Answer: \(20x+18y+17z\)
Step-by-step explanation:
\(x+20y-2z+19x-2y+19z\\(x+19x)+(20y-2y)+(-2z+19z)\\20x+18y+17z\)
As you landscape a 4 leaf clover intersection, you will need to buy enough grass seed to cover all 4 circies. Each of the circles has the same diameter: 41 meters. Calculate the total area of all grass seed needed to cover all 4 circles.
SOLUTION
Each of the circles has the same diameter: 41 meters.
If the diameter = 41 meters
Then the Radius =
\(\frac{41}{2}\text{ m}\)Then we need to find the total area of the 4 circles =
\(\begin{gathered} 4\text{ X }\pi r^2 \\ =\text{ 4 X }\frac{22}{7\text{ }}\text{ X }\frac{41}{2}\text{ X}\frac{41}{2} \\ =\text{ }5283\text{ }\frac{1}{7}m^2 \end{gathered}\)CONCLUSION: The total area of all grass seeds needed to cover all 4 circles =
\(5283\text{ }\frac{1}{7}m^2\)
The equation y=195(1.10)x can be used to represent growth in the number of Salad Supreme restaurants since 2005. Which is the most reasonable conclusion based on this information? A. Salad Supreme had 110 restaurants in 2005. B. Salad Supreme is increasing the number of restaurants by 10% each year. C. Salad Supreme is increasing the number of restaurants by 195 each year. D. Salad Supreme is increasing the number of restaurants by 110% each year.
The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B
How to determine the most reasonable conclusionBased on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:
A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.
B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.
C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.
D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.
Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.
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2. Jarrett Webster leased a sports car for $299.50 per month for60 months. He paid a deposit of $250.00, a title fee of $95.00,and a license fee of $220.00. What is the total lease cost? 2. Abdul Muhal leased a sedan for business use as a salespersonThe lease cost $199 per month for 48 months. He paid a depositof $750, a title fee of.$95, and license fee of $135. What is thetotal lease cast?
Jarrett Webster leased a sports car for $299.50 per month for
60 months. He paid a deposit of $250.00, a title fee of $95.00,
and a license fee of $220.00. What is the total lease cost?
we have that
the total lease cost is
299.50(60)+250.00+95.00+220.00=$18,535
answer is
$18,535What is the value of the expression.
20 + 12 ÷ 1/4 x 3
Answer:
164
Step-by-step explanation:
\(20 + 12 \div \frac{1}{4} \times 3 \\ \\ = 20 + 12 \times 4 \times 3 \\ \\ = 20 + 144 \\ \\ = 164\)
The members of a population are numbered 150. Use the table linked below to obtain a simple random sample of size 6 from the population. Start at the two-digit number in line number 00 and column numbers 21-22 and read down the columns. After reaching the bottom of those two columns, move to the bottom of the next two columns, read up those columns, and so on.
Answer:
Number of 2 digit number: 10 to 99, 90 numbers. Hence,P(selecting a 2 digit number) = 1/90 = .
Step-by-step explanation:
algebra 2. pls help:(
c=1/30x^2-2x+1530 what is the minimum cost
The minimum cost is $1500.
What is Vertex form?
The vertex form of a quadratic function is f(x) = a(x – h)² + k, where a, h, and k are constants of the parabola is at (h, k).
Given:
y =1/30 x²-2x+1530
y= 1/30 x² - 2x + 1530
comparing the above equation with y ax²+ bx +c we get
a = 1/30
b = -2
c = 1530
Now, the the x coordinate of the vertex
h = -b/(2a)
h = -(-2)/(2x(1/30))
h = 2/(2/30)
h = (2/1) x (30/2)
h = (2 x 30)/(1 x 2)
h = 60/2
h = 30
So, The x coordinate of the vertex is 30.
Now, we plug in x = 30 to find the y coordinate of the vertex.
y =1/30 x²-2x+1530
y =1/30 (30)²-2(30)+1530
y =1/30 (900)-60+1530
y= 1500
Thus, the minimum cost is $1500
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9x - 10 = 62 i need help plz
Answer:
Step-by-step explanation:
9x - 10 = 62
9x = 72
x = 8
Describe the transformation
Answer:
c
Step-by-step explanation:
What is the area of the given figure?
4 cm
3 cm
Answer:
it is 12 cm squared
Step-by-step explanation:
you do 4 times 3 to get the area
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
12. aj is 10 and the difference is 6, find the numbers. b) A number is greater than another number by 3. If their sum is 33, find the numbers.
The value of the two numbers in b is 15 and 18
How to solve for the numbersTo get the values we would have to set up an equation system
Such that we would have:
the smaller number is given as c
Then the bigger number is given as c + 3
The equation would be
c + c + 3 = 33
then
2c = 33 - 3
2c = 30
From here we would have to divide both sides of the equation by 2
2c / 2 = 30 / 2
c = 15
33 - 15 = 18
Hence the numbers are given as 15 and 18
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3. A farm has 40m of fence. What is the maximum area he can
enclose using 4 straight lengths of fence?
Answer:
160m squared
Step-by-step explanation:
A granite pyramid is 50 feet high and has a square base 30 feet on a side. If granite weighs 180 pounds per cubic foot, what is the weigh in tons of the pyramid?
The weight of the granite pyramid in tons is 1350 tons.
How to find the weight of the pyramid granite in tons?A pyramid is a three-dimensional shape.
The granite pyramid is 50 feet high and has a square base of 30 feet on a side.
Granit weighs 180 pounds per cubic foot.
Therefore, the weight in tons of the pyramid can be calculated as follows;
Hence,
volume of the granite pyramid = 1 / 3 b² h
Therefore,
volume of the granite pyramid = 1 / 3 × 30² × 50
volume of the granite pyramid = 45000 / 3
volume of the granite pyramid = 15000 ft³
Hence,
1 ft³ = 180 pounds
15000 ft³ = ?
weight = 2700000 pounds
1 pounds = 0.0005 tons
2700000 pounds = ?
Therefore,
weight of the pyramid granite in tons = 1350 tons
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How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
HELP URGENT pleasssssseee
Answer:
your question is not clear so how can I help you
Answer:
iyut lang Yan
idol Yan Ang tamang sagot thank me later
Can someone please HELP ME WITH THIS IM STUCK
Answer:
$4240
Step-by-step explanation:
investment = $4000
intrest = $4000×6%
=4000×6÷100
=240
total=$4000+$240
=$4240
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.95 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Sal will pay $84.83 to tile his entryway
Solution:
The image of the question is attached below.
Given each unit length = 1 foot
Tile cost per square feet = $1.95
To find the area, split the floor shape into two shape.
One is trapezoid and the other is parallelogram.
Let's count the grid given.
The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.
The base and height of the parallelogram are 4 ft and 4 ft respectively.
Area of the trapezoid \(=\frac{1}{2}*(\)\(sum\) \(of\) \(parallel\) \(sides)*height\)
\(=\frac{1}{2}*(7+4)*5\)
\(=\frac{1}{2} *11*5\)
Area of the trapezoid = 27.5 sq.ft
Area of the parallelogram = base × height
= 4 ft × 4 ft
Area of the parallelogram = 16 sq. ft
Total area = 27.5 sq. ft + 16 sq. ft
= 43.5 sq. ft
Cost of area per sq. ft = $1.95
Cost of area 43.5 sq. ft = 43.5 × 1.95
= $84.825
= $84.83
Hence Sal will pay $84.83 to tile his entryway.
Solve for h -110=13+3(4h-6)
Answer:
H= -35/4
Decimal form: -8.75
Explanation:
Subtract 13 from both sides. { -110 - 13 =3(4h - 6) }Simplify -110 -13 to -123 { -123 = 3 (4h - 6) }Divide both sides by 3 { -123/3 = 4h - 6 }simplify 123/3 to 41 { -41 = 4h - 6 }add 6 to both sides { -41 +6 = 4h }simplify -41 + 6 to -35 { -35 = 4h }divide both sides by 4 { - 35/4 = h }switch sides { h= - 35/4 }Anyone know how to round 2.5678 round to the nearest half
Answer:
2.5678 to the nearest half is 13,000
Answer: I think it would be 5 1/2 or 5.5 Fraction and decimal
Step-by-step explanation: Hope this helps! :)
The gasoline gauge on a van initially read
1/4 full. When 12 gallons were added to the tank, the gauge read 3/4 full. How many more gallons are needed to fill the tank?
Initially, 1/4 of the tank was filled.
After adding 12 gallons, it was 3/4 full.
Increase in fuel filled portion =
\(\dfrac{3}{4} -\dfrac{1}{4} =\dfrac{3-1}{4} =\dfrac{2}{4}\)
So 2/4 of the tank = 12 gallons
1/4 of tank \(= 12 \div 2 = 6\) gallons
4/4 of tank \(= 6\times4 = 24\) gallons
____________________
Portion remaining to be filled =
\(1-\dfrac{3}{4} =\dfrac{4-3}{4} =\dfrac{1}{4}\)
Fuel needed \(= \dfrac{1}{4} \times 24 = 6\) gallons
So you need 6 more gallons to fill the tank
Tell whether the angles are adjacent or vertical. Then find the value of x.
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?
3 to 4
4 to 3
4 to 7
7 to 4
We know that there are 16 girls. That is the first part of the ratio. Now, it says girls to students, which mean you have to add up the total of girls and boys together. 12+16=28. There are 28 students in total. Now, you have the ratio of 16:28. But, it says simplified...so we need to divide both sides of the ratio by a number. Let's choose 4 because 4 can go both into 16 and 28. 16/4=4. 28/4=7. So, the simplified ratio of girls to students in the classroom is 4:7.
Hope this helped!
two students have examined the scatter plot shown in have created in line best fit for the data. student A believes that the line of best fit for the data is y= -2x + 24, while student B believes that the line of best fit for the data is y = 1.5 + 23
*Determine which student created a better line of best fit given the data in the graph.
Answer:
Step-by-step explanation:
im pretty sure its student a not 100% sure tho
The line of best fit is simply the trending line of a graph
Student A creates a better line of best fit
The linear equations are given as:
\(\mathbf{y = -2x + 24}\)
\(\mathbf{y =1.5x + 23}\)
The given graph shows a negative linear association.
This is so because, as the x-values increases, the y-values decreases.
This in other words means that:
The slope of the graph is negative
A linear graph is represented as:
\(\mathbf{y = mx + c}\)
Where: m represents slope
By comparison
m = -2 and m = 1.5 for the equations of the two students.
Because the slope of the graph is negative, then
m =-2 is correct
Hence, student A creates a better line of best fit
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Ivy received a bank statement reporting the recent changes to her
account. The statement showed an overall increase in the account
balance of $321.58. During the time shown on the statement, Ivy was
paid three times and withdrew a total of $4,488.26 to cover all her bills
and expenses. How much (x) is each of Ivy's paychecks?
The amount of each paycheck after all $4488.26 is withdrawn for all expenses is $1388.89.
When purchases are made, the balance rises; when payments are made, the balance falls. Your credit card balance is affected by purchases, balance transfers, foreign exchange, fees, and interest, among other things.
The increase in Ivy's account balance is $321.58.
Ivy received three payments and took a total withdrawal of $4488.26 to pay all of her bills and obligations.
Let x be the amount in a single Ivy's paycheck.
Ivy was paid three times = 3x
Ivy withdrew $4,488.26 to cover all her bills and expenses.
Therefore,
3x + 321.48 = 4488.26
3x = 4166.68
x = ( 4166.68 / 3 )
x = $1388.89
The amount on Ivy's paycheck is $1388.89.
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What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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Find SU, TU, and ST.
Answer:
SU=6
TU=6
ST=12
Step-by-step explanation:
SU and TU are equal because their hypotenuses are equal (10).
With this knowledge, you know that 2x+2=3x.
Subtracting 2x from both sides shows that x=2, so you can substitute that into the original line segment values in order to get 6 for both SU and TU. Double this to find the value of ST (12).
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting?
Answer:
11hrs babysitting
Step-by-step explanation: