Answer
The two numbers are 8 and 3 respectively.
Explanation
We are told that the sum of two numbers is 11 and their difference is 5.
We are then told to find the two numbers.
Let the two numbers be x and y respectively.
The sum of the two numbers is 11.
x + y = 11 .......... equation 1
The difference of the two numbers is 5.
x - y = 5 ............ equation 2
Combining the two equations
x + y = 11
x - y = 5
Adding up the two equations give
x + y + x - y = 11 + 5
2x = 16
Divide both sides by 2
(2x/2) = (16/2)
x = 8
If x = 8,
x + y = 11
8 + y = 11
y = 11 - 8 = 3
Hope this Helps!!!
You get brainist plz
Answer:
54
Step-by-step explanation:
54
PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE
find the sum for each and present - 66 + 42
-24
-66+42
=-24 since it is negative
Answer:24
Step-by-step explanation:
Type your answers into the boxes.
What are the next two numbers in this sequence?
45.7
46.2
46.7
47.2
Answer:
Step-by-step explanation:
Well, it seems like you're adding 5 each time so
45.7
46.2
46.7
47.7
48.2
48.7
What is the value of the expression (-2)5?
A. 32
B. 10
C. -10
D. -32
Answer:
C
Step-by-step explanation:
A negative multiplied by a positive is a negative.
Answer:
C. -10
Step-by-step explanation:
because 2 times 5 is 10 but if you have a negative 2 it will be negative 10
Find the arclength of the curve r(t) = ⟨ 10sqrt(2)t , e^(10t) , e^(−10t)⟩, 0≤t≤1
Answer:
\(\displaystyle AL = 2sinh(10)\)
General Formulas and Concepts:
Pre-Calculus
Hyperbolic FunctionsCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Derivative Rule [Chain Rule]: \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Exponential Differentiation
Integration
IntegralsIntegration Constant CDefinite IntegralsParametric Integration
Vector Value Functions
Vector IntegrationArc Length Formula [Vector]: \(\displaystyle AL = \int\limits^b_a {\sqrt{[i'(t)]^2 + [j'(t)]^2 + [k'(t)]^2}} \, dt\)
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle \vec{r}(t) = <10\sqrt{2}t , e^{10t} , e^{-10t} >\)
Interval [0, 1]
Step 2: Find Arclength
Rewrite vector value function: \(\displaystyle r(t) = 10\sqrt{2}t \textbf i + e^{10t} \textbf j + e^{-10t} \textbf k\)Substitute in variables [Arc Length Formula - Vector]: \(\displaystyle AL = \int\limits^1_0 {\sqrt{\bigg[\frac{d}{dt}[10\sqrt{2}t \textbf i]\bigg]^2 + \bigg[\frac{d}{dt}[e^{10t} \textbf j]\bigg]^2 + \bigg[\frac{d}{dt}[e^{-10t} \textbf k ]\bigg]^2}} \, dt\)[Integrand] Differentiate [Respective Differentiation Rules]: \(\displaystyle AL = \int\limits^1_0 {\sqrt{[10\sqrt{2} \textbf i]^2 + [10e^{10t} \textbf j]^2 + [-10e^{-10t} \textbf k]^2}} \, dt\)[Integrand] Simplify: \(\displaystyle AL = \int\limits^1_0 {\sqrt{200 \textbf i + 100e^{20x} \textbf j + 100e^{-20x} \textbf k}} \, dt\)[Integral] Evaluate: \(\displaystyle AL = 2sinh(10)\)Topic: AP Calculus BC (Calculus I + II)
Unit: Vector Value Functions
Book: College Calculus 10e
The cross-section of the prism below is a compound shape formed of two
rectangles.
Work out the volume of the prism.
Give your answer in cm³.
Answer:
V = 4(5)(7) + 6(5)(15) = 140 + 450 = 590 cm³
Caleb has twice as many cousins as amanda. Ruby has 5 cousins, which is 11 less than caleb has. How many cousins does amanda have?
Answer:
Amanda has 8 cousins
Step-by-step explanation:
Let C be the number of cousins Caleb has, A be the number of cousins Amanda has, and R be the number of cousins Ruby has:
\(C=2A\\R=5\\R=C-11\\\\R=C-11\\5=C-11\\16=C\\\\C=2A\\16=2A\\8=A\)
Therefore, Amanda has 8 cousins.
Answer:
Amanda has 8 cousins.
Step-by-step explanation:
Let's use algebraic variables to solve the problem.
Let's assume the number of cousins Amanda has is represented by 'A'.
Since Caleb has twice as many cousins as Amanda, the number of cousins Caleb has is '2A'.
And Ruby has 5 cousins, which is 11 less than what Caleb has, so the number of cousins Caleb has is '5 + 11 = 16'.
Equating the two expressions for the number of cousins Caleb has:
2A = 16
Now we can solve for 'A', the number of cousins Amanda has:
Divide both sides of the equation by 2:
A = 16 / 2
A = 8
Therefore, Amanda has 8 cousins.
Nora is decorating the outside of a box in the shape of a cube. The figure below shows a net for the box (Please Help)
Answer:
1314.24
Step-by-step explanation:
Find the following measure for this figure. Area of circle =
Answer:
36\(\pi\) square units
Step-by-step explanation:
Think about what you know about the civil service examinations. what else do you want to learn about what it was like to take these test? list some questions you have question 1 question 2 question 3
The Civil service exam focuses on grammar, vocabulary, spelling, word relationships and reading comprehension. You may be presented with problem-solving questions involving addition, subtraction, multiplication, and division.
Explain about Civil service examinations?
Civil service exams are exams administered in various countries for recruitment and admission to civil service. It is intended as a means to achieve effective and rational administration based on meritocracy for the purpose of recruiting politicians and civil servants.
Competitive tests are tests in which candidates are ranked by performance or percentile and top finishers are selected. If the exam is open for her n positions, the first her n candidates in line will pass and the rest will fail. It also serves as a university entrance examination such as a joint entrance examination and an entrance examination for secondary schools. The type is a civil service examination required for positions in the public sector. American Diplomat Examination and United Nations Competitive Examination. Competitive testing is considered an egalitarian way of selecting worthy applicants without the risk of influence, prejudice, or other concerns.
Therefore, The Civil service exam focuses on grammar, vocabulary, spelling, word relationships and reading comprehension. You may be presented with problem-solving questions involving addition, subtraction, multiplication, and division.
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187 is what percent of 275?
68%
Step-by-step explanation:Hi there !
275 ________ 100%
187 __________ x %
x = 187×100/275
= 18700/275
= 68%
Good luck !
easy! please help :( The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
Choosing which 2 books describes a pair of dependent events?
None of the chosen pairs will be dependent as nothing is specified.
What are dependent and independent events?Independent events are those events whose occurrence does not have any effect on the events that may occur or occurred.
Dependent events are those vents whose occurrence either depends on some other event or has an effect on occurring or occurred vents.
Given, The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
As not mentioned that what kind of book he chooses first or types of book.
Also which shelf he chooses first choosing the first book is independent
and choosing the second book is also independent so none of the chosen pair will be dependent.
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I need help with this question please with details
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
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AA.1 Solutions to inequalities P9N
Which of the following are solutions to the inequality below? Select all that apply.
3 ≤ 47
x = 24
Submit
x = 51
X = 6
X = 99
Answer: 3 ≤ 47
Step-by-step explanation:
The inequality given is 3 ≤ 47.
To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.
Looking at the options provided:
x = 24: This is not a solution because 24 is less than 47.
x = 51: This is a solution because 51 is greater than or equal to 47.
x = 6: This is not a solution because 6 is less than 47.
x = 99: This is a solution because 99 is greater than or equal to 47.
Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.
Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
2 qts for every 50 gal of water i just want to use 15 gal of water so how much do i use
The amount of qts to use for 15 gals is 0.6qts
Proportion and ratio
Ratio are written as quotient of 2 integers
Given that 2 qts for every 50 gal of water, this is written as;
2qts = 50 gals
In order to calculate for 15gal, we will have:
x = 15gals
Take the ratio
2/x = 50/15
50x = 30
x = 3/5
x = 0.6qts
Hence the amount of qts to use for 15 gals is 0.6qts
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
7+3 (2x - 5) = 3x +7
Which could be a step in solving the equation?
A. 10 (2x - 5) = 3x +7
B. 10 (2x + 2) = 3x + 7
O c. 7+ 6x - 15 = 3x + 7
OD. 7+ 5x – 2 = 3x + 7
b. Express the mass of 21,000 molecules of oxygen in scientific notation.
grams
(Type your answer using the appropriate number of significant digits. Type you
The mass of 21,000 molecules of oxygen in scientific notation is expressed as 1.1151 x \(10^{-28}\) grams in the proper significant digits.
What are Significant Digits?The number that is provided as digits is tried and established using significant figures. A meaningful representation of numbers is carried by these digits.
The crucial or important digits that can accurately represent the exact meaning of a certain number are known as the significant figures of that number.
Frequently, significant digits are employed in place of figures. By counting out each of the values beginning with the first non-zero digit on the left, we can use it to determine the number of significant digits.
The molecular mass of Oxygen is seen as 32 grams.
So, 6.023 x \(10^{23}\) molecules of oxygen have mass as 32 grams
So, one molecule of oxygen has mass = \(\frac{32}{6.023 * 10^{23}}\) grams
= 5.31 x \(10^{-23}\\\) grams
So, 21,000 molecules will have mass = 21,000 x 5.31 x \(10^{-23}\\\) grams
= 111510 x \(10^{-23}\\\) grams
= 1.1151 x \(10^{-28}\) grams
Thus 21000 molecules of oxygen have a mass of 1.1151 x \(10^{-28}\) grams.
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Help Two angles are supplementary. Their difference is 40° Find the measure of the angles.
Latonya swims 50 meters in 1/2 minute. What is the slope
Answer: 100
Step-by-step explanation: 50 x 1/2=100
Activity IB. FIND ME!
Find the area of each circle. Use = 3.14
3.
1.
2.
om
13cm
19in.
5.
33cm
25cm
yan paki sagot
Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.
a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.
3 per week + blank=8 Step-by-step explanation: brainly plz
PLEASE HELP QUICK
What is the simplified expression for the expression below?
–1(2x + 3) – 2(x – 1)
–4x + 1
–4x – 2
–4x + 2
–4x – 1
Answer:
-4x - 1
Step-by-step explanation:
i used a calculator and got that
suppose some variable x has a population mean of 20, a population standard deviation of 5, and a population size of 37. if a sample of 36 is drawn from this population, calculate the sample standard deviation
The required sample standard deviation for the population mean of 20, a population standard deviation of 5, and a population size of 37 is equal to 0.8333 (rounded to four decimal places).
Population mean = 20
Population standard deviation = 5
Population size = 37
Sample size = 36
The formula for the sample standard deviation is,
s = σ / √(n)
where s is the sample standard deviation,
σ is the population standard deviation,
And n is the sample size.
Plugging in the given values, we get:
s = 5 / √(36)
⇒ s = 5 / 6
⇒ s = 0.8333 (rounded to four decimal places)
Therefore, the sample standard deviation for the given data of population mean ,population standard deviation and population size is approximately 0.8333.
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For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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What is the product of the polynomials below?
(5x²-x-3)(2x+6)
OA. 10x² +28x² +12x+3
OB. 10x³ +28x2² -12x-18
OC. 10x²+28x²-12x-3
OD. 10x² +28x² + 12x+18
Answer: B
Step-by-step explanation:
\((5x^2 -x-3)(2x+6)\\\\=2x(5x^2 - x-3)+6(5x^2 - x-3)\\\\=10x^3 - 2x^2 - 6x+30x^2 - 6x-18\\\\=\boxed{10x^3 +28x^2 - 12x-18}\)
Two sides of a triangle have lengths 43 and 67. The angle included between these sides measures 27degrees°. To the nearest hundreth, what is the length of the third side?
The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.
1. We have a triangle with two known side lengths: 43 and 67 units.
2. The angle included between these sides measures 27 degrees.
3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.
4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).
5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.
6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.
7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.
8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.
9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.
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find the common ratio: 4, -16, 64, -256, ...
Answer:
you multiply by -4 each time.
Step-by-step explanation:
4 x -4= -16
-16 x -4 = 64
64 x -4 = -256
hope this helps
Answer:-4
Step-by-step explanation:
Trust me bro