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 secondsUsing 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/hWe 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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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?
Answer:
6 days
Step-by-step explanation:
6sodas x2=12
3days x2= 6
Help me on this please
Answer:
uhhhh i dont know
Step-by-step explanation:
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 $25. Which expression can be use to figure out how much is spent, regardless of how many children and adults come?
A. 12.50 + 9 + 25
B. 12.50c + 9a + 25
C. 12.50a + 9c = 25
D. 12.50a + 9c + 25
Choose one answer.
helppppp thankkksssss
Answer:
1; -5; -14; -20; -26
Step-by-step explanation:
y=-3(2) +7
y= -6+7
y= 1
y=-3(4) +7
y= -12+7
y= -5
y=-3(7) +7
y= -21+7
y= -14
y=-3(9) +7
y= -27+7
y= -20
y=-3(11) +7
y= -33+7
y= -26
Answer:
In the equation, just replace the x with one of the numbers in the table, and solve the equation. It's that simple.
Have a feeling you lied about being in "college"
f(x) = 2 x + 5, g(x) = x - 1
asked = f(x) • g(x)
please help..
Answer:
2x² + 3x - 5
Step-by-step explanation:
(2x + 5)(x - 1)
2x² - 2x + 5x - 5
2x² + 3x - 5
Hauls Vegetable Market has the folloeing vegetables for sale.
Carrots cost 3.50$ per pound
Cucumbers cost 0.69$ per pound
Squash cost 2$ per pound
What will be the ckst for 2 1/2 pounds of carrots and 3/4 pound of squash cost
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:
1/2 = 0.5
3/4 = 0.75
Carrots: 3.50 x 2.5 = 8.75
Squash: 2 x 0.75 = 1.50
8.75 + 1.50 = 10.25
Thus, the cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.
Guyyyysss ;( please help me with this
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
Hope this helps!! :)
Please let me know if you need further explanations
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
Answer:
50c – 25w
Step-by-step explanation:
Find the missing measures using trig
Answer:
Step-by-step explanation:
Use a calculator to approximate to expression to the nearest thousandth.
log, 3.8
Answer:
#3 1.92599941856
Step-by-step explanation:
Solve for x
15 points for prize
×=20°
Hope this helps :)
How do I solve this???
Answer:
Step-by-step explanation:
How to find the smallest integer k such that 60k is a perfect square
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
What fraction of 2 minutes is 6
seconds?
Answer:
1/20 of 2 minutes = 6 seconds
Answer:
1/20; 0.05; 5%
Step-by-step explanation:
Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%
Which graph below shows a linear equation with a slope of 2 and a y-intercept of −2?
Answer:
the first one :)
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.
The sum of two numbers is -45. The difis -89. Find the numbers larger and smaller
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
PLEASE HELP! AHH I NEED HELP ASAP . PLUS ITS 6th GRADE MATH
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.
Hope this helps!
Can anyone help me understand this assignment
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
PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION
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
What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.
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
y = 22x
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!
3 by 5 ratio 8 by 9
Answer:
5:24
Step-by-step explanation:
Given data
3 by 5
=3*5
=15
8 by 9
=8*9
=72
Hence the ratio is
15:72
Equivalent to
5:24
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?
Answer:19=2x/yr..(407936.5)
Step-by-step explanation:
Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of
n1=10
batches produced by company 1 is
s1=4.7
grams per liter, and for company 2, a random sample of
n2=16
batches yields
s2=5.8
grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use α = 0.05.
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.
n1=10 s1=4.7
n2=16 s2=5.8
And α = 0.05.
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
The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12
and 1/F∝(υ1,υ2) = 1/3.77= 0.26533
where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15
Test Statistic
F = s₁²/s₂²
F= 4.7²/5.8²=0.6566
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.
Melody buys a pair of jeans that is priced at $14.95 before tax. (Tax rate is 8.95%). Is the final amount cheaper or more expensive than the original price?
Whoever answers correctly will get Brainliest!
Have an amazing day!! :)))
Answer:
More expensive
Step-by-step explanation:
The price will be about 16.29.
What is the total surface area of the following square pyramid?
Answer:
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
Answer:
hey dude, sorry if this is wrong but i think its 6cm
Step-by-step explanation:
?? Anyone know what the answer to this is
9514 1404 393
Answer:
(d) 7
Step-by-step explanation:
Put the number where x is and do the arithmetic.
f(2) = 2(2²) -2 +1 = 2(4) -2 +1 = 8 -2 +1 = 6 +1
f(2) = 7
PLZ IF YOU DONT KNOW THE ANSWER DONT HELP MEE I HAVE TO PASS THIS SO I CAN PASS MATH THANK YOU VERY MUCH (The box number matches the questions number)
1) Which value is the same for box plots A and B?
A) Median
B) Range
C) IQR
D) Minimum
2. Which value is greater for box plot A than B?
A) Median
B) Range
C) IQR
D) Minimum
3. Which value is not the same for box plots A and B?
A) Median
B) Range
C) IQR
D) Minimum
I WILL MARK YOU AS BRAINLIEST ANSWER!!!!! Problem B: Jasper invests a total of 250,000 L$ (Linden dollars). He splits his
investment between a 30-day Linden Bank CD that pays 7% interest at the end of the
term and a 30-day Second Life real estate investment scheme organized by his brother
that ends up losing 4% of its original value at the end of 30 days. At the end of the 30
days, Jasper makes 2,100 L$. How much did Jasper invest in the CD and how much
did he invest in the real estate scheme?
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price, in dollars, of the book?
Enter your answer in the box.
$
Part B
A customer buys a different book that has an original selling price of $38. The bodk is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book?
Enter your answer in the box.
$
Answer:
The Part A answer would be 25% selling price. For Part B 10% would be the retail for the book.
Step-by-step explanation: 40% the less price 25% then next 25% less 10%.
write down the temperature reading(in°c)
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.
Hope it helps
Answer:
the answer would be (in words) what ever number is said and then degrees Celsius
Step-by-step explanation:
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.
Answer:
W
Step-by-step explanation:
Its w trust me
Answer: the answer is a
Step-by-step explanation:
your welcome!! Hope this helped!