Answer:
5773185
Step-by-step explanation:
There are 110 seats
110 ways to choose the first empty seat
Now there are 109 seats
109 ways to choose the next empty seat
Now there are 108 seats
108 ways to choose the next empty seat
Now there are 107 seats
110*109*108*107=138556440
Now the order of the empty seats doesn't matter so we need to divide by 4!
138556440/ 4!
138556440/ 24
5773185
two friends share 1/2 of a pizza equally. What fraction of the pizza does each friend get?
Answer:
1/4
Step-by-step explanation:
In this equation, from the beginning we know two things, that there are two people, and that the whole is 1/2
So we just have to divide! Use this equation whenever dealing with word problems like these and you’re stuck.
Amount of object (Pizza Size) divided by Number of Groups (People) = Amount of object in group
So our equation is 1/2 divided by 2
Calculate this and we will get our final answer of
1/4!
Hope this helped and please award brainliest!
which number comes next 10 7 11 12 9 13 14 ___
Answer:
11
Step-by-step explanation:
the pattern is
-3 +4 +1 -3 +4 +1
Jesse has five meters of twine and needs to cut it into lengths that are each 1/4 of a meter long. How many lengths will he have? Express this problem in a number sentence that uses division.
Answer:
20
Step-by-step explanation:
use the keep, change, flip method to solve fraction division
Please help
Use the distributive property to fill in the blanks below. 9x(7-2)=(_x7)-(_x2)
Answer:
9x(7-2)=(9x7)-(9x2)
Step-by-step explanation:
You're just multiplying 9 by the numbers inside the parenthesis... I hope this helps you :)
find the product of 0.54x2.8
Answer:
The answer is 1.512
Step-by-step explanation:
0.54x2.8= 1.512
MATH QUESTION SCREEN SHOT DOWN BELOW
Help please!! I know 4/9 is greater but what is the common denominator.
Answer: 36
Step-by-step explanation:
Just find the lowest common multiple of the denominators, which in this case are 4 and 9
You can just multiply 4 and 9 together so that gives you 36
Jose has 3/5 kilogram of prepped mints and 2/3 kilogram of candy canes. How many kilograms of candy does he have?
Answer:
1 4/15
Step-by-step explanation:
Fractions are added using a common denominator. When the denominators have no common factors, the least common denominator is their product.
[tex]\dfrac{3}{5}+\dfrac{2}{3}\\\\=\dfrac{3}{5}\cdot\dfrac{3}{3}+\dfrac{2}{3}\cdot\dfrac{5}{5}\\\\=\dfrac{9+10}{15}=\dfrac{19}{15}=\boxed{1\dfrac{4}{15}}[/tex]
Jose had 1 4/15 kilograms of candy.
Who Logarithmic equation is equivalent to the exponential equation below? e^4c=5
A. Log 5= 4x
B. In 5= 4x
C. Log 4x= 5
D. In 4x= 5
Step-by-step explanation:
option a 5 = 4x
please mark me as brainlist pleaseAnswer:
ln 5 = 4x
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 6x + 9 = 20
O A. X = 215 + 3
B. X = -2,5 - 3
O c. x= -1/3 + 20
O D. x = -2.75 +3
O E. x = 215 - 3
h
O F. X = _3 + 20
Find the missing value.
Hint: Use the number line to find the missing value.
-3=7-?
Answer:
X = 10
Step-by-step explanation:
-3=7-x
-7 -7
-10=-x
10=x
What is the volume of the
rectangular prism?
Answer:
We are already given the length of the prism, so now we need to find the height and width.
4 units across is the width, and 2 units up is the height
In order to find the volume of a rectangular prism we must multiply the length, width, and height.
In this case, 4 is our width, 2 is our height, and 7 is obviously our length.
Now let's multiply;
4 x 2 x 7 = 56 cubic centimeters
to make this easier to multiply we could also do
(4 x 2) x 7 or 4 x (2 x 7)
Seeta is organising a concert to raise money for a school and for a hospital.
A total of 1/20 of the money received from selling tickets will be spent on hiring a hall.
The rest of the money received from selling tickets will be given to the school and to the
hospital in the ratio 2 : 3.
Seeta expects to sell 1000 tickets at £23.50 each.
Work out the amount of money that Seeta expects to give to the school and to the
hospital.
You must show all your working.
Step-by-step explanation:
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase?
π(12in)2(3in) − 7(four over threeπ(1.5in)3)
π(3in)2(12in) − 7(four over threeπ(1.5in)3)
π(12in)2(3in) − 1.5(four over threeπ(7in)3)
π(3in)2(12in) − 1.5(four over threeπ(7in)3)
Answer:
Step-by-step explanation:
Vase:
h = 12 in
r = diameter/2 = 6/2 = 3 in
Volume of vase = πr²h
= π(3)²*12
Marbles:
r = 3/2 = 1.5 in
[tex]Volume \ of \ marbles = \dfrac{4}{3}\pi r^{3}\\\\\\Volume \ of \ 7 marbles=7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Volume of water = Volume of vase - volume of 7 marbles
[tex]= \pi (3)^{2}*12 - 7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Answer:
second choice
Step-by-step explanation:
the volume of water in the vase
= volume of the vase up to the height 12 inches - volume of 7 marbles
= π(6/2)²(12) - 7(4/3)π(3/2)³
so answer is the second choice
What is the area of this polygon ?
Answer:
51
Step-by-step explanation:
ΔABC: AC = 5 - (-1) = 6
height = (-1) - (-4) = 3
Area = 6*3/2 = 9
Rectangle ACDE, length AE = 6 - (-1) = 7
height DE = 5 - (-1) = 6
Area = 7 * 6 = 42
So the area of this polygon = 9 + 42 = 51
Please please someone help me with this question!!! math question !!!!
In the graph we can identify two local minimums, with values y = 0, and at the x-values:
x = -3 and x = 3.
What is a local minimum?For a function f(x), we define a local minimum on an interval (a, b) if for a value c ∈ (a, b), then:
f(c) ≤ f(x) ∀ x ∈ (a, b)
a) On the image we can see two local minimums (the two lowest points on the graph). The values of the minimums are both 0.
b) The values of x where we have the minimums are:
x = -3 and x = 3.
If you want to learn more about minimums, you can read:
https://brainly.com/question/2118500
Quadrilaterals LMNO and STUV are similar. What is the value of x in inches?
A. 27.1
B. 9.2
C. 22.9
D. 6.6
Answer:
D
Step-by-step explanation:
2.2 : x = 4.1 : 12.3
2.2/x = 4.1/12.3 = 1/3
so x = 2.2 * 3 = 6.6
D
Ashley painted 1/2 of her bathroom ceiling. Alex painted 1/4 of the ceiling in the school library. Who painted the larger fraction of their ceiling? Use a picture to demonstrate you answer.
Answer:
Ashley painted the larger fraction of their ceiling.
Step-by-step explanation:
I have no idea how large this ceiling is in this problem or what rate they are painting at; However, 1/2 is considered larger than 1/4.
Answer:
Ashley: 1/2 = 0.5
Alex: 1/4 = 0.25
0.25 < 0.5 Therefore Ashley painted more of their ceiling.
In what quadrant is the point (5,4)?
Step-by-step explanation:
1st quadrant
hope it helps you
How can 10% of 45 be used to determine 30% of 45?
Enter your answers in the boxes to correctly complete the sta
10% of 45 is
so 30% of 45 is
Answer: 10% of 45 is 4.5
So 30% of 45 is 13.5
Step-by-step explanation:
four properties of a trapezoid
Answer:
The bases are parallel to each other.
Angles next to each other sum up to 180°
The lower base angles are congruent.
The upper base angles are congruent.
Step-by-step explanation:
What is the missing reason?
Answer:
D
Step-by-step explanation:
you distribute the 2 to both numbers in the parentheses, and you get 2x+6=10 I HOPE THIS HELPS
Given the triangles are similar. Solve for x.
1st
3.5 cm
8.4 cm
2nd
2x cm
5 cm
Answer:
6
Step-by-step explanation:
By CSSTP,
2x/8.4 = 5/3.5
2x=(8.4)(5/3.5)
2x=12
x=6
pls show work
Thank youuu I’ll appreciate it <3
Answer:
x = 5
Step-by-step explanation:
By rounding to one significant figure, estimate the answers to these questions:
a)
59 +25
b)
682
71
C)
91 x 18
58
15. When working with the expression 6(2+.03) if we multiply first before adding, that is an example
of using the
property?
Answer:
Distributive Property
Step-by-step explanation:
If you multiply first,
6(2 + .03)
6•2 + 6•.03
You must multiply the 6 times BOTH of the terms inside the parenthesis.
This is using the Distributive Property.
Wah value of c makes the equation 15-8+c=11
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{c=4}}[/tex]
[tex]\mathbb{SOLUTION:}[/tex]
Hi! Hope you are having a nice day!
Let's solve the equation for c.
First, subtract 15 and 8:
15-8+c=11
7+c=11
We can actually solve this equation using mental maths.
7+4=11, right? :)
Hope you could comprehend everything.
#CarryOnLearning
Evaluate the integral. (Use C for the constant of integration.)
2x^2+ 5x + 2/(x² + 1)2 dx
Answer:
[tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x - \frac{5}{2(x^2 + 1)} + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration 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 Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Method: U-Substitution
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite [Factor]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2(x^2 + 1) + 5x}{(x^2 + 1)^2}} \, dx[/tex]Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2(x^2 + 1)}{(x^2 + 1)^2}} \, dx + \int {\frac{5x}{(x^2 + 1)^2}} \, dx[/tex][Left Integral] Simplify: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2}{x^2 + 1}} \, dx + \int {\frac{5x}{(x^2 + 1)^2}} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \int {\frac{1}{x^2 + 1}} \, dx + 5 \int {\frac{x}{(x^2 + 1)^2}} \, dx[/tex][Left Integral] Trigonometric Integration: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + 5 \int {\frac{x}{(x^2 + 1)^2}} \, dx[/tex]Step 3: Integrate Pt. 2
Identify variables for u-substitution for the remaining integral.
Set u: [tex]\displaystyle u = x^2 + 1[/tex][u] Differentiate [Derivative Properties and Rules]: [tex]\displaystyle du = 2x \ dx[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \int {\frac{2x}{(x^2 + 1)^2}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \int {\frac{1}{u^2}} \, du[/tex]Apply Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \bigg( \frac{-1}{u} \bigg) + C[/tex][u] Back-substitute: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \bigg( \frac{-1}{x^2 + 1} \bigg) + C[/tex]Simplify: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x - \frac{5}{2(x^2 + 1)} + C[/tex]∴ the integration of the given integral [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx[/tex] is equal to [tex]\displaystyle \bold{2 \arctan x - \frac{5}{2(x^2 + 1)} + C}[/tex].
---
Learn more about integration: https://brainly.com/question/21023287
Learn more about calculus: https://brainly.com/question/23558817
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
How many oranges does Heidi need to make one large orange
juice? Show your work.
Answer:
Heidi needs to make 9 oranges to make one large orange juice, give me brainliest answer:)
Consider the work sample and statements below. Select ALL that apply.
Answer:
A, B, D, F
Step-by-step explanation:
The work of solving the standard-form equation that is the difference of squares is properly shown except for Line 4. Statement [F] correctly describes the proper solution, which results in the solution set shown in Statement [B].
The first step was necessary to put the equation into standard form (Statement [D]). That form is the difference of squares (Statement [A]).
The statements that correctly describe the work are A, B, D, F.