Answer:
62
Step-by-step explanation:
hope this helps
Write the equation of a line that is perpendicular to the line that passes through (4,−3)and (−7,8).
Line perpendicular to a given line is = 1/m
To find m, use m =y2-y1/x2-x1 formula
m = (8-(-3))/(-7-4)
m = 11/-11,
m = -1
Use y= mx+c to find equation of line
Plug in a pair of values,
-3= -1(4)+ c
c= 1
Thus, equation is:
y = -x+1
Equation of line perpendicular to this line is:
y= x+1
Hope it helps :)
Pls mark it as Brainliest :)
HELPPPP!! very important !!!
Answer:
The bottom right
Step-by-step explanation:
A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. Meaning no x values repeat. An easy way to test this is if you draw a vertical line anywhere it will only intersect with the function once.
This is because it is not possible to pass a vertical line through more than one point on the curve.
For the top right and bottom left corners, we can pass a vertical line through more than one point on the curve, so they fail the vertical line test. We can rule these choices out.
Any vertical line itself is not a function. A function is only possible if any x input leads to exactly one y output.
Please someone quick answer this!!!
To find a probability you take the specific parameters divided by the entire set of possibilities.
For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.
And we know that the total number of orders is 100.
So, we should divide 60 by 100, and we get 60%.
Solve for the missing side
Step-by-step explanation:
12²=a²+9²
144=a²+81
a²=144-81
a²=63
a=√63
a=7.94
1. Give the formula for the forward Fourier Transform for a signal, X(jω)=F{x(t)}. 2. Give the formula for the inverse Fourier Transform of a signal, x(t)=F−1{X(jω)}. Compare this to the formula from problem 1) above and discuss similarities and differences. What is the Fourier Transform property called which refers to the similarity between the two formulas? 3. Using the defining integral of the Fourier Transform, determine the transform of the following signal: x(t)=⎣⎡−1,1,0,−1
The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.
1. The forward Fourier Transform formula is given by:
X(jω) = ∫[x(t) * e^(-jωt)] dt
This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.
2. The inverse Fourier Transform formula is given by:
x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω
This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.
The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.
3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:
X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt
Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.
Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).
Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.
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Kevin purchased 5 hamburgers for $1.40 each and 6 sodas for $1.25 each. The tax on his order
was 8%. What was the total cost of Kevin's purchase?
A. $14.50
B. $15.66
C.$22.50
D. $14.58
Answer:
14.50
Step-by-step explanation:
hope this helps
The total cost of Kevin's purchase including tax would be $15.66
Calculating the cost of each item :
Cost of hamburgers = 5 × $1.40 = $7.00
Cost of Sodas = 6 × $1.25 = $7.50
The total cost of Kevin's purchases excluding tax is the sum of the items :
$7.00 + $7.50 = $14.50Tax paid on purchase :
8% × $14.50 = $1.16Therefore, The total amount paid including tax is ($14.50 + $1.16 = 15.66
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Answer the following question\(( - \frac{2}{3} \sqrt{6} )(9 \sqrt{3} \)
The expression is given as,
\(\frac{-2}{3}\times\sqrt[]{6}\text{ }\times\text{ 9}\sqrt[]{3}\)The given expression is simplified as follows:
\(\begin{gathered} =\frac{-2}{\sqrt{3}\times\sqrt[]{3}}\times\sqrt[]{3\text{ }}\text{ }\times\text{ }\sqrt[]{2}\text{ }\times\text{ 9 }\times\text{ }\sqrt[]{3} \\ =\text{ -2}\sqrt[]{2\text{ }}\text{ }\times\text{ 9} \\ =\text{ -18 }\sqrt[]{2} \end{gathered}\)Thus the result of the given expression is,
\(\text{-18 }\sqrt[]{2}\)Solve each of the following inequalities:
(if you could ,pls show me the steps.im kinda clueless in this topic)
1-) 15 + 3x < 21
2-)18 ≤ 7y + 4
3-) 19 - 4x ≥ 27
Answer:
1.x=12
2.y=2
3.x=2
Step-by-step explanation:
Solving an Inequality with No Solution
Write the inequality.
Distributive Property
Subtract 8x from each side
Simplify.
Angle d is a circumscribed angle of circle o. What is the perimeter of kite obde? 17 units 23 units 27 units 60 units.
The solution to this question is 27 units the perimeter of kite OBDE.
The definition of perimeterThe perimeter of a shape is the entire length of the shape's boundary as used in geometry. A form's perimeter can be calculated by adding the lengths of all of its sides and edges. In order to calculate it, linear distances such as centimeters, meters, inches, or feet are used.
Here
This is because 15x15 =225
8x8 = 64
225+64=289 and
the square root of 289 is 17 and that is the diameter of the circle and the hypotenuse of the triangle and since the kite has two congruent sides which are both radii or can be written as half of a diameter times two would be the same as the length of the diameter which is17+the two bottom sides (which are both 5 and 5 )
So 5+ 5 = 10 and
10 + 17 =27 or the perimeter of the kite.
Therefore ,the perimeter of kite OBDE is 27 units.
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determine the height of the tree
The height of the tree is solved to be 36 feet
What is proportions?In general, the term "proportion" refers to a part, share, or amount that is compared to a whole.
According to the definition of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilized.
How to find the height of the treeThe height of the tree is calculated using proportions
If man's height is 4 feet at 2 feet, then the height of the tree is calculated by
4 ft = 2 ft
? = 18 ft
cross multiplying
2 * ? = 4 * 18
? = 2 * 18
? = 36 ft
Using this proportion, the tree is 36 feet high
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PLEASE HELP ASAP!
The table shows a linear function.
Which equation represents the function?
Answer:
The answer seems to be A
Step-by-step explanation:
What is X
2(x−3)=8(x−6)
100 Points
Hey there!
The answer to your question is x = 7
We can solve this by simplifying both sides of the equation:
2x - 6 = 8x - 48
Then, add 48 to both sides:
2x + 42 = 8x
Then, subtract 2x from both sides:
42 = 6x
Lastly, divide both sides by 6:
7 = x
Hope it helps! Have a great day, and good luck on your assignment!
: The quantity demanded each month of the Walter Serkin recording Beethoven's Moonlight Sonata, produced by Phonola Media, is related to the price per compact disc. The equation p=-0.00052x + 6 (OS XS 12,000) where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The total monthly cost in dollars) for pressing and packaging x copies of this classical recording is given by C(x) = 600 + 2x - 0.00004x2 (OS X 20,000). Hint: The revenue is R(x) = px, and the profit is P(x) = R(x) - C(x). Find the revenue function, R(x) = px R(x) = Find the profit function, P(x) = R(x) - C(x). P(x) = Find the derivative of the profit function, P(x). P'(x) = Find the critical number of the function P(x). (Round your answer to the nearest whole number.) To maximize its profits, how many copies should Phonola produce each month? (Round your answer to the nearest whole number.) discs/month
The revenue function R(x) is -0.00052x^2 + 6x. The profit function P(x) is -0.00056x^2 + 4x - 600. The derivative of the profit function is -0.00112x + 4. The critical number of the function P(x) is x = 3571. Phonola should produce 3571 discs.
To find the revenue function R(x), we use the given equation p=-0.00052x + 6 and the definition of revenue, R(x) = px. Substituting p, we get R(x) = (-0.00052x + 6)x = -0.00052x^2 + 6x.
To find the profit function P(x), we subtract the cost function C(x) = 600 + 2x - 0.00004x^2 from the revenue function R(x) = -0.00052x^2 + 6x. Hence, P(x) = R(x) - C(x) = (-0.00052x^2 + 6x) - (600 + 2x - 0.00004x^2) = -0.00056x^2 + 4x - 600.
To find the derivative of the profit function, we differentiate P(x) with respect to x, P'(x) = -0.00112x + 4.
To find the critical number of the function P(x), we set P'(x) = 0 and solve for x, -0.00112x + 4 = 0, x = 3571.4. Rounding to the nearest whole number, the critical number is x = 3571.
To maximize its profits, Phonola should produce 3571 discs each month, which corresponds to the critical number we found.
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thianamccornell1 no one else
Answer:
Oh I see, that’s weird
Step-by-step explanation:
Maybe you have to wait a while or wait for somebody else to answer because that’s what happens to me sometimes
Convert each of the following measurements:
1) 18 meters =_________centimeters.
2) 5 pounds = __________ounces.
3) 6 quarts = __________fluid ounces.
4) 9 liters = ___________milliliters.
please answer this asap pls long explain
The correct values are;
1) 18 meters = 1,800 centimeters.
2) 5 pounds = 80 ounces.
3) 6 quarts = 192 fluid ounces.
4) 9 liters = 9,000 milliliters.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
There are some number to change in another units.
Now,
Change the units as;
1) Since, 1 meter = 100 centimeter
So, 18 meter = 18 x 100
= 1,800 centimeter
2) Since, 1 pound = 16 ounces
So, 5 pounds = 5 x 16
= 80 ounces
3) Since, 1 quart = 32 fluid ounces
So, 6 quarts = 6 x 32
= 192 fluid ounces
4) Since, 1 liters = 1,000 milliliters
So, 9 liters = 9 x 1,000
= 9,000 milliliters
Thus, The correct values are;
1) 18 meters = 1,800 centimeters.
2) 5 pounds = 80 ounces.
3) 6 quarts = 192 fluid ounces.
4) 9 liters = 9,000 milliliters.
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A distribution of values is normal with a mean of 90 and a standard deviation of 20. From this distribution, you are drawing samples of size 35. Find the interval containing the middle-most 48% of sample means: Enter your answer using interval notation. In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The interval containing the middle-most 48% of sample means is approximately [88.23, 91.77] (using interval notation).
To find the interval containing the middle-most 48% of sample means, we can use the Central Limit Theorem and the properties of the standard normal distribution.
Since the sample size is large (n = 35), we can approximate the distribution of the sample means to be normal with a mean equal to the population mean (μ = 90) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (σ/√n = 20/√35 ≈ 3.38).
To determine the interval containing the middle-most 48% of sample means, we need to find the z-scores that correspond to the lower and upper percentiles. The middle 48% corresponds to the range from the 26th percentile to the 74th percentile (100% - 48% = 52% / 2 = 26%).
Using a standard normal distribution table or a calculator, we can find the z-scores corresponding to these percentiles. The z-score for the 26th percentile is approximately -0.675 and the z-score for the 74th percentile is approximately 0.675.
Now, we can calculate the corresponding values for the sample means using the formula:
Sample Mean = Population Mean + (Z-Score) * (Standard Deviation / √Sample Size)
Lower Bound = 90 + (-0.675) * (20 / √35) ≈ 88.23
Upper Bound = 90 + (0.675) * (20 / √35) ≈ 91.77
Therefore, the interval containing the middle-most 48% of sample means is approximately [88.23, 91.77] (using interval notation).
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solve for x in [0, π]: 2 cos(x) > sec(x)
The value for x is 7π/6 and 11π/6.
sin2xsecx+2cosx=0
(2sinxcosx)(1/cosx)+2cosx=0
sinxcosx/cosx+2cosx=0
So,
2sinx+2cosx=0
2(sinx+cosx)=0
(2(sinx+cosx))²=0
4(sin²x+cos²x+2sinxcosx)=0
hence,
(sin²x+cos²x+2sinxcosx)/4=0/4
sin2x+cos2x+2sinxcosx=0
1+sin2x=0
sinx=−1/2
=7π/6 and 11π/6
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use the kkt
Use the method of steepest ascent to approximate the solution to max z = -(x₁ - 3)² - (x₂ - 2)² s. t. (x₁, x₂) E R²
To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.
The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².
To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).
Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.
By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.
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pls help..
You are building a scale model of a park that is planned for a city. The model uses the scale below. 1 centimeter = 2 meters. The park will have a rectangular reflecting pool with a length of 20 meters and a width of 12 meters. In your scale model, what will be the area of the reflecting pool?
O 60cm²
O 120cm²
O 480cm²
O 960cm²
In the scale model provided, the area of the reflecting pool will be 60 cm.
How to get the area of the reflecting poolTo get the area of the reflecting pool, we are given the scale:
1 centimeter = 2 meters. So, 20 cm will be 20/2 = 10 cm for the length of the pool. Also, the length of the width is 12/2 which is 6 cm.
The length of a rectangle is given as length * width. So, the area will be 10 times 6 which is 60 cm. Thus, the right option is A.
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Rationalize the denominator of 2/√3−1 Please give step by step answer
Answer:
√3 + 1
Step-by-step explanation:
Step below are self-explanatory
2/(√3−1)= 2×(√3 + 1)/(√3 - 1)×(√3 + 1) = multiplied both sides by √3 + 12×(√3 + 1)/(√3² - 1²)= used (a+b)(a-b)= a² - b² formula2×(√3 + 1)/(3 - 1)=2×(√3 + 1)/2= cancelled like terms√3 + 1Suppose you place your eye just above the edge of the pool, looking along the direction of the meter stick. What angle do you observe between the two ends of ...
The angle you would observe between the two ends of the meter stick if the pool is Part A empty is 18.92 degrees.
To determine the angle you observe between the two ends of the horizontal meter stick when the pool is empty, you can use the concept of similar triangles. The meter stick is 1.0 meter long and is centered at the bottom of the pool, so each half is 0.5 meters. The pool is 3.0 meters deep and 3.0 meters wide.
To find the angle, you can use the tangent function:
tan(θ) = opposite / adjacent
In this case, the opposite side is the half-length of the meter stick (0.5 meters), and the adjacent side is the depth of the pool (3.0 meters). So,
tan(θ) = 0.5 / 3.0
Now, to find the angle, use the inverse tangent function (arctan):
θ = arctan(0.5 / 3.0)
θ ≈ 9.46 degrees
Since there are two equal angles formed by the meter stick (one on the left and one on the right), the total angle you observe between the two ends of the meter stick would be:
Total angle = 2 * 9.46 ≈ 18.92 degrees
So, when the pool is empty, you observe an angle of approximately 18.92 degrees between the two ends of the horizontal meter stick.
Note: The question is incomplete. The complete question probably is: A horizontal meter stick is centered at the bottom of a 3.0-m-deep, 3.0-m-wide pool. Suppose you place your eye just above the edge of the pool, looking along the direction of the meter stick. What angle do you observe between the two ends of the meter stick if the pool is Part A empty? Express your answer with the appropriate units.
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amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?
Answer:
$27,444.80
Step-by-step explanation:
12% of 22,540 is 2,704.8
add the amount she made
add the weekly salary (550 × 4)
Here is a grid of squares.write down the ratio of the number of unshaded to shaded squares
The ratio of the number of unshaded to shaded squares is 7 : 3.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
It is also defined as the fraction of one quantity with respect to other.
The ratio of a and b is denoted as a : b.
Given is a grid of squares which is given below.
Total number of squares = 10
Of that,
Number of shaded squares = 3
Number of unshaded squares = 7
We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.
Ratio of unshaded squares to shaded squares = 7 : 3
Hence 7 : 3 is the ratio of unshaded to shaded.
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please help me with this one
Answer:
50.24
Step-by-step explanation:
a=(pi)r²
A =(pi)4²
A = 50.27
but I used the actual pi if you use 3.14 I think you'll get 50.24 but that's the closest answer.
Hope you get it right
Need help 6th grade math
Answer:
Where's the question?
Step-by-step explanation:
Answer:
Can you give the question in the comments, so I can answer it for you?
Step-by-step explanation:
Joy invests $13,000 into an account at an annual rate of 0.6% simple interest for 24 months. what is the principal?
Answer:
I would think the principal is $13,000
Step-by-step explanation:
Answer:
Principle =$13000
Step-by-step explanation:
i need help with solving please! thank you!
Answer:
C (5,3)
Step-by-step explanation:
I hope it is correct because I don't know if it is hope you also have a good day and pass this test
A bus makes a stop at 2:30, letting off 12 people and letting on 9. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer: bus makes a stop at 2:30, letting off 15 people and letting on 9
-15 + 9 = -6
The bus makes another stop ten mins later to let off 4 more people
-4
Happy to Help! (Now i must go back to my planet ^^)
Lucy got to work at 7:30z. After 4 hours and 10 minutes she had to leave when did she leave
the length of a rectangle is 5 times the width. if the perimeter is to be greater than 120 meters. what are the possible values for the width? (use w as the width)
The possible value for the width is 10.
What is the length of a rectangle?
Since its sides are coupled, it essentially only has two distinct dimensions. The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.
Here, we have
The length of a rectangle is 5 times the width
L = 5w
120 < Perimeter = 2L + 2w
= 2(5w) + 2w
= 10w+2w = 12w
10 > w
w < 10
Hence, the possible value for the width is 10.
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