval 1: (0 + 34)/2 = 17 mi/hSubinterval 2: (52 + 54)/2 = 53 mi/hSubinterval 3: (55 + 51)/2 = 53 mi/hSubinterval 4: (50 + 49)/2 = 49.5 mi/hSubinterval 5: (49 + 45)/2 = 47 mi/h

We can now use the Midpoint Rule to estimate the distance traveled by the car:

distance = (20/6) * (17 + 53 + 53 + 49.5 + 47)

              = (20/6) * 220.5

              = <<20/6*220.5=73.5>>73.5 mi

So, the estimated distance traveled by the car is 73.5 mi.

Learn More about Midpoint Rule:

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Use a calculator to approximate to expression to the nearest thousandth.
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Answer:

#3 1.92599941856

Step-by-step explanation:


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Answer:

5:24

Step-by-step explanation:

Given data

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asked = f(x) • g(x)

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Answer:

2x² + 3x - 5

Step-by-step explanation:

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What fraction of 2 minutes is 6
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Answers

Answer:

1/20 of 2 minutes = 6 seconds

Answer:

1/20; 0.05; 5%

Step-by-step explanation:

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Paul bought six sodas during three days of vacation. How many days will Paul have to spend on vacation before he will have bought a total of 12 sodas?

Answers

Answer:

6 days

Step-by-step explanation:

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quinn is playing in a trivia competition he earns 50 points for each correct response c he loses 25 points for each wrong response w. which expression represents Quinn's total points in the trivia competition​

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Answer:

50c – 25w

Step-by-step explanation:

PLEASE HELP! AHH I NEED HELP ASAP . PLUS ITS 6th GRADE MATH

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The answer is 25

Combind like terms the 3z+z which equals 4z then  subtract 25 from both sides.  Meaning 25-25 and 125-25. After you minus you get 100. The set up should look like this: 4z=100 then you divide it by 4z on both sides your answer should be z=25.

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×=20°

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The population of a southern city follows the exponential law. If the population doubled in size over 19 months and the current population is 50,000​, what will the population be 5 years from​ now?

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Answer:19=2x/yr..(407936.5)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The sum of two numbers is -45. The difis -89. Find the numbers larger and smaller

Answers

Answer:

22,-89

Step-by-step explanation:

let the numbers be x and y .

x+y=-45

x-y=-89

add

2x=--134

x=-67

-67+y=-45

y=-45+67=22

write down the temperature reading(in°c)​

Answers

Answer:

How do you write temperature in Celsius?

Step-by-step explanation:

This is sometimes solved by using the symbol °C (pronounced "degrees Celsius") for a temperature, and C° (pronounced "Celsius degrees") for a temperature interval, although this usage is non-standard.

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Answer:

the answer would be (in words) what ever number is said and then degrees Celsius

Step-by-step explanation:

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To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

m: The slope of the line

b: The y-intercept (The point where the line is at the y-axis)

Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.

The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially [tex]\frac{rise}{run}[/tex]

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

m = [tex]\frac{rise}{run}[/tex]

m = [tex]\frac{22}{1}[/tex]

m = 22

We now have the first variable of the equation.

y = 22x + b

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As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

y = 22x + 0

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If you'd like me to explain how I did anything, just ask!

- breezyツ

Answer:

Equation: y=22x + 0 (you can put 0 if you want)

Step-by-step explanation:

Okay, so this is set up as a y=mx+b equation meaning that m=rate of change and b=y-intercept. If a cheetah runs 22 feet per second which is x, that means that m=22. And if 1 second is equal to 22 feet then in 0 seconds they run 0 feet, which is your y-intercept. Another way to find the rate of change (m) is by using the equation y2-y1/x2-x1 or 44-22/1 in this case. This equation is usually written as y=22x.  Hope this helps!

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
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Enter your answer in the box.
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Answer:

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Answer:

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Step-by-step explanation:

just trust me

Answer:

I posted a photo of your graph below.

Step-by-step explanation:

it should look like this.

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Answers

Answer:

The cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.

Step-by-step explanation:

Since Hauls Vegetable Market sells carrots that cost $ 3.50 per pound, cucumbers that cost $ 0.69 per pound, and squash that cost $ 2 per pound, to determine what will be the cost for 2 1/2 pounds of carrots and 3/4 pound. of squash the following calculation must be performed:

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Squash: 2 x 0.75 = 1.50

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

I know you said to help but I did everything, just adjust the reasons like how your teachers give them I abbreviated mine

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Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

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Answer:

hey dude, sorry if this is wrong but i think its 6cm

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9514 1404 393

Answer:

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Step-by-step explanation:

Put the number where x is and do the arithmetic.

  f(2) = 2(2²) -2 +1 = 2(4) -2 +1 = 8 -2 +1 = 6 +1

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A) Median


B) Range


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Answers

Answer:

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Step-by-step explanation:

As we suspect the variability of concentration F - test is applied.

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n2=16      s2=5.8

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The null and alternate hypothesis are

H0: σ₁²=σ₂²       Ha:  σ₁²≠σ₂²

The null hypothesis is  the variability in concentration does not  differ for the two companies.

against the claim

the variability in concentration may differ for the two companies

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Test Statistic

F = s₁²/s₂²

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Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

People leaving the library were asked how many books they checked out that day. The results are: 1, 2, 2, 3, 3, 4,4,5,5, 6, 6, 7, 8, 10, 10 Which histogram correctly shows the data set? Pls don't put files on different site pls just type it on brainy.

Answers

Answer:

W

Step-by-step explanation:  

Its w trust me

Answer: the answer is a

Step-by-step explanation:

your welcome!! Hope this helped!

You are going to the movies with your family. Adult tickets cost $12.50 each. Children's tickets cost $9 each. The other expenses come to $25. Which expression can be use to figure out how much is spent, regardless of how many children and adults come?

A. 12.50 + 9 + 25

B. 12.50c + 9a + 25

C. 12.50a + 9c = 25

D. 12.50a + 9c + 25

Choose one answer.

Answers

I believe the answer would be D. 12.50a+9c+25

Find the missing measures using trig

Answers

X= cos^-1 (26.2/27)
x=14

Answer:

Step-by-step explanation:

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Answer:

More expensive

Step-by-step explanation:

The price will be about 16.29.

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Answer:

1; -5; -14; -20; -26

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In the equation, just replace the x with one of the numbers in the table, and solve the equation. It's that simple.

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How to find the smallest integer k such that 60k is a perfect square

Answers

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²

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Okjsndmdkdldkjdjdkeme

Guyyyysss ;( please help me with this

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I think it’s A. I don’t know if i’m right but that’s what I would put.

Answer: A) 2+3i

Step-by-step explanation:

Given

2-3i

Solve:

The formula for quadratic function: x=[-b±√(b²-4ac)]/2a

Through the formula, we get two solutions. One of them is 2-3i.

Since the first part is (something)±(something), the other solution will be 2+3i

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Please let me know if you need further explanations

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