Answer:
30
Step-by-step explanation:
solution
= (75*100)/250
= (7500)/250
= 7500/250
=30
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.
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
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 :)
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].
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Learn more about integration: https://brainly.com/question/21023287
Learn more about calculus: https://brainly.com/question/23558817
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
In what quadrant is the point (5,4)?
Step-by-step explanation:
1st quadrant
hope it helps you
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
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
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:
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
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
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.
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:)
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
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
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
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
pls show work
Thank youuu I’ll appreciate it <3
Answer:
x = 5
Step-by-step explanation:
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!
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:
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
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
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.
MATH QUESTION SCREEN SHOT DOWN BELOW
By rounding to one significant figure, estimate the answers to these questions:
a)
59 +25
b)
682
71
C)
91 x 18
58
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:
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
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.
find the product of 0.54x2.8
Answer:
The answer is 1.512
Step-by-step explanation:
0.54x2.8= 1.512
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 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)