Answer:
DB
It's the only line that is not a segment.
Step-by-step explanation:
Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $118,500 for Social Security and 1.45% for Medicare. Before this payroll, Richard is $1,000 below the maximum level for Social Security earnings. Richard is married, is paid weekly, and claims 2 exemptions. What is Richard’s net pay for the week if he earns $1,700?
Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.
First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.
Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.
To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.
Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.
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Line segment ON is perpendicular to line segment ML. Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 13 and the length of P N is 8. Angle O P L is a right angle.
What is the length of chord ML?
A. 20 units
B. 24 units
C. 26 units
D. 30 units
It is B.
Answer: 24 units
Step-by-step explanation:
From the question:
MO, NO and LO are radii.
If MO = 13, THEN LO = NO = 13
IF NO = 13 and NP = 8, THEREFORE,
PO = NO - NP
PO = 13 - 8 = 5
USING PYTHAGORAS, WE CAN FIND MP:
MP = Sqrt(MO^2 - PO^2)
MP = sqrt(13^2 - 5^2)
MP = sqrt(169 - 25)
MP = sqrt(144)
MP = 12 units
P is the midpoint of Segment ML,
THEREFORE,
MP = PL
ML = MP + PL
ML = 12 + 12
ML = 24 units
Answer:
b.) 24 units
Step-by-step explanation:
correct on edg.
Part A
Write - 1/33 as a decimal.
Answer:
0.030303...
Step-by-step explanation:
i put the dots because this is a repeating decimal
Answer:
0.03030303030303.
What is the area of a circle with a radius of 10 inches? use 3. 14 for pi. 31. 4 in² 62. 8 in² 314 in² 628 in².
Work Shown:
A = pi*r^2
A = 3.14 * 10^2
A = 3.14 * 100
A = 314 square inches
This value is approximate since pi = 3.14 is approximate.
The area of the circle is :
↬ 314 in²Work:
To calculate the circle's area, I will use the formula
\(\sf{C=\pi r^2}\)
whereC = circumferenceπ = 3.14r = radius (10 inches)Diagram:
\(\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 10\ inches}\end{picture}\)
Plug in the values :
\(\begin{gathered}\sf{A=3.14\times10^2}\\\\\sf{A=3.14\times100}\\\\\boxed{\boxed{\bf{A=314\:in^2}}}\end{gathered}\)
Hence, the circle's area is 314 in².If EG = 10 and EF = 4, then
FG = [?]
E
F
G
Answer:
Step-by-step explanation:
It's 6
anyone who gets this right will get a follow on any platform and marked brainliest!
Answer:
1.24
2. 22.25
3. 13
4. 31
5. 56
6. 37
7. 225.75
8. 516.25
9. 826.5
Hope i helped let me know :) also there is a bit of decimals
Answer:
1) 24
2) 22.25
3) 13
4) 31
5) 56
6) 37
7) 225.75
8) 516.25
9) 826.5
1) around 10.65
2) around 14.37
3) around 72.78
4) around 37.36
5) around 93.45
6) around 128.58
I hope this is correct and please mark me as brainliest if it is!
At a football stadium, 10% of the fans in attendance were teenagers. If there were 250 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
2500 people
Step-by-step explanation:
There are several ways of figuring this one out, we could do a proportion
\( \frac{10\%}{100\%} = \frac{250}{x} \)
Cross multiply and divide
10x = (250)(100)
10x = 25000
Dividing both by 10
x = 2,500 people were at the stadium
Answer:
2500
Step-by-step explanation:
mass of water vapor (g) / volume of air (m^3)
is the humidity measure of....
-the mixing ratio.
-relative humidity.
-vapor pressure.
-absolute humidity.
Mass of water vapor (g) / volume of air (m^3) is the humidity measure of absolute humidity
The humidity measure of "mass of water vapor (g) / volume of air (m^3)" is called absolute humidity. Absolute humidity is a measure of the total amount of moisture in the air, expressed as the mass of water vapor per unit volume of air. It is different from relative humidity, which is a measure of the amount of moisture in the air relative to the maximum amount of moisture that the air can hold at a particular temperature.
Mixing ratio is also a measure of the amount of moisture in the air, but it is expressed as the mass of water vapor per mass of dry air, not per unit volume of air. Vapor pressure is a measure of the pressure exerted by water vapor in the air, expressed in units of pressure (such as millibars or pascals), not as a ratio.
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in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
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When the sample of participants is reflective of the characteristics of the population, it is said to be?
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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A television station shows commercials for 7 1/2 minutes each hour how many 45 second commercials can it show per hour
the television station can show 10 45-second commercials per hour.
convert hour into minuteTo convert hours into minutes, you simply multiply the number of hours by 60, since there are 60 minutes in an hour.
So, if you want to convert 3 hours into minutes, you would do:
3 hours x 60 minutes/hour = 180 minutes
Therefore, 3 hours is equivalent to 180 minutes.
There are 60 minutes in an hour, and 7 1/2 minutes is equal to 7.5 minutes.
So, the television station shows commercials for 7.5 minutes per hour.
We can convert 45 seconds to minutes by dividing it by 60:
45 seconds ÷ 60 = 0.75 minutes
To find out how many 45-second commercials the television station can show per hour, we can divide the total number of minutes of commercials by the length of each commercial:
7.5 minutes ÷ 0.75 minutes/commercial = 10 commercials
Therefore, the television station can show 10 45-second commercials per hour.
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How do you do modeling addition and subtraction of mixed numbers?
To add or subtract mixed numbers, first add or subtract the integer (whole number) portions of the mixed numbers, then add or subtract the fractional portions of the mixed numbers. Reduce the fractional portion of the answer to its lowest terms and combine it with the integer portion of the answer to get the final answer.
1. To add mixed numbers, first add the integer (whole number) portions of the two mixed numbers together. The result is the integer portion of your answer.
2. Next, add the fractional portions of the two mixed numbers together. If the fractional parts of the two mixed numbers have different denominators, you'll need to convert them to have the same denominator.
3. Reduce the fractional portion of your answer to its lowest terms. This is the fractional portion of your answer.
4. Combine the integer portion of your answer with the fractional portion of your answer to get the final answer.
5. To subtract mixed numbers, first convert the fractional portion of the subtrahend (the number being subtracted) to an equivalent fraction with the same denominator as the minuend (the number being subtracted from).
6. Subtract the integer portions of the two mixed numbers. The result is the integer portion of your answer.
7. Subtract the fractional portions of the two mixed numbers. Reduce the fractional portion of your answer to its lowest terms. This is the fractional portion of your answer.
8. Combine the integer portion of your answer with the fractional portion of your answer to get the final answer.
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Combine the like terms to create an equivalent expression.
4t-t+2
Answer:
3t+2
Step-by-step explanation:
khan said so
Are these 2 expressions equivalent? Prove it! 3r + 6 + r - 2 and 3r + 4
The expressions 3r + 6 + r - 2 and 3r + 4 are not equivalent expressions
Equivalent expressions:Equivalent expressions are two or more algebraic expressions that have the same value for any given value of the variables within them.
In general, two expressions are equivalent if they can be transformed into each other by applying the rules of algebra, such as the distributive property, combining like terms, and simplifying fractions.
Here we have
There are 2 expression
3r + 6 + r - 2 ---- (1)
3r + 4 ---- (2)
Expression (1) can be rewritten as follows
3r + 6 + r - 2 = 4r + 4
Here, 3r + 4 ≠ 4r + 4
Hence,
The expressions 3r + 6 + r - 2 and 3r + 4 are not equivalent expressions
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WILL GIVE BRAINLIEST
It's b because
both are at 325 distance, and since liza moves at a faster speed, she will pass by ralph in 5 hours
Answer:
B
Step-by-step explanation:
Solving the system, x = 5 and y = 325
A motorboat travels kilometers in hours going upstream. It travels kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current
This tells us that the rate of the current is zero, which means the boat is traveling on a still lake or river with no current. In this case, the boat's rate in still water is equal to its speed both upstream and downstream.
Let's denote the rate of the boat in still water as "b" and the rate of the current as "c".
When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current, so its speed is "b - c".
When the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current, so its speed is "b + c".
We know that the boat travels a distance of "d" kilometers upstream in "t" hours, so:
d = (b - c) × t
Similarly, the boat travels a distance of "d" kilometers downstream in the same amount of time, so:
d = (b + c) × t
We can solve these two equations simultaneously to find "b" and "c". One way to do this is to solve one equation for "t" and substitute into the other equation, like this:
d / (b - c) = t
Substituting into the second equation:
d = (b + c) × (d / (b - c))
Simplifying:
b - c = b + c
2c = 0
c = 0
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Find the solution set for the following system graphically:
2\3x+4 = y and y < 4x
Therefore, the solution set for the system is the point (1.8, 5.2).
What is graph?A graph is a collection of points, called vertices (or nodes), and a set of connecting lines, called edges, that connect pairs of vertices. Graphs are often used to represent relationships between objects, such as roads between cities, social connections between people, or links between web pages.
Graphs can be classified based on their properties, such as whether they are directed or undirected, whether they have loops (edges that connect a vertex to itself), or whether they are connected (all vertices can be reached from any other vertex).
by the question.
To solve this system of equations graphically, we need to plot the lines represented by each equation on a coordinate plane and find their intersection point (if it exists).
First, let's rearrange the first equation to solve for y:
\(y = (2/3)x + 4\)
Now, we can plot this line by finding two points on it. For example, when x = 0, y = 4, and when x = 3, y = 6. We can then connect these points with a straight line.
\(y < 4x\). This is an inequality, so we'll shade the region below the line y = 4x. To plot the line itself, we can again find two points on it. When x = 0, y = 0, and when x = 1, y = 4. Connecting these points.
we need to shade the region below this line, since y is less than 4x. This region includes all points on the coordinate plane that satisfy y < 4x. We can shade it by drawing a dotted line along the line y = 4x and shading the region below.
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Can someone pls help me with this I would really appreciate it. I’ll give brainliest
Answer:
6
Step-by-step explanation:
7x + 10 = 9x - 2
7x - 9x = -2 - 10
-2x = -12
-2x/-2 = -12/-2
x = 6
A parabola can be drawn given a focus of (8,10) and a directrix of y=6. write the equation of the parabola in any form
pls help its due in 5 min
The equation of the parabola is h²-16h+8k+32=0 when parabola can be drawn with a focus of (8,10) and a directrix of y=6.
Given that,
A parabola can be drawn with a focus of (8,10) and a directrix of y=6.
We have to find the equation of the parabola in any form.
We know that,
The distance of any point P is (h,k) on a parabola form a focus is equal to its perpendicular distance from the directrix.
So,
√((h-8)²+(k-2)²) = | (k-6)/√0²+1² |
Squaring on both sides
(h-8)²+(k-2)² = (k-6)²
From th formula (a-b)² = a²-2ab+b²
We get,
h²-16h+64+k²-4k+4 = k²-12k+36
h²-16h+64+k²-4k+4 - k²+12k-36 =0
h²-16h+64-4k+4+12k-36=0
h²-16h+8k+32=0
Therefore, The equation of the parabola is h²-16h+8k+32=0 when parabola can be drawn with a focus of (8,10) and a directrix of y=6.
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The ponderal indexis a measure of the "leanness" of a person. A person who is h inches tall and weighs w pounds has a ponderal index I given by I = a. Compule the ponderal index for a person who is 76 inches tall and weighs 192 pounds: Round to the nearest hundredth. b. What is a man's weight if he is 77 inches tall and has a ponderal index of 11.56 ? Round to the nearest whole number. a. The ponderal index for a person who is 76 inches tall and weighs 192 pounds is (Round to the nearest hundredth as needed.)
The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.
To compute the ponderal index, we need the formula and the value of the constant "a."
a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.
b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.
To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.
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1. Regression Analysis. Hybrid offspring of parents of different species are often sterile. How different must the parent species be, genetically, to produce this effect? The accompanying table (Moyle et al., 2004) lists the proportion of pollen grains that are sterile in hybrid offspring of crosses between pairs of species of Silene (bladder campions). Also listed is the genetic difference between the pair of species, as measured by DNA sequence divergence. Assume that different species pairs are independent. Use the data set titled "Silene" in the "Part 2" assignment of the "Final Exam" folder on Blackboard. Write the appropriate null and alternative hypotheses. Run the test on Excel or SPSS. Show the appropriate table and/or graph you produce (including those used to test violations). Give a results sentence based on the results of your analysis, including (but not necessarily limited to) the relevant statistics and evaluation of the null hypothesis. Give your results as a caption/legend for your figure. (50 points) Notes: 1. Units are not necessary in this case. 2. Technically proportions should be transformed, but for today, we'll survive not doing so.
The main answer to the question regarding the genetic difference required to produce sterility in hybrid offspring is provided through regression analysis using the Silene dataset.
Regression analysis was conducted using the Silene dataset to determine the genetic difference necessary for the production of sterility in hybrid offspring. The dataset included information on the proportion of sterile pollen grains in hybrid offspring and the genetic difference between pairs of Silene species, as measured by DNA sequence divergence. The analysis aimed to establish the relationship between genetic difference and sterility proportion.
The null hypothesis (H0) for this analysis would state that there is no significant relationship between genetic difference and the proportion of sterile pollen grains in hybrid offspring. Conversely, the alternative hypothesis (H1) would suggest that there is a significant relationship between genetic difference and sterility proportion.
By conducting the regression analysis on Excel or SPSS, a scatter plot can be generated, with the genetic difference on the x-axis and the proportion of sterile pollen grains on the y-axis. The scatter plot will help visualize the data and observe any potential patterns or trends.
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Solve x2 − 24x = −80 by completing the square. what is the solution set of the equation?
Answer:
Solve x2 − 24x = −80 by completing the square. what is the solution set of the equation?
The Answer Is X = 20 or x = 4
Find the volume of the solid of revolution generated by revolving about the x-axis the region under the following curve. y= x from x=0 to x=20 (The solid generated is called a paraboloid.) The volume is (Type an exact answer in terms of n.)
To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:
```
|
20 | *
| *
| *
| *
|*
0 --------------
0 10 20
```
Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.
To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.
To do this, we'll use the formula for the volume of a cylinder, which is:
V = πr^2h
where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:
- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.
So, the volume of each disk is:
dV = πr^2dx
= πx^2dx
To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:
V = ∫(from x=0 to x=20) dV
= ∫(from x=0 to x=20) πx^2dx
Evaluating this integral gives us:
V = π/3 * 20^3
= 8000π/3
So the exact volume of the paraboloid is 8000π/3.
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Please help
State if the three numbers can be the measures of the sides of a triangle. 1) 9, 7, 13 2) 26, 12, 11 3) 11, 2,9 4) 6, 11, 12 Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 5) 12,9 7) 11,6 6) 8, 11 8) 12,8
To determine if the three numbers can be the measures of the sides of a triangle:
According to the Triangle Inequality theorem to construct a triangle, the sum of the two sides of the triangle is greater than the third side i.e x + y>z
1) 9, 7, 13
So, 9+7 > 13
16 > 13
7+ 13 > 9
20 > 9
9+13 > 7
22 > 7
Yes, they can be the measures of the sides of a triangle.
2) 26, 12, 11
So, 26+12 > 11
38 > 11
12+ 11 > 26
23 < 26
No, they cannot be the measures of the sides of a triangle.
3) 11, 2,9
So, 11+2 > 9
13 > 9
2+ 9 > 11
11 = 11
No, they cannot be the measures of the sides of a triangle.
4) 6, 11, 12
So, 11+6 > 12
17 > 9
11+12 > 6 and 12+6 > 11
Yes, they can be the measures of the sides of a triangle.
To determine the range of the third side we find the maximum value and minimum value using two sides of a triangle.
Let's assume that x is the third side of the triangle.
5) 12,9
So, the maximum value of the third side is 12+9 = 21 and the minimum value is 12-9 = 3.
Hence, the range is 3<x<21.
6) 8, 11
The maximum value of the third side is 8+11 = 19 and the minimum value is 11-8 = 7.
Hence, the range is 3<x<19.
7) 11,6
The maximum value of the third side is 11+6 = 17 and the minimum value is 11-6 = 5.
Hence, the range is 5<x<17.
8) 12,8
The maximum value of the third side is 12+8 = 20 and the minimum value is 12-8 = 4.
Hence, the range is 4<x<20.
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Solve for t. 1/5 t + 2 = 17
Step-by-step explanation:
1/5t+2=17
= 1/5t=15
= t=15×5
= t=75
Answer:
t=75
Step-by-step explanation:
1/5t+2=17
1/5t=17-2
1/5t=15
t=15×5
t=75
1. During a thunder storm, the amount of rain on the ground increased at an average rate of 0.25
inch per hour. There was already 4.5 inches of rain on the ground when the storm started.
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
GivenAverage Rate of Rain on Inch Per Hour = 0.25The Rain on the Ground = 4.5Time of Raining = 8 hoursOperationMultiplication and AdditionNumber Sentence(0.25 x 8) + 4.5= 2 + 4.5= 6.5Final AnswerHence, the total amount of rain is 6.5 inches.If a company's current sales revenue is $1,386,000 and its marketing objective is to increase sales by 10 percent during the next year, what is the dollar sales goal or the following year?
Answer: ales revenue = 1,386,000 dollars Increase sales in percent = 10 percent Increase sales in dollars = 1,386,000 dollars * 0,1 = 138,600 dollars New sales goal in dollars = 1,386,000 dollars + 138,600 dollars = 1,524,600 dollars
New sales goal is 1,524,600 dollars.
Step-by-step explanation:
Kay left her computer running for 2~ days. How many hours did she leave her computer running for?
she left her computer open for 48 hours
Write the linear equation in slope-intercept form given the following:
(1, 4); slope=-2
Answer:
y=-2x+6
Step-by-step explanation:
y-4=-2(x-1)
y=-2x+6
What is the probability of getting an even number of dots in tossing a dice once if the ratio of even number to an odd number is 4:7?
Answer:
The probability is 4/11
Step-by-step explanation:
Here, we want to get the probability of getting an even number
Using the given ratio, the total of the numbers is 4 + 7 = 11
The number of even numbers is 4
So the probability of getting an even number will be the number of even numbers divided by the total of the numbers
We have this as 4/11