Answer:
1)
Step-by-step explanation:
After a 20% increase an article cost $270. The original cost of the article is
Answer:
$216.00
Step-by-step explanation:
Final price: $216.00
Saved amount: $54.00
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Classify VP in V
A. Chord
B. Radius
C. Secant
D. Tangent
The speed of light in a certain medium is 2.2 x 108 m/s. what is the index of refraction of this medium?
Answer:
The index of refraction of this medium is 1.4
Step-by-step explanation:
The refractive index, n, of a transparent medium is defined as the ratio of speed of light in vacuum to the speed of light in that medium.
Here the given speed of light in a certain medium is 2.2 x \(10^{8}\) and the speed of light is c= 3 x \(10^{8}\)
Refractive index = n= c/v
=3 x \(10^{8}\)/2.2 x \(10^{8}\)
= 1.36
= 1.4
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The refractive index of this medium is 1.4 .
The refractive index n of a transparent medium is defined as the ratio between the speed of light in a vacuum and the speed of light in that medium.
The refractive index variable is usually denoted by the letter n or n` in descriptive text and mathematical equations.
The refractive index measures the curvature of a ray of light as it travels from one medium to another.In simpler terms, the refractive index measures the change in speed of light as it travels through the medium from the air.
Here the given speed of light in a given medium is 2.2 x 10⁸ and the speed of light is c = 3 x 10⁸
Refractive index = n= c/v
=3 x 10⁸ / 2.2 x 10⁸
= 1.36
= 1.4
The refractive index of this medium is 1.4 .
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How much wrapping is needed to cover a cubed gift box that is 9 inches high? (Include the bow which takes 115 sq. inches.)
486 square inches
115 square inches
601 square inches
259 square inches
Answer: 601 square inches
Step-by-step explanation: the surface area of the cube is 486 sq in. so add that with 115, you get 601 sq in.
Hope this helps!
Answer:
601 square inches
Step-by-step explanation:
The perimeter and area of a rectangle with a length of 10 have the same numerical value. What is the width of the rectangle?
Answer:
b=2.5
Step-by-step explanation:
We know that,
Area of a rectangle= Length X Breadth
Perimeter of a rectangle= 2( Length + Breadth)
From the provided information we get that,
Area= Perimeter
lb=2(l+b)
Substituting l=10,
10b=2(10+b)
10b=20+2b
10b-2b=20
8b=20
b=20/8
b=2.5
The area for the circle below is
in.2.
Use 3.14 for π and type your answer to the nearest tenth.
D = 5in
I NEED HELP OR I WILL FAIL
Answer:
19.63 inches
Step-by-step explanation:
The area of a circle is found by using the formula
A = πr²
r is the radius of the circle, which is the diameter divided by two.
D = 5 in so r = D ÷2
5 ÷ 2 = 2.5 inches for the radius.
A = π (2.5)²
A = π (6.25)
A = (3.14)(6.25)
A = 19.625 inches
A plane flies between two cities 1836KM apart it travels at an average speed of 850 km/h calculate how long the flight takes give your answer in hours
3x^2 - 2x - 4 is divided by x - 3
Answer:
Step-by-step explanation:
Need help. Someone help!
Answer:<DBE+<DBA+<EBC=180(SUM OF INTERIOR ANGLE OF A TRIANGLE is 180)
<DBE+39+53=180
<DBE=180-92=88
88 is the answer. it helps you.
Answer:
88 \
Step-by-step explanation:
An inclined plane that forms a 30° angle with the horizontal is thus released from rest, allowing a thin cylindrical shell to roll down it without slipping. Therefore, we must determine how long it takes to travel five metres. Given his theta, the distance here will therefore be equivalent to five metres (30°).
The transformation of System A into System B is:
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The correct answer choice is option D
How can we transform System A into System B?
To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
System A:
-3x + 4y = -23 [A1]
7x - 2y = -5 [A2]
Multiply equation [A2] by 2
14x - 4y = -10
Add the equation to equation [A1]
14x - 4y = -10
-3x + 4y = -23 [A1]
11x = -33 [B1]
Multiply equation [A2] by 1
7x - 2y = -5 ....[B2]
So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
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The method 100 students use to get to
school and their grade level is shown below.
Walk
Drive
Sophomore 2
Junior
13
Senior
25
P(AnB)
P(B|A) = P(A)
Bus
25
20
5
MN5
3
2
5
Find the probability a student drives,
given that they are a senior.
P(drive | senior) = [?]
Round to the nearest hundredth
The probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.
How to find the Probability?
We can use Bayes' theorem to find the probability that a senior student drives to school, given that they are a senior.
First, we need to calculate the probability of a student being a senior:
\(P(senior) = \frac{25+5+5}{(2+25+3+13+20+2+25+5+5)} = \frac{35}{100} = 0.35\)
Next, we need to calculate the probability of a senior student driving to school:
P(drive ∩ senior) = 25/100 = 0.25
Now we can apply Bayes' theorem:
P(drive | senior) = P(drive ∩ senior) / P(senior)
P(drive | senior) = 0.25 / 0.35 ≈ 0.71
Therefore, the probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.
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The coordinates of Point A are (6,3). Point B is a reflection of Point A across the y axis. In which Quadrant is point B located?
point B is located in quadrant II (option B)
Explanation:Point A: (6, 3) = (x, y)
reflection of point A across the y axis:
The x coordinate will be negative and the y coordinate will remain the same
reflection of point A across the y axis = (-6, 3)
Attaching the graph showing the point after reflection:
Since point B is the reflection of point A.
Hence, point B is located in quadrant II (option B)
When the sum of 8 and 18 times a positive number is subtracted from the square of the number, 0 results. Find the number.
When the sum of 8 and 18 times a positive number is subtracted from the square of the number, 0 results. The number is 9 + 4√6.
Let us assume that x is a positive number.
Then, as per the question statement, we have;
(x²) - [(8 + 18x)] = 0
Now, we need to solve the given equation to find the value of x, i.e., the positive number.
Here's how we can do it;
(x²) - [(8 + 18x)] = 0
⇒ x² - 8 - 18x = 0
Using the quadratic formula to solve this equation, we get;
$$x=\frac{-b±\sqrt{b^2-4ac}}{2a}$$
Putting the given values in this formula, we get;
$$x=\frac{-(-18)±\sqrt{(-18)^2-4(1)(-8)}}{2(1)}$$
$$x=\frac{18±\sqrt{384}}{2}$$
$$x=\frac{18±8√6}{2}$$
$$x=9±4√6$$
Thus, we have two values for x as follows;
x = 9 + 4√6 or x = 9 - 4√6
However, we know that the given number is positive.
Therefore, the only valid solution is;
x = 9 + 4√6
Therefore, the number is 9 + 4√6.
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Please help me with the following problem:
3 1/3 × 2 1/8
Thank you!
Answer:
85/12 (or) 7 1/12
\(\frac{85}{12} (or) 7\frac{1}{12}\)
7.083 repeating
The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
Add the sum of (−5.4) and 8.2 to the opposite of (−2 3/4 ).
Answer:2
Step-by-step explanation:
-5.4+8.2=14/5 and then opposite of -2 3/4 is 2.
Convert 22 kilograms to pounds. (round
your answer to the nearest tenth)
1 lb = 0.4536 kg
1 kg = 2.205 lbs
22 kgs is equivalent to
lbs
Answer:
48.5 lbs
Step-by-step explanation:
lkg = 2.205 lbs
22kgs = 2.205 x 22
= 48.51 lbs
= 48.5 lbs (to the nearest tenth)
22 kilograms is equivalent to 48.5 pounds.
Given that we need to convert 22 kilograms to pounds.
We have,
1 lb = 0.4536 kg
1 kg = 2.205 lbs
To convert kilograms to pounds, you can use the conversion factor that 1 kilogram is equal to 2.205 pounds.
Therefore, to convert 22 kilograms to pounds, you can multiply 22 by 2.205:
22 kg x 2.205 lbs/kg = 48.51 lbs
Rounded to the nearest tenth, 22 kilograms is equivalent to 48.5 pounds.
Hence 22 kilograms is equivalent to 48.5 pounds.
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What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. 1.8 meters 3.7 meters 15.2 meters 18.8 meters
Here is the complete question.
\(Consider \ circle \ Y \ with \ radius \ 3 m \ and \ central \ angle \ XYZ \ measuring \ 70°. \\ \\ What \ is \ the \ approximate \ length \ of \ minor \ arc \ XZ?\\ \\ Round \ to \ the \ nearest \ tenth \ of \ a \ meter. \\ 1.8 meters \\ 3.7 \ meters \\ 15.2\ meters \\ 18.8 \ meters\)
Answer:
3.7 meters
Step-by-step explanation:
From the given information:
The radius is 3m
The central angle XYZ = 70°
To calculate the circumference of the circle:
C = 2 π r
C = 2 × 3.142 × 3
C = 18.852 m
Let's recall that:
The circumference length define a central angle of 360°
The approximate length of minor arc XZ can be determined as follow:
Suppose the ≅ length of minor arc XZ = Y
By applying proportion;
\(\dfrac{18.852}{360} = \dfrac{Y}{70}\)
Y(360) = 18.852 × 70
Y = 1319.64/360
Y = 3.66
Y ≅ 3.7 m
Answer:
B!!! 3.7
Step-by-step explanation:
ON EDG2020
Let us work through a numerical example to understand the Bellman equations. Let there be 4 possible actions, aj, a2, a3, 04, from a given state s, and let the Q* values be as follows: 10 = -1 Q* (s, aj) = Q* (s, a2) Q* (s, a3) = Q* (s, 04) = 0 11. Enter the value of V* (s) below:
Bellman equation usually refers to the dynamic programming equation associated with discrete-time optimization problems. The maximum value is -1. Therefore V*(s) = -1
In continuous-time optimization problems, the analogous equation is a partial differential equation that is called the Hamilton–Jacobi–Bellman equation. To calculate the value of V*(s) using the given Q* values, we need to find the maximum Q* value among all the actions in state s.
Given:
Q*(s, aj) = -1
Q*(s, a2) = 0
Q*(s, a3) = 0
Q*(s, a4) = 0
To find V*(s), we take the maximum Q* value:
V*(s) = max(Q*(s, aj), Q*(s, a2), Q*(s, a3), Q*(s, a4))
Comparing the Q* values, we can see that the maximum value is -1. Therefore:
V*(s) = -1
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z-16
27
Find the exact value of z.
Z=
Answer:
z = 43
Step-by-step explanation:
Answer:
z=43
Step-by-step explanation:
27 + 16 = 43
Hope this helps!
Find the value of x. Round your answer to the nearest tenth.
the rectangular garden shown has a width of 50 feet and a length of 45 feet and is surrounded by a paved path with a uniform width of x feet. if the combined area of the garden and the paved path is 2646 square feet, what is the value of x ?
Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.
The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,
we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.
Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet
Paved path:
If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.
Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50
The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet
= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675
We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646
= 64x² + 760x + 675 - 264664x² + 760x - 1971
= 0(8x - 27) (8x + 73) = 0
The value of x cannot be negative,
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IV Find the citical points at which profit (pie) is maximized given the total revenue TR=4700−302 and Total CostTC =320/10,500 (2pts) 1. Compute Marginal Revenue and Marginal Cost 2. Equate MR=MC to find Q
∗
3. Verify that Q* is a relative maximum point 4. Compute the maximum profit level (pie) )
∗
by establishing (pie)* =9( (pie) (Q
∗
)
To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).
Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.
Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.
To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.
Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.
Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).
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35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?
Answer:
70%
Step-by-step explanation:
Percentage is out of 100
35/50 change denominator
multiply both numerator and denominator by 2
70/100= 70%
What is associative property in math?
Answer:
This law simply states that with addition and multiplication of numbers, you can change the grouping of the numbers in the problem and it will not affect the answer. Subtraction and division are NOT associative.
Step-by-step explanation:
classfify each number below as a rational or irrational number
Answer:
Step-by-step explanation:
-14.76: Rational
-sqrt(64): 64 is a perfect square so it is rational
1.4444444… rational numbers repeat their decimal digits at one point or another, so this is rational
pi is irrational, so 19pi is irrational.
sqrt(2)*sqrt(2) is rational, but not 2sqrt(2). Irrational.
there are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and 3rd place. how many combinations of winners can there be?
There are 2,190 possible combinations of winners for the gaming tournament.
To find the number of combinations of winners for the tournament, we can use the formula for combinations: C(n,r) = n! / (r!(n-r)!), where n is the 88total number of items (in this case, the number of people in the tournament) and r is the number of items being chosen (in this case, the number of winners).
For this problem, we want to choose 3 winners from a group of 12 people, so n = 12 and r = 3. Plugging these values into the formula, we get:
C(12,3) = 12! / (3!(12-3)!) = (12 * 11 * 10) / (3 * 2 * 1) = 220
This tells us that there are 220 possible ways to choose 3 winners from a group of 12 people. However, this only gives us the number of possible combinations of winners, not the actual combinations themselves.
To find the actual combinations, we would need to list all of the possible sets of 3 winners, which would be impractical for a group of 12 people. Instead, we can use the formula to simply calculate the total number of combinations, which is 220. Therefore, there are 2,190 possible combinations of winners for the gaming tournament.
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(NR) Natural Resources:Question 7
What are natural resources?
A rectangle that is 2 inches by 3 inches has heen scaled by a factor of 7.
1. What are thr side lengths of the scaled copy?
2. Suppose you want to scale the copy back to its original size. What scale factor should you use?
Answer:
1. 14 inches and 21 inches
2.
\( \frac{1}{7} \)
Step-by-step explanation:
1.Since the rectangle has been increased by a factor of 7. Therefore
\(2 \times 7 = 14 \\ 3 \times 7 = 21\)
2. As you have increased it by a factor of 7. To reduce it, multiply by a factor of
\( \frac{1}{7} \)
Write an expression for this situation" "On Friday, Jim earned $5 for each of four hours work, then spent $4." How much did Jim have at the end of the day?
Answer:
$16
Step-by-step explanation:
We can subtract the amount he spent from the amount he earned to calculate how much Jim had at the end of the day.
The amount earned: $5 for each of four hours of work
So, the amount earned is: 4 hours * $5 per hour = $20
Amount spent: $4
We subtract the amount spent from the amount earned, to find out how much Jim had at the end of the day,
Amount at the end of the day = Amount earned - Amount spent
Amount at the end of the day = $20 - $4
Amount at the end of the day = $16
Therefore, Jim had $16 at the end of the day.