The discount is 26%.
What is Discount?The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.
Given:
Marked price = $25
Selling price = $18.50
So,
Discount = MP - SP
Discount = 25-18.50
Discount = 6.50
Now,
D% = D/MP *100
D% = 6.5 /25*100
D% = 26%
Hence, the discount percent is 26%.
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A group of 500 transistors is known to contain one defective unit. What is the probability that a transistor selected at random from the lot is the bad one?
The answer is 1/500 because it will always be the probability of the event occurring/total events
Cody graphed a quadratic equations, y = -(x+3)^2 + 1. What were cody's mistakes?
Answer:
the answer is d
Step-by-step explanation:
The vertex and the axis of symmetry are graphed incorrectly.
I don't get it x/5 + x+4/3 = 4
How to find common difference of arithmetic sequence given first and last term?
To find the common difference, subtract the first term from the last term and divide by the number of terms minus 1.
Explanation:To find the common difference of an arithmetic sequence given the first and last term, you can use the formula: common difference = (last term - first term) / (number of terms - 1). First, subtract the first term from the last term. Then, subtract 1 from the number of terms. Finally, divide the result of the subtraction by the number of terms minus 1 to find the common difference.
On a trip, you had to change your money from dollars to British pounds. You got 560 pounds for 800 dollars. How many pounds will you get for 300 dollars?
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A six-feet-tall man looks off the roof of a five-story hotel. He sees a statue that is 75 ft. away from the hotel. If he is looking at the base of the statue, what angle does his sight line form with the side of the hotel? Assume that each complete story of the hotel is 12 ft. tall.
32.6 degrees
43.9 degrees
48.7 degrees
54.2 degrees
Answer: 48.7 degrees
Step-by-step explanation:
Let [tex]\theta[/tex] is the angle between the his sight line form with the side of the hotel,
Since, the building is of 5-story and a men having height 6 feet is in the fifth-story.
Thus, the total length from the eyes of the man and foot of the building = 6 + 12 × 5 = 6 + 60 = 66 feet
Also, the distance of the statue from the foot of the building = 75 feet.
Then by the below diagram,
[tex]tan\theta = \frac{75}{60+6}[/tex]
[tex]tan\theta = \frac{75}{66}[/tex]
[tex]\theta=48.6522227803\approx 48.7\text{ degree}[/tex]
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Does each transformation map a triangle in Quadrant II to Quadrant I?
Select Yes or No for A-C.
Please help!! A fire hydrant 2.5 feet high casts a 5 foot shadow. How tall is a street light that casts a 26 foot shadow at the same time?
The graph shows the amount of money the Phillips family spent each month on groceries.
When did the greatest month-to-month increase in spending occur?
July–August
April–May
June–July
May–June
Answer:
Option A. July-August.
Step-by-step explanation:
Phillips family spent each month on groceries. The amount of money in each month is shown in a graph.
Approximate amount in each month was spent :
March : $450
April : $400
May : $400
June : $500
July : $300
August : $ 500
Sep. : $480
Oct. : $420
From the graph given, there is a greatest month to month increase in spending occur in July to August (from $300 to $500).
So Option a. July-August is the correct answer.
Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x 3 + 44x 2 y + 17 and y 3 - 11xy 2 + 2x 2 y - 13x 3? y 3 - 6x 3 + 33x 2y + 2xy 2 + 17 20x3 - y3 + 33x 2y + 2xy 2 + 17 31x 3 - 6x 3 + 44x 2y + 11xy 2 + 17 32x 3 - y 3 + 42x 2y + 11xy 2 + 17
Answer:
32 x^3 - y^3 + 42 x 2y + 11 xy^2 + 17
Question 1: if you were to calculate a confidence interval using a confidence level of 0.9 and then calculated a second confidence interval using the same data but changed the confidence level to 0.95, would the interval be more narrow or wider?
The 95 percent confidence interval is wider than the 90 percent confidence interval because the 95 percent level of confidence includes more of the distribution. This means there is a greater level of certainty that the true value of the population mean is contained within the interval.
Explanation:The 90 percent confidence interval is (67.18, 68.82). The 95 percent confidence interval is (67.02, 68.98). The 95 percent confidence interval is wider. If you look at the graphs, because the area 0.95 is larger than the area 0.90, it makes sense that the 95 percent confidence interval is wider. For more certainty that the confidence interval actually does contain the true value of the population mean for all statistics exam scores, the confidence interval necessarily needs to be wider.
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Ciara solved the exponential equation 3x+1 = 15 and her work is shown below. What is the first step she did incorrectly? (3 points) Step 1: log 3x+1 = log15 Step 2: (x + 1)log 3 = log15 Step 3: log3 = log 15 over x plus 1 Step 4: 0.477121 = 1.176091 over x plus 1 Step 5: 0.477121(x + 1) = 1.176091 Step 6: x + 1 = 1.176091 over 0.477121 Step 7: x + 1 = 2.464975 Step 8: x = 1.464975
Answer:
The Answer is Step 3. I took the test :)
Find the value of y for which line a is parallel to line b
38
52
76
142
Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES = 10, then RO = 27 30 38
Answer:
The length of RO is 38.
Step-by-step explanation:
Given information: ROSE is trapezoid with median If MN = 24 and ES = 10.
Sufficient information is not given. This question can be solved if it is given that [tex]RO\parallel ES[/tex].
According to the properties of trapezoid the length of the median is the average of length of parallel sides.
Let [tex]RO\parallel ES[/tex] and length of RO be x.
Since MN is median, therefore
[tex]MN=\frac{RO+ES}{2}[/tex]
[tex]24=\frac{x+10}{2}[/tex]
[tex]48=x+10[/tex]
[tex]x=38[/tex]
Therefore length of RO is 38.
Rodney bought a 25-pound bag of dog food.His dog at 10 2/5 pounds of food in the first month and 10 4/5 pounds of the food in the second month.How much dog food,in pounds, was remaining in the bag at the end of the two months
how many bricks 3.75 in wide times wide x 8 in long are required to cover a patio 13 ft. 6 in wide by 18. 9 ft long
ABE Software creates customized software that sells for $3,816,981.10 total. ABE Software’s cost is $1,723,000.00 and overhead expenses are estimated at 47% of the selling price. What is ABE Software’s net profit to the nearest dollar?
128,96,72,54,...find the common ratio
To find the common ratio of the given sequence, divide each term by the previous term. The common ratio is 0.75.
Explanation:The given sequence is: 128, 96, 72, 54, ...
To find the common ratio, we need to determine the ratio between consecutive terms. We can do this by dividing each term by the previous term.
Ratio between the 2nd and 1st terms: 96/128 = 0.75
Ratio between the 3rd and 2nd terms: 72/96 = 0.75
Ratio between the 4th and 3rd terms: 54/72 = 0.75
Since the ratio is the same for all consecutive terms, we can conclude that the common ratio of this geometric sequence is 0.75.
The correct common ratio for the given sequence is [tex]\(\frac{3}{4}\) or 0.75.[/tex]
To find the common ratio of the sequence, we divide each term by the previous term and look for a consistent value:
1. For the second term, \(96\), divided by the first term, [tex]\(128\)[/tex], we get:
[tex]\[ \frac{96}{128} = \frac{3}{4} = 0.75 \][/tex]
2. For the third term, [tex]\(72\),[/tex] divided by the second term, [tex]\(96\),[/tex] we get:
[tex]\[ \frac{72}{96} = \frac{3}{4} = 0.75 \][/tex]
3. For the fourth term, [tex]\(54\),[/tex] divided by the third term, [tex]\(72\)[/tex], we get:
[tex]\[ \frac{54}{72} = \frac{3}{4} = 0.75 \][/tex]
Sam used 2 gallons of gas to drive 50 miles and 4 gallons of gas to drive 100 miles. Is this a proportional relationship? Explain your reasoning.
Sam's gas usage is a proportional relationship because he gets a constant 25 miles per gallon in both given scenarios.
Yes, this is a proportional relationship. To determine proportionality, we can calculate the gas mileage for each scenario. Gas mileage is calculated by dividing the number of miles driven by the number of gallons used. For the first scenario, the gas mileage is 50 miles / 2 gallons = 25 miles per gallon. In the second scenario, the gas mileage is 100 miles / 4 gallons = 25 miles per gallon. Since the gas mileage is the same in both cases, it indicates a proportional relationship.
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A cylinder has a radius of 10 feet and a height of 11.4 feet. What is the approximate volume of the cylinder? Use 3.14 for pi.
A: 114.0 ft3
B: 228.0 ft3
C: 2145.1 ft3
D: 3579.6 ft3
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Find the range of each function for the domain {-4, -2, 0, 1.5, 4}. f(x) = 5x^2 + 4
To find the range of the function f(x) = 5x^2 + 4 for the given domain {-4, -2, 0, 1.5, 4}, evaluate the function for each value in the domain and find the minimum and maximum outputs. The range of the function is {4, 84}.
Explanation:To find the range of the function f(x) = 5x^2 + 4 for the given domain {-4, -2, 0, 1.5, 4}, we need to evaluate the function for each value in the domain and find the minimum and maximum outputs.
Substitute -4 into the function: f(-4) = 5(-4)^2 + 4 = 84Substitute -2 into the function: f(-2) = 5(-2)^2 + 4 = 24Substitute 0 into the function: f(0) = 5(0)^2 + 4 = 4Substitute 1.5 into the function: f(1.5) = 5(1.5)^2 + 4 = 16.75Substitute 4 into the function: f(4) = 5(4)^2 + 4 = 84The range of the function is the set of all possible outputs. In this case, the minimum output is 4 and the maximum output is 84. Therefore, the range of the function is {4, 84}.
A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells “n” games that originally cost “d” dollars each? Check all that apply.
Answer:
B. [tex]n(d-18)[/tex]
D. [tex]dn-18n[/tex]
Step-by-step explanation:
Let d represent the original price paid for the game.
We have been given that a local buys used video games. For each game bought, they will pay $18 less than the original price paid for the game.
The price of used video game would be original price minus 18. We can represent this information in an expression as:
[tex]d-18[/tex]
We have been given that Jordan sold n games, so the cost of n used games would be [tex]n(d-18)[/tex].
Using distributive property we will get,
[tex]n(d-18)=dn-18n[/tex]
Therefore, option B and D are correct choices.
According to the Rational Root Theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true? Any rational root of f(x) is a multiple of 12 divided by a multiple of 9. Any rational root of f(x) is a multiple of 9 divided by a multiple of 12. Any rational root of f(x) is a factor of 12 divided by a factor of 9. Any rational root of f(x) is a factor of 9 divided by a factor of 12.
Answer:
Any rational root of f(x) is a factor of 9 divided by a factor of 12.
Step-by-step explanation:
Given:
f(x) = 12x³– 5x² + 6x + 9
Required; Rational root of f(x)
The rational root theorem states that: each rational solution
x = p⁄q, written in lowest terms so that p and q are relatively prime
Where
p = factors of the constant
q = factors of the lead coefficient.
Given that
f(x) = 12x³– 5x² + 6x + 9
The constant is 9
And the lead coefficient is 12
The factor of these two are
9; ±1 , ±3, ±9
12: ±1, ±2, ±3, ±4, ±6, ±12
Then the rational root of f(x) is
factor of 9 divided by a factor of 12.
Possible Rational Roots
= (±1 , ±3, ±9) / (±1, ±2, ±3, ±4, ±6, ±12)
The correct statement according to the rational root theorem is
The rational root of f(x) is
factor of 9 divided by a factor of 12
One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.
Answer:
5.586
Step-by-step explanation:
Today's newspaper contains a 20%-off coupon at Old Army. The $100 jacket that you want was already reduced by 40%. What as the final price that you paid for the jacket
The final price that is paid for the jacket is:
$ 48
Step-by-step explanation:The actual cost of jacket was: $ 100
The cost of the jacket was reduced by 40%
This means that the after reduction of 40% the jacket will cost:
[tex]100-\dfrac{40}{100}\times 100\\\\\\=100-40\\\\=60[/tex]
This means that the cost of jacket after 40% reduction is: $ 60
Also, there was a coupon that contains 20% off.
This means that the jacket will actually cost:
[tex]60-\dfrac{20}{100}\times 60\\\\\\=60-12\\\\\\=48[/tex]
The final price of jacket is:
$ 48
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What is the area of the polygon
which numerical expression would provide the solutions to the equation 7x^2 + 4x - 8 = 14
The quadratic equation 7x^2 + 4x - 8 = 14 does not have any real solutions.
Explanation:The given equation is a quadratic equation of the form at² + bt + c = 0, where a = 7, b = 4, and c = -22. To find the solutions, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values, we get:
x = (-4 ± √(4² - 4(7)(-22))) / (2(7))
Simplifying further, we get:
x = (-4 ± √(16 - 616)) / 14
x = (-4 ± √(-600)) / 14
The expression inside the square root is negative, which means there are no real solutions to the equation.
What is 5/8 ± 2/5? Please Help easy points