(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
Which expression represents a difference of squares? A. 4x2 − 16x B. t2 + 100 C. 25k − 64 D. 81 − 49y2
Answer:
I believe it would be C, not 100% sure though
Answer:
81-49y^2
Step-by-step explanation:
If f1 is 3. 8 i 6. 3 j and f2 is 9. 3 i 3. 0 j, what is the magnitude of the projection of f1 onto the line of action of f2?
The magnitude of the projection of f1 onto the line of action of f2 is approximately 3.99.
To find the magnitude of the projection of vector f1 onto the line of action of vector f2, you can use the formula:
Magnitude of the projection = |f1| * cos(θ)
where |f1| is the magnitude of vector f1, and θ is the angle between vectors f1 and f2.
First, let's calculate the magnitude of f1:
|f1| = √(\((3.8)^2 + (6.3)^2)\)
|f1| = √(14.44 + 39.69)
|f1| = √54.13
|f1| ≈ 7.36
Next, we need to find the angle θ between f1 and f2. The dot product of two vectors is given by:
f1 · f2 = |f1| * |f2| * cos(θ)
where f1 · f2 represents the dot product of f1 and f2.
f1 · f2 = (3.8 * 9.3) + (6.3 * 3.0)
f1 · f2 = 35.34
Now we can solve for cos(θ):
cos(θ) = (f1 · f2) / (|f1| * |f2|)
cos(θ) = 35.34 / (7.36 * 9.3)
cos(θ) ≈ 0.542
Finally, we can calculate the magnitude of the projection:
Magnitude of the projection = |f1| * cos(θ)
Magnitude of the projection ≈ 7.36 * 0.542
Magnitude of the projection ≈ 3.99
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512,500 in three significant figures :)
Answer:
add them the answer is 6 of both significant figures.
Step-by-step explanation:
512 has three significant digits.
500 has also three significant digits.
no we add them the answer is 6 of both significant figures.
Find fy (x,y) for f(x,y)=e^xy/xy
fy(x, y) = (e^(xy)(x - 1)) / xy^2. This is the partial derivative of f(x, y) with respect to y.
To find fy(x, y) for the function f(x, y) = e^(xy)/(xy), we use the partial derivative with respect to y while treating x as a constant.
Let's begin by rewriting the function as f(x, y) = (1/xy) * e^(xy).
To differentiate this function with respect to y, we apply the quotient rule. The quotient rule states that for a function u/v, where u and v are functions of y, the derivative is given by:
(uv' - vu') / v^2.
In our case, u = e^(xy) and v = xy. Taking the derivatives, we have:
\(u' = (d/dy)(e^(xy)) = xe^(xy),\)
v' = (d/dy)(xy) = x.
Plugging these values into the quotient rule formula, we get:
fy(x, y) = [(xy)(xe^(xy)) - (e^(xy))(x)] / (xy)^2.
Simplifying further, we have:
fy(x, y) = [x^2e^(xy) - xe^(xy)] / (xy)^2
= [x(xe^(xy) - e^(xy))] / (xy)^2
= (x^2e^(xy) - xe^(xy)) / (xy)^2
= (xe^(xy)(x - 1)) / (xy)^2
= (e^(xy)(x - 1)) / xy^2.
Therefore,\(fy(x, y) = (e^(xy)(x - 1)) / xy^2.\)This is the partial derivative of f(x, y) with respect to y.To find fy(x, y) for the function f(x, y) = e^(xy)/(xy), we use the partial derivative with respect to y while treating x as a constant.
Let's begin by rewriting the function as f(x, y) = (1/xy) * e^(xy).
To differentiate this function with respect to y, we apply the quotient rule. The quotient rule states that for a function u/v, where u and v are functions of y, the derivative is given by:
(uv' - vu') / v^2.
In our case, u = e^(xy) and v = xy. Taking the derivatives, we have:
u' = (d/dy)(e^(xy)) = xe^(xy),
v' = (d/dy)(xy) = x.
Plugging these values into the quotient rule formula, we get:
fy(x, y) = [(xy)(xe^(xy)) - (e^(xy))(x)] / (xy)^2.
Simplifying further, we have:
fy(x, y) = [x^2e^(xy) - xe^(xy)] / (xy)^2
= [x(xe^(xy) - e^(xy))] / (xy)^2
= (x^2e^(xy) - xe^(xy)) / (xy)^2
= (xe^(xy)(x - 1)) / (xy)^2
= (e^(xy)(x - 1)) / xy^2.
Therefore,\(fy(x, y) = (e^(xy)(x - 1)) / xy^2.\)This is the partial derivative of f(x, y) with respect to y.
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Can someone plz help me
the area is 254.34 sq. ft.
Answer:
254.34 ft²
Step-by-step explanation:
diameter = 18 feet
radius = 18/2 = 9 feet
Area = pi x r²
= pi x 9²
= pi x 81
= 254.34 ft²
I’ll give you brainliest!!!!! Answer ASAP!!!! What is the first step in solving the equation?
Answer:
I think it is C. But i'm probably wrong. I had the same thing but i forget it.
Step-by-step explanation:
Hope it helps.
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 17.
The range is the best measure of variability, and it equals 4.
The IQR is the best measure of variability, and it equals 4.
The range is the best measure of variability, and it equals 17.
The IQR is the best measure of variability, and it equals 4.
I need help on number one please!
Points!!!
Answer:
i cant see question one very much
Step-by-step explanation:
Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents function. the equation y = 6 + 0.25 ln x represents function. the equation y = startfraction 18 over 1 + 6 e superscript negative 0.25 x baseline endfraction represents function. the equation y = 5x3 + 8 represents function.
The functions and their descriptions are:
Polynomial: \(y = \frac{5x^3}{8}\) and \(y = 5x^3 + 8\)Logarithm: \(y = 6 + 0.25\ln(x)\)Exponential \(y = \frac{18}{1 + 6e^{-0.25x}}\)How to describe the functions?The functions are given as:
\(y = \frac{5x^3}{8}\)
\(y = 6 + 0.25\ln(x)\)
\(y = \frac{18}{1 + 6e^{-0.25x}}\)
\(y = 5x^3 + 8\)
The functions would be described based on the type of function they represent.
Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.
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Answer:
Select the correct word to describe the function.The equation represents ✔ a powera logistica logarithmican exponential function.The equation y = 6 + 0.25 ln x represents X a logistica polynomial✔ a logarithmican exponential function.The equation represents a power✔ a logistica polynomiala logarithmic function.The equation y = 5x3 + 8 represents a powera logistic✔ a polynomialan exponential function.
Step-by-step explanation:
you are so welcome
an ellipse has foci at and . it has two -intercepts, one of which is the origin. what is the other one? enter your answer as an ordered pair.
The other x-intercept of the given ellipse cannot be determined with the information provided. The equation of the ellipse depends on the lengths of the semi-major and semi-minor axes, which are not specified. Therefore, there are multiple ellipses that can satisfy the given conditions, resulting in different values for the other x-intercept.
To find the x-intercepts of the ellipse, we need to determine the equation of the ellipse first. The standard form equation of an ellipse with foci at (h, k ± c) and x-intercepts (h ± a, k) is given by:
((x - h)² / a²) + ((y - k)² / b²) = 1
Where (h, k) represents the center of the ellipse, a is the semi-major axis length, b is the semi-minor axis length, and c represents the distance from the center to each focus.
In this case, the center of the ellipse is at (h, k) = (1.5, 1), and the distance between the center and each focus is given by c = 2.
Substituting these values into the equation, we have:
((x - 1.5)² / a²) + ((y - 1)² / b²) = 1
Now, since one of the x-intercepts is at the origin (0, 0), we can substitute these values into the equation to solve for a and b:
((0 - 1.5)² / a²) + ((0 - 1)² / b²) = 1
(2.25 / a²) + (1 / b²) = 1
Simplifying this equation, we get:
2.25 / a² + 1 / b² = 1
Now, we need to find the other x-intercept, which means finding the value of x when y is 0. Substituting y = 0 into the equation, we have:
((x - 1.5)² / a²) + ((0 - 1)² / b²) = 1
(x - 1.5)² / a² + 1 / b² = 1
Since one of the x-intercepts is at the origin, we know that x = 0 satisfies this equation:
(-1.5)² / a² + 1 / b² = 1
2.25 / a² + 1 / b² = 1
Now we have two equations:
2.25 / a² + 1 / b² = 1 (Equation 1)
2.25 / a² + 1 / b² = 1 (Equation 2)
Both equations are the same, so we can combine them:
2.25 / a² + 1 / b² = 1
Since both equations are identical, there are infinite solutions for a and b that satisfy this equation. Therefore, there is no unique value for the other x-intercept of the ellipse.
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The complete question is :
An ellipse has foci at (0,2) and (3,0). The ellipse has two x-intercepts, one of which is the origin. What is the other x-intercept?
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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10. Draw a second line on the graph in order for the system to have NO SOLUTION.
O
Write BOTH equations
for this system.
Original Line
Your Line
3456789
m=
m=
b=
b=
equation:
equation:
Answer:
Step-by-step explanation:
A parallelogram with vertices H(-2, 2),
J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.
H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?
A. (x,y) -> (3x, 3y)
Original
B. (x,y) -> (2.5x, 2.5y)
C. (x,y) -> (2x, 2y)
D. (x,y) -> (1.5x, 1.5y)
Answer: B
Step-by-step explanation:
-0.5f - 4.52 = -25.52 + f HELP PLEASE
Answer:
-0.5f - 4.52 = -25.52 + 1f
-1.5f = 21
f = 14
Answer:
14
Step-by-step explanation:
-4.52 + 25.52 = f + 0.5f
21 = 1.5f
f = 14
Solve the equation using number sense. I hope ya'll can understand this because i can't lol, thxs.
3d + 18 = 21
A: -1
B: 1
C: 3
D: 13
Answer: B: 1
Step-by-step explanation:
Since we already know 3 + 18 = 21, then it would only make sense for 3 x 1 + 18 to equal 21. Even then, the other answers are incorrect by process of elimination
x is an integer Write down all the solutions of inequality 3<2x +1 < 13
Answer:
1<x<6
Step-by-step explanation:
subtract 1 from every side: 2<2x<12
divide 2 every side: 1<x<6
Answer:1
Step-by-step explanation:
please help! (URGENT)
Geometric Series (attached image) muiltx choice
WILL GIVE THANKS !!
Answer:
Step-by-step explanation:
(B). - 28.7
4. Daesha planted 30 rosebushes, but only 60% blossomed. How many rosebushes
blossomed?
Answer:
18 rosebushes.
Step-by-step explanation:
we are finding 60% of 30, since the total is 30.
(60/100)* 30
=(6/10)*30
=180/10
=18
18 of the 30 rosebushes that were planted blossomed.
Please, rate 5 stars, give brainliest, thank. Thank you.
an online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store charges to ship n boxes. Use the explicit formula to determine how much you online store charges when shipping 11 boxes.
Answer:
An explicit formula for the shipping cost is = . The store charges $55 when shipping 11 items.
Step-by-step explanation:
An online store charges when shipping 11 boxes would be; 55 dollars
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with their adjacent terms differing with one common difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term, and the common difference.
Given that the online store charges $5 to ship one box and $10 to ship two boxes.
We have to write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.
From what we know so far;
y = 5n
Now Using the explicit formula to determine how much the online store charges when shipping 11 items.
y = 5(11)
y = 55 dollars
Hence, A online store charges when shipping 11 boxes would be; 55 dollars
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Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month, how much does he have to spend after paying his bills?
The solution is, $210 does he have to spend after paying his bills.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
given that,
Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month,
i.e. we get,
Drake’s monthly outlay include a $70 phone bill and a $120 car.
so, total spend = $ 120 + 70
= $190
now, we have to find how much does he have to spend after paying his bills.
so, we have to subtract 190 from 400
i.e. 400 - 190
=210
Hence, $210 does he have to spend after paying his bills.
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Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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For an important test, Juan studied for 2 h 20 min, while Ken studied for two thirds of an hour. What percent of Ken's study time was Juan's?
Will give brainliest stars and thx if the answer is right
=========================================================
Explanation:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
2 hrs + 20 min = 120 min + 20 min (add 20 min to both sides)
2 hrs, 20 min = 140 min
Juan studied for 140 min
---------------------
Ken studied for 2/3 of an hour, so he studied for (2/3)*60 = 120/3 = 40 min
We see that Juan studied more than Ken, so that must mean Juan's study time as a percentage of Ken's study time is over 100%
This is because
100% of 40 min = 1.00*40 = 40 min200% of 40 min = 2.00*40 = 80 min300% of 40 min = 3.00*40 = 120 minand so on
We divide Juan's time by Ken's time to get: 140/40 = 3.5 = 350%
350% of Ken's study time was Juan's study time.
In other words, if we take 350% of the 40 min figure, then we get 3.5*40 = 140 which represents Juan's study time.
If your teacher asked the reverse of this, and instead asked "what percent of Juan's study time was Ken's?", then the answer would be 40/140 = 0.2857 = 28.57% approximately.
Find the gradient of the straight line whose equation is 3y+x=5
Answer:
gradient = - \(\frac{1}{3}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
given
3y + x = 5 ( subtract x from both sides )
3y = - x + 5 ( divide through by 3 )
y = - \(\frac{1}{3}\) x + \(\frac{5}{3}\) ← in slope- intercept form
with gradient m = - \(\frac{1}{3}\)
who do you solve this?
Answer:18
Step-by-step explanation: the other side is 20 and there the same length so y is 18 because 18+2=20
Solve algebraically
x2 + y2 = 18
x-2y=-3
Answer:
(- \(\frac{3}{5}\), - \(\frac{21}{5}\) ) and (3, 3 )
Step-by-step explanation:
Given the 2 equations
x² + y² = 18 → (1)
x - 2y = - 3 → (2)
Rearrange (2) expressing x in terms of y by adding 2y to both sides.
x = 2y - 3 → (3)
Substitute x = 2y - 3 into (1)
(2y - 3)² + y² = 18 ← expand left side and simplify
4y² - 12y + 9 + y² = 18
5y² - 12y + 9 = 18 ( subtract 18 from both sides )
5y² - 12y - 9 = 0 ← in standard form
(5y + 3)(y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
5y + 3 = 0 ⇒ 5y = - 3 ⇒ y = - \(\frac{3}{5}\)
y - 3 = 0 ⇒ y = 3
Substitute these values into (3) for corresponding values of x
y = - \(\frac{3}{5}\) : x = - \(\frac{6}{5}\) - 3 = - \(\frac{21}{5}\) ⇒ ( - \(\frac{3}{5}\), - \(\frac{21}{5}\) )
y = 3 : x = 6 - 3 = 3 ⇒ (3, 3 )
Help! 10 points & Brainliest to correct answer! (I just need a simple answer)
How do I graph an inequality in one variable?
Answer:
find the value of the inequality on the number line
Step-by-step explanation:
do open circle for greater or less than
do closed circle for equal to
draw line left or right based on greater or less than
Answer:
Step-by-step explanation:find the value of the inequality on the number line
two equal-size vectors at right angles to each other have a resultant that is
Two equal-size vectors at right angles to each other have a resultant that is equal to \(\sqrt{2}\) times the magnitude of each individual vector.
The magnitude of the resultant vector of two equal-size vectors at right angles to each other can be determined using the Pythagorean theorem.
Let's assume the magnitude of each vector is represented by "a".
According to the Pythagorean theorem, the magnitude of the resultant vector, denoted as "R", can be calculated as:
R =\(\sqrt{a^2 + a^2}\)
R = (\(\sqrt{2a^{2} )}\)
R = \(\sqrt{2}\) a
Therefore, the magnitude of the resultant vector is equal to \(\sqrt{2}\) times the magnitude of each individual vector.
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