Answer:
As per the graph, the function starts at point (0, -2) point it self not included.
The graph is extended down and right, so the given point is maximum of the function.
The domain:
x > 0 or x = (0, +∞)The range:
y < -2 or (- ∞, -2)Range
Set of y values
(-oo,-2)As -2 is not included (open dot)
Domain
Set of x values
(0,oo)0 is not included (open dot)
find the selling price if the cost price is rupees 600 and profit is 13%
Answer:
=2277 Ans.
Step-by-step explanation:
Find the selling price
(a) Cost =600
Profit=13%
Selling price =Cost + profit
=600+
100
600×13
=600+78
=678 Ans.
(b) Cost=2475, loss=8%
Selling price = Cost+ profit/loss
=2475+(−
100
2475×3
)
=2475−198
=2277 Ans.
Which of the following best describes the difference between simple and compound interest?
Simple interest is easier to calculate than compound interest.
Simple interest earns interest on the previous interest earned only.
Compound interest earns interest on the principal plus any previous interest earned.
Compound interest earns interest on the principal only.
Answer:
Compound interest earns interest on the principal plus any previous interest earned.
Step-by-step explanation:
compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest
The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
Option 3 is true.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
To defined best describes the difference between simple and compound interest.
Now, We know that;
Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.
Hence, The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
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What's the name of angle C thanks for the help :)
Answer:
Reflex angle
Step-by-step explanation:
Properties of reflex angles:
1). Any angle measuring between 180° and 360°.
2). Other side of the reflex angle is either acute or obtuse angle.
By these properties,
Since, angle C measures more than 180° but less than 360° and opposite angle is an acute angle.
By these properties angle C and angle D are the reflex angles.
What is the resulting integral?
Answer:
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Integration Constant C
U-Substitution
U-SolveIntegration 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]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]
Step 2: Identify Variables
Find the variables u-solve using u-substitution.
U-Substitution
[tex]\displaystyle u = 1 + \sqrt{x}[/tex]
[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]
U-Solve
[tex]\displaystyle x = (u - 1)^2[/tex]
[tex]\displaystyle dx = 2\sqrt{x}du[/tex]
Step 3: Integration
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Help pls!!!! Pls explain how you got the answer if you can!!! Have a blessed day
Also if you don’t know the exact answer answer and comments. And pls don’t waste my points this assignment is very important
Step-by-step explanation:
for perimeter you just add up all of the sides so :
(x+4) +( 2x)+(4x-2)+(3x-1) = 10x +1
Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5.7% over the previous year. Write an exponential function f(x) that models the tons of cherries produced by cherry hill orchards x years after 2012
A. f(x) = 500(1.057)^x
B. f(x) = 50(1.057)^x
C. f(x) = 500(0.057)^x
D. f(x) = 500(1.57)^x
Answer: A, f(x) = 500(1.057)^x
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A and B
Step-by-step explanation:
How do you find out if a number is an integer or not?
Answer:
Integers are any whole number negative or positive
Step-by-step explanation:
Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?
X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
Answer:
When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).
X (1,-1) --> X' (1,1)
Y (3,4) --> Y' (-4,3)
Z (5,-1) --> Z' (1,5)
The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).
Step-by-step explanation:
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
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What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
y=1/3x-3
y=-1/3x+3
y=3x+9
y=-3x+3
Answer:
Step-by-step explanation:
the correct answer of the question is y=x/3-3 b.c
m1.m2 = -1 But m1=-3
so -3.m2=-1
-3.m2/-3=-1/-3
m2=1/3 therefore
Y=1/3x-3
What is the value of a?
A can of paint is a right circular cylinder. The radius of the base is 5 centimeters and the height is 12 centimeters. Find the number of cubic centimeters of paint, in terms of π, contained in a full container.
Answer:
The answer is 300
The number of cubic centimeters of paint contained in the full jar container is n = 300 and the volume is V = 300π cm³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
The volume of a right circular cylinder can be calculated using the formula:
V = πr²h
where V is the volume, r is the radius of the base, and h is the height.
Substituting the given values, we have:
V = π(5 cm)²(12 cm)
V = π(25 cm²)(12 cm)
V = 300π cm³
Hence , a full container of paint contains 300π cubic centimeters of paint.
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plz help. I Need help with it
Answer:
O that easy just flip the sign for example - becomes + becomes-
this is an is simple trick I learn hope it helps you.
Step-by-step explanation:
so k goes to -3 j goes to -2
what is -4 * 7/10. please hlp!
Answer:
-4 * 7/10 = -2.8
Please help for today
Answer:
football and soccer looks right :)
Step-by-step explanation:
Calculate: Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
Answer:
29
Step-by-step explanation:
P=a+b+c=11+5+13=29
Please answer quick just super small explanation pls hurry quick for brainlessly answer
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Question
( 10 + 5x )7
Lets solve this easily.
So, basically, 10 + 5x is 15 but we still didn't
get rid of the x so therefore it's still 15x and then there's 7 so we multiply 15 x 7 giving us 105x.
Hence, the answer is.
(C), 70 + 35x is the answer.
what are the steps on finding common denominators. PLEASE HELP
Step-by-step explanation:
to find a common denominator, you have to find a number that "works" with every other number.
for example, say you have
2/4 and 8/12
First you need to find the common factor between 4 and 12, so list all your fours
4, 8, 12, 16, 20
Now list all your twelves
12, 24, 36, 48, 60
to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.
So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.
now think about what you would multiply 4 by, to get to 12. The answer is
4 x 3 = 12
to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6
now you have your answer,
2/4 and 8/12 turns into
6/12 and 8/12
and that's how you find it, let me know if you have questions :)
what is the answer to 1\2÷3
Answer:
1/6
Step-by-step explanation:
1/2÷3
1/2×1/3
1×1/2×3
1/2×3
1/6
Which equation describes the function in the table below?
Answer:
A
Step-by-step explanation:
So, first we have to eliminate answers, let us check A first. If we simplify this equation, it's basically saying Y is equal to 1.3 times X plus 10. So, 0 x 1.3 = 0 plus 10 = 10. Now we check the rest of the table. 5 x 1.3 = 6.5 + 10 = 16.5. 10 x 1.3 + 10 = 23. 15 x 1.3 + 10 = 29.5, and 20 x 1.3 = 26 + 10= 36. The math matches with the table so we're done.
Plz help! Pretty easy problems!
Answer:
The first is 9 sq.units
The second is 8 sq units
The third is 180mm squared
Step-by-step explanation:
What is 0.9 divide by 2.647
Answer:
0.340007556
Step-by-step explanation:
its correct
I WILL GIVE YOU 100 points and Braine at Math Properties of Equality, Part 2
For each expression, write an equivalent expression to show the
mathematical properties of equality.
Distributive Property:
6(m +4) = ?
Associative Property:
2 + (m + x) = ?
Commutative Property:
x + 3 = ?
Distributive Property:
3(2y - 6) = ?
Distributive Property:
m(y + 5) = ?
Answer:
1. 6(m + 4) = 6m + 24
2. 2 + (m + x) = (2 + m) + x
3. x + 3 = 3 + x
4. 3(2y - 6) = 6y - 18
5. m(y + 5) = my +5m
Step-by-step explanation:
1. Distributive property "distributes"/multiplies the 6 outside the parentheses to each term inside the parentheses.
2. Associative property deals with how terms and numbers are grouped into parentheses. The terms/numbers stay in the same order.
3. The commutative property means terms can change in order, and you will still get the same result.
4, 5. See #1 above. Distribute/multiply the number/term outside the parentheses to the numbers/terms inside.
Let me know if you have questions.
please help me if you know the answer
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=38°, and RS = 1.2 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
1.9
Step-by-step explanation:
2. Karen sells newspaper subscriptions. She earns $12 for each daily subscription and $4 for each Sunday- only subscription. How much will she earn if she sells 24 daily and 13 Sunday-only subscriptions in a week?
Your Answer;
❀♡ 12 x 24 + 4 x 13 = 340 ♡❀
Answer:
340
Step-by-step explanation:
Find slope of (2,3) and (-5,6).
Answer:
Slope is 3/-7
Step-by-step explanation:
[tex]slope = \frac{6 - 3}{ - 5 - 2} = \frac{3}{ - 7} [/tex]
(this is a practice question)
Answer:
<GHI = 135 degrees
Step-by-step explanation:
(3x + 12) + (x + 4) = 180
4x + 16 = 180
4x + 16 - 16 = 4x
180 - 16 = 164
4x = 164
4x / 4 = x
164 / 4 = 41
x = 41
3 * 41 + 12
3 * 41 = 123
123 + 12 = 135
Questão 11 - Um investidor aplicou
a quantia de R$ 500,00 em um fundo
de investimento que opera no regime
de juros simples. Após 6 meses o
investidor verificou que o montante
era de R$ 560,00. Qual a taxa de
juros desse fundo de investimento?
Answer:
A taxa de juros desse fundo de investimento é de 24% ao ano.
Step-by-step explanation:
Esta é uma questão que envolve juros simples.
A quantidade de juros acumulados depois de t anos é dado por:
[tex]J = P*r*t[/tex]
Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.
O montante é dado por:
[tex]M = J + P[/tex]
Um investidor aplicou a quantia de R$ 500,00.
Isso significa que [tex]P = 500[/tex]
Juros acumulados:
Montante era de R$ 560,00, o que significa que [tex]M = 560[/tex]
Então, a quantidade de juros acumulados é dada por:
[tex]M = J + P[/tex]
[tex]J = M - P = 560 - 500 = 60[/tex]
Taxa de Juros:
6 meses é meio ano, o que implica que [tex]t = 0.5[/tex]
Então
[tex]J = P*r*t[/tex]
[tex]60 = 500*r*0.5[/tex]
[tex]250r = 60[/tex]
[tex]r = \frac{60}{250}[/tex]
[tex]r = 0.24[/tex]
A taxa de juros desse fundo de investimento é de 24% ao ano.