Answer: \(\boldsymbol{1280\pi}\) square feet
Work Shown:
\(\text{SA} = 2B+Ph\\\\\mbox{\ \ \ \ } = 2(\pi r^2)+(2\pi r)h\\\\\mbox{\ \ \ \ } = 2\pi(16 )^2+2\pi(16)(24)\\\\\mbox{\ \ \ \ } = 2\pi(256 )+2\pi(384)\\\\\mbox{\ \ \ \ } = 512\pi+768\pi\\\\\mbox{\ \ \ \ } = 1280\pi\\\\\)
Determine the value of −14.1 × (-7.33)
Answer:
Multiply -14.1 by -7.33.103.353 ?
Step-by-step explanation:
Sorry I'm not very good at math hope this helps..
2. Ahmed puts aside money from his summer job to spend on his PlayStation Plus Extra
subscription. The amount of money Ahmed has left as a function of the number of months
he subscribes can be modeled by the equation y = 120 - 15x.
c. Graph the equation
What is the domain and range
The domain and range of the linear function y = 120 - 15x is (-∞, ∞)
Graph of linear functionA graph of a linear function is a straight line that represents the relationship between two variables. A linear function is a function of the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line represents the rate of change of one variable with respect to the other variable, and the y-intercept represents the value of the dependent variable when the independent variable is zero.
When a linear function is graphed, it creates a line that can be represented by two key features: the slope and the y-intercept. The slope of a linear function is the rate of change of the function, and the y-intercept is the point where the line crosses the y-axis.
In the given problem, the linear function is y = 120 - 15x
Kindly find the graph attached below;
The domain of the function is (-∞, ∞)
The range of this function is (-∞, ∞)
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Which function rule best models the data in the table. X: 0,1,2,3 y: 3,4,7,12
Answer:
x = 3y + 4x
its how graphs work
what is the answer........
which statement about equations and expressions is true? an example of an equation is because it shows that two expressions are equal. an example of an expression is because it shows that two equations are equal. an example of an equation is because it is a mathematical phrase represented by numbers, a variable, and an operation. an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.
The statement that is true about equations and expressions is that an example of an equation is because it shows that two expressions are equal.
While an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.
An equation is a mathematical statement where two expressions are equal. It's important to note that an equation has an equals sign, so the left side of the equation is equal to the right side of the equation.
Expressions are combinations of numbers, symbols, and operators that represent a value. A symbol or letter that represents a value is a variable. It's important to note that an expression does not have an equals sign, so the value of the expression is not defined.Why is an example of an equation true?An equation can be written in the form x = y. The equals sign indicates that x and y are equal. This means that two expressions, x and y, are equal. Therefore, an equation shows that two expressions are equal.
An example of an equation is 3x + 4 = 10. This equation is an example of an equation because it shows that two expressions, 3x + 4 and 10, are equal. The left side of the equation (3x + 4) equals the right side of the equation (10). Therefore, this statement is true: "An example of an equation is because it shows that two expressions are equal."
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What is the measure of ZRST?
calculate the slope of the lines that pass through 5,-8 and -3,-4
Slope of the lines that pass through points (5,-8) and (-3,-4) is -1/2
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find slope of the lines that pass through (5,-8) and (-3,-4)
Slope = -4-(-8)/-3-5
=-4+8/-8
=-4/8
=-1/2
Hence, slope of the lines that pass through (5,-8) and (-3,-4) is -1/2
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a teacher weighed 145 lbs in 1986 and weighed 187 lbs in 2007. what was the rate of change in weight from 1986 to 2007?
Answer:
The rate of change is: 2
Step-by-step explanation:
\(\frac{187-145}{2007-1986}\) = 2
logan made a profit of $350 as a mobile groomer. he charged $55 per appointment and received $35 in tips, but also had to pay a rental fee for the truck of $10 per appointment. write an equation to represent this situation and solve the equation to determine how many appointments logan had. (5 points)
Logan had approximately 4 appointments.
Let's denote the number of appointments Logan had as 'x'.
The equation representing Logan's profit can be expressed as follows:
Profit = Revenue - Expenses
and, Revenue = Total amount earned from appointments + Tips
Expenses = Rental fee per appointment
Given that
Logan charged $55 per appointment and received $35 in tips.
So, the revenue from each appointment would be $55 + $35 = $90.
As, the expenses per appointment would be the rental fee of $10.
Therefore, the equation becomes:
Profit = (Revenue per appointment - Expenses per appointment) * Number of appointments
350 = (90 - 10) *x
350 = 80x
x = 350 / 80
x ≈ 4.375
Therefore, Logan had approximately 4 appointments.
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simplify -7(3z+5t-3g)
Answer:
-21z-35t+21g
Step-by-step explanation:
-7x3z=-21z
-7x5t=-35t
-7x-3g=21g
Find the distance between the point (3, 5) and a line with the equation 5x-3y+10=0
The distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.
Given that,
We have to find the distance between the points (3,5) and a line with the equation 5x-3y+10=0.
We know that,
We have a formula that is
Let (x₁, y₁) be the point and ax + by + c = 0 be the line.
Then the distance between a point and a line will be
d=|ax₁+by₁+c|/√(a²+b²)
Here,
(x₁,y₁)=(3,5)
a=5, b=-3 and c=10
So, substituting
d=|5(3)+(-3)(5)+10|/√(5²+(-3)²)
d=|15-15+10|/√25+9
d=|10|/√34
d=10/√34
Therefore, the distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.
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I’m sure this is easy but I hateeee geometry. help ASAP plsssss
Given points
(-4,3)(2,5)Distance:-
\(\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}\)
\(\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}\)
\(\\ \sf\longmapsto \sqrt{36+4}\)
\(\\ \sf\longmapsto \sqrt{40}\)
\(\\ \sf\longmapsto 6.2\)
que es el rango en matemáticas
How might a business encourage its employees to participate in a retirement investment plan?
O By charging fines to those who do not sign up
O By offering a large variety of plan options
O By charging higher transaction fees than brokers
O By offering plans with strong returns and low fees
The correct option regarding how a business might encourage its employees to participate in a retirement investment plan is given as follows:
By offering a large variety of plan options.
What are retirement investment plans?
Retirement investment plans are plans in a which a part of the employee's salary goes towards savings, which are retirement plans, as the monetary amount is saved, generating investment, and then when the employee retires this amount with interest is deposed from the bank account.
The most well know retirement plan is the 401k, and the company should offer various options to it's employees, as they may have different interests, such as how long it will take for them to retire, or the amount they want to save, depending on their costs of living.
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Which is a solution to the inequality five less than a number is at most 12? 15, 16, 17, 18
Answer:
15, 16, an 17.
Step-by-step explanation:
at most 12, meaning it can't be more but can be equal or less than that number.
18-5≠x-5≤12
17-5=x-5≤12
16-5=x-5≤12
15-5=x-5≤12
How to calculate algebra at mathpapa onlien?
The steps to calculate the algebra at Mathpapa online has been explained
Mathpapa is an online algebra calculator that can help you solve equations, graph functions, and perform various algebraic operations. Here's a general guide on how to use Mathpapa to calculate algebra:
Go to the Mathpapa website (mathpapa.com).
Select the type of algebraic problem you want to solve from the options available on the homepage. For example, you can choose to solve an equation, graph a function, or simplify an expression.
Enter the algebraic expression or equation you want to solve in the input field. You can use the on-screen keyboard or type directly on the input field.
Once you have entered the expression or equation, click the "Solve" button to see the solution. If you are solving an equation, the solution will be displayed step-by-step.
If you want to graph a function, enter the function in the input field and click the "Graph" button. You can customize the appearance of the graph by adjusting the axis limits, adding titles and labels, and changing the line color and style.
Mathpapa also provides various tools to help you learn and practice algebra. For example, you can use the practice problems to test your skills, or watch video tutorials to learn specific algebraic concepts.
Overall, Mathpapa is a useful tool for anyone looking to improve their algebra skills or solve algebraic problems quickly and easily.
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the interior angles of a pentagon form an arithmetic sequence. the difference between the largest angle and smallest angle is $44^\circ$. find the smallest angle, in degrees.
Step-by-step explanation:
Interior angles of a 5-gon sum to ( 5-2)(180 = 540 degrees
smallest angle =x
largest angle = x + 4d
where d is the arithmetic sequence common difference
x + 4d -x = 44 shows d = 11
then x + x+d + x+2d + x+3d + x + 4d = 540
5x + 10d = 540 we know d = 11
5x + 10(11) = 540
5x = 430
x = smallest angle = 86 degrees
The smallest interior angle of the pentagon is 86 degrees. This was found by setting up an equation involving the common difference "d" in the arithmetic sequence of angles and solving for "x."
Let's denote the five interior angles of the pentagon as follows:
Let the smallest angle be "x" degrees.
The other four angles form an arithmetic sequence, so we can represent them as x + d, x + 2d, x + 3d, and x + 4d, where "d" is the common difference between the angles.
Now, we know that the difference between the largest angle and the smallest angle is $44^\circ$. Therefore, we can write the equation:
(x + 4d) - x = $44^\circ$
Simplify and solve for "d":
4d = $44^\circ$
Now, divide both sides by 4 to find the value of "d":
d = $44^\circ / 4 = $11^\circ
Now that we know the common difference "d" is $11^\circ", we can find the smallest angle "x" by using the equation for the sum of angles in a pentagon, which is 540 degrees:
x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 540
Simplify and solve for "x":
5x + 10d = 540
5x + 10($11^\circ) = 540
5x + $110 = 540
Now, subtract $110 from both sides:
5x = 540 - $110
5x = $430
Finally, divide by 5 to find the smallest angle "x":
x = $430 / 5 = $86
So, the smallest angle of the pentagon is $86 degrees.
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Question 4
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consider a weighted voting system with three players. if only player 1 has veto power, and there are no
dummies, find the banzhof power distribution.
player 1:
player 2:
player 3:
give each value as a fraction or decimal
The Banzhaf power distribution in this system is as follows:
Player 1: 1.00 (100%)
Player 2: 0.67 (67%)
Player 3: 0.67 (67%)
In a weighted voting system, each player is assigned a certain number of votes, and the distribution of power among the players is determined by these vote weights. In a system with three players, if player 1 has veto power and there are no dummies (players with zero votes), the Banzhaf power distribution can be calculated as follows:
Determine the total number of votes in the system. Let's say that player 1 has 10 votes, player 2 has 4 votes, and player 3 has 2 votes. The total number of votes is 10 + 4 + 2 = 16 votes.
Calculate the threshold for veto power. To have veto power, a player must have enough votes to block any proposal that does not have their support. In this case, player 1 has veto power because they have more than half of the votes (10 votes > 16 votes / 2). The threshold for veto power is therefore 50% or 0.5.
Calculate the Banzhaf power index for each player. The Banzhaf power index measures the player's ability to affect the outcome of a vote, taking into account the player's vote weight and the threshold for veto power. The Banzhaf power index for each player can be calculated using the following formula:
Banzhaf power index = (number of winning coalitions that a player is a member of) / (total number of winning coalitions)
In this case, there are three possible winning coalitions: (player 1), (player 2), and (player 3). Player 1 is a member of all three winning coalitions, so their Banzhaf power index is 3/3 = 1. Player 2 is a member of two winning coalitions (their own and player 1's), so their Banzhaf power index is 2/3 = 0.67. Player 3 is a member of two winning coalitions (their own and player 1's), so their Banzhaf power index is 2/3 = 0.67.
Therefore, the Banzhaf power distribution in this system is as follows:
Player 1: 1 (100%)
Player 2: 0.67 (67%)
Player 3: 0.67 (67%)
This means that player 1 has the most power in the system, with veto power and the ability to affect the outcome of any vote. Players 2 and 3 have less power, but they can still influence the outcome of a vote by forming a coalition with player 1.
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7. ABCD ~ EFGH
8. AXYZ - ARPO
the given terms ABCD and EFGH. Since the word limit is short, I'll keep it concise.
In geometry, the symbol "~" represents similarity between two shapes. When we say ABCD ~ EFGH, we mean that quadrilateral ABCD is similar to quadrilateral EFGH.
Similarity means that the shapes have the same angles and their corresponding sides are proportional.
To determine if ABCD ~ EFGH, we can follow these steps:
1. Compare corresponding angles: Check if angle A is congruent to angle E, angle B is congruent to angle F, angle C is congruent to angle G, and angle D is congruent to angle H. If all the angles match,
proceed to step 2.
2. Compare side ratios: Verify if the ratios of corresponding sides are equal.
For example,
check if \(AB/EF = BC/FG = CD/GH = DA/HE.\)
If these ratios are equal, then the shapes are similar.
In conclusion, when we say ABCD ~ EFGH, we imply that the quadrilaterals ABCD and EFGH are similar because they have congruent angles and proportional sides.
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b. If a is an integer, show that either a² = 0 mod 4 or a² = 1 mod 4.
We have shown that if a is an integer, then either a² = 0 mod 4 or a² = 1 mod 4.
Let's prove that if a is an integer, then either a² = 0 mod 4 or a² = 1 mod 4.Let's start by considering that an integer is always one of the following:
even, i.e., 2k, where k is an integer.odd, i.e., 2k+1, where k is an integer.We have two cases to consider:
Case 1: Let a be an even integeri.e., a = 2k, where k is an integer.
Then, a² = (2k)² = 4k².We know that every square of an even integer is always divisible by 4.
Therefore, a² is always a multiple of 4.So, a² ≡ 0 (mod 4)
Case 2: Let a be an odd integeri.e., a = 2k+1, where k is an integer.
Then, \(a² = (2k+1)² = 4k² + 4k + 1\).Rearranging the above equation, we get:a² = 4(k²+k) + 1.
Observe that \(4(k²+k) i\)s always an even integer, since it is a product of an even and an odd integer.
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First person to answer gets brainilest.
Answer:
74 + 4 π ft^2
Step-by-step explanation:
Just a bit of a piecemeal.
2 rectangles and a half circle. We have all the dimensions.
1. Let's solve the big one first A = lw, putting in the numbers A = 4*15 = 60
2. The smaller one A = lw, putting int eh numbers A = 2 * 7 = 14
3. Now, the semi-circle. We know the diameter by deducting 12 from the total length, which is 9 + 7 = 16 in = 4 ft
The radius of the circle is half of the diameter, so the radius is 2 ft
The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius.
Substituting the values, we get:
A = π(2)^2
A = 4π
The area of the circle is 4π square ft^2
Add: 60 + 14 + 4π = 74 + 4 π ft^2
describe the operations you can use to solve the equation x^2 + 5= 86. Then determine the solution.
Answer:
see explanation
Step-by-step explanation:
One method of solution is given below
x² + 5 = 86 ( subtract 5 from both sides )
x² = 81 ( take the square root of both sides )
x = ± \(\sqrt{81}\) = ± 9
To solve the equation x^2 + 5 = 86, we need to isolate the variable x on one side of the equation. We can do this by performing the opposite operations on each side of the equation.
Subtract 5 from both sides of the equation:
x^2 = 81
Take the square root of both sides of the equation:
x = ±9
Therefore, the solutions to the equation x^2 + 5 = 86 are x = 9 and x = -9.
Plz answer 3.2x+0.2^2-5=0
Answer:
Hope it works for u
Step-by-step explanation:
As given, 3.2x+0.2^2-5=0 we have to find value of x
3.2x+0.04-5=0
3.2x-4.96=0
3.2x=4.96
x=4.96/3.2
x=1.55 Ans....
Answer:
x=31/20 (as a fraction)
Step-by-step explanation:
What is the quotient?
StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFraction
Answer:
1/9
Step-by-step explanation:
Where my coins at bruh and yo number jhit
The value of the expression {(-3)⁰}/{(-3)²} is 1/9.
What is an exponent?Exponentiation is one of the mathematics operations.
Let mᵃ, where m and a are the real numbers.
And m is multiplied by a times to itself.
So, a is the exponent of m.
Given:
Start Fraction (negative 3) Superscript 0 Over (negative 3) squared End Fraction
In numerator form:
{(-3)⁰}/{(-3)²}
= 1/9
Therefore, 1/9 is the value.
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write the standard form of the equation of a line passing through the point (6, 8) parallel to 4x 7 y
The standard form of the equation of a line passing through the point (6, 8) parallel to 4x + 7y = 59 is 4x+7y=80.
We have to write the standard form of the equation of a line passing through the point (6, 8) parallel to 4x + 7 y = 59.
Passing through point=(6,8)
x(1) = 6 and y(2) = 8
Parallel to line 4x+5y=59
Writing the equation in the standard form y = mx+c, where m = slope
y = -4/7 x + 59/7
slope m=-4/7
so,equation of line
y-y1=m(x-x1)
y-8=-4/7(x -6)
y=-4/7 x+24/7+8
y= (-4x+24+56)/7
7y= -4x+80
4x+7y=80
Hence, the standard form of the equation is 4x+7y=80
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The right question is:
Write the standard form of the equation of a line passing through the point (6, 8) parallel to 4x + 7 y = 59.
An octahedral die has 8 faces, numbered 1–8. If the die is weighted in such a way that 2 is twice as likely to land facing up as 1, 3 is three times as likely to land facing up as 1, and so on, what is the probability distribution for the face landing up?
Outcome 1 2 3 4 5 6 7 8
Probability
Outcome 1 2 3 4 5 6 7 8
Probability 1/28 1/14 3/28 1/7 5/28 3/14 1/4 2/7
Since the die is weighted such that each number is k times more likely to land facing up than the previous number, we can set up the following probability distribution:
Outcome 1 2 3 4 5 6 7 8
Probability k 2k 3k 4k 5k 6k 7k 8k
To find the value of k, we know that the probabilities must add up to 1:
k + 2k + 3k + 4k + 5k + 6k + 7k + 8k = 1
28k = 1
k = 1/28
Thus, the probability distribution for the face landing up is:
Outcome 1 2 3 4 5 6 7 8
Probability 1/28 2/28 3/28 4/28 5/28 6/28 7/28 8/28
Simplifying, we get:
Outcome 1 2 3 4 5 6 7 8
Probability 1/28 1/14 3/28 1/7 5/28 3/14 1/4 2/7
Therefore, the probability of rolling each number on the octahedral die is as shown in the table above.
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Determine whether the statement is true or false. Vector field F = (3x2, 1) is a gradient field for both ®/(x, y) = x3 + y and z(x, y) = y + x3 + 138. O True False
The statement that Vector field F = (3×2, 1) is a gradient field for both ®/(x, y) = x3 + y and z(x, y) = y + x3 + 138. O is False
A vector field F = (3x², 1) is a gradient field for both $R(x,y)=x³+y$ and $z(x,y)=y+x³+138$ can be true or false. Let's first take a look at a vector field.
The term "vector field" refers to a group of vectors that are drawn from every point in space, with each vector changing over time. The components of the vector are functions of the x and y coordinates of each point in space, so the components of the vector field are defined at each point in the plane.
Using a scalar potential function, a vector field is generated. Gradient fields are vector fields that result from a scalar potential function being differentiated with respect to two independent variables, resulting in two differentials.
The gradient vector field of a function is a vector field that points in the direction of the maximum rate of increase of the function and has a magnitude equal to the maximum rate of increase. According to the question, Vector Field is: F = (3x², 1)
Scalar Potential function are: R(x,y) = x3 + yz(x,y) = y + x3 + 138
Using the concept, A vector field F is said to be a gradient field for a scalar function f if and only if F=grad(f), i.e., F is the gradient of a scalar function f.
let's find the gradients of given scalar potential functions:$$grad(R(x,y))=<3x²,1>$$$$grad(z(x,y))=<3x²,1>$$. Comparing the gradients with the vector field F, we see that grad(R(x, y)) = F and grad(z(x, y)) = F, so F is a gradient field for both R(x, y) = x³ + y and z(x, y) = y + x³ + 138.
Therefore, the statement is False.
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a bike shop rents bies with hieghts ranging from 18 inchesto 26 inches. The shop says the height of the bike shoulds be 0.6 times a cyclists leg length. Write and solve a compund inequality that represents the leg length of the cyclists the shop does not provide bikes for
A. The compound inequality that represents the leg length of the cyclists the shop does not provide bikes for is leg length < 18 inches or leg length > 26 inches.
B. To represent the leg length of the cyclists the bike shop does not provide bikes for, we can use a compound inequality involving the height range and the given ratio of 0.6 times the leg length.
Let L represent the leg length of the cyclist.
According to the shop's requirement, the height of the bike should be 0.6 times the leg length:
0.6L.
Now, we can set up the compound inequality:
0.6L < 18 or 0.6L > 26.
To solve the inequality, we'll divide each part of the compound inequality by 0.6:
L < 30 or L > 43.33.
However, since leg length is a physical measurement and typically given in whole numbers, we can round the inequality to:
L < 30 or L > 44.
Therefore, the compound inequality that represents the leg length of the cyclists the shop does not provide bikes for is leg length < 18 inches or leg length > 26 inches.
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How do solve for the following: Determine the bearing of a point located at (-8,0) from the origin.
In the wuestion, we are given that the point is located at (-8,0). We will draw a graph to represent the point.
Since the brearing is measured from the north we will have.
Since the arrow covers two quadrants, it implies that the bearing would be
\(90^0+90^0=180^0\)Answer:
\(180^0\)Preform the indicated operation 5/4 + 7/9
Answer:
5/4+5/9
45/36 +20/36
65/36
1 30/36