Answer:
Symbols= P(A^1)
Value: 2/5 , 4/25 , 3/5 , 16/25
Step-by-step explanation:
A circle with a center of (-4,5) passes through the point (2,3). What is its equation in standard form?
The correct option is C.
\((x+4)^2+(y-5)^2=40\)THe standard form of a circle is :
\(\mleft(x-a\mright)^2+(y-b)^2=r^2\)Where (a, b) is the coordinates of the center and r is the radius,
We know the center, we need to find the radius. The radius is equal to the distance to any point of the circle to the center of the circle. Having 2 points P = (c, d) and Q = (e, f) the distance is:
\(d=\sqrt[]{(c-e)^2+(d-f)^2}\)THen, in this case we have the points (-4, 5) and (2, 3). To find hte radius, w
Use the Law of Sines to solve (if possible) the triangle: A = 25° 4', a = 9.5, b = 22? Round answer to two decimal places.
The measure of the angle B of the triangle is 78.15 degrees
How to determine the possible solutions from the triangleFrom the question, we have the following parameters that can be used in our computation:
A = 25 degrees
a = 9.5 units
b = 22 units
Using the law of sines, the angle B is calculated as
sin(A)/a = sin(B)/b
So, we have
sin(25)/9.5= sin(b)/22
This gives
sin(b) = 22 * sin(25)/9.5
Evaluate
sin(b) = 0.9787
Take the arc sin of both sides
b = 78.15
Hence, the measure of the angle is 78.15 degrees
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Graph makes no sense to me
Answer:
(a) 0
(b) 0
(c) 1
The function is not continous at x = 9
Step-by-step explanation:
To the left and right of the point x = 9, the graph would seem to continue at f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous
Apologies if this is wrong its been a bit since I did calculus
at which points do the graphs of y= x+1 and y=2^2 intersection
The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).
To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.
Setting y = x + 1 equal to y = 2^x, we have:
x + 1 = 2^x
To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.
For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.
For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.
However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.
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i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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What dose that sing mean before the square root mean and also what is the answer
The thing before the square root means that the answer can be positive and negative.
Which equation is correct?
cos x° = adjacent ÷ hypotenuse
tan x° = hypotenuse ÷ adjacent
cos x° = hypotenuse ÷ adjacent
tan x° = adjacent ÷ hypotenuse
Answer:
cos x° = adjacent ÷ hypotenuse
Step-by-step explanation:
Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given trigonometric ratios in the options.
As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)
cos is the ratio of the side adjacent to the angle to the hypotenuse
cos x° = adjacent ÷ hypotenuse
tan is the ratio of the side opposite to the angle to the side adjacent to the angle.
tan x° = opposite ÷ adjacent
Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
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Convert 6m to ft
Round to the nearest hundredth as needed
simplify (0.01)^(-0.5)
Answer:10
Step-by-step explanation:
In fraction,
(1/100)^(-1/2)
Equivalent to 1/((1/100)^(1/2))
Power 1/2 is basically square root
So we have 1/(1/10) after applying square root to 1/100
so final step
1 divide (1/10) = 10
This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus
The conditional probability for this problem is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
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In the fraction three-fifths, which statement best describes the denominator?
A. It tells the number of equal parts out of the total number of parts.
B. It tells how many are shaded.
C. It represents the number of equal parts into which the whole is divided.
D. The denominator means three out of five are shaded.
Answer:
D. The denominator means three out of five are shaded
Find the exact value of sin-1 √3/2
Answer:
θ= 60° or 120°Step-by-step explanation: if im wrong im srry
PLEASE HELP
Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)
A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
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John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?
Answer:
24
Step-by-step explanation:
13+11=24
***SHOW YOUR WORK***
1 How many centimeters are in 4 inches if 1 inch = 2.5 cm? 1
Answer: 10
Step-by-step explanation: 2.5 x 4
when multiplying a number by ten,move the decimal to the right when multiplying a number by 0.1 move the decimal to the left why?
Answer:
You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.
Step-by-step explanation:
Hope this helps!
Answer:
Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.y-step explanation:
Vivian is getting a pet snake. She is choosing between the ball python and the corn snake. Vivian wants the shorter snake. Which snake should she get? Hint ( 12 inches = 1 foot )
The corn snake is 9 inches shorter than the ball python, Vivian should get the corn snake.
This question is incomplete, the complete question is here:
Vivian is getting a pet snake. She is choosing between the ball python and the corn snake. the ball python is 4 1/2 ft long and the corn snake is 45 in. long. Vivian wants the shorter snake. Which snake should she get? Show your work. (12 in. = 1 ft)
Which snake should Vivian get if she wants the shorter snake?Given that Vivian is choosing between the ball python and the corn snake.
Length of ball python = 4 1/2 ft = 4.5ftLength of corn snake = 45 inTo determine which of the snake is shorter, compare the length of the snake in the same unit.
Convert the length of the ball python from feet to inches.
1 foot = 12 inches
Length of ball python = ( 4.5 × 12 )inches = 54 inches
Hence;
Length of ball python = 54 in
Length of corn snake = 45 in
Since 45 in is less than 54 in, the shorter snake is the corn snake.
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Solve for x. Show work.
Answer:
x = -7.8
Step-by-step explanation:
Solve for x:
\(x-(-3.9)=-3.9\)
Simplify
\(x+3.9=-3.9\)
Subtract 3.9 on both sides
\(x=-7.8\)
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate).
4 sin(2θ) − 2 sin(θ) = 0
Answer:
θ = πk, 1.318+2πk, 4.965+2πk
Step-by-step explanation:
4sin(2θ) − 2sin(θ) = 0
8sin(θ)cos(θ) - 2sin(θ) = 0
2sin(θ)[4cos(θ)-1] = 0
2sin(θ) = 0
sin(θ) = 0
θ = πk
4cos(θ)-1 = 0
4cos(θ) = 1
cos(θ) = 1/4
θ ≈ 1.318+2πk, 4.965+2πk
Therefore, θ = πk, 1.318+2πk, 4.965+2πk
went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar. Wyatt purchased 2 more bottles of juice than bottles of soda and they all collectively contain 430 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system.
The system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased is:
y = x + 2.30x + 40y = 430.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Bottles of soda.Variable y: Bottles of juice.Wyatt purchased 2 more bottles of juice than bottles of soda, hence:
y = x + 2.
Each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar, and a total of 430 grams was purchased, hence:
30x + 40y = 430.
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Question 2 of 10
What is the solution to this equation?
x + 19 = 26
O A. x= 17
B. x= 5
C. x= 7
ОО
O D. x = 45
SUBMIT
Answer:
x=26-19
=7
Your answer is 7
a girl spends 1/2of her money in a store. then she goes to another 1/2 of which was left with her. after she has rs 24 with how much money did she start ?
1/12
24 divided by 2 = 12
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 37 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=7+37t-16t²
Find all values of t for which the ball's height is 27 feet.
round your answer(s) to the nearest hundredth.
Answer:
t = 0.86 or t = 1.45
Step-by-step explanation:
Solve for x.
Question 17 options:
A)
–62∕5 or 10
B)
–10 or 62∕5
C)
No solution
D)
Infinitely many solutions
The local women's club baked 196 pies. One pie dropped onto the floor and
was thrown away. If they give equal amounts of the remaining pies to each
of two schools, how many whole pies would each school receive?
100 pies
96 pies
97 pies
98 pies
Answer:
97
Step-by-step explanation:
196 ÷ 2 = 97.5
you cannot include the .5, so each school gets 97 pies
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
Math homework help please
Answer:
answer is D
Step-by-step explanation:
(2^3)^-2= 2^(3)*(-2)
= 2^-6
= 1/2^6
= 1/64
The expressions (a), (d), (e) and (f) have values less 1.
What are expressions?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Solving each expression :-
1) 4¹¹ / 4¹⁴
= 4¹¹ × 4⁻¹⁴
= (4)¹¹⁻¹⁴
= 4⁻³
= 1 / 4³
2) (3⁵)² / 3⁸
= 3¹⁰ / 3⁸
= 3¹⁰⁻⁸
= 3²
= 9
3) 4⁻¹ × 4⁵
= 4⁻¹⁺5
= 4⁴
= 64
4) (2³)⁻²
= 2⁻⁶
= 1 / 2⁶
5) (5⁴)² x 5⁻¹¹
= 5⁸ x 5⁻¹¹
= 5⁻³
= 1 / 5³
6) (6⁻⁴ x 6⁶) / 6³
= 6² / 6³
= 1 / 6
Hence, the expressions (a), (d), (e) and (f) have values less 1.
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Cost, Revenue, Profit
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on cost, revenue and profit.
Round your answers to two decimal places as needed.
You decide to begin selling frozen bananas at the local park. Your cost for each frozen banana is $2.25 plus you have to pay a fixed weekly fee of $120 for the booth. Your plan is to sell each frozen banana for $3.51.
1. Write a function, Cin), to represent your total costs for the week if you sell n frozen bananas. C(n) 2.25 + 120
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week. R(n) 3,5ln
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week. P(n) 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number. 95.23809524 frozen bananas
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of________
Answer:
1. C(n) = 2.25n + 120
2. R(n) = 3.51n
3. P(n) = 1.26n - 120
1. 96 frozen bananas must be sold in order to make a positive profit.
2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.
Step-by-step explanation:
1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.
Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:
C(n) = 2.25n + 120
Where 2.25n is the total variable cost while 120 is the total fixed cost.
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.
Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:
R(n) = 3.51 * n
R(n) = 3.51n
Where 3.51 is the selling price per unit while n the number of units sold.
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.
Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:
P(n) = R(n) - C(n)
P(n) = 3.51n - 2.25n + 120
P(n) = 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.
This can be obtained by equating the profit function to zero and solve for n as follows:
P(n) = 0 => 1.26n - 120 = 0
Therefore, we have:
1.26n = 120
n = 120 / 1.26
n = 95.2380952380952 frozen bananas
Writing it as a whole number, we have:
n = 95 frozen bananas
However, using this whole number will result in a negative profit by substituting it into the profit function as follows:
P(n) = (1.26 * 95) - 120 = -$0.30
Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:
P(n) = (1.26 * 96) - 120 = $0.96
Therefore, 96 frozen bananas must be sold in order to make a positive profit.
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of 96 frozen bananas.
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Over three days, Molly earns $2,568 for a local charity. On the first day, she earns twice as much as she earns on the second day. On the third day, she earns three times as much as the second day. How much does she earn on the first day?
If on the third day, she earns three times as much as the second day. The amount that she earn on the first day is $856.
How to find the amount earned?Let a = Amount earned on the first day
Let b = Amount earned on the second day
Let c = amount earned on the third day
Let a + b + c =2568,
Hence,
2b + b +3b =2568
6b =2568
b =2568/6
b =428 second day
So,
a = 2b
a =2(428)
a =856 first day
Thus
c = 3b where b = 428
c=3(428)
c=1284 third day
Check:
a +b + c = $2568
856 + 428 + 1284 = $2568
Therefore she earned $856 on the first day.
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