Here, angle MGN = angle NGO
Therefore, 5x-6=11x-42
or, 5x-11x = -42+6
or, -6x = -36
or, x = -36/-6
or, x = 6
The answer is 6.
Answer:
The answer is 6 hope it helps
Step-by-step explanation:
Can someone help really fast with this question
The answer that describes the polygon RSTU is as follows:
QuadrilateralTrapezoidHow to find a quadrilateral?A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape RSTU as follows:
The polygon has 4 sides therefore, it is a quadrilateral.
The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.
A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.
Therefore, the shapes that defines the polygon are as follows:
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you earn $20 per hour doing landscaping work. Your total earnings depend on the amount of hours you spend landscaping.
what is the independent variable.
what is the dependent variable.
write a function to representthe situation.
Answer:
x: $20 an hour independent variable
y: total amount dependent variable
y = $20x
Convert 5000 milligrams into ounces. Round your answer to the nearest hundredth
Answer:
28349.5 ounces
Explanation:
We know that 1 Ounce is equivalent to 28349.5 milligrams, so using this ratio, we get:
\(5000\text{ mg }\times\frac{1\text{ Ounce}}{28349.5\text{ mg}}=0.176\text{ ounces}\)Therefore, 5000 milligrams are equivalent to 0.176 ounces.
10 cm
a =
6.5 cm
a
What is the length of the missing leg? If
necessary, round to the nearest tenth.
centimeters
how much money is 10 quarters 17 dimes 40 nickels and 15 pennies
Answer:
$6.35
Step-by-step explanation:
10 quarters =
10 × .25 = $2.50
17 dimes =
17 × .10 = $1.70
40 nickels =
40 × .05 = $2.00
15 pennies =
15 × .01 = $0.15
2.50+1.70+2.00+.15
= 6.35
The total is $6.35.
The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.
antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5
Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1
Which of the following can be inferred from the data?
A. Antonio runs the race faster than Marco on average.
B. Marco always runs a better time than Antonio.
C. Marco is more likely than Antonio to improve after a poor race.
D. Antonio's average time is about 5.1 seconds,
Step-by-step explanation:
The answer is A
Bcz In a race runs faster whoever does it in less time
Ram Purchased a flat at ₹1. 1 lakh and Prem purchased aplot of land worth ₹ 1. 1 lakh. The respective annual rates at which the prices of the flat and the plot increases were 10% and 5%. After two years they exchanged their belongings and one paid the other the difference. Then who paid to whom by how much?
Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%.Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800. Ram's flat is more valuable than Prem's plot of land
After two years, the value of Ram's flat would be ₹1.1 lakh + (10% of ₹1.1 lakh × 2 years) = ₹1.43 lakh.
Similarly, the value of Prem's plot of land would be ₹1.1 lakh + (5% of ₹1.1 lakh × 2 years) = ₹1.21 lakh.
Therefore, the difference in value between Ram's flat and Prem's plot of land is ₹1.43 lakh - ₹1.21 lakh = ₹22,000.
Ram would have to pay ₹22,000 to Prem as Ram's flat is more valuable than Prem's plot of land.
Ram purchased a flat for ₹1.1 lakh and its price increased at an annual rate of 10%. After two years, the flat's value would be:
1.1 lakh * (1 + 0.1)^2 = 1.1 lakh * 1.21 = ₹1.331 lakh
Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%. After two years, the plot's value would be:
1.1 lakh * (1 + 0.05)^2 = 1.1 lakh * 1.1025 = ₹1.213 lakh
After exchanging their properties, the difference in value is:
₹1.331 lakh (flat) - ₹1.213 lakh (plot) = ₹0.118 lakh
Since Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800.
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an NFL team kicker misses 2 out of every 11 field goals if he missed 8 field goals out of season how many did he attempt
Answer:
The answer is 44 field goals were attempted. The original ratio was 2/11 and in the second ratio they gave you the value of the field goals made which is 8/x.
Step-by-step explanation:
Answer:
8 out of every 44 field goals.
Step-by-step explanation:
2:11, = 4:22, = 6:33, = 8:44.
A traffic study was conducted for a short time on a well-travelled city street. Of the
64 cars observed, 16 were exceeding the limit and 48 were not. Also, 24 of the
drivers has passengers and the rest did not. Twelve of the speeders were driving
alone. Assume that the observed traffic behaves the same as a random sample of alltraffic would.
Use R5 to see if there is a positive correlation between speeding and driving alone.
To determine if there is a positive correlation between speeding and driving alone, we can use the chi-square test of independence. This test is used to assess if there is an association between two categorical variables.
In this case, we have two categorical variables: speeding (exceeding the limit or not) and driving alone (with passengers or without). We will create a contingency table to organize the data:
Driving Alone
| With Passengers | Without Passengers | Total
-----------------|-----------------|--------------------|-------
Speeding | 12 | 4 | 16
Not Speeding | 12 | 36 | 48
-----------------|-----------------|--------------------|-------
Total | 24 | 40 | 64
Using R5, we can perform a chi-square test of independence on this contingency table to determine if there is a significant association between the variables. The test will provide a p-value that indicates the strength of the correlation.
If the p-value is below a predetermined significance level (e.g., 0.05), we can conclude that there is a significant positive correlation between speeding and driving alone. If the p-value is above the significance level, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a correlation.
Please note that the R5 software is not familiar to me as an AI language model, and I am unable to provide real-time access to it. You can use statistical software like R or consult a statistician to perform the chi-square test of independence using the provided contingency table.
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A shipping box has the dimensions shown what is the volume of the box in cubic yards? 1-4 yard 1-4 yard 1-2 yard
The required picture is attached below :
Answer:
1 /32 yard³
Step-by-step explanation:
The volume of box can be obtained using the relation :
V = length * width * height
Length = 1/4 yards
Width = 1/2 yards
Height = 1/4 yards
Hence,
Volume (V) = 1/4 yards * 1/2 yards * 1/4 yards
Volume (V) = (1/4 * 1/2 * 1/4)(yard³)
Volume (V) = 1 / 32 yard³
Find the Probability of pulling a red, then a green, then a blue or orange marble.
Keisha repeats this process three times, so the probability of getting this sequence of draws exactly once is 7/500 option B is correct.
What is a probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 1 denoting that the event is certain and 0 denoting that it is impossible.
The probability of selecting a red marble on the first draw is 25/(75+50+100+25) = 1/10
After replacing the red marble, the probability of selecting a green marble on the second draw is 50/250 = 1/5
After replacing the green marble, the probability of selecting a blue or orange marble on the third draw is (75+100)/250 = 7/10
Therefore, the probability of selecting a red marble, then a green marble, and then a blue or orange marble is (1/10) × (1/5) × (7/10) = 7/500
However, Keisha repeats this process three times, so the probability of getting this sequence of draws exactly once is 7/500
Therefore, the answer is B. 7/500.
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which of the following basic functions is equivalent to the piecewise-defined function f(x)= x if x≥0 −x if x<0 ? question content area bottom part 1 a. f(x)= 1 x b. f(x)=x c. f(x)=x2 d.
The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.
Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.
The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.
In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
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given that the electricity for home use is 5 cents per kilowatt-hour (kwh), how much would it cost to operate 5 fluorescent 40w light bulbs for the months of april and may if they are on for 3 hours/day?
The total cost to operate 5 fluorescent 40w light bulbs for the months of April and May if they are on for 3 hours/day is given as follows:
$1,830.
How to obtain the total cost?The total cost is obtained applying the proportions in the context of the problem.
The number of kilowatt hours is given as follows:
200 kw in total per day, as 5 bulbs of 40 kw -> 40 x 5 = 200 kw.Bulbs are on for 30 + 31 = 61 days.Each day, the bulbs are on for 3 hours.Hence:
200 x 61 x 3 = 36,600 kwh.
The cost is of $0.05 per kwh, hence the total cost is given as follows:
0.05 x 36600 = $1,830.
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Find the area of a circle with radius 6 in. Use the value 3.14 for π, and do not round your answer.
Step-by-step explanation:
Área of a circle is given as
\(\pi \times {r}^{2} \)
Therefore you can substitute the values as follows:
\(3.14 \times {6}^{2} = 113.09733552923\)
Answer not rounded to any decimal place and used of 3.14 as said in the instruction
The area is:
113.04 in²Explanation:
To find the circle's area, use the formula \(\sf{A=\pi r^2}\).
where:
A = area;
π = 3.14 (pi);
r = radius
Diagram:
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 6\ in}\end{picture}\)
Plug in the data:
\(\sf{A=3.14\times6^2}\)
\(\sf{A=3.14\times36}\)
\(\sf{A=113.04\:in^2}\)
what is the slope of a line that passes through the points (6, 1) and (9, 8)? process plsss !!!
If f(x)= (1/9)(9^x), what is f(3)?
Answer:
81
Step-by-step explanation:
f(x) = (1/9) * (9^x)
f(3) = (1/9) * (9^3)
f(3) = (1/9)* (9*9*9)
f(3) = (1/9) * (729)
f(3) = 729/9
f(3) = 81
y= -4/3x - 2
Enter three unique ordered pairs in the form (x,y) that lie on the graph of this equation. Enter your answers separated by a comma.
The ordered pairs that lie on the graph of y = -4/3x - 2, are: (-1.5, 0), (0, -2), and (-6, 6).
What is the Ordered Pair that Lie on a Graph?The ordered pairs that lie on the graph of an equation are values that make the equation true when plugged into it.
Given the equation, y = -4/3x - 2, the graph of the equation would have a slope of -4/3 and a y-intercept at y = -2 on the y-axis.
Thus, the graph of the equation is shown below, which shows the following unique ordered pairs that lie on the line that represents y = -4/3x - 2.
The ordered pairs are: (-1.5, 0), (0, -2), and (-6, 6).
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Write the fiber diameter for the Angora rabbit
Answer:
The mean fibre diameter of angora down fibres is around 12 to 14 m and the fibre length is up to 60 mm. The density of the fibre is 1.14 g/cm3, and hence lighter than wool (density: 1.33 g/cm3). The Angora rabbit hair is considered to be the easiest fibre to identify under microscope than other specialty fibres.
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Imagine that a small company had four shareholders who hole 27%, 24.5%, 24.5% and 24% of the company's stock. Assume that votes are assigned in proportion to shareholding. Also, assume that decisions are made by a strict majority vote. Does the individual with 24% hold any effective power in voting? Why or why not? Explain your answer.
A small company had four shareholders who hole 27%, 24.5%, 24.5% and 24% of the company's stock. The individual with 24% holds less than 50% of the total voting power, their voting influence alone is not sufficient to sway the outcome of a majority vote.
To determine if the individual with 24% holds effective power in voting, we need to compare their shareholding to the combined shareholding of the other shareholders. The combined shareholding of the other three shareholders is 27% + 24.5% + 24.5% = 76%. This exceeds 50% of the total shareholding.
In a strict majority vote, decisions are made by more than 50% of the voting power. In this case, the individual with 24% holds less than 50% of the total voting power.
Therefore, they cannot single-handedly influence the outcome of a majority vote. Their voting power alone is not sufficient to sway decisions.
However, it's important to note that the individual with 24% can still have some influence in coalition with other shareholders if they form an alliance or agreement.
Collective actions or negotiations with other shareholders could potentially affect the decision-making process.
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One calculator is discounted by 30% and now costs $42
another is discounted by 25% and now costs $42 dollars as well
which calculator had the cheaper original price? How much cheaper?
4.Is the triangle a right triangle? Why or why not?
Answer: No because 7^2 + 12^2 doesn’t equal 14^2
Step-by-step explanation:
7^2 + 12^2 equals 193. But 14^2 = 196 so the answer is no.
y
6
8
10
Which function is represented by the graph?
A)
f(x) - 2x + 6
B)
f(x) - - 2x + 6
9
0
f(x) = 2x +6
1x) - 4x +6
D)
Olivia picked 482 apples from the orchard’s largest apple tree. She divided
the apples evenly into 4 baskets. How many apples are in each basket? How
many are left over? pls make the solution detailed! :)
There are 120 apples in each basket and 2 leftovers
How to determine the number of apples in each basket?From the question, the given parameters are:
Number of apples = 482
Number of baskets = 4
the number of apples in each basket is calculated as
Apples in each basket = Number of apples/Number of baskets
Substitute the known values in the above equation
So, we have the following equation
Apples in each basket = 482/4
Evaluate
Apples in each basket = 120.5
Remove the decimal
Apples in each basket = 120
The number of leftoverIn (a), we have
Apples in each basket = 120.5
The decimal part is
Decimal = 0.5
The number of leftover is then calculated as
Leftover = Decimal * Baskets
So, we have
Leftover = 0.5 * 4
Evaluate
Leftover = 2
Hence, there are 2 leftovers
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The Hawks have 112 games which is 60% of the games they have played this year how many games have the Hawks played this season
Answer:
187 games
Step-by-step explanation:
Calculation for how many games have the Hawks played this season
Numbers of games played=112 games/0.60
Numbers of games played=187 games
Therefore the numbers of games that Hawks
have played this season is 187 games
Somebody please help
m∠C = 31
m∠D = 83
M∠E = 66
Hope this is helpful!
A box containing 11 2/5 lbs of goldfish crackers was delivered to the kindhearted classes to be split evenly among 3 teachers. Mrs.Z received another carton with 1.2 lbs crackers from a parent. How many pounds of goldfish crackers does Mrs.Z have?
Answer: 5
Step-by-step explanation:
11 2/5 Divided by 3 is 19/5 (as a fraction) or 3.8
add 3.8 to 1.2.
Hope I could help.
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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Please help and quick the questiion is attached!!! 25 points.
Answer:
last one
Step-by-step explanation:
true or false: the line that intersect the curve at (8, p(8)) represents the secant line to the curve at (8, p(8))
The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point. The statement is true.
A straight line that crosses a curve at two or more points is known as a secant line. The given point (8, p(8)) in this instance is on the curve and the line. As a result, the secant line to the curve at that point is the line that intersects the curve at (8, p(8)).
Let's think of an example to help further clarify this idea. Let's say we wish to locate the secant line to a curve at the point (8, p(8)) where the equation \(y = x^2\) defines the curve.
We must first determine the secant line's slope. The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):
slope= (y2 - y1) / (x2 - x1).
The two points in this case are the curve's second point and (8, p(8)). We can select a different point on the curve, such as (4, p(4)), to get the slope.
slope = (p(4)-p(8)) / (4 - 8)
Next, we evaluate the function at these points:
\(p(4) = 4^2 = 16\\p(8) = 8^2 = 64\)
Substituting these values into the slope formula:
slope = (16 - 64) / (4 - 8)
= -48 / -4
= 12
Now that we have the slope, we can write the equation of the secant line using the point-slope form:
y - y1 = m(x - x1)
Substituting the values (8, p(8)) and slope = 12 into the equation:
y - p(8) = 12(x - 8)
Simplifying the equation:
y - p(8) = 12x - 96
This is the equation of the secant line to the curve at the point (8, p(8)).
In conclusion, the statement is true. The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point.
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I need help on number 1
Answer:
V =960 in ^3
Step-by-step explanation:
V = l*w*h
V = 12*8*10
V =960 in ^3