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what is -7 + 3x = 8 - 2x
Answer: x = 3
Step-by-step explanation: -7 + 9 = 8 - 6
Evaluate the indefinite integral. (Use C for the constant of integration.) sin(16x) J 1 + cos2(16x) - dx -tan-|(16x)I+C
The indefinite integral of sin(16x) with respect to x cannot be expressed in terms of elementary functions.
LaTeX, you can display powers using the caret (^) symbol. For example, to display x raised to the power of 2, you would write:
[tex]$x^2$[/tex]
And to display x raised to the power of y, you would write:
[tex]$x^y$[/tex]
To solve this integral, we would typically use numerical or approximate methods, or special functions such as the sine integral or Fresnel integrals.
The indefinite integral of [tex](1 + cos^2(16x))[/tex] with respect to x can be evaluated using the substitution u = cos(16x). The derivative of cos(16x) with respect to x is -16sin(16x), so the integral becomes:
[tex]∫ (1 + cos^2(16x)) dx = ∫ (1 + u^2) du[/tex]
[tex]= 1/3 u^3 + u[/tex]
[tex]= 1/3 cos^3(16x) + cos(16x) + C[/tex]
where C is the constant of integration.
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please someone help me quick
Answer:
Top one is (SAS) Middle one is (AAS) Bottom one is (AAA)
Step-by-step explanation:
I hope these were helpful.
Mr Saver invests $X at t = 0 in an account that pays a nominal rate of R convertible
quarterly. The interest he earns during t = 0.5 to t = 1.5 is 1.0816 times the interest
he earns during t = 0 to t = 1. Find the exact value of R.
Let X be the amount Mr Saver invests at t = 0.
The interest he earns during t = 0 to t = 1 can be expressed as:
Interest = X * R * (1/4)
The interest he earns during t = 0.5 to t = 1.5 can be expressed as:
Interest = X * R * (3/4)
Since the interest he earns during t = 0.5 to t = 1.5 is 1.0816 times the interest he earns during t = 0 to t = 1, we can set up the following equation:
X * R * (3/4) = 1.0816 * (X * R * (1/4))
Solving for R, we get:
R = 4.3264 Therefore, the exact value of R
Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.
This system of equations models the scenario:
4x + 2y ≤ 16
x + y ≥ 4
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)
Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)
The graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings.
Each cupcake costs $4, and each piece of fudge costs $2.
4x + 2y ≤ 16
x + y ≥ 4
The graph for system of inequalities is attached.
The point (2, 3) included in the solution area for the system
4(2)+2(3)≤ 16
14≤ 16 is true.
2+3≥ 4 is true.
Point (2, 3) included in the solution area for the system.
From the graph (4, 0) is the solution of area for the system.
Hence, the graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.
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An ice cream shop has a special on banana splits, and Xing is taking advantage of it. He's astounded at all the options he has in constructing his banana split: He must choose three different flavors of ice cream to place in the asymmetric bowl the banana split is served in. The shop has 20 flavors of ice cream available. Each scoop of ice cream must be topped by a sauce, chosen front six different options. Xing is free to put the same type of sauce on more than one scoop of ice cream. There are 10 sprinkled toppings available, and he must choose three of them to have sprinkled over the entire banana split. (a) How many different ways are there for Xing to construct a banana split at this ice cream shop? (b) Suppose that instead of requiring that Xing choose exactly three sprinkled toppings, he is allowed to choose between zero and three sprinkled toppings In this scenario, how many different ways are there for him to construct a banana spin?
There are 38,400 different ways for Xing to construct a banana split at this ice cream shop if he is allowed to choose between zero and three sprinkled toppings.
a) In order to construct a banana split, Xing needs to select 3 flavors of ice cream, 6 sauces, and 3 sprinkled toppings. Therefore, the formula for the number of ways to construct a banana split is (20 flavors)(6 sauces)(10 toppings)^3. When calculated, this number is 28,800. This means that there are 28,800 different ways for Xing to construct a banana split at this ice cream shop.
b) In this scenario, the formula for the number of ways to construct a banana split is (20 flavors)(6 sauces)(10 toppings)^0 + (20 flavors)(6 sauces)(10 toppings)^1 + (20 flavors)(6 sauces)(10 toppings)^2 + (20 flavors)(6 sauces)(10 toppings)^3. When calculated, this number is 38,400. This means that there are 38,400 different ways for Xing to construct a banana split at this ice cream shop, with the option to choose zero, one, two, or three sprinkled toppings.
Therefore, there are 38,400 different ways for Xing to construct a banana split at this ice cream shop if he is allowed to choose between zero and three sprinkled toppings.
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PLEASE HELP 10 Points
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4(2y + 1)}\\\mathsf{= 4(2y) + 4(1)}\\\mathsf{= 8y + 4}\\\mathsf{\rightarrow 4y + 4y + 4}\\\mathsf{\rightarrow 2(4y + 2)}\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathsf{Option\ A. \ 4y + 4y + 4}}\huge\checkmark\\\\\huge\boxed{\mathsf{Option\ B. \ 4y + 4y + 4}}\huge\checkmark\\\\\huge\boxed{\mathsf{Option\ E.\ 8y + 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
a restaurant offers delivery for pizzas. The total cost includes $11 per pizza and the delivery fee. A delivery of 5 pizzas costs $58.
Write an equation to represent the total cost, y for x number of pizzas. Use your wquation to find the cost of delivery of 80 pizzas.
Answer:
y=883
Step-by-step explanation:
The total cost includes $11 per pizza and the delivery fee. A delivery of 5 pizzas costs $58.
11 (dollars per pizza) x 5 (pizzas were delivered) = 55 dollars
58 (total cost) - 55 (total cost for pizza) = 3 (fee)
11x+3=y (Equation)
input the 80 pizzas to the equation
11(80)+3=y
y= 883
Hope this helps! I took a similar question 3 years ago! =)
Circles C 1 ,C 2 ,C 3 have their centres at (0,0),(12,0),(24,0) and have radii 1,2 and 4 respectively. Line t 1 is a common internal tangent to C 1 and C 2 and has a positive slope and line t 2 is a common internal tangent to C 2 and C 3 and has a negative slope. Given that lines t 1 and t 2 intersect at (x,y) and that x=p−q√r, where p,q and r are positive integers and r is not divisible by the square of any prime, find p+q+r.a.P+Q+R=26b.P+Q+R=24c.P+Q+R=28d.P+Q+R=27
The sum of p, q, and r is 27.
The point of intersection of the lines t1 and t2, (x,y), can be found by using the equation of the lines. The equation of t1 is y=mx+c, where m is the slope, and c is the y-intercept. The equation of t2 is y=mx+c, where m is the slope, and c is the y-intercept.
The equations of t1 and t2 can be written as y= 1/2 x + 1 and y= -1/4 x + 7/2 respectively.
By setting the two equations equal to each other, we can find the x-coordinate of the point of intersection (x,y).
x=2 - 7/4 =4/4 - 7/4 = -3/4
Since x=p−q√r, we can write -3/4 = p−q√r.
Rearranging this equation, we get p+q+r= 4/3 + 7/3 + 4/3 = 27/3 = 9.
Therefore, P+Q+R=27.
Therefore, the sum of p, q, and r is 27.
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a linear system is homogeneous when all of the equations in the system are homozygous. for example, here is a homogeneous system x2 4x3
A linear system is a set of linear equations that can be written in the form ax + by = c, where x and y are variables, a and b are coefficients, and c is a constant.
A linear system is considered homogeneous when all the equations in the system are equal to zero, i.e., they have a constant term of zero. For example, a homogeneous linear system could be:
a linear equation is represented as
2x + 3y = 0
4x - 5y = 0
In this example, both equations are homogeneous because the constant term is equal to zero.
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_ / 6 < 9/6 what is the missing number?
The complete expression is 8/6 < 9/6
How to complete the expressionFrom the question, we have the following parameters that can be used in our computation:
_ / 6 < 9/6
Express properly
So, we have the following representation
_ / 6 < 9/6
Represent the blank with x
x / 6 < 9/6
Multiply both sides of the expression by 6
So, we have the following representation
x < 9
This means that x is any value less than 9
An instance is 8
Hence, the solution to the expression is 8/6 < 9/6
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data from what length of time are represented on a climograph? view available hint(s)for part b data from what length of time are represented on a climograph? 30 years 300 years it varies from one climograph to another; there is no standard length of time. 30 days 30 months submit
Option b is the correct answer. It varies from one climograph to another; there is no standard length of time.
A climograph is a graphical representation of climate data that shows the average temperature and precipitation patterns over a certain period of time. The length of time represented on a climograph can vary and there is no set standard. It could be a few months, a year, several years, or even decades. It depends on the specific data and purpose of the climograph. Some climographs may show data from the last 30 years, while others might show data from the last 300 years. The important thing to remember is that the length of time represented on a climograph will vary and there is no set rule for how long it should be.
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The complete question is:
data from what length of time are represented on a climograph? view available hint(s)for part b data from what length of time are represented on a climograph?
a. 30 years 300 years
b. it varies from one climograph to another
c. there is no standard length of time.
d. 30 days 30 months submit
which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?
Option (b) is correct. The sample size was not sufficiently large.
The histogram that is shown at the end of the answer shows the results of the simulation. We can clearly see that there are different variations in the population size. There are various reasons which can cause the simulation not to be normal. The main reason for this if the sample size is not big enough. That is because a theory stated that when the sample size taken by a person or researcher is not large or insufficient for the alpha level as well as the analysis one chooses to do, it will limit the statistical power of the study.
Due to the above, we can say that the sample size is not big enough that's why the simulation of the sampling distribution is not approximately normal. So option (b) is correct.
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Your question was incomplete, your most probable question was stated below:
A recent survey indicated that the mean time spent on a music streaming service is 210 minutes per week for the population of a certain country. A simulation was conducted to create a sampling distribution of the sample mean for a population with a mean of 210. The following histogram shows the results of the simulation.
Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?
(a) The samples were not selected at random.
(b) The sample size was not sufficiently large.
(c) The population distribution was approximately normal.
(d) The samples were selected without replacement.
(e) The sample means were less than the population means.
7. Higher Order Thinking A bagel is cut
into same-size pieces. Some
friends share the bagel.
Each friend gets one piece.
How many friends share
the bagel?
friends
The number of friends sharing the bagel will be n.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A bagel is cut into same-size pieces. Some friends share the bagel. Each friend gets one piece.
Let the same size pieces of the bagel be 1/n. Then the number of friends who share the bagel is given as,
⇒ 1 / (1/n)
⇒ 1 x n / 1
⇒ n
The number of friends sharing the bagel will be n.
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the area of the rectangle is 12^cm2 what is t in cm?
Answer:
t = 9cm
Step-by-step explanation:
area = l*w
2(t-3) = 12
2t - 6 = 12
2t - 6 + 6 = 12 + 6
2t = 16
t = 18/2
t = 9
t = 9cm
30 boys and 36 girls were split into teams for a volleyball tournament. The same number of girls and the same number of boys were on each team. What is the greatest number of teams they could have made?
The greatest common divisor (GCD) of 30 and 36 is 6, which implies they may be divided into six teams of five males and six girls apiece.
What is expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in structure.
Here,
To get the greatest number of teams, each team should have the smallest number of players possible. The number of boys and girls should be divisible by the same number to ensure that each team has the same number of boys and girls.
The greatest common divisor (GCD) of 30 and 36 is 6, which means they can be split into 6 teams with 5 boys and 6 girls on each team.
So the greatest number of teams they could have made is 6.
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Find the length of AB. Round your answer to the tenth place.
Answer:
Step-by-step explanation:
AB= 20
which of the following are equivalent to 85%? choose all that apply, (multiple choices)
A.0.085
B.0.85
C.85/100
D.19/20
Answer:
B.0.85
C.85/100
Step-by-step explanation:
pls, tell me if wrong have a good day/night<3
Economics homework?
- please help
The market equilibrium on the graph is the point at the middle of the graph where supply and demand intersect.
The market equilibrium has the price of $ 6 and the quantity of 20 units.
The revenue at the equilibrium is $ 120.
The price floor would create a surplus.
What is the market equilibrium ?The market equilibrium is described as the point where the supply and demand curves intersect. This point has the price of $ 6 and the quantity of 20 units as shown on the graph.
The revenue at this point is:
= 6 x 20
= $ 120
The price floor of $ 8 would mean that the minimum supply would be 30 units and the maximum demand would be 10 units which therefore creates a surplus.
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help would be great
The number of cakes that Andy, Betty, and Colin have will be 13, 52, and 16, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Andy has x cakes, Betty has 4x cakes, and Colin has x + 3. Then the equation is given as,
0.65(x + 4x + x + 3) = £52.65
Simplify the equation, then we have
0.65(x + 4x + x + 3) = £52.65
6x + 3 = 81
6x = 78
x = 13
Then the number of cakes that Betty has is given as,
4x = 4 (13)
4x = 52
Then the number of cakes that Colin has is given as,
x + 3 = 13 + 3
x + 3 = 16
The number of cakes that Andy, Betty, and Colin have will be 13, 52, and 16, respectively.
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Not understanding this question, question 2
The domain of the composite function (f o g)(4) for f(x) = 4x - 3 and g(x) = x³ + 2x is equal to -59.
What is composite functionA function is composite when the co-domain of the first mapping is the domain of the second mapping
We shall evaluate the domain of the function (f - g)(4) as follows:
(f - g) = 4x - 3 - (x³ + 2x)
(f - g) = 4x - 3 - x³ - 2x
(f - g) = 2x - 3 - x³
(f - g)(4) = 2(4) - 3 - (4)³
(f - g)(4) = 8 - 3 - 64
(f - g)(4) = -59
Therefore, the domain of the composite function (f o g)(4) for f(x) = 4x - 3 and g(x) = x³ + 2x is equal to -59.
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Solve 5^x − 4 = 7 for x using the change of base formula log base b of y equals log y over log b.
The value of x is 1.51.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]5^x[/tex] - 4 = 7
[tex]5^x[/tex] = 7 + 4
[tex]5^x[/tex] = 11
Taking logs on both sides.
log [tex]5^x[/tex] = log 11
x log 5 = log 11
x = log 11 / log 5
x = 1.04/0.69
x = 1.51
Thus,
x is 1.51.
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For the function defined here, find f(0), ƒ(2), and f(4) by using the graph below.
x² - 1
f(x) = {¹
-x+1
if
if
x < 2
x > 2
The values of the functions are f(0) = 2, f(2) = 0 and f(4) = -2
How to evaluate the piece-wise functionThe graph that completes the question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that the first curve is a quadratic function,
Also, it has an open circle at x = 1
So, we have:
x² + 2 if x < 1
Next, we have a linear equation with a closed circle at x = 1
So we have:
y = -x + 2 for x ≥ 1
This means that
f(0) = 0^2 + 2 = 0f(2) = -2 + 2 = 0f(4) = -4 + 2 = -2Read more about piecewise functions at:
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What is the difference in marcel and Stephanie tax burdens ?
Answer:
Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions
Step-by-step explanation:
applied partial differential equations with fourier series and boundary value problems 5th edition solution
The 5th edition of Applied Partial Differential Equations with Fourier Series and Boundary Value Problems by John D. Fenton covers a wide range of topics related to the use of Fourier series and boundary value problems to solve various partial differential equations.
The solution to the given differential equation is
[tex]$y(x) = \frac{-1}{2 \pi} \sin(4x)$.[/tex]
One example of a solution, to the ODE differential equation
[tex]$\frac{d^2y}{dx^2} + 4y = 0$[/tex]
with the boundary conditions
[tex]$y(0) = 0$[/tex] and [tex]$y(\pi) = 0$[/tex]
is given by the Fourier series
[tex]$y(x) = A \sin(2x) + B \cos(2x) + C \sin(4x) + D \cos(4x)$[/tex]
Where the constants A, B, C, and D are determined by the boundary conditions.
Using the boundary conditions, we find
[tex]$A = 0$[/tex] and [tex]$B = 0$[/tex]
[tex]$C = \frac{-1}{2 \pi}$[/tex] and [tex]$D = 0$[/tex]
Therefore, the solution to the given differential equation is
[tex]$y(x) = \frac{-1}{2 \pi} \sin(4x)$.[/tex]
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A baker is packaging her cupcakes into single serve boxes for a special event. Each
cube-shaped box has side lengths 3.5 inches (in.). The smaller boxes are then packed into a
larger box with dimensions of 10.5 in. x 7 in. x 7 in.
Please help me I have my math class tomorrow and tomorrow is also when it is due!!!
Answer: Sure! I'd be happy to help you with this.
To find the number of cupcake boxes that fit in the larger box, we need to find the volume of the larger box and divide it by the volume of one cupcake box.
The volume of the larger box is 10.5 x 7 x 7 = 572.5 cubic inches.
The volume of one cupcake box is 3.5 x 3.5 x 3.5 = 42.375 cubic inches.
Dividing the volume of the larger box by the volume of one cupcake box, we get 572.5 / 42.375 = 13.5.
So, 13.5 cupcake boxes will fit in the larger box.
Step-by-step explanation:
▲
Part 1 of 2
Use the graph to the right to complete the following. For
the graph, tick marks along the axes represent one unit
each.
a. Determine the x-intercepts, if any.
b. Determine the y-intercepts, if any.
a. What is/are the x-intercept(s)? Select the correct
choice below and, if necessary, fill in the answer box to
complete your choice.
A. The x-intercept(s) is/are
(Type an integer or a simpied fraction. Use a
comma to separate answers as needed.)
OB. There is no x-intercept.
O Points: 0
-6
-2
-4
A
Save
Q
x
The x intercept is x = 4 and the y intercept is y = 4.
What is the intercept of a graph?The intercept of a graph is a point at which the graph crosses either the x-axis or the y-axis. For a graph with an x-intercept, the y-coordinate is 0 and the x-coordinate gives the value at which the graph intersects the x-axis.
For a graph with a y-intercept, the x-coordinate is 0 and the y-coordinate gives the value at which the graph intersects the y-axis. In the context of a line or a linear regression model, the intercept is the value of the dependent variable (y) when the independent variable (x) is 0.
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Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7
Answer: 7
Step-by-step explanation:
Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.
Solve for the 2 problems below, show your work and submit the answers.
In the isosceles triangle, the value of x for the first figure is 15
for the second figure,
x = 5the missing angle is 110How to find the value of xThe value of x is solved using the knowledge of isosceles triangle
An isosceles triangle has the base angles equal hence
2x - 5 = 35
2x = 35 - 5
2x = 30
x = 15
Second figure
7x = 35
x = 5
let the angle at the peak be p
35 + 35 + p = 180 (sum of angles in a triangle)
70 + p = 180
p = 180 - 70
p = 110
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Please help me, it would be helpfull
Answer:
A:[tex]y = 4x + 3[/tex]
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