Employers frequently offer full-time employees benefits such as health insurance, retirement plans like 401(k)s, life insurance, paid vacation, and tuition reimbursement, in addition to legally required contributions to Social Security and unemployment insurance.
Employers often provide a range of benefits to their full-time employees beyond the usual salary. Common benefits include:
Health insurance, which helps cover medical expenses that are not covered by public health care plans.
Retirement plans, such as a 401(k) plan where employees can have a portion of their salary deducted and invested for retirement, often with some form of employer match.
Life insurance, offering financial security to an employee's beneficiaries in the event of their passing.
Paid vacation, allowing employees to have paid time off from work.
Tuition reimbursement programs, where employers provide financial support to employees who pursue further education.
These benefits are crucial as they provide a sense of security and support employees’ work-life balance, health and welfare, and professional development.
In addition to these, employers are required by law to make contributions towards legally required benefits such as Social Security, unemployment, and worker's compensation insurance. Some employers may offer additional perks like telecommuting options or employee assistance programs. However, benefits like free gasoline, rent, or sabbaticals are less common and tend to be specific to certain companies or industries.
What is the average rate of change for this function for the interval from x=3 to x=5
Answer:
A. 16
Step-by-step explanation:
We have to find rate of change of function from x=3 to x=5
The average rate of change for the interval a≤x≤b is given by:
Rate of change= (f(b)-f(a))/(b-a)
In our question,
a=3
and
b=5
We can see from the table that at x = 3, the value of function is 18
So,
f(a)=18
and
At x=5, the value of function is 50
f(b)=50
Rate of change=(50-18)/(5-3)
=32/2
=16
So the rate of change of function between x=3 and x=5 is 16 ..
Option A is the correct answer..
Find the domain and range!!! 10 points!! Help needed
ANSWER
B. Domain is (-∞,∞) and Range is (-∞,∞).
The given function is
[tex]f(x) = \sqrt[3]{x - 6} + 5[/tex]
This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.
This function is defined for all real values of x.
Therefore the domain is all real numbers.
The range is all real numbers.
The domain for this function becomes the range for the inverse function and the range becomes the domain.
Hence the domain is (-∞,∞) and the range is (-∞,∞).
what is the volume of the composite figure
Answer:192^3
Step-by-step explanation:
Multiply the base x width x height (6, 8, 4) and get your answer 192^3.
The volume of composite figure is [tex]76ft^{3}[/tex]
Volume:To find the volume of composite figure,
Let us consider that, given figure is complete.
So that, [tex]length=6ft, width=2ft, height=8ft[/tex]
Volume of complete figure,
[tex]Volume=length*width*height\\\\Volume=6*2*8=96ft^{3}[/tex]
Now find the volume of cut part.
[tex]Volume=2*2*5=20ft^{3}[/tex]
Volume of composite figure is,
[tex]96-20=76ft^{3}[/tex]
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Please help me with this question please
Answer:
1 Goes with A. 2 Goes with C. 3 Goes with B.
Step-by-step explanation:
I counted them lol
Joe earned $2,400 this year. last year he earned $1,800. this year's earning were percentage of last year's.
Answer: About 134% of last years earnings
Step-by-step explanation:
Given the function f(x)=-x^2+6x+13f(x)=−x
2
+6x+13, determine the average rate of change of the function over the interval -1\le x \le 5−1≤x≤5.
Answer:
3
Step-by-step explanation:
The given function is
[tex]f(x)=-x^2+6x+13[/tex]
The average rate of change is simply the slope of the secant line connecting any two point on the graph of the function.
The average rate of change of this function over the interval;
[tex]-1\le x\le 5[/tex] is given by:
[tex]\frac{f(5)-f(1)}{5-1}[/tex]
[tex]f(5)=-(5)^2+6(5)+13[/tex]
[tex]f(5)=-25+30+13=18[/tex]
[tex]f(-1)=-(-1)^2+6(-1)+13[/tex]
[tex]f(-1)=-1-6+13=18[/tex]
[tex]f(-1)=6[/tex]
The average rate of change now becomes;
[tex]\frac{18-6}{4}[/tex]
[tex]\frac{12}{4}=3[/tex]
which is the point and slope of the equation y+8= -1/9(x-7)
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 8 = - [tex]\frac{1}{9}[/tex] (x - 7) is in this form
with slope = - [tex]\frac{1}{9}[/tex] and (a, b) = (7, - 8)
big points answer all questions on pic
QUES 1)
Let x denote the gig of data used.
and y denote the monthly charge for use of data
We know that the equation of a line with given slope "m" and y-intercept "c" is given by:
y=mx+c
Runfast--
The monthly charge is: $ 8
and the cost of per gig of data is: $ 8
Since, the cost per gig represent the slope and fixed monthly charge represent the y-intercept.
Hence, the equation that is given by this set of information is:
[tex]y=8x+8---------(1)[/tex]
BA & D--
The monthly charge is: $ 15
and the cost of per gig of data is: $ 4
Hence, the equation that is given by this set of information is:
[tex]y=4x+15-----------(2)[/tex]
QUES 2)
We will substitute the value of y from equation (1) in equation (2) as follows:
8x+8=4x+15
i.e. 8x-4x=15-8
i.e. 4x=7
i.e. x=7/4=1.75
and the value of y is:
y=8×1.75+8
i.e. y=22
Hence, the cost of both the companies are equal when 1.75 gigs of data is used and the cost is: $ 22
( Since , the solution is: (1.75,22) )
a cable 28 feet long runs from the top of a utility pole to a point on the ground 13 feet from the base of the pole. how tall I'd the utility pole
Answer: 15 feet
Step-by-step explanation: 28-13
the sum of x and a multiple of x ?
Answer:
Take x and 5x for example.
5x is a multiple of x.
If you were to add x and 5x, you'd get 6x.
So basically, when you add x and a multiple of x, just add 1 to the number in front of the multiple of x.
[Like how we did earlier, 5x + (1)x = 6x]
Answer:
add x and a multiple of x, and 1
Step-by-step explanation:
Part of the graph representing an electrical signal is shown. The voltage rises steadily from an initial value (A) to a maximum value (B). It then drops instantly to the initial value (C) and repeats such that || and and are vertical. If A = (1, 1) and B = (4, 3), what is the equation of ?
A.
-3y − 2x = 5
B.
3y − 2x = 5
C.
3y − 2x = -5
D.
3y + 2x = 5
Answer:
D
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the 10th term to this sequence 2, 6, 18
Answer:
39366
Step-by-step explanation:
Answer:
1. 2
2. 6,
3. 18,
4. 54,
5. 162,
6. 486,
7. 1,456,
8. 4,368
9. 13,104
10. 39,312
Step-by-step explanation:
please help me asap!!!
Answer:
The answer is 7!
Step-by-step explanation:
Step-by-step explanation:
if p = 0.5, then 8p =4
if q =7, then 3q =21
thus 8p + 3q -18 = 4 + 21 -18 = 7
Please help! Order the dot plot from least to greatest in typical value. I will give brainliest!!!
What your are going to want to do is look for the average of the number (hope this helps some what!) good luck
This Venn diagram shows sports played by 10 students
Answer:
please upload the complete image once again for better understanding.
Step-by-step explanation:
Answer:
The answer is 4/5
Step-by-step explanation:
Someone plz help ! So the marking period is almost done and I’m horrible at math and I really wanna graduate so someone plz help
Answer:
11: b = c - 0.5, where b is the bread and c is the cheese
12: h = b + 2, where h is the height and b is the base
13: p = 25b, where p is the plane ticket and b is the bus ticket
find the circumstance of the circle with the radius of 6
Answer:
Circumference=37.6991 or 38
Step-by-step explanation:
c=2[tex]\pi[/tex]r
c=2[tex]\pi[/tex]6
c=37.6991
Answer:
Step-by-step explanation:
c=2\pir
Please help with question 4 about the plant species population
Answer:
5 years I think....
Step-by-step explanation:
B Specie A Specie
5000 2000
10000 4000
6000
8000
10000
Answer:
30.54 yrs
Step-by-step explanation:
We have been given the following exponential growth functions;
Species A;
[tex]p=2000e^{0.05t}[/tex]
Species B;
[tex]p=5000e^{0.02t}[/tex]
where t = 0 in 2010.
We are required to determine the number of years it will take for the populations of both species to be equal.
To do this we simply equate the two exponential functions and solve for t;
[tex]2000e^{0.05t}=5000e^{0.02t}\\\\2e^{0.05t}=5e^{0.02t}\\\\\frac{5}{2}=\frac{e^{0.05t} }{e^{0.02t} }\\\\2.5=e^{0.03t}\\\\ln(2.5)=0.03t\\\\t=\frac{ln(2.5)}{0.03}=30.543[/tex]
A kite was broken into two triangles of the same size and shape .
The area of each triangle is ? Square centimeters
20,40,80,160
The total are of the kite is ? Square centimeters
40,80,160,320
ANSWER
Each triangle:40 cm²
Kite : 80cm²
EXPLANATION
The area of a triangle is
[tex] \frac{1}{2}bh[/tex]
The height of the triangle is
[tex] h = \frac{1}{2} (10)=5cm[/tex]
and the base is 16 cm.
The area of each triangle is
[tex] = \frac{1}{2}(16)(5) = 40 {cm}^{2} [/tex]
2. The total area of the kite is 2 times the area of one triangle.
[tex] = 2 \times 40 = 80 {cm}^{2} [/tex]
Answer:
The first answer to your question is B=40
The second answer to your question is B=80
Step-by-step explanation:
Right on ED2021, goodluck!
Find the median, first quartile, third quartile, and interquartile range of the data. 132,127,106,140,158,135,129,138
The median is 133.5, the first quartile is 128, the third quartile is 139, and the interquartile range is 11.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
To find the median, first we need to order the data set from least to greatest:
106, 127, 129, 132, 135, 138, 140, 158
There are 8 data points, so the median is the average of the 4th and 5th numbers:
Median = (132 + 135) / 2 = 133.5
To find the quartiles, we need to divide the data set into four equal parts. Since there are 8 data points, the first quartile (Q1) is the median of the first half of the data set, and the third quartile (Q3) is the median of the second half of the data set.
Q1 = median of {106, 127, 129, 132} = (127 + 129) / 2 = 128
Q3 = median of {135, 138, 140, 158} = (138 + 140) / 2 = 139
The interquartile range (IQR) is the difference between the third quartile and the first quartile:
IQR = Q3 - Q1 = 139 - 128 = 11
Therefore,
The median is 133.5, the first quartile is 128, the third quartile is 139, and the interquartile range is 11.
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Final answer:
The median of the given data set is 133.5, with the first quartile (Q1) at 128 and the third quartile (Q3) at 139. The interquartile range (IQR) is 11, and the range is 52.
Explanation:
To find the median, first quartile (Q1), third quartile (Q3), and interquartile range (IQR) of a set of data, we first need to list the data in ascending order. The given data is: 106, 127, 129, 132, 135, 138, 140, 158.
The median is the middle number when the data set is ordered. Since there are 8 numbers, the median will be the average of the 4th and 5th numbers: (132 + 135) / 2 = 133.5. So the median is 133.5
To find the first quartile, which is the median of the lower half of the data (excluding the median if the number of data points is odd), we look at the first four numbers: 106, 127, 129, 132. The median of this subset is (127 + 129) / 2 = 128. So Q1 is 128.
Similarly, Q3 is the median of the upper half of the data. For the numbers 135, 138, 140, 158, the median is (138 + 140) / 2 = 139. So Q3 is 139.
The IQR is the difference between Q3 and Q1, so IQR = 139 - 128 = 11.
The range of the data is the difference between the max and min values, which is 158 - 106 = 52.
if PQ = QR, JK = 3x + 23 and LM = 9x - 19, find PK
Answer:
pk=22
Step-by-step explanation:
3x+23=9x-19
x=7
3x7+23=44
44/2
22
To find PK when PQ = QR, JK = 3x + 23, and LM = 9x - 19, you can add JK and LM together to get PK = 12x + 4.
Explanation:Given that PQ = QR, JK = 3x + 23, and LM = 9x - 19, we can find PK by adding JK and LM together since they are all part of the same line. So, PK = JK + LM = (3x + 23) + (9x - 19). Now simplify the expression by combining like terms: PK = 3x + 9x + 23 - 19 = 12x + 4.
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given that BD is both the median and altitude of triangle ABC, congruence postulate SAS is used to prove that triangle ABC is what type of triangle?
Answer:
Isosceles
Step-by-step explanation:
Consider triangle ABC, BD is the median and the altitude drawn to the side AC. This segment (BD) divide the triangle ABC into two triangles: ABD and CBD.
In these triangles:
AD=DC (because BD is the median);∠ADB=∠CDB=90° (because BD is the altitude);BD is common side.Thus, by SAS postulate, triangles ABD and CBD are conruent. Congruent triangles have congruent corresponding sides. Hence, AB=CB.
If in triangle ABC, AB=BC, then this triangle is isosceles.
Answer:
Isosceles (apex)
Step-by-step explanation:
The amount of sales tax varies directly with the cost of the purchase. If the sales tax is $3.80 on a purchase of $76 what would be the sales tax on a purchase of $46
Answer:
The sales tax is equal to [tex]\$2.3[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
Let
y-----> the cost of the purchase
x ----> the sales tax
step 1
Find the value of k
For [tex]y=76, x=3.80[/tex]
substitute
[tex]k=y/x[/tex]
[tex]k=76/3.8[/tex]
[tex]k=20[/tex]
The linear equation is equal to
[tex]y=20x[/tex]
step 2
what would be the sales tax on a purchase of $46
For [tex]y=46, x=?[/tex]
substitute in the equation
[tex]46=20x[/tex]
[tex]x=46/20[/tex]
[tex]x=\$2.3[/tex]
Answer:
$2.30
Step-by-step explanation:
We have been given that the amount of sales tax varies directly with the cost of the purchase.
We know that a direct variation in in form [tex]y=kx[/tex], where, y varies directly with x and k is constant of variation.
First of all, we will find constant of variation as:
[tex]\text{Sales tax}=k*\text{Cost of purchase}[/tex]
[tex]\$3.80=k*\$76[/tex]
[tex]\frac{\$3.80}{\$76}=\frac{k*\$76}{\$76}[/tex]
[tex]0.05=k[/tex]
To find the amount of sales tax on a purchase of $46, we will substitute [tex]k=0.05[/tex] in our equation as:
[tex]\text{Sales tax}=0.05*\$46[/tex]
[tex]\text{Sales tax}=\$2.30[/tex]
Therefore, the sales tax would be $2.30.
Which could be the function graphed below?
Answer:
Given graph represents function.
Step-by-step explanation:
We have been given a graph. Now we need to find if the given graph represents function or not.
To check if any graph represents function or not, we apply vertical line test. That means if there exists any vertical line that crosses the given graph more than once then the given graph is not a function.
Now if you draw vertical lines then you won't find any such vertical line which crosses graph more than once.
Hence given graph represents function.
Answer:
[tex]f(x=\sqrt{x}-2[/tex].
Step-by-step explanation:
We have been given graph of a function. We are supposed to find the function formula.
Upon looking at our given function, we can see that it is transformed form of a square root function.
We know that square root parent function is in form [tex]f(x)=\sqrt{x}[/tex].
We can see that our given graph is shifted down along y-axis. The rule for shifting a graph down along y-axis is: [tex]f(x)\rightarrow f(x)-a[/tex], where graph of [tex]f(x)[/tex] is shifted down by a units.
So our function will be in form [tex]f(x=\sqrt{x}-a[/tex].
From our attached file, we can see that value of 'a' is 2.
Therefore, our required function would be [tex]f(x=\sqrt{x}-2[/tex].
what is the volume of the square pyramid with base edges 24ft and slant height of 37ft
Answer:
6720ft^3
Step-by-step explanation:
37²-12² = a²
1225 = a²
√1225 = a
a = 35
35(24²/3) =
35(576/3) =
35•192 = 6720 cm³
The answer is 6720 ft
......................................
Eight times the sum of a number and 16 is at least -28 Use the variable w for the unknown number
The phrase "eight times the sum of a number and 16 is at least -28" translates into the inequality 8(w + 16) >= -28. After solving, it shows that w must be greater than or equal to -19.5.
The student's question involves creating and solving an inequality. The inequality represents the phrase 'eight times the sum of a number and 16 is at least -28' and uses the variable w for the unknown number. The inequality in mathematical terms is:
8(w + 16) = -28
To solve the inequality, we first distribute 8 across the parenthesis:
8w + 128 = -28
Subtract 128 from both sides to get:
8w =-28 - 128
8w = -156
Now divide both sides by 8:
w = -19.5
This inequality shows that the number w must be greater than or equal to -19.5 to satisfy the original statement.
The solution to the inequality is [tex]\( w \geq -19.5 \)[/tex]
[tex]\[ w \geq \frac{-28 - 8 \times 16}{8} \][/tex]
[tex]\[ w \geq \frac{-28 - 128}{8} \][/tex]
[tex]\[ w \geq \frac{-156}{8} \][/tex]
[tex]\[ w \geq -19.5 \][/tex]
To solve this inequality, we'll first rewrite the given statement in mathematical terms. The problem states that "eight times the sum of a number and 16 is at least -28." Let's represent the unknown number by [tex]\( w \)[/tex]. According to the statement, we can write the inequality as:
[tex]\[ 8(w + 16) \geq -28 \][/tex]
To solve for [tex]\( w \)[/tex], we'll isolate it by performing operations to both sides of the inequality. First, we distribute the 8:
[tex]\[ 8w + 128 \geq -28 \][/tex]
Next, we'll subtract 128 from both sides to isolate the [tex]\( 8w \)[/tex] term:
[tex]\[ 8w \geq -28 - 128 \][/tex]
[tex]\[ 8w \geq -156 \][/tex]
Now, to solve for [tex]\( w \)[/tex], we divide both sides by 8:
[tex]\[ \frac{8w}{8} \geq \frac{-156}{8} \][/tex]
[tex]\[ w \geq -19.5 \][/tex]
So, the solution to the inequality is [tex]\( w \geq -19.5 \)[/tex]. This means that any number greater than or equal to -19.5 will satisfy the given condition. Therefore, the set of solutions is all real numbers greater than or equal to -19.5.
Complete question:
Eight times the sum of a number and 16 is at least -28 Use the variable w for the unknown number
-1 + 5n -> -26 and 7n - 2 < 12
Solving both equations individually, we derive n = -5 from the first and n < 2 from the second. No common solution exists due to the nature of these equations.
Explanation:This problem involves two separate equations where you’re asked to find the value of n that satisfies both. We solve this by treating each equation individually.
First equation: -1 + 5n = -26
To resolve for n we can simply add '1' to both sides, which result in: 5n = -25. Then divide both sides by '5' to isolate n, implying n = -5.
Second equation: 7n - 2 < 12
We will apply the same logic and add '2' to both sides, which gives 7n < 14. Afterwards, dividing through by '7', which gives us n < 2.
From these two solutions, there is no value of n that validates both equations simultaneously.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.
Do 36 divided by the amount of sides the hexagon has. I think I am not sure
What is the circumference of a circle with a diameter of 4 feet? (use 3.14 for pi)
Answer:
12.56
Step-by-step explanation:
using the formula 2piR
Answer:
12.56 feet
Step-by-step explanation:
C= pie times diameter
Or
C= 2 times pie times radius
C= 3.14 times 4
Therefore, the circumference equals 12.56 feet
what is the length of side EH if the ratio sides CD:GH is 2:3, saide AD is 8, Ab is 10, and figures ABCD and EFGH are similar
Answer:
[tex]EH=12\ units[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem
ABCD and EFGH are similar
so
CD is proportional to GH
AD is proportional to EH
[tex]\frac{CD}{GH}=\frac{AD}{EH}[/tex]
substitute the given values and solve for EH
[tex]\frac{2}{3}=\frac{8}{EH}[/tex]
[tex]EH=3*8/2=12\ units[/tex]