Draw a figure composed of three different rectangle that has a perimeter of 140 yards use measurements in yards in feet to label this side of your figures.
Answers
To create a figure of three rectangles with a perimeter of 140 yards, you can stack them on top of each other to make a plus sign, and label each side as 11 and 2/3 yards or 11 yards (by subtracting the fractions).
What is rectangle?A rectangle is a four-sided geometric shape that has four right angles (90 degree angles) and opposite sides that are parallel and of equal length. The length of a rectangle is its longer side, while the width is its shorter side.
According to given information:If we draw three rectangles stacked on top of each other like a plus sign, we can divide the perimeter of 140 yards by the number of sides, which is 12. This gives us a length of 11 and 2/3 yards per side.
To use only integers, we can subtract the fractions from each side to another, which gives us a length of 11 yards per side. We can then label each side of the figure with a length of 11 yards.
In the figure, we have three rectangles of equal size, with a length of 11 yards and a width of 35 yards. We can convert the measurements to feet by multiplying by 3, which gives us a length of 33 feet and a width of 105 feet.
Alternatively, if we wanted to use only whole numbers, we could increase the size of each rectangle slightly, so that the total perimeter is a multiple of 12. For example, we could make each rectangle 11.6667 yards by 35 yards, which gives us a total perimeter of 140.0008 yards. We can then divide this by 12 to get a length of 11 and 2/3 yards per side, and label each side with a length of 11 yards.
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Related Questions
what is the approximate probability that the actual proportion requiring aid will exceed that value? (round your answer to four decimal places.)
Answers
The approximate probability that the actual proportion requiring aid will exceed 0.08 is 0.5 (or 50%) rounded to four decimal places.
Given: The number of members in town = 400
The number of members requiring aid = 32
The proportion of members requiring aid = (number of members requiring aid) / (total number of members) = 32 / 400 = 0.08
To find the approximate probability that the actual proportion requiring aid will exceed this value, we need to assume a distribution for the proportion of members requiring aid. Assuming a normal distribution, we can use the Central Limit Theorem to approximate the sampling distribution of the sample proportion.
The standard error of the sample proportion is given by:
SE = √[p(1-p)/n]
where p is the population proportion and n is the sample size.
Substituting the values, we get:
SE = sqrt [(0.08 × 0.92) / 32] = 0.043
To find the probability that the actual proportion requiring aid will exceed 0.08, we can standardize the distribution using the z-score formula:
z = (x - p) / SE
where x is the value of the proportion we are interested in, p is the population proportion, and SE is the standard error of the sample proportion.
Substituting the values, we get:
z = (0.08 - 0.08) / 0.043 = 0
The probability that the actual proportion requiring aid will exceed 0.08 is equal to the probability of observing a z-score greater than 0, which is 0.5 (or 50%).
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The question is -
The towing service in town contracts with the club to come to the aid of up to 32 members in the next 12-month period. What proportion is that of the 400 members in town? .08 What is the approximate probability that the actual proportion requiring aid will exceed that value? (Round your answer to four decimal places.)
What are m∠1 and m∠2?
Two triangles intersect at a single vertex. The left triangle has an interior angle measuring 80 degrees and another interior angle labeled 1. The interior angle of the vertices that intersect are unlabeled on both triangles, but the upper exterior angle measures 115 degrees. The other two interior angles in the right triangle are labeled 85 degrees and 2.
1. m∠1 = 30°, m∠2 = 35°
2. m∠1 = 35°, m∠2 = 30°
3. m∠1 = 65°, m∠2 = 60°
4. m∠1 = 85°, m∠2 = 80°
Answers
We know that m∠1 and m∠2 are positive angles that add up to 17 degrees, so the only possible pair of values is: m∠1 = 35°, m∠2 = 30° that is option 2.
What is triangle?A triangle is a polygon with three sides and three angles. It is a two-dimensional shape with three straight sides that intersect at three vertices. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on the lengths of their sides and the measures of their angles. Some common types of triangles include equilateral triangles, isosceles triangles, scalene triangles, acute triangles, obtuse triangles, and right triangles.
Here,
Using vertically opposite angle, x + x + 115° + 115° = 360°
2x + 230° = 360°
2x + 230° = 360°
2x = 360 - 230
2x = 130
x = 130/2
x = 65°
Then, lets solve for angle 1 using angle sum property:
∠1 + 65° + 80° = 180°
∠1 + 145° = 180°
∠1 = 180° - 145°
∠1 = 35°
Again, lets solve for angle 2 using angle sum property:
∠2 + 65° + 85° = 180°
∠2 + 150° = 180°
∠2 = 180° - 150°
∠2 = 30°
Therefore, the answer is:
m∠1 = 35°, m∠2 = 30° (option 2)
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you flip a coin 12 times. it lands on tails 9 times. what is the experimental probability of landing on heads?
Answers
Answer:
25%
Step-by-step explanation:
U flipped a coin 12 times, it lands on tail 9 times. Now the probability of landing on head = 12-9
= 3
In percentage= 12\3 *100
=25%
Answer:
0.25%
Step-by-step explanation:
Find x and y to these two congruent triangles
Answers
Answer:
the whole is always 180 so take away the x and y and add up the remaining problems and whatever is left after that is your answer.
Step-by-step explanation:
In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, ∠A and ∠B, are corresponding angles.
For the set of parallel lines intersected by a transversal,A = 4x andB = 2(x+14).
Use an equation to represent the corresponding angle relationship betweenA and B.
Use the equation to find the measures ofA andB.
Answers
We can solve this equation by using corresponding angle relationship between A and B , to get A= 56° and B=56°
What is corresponding angle ?
In geometry, when two lines are intersected by a transversal, the angles formed at each intersection point are called the corresponding angles. Corresponding angles are angles that occupy the same relative position at each intersection point where the transversal intersects two parallel lines.
What is equation?
In mathematics, an equation is a statement that shows the equality between two mathematical expressions using an equals sign (=). An equation can contain variables (represented by letters) and constants (fixed values).
In the given question,
The corresponding angle relationship between angle A and angle B can be represented by the equation:
angle A = angle B
Substituting the given values of angle A and B we get
4x = 2(x+14)
4x = 2x + 28
2x = 28
x = 14
Therefore angle A = 4x = 4(14) = 56°
Therefore angle B = 2(x+14) = 2(14+14) = 56°
So both angle A and B have a measure of 56°.
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Find the mean, median, mode, and range of the following list.
35, 16, 28, 4, 62, 15, 48, 22, 16, 28
Mean
Median
Mode
Range
Answers
To find the mean, we add up all the numbers in the list and divide by the total number of numbers:Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10 = 27.4To find the median, we first need to put the numbers in order:4, 15, 16, 16, 22, 28, 28, 35, 48, 62The median is the middle number. In this case, there are 10 numbers, so the middle two are 22 and 28. The median is the average of these two numbers:Median = (22 + 28) / 2 = 25To find the mode, we look for the number that appears most often. In this case, both 16 and 28 appear twice, while all the other numbers appear only once. So the mode is 16 and 28.Mode = 16, 28To find the range, we subtract the smallest number from the largest number:Range = 62 - 4 = 58Therefore, the mean is 27.4, the median is 25, the mode is 16 and 28, and the range is 58.
Answer: the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.
Step-by-step explanation:
To find the mean, we add up all the values and divide by the total number of values:
Mean = (35 + 16 + 28 + 4 + 62 + 15 + 48 + 22 + 16 + 28) / 10
Mean = 254 / 10
Mean = 25.4
So the mean is 25.4.
To find the median, we need to first put the list in numerical order:
4, 15, 16, 16, 22, 28, 28, 35, 48, 62
The median is the middle number in the list, so in this case it is 25, which is between the 5th and 6th numbers in the list.
So the median is 25.
To find the mode, we need to find the number that appears most frequently in the list. In this case, the numbers 16 and 28 each appear twice, which is more than any other number, so both 16 and 28 are modes of the list.
So the mode is 16 and 28.
To find the range, we subtract the smallest value from the largest value:
Range = 62 - 4
Range = 58
So the range is 58.
Therefore, the mean is 25.4, the median is 25, the mode is 16 and 28, and the range is 58.
consider a lake full of three species of fish: walleye, bass and perch. the lake contains 800 walleye, 800 bass and 400 perch what is the probability that you catch two random fish and they are both from the same species?
Answers
The probability that you catch two random fish from the same species is 0.375, or 37.5%.
This is because the total number of fish in the lake is 2,000, so if you catch two random fish there is a 1 in 2,000 chance of catching two of the same species.
To find the probability, take the number of fish of one species (800 walleye, 800 bass, 400 perch) divided by 2,000.
In this case it would be 800 divided by 2,000 which is 0.4. Multiply 0.4 by itself, which is 0.16, then multiply 0.16 by 100 which gives you 0.375, or 37.5%.
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Five interior angles of a hexagon measure 119°, 129°, 104°, 139°, and 95°. What is the measure of the sixth angle?
Answers
Answer:
A
Step-by-step explanation:
Right triangle STD has a longer leg measuring exactly 3√5 cm. The altitude from right angle T to hypotenuse
SD cuts the hypotenuse into two segments where the shorter part is 1 less than the longer part. Find the exact
length of each part of the hypotenuse, SU and UD, the exact length of altitude TU and the exact length of ST.
Answers
Answer:
Let's call the length of the hypotenuse SD as x.
Since the altitude from T to SD divides SD into two parts, let the length of the shorter part be y. Then the length of the longer part is x-y.
Using similar triangles, we have:
TU/TS = ST/TD
Substituting the values we have:
TU/(3√5) = √5/UD
TU = (3/5)UD
Using the Pythagorean theorem in triangle TUS, we have:
TU² + (3√5)² = TS²
(3/5 UD)² + 45 = ST²
9/25 UD² + 45 = ST²
Using the Pythagorean theorem in triangle TUD, we have:
TU² + UD² = TD²
(3/5 UD)² + UD² = x²
9/25 UD² + UD² = x²
34/25 UD² = x²
UD² = (25/34)x²
Substituting the value of UD² in the equation ST² = 9/25 UD² + 45, we get:
ST² = 9/25 (25/34)x² + 45
ST² = 45/34 x² + 45
Since y = x-y-1, we have y = (x-1)/2.
Using the Pythagorean theorem in triangle TUD, we have:
(1/4) (x-1)² + UD² = x²
(1/4) (x² - 2x + 1) + (25/34)x² = x²
(1/4)(x²) + (25/34)x² - (1/2)x + (1/4) = 0
(59/68)x² - (1/2)x + (1/4) = 0
Using the quadratic formula, we get:
x = [1/2 ± √(1/4 - 4(59/68)(1/4))]/(2(59/68))
x = [1/2 ± (3√34)/17]/(59/34)
x = 17/59 ± 6√34/59
Since x is the hypotenuse SD, we have:
UD² = (25/34) x²
UD² = (25/34) [(17/59 ± 6√34/59)²]
UD² = 136/59 ± 204√34/295
Therefore, the exact lengths of the two parts of the hypotenuse are:
SD = x = 17/59 ± 6√34/59
SU = x-y = (x-1)/2 = 8/59 ± 3√34/59
UD = y = (x-1)/2 = 8/59 ± 3√34/59
TU = (3/5) UD = (3/5) [8/59 ± 3√34/59] = 24/295 ± 9√34/295
ST² = 45/34 x² + 45 = 45/34 [(17/59 ± 6√34/59)²] + 45
ST = √[45/34 [(17/59 ± 6√34/59)²] + 45]
PLEASE HELP FAST (giving brainliest)
Answers
First one is 6
second one is 12
third one is -8
hope this helps
Answer:
Step-by-step explanation:
x=6
x=12
x=-8
students test scores in an applied statistics courses are normally distributed with a mean of 70 and standard deviation of 10. what percent of the data falls below 40?
Answers
Percents of student failed in the test is 15.87%
Final grades are distributed normally.
Assuming mean, which is = 70
Provided that the standard deviation is 10,
Standard score or z-score refers to the normal random variable in a standard normal distribution. The following equation can convert each normal random variable X into a z score:
z=(X−μ)/σ
If X is a normal random variable, represents its mean, and represents its standard deviation.
For X=60 Z=(60−70)/10=−1
P(X<60)=P(Z<−1) \s =0.1587
Hence, 15.87% of pupils failed the test.
By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
Mean is equal to (Sum of All Observations/Total Observations).
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a box contains 4 white and 6 red chips. one chip is drawn at random and, without looking at its color, is discarded. a second chip is then drawn and the color is recorded. a. what is the probability that the second chip drawn is red?
Answers
The probability that the second chip drawn is red is 1/3.
The probability of drawing a red chip on the first draw is 6/10, or 3/5. After one chip is discarded, there are 9 chips remaining, 3 of which are red. So the probability of drawing a red chip on the second draw, given that a chip has already been discarded, is 3/9, or 1/3.
Therefore, the probability that the second chip drawn is red is 1/3. This is because the first chip drawn could be either white or red, so there are two possible scenarios. If the first chip drawn is white, there will be 6 red chips and 3 white chips left, so the probability of drawing a red chip on the second draw will be 6/9 or 2/3. If the first chip drawn is red, there will be 5 red chips and 4 white chips left, so the probability of drawing a red chip on the second draw will be 5/9. To get the overall probability of drawing a red chip on the second draw, we need to take the average of these two probabilities, weighted by the probability of the first chip being white or red, respectively.
The probability of the first chip being white is 4/10, or 2/5, and the probability of the first chip being red is 6/10, or 3/5. So the overall probability of drawing a red chip on the second draw is
(2/5) x (2/3) + (3/5) x (5/9) = 4/15 + 1/3 = 3/9 = 1/3.
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What is the volume of the composite figure?
A complex figure comprised of 2 rectangular prisms. Prism A has a length of 2 centimeters, a width of 5 centimeters, and a height of 6 centimeters. Prism B has a length of 8 centimeters, width of 3 centimeters, and height of 6 centimeters.
204 cm3
342 cm3
604 cm3
4,211 cm3
Answers
Answer:
its 204cm3
Step-by-step explanation:
2x5x6=60
8x3x6=144
144+60=204
hope this helps!
what is the measure of angle 1 in degrees?
Answers
Angle 1 is congruent to the 40° angle because they are corresponding angles
What 25% of 140? Question 8 options: 25 35 45 50
Answers
Answer:
35
Step-by-step explanation:
Change the percent to decimal form and of means multiply.
25% of 140
.25 * 140
35
Answer:
35
Step-by-step explanation:
Question 20
After months of negotiations, Jabu's annual salary was increased by 6. 35% to R330 000. Determine his
previous monthly salary and the monthly increase he will be getting.
Original salary of R20 955. 00, with an increase of R6 545. 00 per month.
[2] Original salary of R25 858. 02, with an increase of R1 641. 98 per month
(3) Original salary of R27500. 00, with an increase of R1 746. 25
per
month.
14] Original salary of R25 858. 02, with an increase of R1 746. 25 per month.
Answers
Jabu's Monthly salary is of R27500.00, with an increase of R1 746.25 per month. Jabu's monthly increase is R1 746.25. The correct answer is option 3.
To find Jabu's previous monthly salary, we can use the formula:
Previous monthly salary = (Annual salary / 12)
Since Jabu's new annual salary is R330 000, his previous annual salary would be:
Previous annual salary = (New annual salary / 1.0635) = (R330 000 / 1.0635) = R310 020.10
Therefore, Jabu's previous monthly salary would be:
Previous monthly salary = (Previous annual salary / 12) = (R310 020.10 / 12) = R25 835.01
To find the monthly increase, we can subtract Jabu's previous monthly salary from his new monthly salary:
Monthly increase = (New monthly salary - Previous monthly salary) = (R27 618.38 - R25 835.01) = R1 783.37
Therefore, Jabu's monthly increase is R1 746.25 (rounded to the nearest cent).
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4. From the train station, a train travels to the city center at a constant speed of 35 miles per hour.
Mrs. Kondo is going to the city center but misses the train. She leaves the train station of an
hour later in a taxi. The taxi travels at a constant speed of 50 miles per hour.
The train and Mrs. Kondo's taxi arrive at the city center at the same time. How long did it take
the train to travel from the train station to the city center?
Answers
Answer: the train got a head start
Step-by-step explanation:
the train got a head start
aldo has scored 77, 88, 77, 87, and 63 on his previous five tests. what score does he need on his next test so that his average (mean) is 79?
Answers
To maintain an average of 79, Aldo must obtain a score of 82 in his upcoming exam.
To get the solution, let's calculate the total of the first five scores.
Total of the first five scores = 77 + 88 + 77 + 87 + 63 = 392
Now we know that there are a total of six scores, so to get the mean, we will divide the total by six.
Mean = Total/Number of ScoresTherefore, 79 = 392 + x/6
We need to find the value of x that will satisfy the above equation.
Now we will solve for x.79 = 392 + x/6
(Multiply both sides by 6) 6 * 79 = 6 * 392 + x6 * 79 = 2352 + xx = 6 * 79 - 392x = 474 - 392x = 82
Therefore, Aldo needs to score 82 on his next test to achieve an average of 79.
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coupling tetraalkylammonium and ethylene glycol ether side chain to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery
Answers
Coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. The side chains of the tetraalkylammonium are modified with the ethylene glycol ether, which is a highly polar solvent, allowing for better solubility in nonaqueous electrolyte solutions. Additionally, the ethylene glycol ether has the ability to modify the stability of the ionic species, preventing aggregation and ensuring the longevity of the battery. This increases the redox capacity and enhances the performance of the flow battery.
The ethylene glycol ether-tetraalkylammonium coupling has been proven to be an effective method for improving the solubility and stability of anthraquinone-based ionic species. For example, it has been observed that the coupling of ethylene glycol ether to anthraquinone-based ionic species enhanced the current density of the battery by more than 3 times. Furthermore, the coupling process has also been found to improve the energy efficiency and storage capacity of the nonaqueous redox flow battery.
Overall, coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method for enabling highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. This process has been proven to improve the performance of the battery, including current density, energy efficiency, and storage capacity.
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Geometry, and Slope. Worth 15 Points
Please Explain
Answers
The equation of the line perpendicular to the line QR in slope intercept is y= [tex]\frac{1}{2}x+\frac{7}{2}[/tex].
Given,
x+2y=2
y = 1 - [tex]\frac{x}{2}[/tex]
Slope = -1/2 = [tex]m_{1}[/tex]
Let Slope of line perpendicular to line x+2y=2 is [tex]m_{2}[/tex]
⇒ [tex]m_{1}[/tex] * [tex]m_{2}[/tex] = -1
Then [tex]m_{2}[/tex] = 1/2
Equation of line perpendicular is given by
[tex]y = \frac{1}{2}x + c[/tex]
Since it contains point (5,6)
6 = [tex]\frac{1}{2} (5) + c[/tex]
c= [tex]\frac{7}{2}[/tex]
Then the equation of line is:
[tex]y = \frac{1}{2}x+ \frac{7}{2}[/tex].
Therefore, the equation of the line perpendicular to the line QR in slope intercept is y= [tex]\frac{1}{2}x+\frac{7}{2}[/tex].
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true or falsea linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data
Answers
In the following question, A linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data is said to be True.
What is a linear system? In mathematics, a linear system refers to a system of linear equations that can be expressed in matrix form as Ax = b. A is a matrix, x is a vector, and b is a constant vector. When working with linear systems, we must keep track of the numerical accuracy of the computations. When a small change in the matrix or constant vector produces a large change in the solution, the matrix is said to be ill-conditioned.
The mathematical concept of condition numbers measures the sensitivity of a matrix to changes in the problem data. If a matrix has a high condition number, it is said to be ill-conditioned, whereas if it has a low condition number, it is said to be well-conditioned. An ill-conditioned matrix is difficult to solve numerically because a small error in the input data can produce a large error in the computed solution.
Therefore, the statement that "a linear system is ill-conditioned if its solution is highly sensitive to small changes in the problem data" is correct, and it is true.
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On a certain hot summer's day, 247 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $401.50. How many children and how many adults swam at the public pool that day?
Answers
200 kids 50 adults?
answer may vary
Identify the two choices that best completes the statement below.
What is the sum of the first 10 terms of the series 1 + 2 + 4 + 8...?
Answers
The sum of the first 10 terms of the geometric progression that is given in the question is 1023.
What is geometric progression ?
Geometric progression, also known as geometric sequence, is a sequence of numbers in which each term after the first is obtained by multiplying the preceding term by a fixed constant. This fixed constant is called the common ratio.
The given series is a geometric progression, where each term is obtained by multiplying the preceding term by 2. The first term is 1, and the common ratio is 2.
The sum of the first n terms of a geometric progression is given by the formula:
[tex]S_n = a(1 - r^n) / (1 - r)[/tex]
where a is the first term, r is the common ratio, and n is the number of terms.
Using this formula, we can find the sum of the first 10 terms of the given series as:
[tex]S_{10} = 1(1 - 2^{10}) / (1 - 2)[/tex]
[tex]= 1(1 - 1024) / (-1)[/tex]
[tex]= 1023[/tex]
Therefore, the sum of the first 10 terms of the series 1 + 2 + 4 + 8... is 1023.
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A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 180x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions. Graph of function p of x equals negative 6 x squared plus 180 x plus 1,000. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (15, 2350), and decreases through about (35, 0). Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points) Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points) Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Answers
The approximate value of the maximum of the function is 2350. In terms of the problem scenario this means that the company will make a maximum daily profit of $2350.
Part A:
The y-intercept is the point where the graph intersects the y-axis, which is when x = 0. Therefore, we can find the y-intercept by substituting x = 0 into the equation:
P(0) = -[tex]6(0)^2[/tex] + 180(0) + 1000
P(0) = 1000
The approximate value of the y-intercept is 1000. In terms of the problem scenario, this means that when the company doesn't increase the price of the solar panels (x = 0), the daily profit is $1000.
Part B:
The x-intercept is the point where the graph intersects the x-axis, which is when P(x) = 0. Therefore, we can find the x-intercept by solving the equation:
-[tex]6x^2[/tex] + 180x + 1000 = 0
We can use the quadratic formula to solve for x:
x = (
where a = -6, b = 180, and c = 1000
x = (-180 ± sqrt([tex]180^2[/tex] - 4(-6)(1000))) / 2(-6)
x = (-180 ± sqrt(32400 + 24000)) / (-12)
x = (-180 ± sqrt(56400)) / (-12)
x ≈ 4.4 or x ≈ 29.4
The approximate value of the x-intercept is 4.4 (or 29.4). In terms of the problem scenario, this means that the company would need to increase the price of the solar panels by approximately $22 (or $147) in order to break even and not make a profit or loss for the day.
Part C:
The maximum of the function occurs at the vertex of the parabola, which is given by the formula:
x = -b / 2a
In this case, a = -6 and b = 180, so:
x = -180 / 2(-6) = 15
To find the maximum profit, we can substitute x = 15 into the equation:
P(15) = -[tex]6(15)^2[/tex] + 180(15) + 1000
P(15) = 2350
The approximate value of the maximum of the function is 2350. In terms of the problem scenario, this means that the company will make a maximum daily profit of $2350 when they increase the price of the solar panels by $75 (i.e., 15 increments of $5).
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In a car park,
the number of cars: the number of vans = 7:4
the number of vans: the number of lorries = 3:2
The total number of cars, vans and lorries in the car park is 205
How many vans are in the car park?
Answers
Therefore , the solution of the given problem of unitary method comes out to be the parking lot has 60 trucks.
What is an unitary method?It is possible to accomplish the objective by using this widespread convenience, pre-existing variables, or all significant components from the initial Diocesan adaptable survey that adhered to a specific methodology. If it doesn't, both of the essential components of a term confirmation outcome will undoubtedly be lost, but if it is, there is going to be another opportunity to contact the entity.
Here,
Let's begin by giving the unknowns variables:
x = number of vehicles
Van count = 4 times
Since there are 205 cars overall, the number of lorries is equal to (205 - 11x).
The value of x can be determined using the second bit of knowledge:
=> 4x/3 = (205 - 11x)/2
When we simplify this solution, we obtain:
=> 8x = 3(205 - 11x)
=> 8x = 615 - 33x
=> 41x = 615
=> x = 15
We can now determine the quantity of vans:
Van count = 4x = 4(15) = 60
Consequently, the parking lot has 60 trucks.
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in a baseball league of 10 teams, how many games are needed to complete the schedule if each team plays 11 games with each other?
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the price of firewood 4 years ago was $140 per cord. today, a cord of wood costs $182. what has been the annual rate of increase in the cost to the nearest tenth of a percent?
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Using the formula for compound interest we find that the annual rate of increase in the cost of firewood is approximately 7.8%.
We can use the formula for compound interest to calculate the annual rate of increase:
A = P(1 + r)^n
where A is the final price, P is the initial price, r is the annual rate of increase, and n is the number of years.
We know that P = $140, A = $182, and n = 4, so we can solve for r:
182 = 140(1 + r)^4
(1 + r)^4 = 1.3
1 + r = 1.3^(1/4)
r ≈ 0.0777
The annual rate of increase is approximately 0.0777 or 7.8% to the nearest tenth of a percent.
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100 points!!!
Which choices are equivalent to the quotient below? Check all that apply. √50/√10
A.√25/√5
B.√15/√3
C.√5
D.15/3
E.√3
F.5
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To simplify the quotient √50/√10, we need to factor out the largest perfect square that divides each radicand. In this case, we can factor out 25 from both 50 and 10 to get:
√50/√10 = √(252) / √(252) = √25 * √2 / √25 * √2 = √2
Therefore, the simplified form of the quotient is √2. Among the given choices, options B and E are equivalent to √2, as √15/√3 can be simplified as √(35)/√3 = √5 * √3 / √3 * √3 = √5/√3, and √3 is the same as √(31) and there is no √2 term in the denominator to combine with it. Hence, the options B and E are equivalent to the quotient √50/√10.
This histogram shows the number of people who volunteered for community service and the number of hours they worked.
How many volunteers worked no more than 10 hours?
A 30 volunteers
B 35 volunteers
C 55 volunteers
D 60 volunteers
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Solve Systems of Equations
Y= 1/2x
3y= x-1
