Answer:
Area: 96
Perimeter: 44
Step-by-step explanation:
The area of a parallelogram is the height multiplied by the base, which in this case is 8 and 12, respectively. This means that the area is 96 square centimeters. The perimeter is the sum of all the side lengths, or 10+12+10+12=44 cm. Hope this helps!
Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.
The correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000What is down payment?When something is bought on credit, an initial payment is made in the form of a down payment.
Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.
We can calculate the amount she is putting in down payment as -
{x} = 20% of 125000
{x} = 20/100 x 125000
{x} = 20 x 1250
{x} = 25000
Therefore, the correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000To solve more questions on functions & equations, visit the link-
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ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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solve the inequality-2+4x<14
Answer: x<4
Step-by-step explanation:
If we break this down as
-2+4x<14 and we add 2 to both sides
4x+<16 and divide by 4
and you get x<4
The width of a room is 7 feet, and the area of the room is 77 square feet. Find the room's length.
...
Answer:
11
Step-by-step explanation:
A = lw
l = A/w
l = 77/7
l = 11
Hope that helps
The root of a tulip bulb is a sphere that takes up approximately 62.1 cubic cm of space in a pot filled with soil. If the width of the pot has to be at least the same length as the diameter of the tulip bulb, what is the smallest width the pot can be? Round your answer to the nearest hundredth of a centimeter.
The pot's minimum possible width is 4.98 cm (to ensure that the bulb can fit in the pot).
The volume of a sphere with radius r is given by the formula V = (4/3)πr^3. We can rearrange this formula to solve for r: r = (3V/4π)^(1/3).
In this problem, we know that the volume of the sphere is 62.1 cubic cm, so we can plug this value in for V:
r = (3(62.1)/4π)^(1/3) ≈ 2.49 cm
The diameter of the tulip bulb is twice the radius, so it is approximately 4.98 cm. Therefore, the smallest width the pot can be is also 4.98 cm (to ensure that the bulb can fit in the pot).
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You determine the percent abundance of
each length of nail and record it in the data
table below.
Sample
Type
Short nail
Medium nail
Long nail
Number Abundance
of Nails
(%)
67
18
10
70.5
19.0
10.5
Nail Length
(cm)
2.5
5.0
7.5
What is the weighted average length, in cm,
of a nail from the carpenter's box?
Weighted Ave Length
Enter
The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.
What is weighted average ?
Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.
To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.
Let's start by calculating the product of each nail length and its percent abundance:
Short nail: (2.5 cm) x (70.5%) = 1.7625 cm
Medium nail: (5.0 cm) x (19%) = 0.95 cm
Long nail: (7.5 cm) x (10.5%) = 0.7875 cm
Now, we add up all the products:
1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm
Finally, we divide by the total percent abundance:
70.5% + 19.0% + 10.5% = 100%
Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm
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Find the value of x.
Answer:
x = 10
Step-by-step explanation:
You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.
Angle bisectorThe angle bisector divides the sides of the triangle proportionally;
3x/40 = (x +2)/16
6x = 5x +10 . . . . . . . multiply by 80
x = 10 . . . . . . . . . subtract 5x
The value of x is 10.
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Find the logarithm of this
The value of the given log is = 6.81544722421
WHAT ARE LOGS?A logarithm is a mathematical formula that calculates how many times the base, or initial number, must be multiplied by itself to produce the target number. Examples of geometric progressions that are related to arithmetic progressions in nature and art include the spacing between guitar frets, the hardness of minerals, the intensity of sounds, stars, windstorms, earthquakes, and acids. Even the way that humans naturally think about numbers is described by logarithms.Scottish mathematician John Napier (1550–1617) created logarithms in the 17th century as a tool for computation. He derived the phrase from the Greek words for ratio (logos) and number (arithmos). Logarithms were crucial for streamlining calculations in astronomy, navigation, surveying, and subsequently engineering before mechanical (and later electronic) calculators were created..LEARN MORE ABOUT LOGS HERE:
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Expression represents five less a third of a number?
Answer:
\( \frac {1}{3}x - 5 \)
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
\( \frac {1}{3}x - 5 \)
Or
\( \frac {x}{3} - 5 \)
Simplifying further, we have;
\( \frac {x}{3} = 5 \)
Cross-multiplying, we have;
x = 15
Therefore, the above algebraic expression is five less a third of a number.
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
A five-sided figure with two parallel sides. The shorter one is 16 feet. The height of the figure is 22 feet. The portion from the vertex to the perpendicular height is 8 feet. The portion from a point to a vertical line created by two vertices is 4 feet. Which of the following represents the total area of the figure? 44 ft2 400 ft2 440 ft2
The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.
What do you mean by trapezoid?The five-sided figure is a trapezoid with two parallel sides, so we can use the formula for the area of a trapezoid to find the total area.
Area of a trapezoid = (sum of the lengths of the two parallel sides) / 2 * height
Let's call the length of the longer parallel side "L". Then the height of the figure is 22 feet, and the length of the shorter parallel side is 16 feet.
Area = (L + 16) / 2 * 22
We also know that the portion from the vertex to the perpendicular height is 8 feet, and the portion from a point to a vertical line created by two vertices is 4 feet. These two lengths form a right triangle, so we can use the Pythagorean theorem to find the length of the longer parallel side, L.
L² = (8 + 4)² = 64
L = 8
Now we can use the formula for the area of a trapezoid to find the total area.
Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528
The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.
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PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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The dot plot displays data from 14 random samples, each consisting of 30 middle school students. Each dot represents the mean number of sports played per year by students in the sample.
Which number best represents the mean number of sports played by middle school students? Write your answer as a decimal to the nearest tenth.
__ sports
Part B
Find and interpret the variability in the distribution. Round the MAD to the nearest hundredth.
The MAD is about_____ sport(s). The majority of the sample means are within ______ sport(s) of the mean. This means our estimate is likely not far off from the true mean.
The best representation of the mean number of sports played by middle school students is 2.75 sports and the MAD is about 0.84 sports.
To find the best representation of the mean number of sports played by middle school students, we need to calculate the median of the given data.
The median represents the central tendency of the data and is less affected by extreme values.
Arranging the means of the samples in ascending order, we have:
1, 1, 2, 2.5, 3, 3, 3.5, 4
Since there are eight values, the median will be the average of the fourth and fifth values:
(2.5 + 3) / 2 = 2.75
Variability in the Distribution
Summing up the absolute deviations:
1.75 + 1.75 + 0.75 + 0.25 + 0.25 + 0.25 + 0.75 + 1.25 = 6.75
To find the MAD, we divide the sum of the absolute deviations by the total number of data points:
MAD = 6.75 / 8 = 0.84
Therefore, the MAD is about 0.84 sports.
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A data set contains three points, and two of the residuals are -10 and 20.
What is the third residual?
If a data set contains three points, and two of the residuals are -10 and 20, the third residual is 10 (option B).
What is a residual?A residual is the difference between the observed value and the estimated value of the quantity of interest.
The residual of a data points should normally sum up to zero (0). This means the following applies:
-10 + 20 + x = 0
x = 10
Therefore, if data set contains three points, and two of the residuals are -10 and 20, the third residual is 10.
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-8.11 + 4.52 what is the answer comment and you get 11 points please and thank you!
Sarah negotiated a price of $25,290.00 for a new Toyota Camry Hybrid Sedan. She is prepared to give a down payment of 13%. Her credit union offered her a 4-year amortized loan for the remaining amount at a rate of 1.75%.
How much money will be paid in interest?
How much will the car cost, in total?
Answer: D
Step-by-step explanation:
Please see my question in the attachment, thanks
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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Jill is going to make weekly deposits of $100 into an account for 3 years. The account earns 5.2%/a compounded weekly. How much money will she have in her account at the end of 3 years? How much money did she make on this investment?
Answer:
every week jill is going to make 5.20 dollars then you do 5.20 x 1095 days in 3 years = $5694 a year
Step-by-step explanation:
Which quadratic equation below could be used to represent the following situation?
The Cameron's have a triangular baseball pennant hanging from a flagpole in their yard. The pennant has an area of 50 ft
. The height of the triangle is 20 less than 6 times the length of its base. What equation will describe the area of the pennant?
Check the picture below.
\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=x\\ h=6x-20\\ A=50 \end{cases}\implies 50=\cfrac{1}{2}(x)(6x-20) \\\\\\ 50=\cfrac{6x^2-20x}{2}\implies \boxed{50=3x^2-10x}\)
Every weekday the nursery buys enough milk for 37 children to have 250ml of milk each. An additional two pints per day is bought for the staff.
The milk comes in 4-pint cartons. The price of a carton of milk has increased by 10p.
How much more will the nursery pay for milk each week?
1 litre = 1.76 pints
Answer:
238.5p or 2.385 pounds per week
Answer: Please ignore the other answers.
Step-by-step explanation:
We stopped using half-pennies in the UK over 50 years ago.
I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.
A concerned parent wants to determine the amount of time spent on the phone by her child's friends. Which sample is likely to bias the results of the study by reporting less than the actual time? Group of answer choices
Answer: The answers to the questions by 10 of the friends
Step-by-step explanation:
The options to the question are:
a. The answers to the questions by the parents of 10 of the friends.
b. The results of a national poll of 1800 students in the same age group as the child.
c. The answers to the questions by 10 of the friends.
d. The answers to the questions by 10 people from the parents office.
From the question, we are informed that a concerned parent wants to determine the amount of time spent on the phone by her child's friends. The sample that is likely to bias the results of the study by reporting less than the actual time is the answers to the questions by 10 of the friends.
This is because since the questions are being asked from her friends, there'll be bias as the friends won't want to give the exact time used on phone, hence, they'll hold back some information.
The chi-square test statistic is χ2 = 18.68 and the P-value is between 0.0025 and 0.005. What conclusion should the researcher make? Use α = 0.05.
We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05
Since the p-value is smaller than alpha, this means we reject the null hypothesis.
The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".
Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.
In short, the p-value being smaller than alpha = 0.05 means we reject the null.
In order to accept the null, the p-value must be 0.05 or larger.
In Problems 19 and 20 verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution y = phi (x) in each case. Use a graphing utility to obtain the graph of an explicit solution. Give an interval I of definition of each solution phi. 19. dx/dt = (X - 1)(1 -2X); ln (2x - 1/X - 1) = t 20. 2xy dx + (x2 - y) dy = 0; - 2x2y + y2 = 1
The given equations in Problems 19 and 20 are implicit solutions of the respective first-order differential equations. Explicit solutions for each case are \(y = c(2x - 1)^(1/(x - 1))\) for Problem 19 and \(y = (2x2 + c)^(1/2)\) for Problem 20. The intervals of definition for each solution are I = (-∞, 0) ∪ (1, +∞) for Problem 19 and I = (-∞, +∞) for Problem 20.
19. The given equation is an implicit solution of \(dx/dt = (x - 1)(1 - 2x)\), as the left side of the equation is the derivative of the right side with respect to t. An explicit solution is \(y = c(2x - 1)^(1/(x - 1))\) where c is an arbitrary constant. The interval of definition for this solution is I = (-∞, 0) ∪ (1, +∞).
20. The given equation is an implicit solution of \(2xy dx + (x2 - y) dy = 0\), as the left side of the equation is the differential of the right side with respect to x and y. An explicit solution is \(y = (2x2 + c)^(1/2)\) where c is an arbitrary constant. The interval of definition for this solution is I = (-∞, +∞).
The given equations in Problems 19 and 20 are implicit solutions of the respective first-order differential equations. Explicit solutions for each case are\(y = c(2x - 1)^(1/(x - 1))\) for Problem 19 and \(y = (2x2 + c)^(1/2\)) for Problem 20. The intervals of definition for each solution are I = (-∞, 0) ∪ (1, +∞) for Problem 19 and I = (-∞, +∞) for Problem 20.
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1. What is the equation for the line through the point (1,2) with m = -3/4.
2. What is the equation for the line through 9-2,1) & (3,4)
The equation for the line through the point (1,2) with m = -3/4 is y = -3 / 4 x + 11 /4
The equation for the line through (-2,1) & (3,4) is y = 3 / 5x + 11 / 5
How to find the equation of a line?The equation of a line in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation for the line through the point (1,2) with m = -3/4 is as follows:
y = - 3 / 4 x + b
2 = -3 / 4(1) + b
b = 2 + 3 / 4 = 8 + 3 /4 = 11 / 4
b = 11 / 4
Hence,
y = -3 / 4 x + 11 /4
The equation of the line that passes through (-2, 1)(3, 4)
m = 4 - 1 / 3 + 2 = 3 / 5
Therefore,
1 = 3 / 5 (-2) + b
1 + 6 / 5 = b
b = 1 + 6 / 5 = 5+6 / 5 = 11 / 5
b = 11 / 5
y = 3 / 5x + 11 / 5
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Count Smackula loves to buy new gloves. In fact his castle is full of different pairs of gloves. Of his 5,000 pairs of gloves, 3,375 of them are blood red, for obvious reasons. If you round to the nearest whole number (and you should) what percent of gloves does he own that are NOT red?
Answer:
20%
Step-by-step explanation:
i hope this helps
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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Which equation is equivalent to this equation and written with the same base?
4x+1=16x−1
Answer:
\( 2^{2x + 2} = 2^{4x - 4} \)
Step-by-step explanation:
\( 4^{x + 1} = 16^{x - 1} \)
\( 2^{2(x + 1)} = 2^{4(x - 1)} \)
\( 2^{2x + 2} = 2^{4x - 4} \)
Given f(x)=x−1‾‾‾‾‾√ and g(x)=12x+5, what is the value of (f∘g)(2)?
Enter your answer in the box.
If f(x)= √(x−1) and g(x)=12x+5, then the value of (f∘g)(2) is 2√7.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
To find the value of (f∘g)(2), we first need to evaluate g(2), and then use the result as the input for f.
So,
g(2) = 12(2) + 5 = 24 + 5 = 29
Now, we use the value g(2) = 29 as the input for f:
f(g(2)) = f(29)
Since f(x) = √(x-1), we have:
f(29) = √(29-1) = √28 = 2√7
Therefore, the value of (f∘g)(2) is 2√7.
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0.52 0.25 0.75 0.620 0.062 from smallest to largest
Answer:
0.062; 0.25; 0.52; 0.620; 0.75