Answer:
x = 1.28
Step-by-step explanation:
Given equation:
\(3 \frac{1}{2}x-6=2-2\frac{3}{4}x\)
Add 2³/₄x to both sides of the equation:
\(\implies 3 \frac{1}{2}x+2\frac{3}{4}x-6=2-2\frac{3}{4}x+2\frac{3}{4}x\)
\(\implies 3 \frac{1}{2}x+2\frac{3}{4}x-6=2\)
Add 6 to both sides of the equation:
\(\implies 3 \frac{1}{2}x+2\frac{3}{4}x-6+6=2+6\)
\(\implies 3 \frac{1}{2}x+2\frac{3}{4}x=8\)
Rewrite the mixed numbers as improper fractions:
\(\implies \dfrac{3 \cdot 2+1}{2}x+\dfrac{2 \cdot 4+3}{4}x=8\)
\(\implies \dfrac{7}{2}x+\dfrac{11}{4}x=8\)
Make the denominators of the fractions the same:
\(\implies \dfrac{7 \cdot 2}{2 \cdot 2}x+\dfrac{11}{4}x=8\)
\(\implies \dfrac{14}{4}x+\dfrac{11}{4}x=8\)
\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:\)
\(\implies \dfrac{14+11}{4}x=8\)
\(\implies \dfrac{25}{4}x=8\)
Multiply both sides by 4:
\(\implies 4 \cdot \dfrac{25}{4}x=4 \cdot8\)
\(\implies 25x=32\)
Divide both sides by 25:
\(\implies \dfrac{25x}{25}=\dfrac{32}{25}\)
\(\implies x=\dfrac{32}{25}\)
Convert the improper fraction to a mixed number:
\(\implies x=1 \frac{7}{25}\)
The value of x as a decimal:
\(\implies x=1.28\)
what is the area of a right triangle calculator
Simplify: –3(y 2)2 – 5 6y What is the simplified product in standard form? y2 y.
Answer:
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
-3
y2 +
-6
y +
-17
Step-by-step explanation:
The simplification of the given expression will be -17.
What is simplification?
The process of reducing the complex mathematical expressions into the simplest form is called simplification.
Given expression will be simplified as:-
= -3 ( y + 2 ) 2 - 5 + 6y
= ( -3y - 6 ) 2 - 5 + 6y
= ( -6y - 12 -5 + 6y )
= ( -17 )
Hence the simplification of the given expression will be -17.
To know more about Simplification follow
https://brainly.com/question/723406
#SPJ2
Convert 1,900 centimeters to meters meters
Answer:
19
Step-by-step explanation:
1 m = 100 cm or 0.01 m = 1 cm
1900/100=19
Answer:
when you convert 1900 cm to meters, you'll get 19
Which value is NOT located between these two numbers on the number line?
Answer:
C pi/9
Explanation:
"We need to find the number that is not between 1 and 6.28.
A pi = 3.14; 3.14 is between 1 and 6.28, so this is not the answer.
B sqrt(9) = 3; 3 is between 1 and 6.28, so this is not the answer.
C pi/9 = 3.14/9 = 0.349; 0.349 is not between 1 and 6.28, so this is the answer.
D pi^2/9 = (3.14 * 3.14)/9 = 9.86/9 = 1.095; 1.095 is between 1 and 6.28, so this is not the answer." (mathstudent55) thank you to mathstudent55 for the answer.
Answer:
10
Step-by-step explanation:
Squareroot of 10 over 12 is 2
3 pi is 9.424777961
One day at a baseball park, Taylor bought 3 sandwiches and 2 drinks to share with a friend. The total cost was $19. On another day at the baseball park, Taylor bought 2 sandwiches and 1 drink for $12. What is the total cost of 1 sandwich and 2 drinks at the baseball park?
Answer:
$9.00
Step-by-step explanation:
Let s = the cost for a sandwich.
Let d = the cost of a drink
3s + 2d = 19 3s + 2d = 19
2s + 1d = 12 → multiply this by -2 and add to the first equation -4s -2d = -24
-s = -5
-s = -5 Divide both sides by -4
s = 5
A sandwich costs $5.00.
Substitute 5 for s
2s + 1d = 12
2(5) + 1d = 12
10 + 1d = 12 Subtract 10 from both sides
1d = 2
A drink costs $2.00
The cost of 1 sandwich and 2 drinks would be
5 + 2(2)
5 + 4 = 9
It will cost $9.00 for 1 sandwich and 2 drinks.
Helping in the name of Jesus.
Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points)
10 + 5x
5 + 10 + x
10x + 5
5 + 10 ÷ x
Answer:
10x + 5
Step-by-step explanation:
x = some number
10x = 10 multiplied by 'x'
10x+5 = five more than 10 multiplied by some number
given f^-1(36)=7, what value of x makes f(x)=36
Answer:
x =7
Step-by-step explanation:
\( {f}^{ - 1} (36) = 7 \\ \\ \implies \: 36 = {f} (7) \\ \\ f(x) = 36.... (given) \\ \\ f(7) = f(x) \implies \: x = 7\)
Please help it's urgent if you do not help you will become Jeffery Epstein son!
| Una empresa monopoliza un mercado cuya demanda es Qd = 25-0,25P. Las condiciones de costo de esta empresa son: CVMe = Q y CF = 100. 1) Determinar: a) ¿Cuántas unidades producirá y a qué precio? b) ¿Cuál es el beneficio empresario? c) ¿Cuál es la elasticidad precio de la demanda en el punto de equilibrio?
Answer:
Step-by-step explanation:
6. what are the two most generic and widely used valuation multiples?
The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.
1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.
A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.
2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).
The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.
The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.
Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.
To know more about valuation methods refer here:
https://brainly.com/question/30478023#
#SPJ11
Find the amount to which $200 will grow under each of these conditions: a. 4% compounded annually for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. 4% compounded semiannually for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ c.4% compounded quarterly for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ d. 4% compounded monthly for 6 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ e. 4% compounded daily for 6 years. Assume 365-days in a year. Do not round intermediate calculations. Round your answer to the nearest cent. $ f. Why does the observed pattern of FVs occur?
To calculate the future value (FV) of $200 under different compounding periods, we can use the formula for compound interest:
FV = P(1 + r/n)^(nt)
where:
FV = Future Value
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of compounding periods per year
t = Number of years
Given:
P = $200
r = 4% = 0.04
t = 6 years
a. Compounded annually:
n = 1
FV = 200(1 + 0.04/1)^(1*6) = $200(1.04)^6 ≈ $251.63
b. Compounded semiannually:
n = 2
FV = 200(1 + 0.04/2)^(2*6) = $200(1.02)^12 ≈ $253.72
c. Compounded quarterly:
n = 4
FV = 200(1 + 0.04/4)^(4*6) = $200(1.01)^24 ≈ $254.92
d. Compounded monthly:
n = 12
FV = 200(1 + 0.04/12)^(12*6) = $200(1.0033)^72 ≈ $255.23
e. Compounded daily:
n = 365
FV = 200(1 + 0.04/365)^(365*6) = $200(1.0001096)^2190 ≈ $255.26
f. The observed pattern of future values (FVs) increasing with more frequent compounding is due to the effect of compounding interest more frequently. As the compounding periods increase (annually, semiannually, quarterly, monthly, daily), the interest is added to the principal more often, allowing for more significant growth over time. This compounding effect leads to slightly higher FVs as the compounding periods become more frequent.
To learn more about investment : brainly.com/question/14921083
#SPJ11
Three polynomials are factored below but some coefficients and constants are missing. all of the missing values of a, b, c and d are integers. 1. x^2 +2x-8=(ax+b)(cx+d) 2. 2x^3+2x^2-24x=2x(ax+b)(cx+d) 3. 6x^2-15x-9=(ax+b)(cx+d) Fill in the table with the missing values of a,b,c and d.
For the first polynomial " \(x^2 +2x-8=(ax+b)(cx+d)\) " a=1,b=-2,c=1, and d=4.
For second polynomial "\(2x^3+2x^2-24x=2x(ax+b)(cx+d)\)" a = 1, b = -3, c = 1, and d = 4.
For the third polynomial" \(6x^2-15x-9=(ax+b)(cx+d)\) " a = 2, b = 1, c = 1, and d = -3.
In the table values of the coefficient for the first polynomial are a=1,b=-2,c=1 so d=?.
\(x^2 +2x-8=(ax+b)(cx+d)\\\\ x^2 +2x-8=acx^2+(ad+bc)x+bd\)
comparing coefficients on both sides
ac=1 ; ad+bc=2 ;bd=8
putting values in ad+bc=2 to get the value of d.
(1)d+(-2)(1)=2
d=2+2
d=4.
depending on the value of coefficients in your table you can calculate the value of the second and third polynomials.
To learn more about polynomials, click on
brainly.com/question/17046173
#SPJ4
1/5 divied by 2 as a fraction
The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.
What is 1/5 divied by 2 ?Given the expression in the question;
1/5 divied by 2
1/5 ÷ 2
To simplify, multiply 1/2 by the reciprocal of 2
1/5 ÷ 2
1/5 × 1/2
Simplify
( 1 × 1 ) / ( 5 × 2 )
( 1 ) / ( 5 × 2 )
Multiply 5 and 2
( 1 ) / ( 10 )
1/10
Therefore, the simplified form is 1/10.
Learn more about fractions heres; https://brainly.com/question/10354322
#SPJ1
Find the coordinates of the point (x, y, z) on the plane z = 1 x + 1 y + 2 which is closest to the origin.
x =
y =
z =
The coordinates of the point closest to the origin are x = -1, y = 0, and z = 1.
To find the coordinates of the point (x, y, z) on the plane z = 1x + 1y + 2 that is closest to the origin, we can minimize the square of the distance from the origin to the point (x, y, z). The square of the distance, D², can be expressed as:
D² = x² + y² + (1x + 1y + 2 - 0)²
Taking partial derivatives with respect to x, y, and z and setting them to zero, we can find the critical points:
∂(D²)/∂x = 2x + 2(1x + 1y + 2)(1) = 0
∂(D²)/∂y = 2y + 2(1x + 1y + 2)(1) = 0
Solving these equations simultaneously:
x + y + 1 = 0
x = -y - 1
Substituting x into the equation for z:
z = 1(-y - 1) + 1y + 2
z = -y - 1 + y + 2
z = 1
So, the coordinates of the point closest to the origin are:
x = -1
y = 0
z = 1
To know more about coordinates visit:
https://brainly.com/question/16634867?
#SPJ11
Solve for x.
−3/4x≥12
Answer:
The answer is x ≥ -1/16.
Step-by-step explanation:
-3/4x ≥ 12
-3/4 × 3x ≥ 12/3
-1/4x ≥ 4
1/4x ≥ -4
1 × 4/4x ≥ -4 × 4
x ≥ -1/16
Thus, The answer is x ≥ -1/16.
-TheUnknownScientist 72
A taco truck is parked at a local lunch site and customers queue up to buy tacos at a rate of one every two minutes. The arrivals of customers are completely independent of one another. It takes 50 ieconds on average to serve a customer (using a single server), with a standard deviation of 20 econds. 1. What is the average time (in seconds) it takes a customer from when they arrive to the truck until they receive their taco. seconds 2. What is the average utilization of the truck? 3. How many people, on average, are waiting in line? people 4. What is the minimum number of servers they would need to get the probability of delay to under 10% ? (Assume all servers have identical service rates.) servers
1. The average time it takes a customer from when they arrive at the truck until they receive their taco is 141.67 seconds.
2. The average utilization of the truck 141.67 seconds.
3. On average, there is 1 person waiting in line.
4. In order to achieve a delay probability of under 10%, a minimum of 1 server is required.
How to calculate the value1 The arrival rate is 1 customer every 2 minutes, which is equivalent to 0.5 customers per minute. The service rate is 1 customer per 50 seconds, which is equivalent to 1.2 customers per minute (since there are 60 seconds in a minute).
2 Average Number of Customers = (0.5 / 1.2) + 1 = 1.4167.
Average Waiting Time = 1.4167 * (50 + 50)
= 141.67 seconds.
3 The average utilization of the truck is given by the formula: Utilization = Arrival Rate / Service Rate.
Utilization = 0.5 / 1.2
= 0.4167 (or 41.67%).
The average number of people waiting in line can be calculated using the formula: Average Number of Customers - Average Utilization.
Average Number of Customers - Average Utilization = 1.4167 - 0.4167
= 1.
4 Given that the desired delay probability is 10% (or 0.1), we can rearrange the formula to solve for the utilization:
Utilization = Delay Probability / (1 + Delay Probability).
=
Utilization = 0.1 / (1 + 0.1) = 0.0909 (or 9.09%).
The utilization we calculated represents the maximum utilization to achieve a delay probability of 10%. In conclusion, to achieve a delay probability of under 10%, a minimum of 1 server is required.
Learn more about average time on
https://brainly.com/question/31955830
#SPJ1
Which issue is least likely arise in machine learning (ml) and artificial intelligence (ai)?
The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).
What is machine learning?
The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.
The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.
To learn more about machine learning.........
https://brainly.com/question/25523571
#SPJ4
Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
More on adding polynomials: https://brainly.com/question/30791478
Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
Learn more about water in: https://brainly.com/question/28465561
#SPJ1
1. four buses carrying 100 students from the same school arrive at a football stadium. the busses carry, respectively, 10, 20, 30, and 40 students. one of the 100 students is randomly selected and let x denote the number of students on the bus carrying the randomly selected student. let y denote the number of students when one of the 4 buses is randomly selected. (a) explain (without any computation) which of e[x] or e[y ] you think is larger? why?
Answer:
2 bus
Step-by-step explanation:
The expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student.
The expected value of a random variable represents the average value of that variable over multiple trials. In this case, x is a random variable representing the number of students on the bus carrying the randomly selected student, and y is a random variable representing the number of students on the randomly selected bus.
The expected value of x can be calculated as follows:
E[x] = (10/100)×10 + (20/100)×20 + (30/100)×30 + (40/100)×40
= 16 + 12 + 9 + 16
= 53/4
= 13.25
This means that, on average, the bus carrying the randomly selected student would have 13.25 students.
The expected value of y can be calculated as follows:
E[y] = (1/4)×10 + (1/4)×20 + (1/4)×30 + (1/4)×40
= 25
This means that, on average, the randomly selected bus would have 25 students.
As expected, the expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student. Since the number of students on the other 3 buses can vary widely, y has a higher expected value than x.
To learn more about expected value here:
brainly.com/question/23509883#
#SPJ11
7. Find the value of x.
Help please??
Answer: which one
Step-by-step explanation:
A forester shows the accompanying histogram of tree diameters he used in analyzing 27 trees in a large woods that was for sale. Was he justified in using a Normal model to analyze the woods? Explain, citing some specific concerns
Choose the correct answer below
A. Yes, because the histogram is unimodal and symmetric.
B. No, because while the histogram is unimodal, it is not symmetric
C. No, because the histogram is not unimodal or symmetric.
D. No, because while the histogram is symmetric, it is not unimodal
Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.
A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.
For more such questions on histogram
https://brainly.com/question/18198700
#SPJ11
Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
What is the quotient of-71.24 ÷ 0.4? (1 point)
O-178.1
O-17.81
O 178.1
0 -1,781
Answer: -178.1
Step-by-step explanation:
-71.24 ÷ 0.4
You have to use the rules for division, meaning that when you are DIVIDING a negative and a positive, it stays a negative. (-) ÷ (+) = (-)
-(71.24 ÷ 0.4)
Then just divide the numbers
Which gives you your answer: -178.1
Answer:
(a) -178.1
Step-by-step explanation:
You want the quotient of -71.24 and 0.4.
SignThere is one minus sign (an odd number) in this quotient, so the result will be negative.
MagnitudeDividing by 0.4 = 2/5 is the same as multiplying by the reciprocal of that: 5/2. That is, the result will be somewhat more than double the value -70. It will not be 17 or 1700. The correct choice of magnitude is 178.1.
When the sign is added to the magnitude, the result is -178.1.
<95141404393>
Morgan has an investment worth $13000 after 20 years if his original investment was for $15000 what must the interest rate have been
Answer:
8%
Step-by-step explanation:
pls mark brainliest
Answer : The interest rate have been 8 %
Step-by-step explanation :
First we have to calculate the simple interest.
As we know that:
Simple interest = Total amount - Principle
Simple interest = $130,000 - $50,000
Simple interest = $80,000
Now we have to calculate the interest rate.
Using simple interest formula:
where,
S.I = simple interest = $80,000
P = principle = $50,000
R = interest rate = ?
T = time = 20 years
Now put all the given values in the above formula, we get:
Therefore, the interest rate have been 8 %
Found answer from Alleei!
What is the difference between permutations and combinations.
Answer:
permutations: order matters
combinations: order doesn't matter
Answer:
A combination doesn't need to be in a specific order, unlike permutation which needs to go in order.
Step-by-step explanation:
can someone help the last problem i am confuse
Answer:
$1.03
Step-by-step explanation:
total cost / 17 burgers
17.51 ÷ 17 = 1.03
PLS HELP ASAP??!! Pls help me with 7,8,8
Answer:
Step-by-step explanation:
1144
what is 13 x 13 x 14 please help I will give you brainliest and 100 points to answer the question.
Answer:
13 × 13 × 14 = 2,366
Step-by-step explanation:
13 x 13 = 169
169 × 14 = 2366
Answer:
\(13 \times 13 \times 14 \\ = {13}^{2} \times 14 \\ = 169 \times 14 \\ = 2366 \\ thank \: you\)
A coin is tossed 3 times. Use a tree diagram to find the number of possible outcomes that could produce exactly 2 heads.