A rectangle is of length l cm and breadth b cm. The length of the rectangle is decreased by 10 cm and the breadth is doubled. What is the perimeter of the new rectangle?
Answers
The perimeter of the new rectangle is given by the expression 2l + 4b - 40 cm.
Given that a rectangle is of length l cm and breadth b cm.
The length of the rectangle is decreased by 10 cm, therefore the new length of the rectangle = l - 10 cm.
The breadth is doubled, therefore the new breadth of the rectangle = 2b cm.
The perimeter of the rectangle is given by;
Perimeter = 2(l+b)
Let's substitute l - 10 for the new length and 2b for the new breadth to get;
Perimeter = 2(l-10+2b)
Perimeter = 2(l+2b-20)
Perimeter = 2l+4b-40
Therefore the perimeter of the new rectangle is 2l + 4b - 40.
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Related Questions
Use cylindrical coordinates.
Find the volume of the solid that lies within both the cylinder
x^2 + y^2 = 4
and the sphere
x^2 + y^2 + z^2 = 9.
Answers
The volume of the solid that lies within both the cylinder is 4π/3
We can use cylindrical coordinates to solve this problem. In cylindrical coordinates, we have:
x = r cos θ
y = r sin θ
z = z
The equation of the cylinder is:
x^2 + y^2 = 4
Substituting in the expressions for x and y, we get:
r^2 cos^2 θ + r^2 sin^2 θ = 4
r^2 = 4
So the cylinder has radius 2 and height h.
The equation of the sphere is:
x^2 + y^2 + z^2 = 9
Substituting in the expressions for x and y, we get:
r^2 + z^2 = 9
So the sphere has radius 3.
To find the volume of the solid that lies within both the cylinder and the sphere, we need to integrate the function 1 over this region:
V = ∫∫∫ dV
In cylindrical coordinates, the volume element is:
dV = r dr dθ dz
The limits of integration are:
0 ≤ r ≤ 2
0 ≤ θ ≤ 2π
-√(9 - r^2) ≤ z ≤ √(9 - r^2)
So we have:
V = ∫∫∫ dV
V = ∫₀² ∫₀²π ∫_{-√(9 - r^2)}^{√(9 - r^2)} r dz dθ dr
V = ∫₀² ∫₀²π 2r√(9 - r^2) dθ dr
V = 2π ∫₀² r√(9 - r^2) dr
We can make the substitution u = 9 - r^2, du = -2r dr, and write:
V = -π ∫₉¹ √u du
V = -π [2/3 u^(3/2)]₉¹
V = -π [2/3 (9 - 1/3)]
V = 4π/3
So the volume of the solid that lies within both the cylinder and the sphere is 4π/3.
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if Devaughn is 13 years older than Sydney. and The sum of their ages is 67 what is sydney's age
Answers
Answer:
27
Step-by-step explanation:
Sydney's age = x
x + 13 = Sydney's age
67 - 13 = 54
54 divided by 2 = 27
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000. Which function represents the annual salary for total sales of x dollars, where x is greater than $250,000? A) S(x) = 3,000 + 0.025(x – 250,000) B) S(x) = 3,000 + 2.5(x – 250,000) C) S(x) = 12(3,000) + 0.025(x – 250,000) D) S(x) = 12(3,000) + 2.5(x – 250,000)
Answers
Answer:
answer is c.
I got it right on edge
Function S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.
Given that,
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000.
To determine which function represents the annual salary for total sales of x dollars, where x is greater than $250,000.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
According to the question,
annual salary be S
S(x) = annual base salary + annual bonus earned
S(x) = 12 * 3000 + 0.025x (where x is > $250,000)
Thus, function S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.
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What is the name of the green segment in the hyperbola below
Answers
The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.
In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.
The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.
The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.
The blue segment is the conjugate axis, and it is represented by the letters "2b".
Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.
If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.
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Emily can read 30 pages in 45 minutes. At this rate, how many pages
will she read in 3 hours?
Answers
60x3=180(Number of minutes in 3 hours)
180/45=4
4x30=120
The sum of 24 and 3 times a number y is equal to 56
Answers
Answer:
Step-by-step explanation:
24+3y=56 solve for y, subtract 24 from each side
3y=32 divide each side by 3
y=32/3
Answer:
y=32/3
Step-by-step explanation:
let the number be y, then
24+3y=56 solve for y, subtract 24 from each side
3y=32 divide each side by 3
y=32/3
what is the ans
1. Add : 12a²b², -7a²b² , and 9a²b²
2. Subtract : -5y² from y²
need a well explained ans :)
no spams , unwanted ans and plagiarism
kindly stay out if u don't know the ans
Answers
1. 12a²b² + -7a²b² + 9a²b²
= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.
= 14 (ab)² (you can write like this too because both a & b are squared).
2. y² - (-5y²)
= 6y² (subtract -5 from 1, y² is the like term).
What do I out in the other box? Giving brainiest
Answers
Answer:
0 in both boxes
Step-by-step explanation:
7
Mr. Jones filled his swimming pool with water.
• Mr. Jones began filling the pool at a constant rate.
He turned off the water for a while.
He then turned the water back on at a slower constant rate.
• Mr. Jones turned off the water again for a while.
• He then turned the water back on at the first rate.
Which graph best represents Mr. Jones filling the pool?
SU
Answers
Answer:
A??
Step-by-step explanation:
Its none of the graphs I am seeing which I can only see B C D so I don't know what graph A is, so I am going to say graph A
if i wanted to make a 40,000 payment in one year with a 5% annual interest rate, how much should i invest now?
Answers
Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952
By the congruent complements theorem, which angle is congruent to angle4? angle1 angle2 angle3 angle5
Answers
From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1 .
The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.
The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.
Which proves that : ∠1 and ∠4 are complimentary to the same angle that is ∠5.
Therefore, the ∠ 1 is congruent to angle 4 .
The given question is incomplete , the complete question is
From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?
(a) angle1
(b) angle2
(c) angle3
(d) angle5
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Write an equation in point slope form of the line that passes through the point -4, 5 and has the slope of one.
Answers
Answer:
y - 5 = x + 4
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line
Plug in the given point and slope:
y - y1 = m(x - x1)
y - 5 = 1(x + 4)
Simplify:
y - 5 = x + 4
So, the point slope form of the line is y - 5 = x + 4
Can someone help with this question for math pls
Answers
Answer:
To evaluate the expression (-(7)/(10)+0.15)/(-(1)/(8)), we need to simplify it step by step by following the order of operations (PEMDAS)
Parentheses: First we need to simplify the expressions inside the parentheses,
(7)/(10) = -0.7
-(1)/(8) = -1/8
Addition and Subtraction: Next we need to add and subtract the numbers,
-0.7 + 0.15 = -0.55
Division: Next we need to divide the numbers,
(-0.55) / (-1/8) = -0.55 * 8/-1 = 4.4
So the final result is 4.4
Note that the negative signs in the numerator and denominator can be thought as multiplying by -1.
Chapter 9 TRP 9-1 Assume the taxpayer does NOT wish to contribute to the Presidential Election Fund, unless otherwise stated in the problem. Assume all taxpayers did NOT receive, sell, send, exchange, or otherwise acquire any financial interest in any virtual currency during the year. Juliette White is a head of household taxpayer with a daughter named Sabrina. They live at 1009 Olinda Terrace, Apartment 5B, Reno, NV 78887. Juliette works at a local law firm, Law Offices of Dane Gray, and attends school in the evenings at Reno Community College (RCC). She is taking some general classes and is not sure what degree she wants to pursue yet. She is taking three units this semester. Full-time status at RCC is nine units. Juliette’s mother watches Sabrina after school and in the evenings (no charge) so that Juliette can work and take classes at RCC. Social security numbers are 412-34-5670 for Juliette and 412-34-5672 for Sabrina. Their birth dates are as follows: Juliette, 10/31/1988; and Sabrina, 3/1/2013
Answers
Juliette's tax situation will depend on the specifics of her income and expenses for the year.
Based on the information provided in Chapter 9 TRP 9-1, we can determine that Juliette White is a head of household taxpayer with a dependent daughter named Sabrina. She works at a law firm and attends school at Reno Community College in the evenings. Juliette's mother watches Sabrina after school and in the evenings at no charge.
It is assumed that Juliette does not wish to contribute to the Presidential Election Fund and that she did not acquire any financial interest in any virtual currency during the year.
To file her taxes, Juliette will need to gather her income information from her job at the law firm and any financial aid or scholarships she received for attending RCC. She will also need to provide information on any other income sources she may have, such as interest earned on savings accounts or investment income.
As a head of household taxpayer, Juliette may be eligible for certain tax credits and deductions, such as the Child Tax Credit or the Earned Income Tax Credit. She will also need to provide information on any deductions she is eligible for, such as student loan interest or tuition and fees paid for attending RCC.
Overall, It is important that she accurately reports all of her income and deductions to ensure that she pays the correct amount of taxes and avoids any penalties or fines.
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Help!! Me!! Please!!
Answers
Answer:
13 and 14
Step-by-step explanation:
the square root of 182 is 13.49 which would lie between 13 and 14
Any answers for this?
Answers
Answer:
D(t) = 2,280 - 60t
for D(15) compare the eqns and substitute the value of t.
D(15) = 2,280 - 60(15)
D(15) = 1,380 miles.
In the context of the qn, the Chang family travels 1,380 miles in 15 hours.
Point G(3,4) and H(-3, -3) are located on the coordinate grid. What is the distance between point G and point H?
Answers
Answer:
Step-by-step explanation:
a. esteban-perez and j. m. morales ´ , distributionally robust stochastic programs with side information based on trimmings, mathematical programming, (2022).
Answers
Distributionally robust stochastic programs with side information based on trimmings
This is a research paper whose authors are Adrián Esteban-Pérez and Juan M. Morales.
Abstract:
We look at stochastic programmes that are conditional on some covariate information, where the only knowledge of the possible relationship between the unknown parameters and the covariates is a limited data sample of their joint distribution. We build a data-driven Distributionally Robust Optimization (DRO) framework to hedge the decision against the inherent error in the process of inferring conditional information from limited joint data by leveraging the close relationship between the notion of trimmings of a probability measure and the partial mass transportation problem.We demonstrate that our technique is computationally as tractable as the usual (no side information) Wasserstein-metric-based DRO and provides performance guarantees. Furthermore, our DRO framework may be easily applied to data-driven decision-making issues involving tainted samples. Finally, using a single-item newsvendor problem and a portfolio allocation problem with side information, the theoretical findings are presented.Conclusions:
We used the relationship between probability reductions and partial mass transit in this study to give a straightforward, yet powerful and creative technique to expand the usual Wasserstein-metric-based DRO to the situation of conditional stochastic programming. In the process of inferring the conditional probability measure of the random parameters from a limited sample drawn from the genuine joint data-generating distribution, our technique generates judgments that are distributionally resilient to uncertainty. In a series of numerical tests based on the single-item newsvendor issue and a portfolio allocation problem, we proved that our strategy achieves much higher out-of-sample performance than several current options. We backed up these actual findings with theoretical analysis, demonstrating that our strategy had appealing performance guarantees.To learn more about probability, visit :
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Let f(x) = 5x3 − x2 − 60x + 12 and g(x) = 5x − 1. Find f of x over g of x.
A. x2 − 12
B. 5x2 + 4x
C. x2 − 12x
D. 5x2 + 4
Answers
(5x^3 - x^2 - 60x + 12)/(5x-1)
First, I’m going to factor the top. I’m going to factor by grouping.
The GCF of 5x^3 - x^2 is x^2. I pull x^2 out and am left with x^2(5x-1)
The GCF of 60x-12 is 12. I pull out 12 and am left with -12(5x-1). The fully factored expression looks like this:
(x^2-12)(5x-1)
I am now left with (x^2-12)(5x-1)/5x-1.
The 5x-1s cancel out. I am left with x^2 - 12
Answer:
I would say A
Step-by-step explanation:
Omg I need help on this
Answers
Answer:
y = -3x - 5
Step-by-step explanation:
Using the graph below solve the quadratic equation: x²+x-6- 0
Answers
Answer:
B. x = -3 or x = 2
Step-by-step explanation:
evaluate (105-15)square
Answers
Answer:
14400
Step-by-step explanation:
(105-15)²
We will solve it with Identity:
(a-b)² = a²+2ab-b²
So,
105²+ 2(105)(15)+15²11025+ 2(1575) +22511025+3150+22514400help me pls
me has tried
Answers
The natural polymers are matched with their uses as;
Natural rubber; Option 2
Starch; Option 4
Silk; Option 5
DNA; Option 3
Cellulose; Option 1
What are natural polymers?Natural polymers are simply defined as materials that are wide spread in nature or are also extracted from plants or animals.
Different natural polymers like silk, DNA, cellulose, starch, natural rubber have their distinct uses.
Cellulose is mostly used in veterinary foods, wood, paper, clothes, cosmetic and also in pharmaceutical industries for drug production. Silk is used for clothing such as shirts, suits, ties, blouses.DNA is used for inheritance, coding for proteins, and also for providing instructions for life.Starch is used in food production.Natural rubber is mostly used for rubber production.Learn about natural polymers at: https://brainly.com/question/13939101
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How to do 22.3 x 1.8 step by step please.
Answers
Answer:
22.3 x 1.8 = 40.14
Step-by-step explanation:
22.3
x 1.8
________
1784
2230
________
40.14
Answer:
40.14
Step-by-step explanation:
22.3
× 1.8 ← Forget about the decimal places and multiply by the one's place.
1 7 8 4
2 2 3 0 ← Put a 0 to hold the one's place and multiply 223 by ten's place.
4 0 . 1 4 ← Add those 2 numbers and keep 2 decimal places.
12/14 36/40 in simplest form
Answers
Answer:
6/7
9/10
those will be your answers
3(x-8)-2(10-x)>5(x-1)
Answers
Answer:
Any real number will work for x
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Answers
Answer:
25
Step-by-step explanation:
c^2=a^2+b^2
where c = hypotenuse
so, x^2 = 24^2+7^2
x^2 = 576 + 49
x^2 = 625
x = square root of 625
x = 25
24x24 + 7x7 = 625
Square root of 625 is 25
Differentiation Consider The Following Expression For Y: Y(X) = 2V*-1. Solve For Symbolically. Store Your Result In A Variable Firstder, which should be a sympy expression.?
Answers
To differentiate the expression Y(X) = 2V*-1, we can use the power rule of differentiation. First, we need to consider that V* is a variable and treat it as a constant when differentiating with respect to X.
So, differentiating the expression Y(X) = 2V*-1 with respect to X, we get:
dY/dX = d/dX (2V*-1)
= 2dV*/dX
We can simplify this expression by storing the result in a variable called "firstder":
import sympy as sp
Vstar = sp.Symbol('V*')
X = sp.Symbol('X')
firstder = 2*sp.diff(Vstar,X)
Now, the variable "firstder" contains the symbolic expression for the derivative of Y with respect to X.
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a local salesman receives a base salary of $875 monthly. he also receives a commission of 10% on all sales over $1800. how much would he have to sell in a month if he needed to have a monthly income of $1500?
Answers
The total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.
What is termed as the sales commission?Sales commission is indeed the amount of cash as well as money paid to salespeople for exceeding a predetermined sales target. For instance, a company may agree to pay it's own salespeople a 4% commission on monthly sales exceeding Y.The total monthly earnings for salespeople can be calculated as follows:
Monthly salary = base salary + sales commission
Given that what a local salesman generates a base salary of $875 and a 10% sales commission on any and all sales above $1,800, the salesman must make the following sales in order to earn $1500 in a given month:
Let the sales done by 'x'.
Then,
875 + 7% (x - 1800) = 1500
875 + (7/100) (x - 1800) = 1500
7(x - 1800) = 62500
x - 1800 = 8928.7
x = 894657.14
Thus, the total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.
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(5x10^7)+(1x10^6)
Answer is Scientific Notation
Answers
Answer:
5.1 × 10^7
look up scientific calculator :)