use the problem below discuss, and illustrate with examples, how to solve differential equations of the forms dy/dx
pls help will mark brainliest asap
When pentagon ABCDE is translated 2 units down, dilated by a scale factor of 1/2 units and reflected over the x-axis, it will map into pentagon FGHIJ. This proves that the pentagons are similar.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The transformations to this problem are given as follows:
Translation 2 units down -> the new pentagon is closer to the origin, meaning that before being reflected it was brought closer to the origin.Dilation by a scale factor of 1/2, as the side lengths are half of what it were in the original pentagon ABCDE.Reflection over the x-axis, as the pentagon ABCDE was inclined upwards and the pentagon FGHIJ is inclined downwards.More can be learned about dilation at brainly.com/question/3457976
#SPJ1
Write a system of equations for this word problem. DO NOT SOLVE IT
Tickets to the movie theater are $5.50 for children
and $7.00 for adults. On Saturday, 1,250 people
attended the movie theater (adults and children)
The movie theater received $7,979 in ticket sales.
How many children and how many adults
attended the theater on Saturday?
Put answer here⬇️
Equation
TOPIC—
# of tickets—
$ earned—
PLEASE HELP ASAP
A system of equations for this word problem is
x + y = 1,2505.5x + 7y = 7,979.What is a system of equations?A system of equations is two or more equations solved at the same time, concurrently, or simultaneously.
A system of equations is also called simultaneous equations.
The cost of movie theater tickets per child = $5.50
The cost of movie theater tickets per adult = $7.00
The total attendees on Saturday = 1,250
The total ticket sales = $7,979
Let the number of children who attended = x
Let the number of adults who attended = y
Equations:x + y = 1,250... Equation 1
5.5x + 7y = 7,979... Equation 2
Multiply Equation 1 by 5.5:
5.5x + 5.5y = 6,875... Equation 3
Subtract Equation 3 from Equation 2:
5.5x + 7y = 7,979
-
5.5x + 5.5y = 6,875
1.5y = 1,104
y = 736
x = 1,250 - y
x = 1,250 - 736
x = 514
Thus, we can conclude that 514 children and 736 adults attended the movie theater on Saturday.
Learn more about simultaneous equations at https://brainly.com/question/16863577
#SPJ1
the Richardson family
The amount of tip is $ 6.40 and the total amount including the tip is given by the equation A = $ 38.40
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount including the tip for family be A
Now , the equation will be
The total amount of the bill without the tip = $ 32.00
The percentage of tip = 20 %
So , the amount of tip is = percentage of tip x total amount of the bill without the tip
Substituting the values in the equation , we get
The amount of tip is = ( 20/100 ) x 32
The amount of tip is = $ 6.40
Now , the total amount including the tip A = total amount of the bill without the tip + amount of tip
Substituting the values in the equation , we get
The total amount including the tip A = $ 32.00 + $ 6.40
The total amount including the tip A = $ 38.40
Hence , the equation is A = $ 38.40
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
PLEASE HELPP it needs to be done by the 3rd!
Answer:
20 because the breathe is 18 to get it length
Which frequency table should she use for the histogram?
The frequency table for the histogram is (d)
How to determine the frequency tableFrom the question, we have the following parameters that can be used in our computation:
82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93
To plot the dataset on a histogram, the data points must be represented on equal intervals
From the list of options, the histogram for the given data set can be made using the interval, 60–75, 75–90, and 90–105 this is because in this case none of the intervals has a frequency of 0.
Hence, the correct option is D.
Read more about Histogram at
brainly.com/question/16819077
#SPJ1
Complete question
Fiona has to plot a histogram of the given data. 82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93
Which frequency table should she use for the histogram?
A. Interval 60–70 70–80 80–90 90–100 Frequency 8 0 10 2
B. Interval 56–63 63–70 70–77 77–84 84–91 91–98 Frequency 1 7 0 5 5 2
C. Interval 50–70 70–80 80–85 85–90 90–100 Frequency 8 0 6 4 2
D. Interval 60–75 75–90 90–105 Frequency 8 10 2
which of the following are problematic tendencies we have in reasoning that, according to the text and lecture, can be diminished by thinking in terms of degrees of confidence rather than binary belief?
The problematic tendencies that can be diminished by thinking in terms of degrees of confidence rather than binary belief are overconfidence and bias.
Habits, behaviors, or mental patterns that are problematic or undesired and have the potential to produce bad results or issues are known as problematic inclinations. Thinking about degrees of confidence allows one to adopt a more complicated and probabilistic approach to decision-making by considering the information's uncertainty and complexity.
According to the text and lecture, focusing on confidence levels rather than having a strong or weak conviction might assist reduce negative reasoning tendencies like overconfidence in one's beliefs and actions, overgeneralization and oversimplification of complicated situations. Confirmation bias is the practice of selectively seeking out and interpreting data in a way that confirms one's preexisting ideas, and belief persistence is the practice of refusing to change one's beliefs in the face of new evidence.
Read more about tendencies on:
https://brainly.com/question/14618657
#SPJ4
Chebyshev’s Theorem
For any set of data:
At least 75% of the data fall in the interval from __________ to __________. At least 88.9% of the data fall in the interval from __________ to __________. At least 93.8% of the data fall in the interval from __________ to __________.
Answer:
Step-by-step explanation:
At least 75% of the data fall in the interval from the first quartile (Q1) to the third quartile (Q3).
At least 88.9% of the data fall in the interval from the first decile (D1) to the ninth decile (D9).
At least 93.8% of the data fall in the interval from the second percentile (P2) to the 98th percentile (P98).
Note: The quartiles, deciles, and percentiles divide a set of data into 100 equal parts and provide information about the distribution of the data. The first quartile (Q1) is the 25th percentile, the third quartile (Q3) is the 75th percentile, the first decile (D1) is the 10th percentile, the ninth decile (D9) is the 90th percentile, the second percentile (P2) is the 2nd percentile, and the 98th percentile (P98) is the 98th percentile.
What is the solution for the problem on the attachment?
The value of the variable 'x', 'y', and 'z' will be -6, -9, and -1, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
x - y - z = 4
z = x - y - 4 ....1
3x - 2y = 0
y = 1.5x ....2
-2x + 4y + 4z = - 28 ....3
From equations 1, 2, and 3, then we have
-2x + 4(1.5x) + 4(x - 1.5x - 4) = - 28
- 2x + 6x + 4x - 6x - 16 = - 28
2x = - 12
x = -6
Then the value of 'y' is given as,
y = 1.5(-6)
y = - 9
Then the value of 'z' is given as,
z = - 6 - (-9) - 4
z = - 10 + 9
z = -1
The value of the variable 'x', 'y', and 'z' will be -6, -9, and -1, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
Two parents who are each known to be carriers of an autosomal recessive allele have four children. None of the children has the recessive condition.What is the probability that one or more of the children is a carrier of the recessive allele? Hint: The probability that one or more of the children is a carrier is the same as the sum of all probabilities minus the probability that none of the children is a carrier. The answer is 0.988. I know the answer but do not know the explanation. So, if someone could walk me through it, I would greatly appreciate it.
The probability that one or more of the children is a carrier of the recessive allele is 0.988.
The probability that one or more of the children is a carrier of the recessive allele can be calculated using the binomial theorem. The binomial theorem states that the probability of a success in a given trial is the sum of all probabilities of success minus the probability of none of the successes.
For the given scenario, we can assume that the probability of each child being a carrier is 0.25 (since each parent is known to be a carrier). The probability of one or more of the children being a carrier is then[tex](1-0.25^4) = 0.988.[/tex]
To calculate this, we first calculate the probability of none of the children being a carrier, which is [tex](1-0.25)^4 = 0.316[/tex]. We then subtract this from 1 to get the probability of one or more of the children being a carrier:[tex](1-0.25)^4 = 0.316[/tex]
Therefore, the probability that one or more of the children is a carrier of the recessive allele is 0.988.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
determine if the following is an example of descriptive or inferential statistics. 85 randomly selected fifty-year-old americans were asked how much money they had saved for their retirement. the average for these respondents was $25,000, the minimum was $0 and the maximum was $1,200,000.
This is an example of descriptive statistics. Descriptive statistics involves summarizing and describing the main features of a set of data. In this case, the data consists of the responses from 85 randomly selected fifty-year-old Americans about the amount of money they have saved for their retirement.
The statistics provided, such as the average ($25,000), minimum ($0), and maximum ($1,200,000), are all examples of descriptive statistics that summarize the data and provide information about its distribution.
Inferential statistics, on the other hand, involves making inferences about a population based on a sample. Inferential statistics allow us to use the information from a sample to make educated guesses about the characteristics of the population from which the sample was drawn.
To know more about Statistics
https://brainly.com/question/15525560
#SPJ4
One popular model had a front wheel with a 52 in. diameter and one spoke on the back wheel measuring 9 in. Hint: A bicycle spoke is a rod bl that connects the edge (rim) of a wheel to the center ot the wheel. Determine the diameter of the back wheel.
Determine the diameter of the back wheel.
The diameter of the back wheel is 163.68 inches.
What is diameter?Diameter is a straight line passing through the center of a circle, connecting two points on the circumference of a circle. It is the longest possible distance between any two points on the circle and is used to measure the size of a circle. The length of the diameter is twice the radius of the circle. The diameter is also the measure of the distance across a circle, rather than the circumference.
To do this, we first need to calculate the circumference of the front wheel, which is the distance around the edge of the wheel. The circumference of a circle is calculated using the formula C = π x D, where C is the circumference and D is the diameter. Therefore, the circumference of the front wheel is 3.14 x 52 = 163.68 inches.
Next, we need to divide the circumference of the front wheel by the number of spokes on the back wheel. Since there is only one spoke on the back wheel, we can divide the circumference of the front wheel by 1. Therefore, the diameter of the back wheel is 163.68 inches.
To know more about diameter click-
https://brainly.com/question/19052774
#SPJ1
pls help and give an explanation :)
You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?
Answer:
You would use one quart of red paint and 2.4 quarts of blue paint.
Step-by-step explanation:
You first want to make 3 2/5 into a decimal. To do that you multiply 3x5 and add 2 which equals 17/5. Then you divide 17 by 5 and you get 3.4. So, now you know that you want your blue paint plus your red paint to equal 3.4 So, add 4/5 and 1/3 which equals 1.13333333333. Multiply 1.13333333333 and 3 which equals 3.4. So use the equation (4/5+1/3)x3 and you'll get 3.4. This shows that everything that you do was right.Then multiply just 1/3 x 3 and you'll get your answer which is 1. Then multiply just 4/5 x 3 and you'll get 2.4.
A rectangle has an area of 18 meters square and a perimeter of 18 meters. What are its length and width?
Answer:
6 m or 3 meters
Step-by-step explanation:
Area formula = w * L
Perimeter formula =2 x (l+w)
So, that is how I found the answer.
Hope this helps!
Suppose that we use Euler's method to approximate the solution to the differential equation Let f(x, y) = x5/y. We let x0 = 0.3 and y0 = 9 and pick a step size h = 0.2. Euler's method is the the following algorithm. From xn and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing xn+1 = xn + h, yn+l = yn + h Complete the following The exact solution can also be found using separation of variables. It is y(x) = Thus the actual value of the function at the point x = 1.3 y(1.3)
The actual value of the function is: [tex]$$y(1.3) = \frac{1.3^6}{6} + 8.6835 = 11.6375$$[/tex]
The exact solution to the differential equation can be found using separation of variables. We first integrate both sides of the equation with respect to x and obtain: [tex]$$\int \frac{x^5}{y}dx = \int 1\,dy$$$$\frac{x^6}{6} + c = y$$[/tex]
where c is a constant. From the initial conditions, we can solve for c to get: [tex]$$c = 9 - \frac{0.3^6}{6} = 8.6835$$[/tex]
Therefore, the exact solution is:[tex]$$y(x) = \frac{x^6}{6} + 8.6835$$[/tex]
At x = 1.3, the actual value of the function is: [tex]$$y(1.3) = \frac{1.3^6}{6} + 8.6835 = 11.6375$$[/tex]
Learn more about differential equation here:
https://brainly.com/question/14620493
#SPJ4
3. problem 3: vectors spaces. determine if the following sets with operations defined over the given fields are valid vector spaces.
Out of the given three sets, only set a and C are valid vector spaces because A produces vectors in the same subspace on calculative operations and C produces a 0 on one of its function's values.
Because A is a subspace of [tex]R^{4}[/tex] (a vector space), it satisfies the requirement that vector addition and scalar multiplication produce vectors in the same subspace, making it a vector space. The zero vector's inclusion in the set is a further given. The zero-function is not a part of the set; hence B is not a vector space.
F(x)=0 on the range [-1,1] implies that f(x)=0 someplace on that range, hence C must be a vector space. We know that continuous functions satisfy the requirements for a subspace of a vector space since they have clearly defined function addition and scalar multiplication.
To know more about vector spaces, refer:
https://brainly.com/question/14998315
#SPJ4
Complete question is:
Determine if the following sets with operations defined over the given fields are valid vector spaces.
A = {(a,b,c,d) ∈ R4: a+5c+d=0}
B = {f ∈ C [0,1]: f (0) =1}
C = {f ∈ C [−1,1]: ∫1−1 f(x) dx=0}
Please help! space space sppace!
Answer:
C
Step-by-step explanation:
Enter your answer in scientific notation.
A swimming pool is exactly 20 m long, 6 m wide, and 3 m deep. What is its volume in cubic feet to 3
significant figures?
Answer:
Step-by-step explanation:
The volume of a swimming pool can be calculated as follows:
Volume = Length * Width * Depth
In this case, the length is 20 m, the width is 6 m, and the depth is 3 m, so the volume is:
Volume = 20 m * 6 m * 3 m = 360 m^3
To convert this volume to cubic feet, we can use the conversion factor:
1 m^3 = 35.3147 ft^3
So, 360 m^3 = 360 * 35.3147 ft^3 = 12611.32 ft^3
Rounding to 3 significant figures, the volume of the swimming pool in cubic feet is:
12611.32 ft^3 ≈ 12611 ft^3
Therefore, the volume of the swimming pool in cubic feet to 3 significant figures is 12611 ft^3.
The volume of the swimming pool is 12,800 ft^3.
Explanation:To find the volume of the swimming pool in cubic feet, we need to convert the measurements to feet and then multiply them together. One meter is equal to approximately 3.281 feet. So, the length in feet is 20 m × 3.281 ft/m = 65.62 ft, the width is 6 m × 3.281 ft/m = 19.68 ft, and the depth is 3 m × 3.281 ft/m = 9.84 ft.
Now, multiply the length, width, and depth together: 65.62 ft × 19.68 ft × 9.84 ft = 12,848.156 ft3.
Rounding to 3 significant figures, the volume of the swimming pool is approximately 12,800 ft3.
Learn more about volume here:https://brainly.com/question/31946306
#SPJ2
-2x + 5 < 2 and 3y - 3 > 1
The combined inequality for the conditions is 2x + 3y > 7.
What is linear inequality?The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).
Given inequalities,
-2x + 5 < 2 and 3y - 3 > 1
-2x + 5 < 2
subtract 2 from both sides
-2x + 5 - 2 < 2 - 2
-2x + 3 < 0
multiply by -1 to change the sign,
-1(-2x + 3) > 0
2x - 3 > 0 .......(1)
and 3y - 3 > 1
subtract 1 from both sides
3y - 3 - 1 > 1 - 1
3y - 4 > 0..........(2)
since both equations are greater than zero we can add both equations,
2x - 3 + 3y - 4 > 0
2x + 3y > 7
Hence combined equation is 2x + 3y > 7.
Learn more about linear inequality;
https://brainly.com/question/11897796
#SPJ1
The complete question is -2x + 5 < 2 and 3y - 3 > 1,
find the combined equations.
Element X decays radioactively with a half life of 9 minutes. If there are 210 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 20 grams?
The time it will take for the element to have 20 grams of mass is approximately 30.5 min.
What is half-life of an element?The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.
Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value
The decay constant λ is = 0.693/t½
where t½ is the half-life of the element
Given data ,
Let the initial amount of element present be = 210 grams
The half life of the element = 9 minutes
And , let the time it will take for the element to have 20 grams be T
The radioactive decay of a substance is given by the following formula ,
x ( t ) = x ( 0 ) e ^ ( -λ )t
Substituting the values in the equation , we get
Since the element has a half life of 9 minutes, after this time the mass of the element will be half of it , therefore
x ( t ) / x ( 0 ) = 1/2
1/2 = e ^ ( -λ ) ( 9 )
Taking ln on both sides of the equation , we get
ln ( 1/2 ) = -9λ
λ = - ( ln ( 1/2 ) ) / 9
On simplifying the equation , we get
λ = 0.077016
Now , the mass of the element is
20 = 210 ( e ^ ( -0.077016 ) ( t ) )
On simplifying the equation , we get
e ^ ( -0.077016 ) ( t ) = 0.095238
Taking ln on both sides of the equation , we get
( -0.077016 ) ( t ) = ln ( 0.095238 )
So , the value of t = ln ( 0.095238 ) / ( -0.077016 )
The time t = 30.5 minutes
Hence , the time required is 30.5 minutes
To learn more about half life click :
https://brainly.com/question/16387602
#SPJ1
Determine the domain of each relation, and determine whether each relation describes y as a function of b, x = b
The Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.
Explain about the domain of the function?X is equal to why's absolute value, and we're looking for the domain. Remember that the domain is simply the set of all conceivable X values. As a result, when we look at the this equation, an absolute value sign just on y axis makes all negative numbers positive and all positive numbers, just that one number, positive.For the stated question:
Relation : x = b
Its absolute value of a negative is equal to the absolute amount of a positive alone.
Since zero's absolute value was only zero, all of the X values has to be positive or zero. Because if an exit value had a negative value, the absolute value sign could be in contravention of its rule.Therefore, the domain includes only positive numbers plus zero, and we can use any value for X to check whether or not it is a function. Let's assume that X is 20. 20 equals are available. the reason in its entirety Since we just observed that absolute value of the a negative number up above, y in this case may either equal only positive 20 and y can equal negative 20. This case's negative 20 is only 20, after all.Thus, the Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.
To know more about the domain, here
https://brainly.com/question/2264373
#SPJ4
A puffin leaves a cliff and flies 38 km due east then 54 km due north to an island.
Work out the bearing from the cliff to the island.
Give your answer to the nearest degree.
The bearing here is given as 54.89 degrees degrees
How to solve for the bearingThe distance that the puffin flies is 38 km due to the east
Then the distance is 54 km due to the north
We would have the height h = √(p²+b²)
We would have to solve this out such that :
=√54²+38²
h = 66.03 units
From here we would have to solve for sine θ
sin θ = 54 / 66.03
sine θ = 0.818
θ = sin ⁻¹0.818
= 54.89 degrees
Read more on bearing here: https://brainly.com/question/28782815
#SPJ1
Someone pls solve this for me and make it organized
Answer: The inner rectangles area is forty cubic feet, and the outer rectangles area is eighty cubic feet.
Round the numbers in each expression to the nearest whole number.
Then select the expression that can be estimated to 8.
A.
3
1
5
+
5
7
9
B.
1
5
8
+
5
2
5
C.
15
5
7
−
8
2
9
D.
10
1
4
+
1
11
15
Answer: A, and B
A) 894
B) 728
Step-by-step explanation:
The perimeter of a rectangular garden is 64 centimeters. The length of the garden is 3 times the width. Find the length and the width.
Answer:
l=24, w=8
Step-by-step explanation:
64/2=32 for one length and one width
l=3w
l+w=32
3w+w=32
4w=32
w=8
8*3=24=l
A table of ordered pairs is shown.
X
y
Which graph best represents these ordered pairs?
1
2
3
5
6
1
1
그를 2를 3를 5를 6를
A graph that best represents these ordered pairs is: C. Graph C.
What is an ordered pair?In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph such as the following:
Ordered pair = (1/2, 1).Ordered pair = (1, 2).Ordered pair = (1 1/2, 3).Ordered pair = (2, 4).Ordered pair = (2 1/2, 5).Since the values on the x-coordinate (abscissa) increases by 1/2 and the values on the y-coordinate (ordinate) increases by 1, the most appropriate scale 0.5:1, which is best represented by the data points in graph C.
Read more on ordered pair here: brainly.com/question/25462418
#SPJ1
which of the following represents the process that an analyst goes through when performing statistical analysis?
Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.
The process of statistical analysis involves the collection of data, organizing it, and summarizing it in an understandable way. After summarizing the data, the analyst can then use a variety of techniques to analyze the data. For example, the analyst may use descriptive statistics such as the mean, median, and mode to describe the data. The analyst may also use inferential statistics such as chi-square tests or correlation tests to determine the relationships between variables. Finally, the analyst may use regression analysis to predict future outcomes based on the data. All of these techniques involve the use of mathematics, primarily algebra and calculus, to solve equations and generate the desired results. Ultimately, the goal of statistical analysis is to draw meaningful conclusions from the data that can be used to inform decision-making.
Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.
Learn more about chi-square tests here:
https://brainly.com/question/14082240
#SPJ4
Special right triangles
x = 13
y = 13√2
Step-by-step explanation:Special right triangles are right triangles with specific angle measurements whose side lengths follow a certain pattern.
45-45-90 Triangle
A 45-45-90 special right triangle is a triangle that has two 45-degree angles and one 90-degree angle. Remember that in a right triangle, the two shorter sides are called the legs. Additionally, the longest side that is directly across from the right angle is the hypotenuse. In a special right triangle, the legs are equal. Additionally, the hypotenuse is √2 times the leg length. So, if x is the leg, then the hypotenuse is x * √2.
Solving For x and y
In the problem above, x represents one of the legs and y is the hypotenuse. Since this is a 45-45-90 triangle we know that the legs are equal, and one of the legs is 13 units. So, x must equal 13 as well. Then, we know that y must equal x * √2. So, y equals 13√2. This radical cannot be simplified any further, so the final answers are:
x = 13y = 13√2Please can someone help me Im stuck
Solving an exponential equation we will see that the correct option is C.
How to find the interest rate?We know that if the 1is P ( a percentage) and the initial value is A, then the value after x years is:
A' = A*(1 + P/100%)^x
We want the value $70 to be doubled after 5 years, sowe can write the equation:
$140 = $70*(1 + P/100%)^5
Now we need to solve that for P.
$140/$70 = (1 + P/100%)^5
2 = (1 + P/100%)^5
2^(1/5) = 1 + P/100%
(2^(1/5) - 1)*100% = P
14.8% = P
Then the correct option is C.
Learn more about exponential functions at:
https://brainly.com/question/11464095
#SPJ1
Total Cups in Boxes:
18
36
54
66
72
84
Total Numer of Boxes: 3
6
9
1.) How many boxes are needed for 66, 72, and 84 cups?
Answer:
Step-by-step explanation:
For 66 cups, 9 boxes are needed.
For 72 cups, 9 boxes are also needed.
For 84 cups, 9 boxes are also needed.