Answer:
b i believe
Step-by-step explanation:
HELP PLEASEEEEE!!!!!!!!!!!!!!!!!!!!
Factorize
64x³+343y³
Answer:
Here it is answer do others your self bcz it's easy
Ashley has 5 liters of punch. Megan has 4,700 milliliters of punch. Who has more punch?
perimeter: ______ cm
area: _______ cm squared
Answer:
perimeter: 29 cm
Area: 49.5 cm^2
Step-by-step explanation:
perimeter is 9.5 + 6 + 7 + 6.5 = 29
Area: 7 * 6 = 42
9.5 - 7 = 2.5
2.5 * 6 = 15
15/2 = 7.5
42 + 7.5 = 49.5
Yesenia and her brother are saving their money to buy a video game that costs $49.95. If Yesenia has $23.50 and her brother has $26.50, do they have enough money together to buy the video game?
Answer:
YES
Step-by-step explanation:
$23.50+$26.50=50
Jack is standing on the ground talking on his mobile phone. He notices a plane flying at an altitude of
2400 metres. If the angle of elevation to the plane is 70° and by the end of his phone call it has an angle
of elevation of 50°, determine the distance the plane has flown during Jack’s phone call - use the cosine rule
Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.
To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.
The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.
We know that the altitude of the plane remains constant at 2400 meters.
According to the cosine rule:
\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)
Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.
For the initial angle of elevation (70°), we have the equation:
\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)
Similarly, for the final angle of elevation (50°), we have:
\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)
To find the distance the plane has flown, we subtract the two equations:
\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)
Now we can solve this equation to find the value of a, which represents the distance the plane has flown.
Finally, we calculate the square root of \(a^2\) to find the distance in meters.
It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.
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find the taylor series centered at =−1. ()=73−2 identify the correct expansion. 7∑=0[infinity]35−1( 1) −7∑=0[infinity]35 1( 1) ∑=0[infinity]3−75 1( 1) ∑=0[infinity]37 1(−2)
The Taylor series for f(x) = e^(7x) centered at c = -1 is e^(-7) - 7e^(-7)(x+1) + 49e^(-7)(x+1)^2/2! - 343e^(-7)(x+1)^3/3! + 2401e^(-7)(x+1)^4/4! - ...
The Taylor series for a function f(x) centered at c is given by
f(x) = f(c) + f'(c)(x-c)/1! + f''(c)(x-c)^2/2! + f'''(c)(x-c)^3/3! + ...
To find the Taylor series for f(x) = e^(7x) centered at c = -1, we will need to calculate the derivatives of f(x) at c = -1.
f(x) = e^(7x)
f'(x) = 7e^(7x)
f''(x) = 49e^(7x)
f'''(x) = 343e^(7x)
f''''(x) = 2401e^(7x)
...
Evaluating these derivatives at c = -1, we get
f(-1) = e^(-7)
f'(-1) = -7e^(-7)
f''(-1) = 49e^(-7)
f'''(-1) = -343e^(-7)
f''''(-1) = 2401e^(-7)
...
Substituting these values into the Taylor series formula, we get:
e^(7x) = e^(-7) - 7e^(-7)(x+1) + 49e^(-7)(x+1)^2/2! - 343e^(-7)(x+1)^3/3! + 2401e^(-7)(x+1)^4/4! - ...
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The given question is incomplete, the complete question is:
Find the Taylor series centered at c= -1, f(x) = e^(7x)
please help and explain how you got the answer, please and thanks!!!!
Answer:
\((0,-5),(1,-\frac{17}{4} ),(2,-\frac{7}{2} )\)
Find the slope of the line that passes through the points. If necessary, leave your answer as a fraction, not a mixed number.
(-1, 7) and (5, 7)
(1, 2) and (5, 0)
The slope of the lines in the question are 0 and -1/2
Slope of a LineSlope of a line is the change in y-coordinate with respect to the change in x-coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = y₂ - y₁ / x₂ - x₁
a)
Taking the two points;
m = 7 - 7 / 5 - (-1)
m = 0
The slope is equal to 0
b)
Using the same formula above;
m = y₂ - y₁ / x₂ - x₁
m = 0 - 2 / 5 - 1
m = -2 / 4
m = -1/2
The slopes are 0 and -1/2
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\(19.32 - 23.5\)
Answer:
The answer to 19.32-23.5 is -4.18
true/false: the this pointer is automatically passed to static member functions of a class.
The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.
In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.
Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.
Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.
Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.
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George went to the supermarket and he bought bananas for his monkeys. They were $5.99. He got a family discount because his wife works there. The bananas are now 25% off. How much are the bananas now?
Answer:
5.74
Step-by-step explanation:
Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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Zachary purchased a computer for $1,700 on a payment plan. Seven months after he purchased the computer, his balance was $790. Eight months after he purchased the computer, his balance was
$660. What is an equation that models the balance y after x months?
The equation that models the balance y after x months is;
y = 1,700 - 130x
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
Zachary purchased a computer for $1,700 on a payment plan.
Seven months after he purchased the computer, his balance was $790.
Eight months after he purchased the computer, his balance was $660.
Now, Let months is represented by x and models the balance is represented by y.
So, We get;
For 0 months, balance is $1,700.
For 7 months, Balance is $790
For 8 months, balance is $660.
So, Slope = (1,700 - 790) / 7
= 910/7
= 130
And, Slope = (1,700 - 660) / 8
= 1,040/8
= 130
So, The equation with slope 130 and starting balance $1,700 will be;
y = 1,700 - 130x
Thus, The equation that models the balance y after x months is;
y = 1,700 - 130x
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Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $118,500 for Social Security and 1.45% for Medicare. Before this payroll, Richard is $1,000 below the maximum level for Social Security earnings. Richard is married, is paid weekly, and claims 2 exemptions. What is Richard’s net pay for the week if he earns $1,700?
Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.
First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.
Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.
To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.
Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.
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In the picture below, what is the angle relationship of <5 and <3 ?
Answer:
\(\huge\underline\mathtt\colorbox{cyan}{Alt-interior Angles}\)
Step-by-step explanation:
Angles 4 and 3 are a pair of alternate-interior angles which are equal in measure.
four politicians and three lawyers attend a party. each politician shakes hands exactly once with everyone, and each lawyer shakes hands exactly once with each politician. how many handshakes take place?
18 handshakes take place.
Given that four politicians and three lawyers attend a party. Each politician shakes hands exactly once with everyone, and each lawyer shakes hands exactly once with each politician. We need to find out the number of handshakes that take place. So, we can solve it as below:
First, let us find out how many handshakes take place among politicians. Since there are four politicians and each politician shakes hands exactly once with everyone. Thus, the total number of handshakes that take place between politicians = 3 + 2 + 1 = 6
Next, let us find out how many handshakes take place between lawyers. Since there are three lawyers and each lawyer shakes hands exactly once with each politician. Thus, the total number of handshakes that take place between lawyers and politicians = 3 × 4 = 12
Therefore, the total number of handshakes = Number of handshakes between politicians + Number of handshakes between lawyers and politicians= 6 + 12= 18
Hence, 18 handshakes take place.
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Compare the following investment options, showing all of your work: o Investment A: A monthly investment of $200 starting now and lasting for 40 years at a 9% annual interest rate, compounded monthly. o Investment B: A monthly investment of $400 starting in 20 years and lasting for 20 years at a 9% annual interest rate, compounded monthly.
Investment B provides a higher value in comparison to Investment A.
Given that Investment A: A monthly investment of $200 starting now and lasting for 40 years at a 9% annual interest rate, compounded monthly.
Investment B: A monthly investment of $400 starting in 20 years and lasting for 20 years at a 9% annual interest rate, compounded monthly.
To Find Investment A (The present value of annuity due)
PVAD=PMT*(((1-(1+r)^-n)/r)*(1+r))
Here, PMT=$200,
r=0.75%
= (9/12)% monthly interest rate,
n=40*12
months=480P
VAD=$200*(((1-(1+0.75%)^-480)/(0.75%))*(1+0.75%))
= $67,933.50
Investment B (The present value of annuity)
PVA= PMT*(((1-(1+r)^-n)/r))
Here, PMT=$400,
r=0.75%
= (9/12)% monthly interest rate,
n=20*12
=240 months
PVA=$400*(((1-(1+0.75%)^-240)/(0.75%)))
= $69,354.54
∴ Investment B provides a higher value in comparison to Investment A.
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the expected value of an unbiased estimator is equal to the parameter whose value is being estimated. true/false
The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.
An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.
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Which of the following best defines a ray?
a. a section of line with a defined starting point
b. a section of line
c. a side of a figure like a triangle or square
d. a section of line with defined endpoints
Answer:
A
Step-by-step explanation:
Rays start at one point and continue forever in the same direction. Based off of this, we can eliminate options B, C, and D because they are all talking about line segments, which are completely different than rays. Therefore, the answer is A.
Write and solve an equation to
find the number.
a) Seven less than twice a number
equals 19.
b) Eight decreased by 3 times a number equals 2.
Answer:
a. 13; Equation = 2N - 7 = 19
b. 2; 8 - 3N = 2
Step-by-step explanation:
a. 2N - 7 = 19
- 2N - 7 + 7 = 19 + 7
- 2N = 26 = 13
2 2
b. 8 - 3N = 2
8 - 8 - 3N = 2 - 8
- 3N = -6 = 2
-3 -3
53b−7b−6b+1 if b=25 Please help me with this problem! And what is the simplified expression?
Answer:1001
Step-by-step explanation:
hope this helps!
Answer:
The answer is 1001. The simplified expression is 40b+1. Hope this helps!
18k²+12j³-6k²+48
Simplify the expression by combining like terms.
Answer:
12j^3-12j^2+48)
Step-by-step explanation:
Any coefficients with the same power/exponent get added together. (18k^2-6k^2=12k^2).
suppose ruth ann has 3 routes she can travel between the school to the library, and 5 routes from the library to her home. how many routes are there from ruth ann's school to her home with a stop at the library?
Answer: Hello there!
There are 3 ways Ruth can go from high school to the library, and 5 ways she can go from the library to her home.
The number of possible combinations is equal to the product between the options of each event (where the events are going from high school to the library and going from library to her house):
\(3\times5 = 15\)
Then there are 15 different routes that Ruth can take from high school to her home, where she makes a stop at the library.
Solve for
Help me please
Answer:
x = 7
Step-by-step explanation:
tan 30 = x/7√3
tan 30 = 0.5774
x = 0.5774(7√3)
x = 7
Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 6% each year. In 2005, about $410 billion was spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2017? About $ billion will be spent at restaurants in 2017 if the trend continues
About $786 billion will be spent at restaurants in 2017 if the trend continues.
To solve this problemWe can use the formula for compound interest:
A = P(1 + r)^n
where:
A is the final amount
P is the initial amount
r is the annual interest rate
n is the number of years
In this instance, we're looking to determine how much will be spent at restaurants in 2017, which is 12 years from now, in 2005. The initial amount was $410 billion in 2005, and the yearly interest rate is 6%. We thus have:
A = 410(1 + 0.06)^12
A ≈ 786.34
Therefore, about $786 billion will be spent at restaurants in 2017 if the trend continues.
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Consider the equation 12x - 15y = 70
Solve for x (in terms of y)
Solve for y (in terms of x)
PLEASE HELP MEEEE IM IN A TEST!
Hello its my birthday :D I think A is correct ?? but if its not correct can someone please help
Answer:
You are correct I think :))) btw happy b day :D I hope ur wishes come true.
Write the equation of a line in point slope form that is PARALLEL 5x + 2y = 1 that passes through the point (- 2, - 3) .
Answer:
y = -5/2x - 13
Step-by-step explanation:
First, we have to find the slope of the original equation
Subtract 5x from both sides
5x + 2y = 1
- 5x - 5x
2y = -5x + 1
Divide both sides by 2
2y/2 = (-5x + 1)/2
y = -5/2x + 1/2
The slope of this equation is -5/2, so -5/2 has to be in our new parallel equation
y = -5/2x + b
Plug in the given x and y
-3 = -5/2(-2) + b
-3 = 10 + b
Subtract 10 from both sides
-3 = 10 + b
- 10 - 10
b = -13
This makes our equation: y = -5/2x - 13
Please help! I will give brainliest.
Answer:
the awnser is d bc it passes through the line