There would be 85 Tulips in the garden if the garden has 60 daffodils
Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.
From the table, 12 daffodils corresponds with 17 Tulips.
Hence the ratio of tulips to daffodils = 17 tulips / 12 daffodils
Therefore for 60 daffodils:
Number of Tulips = (17 tulips / 12 daffodils) * 60 daffodils
Number of Tulips = 85 Tulips
There would be 85 Tulips in the garden if the garden has 60 daffodils
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What is the next three-term of the geometric sequence? 60, 30, 15...?
Answer:
7.5
Step-by-step explanation:
it is feometeic progression
r=0.5
In the figure shown below, AABC = ADBE. Find the value of x.
Show the work to support your answer.
E
81
51°
B
(x+5)
D
Answer:
x = 43°Step-by-step explanation:
Given
ΔABC ≅ ΔDBECorresponding angles
∠DBE ≅ ∠ABC, ∠A ≅ ∠DFind the value of ∠D
m∠D = 180° - (81 + 51) = 48°Find the value of x
m∠A = m∠Dx + 5 = 48°x = 48° - 5° x = 43°The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answer:
Step-by-step explanation:
3.6*
It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2
For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.
We get
36 = s^2
Now, we need to get the square root of both sides, which gives us
s = √36 s = 6 cm
Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.
Therefore, the perimeter of the square is 24 cm.
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to paint interior walls, a person charges 40c per square foot plus the cost of the paint. for a recent job, the paint cost $ 200 and the total bill was $500. estimate the number of square feet that he painted.
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
PLSSS HELP. Is 23456 x 10^4 written in Scientific Notation? If not, rewrite it in Scientific
Notation.
Sunn Company manufactures a single product that sells for $120 per unit and whose variable costs are $per unitThe company's annual fixed costs are $529.200
Sunn Comp sells a product for $120 per unit, with a variable cost of $84 per unit, according to the information provided.
As a result, the company generates a contribution margin of $36 per unit ($120 - $84).
What is unit?
A unit is a recognized quantity that is used in measuring.
For instance, when you say, "I traveled 50 meters," you are expressing the distance in numbers, i.e., 50, and the unit is meter.
5 kg of veggies; the unit used here is kg (kilogram).
Sunn Comp is a business that focuses on producing just one kind of goods.
The variable cost of this good is $84 per unit, but it sells for $120.
So, the company's units each have a contribution margin of $36.
In order for the business to turn a profit and pay its fixed annual costs of $529200, it must sell a particular number of units.
Divide the fixed costs by the contribution margin per unit to find the break-even threshold.
To break even and pay its fixed costs, Sunn Comp needs to sell at least units of its product.
For Sunn Comp, being aware of the break-even point is crucial.
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The complete question is:
Sunn Company manufactures a single product that sells for $120 per unit and whose variable costs are $84 per unit. The company's annual fixed costs are $529,200. (1) Prepare a contribution margin income statement at the break-even point. (2) If the company's fixed costs increase by $132,000, what amount of sales (in dollars) is needed to break even? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Prepare a contribution margin income statement at the break-even point. SUNN COMPANY Contribution Margin Income Statement (at Break-Even) Percentage Amount of sales Required 1 Required 2 Prepare a contribution margin income statement at the break-even point. SUNN COMPANY Contribution Margin Income Statement (at Break-Even) Percentage Amount of sales Contribution margin Fixed costs Income Sales < Required 1 Required 2 > Variable costs Complete this question by entering your answers in the tabs below. Required 1 Required 2 If the company's fixed costs increase by $132,000, what amount of sales (in dollars) is needed to break even? Break-Even Point in Dollars Numerator: 1 Denominator: = Break-Even Point in Dollars / Break-even point in dollars S < Required 1 Required 2
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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What is the slope of the graph shown below?
Answer:
Option 3: -2
Step-by-step explanation:
The slope of the graph is negative, and the only option with a negative term for the slope is -2.
So the slope of the graph is -2.
2 5/8 divided by 2 1/4
Answer:
Step-by-step explanation:
\(2\frac{5}{8} =\frac{2 \times 8+5}{8} =\frac{21}{8} \\2\frac{1}{4} =\frac{2 \times 4+1}{4} =\frac{9}{4} \\2\frac{5}{8} / 2\frac{1}{4} \\=\frac{21}{8} /\frac{9}{4} \\=\frac{21}{8} \times \frac{4}{9} \\=\frac{7}{6} \\=1\frac{1}{6}\)
Does perpendicular lines have something same to intersecting lines
Answer:
They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.
Step-by-step explanation:
Convert 291 dg to kg.
Answer:
Question:
Convert 291 dg to kg
Concept:
Using the conversion rate, we will have
\(1kg=10^4dg\)By applying the conversion rate above, we will have that
\(\begin{gathered} 1kg=10^4dg \\ xkg=291dg \\ cross\text{ multiply, we will have} \\ 1\times291=x\times10^4 \\ 291=10000x \\ divide\text{ both sides by 10000} \\ \frac{10000x}{10000}=\frac{291}{10000} \\ x=0.0291kg \end{gathered}\)Hence,
The final answer is
\(\Rightarrow0.0291kg\)65.874,326.59,13.555,7.959 round to the following numbers to 1 decimal place
Answer:
a)65.9
b)326.6
c)13.6
d)8.0
Step-by-step explanation:
Answer: 65.87
Step-by-step explanation: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
Find the measure of BC
Using central angle theorem,
The measure of the arc BC = 110°.
Define central angle?An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.
Here in the question,
As per the central angle theorem:
(2x -30) ° + x° = 180°
⇒ 2x - 30 + x = 180
⇒ 3x - 30 = 180
Adding 30 on both sides:
⇒ 3x = 180 + 30
⇒ 3x = 210
Dividing both sides by 3.
⇒ x = 70°
Now BC = 2x-30
= 2 × 70 -30
= 140 - 30
= 110°
Therefore, the measure of BC = 110°.
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raw 10 marbles and color 3 red, 5 blue, and 2 green. Second, state whether each one is independent or dependent. Third, calculate the probability of each. SIMPLIFY IF NECESSARY! *p(red, without replacement, red) *p(green, replacement, blue) *p(green, without replacement, green) *p(blue, replacement, red) *p(green, without replacement, red) *p(blue, replacement, blue
The probabilities P(red, without replacement, red) is 1/15, P(green, replacement, blue) is 1/10, P(green, without replacement, green) is 1/45, P(blue, replacement, red) is 3/20, P(green, without replacement, red) is 1/15 and P(blue, replacement, blue) is 1/4
Probability of each event :
P(red, without replacement, red) = (3/10) × (2/9)
= 1/15
P(green, replacement, blue):
P(green, replacement, blue) = (2/10) × (5/10)
= 1/10
P(green, without replacement, green):
P(green, without replacement, green) = (2/10) × (1/9)
= 1/45
P(blue, replacement, red):
P(blue, replacement, red) = (5/10) × (3/10)
= 3/20
P(green, without replacement, red):
P(green, without replacement, red) = (2/10) × (3/9)
= 1/15
P(blue, replacement, blue):
P(blue, replacement, blue) = (5/10) × (5/10)
= 1/4
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Please help if you can
1) The lower limit of the confidence Interval is: 1489.77.
The upper limit of the confidence Interval is: 1530.23
2) The lower limit of the confidence Interval is: 1478.32
The upper limit of the confidence Interval is: 15411.68
How to find the confidence Interval?The formula to find the confidence interval is:
CI = x' ± z(σ/√n)
where:
CI is confidence interval
x' is sample mean
z is z-score at confidence level
σ is standard deviation
n is sample size
1) The parameters are:
σ = $234
x' = $1510
n = 362
z at 90% CL = 1.645
Thus:
CI = 1510 ± 1.645((234/√362)
CI = 1510 ± 20.23
CI = (1489.77, 1530.23)
2) The parameters are:
σ = $234
x' = $1510
n = 362
z at 99% CL = 2.576
Thus:
CI = 1510 ± 2.576((234/√362)
CI = 1510 ± 31.68
CI = (1478.32, 15411.68)
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What is the slope of the equation y – 5 = –3x?
Answer:
-3
Step-by-step explanation:
Write the equation in slope -intercept form: y = mx + b
where m is the slope.
y - 5 = -3x
y = -3x + 5
Slope = -3
\(y-5 =-3x\)
2. Add "5" on both sides of the equation.\(y-5+5 =-3x+5\\ \\y=-3x+5\)
3. Identify the slope.The slope of a linear equation will always be the coefficient of the "x" variable when the equation is equalled to "y". The coefficient is just the number that multiplies the variable. Hence, the coefficient of this line is "-3". Check the attached image.
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Moving sideways on the balls of the feet?
A. Striding
B. Skipping
C. Galloping
D. Sliding
The coordinates of the image of line segment RT are R'(-2,-4) and T'(4,4). The image was produced by a dilation with a scale factor of 42 centered at the origin. What are the coordinates of the endpoints of the pre-image?
Problem
The coordinates of the image of line segment RT are R'(-2,-4) and T'(4,4). The image was produced by a dilation with a scale factor of 42 centered at the origin. What are the coordinates of the endpoints of the pre-image?
Solution
Since the scale factor for the image is 1/2 then the scale factor for the preimage would be: 2
And then the original coordinates are:
R = (-4, -8)
T= (8,8)
Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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help me find the volume pleaee
The volume of the square pyramid that is given, is calculated as: 400 cubic centimeters.
How to Find the Volume of a Square Pyramid?To find the volume of the given square pyramid that is shown in the image above, use the formula below:
Volume = 1/3 * a² * h, where:
a is the base edge length
h is the height of the pyramid.
Use Pythagorean theorem to find h:
h = √(13² - 5²)
h = 12 cm
a = 10 cm
Plug in the values:
Volume of the square pyramid = 1/3 * 10² * 12
= 400 cm³
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If DM=35, what is the value of r? Where DG is r+5 and GM is 3r-14
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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The entries in Table I are the probabilities that a random variable having the standard normal distribution will take on a value between 0 andz. They are given by the area of the gray region under the curve in the figure. TABLET NORMAL-CURVE AREAS 2 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.2257 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4648 0.4719 0.4778 0.6 0.7 0.8 0.9 1.0 0.2580 0.2881 0.3159 0.3413 0.2324 0.2642 0.2939 0.3212 0.3461 0.2422 0.2734 0.3023 0.3289 0.3531 0.2454 0.2764 0.3051 0.3315 0.3554 0.2517 0.2823 0.3106 0.3365 0.3599 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 1.1 1.2 1.3 1.4 1.5 0.3749 0.3944 0.4113 0.4265 0.4394 0.3770 0.3962 0.4131 0.4279 0.4406 0.3810 0.3997 0.4162 0.4306 0.4429 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4725 0.4783 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 1.6 1.7 1.8 1.9 2.0 0.450S 0.4599 0.4678 0.4744 0.4798 0.4515 0.4608 0.4685 0.4750 0.4803 0.4525 0.4616 0.4692 0.4756 0.4808 0.4535 0.4625 0.4699 0.4761 0.4812 2.1 2.2 2.3 2.4 2.5 0.4826 0.4864 0.4896 0.4920 0.4940 0.4830 0.4868 0.4898 0.4922 0.4941 0.4834 0.4871 0.4901 0.4925 0.4943 0.4850 0.4884 0.4911 0.4932 0.4949 0.4854 0.4887 0.4913 0.4934 0.4951 0.4857 0.4890 0.4916 0.4936 0.4952 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0.4842 0.4846 0.4878 0.4881 0.4906 0.4909 0.4929 0.4931 0.4946 0.4948 0.4960 0.4961 0.4970 0.4971 0.4978 0.4979 0.4984 0.4985 0.4989 0.4989 2.6 2.7 2.8 2.9 3.0 0.4955 0.4966 0.4975 0.4982 0.4987 0.4956 0.4967 0.4976 0.4982 0.4987 0.4957 0.4968 0.4977 0.4983 0.4988 0.4962 0.4972 0.4979 0.4985 0.4989 0.4963 0.4973 0.4980 0.4986 0.4990 0.4964 0.4974 0.4981 0.4986 0.4990 Also, for 3 - 4.0, 5.0 and 6.0, the areas are 0.49997, 0.4999997, and 0.499999999. ^ The entries in Table II are values for which the area to their right under the 1 distribution with given degrees of freedom (the gray area in the figure) is equal toa. TABLE II VALUE OF d.f. Fo.050 os 0.005 d.. 63.657 9.925 1 2 3 4 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 0.010 31.821 6.965 4.541 3.747 3.365 1 2 3 4 5.841 4.604 4.032 S S 6 7 6 7 8 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 8 9 9 10 10 11 12 1.796 1.782 1.771 1.761 1.753 13 14 15 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 11 12 13 15 16 16 17 18 19 20 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.921 2.898 2.878 2.861 2.845 17 18 19 2.539 2.528 20 21 22 23 24 25 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.831 2.819 2.807 2.797 2.787 21 22 23 24 25 2.492 2.485 2.056 2.052 26 27 28 29 Inf. 1.706 1.703 1.701 1.699 1.645 2.479 2.473 2.467 2.462 2.326 2.779 2.771 2.763 2.048 26 27 28 29 Inf. 2.045 2.756 2.576 1.960 Question 2 (20 marks) A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 7 5 15 8 10 3 9 A report presented by this tutorial school 5 years ago indi that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part (a) is constructed at 99% instead of 95%, would the interval be (1) wider, (II) narrower, or (III) no change in width? (State your answer, no explanation is needed in part (C).)
what is the co efficient of 'y' in the expression 4x-3y ?
Answer:
coffecient of y is -3
hope it helps you
Step-by-step explanation:
Cost, Revenue, Profit
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on cost, revenue and profit.
Round your answers to two decimal places as needed.
You decide to begin selling frozen bananas at the local park. Your cost for each frozen banana is $2.25 plus you have to pay a fixed weekly fee of $120 for the booth. Your plan is to sell each frozen banana for $3.51.
1. Write a function, Cin), to represent your total costs for the week if you sell n frozen bananas. C(n) 2.25 + 120
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week. R(n) 3,5ln
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week. P(n) 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number. 95.23809524 frozen bananas
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of________
Answer:
1. C(n) = 2.25n + 120
2. R(n) = 3.51n
3. P(n) = 1.26n - 120
1. 96 frozen bananas must be sold in order to make a positive profit.
2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.
Step-by-step explanation:
1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.
Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:
C(n) = 2.25n + 120
Where 2.25n is the total variable cost while 120 is the total fixed cost.
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.
Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:
R(n) = 3.51 * n
R(n) = 3.51n
Where 3.51 is the selling price per unit while n the number of units sold.
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.
Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:
P(n) = R(n) - C(n)
P(n) = 3.51n - 2.25n + 120
P(n) = 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.
This can be obtained by equating the profit function to zero and solve for n as follows:
P(n) = 0 => 1.26n - 120 = 0
Therefore, we have:
1.26n = 120
n = 120 / 1.26
n = 95.2380952380952 frozen bananas
Writing it as a whole number, we have:
n = 95 frozen bananas
However, using this whole number will result in a negative profit by substituting it into the profit function as follows:
P(n) = (1.26 * 95) - 120 = -$0.30
Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:
P(n) = (1.26 * 96) - 120 = $0.96
Therefore, 96 frozen bananas must be sold in order to make a positive profit.
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of 96 frozen bananas.
HELP ME PLEASE I ONLY HAVE 30 MINUTES
As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.
One find the surface area of the rectangular prism
Two find the surface area of the rectangular pyramid
Three find the surface area of the cube
The surface areas are 110 in², 87.6 mm² and 49 m².
Given that are solid figure, we need to find the surface area of them,
1) Triangular prism = perimeter × length + 2 × base area
= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²
2) Triangular pyramid = base area + perimeter × slant height / 2
= 1/2 × 5.2 × 6 + 3 × 6 × 8/2
= 87.6 mm²
3) Cube = 4side²
= 4 × (3 1/2)²
= 4 × 3.5²
= 49 m²
Hence the surface areas are 110 in², 87.6 mm² and 49 m².
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Find the shortest distance from Starting vertex A to F on the network below
In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:
What are the steps?Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.
Establish the initiating vertex as the current vertex.
Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.
Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.
Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.
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