Answer:
\(110.5^{2}\)
Step-by-step explanation:
first lets devide this into two like lets make it a rectangle and a triangle. so the area for the rectriangle is 5 x 13 = 65.
then the the area of the triangle is 7 x 13 divide by 2 = 45.5
i got the seven as height is when i substract 5 from 12
so now add both 65 + 45.5 = 110.5
What is the probability of spinning a number less than 5?
The probability of spinning a number less than 5 is 2/3.
To find the probability of spinning a number less than 5, we need to know how many possible outcomes there are and how many of them are less than 5.
The probability of an event occurring is the ratio of the number of ways the event can happen to the total number of possible outcomes.
There are a total of 6 possible outcomes when spinning a number from 1 to 6 on a standard die, which are: 1, 2, 3, 4, 5, 6.
Out of these, there are four outcomes which are less than 5, which are: 1, 2, 3, 4.
Thus, the probability of spinning a number less than 5 is 4/6 or 2/3 (in simplified form).
Therefore, the probability of spinning a number less than 5 is 2/3.
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Complete question is,
What is the probability of spinning a natural number and a number less than 5?
a standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 1313 cards (ace, two through ten, jack, queen, and king) for a total of 5252 cards in all. 1) how many cards in the deck are either a jack or a heart?
The number of cards in the deck are either a jack or a heart are 17.
What is card deck?
A playing card is a specially made piece of card stock, heavy paper, thin cardboard, paper coated with plastic, cotton-paper blend, or thin plastic that is imprinted with distinctive motifs. To make handling easier, each card frequently has a finish on the front and back.
Given:
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all.
We have to find the number of cards in the deck are either a jack or a heart.
Since, there are four Jack in a 52 card deck.
So, one jack can be chosen by 4C1 ways.
Also there are 13 cards of hearts in a 52 card deck.
So, one heart can be chosen by 13C1 ways.
The number of ways = 4C1 + 13C1 = 4 + 13 = 17.
Hence, the number of cards in the deck are either a jack or a heart are 17.
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What is NOT a way to write 52 + 80? 50 + 2 + 80 (50 + 80) + 2 50 + 80 + 2 + 8 50 + 2 + 80 + 0
Answer: 52-80
Step-by-step explanation:
Answer:
52-80
Step-by-step explanation:
For the following function, find the Taylor series centered at x= 2πand then give the first 5 nonzero terms of the Taylor series and the open interval of convergence. f(x)=cos(x) .f(x)=∑ n=0[infinity]f(x)=? The open interval of convergence is: (Give your answer in interval notation.)
The open interval of convergence for the function f(x) = cos(x) with Taylor series centered at x = 2π is equal to (-∞, ∞).
To find the Taylor series centered at x = 2π for the function f(x) = cos(x),
Use the Maclaurin series expansion of the cosine function.
The Maclaurin series expansion for cos(x) is,
cos(x) = Σ (-1)ⁿ × (x²ⁿ) / (2n)!
Let us find the first five nonzero terms of the Taylor series expansion,
n = 0
(-1)⁰ × (x²⁰) / (20)!
= 1 / 0!
= 1
n = 1
(-1)¹ × (x²¹) / (21)!
= -x² / 2!
n = 2
(-1)² × (x²²) / (22)!
= x⁴ / 4!
n = 3
(-1)³ × (x²³) / (23)!
= -x⁶ / 6!
n = 4
(-1)⁴ × (x²⁴) / (24)!
= x⁸ / 8!
So, the first five nonzero terms of the Taylor series centered at x = 2π for f(x) = cos(x) are,
f(x) = 1 - (x - 2π)² / 2! + (x - 2π)⁴ / 4! - (x - 2π)⁶ / 6! + (x - 2π)⁸ / 8!
Now let us determine the open interval of convergence for this Taylor series.
The Maclaurin series expansion of cos(x) converges for all values of x.
Therefore, the open interval of convergence for the given Taylor series centered at x = 2π is equal to (-∞, ∞).
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what is -2x+38.5=-9x+14
Answer:
=-3.5
Step-by-step explanation:
Subtract 38.5 from both sides of the equation then Simplify, lastly you Add
9
to both sides of the equation
You went to BW3, your total bill was $56.47, if you want to give an 18% tip, what's your final bill?
Answer:
The answer is 66.6346 round it to what ever place you need to.
Step-by-step explanation:
Take the 56,47, multiply it by .18, and add that value to 56.47 Hope it helps
effective leaders understand leadership is about both relationships and tasks. an effective leader is able to ______.
An effective leader is able to balance and integrate both relationship-building and task-oriented aspects of leadership.
Effective leaders recognize that leadership is not solely about achieving tasks and goals; it also involves building and maintaining strong relationships with their team members.
They understand that establishing positive relationships is crucial for fostering trust, collaboration, and engagement within the team.
By prioritizing relationships, effective leaders create a supportive and inclusive work environment where individuals feel valued, heard, and motivated to contribute their best.
At the same time, effective leaders also understand the importance of accomplishing tasks and achieving organizational goals.
They possess the ability to set clear objectives, delegate responsibilities, and monitor progress to ensure that tasks are completed efficiently and effectively.
They are skilled at organizing resources, making decisions, and providing guidance to their team members, all while maintaining a focus on the desired outcomes.
The key to being an effective leader lies in the ability to balance and integrate both relationship-building and task-oriented aspects of leadership.
This means recognizing that strong relationships contribute to improved teamwork, communication, and employee satisfaction, which in turn enhance overall performance and productivity.
By acknowledging and valuing both dimensions, effective leaders create a harmonious work environment that fosters growth, success, and the well-being of both individuals and the organization as a whole.
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Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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Write the Standard Form of the line with x-intercept of 3 and y-intercept of 4.
Answer:
Use a model to find the sum of two fractions with the same denominator
Add fractions with a common denominator without a model
Add fractions with a common denominator that contain a variable h
Step-by-step explanation:
h
PLEAse i need help brainlist if u get it right
Answer:
C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.
Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.
Karma worked for 7 1/2h. She spent 2/3of the time on her computer. How long was she on her computer?
Answer:
Karma worked for 7 1/2 hours. She spent 2/3 of the time on her computer. To find out how long she was on her computer, we can multiply the total time she worked by the fraction of time she spent on her computer.
Step-by-step explanation:
7 1/2 hours * 2/3 = (15/2) * (2/3) = 30/6 = 5 hours.
Therefore, Karma was on her computer for 5 hours.
Answer:
5
Step-by-step explanation:
We want to multiply a mixed number by a fraction.
7 1/2 * 2/3
Change the mixed number to an improper fraction.
(2 * 7 + 1)/2 = 15/2
15/2 * 2/3
Simplify.
15/3 * 2/2
5 * 1
5
El conjunto de 10 centenas de mil es igual a _________ unidades El conjunto de 10 decenas de mil es igual a __________ unidades
Answer:
10 centenas de mil = 1000.000 unidades.
Step-by-step explanation:
Recordemos que 10 centenas es igual a 1000 unidades
Ahora, 10 centenas de mil seria un millon de unidades
Osea, 1000.000 unidades.
Espero te haya servido.
Q2. [6 POINTS) Consider the following two functions: f:(R>o Ryo) →R 9:(R>o n) → (R>o < Ryo) f(a,b) = 2:6-1 g(a,b) = (a,b) (a) Is f injective? If so, prove it; otherwise, give a concrete counterexample and briefly explain. (b) Is g injective? If so, prove it; otherwise, give a concrete counterexample and briefly explain. (c) Is f surjective? If so, prove it; otherwise, give a concrete counterexample and briefly explain. (d) Is g surjective? If so, prove it; otherwise, give a concrete counterexample and briefly explain.
a) No, f is not injective.
b) Yes, g is injective.
c) No, f is not surjective.
d) Yes, g is surjective.
(a) Is f injective?
No, f is not injective. A counterexample is f(1,2) = 2 * (1 - 1) = 0 and f(2,2) = 2 * (2 - 1) = 0. Since f(1,2) = f(2,2), the function is not injective.
(b) Is g injective?
Yes, g is injective. To prove this, let's assume g(a1, b1) = g(a2, b2). This means (a1, b1) = (a2, b2), which implies a1 = a2 and b1 = b2. Therefore, g is injective.
(c) Is f surjective?
No, f is not surjective. For example, consider the number 1 in the codomain R. There is no pair (a, b) in the domain such that f(a, b) = 1 because 2 * (a - b) must be an even number.
(d) Is g surjective?
Yes, g is surjective. To prove this, let (c, d) be any element in the codomain. Then g(c, d) = (c, d), so there exists an element in the domain for every element in the codomain. Thus, g is surjective.
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What set of numbers is arranged from largest to smallest? (Mind the blue on one of the answers)
Answer:
B
Step-by-step explanation:
it orders the negative things in the top right correctly because the bigger the negative number in the top right the lower the number is aka the greater of a negative number there is
What is the value of x in the equation: 3x – 5x + 10 = 36
Answer:
-13
Step-by-step explanation:
3x-5x+10=35
-2x+10=36
-2x=36-10
-2x\-2=26\-2
x=-13
A pairs of fair dice is tossed . What is the probability of not getting a sum 5 or 9 ?
Answer:
28/36 or 7/9
Step-by-step explanation:
there are 36 possible answers
4 of them equal 5 (1+4, 2+3, 3+2, 4+1)
4 of them equal 9 (3+6, 4+5, 5+4, 6+3)
8-36 = 28
16 days 5 hours 23 minutes. how many minutes and hours come out in total?
Answer:
389 hours and 23 minutes
Step-by-step explanation:
16x24=384
384+=5=389
and 23 minutes
what is the radius and circumference for this problem?
primarily involves modifying programs to meet new business needs, but also debugging of errors that were not detected when testing the developed code.
Maintenance primarily involves modifying programs to meet new business needs, but also debugging of errors that were not detected when testing the developed code.
Preventive maintenance schedules can be regular or periodic (time-based). When an issue is discovered, corrective maintenance is performed. Maintenance is predetermined and follows a factory schedule. Condition-based maintenance occurs when a situation or condition indicates the need for maintenance.
What is modifying a program?
A program modification is defined as a programmatic change that does not clearly qualify as a new program or a nonsubstantive change, such as a new program composed primarily of course work from a previously approved program; an approved program to be offered at an off-campus location; a change in the.
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Full Question:_____ primarily involves modifying programs to meet new business needs, but also debugging of errors that were not detected when testing the developed code.
find the direction cosines and direction angles of the vector. (give the direction angles correct to the nearest tenth of a degree.)
The direction cosines and direction angles will be - \(\frac{x}{r},\frac{y}{r},\frac{z}{r}\) and
cos⁻¹(\(\frac{x}{r}\)), cos⁻¹(\(\frac{y}{r}\)),cos⁻¹(\(\frac{z}{r}\)) respectively.
The direction cosines of a specified vector, m = xi + yj + zk, are the cosines of the angles it makes well with x, y, and z axes.
The direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively, if a forms the angles a,b and c (which are the direction angles) with the x, y, and z axes, respectively.
Let us consider equation as = \(xi + yj +zk\)
vector of the equation will be - (x,y,z)
r = length of vector = \(\sqrt{x^{2} +y^{2} +z^{2} }\)
The direction cosines will be -
\(\frac{x}{r},\frac{y}{r},\frac{z}{r}\)
angles will be - cos⁻¹(\(\frac{x}{r}\)), cos⁻¹(\(\frac{y}{r}\)),cos⁻¹(\(\frac{z}{r}\))
Let us consider an example,
If we have vector as (1,2,3)
= i + 2j + 3k
= r = \(\sqrt{1^{2} +2^{2} +3^{2} }\)
= \(\sqrt{14}\)
Direction cosines will be -
\(\frac{1}{\sqrt{14} } , \frac{2}{\sqrt{14} }, \frac{3}{\sqrt{14} }\)
Angles will be -
cos⁻¹(\(\frac{1}{\sqrt{14} }\)), cos⁻¹(\(\frac{2}{\sqrt{14} }\)),cos⁻¹(\(\frac{3}{\sqrt{14} }\))
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Solve correctly for brainliest
Answer:
hope you like my answer is 75a²xy⁴
Answer:
See below.
Step-by-step explanation:
5x^2 y a y
3a y x^2
Can be written as:
5x^2 y^2 a + 3a y x^2
Add like terms:
5ax^2y^2 + 3ax^2y
The sum is 5ax^2y^2 + 3ax^2y
The sum has more than one term, so the sum is not a monomial.
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All contains two distinct points,C and D. Select each statement.
4. Using the figure below, find the area of the circle. 10 cm
Answer:
we need the full picture of the circle to see if 10 cm is only half or not
please help me
thanks
..no lo sé, pero como necesito puntos, ¿sí?
Solve the proportion y/25=12/10
first, you cross multiply
10*y = 25*12
10y = 300
divide both sides by 10
y = 30
Answer:
y=30
Step-by-step explanation:
y/25=12/10
Use cross multiplication
y*10=25*12
10y=300
y=30
See screenshot below.
Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.
To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.
0.15x + 0.7y = 0.48(50) ..eq(i)
0.15x + 0.7y = 24 ...eq(i)
x + y = 50 ...eq(ii)
solving equation (i) and (ii)
x = 20, y = 30
He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.
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A water tank already contains 55 gallons of water when Brian begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.
Write a linear equation to model this situation.
2. The expression showing organisms A’s decrease in population over the next 3 days is (1/2)^3. This can be written as (2-^1)3
Write (2-^1)3 with the same base but one exponent
The correct answer is 2^-3.
Using f(a^m)^n = a^(mn), the exponential identity
(2^-1)^3 = 2^-3
The symbol indicating organisms A's
Population decline during the following three days is (1/2)^3.
This can be written as (2-^1)3 with the same base but one exponent. hence answer is 2^-3. Proof of of identity is given below
case 1 Let m>0 and n>0 in . We'll move forward via induction. We repair m and introduce n. Basis: Assume that n=1. Am Equals Am, as can be seen. logical inference: Let's say (am)k=amk. We will demonstrate that (am)k+1=am(k+1). The assumption that (am)k+1=am(k+1) follows naturally.
Case 2 M=N=0 in . There is no doubt that (am)n=amn.
case 3: m0 and n0. Let t, r > 0 and m = t and n = r. Consequently, (a^m)^n=(at)r)=(a1)t)r)=(a1)rt)=(ant)=(ant)=an(1)t=a^mn.
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a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose
a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing is needed to enclose is the perimeter is 694 inches.
To calculate the amount of fencing needed to enclose a garden, we need to find the perimeter of the garden.
The length of the garden is 18 feet 3 inches, which can be converted to a single unit of inches: 18 feet = 18 * 12 = 216 inches 3 inches = 3 inches
So, the length of the garden is 216 + 3 = 219 inches.
Similarly, the width of the garden is 10 feet 8 inches, which can be converted to a single unit of inches: 10 feet = 10 * 12 = 120 inches 8 inches = 8 inches
So, the width of the garden is 120 + 8 = 128 inches.
To find the perimeter, we add up all the sides: Perimeter = 2 * (Length + Width) Perimeter = 2 * (219 + 128) Perimeter = 2 * 347 Perimeter = 694 inches
Therefore, the amount of fencing needed to enclose the garden is perimeter is 694 inches.
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For how many integers n with 1≤n≤2022 is the expression f(n)=n(n+3)/9 not equal to an integer?
There are 673 possible values for which\($n = 3k+2$ and $f(n)$\) is not an integer.
We are given the expression \($f(n) = \frac{n(n+3)}{9}$\) where\($1 \leq n \leq 2022$.\).there are a total of\($673+673 = \boxed{1346}$\)integers\($n$\)with \($1 \leq n \leq 2022$\) for which\($f(n)$\)is not an integer.
We need to find out how many integers $n$ are there such that $f(n)$ is not an integer.Let \($n = 3k + r$\)where \($0 \leq r \leq 2$ and $k$\) is a non-negative integer.
We will check the value o\(f $f(n)$\)for each possible value of \($r$.For $r = 0$\), we have \($$f(n) = \frac{n(n+3)}{9} = \frac{(3k)(3k+3)}{9} = k(k+1)$$\)which is always an integer.
Thus, no values of \($n$\) with\($r=0$\) will work.
For \($r = 1$\), we have \($$f(n) = \frac{n(n+3)}{9} = \frac{(3k+1)(3k+4)}{9} = (3k+1)(k+1) + \frac{k(k+1)}{3}$$\)which is not an integer if and only if \($\frac{k(k+1)}{3}$\) is not an integer.
This happens if and only if\($k \equiv 2 \mod 3$ or $k \equiv 0 \mod 3$.\)
Thus, there are \($\left\lfloor\frac{2022-1}{3}\right\rfloor = 673$\) possible values of\($k$\)for which\($n = 3k+1$ and $f(n)$\)is not an integer.
For\($r = 2$\), we have\($$f(n) = \frac{n(n+3)}{9} = \frac{(3k+2)(3k+5)}{9} = (3k+2)(k+1) + \frac{2k(k+1)}{3}$$\)which is not an integer if and only if\($\frac{2k(k+1)}{3}$\) is not an integer.
This happens if and only i\(f $k \equiv 1 \mod 3$ or $k \equiv 0 \mod 3$.\)
Thus, there are \($\left\lfloor\frac{2022-2}{3}\right\rfloor = 673$\) possible values of\($k$\)for which\($n = 3k+2$ and $f(n)$\) is not an integer.
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