Calculus: Help ASAP
Using n = 4 equal-width rectangles, approximate the integral from negative 2 to 2 of the quantity x cubed plus 8, dx. Use the mid-point of each sub-interval to determine the height of each rectangle.
Answer:
32
Step-by-step explanation:
To solve this, you need to start by finding the width of the rectangles and the midpoints. If n=4, b=2, a=-2, and the width of each triangle is delta x = b-a / n, then each width is equal to 1 and there will be four midpoints (you can also tell the amount of midpoints by n=4). These midpoints are -1.5, -0.5, 0.5, and 1.5. The height of each of the rectangles is going to be equal to f(x*k), where x*k is the specific mid point. This means that you need to find f(-1.5), f(-0.5), f(0.5), and f(1.5). When putting these into the function you will get 4.625, 7.875, 8.125, and 11.375. Seeing as the Riemann Sum formula says the summation of f(x*k) * delta x, multiply each of the heights by the width of 1 and then add all of the values together. When you do this you will get 4.625 + 7.875 + 8.125 +11.375 which all totals to 32. This means that the approximation of the given integral is 32.
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Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? give an example
Walter is a comic book artist. He usually draws 36 comic panels each day. How many comic panels can he draw in 2 weeks.
An equilateral triangle is also a(n) _____ triangle. obtuse right isosceles scalene
Figure JKLM is a kite. What is the measure of angle K?
118 + 78 + 46 = 242
3 inside angles should equal 360 degrees
so angle K = 360 - 242 = 118 degrees
Answer:
(B) the measure of angle K=118°
Step-by-step explanation:
From the given figure, ∠KJM=78°, ∠JML=118°,∠MLK=46°
Now,since JKLM is a quadrilateral and we know that sum of all the angles of a quadrilateral is =360°, thus
∠KJM+∠JML+∠MLK+∠JKL=360°
⇒78°+118°+46°+∠JKL=360°
⇒242°+∠JKL=360°
⇒∠JKL=360°-242°
⇒∠JKL=118°
Thus, the measure of angle K=118°
What rule can be used to find the next term of the arithmetic sequence
Add.
Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether?
a. 2 hours
b. 1 1/3 hours
c. 2 2/3 hours
d. 5 1/3 hours
Which table represents a linear function?
Answer
C
hope it helps
What is the justification for each step in the solution of the equation?
−2(x−1)+12=4x−6−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step.
−2(x−1)+12=4x−6−2(x−1)+12=4x−6 Given
−2x+2+12=4x−6−2x+2+12=4x−6
−2x+14=4x−6−2x+14=4x−6 Combine like terms.
−2x=4x−20−2x=4x−20
−6x=−20−6x=−20 Addition or Subtraction Property of Equality
x=206x=206
x=103x=103 Simplify.
Here are the following justifications:
Given: -2 (x-1) +12=4x-6
Distribute property = -2x+2+12=4x-6
Combine like terms= -2x+14=4x-6
Transpose = -2x = 4x – 20
Addition or Subtraction Property of Equality = -6x = -20
Division property of equality = x = 20/6
Simplify = x = 10/3
Answer:
Step-by-step explanation:
How can I pass the Algebra 1 EOC?
What is the answer to the word problem a can of mixed nuts has 5 peanuts for every 2 cashews. there are 175 peanuts in the can. how many cashews are there?
What is the result of factoring out the gcf from the expansion (24+36)?
what is the slope of the line through (-7,-8) and (0,4)
Answer:
the slope of the line is 12/7
Step-by-step explanation:
The sum of two consecutive integers is 131. What are the integers?
Answer:
The Integers are 65&66
Step-by-step explanation:
Because I got correct with these awnsers
Need help with perfect square! 40 points
to be a perfect square C needs to be a number that can be squared
and the middle term needs to be able to be multiplied by 2 or -2 of the square of the 3rd term (C)
so in this case C = 25
25 can be squared ( square root of 25 is 5)
square root of 25 (5) times 2 = 10 ( 2nd term)
C = 25
a group of 150 students were asked to identify 55 flowers. the relative frequency table shows the results. about how many students identified at least 35 flowers?
Answer:
55 Students identified at least 35 flowers.
Step-by-step explanation:
Here we have to ask at least 35 flowers, so there are only 3 classes. i.e. 35 - 41, 42 - 48, 49 - 55.
Thus, Number of Students identified at least 35 flowers is: 5 + 31 + 19 = 55
Further, Frequency is the number of repetitions of particular observation or class.
Relative frequency is the proportion of frequency. For finding the Relative Frequency divide the frequency of that observation or class to the total frequencies.
Simplify –2x3y × xy 2. A. –2x3y4 B. –3x4y3 C. –12x4y3 D. –2x4y3
How to simplify equations with fractional exponents?
Final answer:
To simplify equations with fractional exponents, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. Then multiply the numerators and denominators together and simplify by common factors if needed.
Explanation:
When simplifying equations with fractional exponents, we can follow these steps:
Divide the digit term of the numerator by the digit term of the denominator.Subtract the exponents of the exponential terms.Multiply the numerators and denominators together and simplify by common factors if needed.For example, let's simplify the equation √(x³ / y²). We divide x³ by y², which gives us x/y. Then we subtract the exponents, resulting in √(x/y). Finally, we can simplify the fractional exponent by taking the square root of x/y, which gives us √(x/y).
A student is attempting to simplify the expression below. Sample mathematical work is shown. Which statement best applies to the sample mathematical work?
Given xy+yx+x-3(x+y), I first apply the distributive property, which yields the expression xy + yx + x – 3x – 3y. I can then collect like terms: since x – 3x = –2x, I have the expression xy + yx – 2x – 3y as my final answer.
A.
The student failed to properly apply the distributive property.
B.
The student collected two or more terms that were not like terms.
C.
The student failed to collect all like terms.
D.
The mathematical work shown above is correct.
Betsy, a recent retiree, requires $ 6 comma 000 6,000 per year in extra income. She has $ 60 comma 000 60,000 to invest and can invest in B-rated bonds paying 15 15% per year or in a certificate of deposit (CD) paying 5 5% per year. How much money should be invested in each to realize exactly $ 6 comma 000 6,000 in interest per year?
The number of heads that come up when a coin, biased so that heads comes up with probability 3/4, is flipped three times.
Rita had $300.she spent 1/3 of her money on notebooks and 1/4 of the remainder on staionary items.how much money does she have left
What is the length of the hypotenuse of a right triangle if each of the two legs is 6 units?
Square root of 12
6
Square root of 72
36
Question
Simplify (x^2+5x+6)/(15xy^2)/(2x^2+7x+3)/(5x^2y)
For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.
If x = 7, then x2 = 49.
a. If x2 = 49, then x = 7. True; x^2 = 49 if and only if x = 7.
b. If x2 = 49, then x = 7. True; x = 7 if and only if x^2 = 49.
c. If x2 = 49, then x = 7. False
d. If x2 = 7, then x = 49. False
The converse of 'If x = 7, then x^2 = 49' is 'If x^2 = 49, then x = 7' which is considered true in the real number system. So, these can be combined as a biconditional: 'x = 7 if and only if x^2 = 49.'
The problem involves understanding the conditional, converse, and biconditional statements in mathematics logic. The initial conditional statement is 'If x = 7, then x^2 = 49.' We then need to assess the converse of this, which would be 'If x^2 = 49, then x = 7.' This converse statement is actually true, though it’s implied that we are dealing with real numbers. That’s because, in the real number system, when x^2 = 49, then x could technically be either 7 or -7.
However, because the original statement specified that x = 7 directly, we can say that both the conditional and converse are true. Therefore, these two statements can be combined as a biconditional. The biconditional statement, which is a statement that is accurate if both the conditional and converse are true, would be: 'x = 7 if and only if x^2 = 49.'
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The sum of three consecutive even integers is –78. What are the integers? Describe how you would use the strategy of writing an equation to solve the given problem.
3 even integers
divide -78 by 3
-78 / 3 = -26
so -24 + -26 + -28 = -78
equation would be:
n + n+2 + n+4 = -78
3n +6 = -78
3n = -84
n = -84 / 3 = -28
n +2 = -28 +2 = -26
n+4 = -28 +4 = -24
FM = 5y + 13, MG = 5 - 3y, FG = ? M is the midpoint of FG. Use the given information to find the missing measure or value.
A line is a one-dimensional shape that is straight. The length of the side FG is 16 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that FM = 5y + 13 and MG = 5 - 3y. Also, midpoint of the line FG is M, therefore, the length of the two segments FM and MG will be equal to each other.
FM = MG
5y + 13 = 5 - 3y
5y + 3y = 5 - 13
8y = -8
y = -8/8
y = -1
Now, the length of the two line segments will be,
FG = FM + MG
= 2y + 13 + 5
= 2y + 18
= 2(-1) + 18
= -2 + 18
= 16
Hence, the length of the side FG is 16 units.
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Louisa's savings change by -$9 each time she goes bowling.in all it changed by -$99 during the summer.how many times did she go bowling in the summer?
Answer:
She went 11 times.
Step-by-step explanation:
Given,
The change in saving in each time she goes bowling = -$ 9,
If she goes t times,
The change in saving for going t times = t × change in saving in each time
= t × -9
= -9t dollars,
According to the question,
-9t = -99
[tex]\implies t=\frac{-99}{-9}=11[/tex]
Hence, she went 11 times to bowling.
A red blinking light blinks every 18 seconds, while a yellow blinking light blinks every 12 seconds. If both lights start at the same time, after how many seconds will they next blink at the same time? A) 6 B) 18 C) 36 D) 54
In order to find the answer, you need to find the LCM, Least Common Multiple. The least common multiple of 18 and 12 is C. 36
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