Lakisha’s employer pays $2,150 in health insurance and $86 in life insurance per year. she also gets $3,520 in paid time off per year. her monthly gross pay is $4,370. what are lakisha’s total job benefits per year? a. $5,756 b. $10,126 c. $52,440 d. $58,196 please select the best answer from the choices provided a b c d
Lakisha's total job benefits per year are (D) $58,196.
What are employees' benefits?Employee perks and benefits in kind are non-wage compensation provided to employees in addition to their regular income or salary. A "salary package" or "salary exchange" arrangement is one in which an employee exchanges salaries for some other type of compensation.To find Lakisha's total job benefits:
If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:
Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay
Total Benefits= $2,150+$86+$3,520+12($4,370)Total Benefits= $2,150+$86+$3,520+$52,440Total Benefits=$58,196Therefore, Lakisha's total job benefits per year are (D) $58,196.
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Answer The answer is D
Step-by-step explanation:
I got it correct on edg
Which equation shows the commutative property of addition? 4 3 = 3 4 1(3) = 3 (2 7) 12 = 2 (7 12) 4 0 = 4
The equation which shows the commutative property of addition is (A) 4+3=3+4.
What is the commutative property of addition?The commutative property is concerned with arithmetic operations such as addition and multiplication. It indicates that switching the order or position of two numbers while adding or multiplying them has no effect on the outcome. For example, 4 + 5 equals 9, and 5 + 4 equals 9.So,
The commutative property for addition states that, a + b = b + a .
Where a, b is any number.
The above condition is satisfied by the equation
4 + 3 = 3 + 47 = 7Therefore, the equation which shows the commutative property of addition is (A) 4+3=3+4.
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The correct question is given below:
Which equation shows the commutative property of addition?
A. 4+3=3+4
B. 1(3)=3
C. (2+7)+12=2+(7+12)
D. 4+0=4
If i throw 20 knifes what is the probability that i will hit my assistant exactly 3 out of those twenty times?
The probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
According to the given question.
Number of times a kinfe is thrown = 20
Let p denotes the probability that knife will hits the assistant. And q denotes the probability that knife will not hit the assistant.
so,
p = 1/20
q = 1 - 1/20 = 19/20
Therefore,
The probability that knife will hit assiant exactly 3 out of 20 times
[tex]= ^{20}C_{3} ( \frac{1}{20}) ^{3} (\frac{1}{19} )^{17}[/tex]
= [tex]\frac{20!}{3!17!} (0.05)^{3} (0.0526)^{17}[/tex]
=
Hence, the probability that knife will hit assistant exactly 3 out of 20 times is 0.001425.
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5. (02.02 MC)
Use the graph to fill in the blank with the correct number. (1 point)
f(1) =
Find the 45th term of the arithmetic sequence an = 2 + 4(n − 1).
145
182
178
264
The 45th term of the arithmetic sequence is 178. Option C
How to determine the term
Given the arithmetic sequence formula as;
an = 2 + 4(n − 1)
we have n = 45
Let's substitute the value of 'n' into the formula;
a = 2 + 4( 45 - 1)
expand the bracket
a = 2 + 4(44)
a = 2 + 176
a = 178
The 45th term is 178
Thus, the 45th term of the arithmetic sequence is 178. Option C
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Numbers that are divisible by 2 4 6 8 and 10 have to be?
Answer:
Even
Step-by-step explanation:
The sum of two numbers is 56. The first number is 2 times greater than the second number. What is the second number?
Answer:
y = 56/3
Step-by-step explanation:
We need to write equations to solve
Let the two numbers be x and y
The sum is 56
x+y = 56
The first number is 2 times greater than the second number.
x = 2*y
Substitute this into the first equation
x+y = 56
2y+y=56
3y = 56
y = 56/3
Step-by-step explanation:
Let the numbers be x and y
The sum of the two numbers is 56 :
Step 1:
X + Y = 56.......... (1)
Also, the first number is 2 times greater than the second number:
Step 2:
2X + Y = 0........... (2)
By substitution method, make Y the subject from (2)
Step 3:
Y = -2X .......... (3)
Put (3) into (1)
Step 4
X - 2X = 56
-X = 56
[tex] \frac{ - x}{ - 1} = \frac{56}{ - 1} [/tex]
X = -56
Put X=56 into (3)
Step 5
[tex]y = - 2( - 56)[/tex]
[tex]y = 112[/tex]
The second number is now 112.
Which term is not possible in the domain of a sequence?
The term that is not possible in the domain of a sequence is:
-5
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. For a sequence, the domain is the set that contains all the indexed of the terms, starting at 0 and going until the nth term.
For example, suppose we have the following sequence: 3, 5, 7, ...
The term with index 0 is 3.The term with index 1 is 5.The term with index 2 is 7.From what was explained above, which also can be visualized with the example, an index term of a sequence cannot be negative, hence the term that is not possible in the domain of a sequence is:
-5.
Which is the only negative number of the options.
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Question 2 (Essay Worth 10 points)
(08.02 MC)
A pair of equations is shown below:
y = 7x − 9
y = 3x − 1
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
Step-by-step explanation:
part A: when you graph both y=7x-9 and y=3x-1 the two lines will intersect this is how you solve the graphing part of the system of equations.
Both of these lines are in slope form (y=mx+b) where m is the slope which is 7 and 3 and b is the y-intercept which is -1 and -9.
part B
7x-9=3x-1
subtract 3x from both sides
4x-9=-1
add 9 to both sides
4x=8
divide both sides by 4
x=2,
making y=3x-1 become:
y=3(2)-1=6-1=5,
the answer is (2,5)
The starting lineup for a softball team consists of 10 players, How many different batting orders are possible using the starting lineup
The number of different batting orders are possible using the starting lineup is 3628800
How to determine the number of different batting orders are possible using the starting lineup?The given parameter is
Players, n = 10
The different batting orders are possible using the starting lineup is calculated using the following permutation expression
Ways = nCn
Substitute the known values in the above equation
Ways = 10P10
Apply the permutation formula
Ways = 10!/(10 - 10)!
Evaluate the difference
Ways = 10!/0!
0! = 1
So, we have:
Ways = 10!/1
Evaluate
Ways = 10!
Expand
Ways = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Evaluate the product
Ways = 3628800
Hence, the number of different batting orders are possible using the starting lineup is 3628800
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A sample consists of every 25th student from a group of 1000 students. the sampling technique used is:
A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.
What is meant by systematic sampling?Systematic sampling is a probability sampling technique in which researchers periodically choose people from the population.Comparatively speaking, systematic sampling is easier and clearer than a random sample. Additionally, it might make it easier to cover a large study region. Systematic sampling, however, puts certain arbitrary parameters into the data. This may result in some patterns being overrepresented or underrepresented.Imagine that a statistician randomly chooses 100 individuals from a population of 10,000 as an example of systematic sampling. For example, selecting a fresh sample to draw from every 12 hours is one way to make the sampling intervals systematically.A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.
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Pretest: Unit 3
Question 12 of 28
A ladder leans against a 15-foot-tall building to form a right triangle. The
ladder is placed so it is 8 feet from the base of the building. What is the
length of the ladder?
A. 289 ft
OB. 17 ft
O C. 13 ft
D. 161 ft
←BREMQU
Building
15 ft
Ladder
8 ft
42
XA
18
Find the volume of the parallelepiped determined by the vertices (0, 1, 0), (1, 1, 1), (0, 2, 0), (3, 1, 2)
The volume of the parallelopiped is 1 cubic units.
In this question,
A parallelepiped is a three-dimensional shape with six faces, that are all in the shape of a parallelogram. It has 6 faces, 8 vertices, and 12 edges. The volume of a parallelepiped is the space occupied by the shape in a three-dimensional plane.
Let the parallelepiped be PQRS.
The vertices of parallelepiped are P(0, 1, 0), Q(1, 1, 1), R(0, 2, 0), S(3, 1, 2).
The volume of parallelopiped can be found by using following steps.
PQ = Q - P = (1,0,1)
PR = R - P = (0,1,0)
PS = S - P = (3,0,2)
Now, the volume of parallelopiped is
[tex]v=\left\begin{vmatrix}1&0&1\\0&1&0\\3&0&2\end{vmatrix}[/tex]
The determinant the matrix is
⇒ 1(2-0) - 0(0-0) + 1(0-3)
⇒ 1(2) - 0 + (-3)
⇒ 2 - 3
⇒ -1
Hence we can conclude that the volume of the parallelopiped is 1 cubic units.
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1. If A(-1, 1) and B(3,-1) are the endpoints of one side
square ABCD, what is the area of the square?
of
(A) 12
(B) 16
(C) 20
(D) 25
(E) 36
Answer:
C 20
Step-by-step explanation:
we need the distance between both points, then, as this is the side of a square, we square it and get the area of the square.
the distance we get via Pythagoras (the distance is the Hypotenuse of a right-angled triangle with the coordinate differences in x and y being the legs) :
distance² = (-1 -3)² + (1 - -1)² = (-4)² + 2² = 16+4 = 20
distance = sqrt(20)
the area of the square is the side², so again distance², and therefore the area is 20.
Please help quick
[tex]y=\frac{-1}{2\sqrt{x^{3} } }[/tex]
can you put step-by-step no verbal explanation needed how I can get to
[tex]y=\frac{-2}{x\sqrt{x} }[/tex]
The equation y=[tex]-1/2\sqrt{x^{3} }[/tex] does not give result to y=-2/[tex]x\sqrt{x}[/tex].
Given two equations y=[tex]-1/2\sqrt{x^{3} }[/tex] and y=-2/[tex]x\sqrt{x}[/tex].
We are required to find that how the first equation will result in second equation.
Equation is like a relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c. It may be a linear equation,cubic or quadratic equation or many more depending on the power if variable.
Taking the first equation.
y=[tex]-1/2\sqrt{x^{3} }[/tex]
Interchange the power of x.
y=-1/2[tex]\sqrt{x} ^{3}[/tex]
Now multiply [tex]\sqrt{x}[/tex] three times.
y=-1/2[tex]\sqrt{x} \sqrt{x} \sqrt{x}[/tex]
Now [tex]\sqrt{x} \sqrt{x}[/tex] will result in x.
y=-1/2x[tex]\sqrt{x}[/tex]
You can see our result is not matching the second equation.
Hence the equation y=[tex]-1/2\sqrt{x^{3} }[/tex] does not give result to y=-2/[tex]x\sqrt{x}[/tex].
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Identify the expression equivalent to 2x 8 by substituting x = 7 and x = 5. a. 2x 10 10 b. 2(x 2) c. (x 4) (x 4) d. (x 4) e. 2(2x 4)
the expression equivalent to 2x + 8 is (x+4) + (x+4)
using the commutative property we can say that
2x +8 = x + x + 8
also 2x + 8 = x + 4 + x + 4
hence 2x + 8 = (x+4) + (x+4)
What is an expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both.Addition, subtraction, multiplication, and division are all possible mathematical operations.There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.In a mathematical expression, the following terms are used:An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.a number that is multiplied by a variable is referred to as a coefficient.To know more about variable with the given
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Evaluate the integral.
√
S-
5
√x (4+5√x)²
2
dx
Substitute [tex]y=4+5\sqrt x[/tex] and [tex]dy=\frac5{2\sqrt x}\,dx[/tex]. Then the integral is
[tex]\displaystyle \int \frac5{\sqrt x (4+5\sqrt x)^2} \, dx = 2 \int \frac{1}{(4+5\sqrtx)^2} \frac{5}{2\sqrt x} \, dx = 2 \int y^{-2} \, dy[/tex]
By the power rule,
[tex]\displaystyle \int y^{-2} \, dy = -y^{-1} + C[/tex]
so that
[tex]\displaystyle \int \frac5{\sqrt x (4+5\sqrt x)^2} \, dx = \boxed{-\frac2{4+5\sqrt x} + C}[/tex]
Yu-xi draws a triangle with two angles measuring and . what is the measure, in degrees, of the third angle? 78 79 101 102
Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
Triangle definitionA triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.
In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.
One of the properties of any triangle is that the sum of the interior angles is equal to 180°.
Missing angle value in this caseIn this case, you know that:
One interior angle measures 79°.Another interior angle measures 23°.The sum of the interior angles is equal to 180°.So the value of the missing angle can be calculated by:
79° + 23° + missing angle = 180°
Solving:
102° + missing angle = 180°
missing angle= 180° - 102°
missing angle= 78°
Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
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Answer:
The answer is 78.
Step-by-step explanation:
Person above is right and I'm also taking the test!!
Geometry: write formal proofs, ASAP!!!!
Answer:
By the definition of midpoints, AX and CX are congruent. By the definition of segment bisectors, X is the midpoint of BD, and therefore BX and DX are congruent. Since angle AXD and CXB are vertical angles, they are congruent by the vertical angles theorem. By SAS, triangles AXD and CXB are congruent. By CPCTC, angles A and C are congruent. By converse of alternate interior angles theorem, AD is parallel to CB.
yvette uses 6 grams of tea leaves to make 24 fluid ounces of tea. last week she made 288 fluid ounces of tea. how many grams of tea leaves did yvette use to make tea last week
72 grams tea is needed to prepare 288 fluid ounces of tea.
According to the statement
we have given that the yvette uses 6 grams of tea leaves to make 24 fluid ounces of tea.
And we have to find that the how much grams of tea uses to make 288 fluid ounces of tea.
So, For this purpose,
the given terms are:
6 grams tea = 24 fluid ounces of tea
Now, we use division method
1 gram of tea = 4 fluid ounces of tea
It means
4 fluid ounces of tea prepared by 1 gram of tea.
then
288 fluid tea prepared = ?
So,
288 fluid tea prepared by grams of tea = 288/4
288 fluid tea prepared by grams of tea = 72.
So, 72 grams tea is needed.
So, 72 grams tea is needed to prepare 288 fluid ounces of tea.
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Select the reason that best supports statement 8 in the given proof. PLS ASAP. Ive been stuck on this for forever.
Answer:
C
Step-by-step explanation:
You are dividing BOTH sides by 3.
"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal."
can someone please help me(20 points will give brainliest!!!)
Answer:
Step-by-step explanation:
F starts at 200 and ends at 900
V starts at 0 and ends at 100
points(0,200) and (100,900)
200-900/0-100
= -700/-100
=7 which means every 7 it goes you another 100
this is all I got hope it helps
Pls help quickly!!!!! hector built a tent shaped like a rectangular pyramid. the volume of the tent is 56 cubic ft. the area of the base of the tent is 24 square ft. what is the hieght of hectors tent in feet?
The rectangular pyramid rises 7 feet in height.
What is a rectangle-shaped pyramid?Pyramids are three-dimensional objects with triangle-shaped faces and an all-encompassing polygonal base. It is referred to as a rectangular pyramid if the base of the structure is rectangular. Although all pyramids have a rectangular foundation, they all have triangular edges.
How is the height of the rectangular pyramid determined?
First, we understand that a rectangular pyramid's volume is determined by:
[tex]V=B * H / 3[/tex]
The height H is determined by the base B.
When we know the volume is 56 [tex]ft^{3}[/tex] and the base is 24 [tex]ft^{2}[/tex], we can then swap out those two numbers in the volume calculation to get:
[tex]56 f t^{3}=24 f t^{2} * H / 3[/tex]
When we solve it for H, we get:
[tex]H=3 *\left(56 f t^{\circ} / 24 f t^{2}\right)=7 f t[/tex]
The rectangular pyramid rises 7 feet in height.
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Pls help me answer this question3 x 2 2/5
Answer:
7 1/5
Step-by-step explanation:
Select the correct answer what are the solutions to this quadratic equation 4x^2-10=10-20x
Answer:
x1 = 5-3squareroot 5/2 x2= -5+3 squareroot 5 / 2
Step-by-step explanation:
does someone mind helping me with this question? Thank you!
Answer:
4/9
Step-by-step explanation:
.44444.. = 4/9
0.nnnnnnnn.... = n/9
0.mnmnmnmnmn.... = mn/99
and so on
Angle Sum Theorem
y = ?
Answer:
140°
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 remote interior angles. (The 2 angles farthest from the angle on the outside of the triangle)
20 + 120 = 140
Answer:
y= 140
Step-by-step explanation:
first you find x by using the sum of angles in a triangle(180-120-20). so x is 40.and then you do 180-40 ( adjustment angles on a straight line. let me know if it makes sense.
can someone please help me(20 points will give brainliest!!!)
4ln x -8=12 its giving me other equations
The solution of the given logarithmic equation is x = 28.1
How to solve the logarithmic equation?
Here we have the logarithmic equation:
4*ln(x - 8) = 12
And we want to solve this for x.
Remember the relations:
[tex]ln(e^x) = x\\e^{ln(x)} = x[/tex]
First, we divide both sides by 4:
[tex]ln(x - 8) = 12/4 = 3[/tex]
Then, if we apply the exponential equation to both sides of our equation, we get:
[tex]e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1[/tex]
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What tow numbers have a product of 52 and,when the larger number is divided by the smaller number, a quotient 4?
The numbers are 14.42 and 3.6055.
What is a dividend?It is the whole which is to be divided into different equal parts. For example, if 10 divided by 2 is 5, then 10 is the dividend here, which is divided into two equal parts whereas 2 is the divisor, the quotient is 5 and the remainder is 0.
We can write the system of equations
x*y=52 .......(1)
[tex]\frac{x}{y}[/tex]=4 ........(2)
We can use substitution to solve
From equation (2) we get,
x = 4y .......(3)
now substitute in equation (1)
4y*y = 52
[tex]4y^{2} = 52[/tex]
[tex]y^{2} = \frac{52}{4}[/tex]
[tex]y = \sqrt{13}[/tex]
y = 3.605
We can solve for x = ?
from equation (3)
x = 4y
x = 4*3.605
x = 14.42
Hence, The numbers are 14.42 and 3.6055.
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