The resort should sell a number of 255 packages at a price of $2400 per person to maximize their monthly profit and the maximal profit is $613,400.
What do you mean by maximal profit?Maximal profit refers to the highest level of profit that a business or organization can achieve given certain constraints such as cost, demand, or pricing. It is the point at which a company or business generates the most revenue after accounting for all expenses associated with production and distribution of goods or services. To determine the maximal profit, a business will need to find the optimal balance between costs and revenue, while also taking into account factors such as competition and market demand. This involves analyzing a variety of financial metrics such as revenue, cost of goods sold, gross profit margin, and net profit margin, among others.
Let's begin by defining some variables:
P = price of the package
Q = number of packages sold
R = revenue
C = cost
Profit = revenue - cost
Based on the information given, we can create the following equations:
R = P * Q
C = 1600 + 2000 * Q
Profit = R - C = P * Q - (1600 + 2000 * Q)
We want to find the price that will maximize the monthly profit. To do this, we need to find an expression for profit in terms of P only. We can use the equation for C to substitute Q in the expression for profit:
C = 1600 + 2000 * Q
Q = (C - 1600) / 2000
Profit = P * Q - (1600 + 2000 * Q)
Profit =
Profit = P * ((C - 1600) / 2000) - C + 1600
Now we can find the derivative of profit with respect to P:
dProfit/dP = (C - 1600) / 2000
To find the value of P that maximizes profit, we need to set the derivative equal to 0:
dProfit/dP = 0
(C - 1600) / 2000 = 0
C = 1600
This means that profit is maximized when revenue equals cost, which makes sense. Substituting C = 1600 into the expression for profit, we get:
Profit = P * ((1600 + 2000 * Q - 1600) / 2000) - 1600
Profit = P * Q - 1600
Now we need to find the corresponding values of P and Q. We know that for every increase of $100 in price, there will be a decrease of 5 in the number of packages sold. This means that:
Q = 300 - (P - 2000) / 100 * 5
Substituting this into the expression for profit, we get:
Profit = P * (300 - (P - 2000) / 100 * 5) - 1600
To find the maximum profit, we can take the derivative of this expression with respect to P and set it equal to 0:
dProfit/dP = 300 - (P - 2000) / 20 = 0
P = 2400
This means that the price that will maximize the monthly profit is $2400 per person. To find the corresponding number of packages sold, we can substitute this into the equation for Q:
Q = 300 - (2400 - 2000) / 100 * 5 = 255
Therefore, the resort should sell 255 packages at $2400 per person to maximize their monthly profit. To find the maximal profit, we can substitute these values into the expression for profit:
Profit = 2400 * 255 - 1600 = $613,400.
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can someone please help me ASAP
please show your work on paper
Wrong Answers Will Be Reported !
The expressions are solved to give;
1.n = 1
2. h = 1
3. x = -5
4. n = 1/4
5. x = 7/2
6. p = 2/3
7. x = -12
8. n = 3
9. c = -1
10. x = 6
What are algebraic expressions?These are expressions that are made up of term, variables, constants, factors and coefficients.
They are also made up of mathematical operations.
From the information given, we have;
1. 5n + n = 2n + 4
collect and add the like terms
4n = 4
Make n subject
n = 1
2. 5h + 2 = h - 2
collect and add the like terms
4h = 4
h = 1
3. 2x - 1 = 3x + 4
collect and add or subtract the like terms
-x = 5
x = -5
4. n = n + 1/5
cross multiply
4n = 1, n = 1/4
5. x + 5 = 3x - 2
collect like terms
-2x = -7
x = 7/2
6. p = p + 2/4
cross multiply
3p = 2
p = 2/3
7. 4(2 + x) = 3x - 4
expand the bracket
8 + 4x = 3x - 4
collect like term
x = -12
8. 5n + 2 = 3n + 4
collect like terms
n = 3
9. 3c - 2 = -3c - 8
collect like terms
6c = - 6
c = -1
10. 3x + 1 = 2x - 5
collect the like terms
x = 6
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(4+sqrt -20i)+(5+sqrt -30i)
The sum of the two complex numbers is 9 - √30) + 2√(5)i.
Explain complex numbers
Complex numbers are numbers that consist of a real part and an imaginary part, expressed as a+bi, where a and b are real numbers and i is the imaginary unit. They are used in mathematics to represent solutions to equations that cannot be solved using only real numbers.
According to the given information
To add complex numbers (4+√(-20i)) and (5+√(-30i)), we add their real parts separately and their imaginary parts separately:
Real parts: 4 + 5 = 9
Imaginary parts: √(-20i) + √(-30i)
We can simplify each of the square roots using the fact that:
√(-1) = i
Therefore:
√(-20i) = √(20) * √(i) = 2√(5) * i
√(-30i) = √(30) * √(i) = √30) * i * √(-1) = √(30) * i^2 = -√(30)
So the imaginary parts simplify to:
2√(5)i - √(30)
Putting it all together, we get:
(4+√(-20i)) + (5+√(-30i)) = 9 + (2√(5)i - √(30)) = 9 - √(30) + 2√(5)i
Therefore, the sum of the two complex numbers is 9 - √(30) + 2√(5)i.
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You have invested in a plot of land and have turned it into a campground
to rent out space to campers. You need to decide what to charge your
customers. You will charge somewhere between $40 and $150 per
campsite. If you charge dollars per day, it has been found that the
number, , of campsites rented per day can be modeled by the function
() = −0.01^2 − 2x + 600. How much should you charge to maximize your
revenue, ?
Answer:
Step-byeat -step explanation:
evaluate the expression 8 - 12 - (-6)
Answer:
2
Step-by-step explanation:
An Internet provider is trying to gain advertising deals and claims that the mean time online per day is than minutes. You are asked to test this claim.
(a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the claim?
(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim?
a. Null hypothesis (H0): The mean time online per day is 30 minutes or more.
Alternative hypothesis (Ha): The mean time online per day is less than or equal to 30 minutes.
b. Null hypothesis (H0): The mean time online per day is less than or equal to 30 minutes.
Alternative hypothesis (Ha): The mean time online per day is more than 30 minutes.
What is null hypothesis?A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.
A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.
a) The following is how you can write the null and alternative hypotheses if you are the Internet service provider and want to back up your claim that people spend less than 30 minutes online on average per day:
Null hypothesis (H0): The mean time online per day is 30 minutes or more.
Alternative hypothesis (Ha): The mean time online per day is less than or equal to 30 minutes.
(b)If you address a contending promoter and need to dismiss the case that the interim online each day is not exactly or equivalent to 30 minutes, the invalid and elective speculations can be composed as follows:
Null hypothesis (H0): The mean time online per day is less than or equal to 30 minutes.
Alternative hypothesis (Ha): The mean time online per day is more than 30 minutes.
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Solve for m 5(20 - m) = 40
Answer: 12
Step-by-step explanation: distribute 5 to 20 and -m which gives you
100 - 5m = 40. Subtract 100 on both sides which gives you -5m = -60. Divide both sides by -5 which gives you m = 12
The committee members will spend money to rent the following equipment:
• 2 fog machines
• 1 sound equipment set-up
• 1 disco ball
They already spent $855 on lighting and $462 on costumes.
Each audience member will receive a gift that costs $1.15 each.
What is the total amount of money, in dollars, the committee will spend on the talent show?
Item
Spotlight
Fog machine
Sound equipment set-up
Disco ball
Cost Per Item
$ 45 each
$ 40 each
$165 each
$ 45 each
Answer:
1,607 plus the amount of people multipled by 1.15
Step-by-step explanation:
2 fog machines = $80
1 sound equipment = $165
1 disco ball = $45
80+165+45+855+462= $1,607
Find the surface area of a pyramid (which has 4 triangular sides and 1 square base) that has triangular height of 6 feet and base length of 4 feet.
The surface area of the pyramid is 64 square feet.
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
To find the surface area of the pyramid, we need to find the area of each face and add them together.
First, let's find the area of the base, which is a square with side length 4 feet:
Area of base = 4 feet x 4 feet = 16 square feet
Next, we need to find the area of each triangular face. We know that the height of each triangular face is 6 feet, and the base of each triangular face is one of the sides of the square base, which is 4 feet. To find the area of a triangle, we use the formula:
Area of triangle = 1/2 x base x height
Area of each triangular face = 1/2 x 4 feet x 6 feet = 12 square feet
There are 4 triangular faces, so the total area of all the triangular faces is:
Total area of triangular faces = 4 x 12 square feet = 48 square feet
Now we can find the total surface area by adding the area of the base and the area of the triangular faces:
Total surface area = area of base + area of triangular faces
Total surface area = 16 square feet + 48 square feet
Total surface area = 64 square feet
Therefore, the surface area of the pyramid is 64 square feet.
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Look at the key below the map that shows the color-scaled performance range. What is the range for 1 Year performance? How does it compare to the 1 Dat performance range? Why do you think this is the case?
1 year performance: -30%, -20%, -10% 0%, 10%, 20%, 30%
1 Day performance : -3%, -2%, -1%, 0, 10%, 20%, 30%
The range of 1 year performance is more than 1 Day performance.
We have,
1 year performance: -30%, -20%, -10% 0%, 10%, 20%, 30%
1 Day performance : -3%, -2%, -1%, 0, 10%, 20%, 30%
Now, the range of 1 year performance
= Highest - lowest
= 30 - (-30)
= 60
and, the range of 1 Day performance
= Highest - lowest
= 30 - (-3)
= 33
Thus, the range of 1 year performance is more than 1 Day performance.
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Drag each number to the correct location on the table.
Complete a two-way frequency table using the given probability values.
The complete table as determined from the given probabilities is given below:
X Y Total
A 40 28 68
B 38 54 92
Total 78 82 160
What is the probability P(A|B)?P(A|X) means the conditional probability of A given X has occurred. In this case, 40/92 means out of 92 times X occurred, A occurred 40 times.
P(B) means the marginal probability of B, which is the total probability of B occurring regardless of whether A occurred or not. In this case, 78/160 means out of 160 trials, B occurred 78 times.
The row and column totals are calculated by adding up the corresponding values.
The grand total is the sum of all the values in the table.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See the attached image.
Solve for x
X
18
24
16
Answer: should be 24?
Step-by-step explanation:
im not sure
The diagram represents two statements:p and q Which represents regions a,b,c
The statement for regions A, B, C are "Elements in P but not in Q." "Elements in both P and Q." and "Elements in Q but not in P." respectively
Describing the statements of the regions of A, B and CThe descriptions of the regions A, B and C from the Venn Diagram that complete the question are as follows:
Region A:
This region represents the set of elements that belong only to P, but not to Q i.e. A is the set of elements that are in P but not in Q.
Region B:
This region represents the set of elements that belong to both circle P and circle Q. i.e. B is the intersection of sets P and Q.
Region C:
This region represents the set of elements that belong only to circle Q, but not to circle P. i.e. C is the set of elements that are in Q but not in P.
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Downtown Mathville is laid out as a 6 x 6 square grid of streets (see diagram below). Your apartment is located at the southwest corner of downtown Mathville (see point H). Your math classroom is located at the northwest corner of downtown Mathville (see point M). You know that it is a 12-block walk to math class and that there is no shorter path. Your curious roommate (we’ll call her Curious Georgia) asks how many different paths (of length 12 blocks – you don’t want to back track or go out of your way) could you take to get from your apartment to the math class. It should also be clear that no shorter path exists. Can you solve Curious Georgia’s math problem?
Yes, we can solve Curious Georgia's math problem using the concept of combinations.
There are 924 different paths we can take from our apartment to the math classroom, each of which is exactly 12 blocks long and does not backtrack or go out of the way.
We have,
Yes, we can solve Curious Georgia's math problem using the concept of combinations.
Since we cannot backtrack or go out of our way, we need to take exactly 6 blocks to the north and 6 blocks to the east to reach the math classroom.
This means that we need to choose 6 out of the 12 blocks to go north, and the remaining 6 blocks will be used to go east.
The total number of paths we can take is the number of ways we can choose 6 blocks out of the 12 blocks.
This can be calculated using the combination formula:
[tex]^nC_r[/tex] = n! / r!(n-r)!
where n is the total number of objects, r is the number of objects to choose, and ! represents the factorial function
In this case,
we have n = 12 and r = 6.
The number of paths.
= [tex]^{12}C_6[/tex]
= 12! / 6!(12-6)!
= 924
Therefore,
There are 924 different paths we can take from our apartment to the math classroom, each of which is exactly 12 blocks long and does not backtrack or go out of the way.
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determine the area of the shaded region of a wooden patch in a circular park if the radius of the circle is: a. 8m b. 12
Answer:
22.88
Step-by-step explanation:
O/360 * π r squared
90/360 * 8 squared
1/4 * π (64)
4 π
Next:
b*h/2
8*12/2 = 48
8π - 48
8π = 25.12
48-25.12 = 22.88
help this is due today!!!
Answer:
46
Step-by-step explanation:
46 (ve had this problem before)
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
49 55 42 46 47 42 38
Julia measured the high temperature in her town for one week. Using the chart above, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth.
Be sure to show your work for finding:
the mean of the set of data
the distance of each number from the mean
the mean absolute deviation
the mean absolute deviation for the high temperatures in Julia's town for the week is 4.9 degrees.
How to solve the question?
To find the mean absolute deviation (MAD) for the high temperatures in Julia's town, we first need to find the mean temperature for the week.
To do this, we add up all the temperatures and divide by the number of temperatures:
(49 + 55 + 42 + 46 + 47 + 42 + 38) ÷ 7 = 43.3
The mean temperature for the week is 43.3 degrees.
Next, we need to find the distance of each temperature from the mean. To do this, we subtract the mean from each temperature:
|49 - 43.3| = 5.7
|55 - 43.3| = 11.7
|42 - 43.3| = 1.3
|46 - 43.3| = 2.7
|47 - 43.3| = 3.7
|42 - 43.3| = 1.3
|38 - 43.3| = 5.3
We take the absolute value of each difference to ensure that the distances are positive.
Now, we find the mean of the distances by adding up all the distances and dividing by the number of temperatures:
(5.7 + 11.7 + 1.3 + 2.7 + 3.7 + 1.3 + 5.3) ÷ 7 = 4.9
Therefore, the mean absolute deviation for the high temperatures in Julia's town for the week is 4.9 degrees.
In conclusion, the mean absolute deviation is a measure of the variability of a set of data. It is calculated by finding the mean of the absolute distances of each data point from the mean. In this case, the MAD is 4.9 degrees, indicating that the temperatures for the week were relatively close to the mean.
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Find the angles of △ABC given that a=11, b=20, and c=18.
Round each angle to the nearest tenth of a degree and use that rounded value to find the remaining angles.
The angles of △ABC are approximately:
A ≈ 36.1 degrees
B ≈ 55.9 degrees
C ≈ 101.3 degrees
Angles of triangle calculation.
To find the angles of △ABC, we can use the Law of Cosines, which states that:
c^2 = a^2 + b^2 - 2ab*cos(C)
where C is the angle opposite the side c.
Using the given values, we can substitute and solve for cos(C):
18^2 = 11^2 + 20^2 - 2(11)(20)cos(C)
324 = 441 + 400 - 440cos(C)
cos(C) = -17/440
C ≈ 101.3 degrees
We can now use the Law of Sines to find the other angles:
sin(A)/a = sin(C)/c
sin(A)/11 = sin(101.3)/18
sin(A) ≈ 0.593
A ≈ 36.1 degrees
sin(B)/b = sin(C)/c
sin(B)/20 = sin(101.3)/18
sin(B) ≈ 0.820
B ≈ 55.9 degrees
Therefore, the angles of △ABC are approximately:
A ≈ 36.1 degrees
B ≈ 55.9 degrees
C ≈ 101.3 degrees
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Please help me I don’t understand this
Answer:
the required answer are -8,0,4
There are spiders and dogs in Veronica's backyard. Veronica sees 240 legs in total. The total number of animals (spiders and dogs) is 3 times the amount of spiders. How many spiders are in the backyard?
There are 15 spiders in the backyard. The correct option is D
To solve this problemLet's begin by resolving the issue using algebra. Let's use "s" for the quantity of spiders and "d" for the quantity of dogs in the backyard.
As a result of the difficulty, we know that there are 3 times as many animals as there are spiders.
s + d = 3s
Simplifying this equation, we get:
d = 2s
We also know that there are 240 legs in the backyard, with each dog having 4 legs and each spider having 8. Thus, we can create the following equation:
8s + 4d = 240
Substituting d = 2s, we get:
8s + 4(2s) = 240
Simplifying and solving for s, we get:
16s = 240
s = 15
Therefore, there are 15 spiders in the backyard.
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if necessary.
21. A company makes specialized fish tanks, like the one shown below. If 1 gallon = 0.134 ft³, how many
gallons of water will it take to fill the fish tank completely?
9 ft
2 ft
3 ft
V = 6
It would take about 402.985 gallons of water to fill the fish tank completely.
What is the amount of water?To calculate the number of gallons of water it would take to fill the fish tank completely, we need to multiply the dimensions of the fish tank in cubic feet by the conversion factor to convert cubic feet to gallons.
Given:
Length = 9 ft
Width = 2 ft
Height = 3 ft
Conversion factor: 1 gallon = 0.134 ft³
Step 1: Calculate the volume of the fish tank in cubic feet
Volume = Length × Width × Height = 9 ft × 2 ft × 3 ft = 54 ft³
Step 2: Convert cubic feet to gallons
54 ft³ × (1 gallon / 0.134 ft³) ≈ 402.985 gallons
So, it would take approximately 402.985 gallons of water to fill the fish tank completely.
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please help me with this question..
The possible values of a are 3 and -3.
How to find the value of a?We know that the coefficient of x⁷ in the given expression is 1215, the expression is:
[tex]x^3(ax + 3)^5[/tex]
The term with x⁷ will be:
[tex]5*(3x^7*a^4) = (15a^4)*x^7[/tex]
Then we need to solve the equation:
15a⁴ = 1215
a⁴ = 1215/15
a⁴ = 81
a = ⁴√81 = ± 3
These are the possible values of a.
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Forty-two divided by seven plus the quantity three divided by six
Therefore , the solution of the given problem of expression comes out to be 6.5 is the abbreviated numerical expression.
What is an expression?Shifting numbers, which can be expanding, variable diminishing, or blocking, should be used instead of random estimations. Only through exchanging goods like tools, expertise, or answers to problems could they assist one another. The explanation on the reality equation may include the justifications, elements, or mathematical claims for tactics like increased argumentation, falsification, and blending.
Here,
The mathematical expression is expressed as follows:
=> 42 / 7 + (3 / 6)
We can use the division operations to make the expression simpler:
=> 7 /42 = 6
=> 6 / 3 = 0.5.
The statement is thus more easily expressed as follows:
=> 6 + 0.5
When we add the two numbers, we get:
=> 6.5
Therefore, 6.5 is the abbreviated numerical expression.
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The complete question is " Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six"
EASY ALGEBRA 2 !! PLEASE HELP
according to the question the balance in the account earning compound interest after 6 years is $4,156.22.
what is interest ?Multiply the principal with the rate of interest, the time period, and various other factors to determine simple interest. Simple returns = money + interests + hours is the marketing formula. This approach makes calculating interest the simplest. The approach to calculating interest that is most usually employed is as a percentage over the principal sum. For instance, he will just pay his share of the interest at 100% when he borrows $100 with a friend and agrees to shell out it back with 5% interest. $100 has been reduced to $5 (0.05). Every time you borrow money, you must pay interest, which is applied to whatever loans you make. On the loan balance, interest is typically calculated using an annual percentage.
given,
To calculate the balance in the account earning compound interest after 6 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the sum of money at the end of the period of time
P stands for the principle (beginning sum).
the decimal representation of the annual interest rate (r).
n represents how many times the interest rate is compounded annually.
t is the duration (in years).
In this case, we have:
P = $3500 (the principal)
r = 2.16% = 0.0216 (the annual interest rate)
Since interest is compounded four times a year (quarterly), n is equal to four.
t = 6 (the time period is 6 years)
With these values entered into the equation, we obtain:
A = 3500(1 + 0.0216/4)^(4*6)
A = $4,156.22
Therefore, the balance in the account earning compound interest after 6 years is $4,156.22.
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The balance in the account earning compound interest after 6 years when the principal is $3500 at an annual interest rate of 2.16% compounded quarterly is approximately $4,029.53.
What is compound interest?Compound interest is the term used to describe the interest that is calculated on both the initial investment and any accumulated interest. It is interest on top of interest, to put it another way.
We can use the formula for compound interest to find the balance in the account after 6 years:
A = P(1 + r/n)^(nt)
where:
A = balance after 6 years
P = principal = $3500
r = annual interest rate = 2.16%
n = number of compounded times per year = 4 (quarterly)
t = time in years = 6
Plugging in the values, we get:
A = 3500(1 + 0.0216/4)^(4×6)
A ≈ $4,029.53
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-4) = -11 B. g(0) = 2 C. g(7) = -1 D. g(-13) = 20
A statement which could be true for g is that: D. g(-13) = 20.
What is a domain?In Mathematics and Geometry, a domain can be defined as the set of all real numbers for which a particular function is completely defined.
How to determine the true statement?Since the domain of this function is given by -20 ≤ x ≤ 5, it simply means that the value of x must between -20 and 5. Also, with a range of -5 ≤ g(x) ≤ 45, the value of x must between -5 and 45.
By extrapolating the function, we can deduce that:
g(0) = -2
g(-9) = 6
g(-13) = 20
In this context, we can reasonably infer and logically deduce that based on the answer options provided, g(-13) = 20 is the only statement that could be true for the function g.
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Find the area
Round to nearest tenth
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
how does cot^2(x)-tan^2(x)=csc^2(x)-sec^2(x)
The proof of cot²(x) - tan²(x) = csc²(x) - sec²(x) is the help of trigonometry
identity and Pythagorean identity .
what is trigonometry identity ?A trigonometric identity is an equation that is true for all values of the variables in the equation, where the variables are trigonometric functions such as sine, cosine, tangent, cotangent, secant, or cosecant.
The Pythagorean identity is a fundamental trigonometric identity that relates the three basic trigonometric functions: sine, cosine, and tangent, in terms of the unit circle or right triangle.
Proof of cot²(x) - tan²(x) = csc²(x) - sec²(x)The identity you provided, cot²(x) - tan²(x) = csc²(x) - sec²(x), is a trigonometric identity that can be derived from the Pythagorean identity and the reciprocal identities. Here's one way to prove it:
Start with the Pythagorean identity:
sin²(x) + cos²(x) = 1
Divide both sides by sin²(x):
1 + cos²(x)/sin²(x) = 1/sin²(x)
Recall that cot(x) = cos(x)/sin(x) and tan(x) = sin(x)/cos(x):
1 + cot²(x) = csc²(x)
Subtracting sec²(x) from both sides:
cot²(x) - tan²(x) = csc²(x) - sec²(x)
Therefore, cot²(x) - tan²(x) = csc²(x) - sec²(x) is a valid trigonometric identity.
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As our scientific and technical knowledge has increased, so has our need for ever-smaller and ever-larger units of measure. The prefixes used to denote some of these units of measure are listed in the table below.
These new units of measure are quickly working their way into our everyday lives. For example, it is quite easy to purchase a 1-terabyte hard drive. One terabyte (TB) is equal to 1012 bytes. As another example, many computers can do multiple operations in 1 nanosecond (ns). One nanosecond is equal to 10−9 s.
In the 1980s, it became possible to measure optical events in nanoseconds and picoseconds. Express 1 ps as a decimal.
The expression of 1 picoseconds as a decimal would be = 0.000000000001 picoseconds.
What is a scientific notation representation of figures?The scientific notation of representation of figures is a systematic way of representation of too large or too small figures encountered in everyday arithmetics.
From the table above, the larger figures are represented with 10 ^ X without a negative sign.
But the smallest figures are represented with 10 ^ -X with a negative sign.
The scientific notation for 1 picoseconds = 10^-12
When converted to decimal
= 0.000000000001 picoseconds.
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What is the slope of the line
Step-by-step explanation:
Look at the points (0,-3) and ( 3,0)
slope, m = rise / run = 3 / 3 = 1
Answer:
1
Step-by-step explanation:
y=x+3
HELP ME PLEASE! And I already did the first part I need help on the second. (Give me a full explanation NO DECIMALS! Just fractions.)
The amount of chalk that is greater is yellow.
Michelle is correct because more than 1/2 the chalk in the bucket is blue.
How to determine which amount of chalk is greater?In order to determine the amount of chalk that is greater between the amount of yellow chalk and amount of green chalk, we would have to find the difference between them as follows;
Difference = 2/6 - 3/12
Difference = (4 - 3)/12
Difference = 1/12 (positive value)
Similarly, we can determine the greater amount of chalk as follows;
2/6 × 2/2 = 4/12
4/12 > 3/12
Total number of chalks = 2/6 + 5/12 + 3/12
Total number of chalks = (4 + 5 + 3)/12
Total number of chalks = 12/12
Total number of yellow and green chalks = 2/6 + 3/12
Total number of yellow and green chalks = (4 + 3)/12
Total number of yellow and green chalks = 7/12 chalks.
1 - 7/12 = 5/12
7/12 - 1/2 = 6/12 (Michelle is correct).
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