Answer:
18Step-by-step explanation:
Given the expression 18+9*4-27+9
Using PEMDAS method
P is for parenthesis
E is for exponents
M is for multiplication
18+(9*4)-27+9
= 18+36-27+9
Next is Addition
= (18+36)-(27+9)
= 54-36
Then Subtraction
= 54-36
= 18
Hence the required value is 18
select all ratios equivalent to 7:4
Answer:14:8,21:12 , 28,16
Step-by-step explanation:
Answer:
14 : 8, 21 : 12, 28 : 16, 35 : 20 etc
Step-by-step explanation:
What is the constant of proportionality in the equation y=5/4x
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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An expression is shown below:
6x2y − 3xy − 24xy2 + 12y2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Given:
The given expression is:
\(6x^2y-3xy-24xy^2+12y^2\)
To find:
Part A: The expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely.
Solution:
Part A:
We have,
\(6x^2y-3xy-24xy^2+12y^2\)
Taking out the highest common factor 3y, we get
\(=3y(2x^2-x-8xy+4y)\)
Therefore, the required expression is \(3y(2x^2-x-8xy+4y)\).
Part B:
From part A, we have,
\(3y(2x^2-x-8xy+4y)\)
By grouping method, we get
\(=3y(x(2x-1)-4y(2x-1))\)
\(=3y(x-4y)(2x-1)\)
Therefore, the required factored form of the given expression is \(3y(x-4y)(2x-1)\).
What is the area of the trapezoid?
A. 68 cm
B. 136 cm
C. 214 cm
D. 268 cm
Answer:
b
Step-by-step explanation:
14.5+19.5
34.05/2
*8
=136
dr
15
3-
13 1
-6
-9
-12
-15
2 3 4 5
X
Which lists all of the x-intercepts of the graphed
function?
O(0.6)
O(1, 0) and (2, 0)
O(1, 0), (2, 0), and (-3, 0)
O(1.0), (2, 0), (-3,0), and (0, 6)
Answer:
not sure sorry -(1,0)and (2,0)
In a solar system 6 of 9 of the planets has a satellite what is the percentage of planets that don’t have a satellite
Answer:
33%
Step-by-step explanation:
6/9 = .66 which is the amount that do have it
1 - .66 = .33 which is the amount that dont.
.33 x 100 = 33%
Need help find answers
Answer:
JMK= 54 degrees, JKH=45 degrees, HLK=90 degrees, HJL=45 degrees, LHK=45 degrees, JLK=45 degrees
Step-by-step explanation:
solve and graph the inequality 4x > 16
Answer:
B.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Five percent of 2000
Answer: 1900
Step-by-step explanation:
Answer:
five percent of 2000 is 100
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
Find the least number which should be Subtracted from 56037 so that the difference is exactly divisible by 139.
Answer:
Answer will be 55898.
Step-by-step explanation:
How do you write 3.50 x 102 in standard form?
If electricity is billed at a rate of $0.75 per KWH and you used on average 120 KWHs per month, what would you expect to pay each month?
You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.
How to find the expected monthly payTo calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.
Given:
Cost per KWH: $0.75
Average monthly usage: 120 KWHs
To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:
Monthly Cost = Cost per KWH * Average monthly usage
Plugging in the values, we have:
Monthly Cost = $0.75/KWH * 120 KWHs
Calculating the result:
Monthly Cost = $90
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- 5(x - 3) + 4 Completely simplify the expression
Answer:
Step-by-step explanation:
08– Ao Fatorar a expressão
2+6+9
a solução correta
2 −9
Leia e responda:
I need answerrrrrrrrr
Answer:
4
Step-by-step explanation:
Y-intercept is where the line crosses the y-axis.
In this case, you can see the line cross the y-axis at 4.
original price: $148 discount: ? sale price: $125.80
Answer:
15 % off
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 148 × 15/100
Discount = 148 x 0.15
You save = $22.20
Final Price = Original Price - Discount
Final Price = 148 - 22.2
Final Price = $125.80
sound travels 1129 feet per second air. how far can sound travel in 2 seconds when traveling through hair
Answer:
Sound travels 2258 feet in 2 seconds while travelling through air.
Step-by-step explanation:
4. For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form
y = mx + b to represent the situation.
Ay = 3x+2
B. y = 3x+1
C. y = 6x+2
D. y = -6× + 2
y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job
x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).
y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.
y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.
y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.
y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.
Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
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When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movies: romantic comedy (R), action/adventure (A), or drama (D); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each.
Required:
List the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from. REDDIT
Answer:
\(S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}\)
Step-by-step explanation:
Given
\(Restaurant = \{P,B\}\)
\(Movies = \{R,A,D\}\)
\(Post-movie = \{C,I\}\)
Required
List out the sample space
To do this, we simply pick 1 item in each category, without repetition.
So, we have:
\(S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}\)
3) Which value below would
have the most dots on a line
plot?
3
6.25
4.25
3
Your answer
6.5
6.25
3 co
3.5
6.5
4.25
* 1 point
5
4.25
7.25
5.5
The value that would have the most dots on a line plot is given as follows:
4.25.
What is a dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
A line plot is built from the dot plot, in which:
The input is each observation of the data-set.The output is the number of dots on the data-set.Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).
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In this activity, you are investigating the financial viability of the martingale betting strategy that was introduced in class.
Recall how a martingale works. You place a bet on any "even money" event (that is, a wager where winning means gaining the money bet). If you win, you stop — you have won money. If you lose, you keep doubling the bet until you win, and then stop. Your winnings will cover the previous losses. Unfortunately, a long losing streak means that you run out of money and can no longer bet – hence losing a lot.
Balph Snerdwell has $31 in his wallet. He is going to be betting on red or black, at the roulette table. Recall that, in an American casino, there are 38 numbers — 18 red and 18 black (plus 0 and 00). So Balph has an 18/38 probability of winning, each time he bets.
a) Balph plays a martingale — doubling his bet after each loss. What’s the maximum number of times he can lose? Why?
b) Recall that Balph might win a dollar from playing a martingale … or he might lose all $31 in his wallet. What’s the probability that he wins a dollar? That he loses everything?
c) And so, what is the expected value of Balph’s net winnings, from one martingale?
d) Sometimes Balph will bet only one dollar. But sometimes he will bet three dollars (if he loses, then wins). Or seven dollars (lose, lose, win). Or some other amount. What are the possible values for total amount wagered? Their probabilities? Therefore, what is the expected value of the numbers of dollars wagered?
e) In Part D you found how much money Balph won, on average. In Part E, you found how much money Balph bet, on average. How much did Balph win, per dollar bet? (Does this number look familiar?)
The answers are:
b) 0.9596, 0.0404
c) expected value of dollars won = -$0.29236
d) expected value of dollars wagered = $5.55475
Can someone please break it down and explain how they got the answers
Answer:
a) Balph can lose a maximum of 6 times in a row before running out of money and not being able to place any more bets. This is because if he loses 6 times in a row, he would have to bet $64 (1+2+4+8+16+32) which is more than the $31 he has in his wallet.
b) The probability that Balph wins a dollar is 0.9596 and the probability that he loses everything is 0.0404. These probabilities are calculated by assuming a 18/38 probability of winning each bet and using the martingale betting strategy.
c) The expected value of Balph's net winnings from one martingale is -$0.29236. This means that on average, Balph can expect to lose $0.29236 each time he plays the martingale betting strategy.
d) The possible values for the total amount wagered are $1, $3, $7, $15, $31, and $64. These values correspond to the amount wagered after losing 0, 1, 2, 3, 4 and 5 times in a row. The probability of each value depends on the probability of losing that many times in a row, calculated using the 18/38 probability of winning each bet. The expected value of the number of dollars wagered is $5.55475.
e) The amount Balph wins per dollar bet is -0.0527. This number is calculated by dividing the expected value of Balph's net winnings by the expected value of the number of dollars wagered. This number is less than zero, indicating that on average, Balph will lose money for every dollar he bets.
"What are the coordinates of your reflected triangle A’B’C’?"
Please help! Thank you!
A' - (-1,4)
B' - (-1,8)
C' - (-5,4)
hope this helps
Question 7 of 10
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 8 feet and the sides have a length of 15 feet. He also
measured one diagonal to be 17 feet. What is the length of the other
diagonal?
A. 8 feet
OB. 17 feet
O C. 15 feet
OD. 23 feet
The length of the other diagonal is 17 feet.
What is diagonal?
When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them.
Main Body:
Given:
A construction worker needs to put a rectangular window on the side of a building.
He knows from measuring that the top and bottom of the window have a width of 8 feet and the sides have a length of 15 feet.
He also measured one diagonal to be 17 feet.
Solution:
As we know that the rectangle is a particular type of parallelogram.
So, the rectangle has diagonals that have equal lengths.
Therefore, one diagonal length is given as 17 feet.
Hence, the other diagonal length will be equal to the given diagonal length.
So, the length of the other diagonal is 17 feet.
Hence, Option B is the correct answer.
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What is the slope of the line
Answer:
3/4
Step-by-step explanation:
Apollo Spas services 297 hot tubs. If each hot tub needs 155 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Apollo Spas will need 46.035 liters of muriatic acid to service all 297 hot tubs.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the total amount of muriatic acid needed for all of the hot tubs, we can multiply the amount needed for one hot tub (155 mL) by the number of hot tubs (297) and convert the result to liters.
First, let's convert the volume of acid needed for one hot tub from milliliters to liters by dividing by 1000:
155 mL ÷ 1000 = 0.155 L
Now we can find the total amount of acid needed for all of the hot tubs:
0.155 L/hot tub x 297 hot tubs = 46.035 L
Therefore, Apollo Spas will need 46.035 liters of muriatic acid to service all 297 hot tubs.
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Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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Solve the compound inequality and give your answer in interval notation.82 +4 > 20 OR — 62 +3 >- 3
Problem
We have the following inequality given:
8x +4 > 20
OR
-6x+3 >= -3
Solution
For this case we can start with the first inequality and we got:
We can subtract 4 in both sides
8x > 20-4
8x >16
And now we can divide both sides by 8
x > 2
-6x +3 >= -3
If we subtract 3 in both sides we got:
-6x >= -6
And dividing by -6 in both sides we got:
x <1
So then on interval notation we got:
\((-\infty,1)U(2,\infty)\)10x - 8y = 40
5x - 2y = 40
What is the value of y in the (x, y) solution to the
system of equations shown above?
Answer: 10
Step-by-step explanation:
Step-by-step explanation:
10x-8y = 40 (1)
5x-2y= 40 (2)
multiply (2) by -2 then add to (1) to get rid of x
-10x+4y+10x-8y = 40+ (-80)
-4y = -40
4y = 40
y= 40/4
y = 10
the answer is 10
PLS HELP ME WITH MATH!!!!!
Answer:
⚪ (4 • 3) + (4 • 8)
Step-by-step explanation:
\(4•(3 + 8)\)
by distributing 4 in the bracket:
\( = \{(4•3) + (4•8) \}\)
05.06)A chocolate bar measures 30 mm wide, 70 mm long, and four and one over two mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper.
The net of a rectangular prism with a height of 30 millimeters, a length of 70 millimeters, and a width of 4 and 1 over 2 millimeters.
Will's Wrapping Company needs 2,550 mm2 of paper to wrap the chocolate bar.
Will's Wrapping Company needs 4,200 mm2 of paper to wrap the chocolate bar.
Will's Wrapping Company needs 5,100 mm2 of paper to wrap the chocolate bar.
Will's Wrapping Company needs 7,000 mm2 of paper to wrap the chocolate bar.
Answer:
5100 mm², hope that helps! (OwO)
Step-by-step explanation:
surface area]=2*[area of the base]+[perimeter of the base]*height
area of the base=30*70-----> 2100 mm²
perimeter of the base=2*(30+70)-----> 200 mm
height=4 1/2 mm-----> (4*2+1)/2-----> 9/2 mm
[surface area]=2*[2100]+[200]*9/2-----> 5100 mm²
Answer:
5100
Step-by-step explanation: