Answer:
14 to 5
Step-by-step explanation:
9 + 5 = 14(total books)
new books = 5
so ratio of total books to new books is 14 to 5
need to evaluate integral pls help me
Answer:
[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \frac{159}{10}[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegral NotationIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle f(x) = \left \{ {{9x^9 ,\ 0 \leq x \leq 1} \atop {4x^3 ,\ 1 \leq x \leq 2}} \right.[/tex]
[tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \ ?[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \int\limits^1_0 {f(x)} \, dx + \int\limits^2_1 {f(x)} \, dx[/tex][Integrand] Substitute in function: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \int\limits^1_0 {9x^9} \, dx + \int\limits^2_1 {4x^3} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \int\limits^1_0 {x^9} \, dx + 4 \int\limits^2_1 {x^3} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \bigg( \frac{x^{10}}{10} \bigg) \bigg| \limits^1_0 + 4 \bigg( \frac{x^4}{4} \bigg) \bigg| \limits^2_1[/tex]Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = 9 \bigg( \frac{1}{10} \bigg) + 4 \bigg( \frac{15}{4} \bigg)[/tex]Simplify: [tex]\displaystyle \int\limits^2_0 {f(x)} \, dx = \frac{159}{10}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
Step-by-step explanation:
[tex]\int\limits^1_0 {9x^9} \, dx +\int\limits^2_1 {4x^3} \, dx[/tex]
=[tex]\frac{9x^{10}}{10} |_0^1 + x^4|_1^2[/tex]
[tex]=\frac{9}{10}+2^4 -1 = 15\frac{9}{10}[/tex]
Everything in the store was at 30% discount . A dress was originally for 65$ . What was the discount price ?
Answer: $45.50
Step-by-step explanation:
30% discount means 30% off the original price
1. find 30% of 65$
=.3*65
=19.5
2. subtract that from 65$
=65-19.5
=45.5
the discount price was $45.50
-3 (-3 - n) - 4 = 3n + 5
[tex]-3 (-3 - n) - 4 = 3n + 5\\\\\implies 9+3n -4 = 3n+5\\\\\implies 5 +3n = 3n+5\\\\\text{The equation is true for all values of n.}[/tex]
What is 40÷1/2 please help me
Answer: Pretty sure it's 80
Step-by-step explanation:
The area of a square is s2, where s is the side length of the square. Jack has a square-shaped flower garden in his yard. Each side of the garden is 8 feet. What is the area of the flower garden?
Answer:
64 square feet
Step-by-step explanation:
A = s² = 8² = 8*8 = 64
2, 1, 2, 4, 5, 4
What is the mean
[tex] \sf \: mean = \frac{Sum \: \: of \: \: Observation} {Total \: \: number \: \: of \: \: Observations} \\ \sf = \frac{2 + 1 + 2 + 4 + 5 + 4}{6} \\ = \sf \frac{18}{6} = 3[/tex]
Answer:
3
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the slope of the line containing (-3, 1) and (1, -2)?
Answer:
C is the answer
Step-by-step explanation:
Answer: The answer is C, -3/4.
Explanation: First graph the points, then add the straight line through them and to find the slope you do rise/run, formula being y2-y1/x2-x1. This means putting the second y value minus the first y value and dividing that by the second x value minus the first x value. Then simplify.
Chang works as a tutor for $11 an hour and as a waiter for $13 an hour. This month, he worked a combined total of 90 hours at his two jobs. Let t be the number of hours Chang worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Can you show more information please? I need more.
T = 90t + 90w
Step-by-step explanation:
90t = 90x11 = 990
90w = 90 x 13 = 1170
T = 90t + 90w
T = 990 + 1170
T = 2160
Need answer to the question
Answer:
B) Symmetric property of congruenceStep-by-step explanation:
The angles 1 and 2 are marked as congruent
If a ≅ b, then b ≅ a, this is called the symmetric property of congruence:
The symmetric property states that if one figure is congruent to another, then the second figure is also congruent to the first.Correct choice is B
Answer:
Symmetric property of similarity
Step-by-step explanation:
If a=a then that's reflexive propertyIf a=b and b=c then a=c, transitive propertyPlease help, very urgent!!!! 50 points!!
Answer:
f = 14
Step-by-step explanation:
it is because skephalo and hot and poggers science and dnf
Cube A has an edge length of 3 inches. Cube B has an edge length double that of Cube A.
What is the volume, in cubic inches, of Cube B?
A. 27in^3
B. 36in^3
C. 216in^3
D. 729in^3
Answer:
216
Step-by-step explanation:
Cube A volume
3*3*3=27
Cube B volume
6*6*6=216
Edge length of cube B=2(3)=6in
Volume:-
[tex]\\ \sf\longmapsto V=(6)^3[/tex]
[tex]\\ \sf\longmapsto V=6(6)(6)[/tex]
[tex]\\ \sf\longmapsto V=216in^3[/tex]
Given the system: 3x-3y=9 -9x+12y= -30
What number would you multiply the TOP equation by to eliminate your "x" values with addition?
Answer:
you would multiply by 3.
Step-by-step explanation:
Hi there!
In order to solve this system of equations through elimination, the sum of either the x or y values will have to equal 0. To eliminate x, you would have to find what, when added, will make the sum 0. In this case, a positive 9 will cancel out the -9 and give us 0. All we have to do is multiply the top equation by 3 so that the x value is equal to 9x!
I hope this helps!
2 2/6 is equivalent to what?
in the pediatric unit of a hospital has 165 beds how many are there if each room holds 3 beds
Answer:
There are 55 rooms
Step-by-step explanation:
There are 165 beds in the hospital. Each room contains 3 beds. In order to find the number of beds per room, take the total number of beds and divide it by the number of rooms in each bed. 165/3=55. There are 55 rooms in the hospital, all containing 3 beds.
Hope this helps!
How do I write 435 in expanded from
Answer : 400 + 30 + 5
Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".
4 --> Since it's in the hundreds place that means the number is 400 !
3 --> Since it's in the tenths place that means the number is 30 !
5 --> Since it's the first digit that means it stays as the number 5 !
Hope this helped ! <33
Take care happy holidays ! Contact me if you need more help on this ! ( If you want )
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Each consecutive element of the series has one less blue points than the before element, with that, we conclude that the correct option is D, where there is only one blue point.
Which of the following is most likely the next step in the series?
Here we can see a series of 3 elements.
the first element is a circle with 4 blue points on its circumference, such that the points are connected to form a rectangle.
The next element is a circle with 3 blue points on it, such that when the points are connected a triangle is formed.
The third element is a circle, this time with 2 points, and the connection forms a segment.
So what we can see is that in each consecutive element the number of blue points on the circumference of the circles decreases by one, so the logical conclusion is that the next element will have only one point on its perimeter, then the correct option is D, where we can see only one blue point on the perimeter of the circle.
Learn more about series:
https://brainly.com/question/24643676
#SPJ1
Ellie and Isaiah are helping their friend Nora move. If Ellie can move 4 boxes for
every 16 boxes that Isaiah moves, then how many boxes can Isaiah move for every
box that Ellie moves?
Answer:
Isaiah can move 4 boxes for every box Ellie moves.
Pls give brainliest. :D
Write the word sentence as an equation. Then solve.
The sum of a number a and 12 is -6.
Answer:
a + 12 = -6 , a = -18
Step-by-step explanation:
Hi there!
the first half of the statement says “the *sum* of a number a and 12, so we can write that as a+12. The second half of the statement says that the sum of both of those values is -6, meaning that a + 12 = -6. Knowing this, we can now solve. In order to isolate a, subtract 12 from both sides of the equation. You will be left with a = -18.
Hope this helps!
can someone help me with this math problem?
Answer:
∠ B ≅ ∠ E
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent
ABC ≅ DEF
The corresponding angles are B and E
Answer:
The answer is [tex]\angle B\cong \angle E[/tex]
Step-by-step explanation:
Given that
[tex]\Delta ABC \cong \Delta DE[/tex][tex]F[/tex]
Hence corresponding angles are congruent
[tex]\angle B\cong \angle E[/tex]
Jordan made this design from three pieces of square shaped cloth. What is the total area of design Jordan made? EXPLAIN how u found your answer
Applying the area of a square, the total area of the design is: 116 cm²
Area of SquareA square has equal side lengths, s, this, the area of a square is given as: A = s².
The three pieces of square shaped cloth that Jordan made the design from is shown in the image attached below.
To find the total area of the design, find the area of each square shaped cloth and add all together.
Thus, applying the area of a square, the total area would be:
Total Area = 4² + 6² + 8²
Total Area = 116 cm²
Learn more about area of square on:
https://brainly.com/question/16758129
Please help my assignment
Alexandra was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 13%. What number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
x = Total meal cost
y = Total cost-plus tip
113% * x = y
Please help me on this!!! I would appreciate it so much!!!
Find the x- and y-intercepts of the parabola y=x2+4x−6.
graph y + 2 = -3/4 (x+4)
Answer:
Use a website called desmos and type in y=-3/4(x+4)-2
Step-by-step explanation:
1) isolate y by subtracting 2 on both sides
y=-3/4(x+4)-2
Answer:
Clue: two points : (0,-5) ( 4 , -8)
Step-by-step explanation:
Look at the graph.
A line with a slope of 2 passes through the point (6,4). What is its equation in
slope-intercept form?
Answer:
y=2x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-4=2(x-6)
y=2x-12+4
y=2x-8
20x^5 y^3 + 8x^6 y^3 - 4x^5 y^2
———————————————
4x^5 y^2
Answer:
1) 4x^{5} y^{2} (5y+2xy-1)
2) Implied to have no solution based on given context.
Step-by-step explanation:
Problem 1:
1) Find the Greatest Common Factor (GCF).
[tex]GCF=4x^{5} y^{2}[/tex]
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4x^{5}y^{2} (\frac{20x^{5} y^{3} }{4x^{5}y^{2} } +\frac{8x^{6}y^{3} }{4x^{5} y^{2} } +\frac{-4x^{5} y^{2} }{4x^{5} y^{2} } )[/tex]
3) Simplify each term in parentheses.
[tex]4x^{5} y^{2} (5y+2xy-1)[/tex]
Problem 2:
From the way the problem is given, there is no solution.
After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the first event, they raise $240, which is 10% of the total amount that they want to raise
Answer:
Step-by-step explanation:
The total they want to raise is $2,400 if that is what you're asking?
Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?
Answer:
$15,589
Step-by-step explanation:
Since it deteriorated 15%, it is now worth 85% of the original.
18340 * .85 = 15589
HELPPP PLS :)
find the value of x.
Answer:
9
Step-by-step explanation:
4x - 2 = 34 measure of two legs of isosceles triangle are equal
4x = 36
x = 9