Answer:
[tex]\displaystyle A = 7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightPre-Calculus
Parametric to Rectangular Form ConversionCalculus
Integrals - Area under the curve
Area of a Curve Formula: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx[/tex]
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
*Note:
The area under the curve is essentially the definition of an integral.
Step 1: Define
Parametric
x = t
y = 3t²
1 ≤ t ≤ 2
Step 2: Rewrite
Rewrite parametric to rectangular form and change bounds of integration.
[Parametric] Substitute in t: y = 3x²[Parametric] Plug in values of t [Bounds]: 1 ≤ x ≤ 2Step 3: Find Area
Integration.
Substitute in variables/function [Area]: [tex]\displaystyle A = \int\limits^2_1 {3x^2} \, dx[/tex][Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = 3\int\limits^2_1 {x^2} \, dx[/tex][Area] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = 3(\frac{x^3}{3}) \bigg| \limit^2_1[/tex][Area] Evaluate [Integration Rule - Fundamental Theory of Calculus 1]: [tex]\displaystyle A = 3(\frac{2^3}{3} - \frac{1^3}{3})[/tex][Area] (Parenthesis) [Fraction] Evaluate exponents: [tex]\displaystyle A = 3(\frac{8}{3} - \frac{1}{3})[/tex][Area] (Parenthesis) Subtract: [tex]\displaystyle A = 3(\frac{7}{3})[/tex][Area] Multiply: [tex]\displaystyle A = 7[/tex]Topic: AP Calculus AB/BC
Unit: Area under the curve
Book: College Calculus 10e
a map with a scale of 0.25 inches = 30 miles, the distance between two cities is 8.3 inches. Find the actual distance between the cities.
Step-by-step explanation:
the answer to your question is400 miles
The figure is made up of a semicircle and a triangle, what’s the area of the figure?
Answer:
63.25 ft², use the formula then you can find the answer.
y = 2 - 3x
3 = y + 2x
Answer:
(-1,5)
Step-by-step explanation:
Using the function g(x) = -2x + 5, what would the input need to be for an output of -5?
A. 5
B. -5
C. 0
D. 15
Answer:
A. 5
Step-by-step explanation:
g(x) = - 2x + 5
Then
g(x) = - 5
- 2x + 5 = - 5
- 2x = - 5 - 5
- 2x = - 10
x = 10 / 2
x = 5
Michael has 12% of his paycheck
automatically deposited to his savings
account. His last paycheck was $2165.00
How much money was deposited to
Michael's savings account?
If Michael Saves this amount for
24 consecutive pay periods, how much
will he have saved total?
Answer:
259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total
Step-by-step explanation:
How are the triangles similar PLEASE HELPPP!
Answer:
No
Step-by-step Explaination:
If we add up numbers in one line segment like 15+25 and 10+6 we do not get multiples so the triangle GYK is not similar to BAK
Mark Me As A Brainliest
The solution of 25x = 300 is 12. The solution of 25x>300 is all values
Answer: x>12 so anything greater than 12 is correct
Step-by-step explanation:
The solution to the given inequality is all values that are greater than 12.
Inequality:Important information:
The solution of [tex]25x = 300[/tex] is 12.The given inequality is [tex]25x>300[/tex].We have,
[tex]25x>300[/tex]
Divide both sides by 25.
[tex]\dfrac{25x}{25}>\dfrac{300}{25}[/tex]
[tex]x>12[/tex]
Therefore, the solution to the given inequality is all values that are greater than 12.
Find out more about 'Inequality' here:
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Hellpppppppppppppppppppp
Answer:
6
Step-by-step explanation:
I just learned about this yesterday. The line inside of the box is the median. The left side of the box, on the number 2, is the lower quartile. The dot on the line to the left, outside of the box, is above the smallest value. The right side of the box is the upper quartile. The line outside of the box on the right is the highest value. Hope this helps!
Mhanifa please help I need this done ASAP! I will mark brainliest. I don’t want people putting random answers! Thanks Mhanifa for all the help you give :) random answers will be reported y’all so you ain’t gonna get away with it!
Answer:
A. Obtuse isoscelesD. Right scaleneStep-by-step explanation:
Triangle 1This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°
Correct option is
A. Obtuse isoscelesTriangle 2This is right triangle and all sides have different lengths.
Correct option is
D. right scaleneFind the pattern. What numbers come next?
61, 54, 47, 40,
Answer:
33
Step-by-step explanation:
It's decreasing by 7
The relation is the descending the series by 7 and the next term is 33.
We have to determine, find the pattern and what numbers come next
We have given that, 61, 54, 47, 40.
What is the series?
A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.
61-54=7
54-47=7
47-40=7
So the next term is
40-7=33
Therefore the relation is the descending the series by 7 and the next term is 33.
To learn more about the series visit:
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Factor the following: 7a+ 3
Answer:
It's not factorable.
Step-by-step explanation:
The graph shows the relationship between sugar and water in a fruit punch recipe.
Write an equation to represent the graph in terms of y and x.
(PLEASE HELP ME)
Answer:
41
Step-by-step explanation:
Help me pls pls pls
Answer:
8
Step-by-step explanation:
Step-by-step explanation:
sgnagngfanarmjmwramfanagdhndh
Estimate √40 to the nearest tenth. *
A. 6.9
B. 6.3
C. 7.1
D. 5.7
What is the value of 3 n plus 1 when n=4
Answer:
13
Step-by-step explanation:
3n+1
putting n=4
3(4)+1
12+1
13
24 = 2w - 10 Solve for w, simplify your answer as much as possible
Answer:
the answer is 17
Step-by-step explanation:
2w-10=24
10+24=34
34/2=17
so w=17
Answer:
w=17
Step-by-step explanation:
What is the value of p in the equation 45 = 5(p+2) *
3
5
7
35
Answer:
Step-by-step explanation:
if 45=5(p+2)
45=5p+10
45-10=5p
35=5p
p=35/5=7
Please help due tomorrow and i have to go to bed
Answer:
B & D
Step-by-step explanation:
-3 (0.15 - 0.2 + 0.25p) = - 3 * 0.15 - (-3) * 0.2 + (-3) * 0.25p
-0.45 + 0.6 - 0.75p = 0.15 - 0.75p = -3 (-0.05 + 0.25p}
What is the probability of rolling a six on a fair die?
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a six,
let's use our ratio for the probability of an event.
number of favorable outcomes / total number of outcomes
Since only one side of a die has a six on on it, the number of favorable
outcomes for rolling a six is 1 and since there are six sides to a die and it's
equally likely that the die will landy on any of these sides, the total number
of outcomes is 6.
So the probability of rolling a six is 1/6.
Write an expression illustrating the total vertical distance the dolphin traveled from the spot it was first sighted, according to the observations. Simplify the expression to find the total vertical distance the dolphin traveled.
Answer:
hello your question lacks some information hence I will provide a more general answer
answer :
The expression is ; D = a + ar
Step-by-step explanation:
An expression illustrating the total vertical distance travelled by a body from rest ( "spot it was first sighted" ) as quoted in the question. can be written as
D = a + ar
where D = Total vertical distance travelled
a = start term ( initial height )
r = common ratio
Mrs. Jordan participates in a math contest. She completes each question in 1/2
a minute. How long does it take Mrs. Jordan to complete 12 questions?
it takes mrs. jordan 24 minutes to complete 12 questions.
if she completes each question in 1/2 a minute, then:
1/2 / 12 questions = 24 minutes.
Which angle number represents an angle adjacent to ∠PSL
Answer:
NSL
Step-by-step explanation:
The angle number which represents an angle adjacent to ∠PSL is interior ∠1.
What is a teansvarsal?A transversal is a line that intersects two lines at two different points.
When a transversal intersects two lines at two different points two pairs of interior and exterior angles are formed.
If a transversal intersects two lines that are parallel to each other then the pair of corresponding and alternate angles are of the same measure.
We know adjacent angles share a common side.
In the given diagram ∠PSL is adjacent to ∠KRL because these two angles share a common side which is Line LM.
learn more about the transversal line here :
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Write an expression that is the product of two factors and is equivalent to - 4x – 20.
Answer:
4(−x−5)
Step-by-step explanation:
−4x−20
Factor out 4.
4(−x−5)
The point (8,1) is on the line. (Remember the line continues in both directions forever.)
True
O False
the answear us true im preety sure
Solve for x. Round to the nearest hundredth if
necessary.
x
19
29°
Answer:
brainlist
Step-by-step explanation:
good can you make me brain list
Write a numerical expression to match the written expression below: Twenty-three less than the sum of forty-nine and thirty-seven
Answer:
23 - (49 - 37)
Step-by-step explanation:
Food bill:$86.32 Tip:20%
Answer:
The answer is $17.26
Step-by-step explanation:
Answer:
17.26
Step-by-step explanation:
if you plug in a calculator 20% 86.32 you get 17.264 but if you siplify you get $17.26
Hope this helped you!!
Find the slope of the following graph and Choose the correct result
Answer: B 1/3
Step-by-step explanation:
For every 3x it travels 1 y so you will get 1/3 as your answer.
At 50y the line is at 10x. By the time it is at 60 y it is at 40x. This was a change in y by 10 and change in x by 30. There fore the answer is 10/30 or 1/3.
Answer:
1/3
Step-by-step explanation:
(10,50),(40,60)
When you find the slope of the two points, you'll get 1/3
What is the median of the data set represented by the dot plot?
Enter the answer in the box.
Answer:
5Step-by-step explanation:
Median - The middle number in a set a data
First, you need to list the numbers least, on the left, to greatest, on the right.
3, 3, 4, 5, 5, 5, 6, 8, 8
Once you have done this, you can follow these steps.
Cross off the lowest number. Cross off the highest number. Repeat until there is one or two numbers left.
3, 4, 5, 5, 5, 6, 8
4, 5, 5, 5, 6
5, 5, 5
5
Since there is one number left, that is the median. In case of there being two numbers left, you add them together. Then divide by 2 and that would be your median
Answer:
[tex]\Large \boxed{\sf 5}[/tex]
Step-by-step explanation:
Data set is 3, 3, 4, 5, 5, 5, 6, 8, 8
Median is the middle value in a data set
if you get right answer you get good review on here