Answer: 65200
7 - 1 = 6 x 11700 = 70200 - 5000 = 65200
At the annual high school carnival, Dalton sells popcorn for $4 a bag. His cost for setting up a booth is $20. Today, his goal is to make a profit of $500. How many bags of popcorn must he sell to make a profit of $500?
Hint: 500 = 4x - 20
Answer:
130=x
Step-by-step explanation: Do +20 on both sides the 20 on the left side cancels and 500 + 20= 520. Bring down the 4x. Divide 4 on both sides. 4 divided by 4 cancels. 520/4= 130. So he needs to sell 130. Give me brainliest.
Q
x =
to
60°
(2x+4)°
R
Part B
Find the measure of the labeled exterior angle.
Note that given the above triangle and exterior angle, the value of x is 28° while the value of the exterior angle is 60° (Option D). This is solved using the exterior angle theorem.
What is the exterior angle theorem?
If a triangle side is constructed, the outside angle formed is equal to the sum of the two inside opposing angles.
In this case, the opposing triangles are:
∠PQR = x° and
∠QPR = 60°
While the exterior angle is: (2x+4)°
Given the above theorem,
2x+4 = x + 60
⇒ 2x = 60 -4 (Having collected like terms)
x = 56/2
thus,
x = 28°
Since x is given as approximately 28°
The external angle is given as:
2(28) + 4
⇒ 56 +4
= 60° (Option D)
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Write a polynomial function of the least degree that has the root x = (5 + i).
Factors:
Polynomial Function:
The equation of the polynomial equation is P(x) = x² - 10x + 26
How to determine the polynomial expression?The given parameters are
Degree = Least degree
Zero = 5 + i
There are complex numbers in the above zeros
This means that, the other zeros are
Zeros = 5 - i
The equation of the polynomial is then calculated as
P(x) = Leading coefficient * (x - zero)^multiplicity
So, we have
P(x) = (x - (5 + i)) * (x - (5 - i))
This gives
P(x) = (x - 5 - i) * (x - 5 + i)
Evaluate the products
P(x) = x² - 5x + ix -5x + 25 -5i - ix + 5i + 1
Evaluate the like terms
P(x) = x² - 5x -5x + 25 + 1
Evaluate the like terms
P(x) = x² - 10x + 26
Hence, the equation is P(x) = x² - 10x + 26
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15 points!!!! Find the value of x.
102
54
6x
O A. 8
B. 6
O C. 17
D. 9
Answer:
A. 8
Step-by-step explanation:
Given,
54° + 6x° = 102°
=> 6x = 102 - 54
=> 6x = 48
\( = > x = \frac{48}{6} \)
=> x = 8(Ans)
What is System Effectiveness, if Operational Readiness is 0.89, Design Adequacy is 95%, Availability is 98%, Maintainability is 0.93, and Mission Reliability is 0.99? a. 0.763 b. 0.881 c. 0.837 d. 0.820
The System Effectiveness is approximately 0.763.
To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.
System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability
Plugging in the given values:
System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99
System Effectiveness ≈ 0.763
Therefore, the System Effectiveness is approximately 0.763.
The correct answer is a. 0.763.
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Sketch the region enclosed by the curves x - 2 = 3y and x - 14 = (y - 4)², and compute its area.
A = ...
The area of the region enclosed by the curves x - 2 = 3y and x - 14 = (y - 4)² I 4.5 units ².
How to calculate the areaIn mathematical analysis, it should be noted that the word region usually refers to a subset of or that is open (in the standard Euclidean topology), simply connected and non-empty.
In this case, a closed region is sometimes defined to be the closure of a region. Regions and closed regions are often used as domains of functions or differential equation.
The area based on the information will be:
= [(3y²/2 - 12y - (y - y/3)³]7 4
= 9/2
= 4.5
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a jar contains 4 red, 5 white and 6 blue marbles. 3 marbles are selected with replacement. find the probability that you get one marble of each color
The probability of selecting one marble of each color when three marbles are selected with replacement is approximately 0.0356 or 3.56%. This is calculated by multiplying the probabilities of selecting a red, white, and blue marble, which are 4/15, 5/15, and 6/15, respectively.
To determine the probability of selecting one marble of each color when three marbles are selected with replacement, we can calculate the probability for each color and then multiply them together.
The probability of selecting a red marble is 4/15 (since there are 4 red marbles out of a total of 15 marbles).
The probability of selecting a white marble is 5/15 (since there are 5 white marbles out of a total of 15 marbles).
The probability of selecting a blue marble is 6/15 (since there are 6 blue marbles out of a total of 15 marbles).
Since the marbles are selected with replacement, the probability of each color remains the same for each selection.
To get one marble of each color, we need to multiply the probabilities together:
Probability = (4/15) * (5/15) * (6/15) = 120/3375 ≈ 0.0356
Therefore, the probability of selecting one marble of each color when three marbles are selected with replacement is approximately 0.0356 or 3.56%.
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please help! ROUNDING TO THE NEAREST TEN THOUSANDTH!!
Chelsea Fashions is expected to pay an annual dividend of \( \$ 1.10 \) a share next year. The market price of the stock is \( \$ 21.80 \) and the growth rate is \( 4.5 \% \). What is the firm's cost
The cost of equity for Chelsea Fashions is approximately 9.86%. This is calculated using the dividend discount model, taking into account the expected dividend, the stock price, and the growth rate.
The cost of equity for Chelsea Fashions can be determined using the dividend discount model (DDM). The DDM formula is as follows: Cost of Equity = Dividend / Stock Price + Growth Rate.
Given that the expected dividend is $1.10 and the market price of the stock is $21.80, we can substitute these values into the formula: Cost of Equity = $1.10 / $21.80 + 4.5%.
First, we divide $1.10 by $21.80 to get 0.0505 (rounded to four decimal places). Then, we add the growth rate of 4.5% (expressed as a decimal, 0.045). Finally, we sum these values: Cost of Equity = 0.0505 + 0.045 = 0.0955.
Converting this decimal to a percentage, we find that the cost of equity for Chelsea Fashions is approximately 9.55%. Therefore, the firm's cost of equity is approximately 9.86% when rounded to two decimal places.
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Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and
swims at a rate of 3 feet per second. John swims at a rate of 4 feet per second in the same direction as
Ricardo. Which equation could you solve to find how long it will take John to catch up with Ricardo?
Does anyone know the answer?
Answer:
t = (t₁ · vr)/ (vj - vr) = 45 seconds
Step-by-step explanation:
Given:
Initial time from Ricardo t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,
John's velocity (speed) vj = 4 ft/s
Requested time when John catch Ricardo t = ?
During 15 seconds, Ricardo moved away
S = vr · t₁ = 3 ft/s · 15 s = 45 feet.
From that moment, the same time runs for both of them
Ricardo's path is S₁ = vr · t and John's path is S₂ = vj · t
S + S₁ = S₂ => S = S₂ - S₁ => 45 = vj · t - vr · t
When we draw t we get:
t ( vj - vr) = 45 t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds
t = 45 seconds
S₁ = vr · t = 3 · 45 = 135 ft
S₂ = vj · t = 4 · 45 = 180 ft
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
What is the actual width of the painting?
What is the actual height of the painting?
On the scale drawing, the top edge of the "H" is inches from the top edge of the drawing. What is the actual height of the "H"?
What is the actual width of the "H" (through the center)?
What is the actual distance from the left edge of the painting to the left edge of the "H"?
actual width of the painting: inches
actual height of the painting: inches
actual height of the "H"?: inches
actual width of the "H" (through the center): inches
actual distance from the left edge of the painting to the left edge of the "H": inches
text mentions a scale model... wich we can't see here unless you post it
If f(x)=2x – 1, and g(x)=x2 – 3, find (f (g(x)).
Answer:
(f(g(x))=2x+x2-4
hope this helps
Answer:
The answer is in picture.
A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?
The distance between the center of the circle and the given point is 13 units.
The distance between the center of the circle (0, 0) and the given point (-5, 12) should be equal to the radius of the circle.
Using the distance formula,
d= √(-5-0)² + (12-0)²
d = √25 + 144
d = √169
d = 13 unit
Therefore, the distance between the center of the circle and the given point is 13 units.
Any point on the circle will have a distance of 13 units from the center.
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Simplify.
(A^2)^3+(A^-2)^-2
A. A^2
B. A^10
C. A^24
D. A^6+ A^4
What is the area? I will give 30 points
Answer:
35
Step-by-step explanation:
Answer:
Wouldn't the area be 42?
Order the square root of 20, negative 4.5 repeating, twenty-three fifths, and negative four and one fifth from least to greatest.
To order the given numbers from least to greatest, we compare them numerically:
Negative 4.5 repeating = -4.5...
Negative four and one fifth = -4.2
Square root of 20 ≈ 4.47
Twenty-three fifths = 4.6
Arranging them from least to greatest, the order is:
Negative 4.5 repeating < Negative four and one fifth < Square root of 20 < Twenty-three fifths
In summary:
-4.5... < -4.2 < √20 < 23/5
~~~Harsha~~~
A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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4. How many terms of the series 64 + 32 + 16 + ... ... must be taken so
that the sum may be 255÷2
Answer:
... ... = .5
Step-by-step explanation:
I'm not sure if I'm right. But I got my answer by dividing 255 and 2 first
255 / 2 = 112.5
Then find out what 64 + 32 + 16.
64 + 32 + 16 = 112
Add 0.5 to get the same answer from 255 / 2
64 + 32 + 16 + 0.5 = 112.5
Mary needs to order pizza for 18 students. Each student should get 4/7 of a pizza. How many pizzas should Mary order? How much pizza will be leftover?
Answer:
11 pizzas, 5/7 left
Step-by-step explanation:
to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over
Answer:
12
Step-by-step explanation:
4 x 18
6 x 1 = 72 /6
72/6 = 12
6/6 = 1
12 /1
12
Help me with this please ASAP
Answer:
Hi there your answer is \(8x^{6}\)
Step-by-step explanation:
Hi... You have to muliply 4 and 2 which will equal to 8
Then, if you know the exponent rule for the Product Rule or don't I'll still give it you here it is
\(x^{m}*x^{n}=x^{m+n}\)
In this case we will be adding 3 and 3 which will equal to 6
Which your answer will be
\(8x^{6}\)
how to find sample size with margin of error on ti 84
The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.
To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:
1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.
2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.
Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.
3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.
4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.
5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.
6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.
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Use the triangles Name one pair of congruent angles.
Why is IT important to integrate information?
Data integration combines data collected from various platforms to increase its value for your company. It enables your staff to collaborate more effectively and provide more for your clients.So IT is important to integrate information.
The combining of data from diverse sources with various conceptual, contextual, and typographic representations is known as information integration. It is utilised for data aggregation and mining from unstructured or partially organised sources. You may connect all of your data, people, and processes in a single solution by using an integrated solution. Today's top HSEQ management teams regard this strategy as best practise. The justification for this is straightforward: it improves reporting, efficiency, uniformity, speed, and ease of use. An integrated report's main goal is to describe to financial capital providers how a company builds, protects, or loses value over time. As a result, it includes pertinent information, both financial and otherwise.
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7.
Which point on the number line best represents the location of V92?
MN
Q
+
8
9
10
A. Point M
B. Point N
C. Point P
D. Point Q
Answer:
C
Step-by-step explanation:
Square root of 92 is 9.591663047
so round that to 9.59
CAR: A car loses 15% of its original value each year. After one year, a car has a value of $13,600. What was the original value of the car? (Section 4.2) 1 point Your ankwer Back Submit
Answer:
the answer is c
Step-by-step explanation:
Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
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Answer: b
Step-by-step explanation:
Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5 % and it is customary to leave a tip of 5% The tip amount is calculated on the price of the meal before the tax is applied. (Sales tax is not calculated on tips.)
The total amount that Allam would leave for the meal, including sales tax and tip, would be $22
In Wisconsin, sales tax is added to the price of most goods and services, including meals at restaurants. Sales tax is a percentage of the total price of the meal, and in Wisconsin, it is 5%. This means that if Allam's meal cost $20, the sales tax would be $1.
However, when it comes to leaving a tip, it is customary to calculate the amount based on the price of the meal before the sales tax is applied. This is because the tip is meant to be a percentage of the service received and the quality of the food, which are not affected by the sales tax.
So, if Allam's meal cost $20 before the sales tax was added, the tip amount would be calculated as 5% of $20, which is $1.
=> ($20+ $1 + $1 ) = $22.
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In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
To find:
The method of drwaing the graph of given inequality.
Solution:
Given inequality: -3m +18 < 30.
Solve the inequality:
\(\begin{gathered} -3m+18<30 \\ -3m<30-18 \\ -3m<12 \\ 3m>-12 \\ m>\frac{-12}{3} \\ m>-4 \end{gathered}\)To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.
help plssss it’s timed ty
Answer:
A is the correct answer m8
What is a math formula?
Math formula are the representation of any mathematical rule or principle which is expressed using some mathematical symbol.
Representation of mathematical principle in form of mathematical symbols.Mathematical formula includes some of the equations and identities.Inequalities also represents Math formula in some cases.Asymptotic expressions also represents mathematical formula.Basic steps to represents the math formula is using mathematical operations such as addition, subtraction, multiplication , and division.Examples of math formula are as follow : ( a + b )² = a² + 2ab + b².Area of a rectangle = length × widthMath formula makes the calculation of any problem easy and simple.Therefore, the math formula is the way of expressing mathematical principle using mathematical symbols.
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It's 11:00pm, and in checking reservations, you discover that 4 guests have not yet arrived, and you just sold
your last room. At your hotel, the odds of each guest not showing, if they have not arrived by 11:00pm, is 65%. What are the odds
that you will need to "walk" a guest tonight?
Using the binomial distribution, it is found that there is a 0.985 = 98.5% probability that you will need to "walk" a guest tonight.
For each guest, there are only two possible outcomes, either they arrive, or they do not. The probability of a guest arriving is independent of any other guest, hence, the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
4 guests have not yet arrived, hence n = 4.The probability that they show up is of 65%, hence p = 0.65.If at least one shows up, you will need to "walk" a guest tonight, hence the probability is:
\(P(X \geq 1) = 1 - P(X = 0)\)
In which:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015\)
Then:
\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.015 = 0.985\)
0.985 = 98.5% probability that you will need to "walk" a guest tonight.
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