Write an equation to show the total length of the bandages if they are placed end-to-end
There is an image attached btw
Answers
The equation that can be written to show the total length of the bandages if they are placed end-to-end is expressed as: 2(5/4) + 6/4 + 3(7/4) + 4(2) + 6(3).
How to Write an Equation for the Total Length?In the image given above that shows a line plot for the set of data representing the length of bandages, we have:
Two 1¼ = 2(5/4)
One 1 2/4 = 6/4
Three 1¾ = 3(7/4)
Four 2 = 4(2)
Six 3 = 6(3)
Thus, the equation that will represent the total length of the bandages can be expressed as:
2(5/4) + 6/4 + 3(7/4) + 4(2) + 6(3)
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Related Questions
1. If RZ = 2x + 5 and TW = 5x - 20, find the value of 'x'. (just write the number no
text) *
Answers
The value of the x is 8.33 under the given condition that RZ is given as 2x + 5 and TW is given as 5x - 20.
From the given question and illustrative diagram we can clearly see that
RZ = 2x + 5
TW = 5x - 20
Now, we have to find the value of 'x' if RZ = 2x + 5 and TW = 5x - 20.
Then, from the given rectangle figure, we can say that RZ is equal to TW.
Hence equating both the equation we can evaluate that the value of x and the equation can be expressed in the forms of
RZ = TW
2x + 5 = 5x - 20
20 + 5 = 5x - 2x
25 = 3x
x = 25/3
x = 8.33
Then, the value of the x is 8.33.
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(4, 6) on a coordinate plane
Answers
Answer:
(4,6) on the coordinate plane is the 1st quadrant. You start at the origin, go 4 to the right and 6 up.
Hope this helped !!
The measurements for a television are 120 cm
wide, 68 cm high, and 14 cm deep. What is the
total surface area of the television?
Answers
The total surface area of the television is 21,584 square centimeters.
To find the total surface area of the television, we need to calculate the area of all six sides and add them up.
The front and back sides have the same dimensions and area, so we can find the area of one and multiply it by two. The same goes for the left and right sides.
The area of the front/back sides is:
120 cm x 68 cm = 8160 sq cm
Multiplying by 2 gives us the total area of both front/back sides:
2 x 8160 sq cm = 16,320 sq cm
The area of the left/right sides is:
68 cm x 14 cm = 952 sq cm
Multiplying by 2 gives us the total area of both left/right sides:
2 x 952 sq cm = 1904 sq cm
The area of the top and bottom sides is:
120 cm x 14 cm = 1680 sq cm
Multiplying by 2 gives us the total area of both top/bottom sides:
2 x 1680 sq cm = 3360 sq cm
Adding up all six sides, we get:
16,320 sq cm + 1904 sq cm + 3360 sq cm = 21,584 sq cm
Therefore, the total surface area of the television is 21,584 square centimeters.
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Please help me on this!
Answers
The correct point which is solution of equation of line is,
⇒ (1, 2)
We have to given that;
Equation of line is,
⇒ 3x - y = 1
Take a point 2,
⇒ (1, 2) = (x, y)
Plug into above equation of line is,
⇒ 3x - y = 1
⇒ 3 x 1 - 2 = 1
⇒ 3 - 2 = 1
⇒ 1 = 1
Thus, The correct point which is solution of equation of line is,
⇒ (1, 2)
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What is the area of EFG
Answers
Answer:
A = 28 units²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = FG = 8 and h = FE = 7 , then
A = [tex]\frac{1}{2}[/tex] × 8 × 7 = 4 × 7 = 28 units²
Mike calculated the net sales for his company using the following figures:
Gross sales = $50,000
Discounts = $1,800
Freight in = $2,750
Sales returns and allowances = $4,380
The net sales of the company are __________.
a. )
$46,570
b. )
$49,830
c. )
$43,820
d. )
$41,070
Answers
To calculate the net sales, we need to subtract the discounts, sales returns and allowances, and freight in from the gross sales.
Therefore, we have:
Net sales = Gross sales - Discounts - Sales returns and allowances - Freight in
Substituting the given values, we get:
Net sales = $50,000 - $1,800 - $4,380 - $2,750 = $41,070
Therefore, the net sales of the company are $41,070. Answer: (d).
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Greta sells advertising space for her school yearbook. Last year, a quarter-page ad cost $110. This year, Greta's teacher asks her to mark down the price by 15% to attract more sponsors. Greta wants to know the price after the markdown.
Answers
The price of the advertisement that originally costs $110 after a 15% markdown is $ 83.5.
Original price = $110
Markdown percent = 15%
Reduce in price = 15% of 110
To calculate this, we divide the percent by 100 and multiply it by the number given. Like in the above case, we divide 15 by 100 to get 0.15 and multiply it by 110.
= 0.15 * 110 = 16.5
Price after markdown = original price - reduction in price
= 110 - 16.5
= $ 83.5
Thus, the price for a quarter-page ad of the school yearbook which used to be $110 has come down to $83.5 after a 15 % markdown to attract more sponsors.
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1. assume that abc company uses a margin of 40% on all items it purchases for resale, so that the firm sells $ x worth of merchandise. the company also incurred selling expenses which it budgeted at 15% of the volume of sales. the company also budgets fixed expenses at $ 600.a. write the equation relating total cost and sales volumeb. what will total cost and net profit before taxes on sales of $ 80,000c. what is the breakeven level of sales volume
Answers
a. The equation is Total Cost = 0.75x + $600
b. Total cost is $60,600 and net profit is $19,400.
c. The breakeven level of sales volume is $2,400.
a. The equation relating total cost and sales volume can be expressed as:
Total Cost = Cost of Goods Sold + Selling Expenses + Fixed Expenses
where Cost of Goods Sold = 60% (100% - 40%) of the sales volume
Selling Expenses = 15% of the sales volume
Fixed Expenses = $600.
Therefore, the equation can be written as:
Total Cost = 0.6x + 0.15x + $600
= 0.75x + $600
b. For sales of $80,000, we can substitute x = $80,000 into the equation:
Total Cost = 0.75x + $600
= 0.75($80,000) + $600
= $60,000 + $600
= $60,600
To calculate net profit before taxes, we need to subtract the total cost from the sales volume:
Net Profit before Taxes = Sales - Total Cost
= $80,000 - $60,600
= $19,400
c. To find the breakeven level of sales volume, we need to set the net profit before taxes to zero and solve for x:
Net Profit before Taxes = Sales - Total Cost
0 = x - (0.6x + 0.15x + $600)
0 = 0.25x - $600
0.25x = $600
x = $2,400
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PLEASE HELP!!!!!!!! The graph shows two lines, A and B. A coordinate plane is shown. Two lines are graphed. Line A has the equation y equals x minus 1. Line B has equation y equals negative 3 x plus 7. Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (4 points) Question 4 options: 1) (1, 2) is the solution to both lines A and B. 2) (−1, 0) is the solution to line A but not to line B. 3) (3, −2) is the solution to line A but not to line B. 4) (2, 1) is the solution to both lines A and B.
Answers
The correct statement regarding the solution to the system of equations is given as follows:
4) (2, 1) is the solution to both lines A and B.
How to solve the system of equations?The system of equations in the context of this problem is defined as follows:
y = x - 1.y = -3x + 7.Replacing the second equation into the first, the value of x is obtained as follows:
-3x + 7 = x - 1
4x = 8
x = 2.
Hence the value of y is given as follows:
y = 2 - 1
y = 1.
Meaning that point (2,1) is a solution to both lines.
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Question 10 Multiple Choice Worth 4 points)
(Diversifying Portfolios MC)
Name of Stock Symbol High Low Close
Stock A
105.19 103.25 103.38
Stock B
145.18 143.28 144.05
A
B
Last year, an investor purchased 115 shares of stock A at $90 per share and 30 shares of stock B at $145 per share. What is the difference in overall loss or gain between selling
at the current day's high price or low price?
The difference in overall gain is $208.10.
The difference in overall loss is $208.10.
The difference in overall gain is $280.10.
P
The difference in overall loss is $280.10.
Answers
The difference in overall gain is $280.10. OPtion C
How to solveWe have to first find the gains for Stock A and Stock B at high and low prices:
Stock A:
High price gain: 115 * ($105.19 - $90) = $1,747.85
Low price gain: 115 * ($103.25 - $90) = $1,523.75
Stock B:
High price gain: 30 * ($145.18 - $145) = $5.40
Low price gain: 30 * ($143.28 - $145) = -$51.60
Calculate total gains:
High price total gain: $1,747.85 + $5.40 = $1,753.25
Low price total gain: $1,523.75 + (-$51.60) = $1,472.15
Difference in overall gain: $1,753.25 - $1,472.15 = $280.10
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Given n with chord AB, which point lies on the perpendicular bisector of AB?
Answers
The Midpoint of AB ((x1 + x2)/2, (y1 + y2)/2) lies on the perpendicular bisector of AB.
Which point lies on the perpendicular bisector of AB?Assuming that chord AB is a straight line segment, the point that lies on the perpendicular bisector of AB is the midpoint of AB. This is because the perpendicular bisector of a line segment is a line that passes through the midpoint of the segment and is perpendicular to it.
Therefore, to find the point that lies on the perpendicular bisector of chord AB, we need to find the midpoint of AB. This can be done by finding the average of the x-coordinates and the average of the y-coordinates of points A and B, respectively.
Let (x1, y1) and (x2, y2) be the coordinates of points A and B, respectively. Then the midpoint of AB is:
((x1 + x2)/2, (y1 + y2)/2)
This point lies on the perpendicular bisector of AB.
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Select the correct answer. What is the sum of the first five terms in this series? 3 + (-9) + 27 + (-81) + . . .
A. 243
B. -9
C. 61
D. 183
Answers
the 5th term is 243, then you combine all the terms and get 183
To meet the company’s sales goals, the sales director for the pet food company decided to provide training for some of the sales representatives in the Midwest and Northeast regions. After conducting a one-month training program, the sales director analyzed the effectiveness of the program by conducting a statistical study.
Question 1
The purpose of the sales director’s study is to determine whether attending the training program caused an increase in sales for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training and those receiving no training) for three months after the one-month program and compared the number of orders secured by those who attended the training program with the number of orders secured by those who didn’t attend.
Part A
Question
Select the correct answer from each drop-down menu.
The sales director conducted _______ because a treatment _____ applied to the sales representatives. This is the best statistical study for this situation because the sales director is trying to establish _______.
1. ) An experiment
An observational
A survey
2. ) was
was not
3. ) causality
correlation
Answers
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Given that abcd is a rhombus, determine the length of each diagonal, ac, and bd if m∠ade=20° and ad = 8cm. please help and show me how you did it
Answers
The length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm
Rhombus is a special type of parallelogram in which all four sides are congruent. The opposite angles of a rhombus are also congruent, and the diagonals bisect each other at right angles.
Now, let's consider the given rhombus abcd, where ad = 8cm and m∠ade=20°. We need to determine the length of diagonals ac and bd.
First, let's use the law of cosines to find the length of side ae. We know that ad = 8cm, and m∠ade=20°, so we can use the formula:
ae² = ad² + de² - 2ad(de)cos(m∠ade)
Substituting the values, we get:
ae² = 8² + de² - 2(8)(de)cos(20°)
Next, we can use the fact that a rhombus has all sides congruent to find the length of side de. Since abcd is a rhombus, we know that ac and bd are also congruent diagonals that bisect each other at right angles. Therefore, we can draw diagonal ac and use the Pythagorean theorem to find the length of ac:
ac² = (ae/2)² + (de/2)²
Substituting ae² from the previous equation, we get:
ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²
Simplifying the equation and using the fact that ac and bd are congruent, we get:
bd² = ac² = (8² + de² - 2(8)(de)cos(20°))/2
Finally, we can use the Pythagorean theorem to find the length of diagonal bd:
bd² = ab² + ad²
Substituting ab = ac/2 and ad = 8cm, we get:
bd² = (ac/2)² + 8²
Substituting ac² from the previous equation, we get:
bd² = ((8² + de² - 2(8)(de)cos(20°))/8)² + 8²
Simplifying the equation, we get:
bd ≈ 12.22 cm
Similarly, we can solve for ac using the equation we derived earlier:
ac² = ((8² + de² - 2(8)(de)cos(20°))/4) + (de/2)²
Substituting de ≈ 9.84cm (which we can solve for from the equation ae² = 8² + de² - 2ad(de)cos(m∠ade)), we get:
ac ≈ 15.58 cm
Therefore, the length of diagonal ac is approximately 15.58 cm, and the length of diagonal bd is approximately 12.22 cm
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A famer planted 154 tomato plants. 46 of the plants died. He replanted the plants in rows, with each row containing 9 plants. Which equation can be used to find p the number of rows the farmer planted
Answers
The equation we can use to find the number of rows the farmer planted is 108 = 9p.
To find the remaining number of plants, we subtract 46 from 154:
154 - 46 = 108 tomato plants
Now, the farmer replants the remaining plants in rows with 9 plants in each row. To find the number of rows (p), we can use the following equation:
108 = 9p
This equation represents the total number of remaining tomato plants (108) being divided into rows with 9 plants each, resulting in the number of rows (p).
Simplifying this equation will give us the value of p, which is:
p = 12
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Three stages at a music festival are arranged in a triangle. The distances between the centers of each stage are given: Stage A and Stage B: 100 yards Stage B and Stage C: 135 yards Stage C and Stage A: 210 yards List the interior angle measures formed at the center of each stage in descending order (largest to smallest). â
Answers
Answer:
BCA
Step-by-step explanation:
The interior angle measures at stages A, B, and C are approximately 71.7 degrees, 133.4 degrees, and 175.0 degrees, respectively. Therefore, the angles in descending order are C, B, and A.
Let's label the stages A, B, and C. To find the interior angles at each stage, we can use the Law of Cosines:
cos(A) = (b^2 + c^2 - a^2) / 2bc
cos(B) = (c^2 + a^2 - b^2) / 2ca
cos(C) = (a^2 + b^2 - c^2) / 2ab
where a, b, and c are the distances between the centers of the stages.
Using the given distances, we have:
a = 100, b = 135, c = 210
cos(A) = (135^2 + 210^2 - 100^2) / (2*135*210) ≈ 0.309
cos(B) = (210^2 + 100^2 - 135^2) / (2*210*100) ≈ -0.692
cos(C) = (100^2 + 135^2 - 210^2) / (2*100*135) ≈ -0.905
To find the interior angles, we can take the inverse cosine (also known as arccosine) of each value:
A ≈ 71.7 degrees
B ≈ 133.4 degrees
C ≈ 175.0 degrees
So the interior angle measures at stages A, B, and C are approximately 71.7 degrees, 133.4 degrees, and 175.0 degrees, respectively. Therefore, the angles in descending order are C, B, and A.
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Which of the following statements is correct about the value of: 13 + √50
A. 13 + √50 is an irrational number
B. 13 + √50 is an integer
C. 13 + √50 is a rational number
D. 13 + √50 is neither a rational or irrational number
Answers
The statement that is correct about the value of: 13 + √50 is A. 13 + √50 is an irrational number
The statement that is correct about the value of: 13 + √50From the question, we have the following parameters that can be used in our computation:
13 + √50
When the above expression is evaluated we have
13 + √50 = 20.0710678119
The above result (20.0710678119) is an irrational number
This is because the number 20.0710678119 cannot be expressed as a ratio of two integers
Hence, the statement that is correct about the value of: 13 + √50 is A. 13 + √50 is an irrational number
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Suppose the area of a square can be represented by the expression 25x^2 + 80x + 64. What is an expression for the length of one side of the square?
Answers
The expression for the length of one side of the square is: 5x + 8.
How to find length of one side of the square?To see why, note that the area of a square is given by side squared, so we can set up an equation:
[tex]side^2 = 25x^2 + 80x + 64[/tex]
Taking the square root of both sides, we get:
[tex]side =[/tex] √ [tex](25x^2 + 80x + 64)[/tex]
Simplifying the square root, we get:
side = √[(5x + 8)(5x + 8)]
And finally, we can take the square root of the perfect square to get:
side = 5x + 8.
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Help me with this assignment please yall lifesavers
Answers
Answer: I think you can easily do this yourself :)
Look up the definition of all the answers, and it'll lead you straight to the answer :D
I remember doing algebra, and it seemed really hard, but once it's all over you'll be like "oooh it makes so much sense looking back on it"
Step-by-step explanation:
Customer: "I prepaid 70% of the total cost of $127. 50 last week. "
Employee: "Okay. The total you still owe is
Answers
The total amount the customer still owe is $38.25. Customer: "I prepaid 70% of the total cost of $127.50 last week."
Employee: "Okay. The total you still owe is $38.25."
Here the customer prepaid 70% of total cost of $127.50 last week and the employee need to replay how much amount the customer still owe is. To find out the total amount the customer still owes after prepaying 70% of the total cost of $127.50,
Calculate the prepaid amount: 70% of $127.50 = 0.7 * 127.50 = $89.25Subtract the prepaid amount from the total cost: $127.50 - $89.25 = $38.25So the total amount the customer still owe is $38.25.
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The equation The equation y=5,520x -1,091 was given for the line of best fit. What does the slope of the line mean in the context of this problem? was given for the line of best fit. What does the slope of the line mean in the context of this problem?
Answers
The slope of the line is 5,520 and it means the price of the diamond increases at a rate of 5,520 per diamond's weight.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided about this situation, it can be modeled by this linear equation:
y = mx + c
y = 5,520x - 1,091
By comparison, we have the following:
Slope, m = 5,520.
y-intercept, c = -1,091.
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Complete Question:
The function described by the equation y =5,520x - 1,091 is a model of the relationship between a diamond's weight and its price. What does the slope of the line mean in the context of this problem?
What is the equation, in slope-intercept form, of the line that passes through
(0, 5) and has a slope of -1? (6 points)
Oy=-x-5
Oy=x+5
Oy=-x+5
Oy=x-5
Answers
Answer:
C) y = - x + 5---------------------------
The given point (0, 5) represents the y-intercept and we have a slope of -1.
It translates as:
m = - 1, b = 5 in the slope-intercept equation of y = mx + bBy substituting we get equation:
y = - x + 5This is option C.
PLEASE HELP WILL MARK BRANLIEST!!!
Answers
The child can make 120 different bracelets using one of each charm. To solve this problem, we need to use a combinatorial approach.
The number of different bracelets that the child can make depends on the number of charms that can be used for each bracelet & the order in which they are arranged. Since each charm can be used only once, we have to choose five charms out of the total of five available charms, which can be done in 5C5 ways.
We can think of this problem as a permutation problem. There are five distinct charms, and we need to choose five of them to make a bracelet. The order in which we choose the charms matters, as each order gives us a different bracelet. Therefore, we need to use the formula for permutations.
The formula for permutations is given by:
nPr = n! / (n-r)!
where n is the total number of objects, and r is the number of objects we want to choose.
For this problem, n = 5 (since there are five distinct charms), and r = 5 (since we want to choose all five charms).
Plugging these values into the formula, we get:
5P5 = 5! / (5-5)! = 5! / 0! = 5 x 4 x 3 x 2 x 1 / 1 = 120
Therefore, the child can make 120 different bracelets.
Alternatively, we can also think of this problem as a multiplication principle problem. There are five distinct charms, & we need to choose one charm out of five for the first position, one charm out of four for the second position, one charm out of three for the third position, one charm out of two for the fourth position, & one charm out of one for the fifth position.
Using the multiplication principle, we can multiply these numbers together to get the total number of different bracelets:
5 x 4 x 3 x 2 x 1 = 120
Therefore, the child can make 120 different bracelets using one of each charm.
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A line shape like a trapezoid has an area of 337. 5ft^2 if the length of the bases are 25 fr and 20 ft then the perpendicular distance between bases would be
Answers
The perpendicular distance between the bases of a trapezoid with an area of 337.5 ft² and base lengths of 25 ft and 20 ft is 15 ft.
Area = (1/2) * (Base1 + Base2) * Height
In this case, the area is 337.5 ft², Base1 is 25 ft, and Base2 is 20 ft. We need to solve for the height, which represents the perpendicular distance between the bases.
Plugging in the known values into the formula:
337.5 = (1/2) * (25 + 20) * Height
Simplifying the expression:
337.5 = (1/2) * (45) * Height
Multiplying both sides of the equation by 2 to get rid of the fraction:
675 = 45 * Height
Dividing both sides by 45 to solve for the height:
Height = 675 / 45
Height = 15 ft
Therefore, the perpendicular distance between the bases of the trapezoid is 15 ft.
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Find f'(-2) for f(x) = ln(5x² + 20x + 1). Round to 3 decimal places, if necessary.
Answers
To find f'(-2), we need to first find the derivative of f(x) using the chain rule.
f'(x) = (1/(5x² + 20x + 1)) * (10x + 20)
Then, we can plug in x = -2 to get f'(-2):
f'(-2) = (1/(5(-2)² + 20(-2) + 1)) * (10(-2) + 20)
f'(-2) = (1/(20 - 40 + 1)) * (-20 + 20)
f'(-2) = 0
Therefore, f'(-2) is equal to 0.
To find f'(-2) for f(x) = ln(5x² + 20x + 1), we first need to find the derivative of f(x) using the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.
1. Let u = 5x² + 20x + 1. Then, f(x) = ln(u).
2. Find the derivative of f(x) with respect to u: f'(x) = d[ln(u)]/du = 1/u.
3. Find the derivative of u with respect to x: du/dx = d(5x² + 20x + 1)/dx = 10x + 20.
4. Apply the chain rule: f'(x) = (1/u) * (du/dx) = (1/(5x² + 20x + 1)) * (10x + 20).
Now, to find f'(-2), simply substitute -2 for x in the derivative:
f'(-2) = (1/(5(-2)² + 20(-2) + 1)) * (10(-2) + 20)
f'(-2) = (1/(20 - 40 + 1)) * (-20 + 20)
f'(-2) = (1/(-19)) * 0
Since any number multiplied by 0 is 0, we have:
f'(-2) = 0.000
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A right rectangular prism has a volume of 6x^3 - 3x^2 - 45x.
a. What are expressions for the length, width, and height?
b. What is the least possible integer value of x for the rectangular solid to exist? Explain
Answers
(a) The expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3).
(b) The least possible integer value of x for the rectangular solid to exist is 4.
a. To express the length, width, and height of the right rectangular prism in terms of x, we can factor the volume expression, 6x³ - 3x² - 45x.
Factoring out the greatest common factor, 3x:
3x(2x² - x - 15)
Now, factor the quadratic expression:
3x(2x² - x - 15)
To factor the quadratic expression further, find two numbers whose product equals the constant term (-15) and whose sum equals the coefficient of the linear term (-1). These two numbers are -5 and 3.
3x(2x + 5)(x - 3)
Thus, the expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3)
b. For the rectangular solid to exist, all dimensions (length, width, and height) must be positive. Let's examine the constraints on x for each dimension:
1. 3x > 0
2. 2x + 5 > 0 → x > -5/2
3. x - 3 > 0 → x > 3
Since x must satisfy all three inequalities, the least possible integer value of x for the rectangular solid to exist is x = 4.
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After Paul and Marlena got married, they decided they wanted to take a
Caribbean cruise to celebrate their ten year anniversary. The cruise will cost them
$5,800. How much should they deposit into an account now that pays 5.3%
interest, compounded daily, in order to have enough for their cruise in ten years?
A. $550.81
B. $2,431.23
C. $2,957.82
D. $3,414.04
PLEASEEE
Answers
Paul and Marlena should deposit approximately $2,431.23 into an account now to have enough for their cruise in ten years.
So, the correct answer is B. $2,431.23.
To calculate the amount Paul and Marlena should deposit into an account now in order to have enough for their cruise in ten years, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^{ (nt)}[/tex]
Where:
A = the future value of the investment/loan, including interest
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times that interest is compounded per year
t = the number of years
In this case, the principal amount (P) is what we need to find.
The future value (A) is given as $5,800.
The interest rate (r) is 5.3% or 0.053 as a decimal.
The interest is compounded daily, so n = 365 (number of days in a year).
Using the formula, we can rearrange it to solve for P:
[tex]P = A / (1 + r/n)^{(nt)[/tex]
Substituting the given values:
[tex]P = 5800 / (1 + 0.053/365)^{(365\times 10)[/tex]
Calculating this expression:
P ≈ 2,431.23
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Luna and ger friend maka sandwiches with 1/3 of a baguette. They sahre the baguette equally
Answers
Luna and her friend Maka decided to make sandwiches using 1/3 of a baguette. To ensure fairness, they agreed to divide the baguette equally between them. They carefully measured the baguette and cut it into two equal parts, ensuring each of them received an equal portion.
Luna and Maka then began assembling their sandwiches. They spread their preferred fillings on their respective portions of the baguette, adding layers of vegetables, meats, and condiments to create delicious sandwiches.
After completing their sandwich preparation, Luna and Maka sat down together to enjoy their culinary creations. They appreciated the taste and quality of their sandwiches, delighted by the shared experience and the equal distribution of the baguette.
As they savored each bite, Luna and Maka cherished their friendship and the simple joy of sharing a meal together. They found contentment in the realization that even the smallest things, like a shared baguette, could strengthen their bond and create lasting memories.
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Suppose you are doing a 5000 piece puzzle. you have already placed 175 pieces. every minute you place 10 more pieces. after 50 minutes, how many pieces will you have placed
Answers
After 50 minutes, you will have placed 675 pieces
Given, you are doing a 5000 piece puzzle. You have already placed 175 pieces, and every minute you place 10 more pieces. After 50 minutes, we need to find how many pieces you will have placed.
We can start by finding the number of pieces you place in 50 minutes.
Every minute, you place 10 more pieces, so in 50 minutes, you will place:
10 x 50 = 500 pieces
Adding the pieces you have already placed, we get:
175 + 500 = 675 pieces
Therefore, after 50 minutes, you will have placed 675 pieces
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Henry's candy jar has the following pleces of candy in it:
3 Snickers
1 Reese's
1 Twix
2 Milky Ways
2 Skittles Packs
Henry will randomly choose one piece of candy,
He will then put it back and randomly choose another piece
of candy. What is the probability that he will
choose a Milky Way and then a Snickers?
Answers
The probability of Henry choosing a Milky Way and then a Snickers is 2/27.
1. First, let's find the total number of candy pieces in Henry's candy jar:
3 Snickers + 1 Reese's + 1 Twix + 2 Milky Ways + 2 Skittles Packs = 9 pieces of candy.
2. Next, we'll calculate the probability of choosing a Milky Way on the first pick:
There are 2 Milky Ways and 9 total pieces of candy, so the probability is 2/9.
3. Since Henry puts the candy back, there are still 9 pieces of candy for the second pick. Now, we'll calculate the probability of choosing a Snickers on the second pick:
There are 3 Snickers and 9 total pieces of candy, so the probability is 3/9 (or 1/3).
4. Finally, we'll multiply the probabilities of each individual event to find the probability of both events occurring together (choosing a Milky Way and then a Snickers):
(2/9) * (1/3) = 2/27
So, the probability of Henry choosing a Milky Way and then a Snickers is 2/27.
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