Answer:
Let's assume that Shawant's daily earning is "x" rupees. Then, his earning for 4 days would be 4x rupees.
According to the given information, his weekly earning is 4500 more than the earning of four days. Therefore, his weekly earning can be expressed as:
Weekly earning = Earning of 4 days + 4500
Weekly earning = 4x + 4500
We know that a week has 7 days, so his daily earning can be calculated by dividing his weekly earning by 7:
Daily earning = Weekly earning / 7
Daily earning = (4x + 4500) / 7
Therefore, Shawant's daily earning is (4x + 4500) / 7 rupees.
I NEED HELP ASAP
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for
TC
den
O A. 37.68 ft
B. 28.26 ft
O C. 9.42 ft
O D. 18.84 ft
Answer:18.84
Step-by-step explanation:
c = 2pi(r)
C = 2pi(6/2). Since r = d/2
C = 18.84
How many solutions are there to the inequality x1 + x2 + x3 ≤ 11, where x1, x2, and x3 are nonnegative integers? [Hint: Introduce an auxiliary variable x4 such that x1 + x2 + x3 + x4 = 11.]
The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.
We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.
We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.
We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:
| ** | * | ****
This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.
We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.
Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
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Answers please help me
Answer:
Rita: r - 5= 2c, or r - 5= 2(36), or r - 5 = 72
Cora: (r - 5)/2 = 36
Step-by-step explanation:
Rita had r apps (let r = Rita original apps)She deleted 5 of them so r-5 She now has twice the number of apps as Cora so r-5 = 2c (let c = Cora's total apps) Cora's total apps are 36 so Rita's equation is r-5= 2(36) which means Rita equation for her number of apps is r-5= 72. As for Cora her equation is c= 36 but in relation to Rita's number of apps it's (r-5)/2 = 36is the quotient of two integers positive negative or zero
The quotient of two integers can be positive, negative, or zero depending on the signs of the dividend and divisor.
When dividing two integers, the quotient can be positive, negative, or zero. The sign of the quotient depends on the signs of the dividend and the divisor. If both the dividend and divisor have the same sign (both positive or both negative), the quotient will be positive.
If they have opposite signs, the quotient will be negative. If the dividend is zero, the quotient is zero regardless of the divisor.
For example, when we divide 12 by 4, we get a quotient of 3, which is positive because both 12 and 4 are positive integers. However, when we divide -12 by 4, we get a quotient of -3, which is negative because the dividend (-12) is negative and the divisor (4) is positive.
Finally, if we divide 0 by any integer, the quotient is always 0.
Therefore, the quotient of two integers can be positive, negative, or zero depending on the signs of the dividend and divisor.
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What is system of linear equations with no solution
The system of equations with no solutions is the second one:
3x - 7y = 22
4.5x - 10.5y = 44
Which system of equations has no solutions?When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).
So we need to identify the system of linear equations where the lines are parallel.
If you look at the second system of equations, we have:
3x - 7y = 22
4.5x - 10.5y = 44
We can multiply the first equation by 1.5 to get:
1.5*(3x - 7y) = 1.5*22
4.5x - 10.5y = 33
Then the system is:
4.5x - 10.5y = 33
4.5x - 10.5y = 44
We can see that these lines are parallel,and thus, this system has no solutions.
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Consider the following. g(x)=-9x^(2)+4x-7;h(x)=0.5x^(-2)-2x^(0.5) (a) Write the product function. f(x)=(-9x^(2)+4x-7)((0.5)/(x^(2))-2x^(0.5)) (b) Write the rate -of -change function.
The required rate-of-change function is given as
df(x)/dx=(-9x2+4x-7)(0.5)-9x(2x-1).
a. The product function is given as f(x)=(-9x2+4x−7)((0.5)/(x2)−2x0.5)
Let us first simplify the second function f(x)=(0.5x−2)/x2−2√x
Now, multiply the first and second functions
f(x)=(-9x2+4x−7)(0.5x−2)/x2−2√x
Now, we get the common denominator
f(x)=(-9x2+4x−7)(0.5x−2)/(x2-2x√x+2x√x-x)
Cancelling the terms we get f(x)=(-9x2+4x−7)(0.5x−2)/(x2-x)
Factorizing the denominator we get f(x)=(-9x2+4x−7)(0.5x−2)/(x(x-1))
Thus, the required product function is given as f(x)=(-9x2+4x−7)(0.5x−2)/(x(x-1))
b. We know that the rate of change of a function y with respect to x is given by the derivative dy/dx.
Thus, we need to find the derivative of the function f(x) with respect to x.
Using the product rule, the derivative of f(x) is given as
df(x)/dx=(-9x2+4x-7)
(d/dx)(0.5x-2)+(d/dx)(-9x2+4x-7)(0.5x-2)
Differentiating the first term we get,
df(x)/dx=(-9x2+4x-7)(0.5)+(d/dx)(-9x2+4x-7)(0.5x-2)
Differentiating the second term we get,
df(x)/dx=(-9x2+4x-7)(0.5)+(-18x+4)(0.5x-2)
df(x)/dx=(-9x2+4x-7)(0.5)-9x(2x-1)
Hence, the required rate-of-change function is given as
df(x)/dx=(-9x2+4x-7)(0.5)-9x(2x-1).
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What is the second equation??
what is the volume of the cylinder 4 cm 9cm using 3.14 for pie
The volume of the cylinder is 452.16 cubic cm
How to determine the volume of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Radius = 4 cm
Height = 9 cm
The volume of a cylinder can be calculated using
V = πr²h
Substitute the known values in the above equation, so, we have the following representation
V = 3.14 * 4² * 9
Evaluate
V = 452.16
Hence, the volume is 452.16 cubic cm
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What is the rate of change?
Answer:
5.25 or 5 1/4
Step-by-step explanation:
rate of change = slope = m = rise ÷ run
21 ÷ 4 = 5.25 or 5 1/4
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Let f(x)=
x−9
1
and g(x)=
x
4
+5 Find the domain of the composition f(g(x). The domain of f(g(x)) is all real numbers except x= , Enter answers separated by commas. Given f(x)=x
2
, after performing the following transformations: shift upward 10 units and shift 83 units to the right, the new function g(x)=
The answer of the given question based on the function is , the domain of f(g(x)) is all real numbers except x = 1.
A function, in mathematics, is a relationship or mapping between a set of inputs, called the domain, and a set of outputs, called the codomain or range. It assigns a unique output value to each input value.
Functions are often denoted by a symbol, such as f, and written as f(x), where x represents the input variable.
Here are some key aspects of functions:
Domain: The domain of a function is the set of all possible input values for which the function is defined. It specifies the valid inputs for the function.
Codomain/Range: The codomain or range of a function is the set of all possible output values that the function can produce.
Function Notation: Functions are typically represented using functional notation, such as f(x), where the function name (f) is followed by the input variable (x).
Mapping: A function can be seen as a mapping that relates each input value to a unique output value.
It describes how elements of the domain are transformed or associated with elements of the range.
To find the domain of the composition f(g(x)), we need to consider the domains of both f(x) and g(x).
The function f(x) = (x - 9) / (1) is defined for all real numbers except x = 1, since division by zero is undefined.
The function g(x) = (x⁴ + 5) after performing the given transformations: shift upward 10 units and shift 83 units to the right can be written as g(x) = (x - 83)⁴ + 15.
Now, we need to find the domain of f(g(x)). Since both f(x) and g(x) are defined for all real numbers except x = 1, the domain of the composition f(g(x)) is also all real numbers except x = 1.
Therefore, the domain of f(g(x)) is all real numbers except x = 1.
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A. artists
B. brushes
C. paintings
D. hours
Answer:hours
Step-by-step explanation:
Solve for X. Assume that lines which appear tangent are tangent..
Answer:
Step-by-step explanation:
21) \(\frac{(15x+10)-115}{2}=30\\15x-105=60\\15x=165\\x=11\)
22) \(\frac{151-81}{2}=x+35\\35=x+35\\x=0\)
HELP SOLVE PLS. Find the Volume of the sphere shown. Give each answer rounded to the nearest cubic unit. Answer choices: 442 cm, 236 cm, 1,767 cm, & 14,137
Answer:
Volume of a sphere can be calculated by this equation
\(v=\frac{4}{3} \pi r^3\)
=> radius is diameter divide by 2
\(v=\frac{4}{3}\:\pi \:\left(\frac{15}{2}\right)^3\)
\(v=\frac{5^3\cdot \:3^2\pi }{2}\)
\(v=\frac{1125\pi }{2}\)
or 1767.14 cm cube
The answer is C
two boxes contain the following tickets: box a has 5 tickets, labeled 1, 1, 1, 2, 2 box b has 10 tickets, labeled 3, 3, 5, 5, 5, 5, 5, 5, 5, 5 for each description, choose the plot that matches it. not all plots will be used.
The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.
Does the protagonist in Box B's plot have any special abilities or powers related to the tickets?Box A: The plot that matches Box A is a thrilling mystery. The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.
As the detective investigates, they discover that the tickets with the number "1" are linked to a notorious gang involved in illegal activities. The tickets labeled "2" lead the detective to a secret society that uses the tickets for initiation rituals.
The plot unfolds as the detective races against time to unravel the connections between the tickets and bring the culprits to justice.
Box B: The plot that matches Box B is a heartwarming tale of friendship and adventure. The protagonist, a young child, finds one of the tickets labeled "3" and realizes it grants them access to a magical world. In this world, they meet a group of unique and colorful characters who also possess tickets labeled "5."
Together, they embark on a journey to restore harmony to their realm, battling against an evil force that seeks to exploit the power of the tickets. Through their shared experiences, the group learns valuable lessons about courage, loyalty, and the true meaning of friendship.
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8 more than twice a number is 18.
Answer:
18 + (18 more than) 2x (twice a number) = (is) 8
18+2x=8
2x=-10 (subtract 18 from both sides)
x=-5 (divide both sides by 2)
not my work
A speculative statement about the relationship between two or more variables is known as a? a-correlation b- hypothesis c- sample d- research design
A speculative statement about the relationship between two or more variables is known as a b - hypothesis.
Variables:
A variable is a measurable trait or characteristic that is subject to change under different conditions.
Given,
Here we need to find what is meant by a speculative statement about the relationship between two or more variables.
The definition of Hypothesis is,
It is basically a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
So, a speculative statement about the relationship between two or more variables is known as a b - hypothesis.
So, the option (b) - Hypothesis is correct.
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Find X:
tangent, cosine or sine?
Answer:
x ≈ 2.76
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan78° = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{13}{x}\) ( multiply both sides by x )
x × tan78° = 13 ( divide both sides by tan78° )
x = \(\frac{13}{tan78}\) ≈ 2.76 ( to 2 dec. places )
a website password must include at least 5 letters and 5 numbers. how many ways can you arrange 5 letters from 26 for your password, if the letters must all be distinct?
You arrange 5 letters in 7893600 ways
How many ways can you arrange 5 lettersFrom the question, we have the following parameters that can be used in our computation:
Letters to use = 5
Total available letters = 26
The letters are distinct
This means that the letters cannot be repeated
So, we have
First = 26, Second = 25 ....... Fifth = 22
Using the above as a guide, we have the following:
Ways = 26 * 25 * 24 * 23 * 22
Evaluate
Ways = 7893600
Hence, the arrangement is 7893600
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the fraction 26/5 is between which two numbers
Answer:
\(\huge\boxed{5,6}\)
Step-by-step explanation:
The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.
Hope it helps :) and let me know if you want me to elaborate.
When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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Plz Help I Will Mark Brainliest If Right f(x) = x^2 + 3 A). y > -3 B). All real numbers C). y ≥ 3 D). y ≤ 3
Answer:
C) y ≥ 3
Step-by-step explanation:
The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.
y ≥ 3 . . . . matches C
Find the amount paid for the loan.
$4800 at 9.9% for 4 years
$
PLS HURRY!!!!!!!!
The members of set A are the integer solutions of the inequality 2x−5≤11 and the members of set B are the integer solutions of the inequality −2x+7≤−9. What is one member of the intersection of A and B?
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What is the color of the solution when mixing ba(no3)2 (aq) + cu(no3)2 (aq) ?
When mixing Ba(NO3)2 (aq) and Cu(NO3)2 (aq) solutions, the resulting solution is expected to have a light blue color due to the formation of a precipitate called barium copper nitrate.
Barium copper nitrate is a light blue solid that forms when barium ions (Ba2+) from Ba(NO3)2 react with copper ions (Cu2+) from Cu(NO3)2.
Upon mixing the two solutions, the following reaction takes place:
Ba(NO3)2 (aq) + Cu(NO3)2 (aq) → BaCu(NO3)4 (s)
The formation of the light blue barium copper nitrate precipitate gives the solution its characteristic color. It is important to note that the intensity of the color may depend on the concentration of the solutions used and the amount of precipitate formed.
It is worth mentioning that handling and mixing chemicals should be done with caution and proper laboratory procedures. Additionally, if you are performing a specific experiment or working in a laboratory, it is always recommended to refer to the appropriate literature or consult with a qualified professional for precise information regarding reactions and their outcomes.
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i need help with this worksheet, its due on sunday 1/16/2022
Answer:
See attached
Step-by-step explanation:
Hopefully you can read it okay, the graphs were quite small.
-> I cannot answer the last three accurately
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Becky works a job that pays $14 per hour. Write a function that represents the amount of money she makes. Be sure to indicate any domain restrictions
The form of the linear function is
\(f(x)=mx+b\)m is the rate of change
b is the initial amount
Since Becky earns $14 per hour, then
The rate is $14 per hour
m = 14
Since there is no initial amount, then
b = 0
Substitute the values of m and b in the form of the function above
\(\begin{gathered} f(x)=14x+0 \\ f(x)=14x \end{gathered}\)The function that represents the amount of money she makes is
f(x) = 14x, where x > 0
The vertex of this parabola is at (-4,-1). When the y-value is 0,
the x-value is 2. What is the coefficient of the squared term
in the parabola's equation?
-10
O
O
O O
(-4,-1)
-10
A. 6
B. -6
10-
C. 3
D. -3
10
Where a and b are determined by the value of D.
A parabola is a type of graph, or curve, that is represented by an equation of the form y = ax² + bx + c. The vertex of a parabola is the point where the curve reaches its maximum or minimum point, depending on the direction of the opening of the parabola. In this case, the vertex of the parabola is at (-4,-1).
To find the equation of the parabola, we need to know two more points on the graph. We are given that when the y-value is 0, the x-value is 10-D. We can use this information to find another point on the graph.
When the y-value is 0, we have:
0 = a(10-D)² + b(10-D) + c
Simplifying this equation gives:
0 = 100a - 20aD + aD² + 10b - bD + c
Since the vertex is at (-4,-1), we know that:
-1 = a(-4)² + b(-4) + c
Simplifying this equation gives:
-1 = 16a - 4b + c
We now have two equations with three unknowns (a,b,c). To solve for these variables, we need one more point on the graph. Let's use the point (0,-5) as our third point.
When x = 0, y = -5:
-5 = a(0)² + b(0) + c
Simplifying this equation gives:
-5 = c
We can now substitute this value for c into the other two equations to get:
0 = 100a - 20aD + aD² + 10b - bD - 5
-1 = 16a - 4b - 5
Simplifying these equations gives:
100a - 20aD + aD² + 10b - bD = 5
16a - 4b = 4
We now have two equations with two unknowns (a,b). We can solve for these variables by using substitution or elimination. For example, we can solve for b in the second equation and substitute it into the first equation:
16a - 4b = 4
b = 4a - 1
100a - 20aD + aD² + 10(4a-1) - D(4a-1) = 5
Simplifying this equation gives:
aD² - 20aD - 391a + 391 = 0
We can now use the quadratic formula to solve for D:
D = [20 ± sqrt(20² - 4(a)(391a-391))]/2a
D = [20 ± sqrt(400 - 1564a² + 1564a)]/2a
D = 10 ± sqrt(100 - 391a² + 391a)/a
There are two possible values for D, depending on the value of a. However, since we don't have any information about the sign of a, we cannot determine which value of D is correct. Therefore, the final equation of the parabola is:
y = ax² + bx - 5
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if he(g) has an average kinetic energy of 5270 j/mol under certain conditions, what is the root mean square speed of n2(g) molecules under the same conditions?
Haematuria + frequency + dysuria what is the diagnosis and investigations?
Solve for the value of n
Answer:
n = 8
Step-by-step explanation:
Both given angles are verticale angles therefore they are congruent, so;
9n = 8n + 8
(9n - 8n) = 8
n = 8
Hope this helps!