Answer:
454.96
Step-by-step explanation:
Suppose that the total price of worth clothes equal : x
Rachel bought them with 12% off which means , Rachel bought them :
( x ) - ( 12x / 100 )
As the question told the above equation must equal 517$ , So :
( 100x / 100 ) - ( 12x / 100 ) = 517
100x - 12x / 100 = 517
88x / 100 = 517
multiply sides by 100
88x = 51700
Divide sides by 88
x = 587.5 $
Thus the total price is 587.5 $ .
Suppose a conic section passes through the point (2, - 7). If the conic section has focus ( - 1, -3), directrix 2 = 3, then it is a ellipse parabola hyperbola cannot be determined.
The conic section has focus ( - 1, -3), directrix 2 = 3, then it is a parabola.
How to find if the conic section is a ellipse parabola hyperbola?For a parabola, the focus and directrix play important roles in determining its shape. The distance between a point on the parabola and the focus is equal to the perpendicular distance between that point and the directrix.
Let's calculate the distances and verify if they are equal:
Distance between the point (2, -7) and the focus (-1, -3):
d₁ = √[(2 - (-1))² + (-7 - (-3))²] = √[9 + 16] = √25 = 5
Distance between the point (2, -7) and the directrix 2 = 3:
d₂ = |y - directrix| = |(-7) - 3| = |-10| = 10
Since d₁ ≠ d₂, we can conclude that the conic section cannot be an ellipse.
In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. However, in this case, the distances are not equal.
Similarly, for a hyperbola, the difference between the distances from any point on the hyperbola to the two foci is constant. Since the distances are not equal in this case, we can also rule out a hyperbola.
Therefore, based on the given information, the conic section is a parabola.
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Which expression is equivalent to
[tex](3 {u}^{3} {v}^{4}) ^{2} [/tex]
A.
[tex]3 {u}^{5} {v}^{6} [/tex]
B.
[tex]3 {u}^{6} {v}^{8} [/tex]
C.
[tex]9 {u}^{6} {v}^{8} [/tex]
D.
[tex]9 {u}^{5} {v}^{6} [/tex]
Answer:
C
Step-by-step explanation:
When 3 is squared, it becomes 9. That means that both A and B are incorrect.
The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.
let θ be an angle in quadrant iii such that = cos θ − 4 5 . find the exact values of csc θ and tan θ
Let θ be an angle in quadrant iii such that = cosθ − 45, the exact values of csc θ and tan θ are 5/3 and -3/4 respectively.
As an angle θ is in quadrant III, and cosθ = -4/5
To identify the exact value of cscθ and tanθ, we will first calculate the value of sinθ by using the Pythagorean identity
sin²θ + cos²θ = 1
⇒ sin²θ + (-4/5)² = 1
⇒ sin²θ = 1 - (-4/5)² = 1 - 16/25 = 9/25
⇒ sinθ = √(9/25) = 3/5
Now, we can calculate the value of cscθ as
cscθ = 1/sinθ = 1/(3/5) = 5/3
Next, we can estimate the value of tanθ by using the identity
tanθ = sinθ/cosθ= (3/5) / (-4/5) = -3/4
Therefore, the exact values of cscθ and tanθ are
cscθ = 5/3 and tanθ = -3/4.
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Find x. This is not drawn to scale.
H
150°
GX 54°
J
E
Are
F
Answer:
48°
Step-by-step explanation:
We solve the above question using circle theorem.
Finding x
The formula is given as
x = 1/2 (150° - 54°)
x = 1/2 (96)°
x = 48°
can I get a solution
[tex] \sqrt{x - 1} - 3 = 0[/tex]
is this solution correct or not can you please give me the following steps for this solution by solving for x if possible
Answer:
I don't think it is correct.
Step-by-step explanation:
Square root just means half of a number. If you square this number, it just goes back to it's original form, just without the square root sign. But however, You must square the 10 at the end of the equation as well. This solution is not correct.
Why didn't some materials Sink in water and some others didn't?
Answer: Materials sink in water depending on how heavy they are. It is about how heavy something is compared to the same amount (volume) of water. This ratio of an object’s mass to its volume is known as density. Density is what really determines whether something will sink or float.
the same
2. When graphing a system of equations with no solution, the y-intercept of the lines would be?
Answer:
not telling u, imbecil
Step-by-step explanation:
hahhahahahah
Calculate the total surface area of the pyramid. Show your work!
Answer: 22.44
Step-by-step explanation:
Base × Height /2 → (3 × 2.24)/2
3.36 · 4 = 13.44
13.44 + 3²
22.44
Select all the equations that are true when xis -4.
A)-8 = 2x
B) -12 = x.-3
C) -12 = x+x+x
D = -1
Ex+4 = -8
F = -16
Answer:
A,C and D are the correct options.
You arder eighteen borritos to go from a Mexican restaurant, nine with hot peppers and nine without. However, the restaurant forget to be them. If you ve buite stranicom, find the probability of the given event
Answer : The probability of the given event occurring would be 0.75 or 75%.
Explanation :The given problem states that you ordered eighteen burritos, with nine having hot peppers and nine not having hot peppers. However, the restaurant forgot your order. We are supposed to find the probability of the event happening.
Let the probability of getting a burrito with hot peppers be P(h) and the probability of getting a burrito without hot peppers be P(n).
The total number of burritos ordered is 18.
Thus, P(h) + P(n) = 18. We can assume that all burritos are the same.
Thus, P(h) = 9/18 = 0.5 and P(n) = 9/18 = 0.5.
Therefore, the probability of getting an order that is incorrect would be: 1 - (0.5 * 0.5) = 1 - 0.25 = 0.75 or 75%. Therefore, the probability of the given event occurring would be 0.75 or 75%.
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Question 1
Find mZN
620
K
N
Need help with this question?
Answer:
∠ N = 31°
Step-by-step explanation:
The inscribed angle KLN is half the measure of its intercepted arc KL, so
∠ N = [tex]\frac{1}{2}[/tex] × 62° = 31°
The cellphone Luke wants to buy is on sale for 15% off the original price. It was originally priced at $150. What is the amount of the discount?
What angle of rotation maps p onto P'?
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour
Answer:
c or d sorry if I'm wrong
Step-by-step explanation:
I think it's your d because of the shortest answers and they're the only two that makes sense
58, 72, 74, 92, 84, 40, 74, 81, 76, 83 What was the mean score on Mr. Shenton’s final exam?
Answer: 73.4
Step-by-step explanation:
To find the mean, you add up all your data value then divide the sum by the # of values in the set.
58 + 72 + 74 + 92 + 84 + 40 + 74 + 81 + 76 + 83
= 734
There are 10 numbers in the set.
734 ÷ 10 = 73.4
The mean score on Mr. Shenton's final exam is 73.4
The table below represents a linear function.
Х y
-1 5
1 9
3 13
5 17
Which function has a greater slope and a greater y-intercept than the linear functon represented
in the table?
UWA
A. y = 2x + 8.5
B. y = 3x + 7.5
C. y = 5x + 6.5
y = 10x + 5.5
The slope of AB of problem 7 is
Answer:
Slope of line is 0 and intercept is 7 Step-by-step explanation:
A piece of blue yarn is 8 3/10 yards long. A piece of pink yarn is 4 times as long as the blue yarn. What is the total length of the blue and pink yarn
Answer:
41.5 Yards
Step-by-step explanation:8 3/10 * 4 = 33.2,
33.2+8 3/10 = 41.5
Find the length of the missing side of the triangle to the nearest tenth.
Answer:
a = 18.8
Step-by-step explanation:
With it being a right angle, you can use the pythagorean theorem equation.
[tex]a^{2} + b^{2} =c^{2} \\a^{2} + 18^{2} =26^{2} \\a^{2} +324 = 676\\a^{2} = 676 - 324 \\a^{2} = 352\\a = \sqrt{352} \\a = 18.76 = 18.8[/tex]
At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.
Answer: Height of tree = 26 ft
Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.
Base = AC = 31
Perpendicular = CB = ?
Hypotenuse = AB
Using trigonometric equation
tan 40 (deg) = CB / AC
CB = Tan 40 x AC
CB = 0.83909 x 31
CB = 26.011
Thus the height of the tree = 26 ft
HELP Me PLEASE I'M BEGGING. I GOT TO SEND IT TONIGHT
Answer:
1. -34
Step-by-step explanation:
If a car travels at 60 MPH, how many seconds does it go per mile?
Answer:
60 seconds
Step-by-step explanation:
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 35.5 for a sample of size 767 and standard deviation 15.2. Estimate how much the drug will lower a typical patients systolic blood pressure (using a 90% confidence leve). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
_____<µ<______
The tri-linear inequality that estimates how much the drug will lower a typical patient's systolic blood pressure using a 90% confidence level is 34.5 < µ < 36.5.
Given that the sample mean of a blood-pressure drug is 35.5 for a sample size of 767 and standard deviation 15.2, to estimate how much the drug will lower a typical patient's systolic blood pressure, we use the following formula of a confidence interval:
Confidence interval = sample mean ± margin of error,
where the margin of error = z(α/2) * (σ/√n),
σ = 15.2, the standard deviation
n = 767, sample size
α = 0.10, level of significance
z(α/2) = 1.645 (from a standard normal distribution table)
Plugging in the values,
Margin of error = 1.645 * (15.2 / √767)≈ 1.02
Confidence interval = 35.5 ± 1.02≈ 34.5 < µ < 36.5
Therefore, the blood-pressure drug will lower a typical patient's systolic blood pressure within the range of 34.5 and 36.5.
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What is the length of AC
A)72
B)8
C)None of these
D)136
E)132
F)96
Rosie bought a ring in the USA she paid 345 US dollars work out in pounds the amount rosie paid for the ring
Answer:
Step-by-step explanation:
Find the area of the shape shown below. Please help :(
Answer:
the area is 42 square units
Step-by-step explanation:
lets break it down
12 x 1 = 12
12 x 5 = 60
60 / 2 = 30
12 + 30 = 42
there are 12 socks in flora drawer 9 are red and 2 are blue and 1 is green she take out one sock without looking at the color. What is the numerical probability of flora picking out a blue sock?
The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.
To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.
Given:
Total number of socks = 12
Number of red socks = 9
Number of blue socks = 2
Number of green socks = 1
The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:
Probability of picking a blue sock = Number of blue socks / Total number of socks
Probability of picking a blue sock = 2 / 12
Simplifying the fraction, we get:
Probability of picking a blue sock = 1 / 6
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1. Determine the value of y for y = x -2
x 9 -1 5 -7 3
y ? ? ? ? ?
Please help! (It's called functional relationships by the way) Will mark brainliest (If you send any cutt or tyink links that are scams, I WILL REPORT YOU SO DON'T ANSWER IF U DON'T KNOW!!!!!!!)
Answer: The answer is 3
Step-by-step explanation:
Hope this helps you! Have a good day! :)
Find the radius of the circle.
6(x – 3)2 + 6(y + 7)2 = 216
Answer:
radius=6
Step-by-step explanation:
Consider the initial value problem y" + 16 = 48t, y(0) = 5, y'(0) = 2. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(S). Do not move any terms from one side of the equation to the other (until you get to part (b) below). 48/s^2 help (formulas) b. Solve your equation for Y(s). Y(s) = L{y(t)} = (58^3+2s^2+48)/(s^2(s^2+16)) c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t).
a. To solve the initial value problem using Laplace transforms, we start by taking the Laplace transform of both sides of the given differential equation. The Laplace transform of y(t) is denoted as Y(s). The Laplace transform of the second derivative y"(t) can be expressed as s²Y(s) - sy(0) - y'(0), where y(0) and y'(0) are the initial conditions. The Laplace transform of 48t is simply 48/s².
Applying the Laplace transform to the given differential equation, we get:
s²Y(s) - sy(0) - y'(0) + 16Y(s) = 48/s²
Substituting the initial conditions y(0) = 5 and y'(0) = 2, we have:
s²Y(s) - s(5) - 2 + 16Y(s) = 48/s²
Simplifying this equation gives the corresponding algebraic equation in terms of Y(s).
b. Now, we solve the equation obtained in part (a) for Y(s). Rearranging the terms, we have:
(s² + 16)Y(s) = 48/s² + s(5) + 2
Combining like terms, we get:
(s² + 16)Y(s) = (48 + 5s² + 2s) / s²
Dividing both sides by (s² + 16), we obtain:
Y(s) = (48 + 5s² + 2s) / (s²(s² + 16))
So, Y(s) is equal to the Laplace transform of y(t).
c. To find y(t), we take the inverse Laplace transform of Y(s) obtained in part (b). We can use partial fraction decomposition and the properties of Laplace transforms to simplify the expression and find the inverse Laplace transform.
Taking the inverse Laplace transform of Y(s), we find:
y(t) = L^(-1){Y(s)} = L^(-1){(48 + 5s² + 2s) / (s²(s² + 16))}
The inverse Laplace transform can be calculated using tables or software, and it yields the solution y(t) to the initial value problem.
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