Properties of Definite Integrals A definite integral is a function that assigns a value to the area under a curve on a given interval are additive , linearity , continuity , monotonicity and upper and lowersums.
1. Additivity: The definite integral of a sum is equal to the sum of the definite integrals.
2. Linearity: The definite integral of a linear function is equal to the product of the function's slope and the length of the interval.
3. Continuity: The definite integral of a continuous function is equal to the area under the curve between two points.
4. Monotonicity: If a function is increasing or decreasing on a given interval, then the definite integral of the function is also increasing or decreasing.
5. Upper and Lower Sums: The upper and lower sums of a function are the sums of the areas of rectangles constructed under or over the curve between two points. The definite integral of the function is equal to the difference between the upper and lower sums.
Learn more about integral here
https://brainly.com/question/18125359
#SPJ4
(-3, -4) and (-5, y); m = -9/2
Answer:
the answer would be y= -40
PLEASE HELP ASAP ITS DUE SOON
Lines R and S are parallel Find the value of x, then find the measure of m<1 and m<2.
m<1=(70-2x)"
m<2 = (82-3x)
x=
m<1=
m<2=
m<1 and m<2 are corresponding angle
Answer:
im very confused aadly
What is the greatest common factor of 12a and 9a2
Answer:
For these types of problems, You must look at the coefficients and variables separately and find the GCF for each. Then, combine the two
First, take 12 and 9
Factors of both
9- 1, 3, 9
12- 1, 2, 3, 4, 6, 12
So the gcf of 12 and 9 is 3
Now do the variables a and a^2
a^2 is just a twice
The GCF is a
Now combine a and 3
Answer: GCF is 3a
Answer:
GCF is 3a
Step-by-step explanation:
I just know LOLLL
A unit of electricity costs 13.2 pence. On average, Tanya uses 90 units of electricity per week. She pays for her bill in 12 weeks. How much will her electricity bill be then? £
Answer:
90*12=1080
1080*13.2=14256
14256:100=142,56pounds
HELP ME SOLVE THIS!!!
Answer:
what are u solving for????????
Step-by-step explanation:
6. There are 30 students doing an
experiment in Science class. If 40% are
measuring the chemicals for an experiment,
what percent are NOT measuring chemicals?
a. 12%
C. 40%
b.
18%
d. 60%
Answer:
60%
Step-by-step explanation: THeres 30 students, 40% are measuring so that leaves 60% not measuring because in order to have 100% students you'll need 60 to add to the current 40% of students already doing the measuring.
Answer:
The correct option would be D. 60%
Step-by-step explanation:
This is because if only 40% percent of the students are measuring the chemicals then, out of 100%, 60% of students are not measuring chemicals.
Hope this helps!
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.
How long is the dart in the air? Round to the nearest tenth
A. 0.7
B. 0.8
C. 1.5
D. 1.6
Answer:
D
Step-by-step explanation:
Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).
Which set of angles will be complimentary
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
4 3/8 + 5 1/2= in fractions
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
A plane is flying over your head at 30, 000 feet. You calculate the angle of elevation to be 65 degrees . At that time how far is the plane from you?(round to the nearest foot)
Answer:
33101 ftStep-by-step explanation:
Let the distance is x.The height is 30000 ft.The angle of elevation is 65°Use trigonometry to solve.
x is the hypotenuse and 30000 ft is the opposite side of 65° angle:
sine = opposite / hypotenusesin 65° = 30000 / xx = 30000 / sin 65°x = 33101 ft (rounded)Refer to the attachment
help please thanks very much
Answer:
the right answer is 18 because 120 divided by 20 is 6 so the you do 6 times 3
Answer:
the answer is 18
Step-by-step explanation:
20:3=workers:casiers
120:x
cross multiply so that means 3 multiplied by 120 which is 360 divided by 20 which is 18
hope this helps :)
Twenty-five people in a survey were asked to give their current checking account balances. Use the balances shown in the following list to complete the frequency distribution table.
$220
$337
$29
$60
$201
$519
$462
$290
$131
$572
$227
$111
$124
$509
$331
$306
$439
$28
$504
$431
Fill in the missing information.
Class Intervals
Class Frequency
(Account Balances) (Number of People)
$0-$99
$431
$83
$451
$417
$341
CIP
Twenty-five people in a survey were asked to give their current checking account balances and the frequency = 4.
What is frequency and example?
The frequency of a particular data is the number of times the data value occurs. We represent the frequency of a data value by f. For example, if five students got an A in science, and then the grade A is said to have a frequency of 5.Given that;
Class intervals Class frequency
(Account Balance) (No of people)
$0 - $99 ?
Entries in this ($0 - $99) range are $29 , $60 , $28 , $83 = 4
Therefore, class frequency (no of people) = 4
To learn more about frequency check the given link
brainly.com/question/28821602
#SPJ1
Shawn and Nick are both selling t-shirts to raise money for their school trip. Shawn spent $250 on supplies and charges $35 per shirt. Nick spent $100 in supplies and charges $25 per shirt. How many shirts must be sold in order for Shawn to earn the same as Nick?
Answer:
15
Step-by-step explanation:
Shawn: 35x - 250
Nick: 25x - 100
35x - 250 = 25x - 100
10x = 150
x = 15
What is the image of the point (6,-4) after a rotation of 90 degrees counterclockwise about the origin?
Answer: (4, 6)
Step-by-step explanation:
You change the numbers places (x to y and y to x) while switching the sign of the original y value.
what does the global climate change have to do with mcr
Answer:
Everything bro
Step-by-step explanation:
which value of x is the solution of the equation 2/3x + 1/2 = 5/6?
Answer:
2
Step-by-step explanation:
2/3(2) + 1/2 = 5/6
If it's 2/3 * X then x is equal to 1/2.
Order the following values from least to greatest |-2| |4.5| -7 3
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
-7 is the lowest number, since it is a negative. The absolute value of -2, or |-2|, is 2 making it the second lowest. 3 comes next. The absolute value of 4.5 is 4.5, being the greatest number.
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
First, let's find -2 and |4.5| .
Absolute value of a number is its distance from 0. Remember, absolute value is always zero or positive.
Now, let's use a number line to order the numbers. Numbers to the left are less than numbers to the right.
The values in order from least to greatest is as follows: -7, |-2|, 3, |4.5|.
Five less than twice the sum of a number n and twelve
How does an angle complementary to acuate angle A compare with an angle supplementary to angle A?
The angle complementary to an acute angle A is always acute and smaller than 90 degrees, while the angle supplementary to angle A is always larger than 90 degrees, they cannot be equal since they are adding up to 90 degrees and 180 degrees respectively.
What is Complementary AngleA complementary angle is a pair of angles that add up to 90 degrees. Two angles are said to be complementary if the sum of their measures is 90 degrees. The two angles are called complementary angles because they "complete" a right angle.
An angle is considered acute if it measures less than 90 degrees. A complementary angle is an angle that, when added to another angle, will sum up to 90 degrees. So, if angle A is acute, then its complement angle will also be acute.
On the other hand, an angle supplementary to angle A is an angle that, when added to angle A, will sum up to 180 degrees.
So, an angle complementary to an acute angle A is always acute and smaller than 90 degrees, while an angle supplementary to angle A will always be larger than 90 degrees. They can't be equal since they are adding up to 90 degrees and 180 degrees respectively.
For example, if angle A measures 60 degrees, its complementary angle will measure 30 degrees (90 - 60 = 30) and its supplementary angle will measure 120 degrees (180 - 60 = 120).
Learn more on complementary angle here;
https://brainly.com/question/8180880
#SPJ1
Meals are cooked in a process with two resources. The first resource has a capacity of 28 meals per hour. The capacity of the second resource is 24 meals per hour. The first resource has 9 workers and the second resource has 8 workers. Demand for this process is 31 meals per hour. Wages are $24 per hour. Instruction: Round your answer to four decimal places. What is the cost of direct labor (in $s)? _____________ per unit
Answer:
The cost of direct labor (in $s) is $7.85 per unit.
Step-by-step explanation:
First resource total wages per hour = Number of workers in first resource * Wages per hour = 9 * $24 = $216
Second resource total wages per hour = Number of workers in second resource * Wages per hour = 8 * $24 = $192
Total wages of the process per hour = First resource total wages + Second resource total wages = $216 + $192 = $408
Cost of direct labor per unit = Total wages of the process per hour / (Capacity of first resource + Capacity of second resource) = $408 / (28 + 24) = $7.85
Therefore, the cost of direct labor (in $s) is $7.85 per unit.
w
courses/22406/quizzes/25030/take
OPA
Education Galaxy
D
Ennis 150
Unblocked Games
New tab 4th bone game
1. Francine can decorate 3 cakes in 20
minutes. At this rate, how many cakes can
Francine decorate in one hour?
None of the Above
Answer:
Francine can decorate 9 cakes in 1 hour.
Step-by-step explanation:
Since there are sixty minutes in an hour, knowing that 20 × 3 = 60, all you have to do is multiply 3 by itself to get 9.
HELP ASAP DUE TODAY I DON"T KNOW I AM NOT REALLY SMART SO HELLLLLLLLLLLLLP ME!!!! WORTH 50 POINTS
Answer:16
Step-by-step explanation: I took the same quiz
Sam buys 4 boxes of the Crispy Crunch Cereal at Store A. What
fraction of the original price of each box of cereal does he pay per
box? Enter your answer and explanation in the box.
B 1 u
X, Ω
Store Discounts
Sam shops at three stores and each store is having its own
sale as described below.
Store A Crispy Crunch Cereal: Buy 3 boxes, get 4th free!
Store B: Take off the original price of one item!
Store C: Mystery Discount! Percent off your total purchase will
be revealed at the register!
Answer: 3/4 of the original price.
Step-by-step explanation:
Ok, so Sam buys 4 boxes in Store A.
We know that in Store A you can get 4 boxes paying only for 3.
If P is the price of a Box, then he got 4 boxes and paid 3*P
then the amount that he paid for each box is equal to the total amount that he paid divided the number of boxes that he received.
this is: 3P/4 = (3/4)*P
Meaning that he paid 3/4 of the original price for each box.
The model below illustrates what problem
The problem illustrated by the model given is B. x = 1 + 2 - 6
Which model shows the problem ?The model that shows the problem would be the one that explains the movement of the problem in the number line.
The problem starts at 1 and then moves to 3 and then moves to - 3.
From the options, the only model to represent this would be x = 1 + 2 - 6. This is because the initial position of 1 corresponds with the first value of 1. The movement to 3 happens when 2 is added to 1. And finally, the movement to - 3 happens when - 6 is added.
Find out more on models at https://brainly.com/question/21832213
#SPJ1
The measure of ∠BAC is π/3 radians and the measure of ∠CAD is π/2 radians. What is the measure of ∠BAD?
9514 1404 393
Answer:
5π/6 radians
Step-by-step explanation:
The whole is the sum of the parts.
∠BAD = ∠BAC +∠CAD
∠BAD = π/3 + π/2 = π(2/6 + 3/6)
∠BAD = 5π/6
simplify 1 1/6 + 2 1/4 -1/3
The fraction expression 1 1/6 + 2 1/4 -1/3 when simplified is 3 1/12
How to simplify the expressionGiven that
1 1/6 + 2 1/4 -1/3
Connvert the fractions to improper numbers
so, we have the following representation
1 1/6 + 2 1/4 -1/3 = 7/6 + 9/4 - 1/3
Take the LCM and evaluate
1 1/6 + 2 1/4 -1/3 = (14 + 27 - 4)/12
So, we have
1 1/6 + 2 1/4 -1/3 = 37/12
Convert to mixed numbers
1 1/6 + 2 1/4 -1/3 = 3 1/12
Hence, the solution is 3 1/12
Read more about fractons at
https://brainly.com/question/78672
#SPJ1
PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
Read more about exponential function at
https://brainly.com/question/2456547
#SPJ1
Point A is located at (1, 2). Point B is located at (4, 6). Use this information to determine the length of the line, rounded to the nearest whole number.
If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.
To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.
Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:
d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5
Rounded to the nearest whole number, the length of the line is also 5 units.
In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.
To learn more about distance click on,
https://brainly.com/question/28658621
#SPJ1
If a recipe for 24 cookies needs 2 cups of flour, how many cups would we need to make 42 cookies?
Answer:
3 1/2 cups
Step-by-step explanation:
24=2
42=x
24x=84
/24 /24
3.5
Explain
Find all the values of x for which the statement is true, |x^2+9|=x^2+9