Answers
If we reflect about x =2, it is a mirror image on each side ( left and right). There is no other line where we can have a mirror image on each side.
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Laying down my n buffer is concerned after receiving her weekly paycheck she believes that her deductions for social security,Medicare,and federal income ta withholding (fit) may be incorrect Larsen is paid a salary of 4330 she is married filling jointly and prior to this payroll check has total earnings of 140,460 what are the correct deductions for social security Medicare and fit assume a rate of 6.3% on 142,809 for social security and 1.45% for Medicare
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Correct deduction for social security Medicare and fit at 6.3% = 8,996.967
Correct deduction for Medicare at rate of 1.45% = 2,070.731
What is Medicare?Medicare is defined as a type of health insurance that reduces the fees incurred by an individual following the reception of health services.
After deductions the total earning = 140,460
The correct deduction for social security, Medicare and fit at the rate of 6.3% of 142,809;
= 6.3/100 × 142,809
= 899696.7/100
= 8,996.967
The correct deduction for Medicare at the rate of 1.45%;
= 1.45/100 × 142,809
= 207,073.05/100
= 2,070.731.
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Find the area of the prism in the figure shown.
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TherWe are asked to determine the area of the triangular prism. To do that we will add the area of the surfaces of the prism and add them together.
we have that the front and back areas are the areas of a triangle which is given by the following formula:
[tex]A_t=\frac{bh}{2}[/tex]Where:
[tex]\begin{gathered} b=\text{ length of the base} \\ h=\text{ height of the triangle} \end{gathered}[/tex]In this case, we have:
[tex]\begin{gathered} b=3 \\ h=4 \end{gathered}[/tex]Substituting the values we get:
[tex]A_t=\frac{\left(3\right)\lparen4)}{2}[/tex]Solving the operations:
[tex]A_t=6[/tex]Since the front and back faces are the same triangle we can multiply the result by 2:
[tex]A_t=2\times6=12[/tex]Therefore, the areas of the front and back faces add up to 12.
Now, we determine the area of the right side. This is the area of a rectangle and is given by the following formula:
[tex]A_r=lh[/tex]Where:
[tex]\begin{gathered} l=\text{ length of the rectangle} \\ h=\text{ height of the rectangle} \end{gathered}[/tex]In this case, we have:
[tex]\begin{gathered} l=5 \\ h=4 \end{gathered}[/tex]Substituting the values we get:
[tex]A_r=\left(5\right)\left(4\right)[/tex]Solving the operation:
[tex]A_r=20[/tex]Now, we determine the area of the left face which is also a rectangle with the following dimensions:
[tex]\begin{gathered} h=5 \\ l=5 \end{gathered}[/tex]Substituting we get:
[tex]A_l=\left(5\right)\left(5\right)=25[/tex]Therefore, the area of the left side is 25.
The area of the bottom face is also a rectangle with the following dimensions:
[tex]\begin{gathered} h=5 \\ l=3 \end{gathered}[/tex]Substituting we get:
[tex]A_b=\left(5\right)\left(3\right)=15[/tex]Now, the total surface area is the sum of the areas of each of the faces:
[tex]A=A_t+A_r+A_l+A_b[/tex]Substituting the values we get:
[tex]A=12+20+25+15[/tex]Solving the operations:
[tex]A=72[/tex]Therefore, the surface area is 72.
A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
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Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
Which expressions are equivalent to z + (z + 6)? Choose all answers that apply: A (2 + 2) + (2 + 6) 00 (z + 6 + 6 © 2(z + 3)
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ANSWER:
[tex]2\cdot(z+3)[/tex]STEP-BY-STEP EXPLANATION:
We have the following expression
[tex]z+(z+6)[/tex]We operate and we have
[tex]z+z+6=2z+6=2\cdot(z+3)[/tex]Sketch the graph and circle the points that are solutions. (0-0)(2,5)(-3,-5)(-3,2)
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(-3,-5)
1) Let's plot both inequalities to solve that geometrically at first.
y ≤ -1/3x -2
y< 2/3x +1
2) Since the possible solutions to that Linear system of Inequalities are within the darker and common region, after examining those options we can write:
The only (-3,-5) of those is a possible solution to that System.
3) Hence the only possible solution between them is (-3,-5).
Ishaan started a toy car collection. His grandfather gave him 15 cars to start his collection. He can use his allowance to add 4 cars to his collection every month. Which equation can be used to find y, the total cars in his collection after x months?
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The equation that he can use to find y, the total cars in his collection after x months is y = 15 + 4x.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the number of months be x.
Let the number of cars be y.
The equation will be:
y = 15 + (4 × x)
y = 15 + 4x
This illustrates the equation.
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21 Mr. Bracken has 2 children that like to sit in trees. Jedi weighs 20kg and Phin weighs 25kg. The tallesttree in their yard is 20m high. The shortest branch is 10m high. If Jedi climbs to the highest branch andPhin climbs to the lowest brach, how much potential energy does each child have and which child has themost potential energy?A Jedi has 200 J, Phin has 500 J, therefore Jedi has the most potential energyB Jedi has 400 J, Phin has 250 J, therefore Phin has the most potential energy.c Jedi has 400 J, Phin has 250 J, therefore Jedi has the most potential energy.D Jedi has 200 J, Phin has 500 J, therefore Phin has the most potential energy.
Answers
Potential energy = mass x gravity x height
Where:
mass (kilograms)
gravity = 9.8 m/s2 =10 m/s2 (rounded)
Heigth = meters
Phin's potential energy = 25 kg x 10 m/s2 x 10m = 2500 J
Jedi's potential energy= 20kg x 10 m/s2 x 20 m= 4000 J
Comparing, 4000 (jedi)>2500 Phin
Jedi has the most potential energy.
Correct option : C
Simplify the following: (4x + 3) -2(4x - 7) - 3(x +7)
Answers
Simplify: (4x + 3) -2(4x - 7) - 3(x +7)
Explanation:
[tex]\begin{gathered} (4x+3)-2(4x-7)-3(x+7) \\ =4x+3-8x+14-3x-21 \\ =4x-11x+17-21 \\ =-7x-4 \end{gathered}[/tex]Final answer: -7x-4 is required simplify form .
Find the average rate of change of f(x)=x^2-4x+1 from x=2 to x=6
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Answer:
The answer is 4
change this standard form equation into slope intercept form. 4x-5y= -17
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The slope-intercept form is
[tex]y=mx+b[/tex]We have
[tex]4x-5y=-17[/tex]so we need to isolate the y
[tex]-5y=-4x-17[/tex][tex]y=\frac{-4}{-5}+\frac{-17}{-5}[/tex]We simplify
[tex]y=\frac{4}{5}x+\frac{17}{5}[/tex]ANSWER
The equation in slope-intercept form is
[tex]y=\frac{4}{5}x+\frac{17}{5}[/tex]
A committee of three people is selected at random from a set containing of seven teachers, six parents of students, and four alumni. • What is the probability the committee consists of all teachers? • What is the probability of the even that the committee consists of no teachers?
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Step 1
State the expression for the probability of an event
[tex]\text{Probability of an event = }\frac{Number\text{ of required events}}{\text{Total number of events}}[/tex]Total number of events = 7+6+4 = 17
Step 2
Find the probability for selection of 3 teachers
[tex]\text{The probability to select a teacher at the first selection = }\frac{7}{17}[/tex][tex]\text{The probability to select a teacher at the second selection=}\frac{6}{16}=\frac{3}{8}[/tex][tex]\text{The probability to select a teacher at the third selection = }\frac{5}{15}=\frac{1}{3}[/tex]Therefore
[tex]The\text{ probability the committ}ee\text{ consists of all teachers = }\frac{7}{17}\times\frac{3}{8}\times\frac{1}{3}=\frac{7}{136}[/tex]Step 3
Find the probability the committee consists of no teachers
Total number of non-teachers in the population = 6 + 4=10
Therefore,
[tex]\text{The probability the committee consists of no teachers on the 1st selection = }\frac{10}{17}[/tex][tex]\text{The probability the committee consists of no teachers on the 2nd selection= }\frac{9}{16}\text{ }[/tex][tex]\text{The probability the committee consists of no teachers on the 3rd selection }=\frac{8}{15^{}}[/tex]Therefore,
[tex]\text{The probability the committe consists of no teacher = }\frac{10}{17}\times\frac{9}{16}\times\frac{8}{15}=\frac{3}{17}[/tex]I need assistance on understanding chapter 6 for ap stats
Answers
Answer:
A) 0.35
B) Expected value = 37.4 passengers
C) Standard deviation = 1.24 passengers
Explanation:
Part a.
The sum of all the probabilities should be 1, so we can calculate the missing probability as follows:
0.1 + 0.1 + 0.3 + x + 0.1 + 0.05 = 1
Solving for x, we get:
0.65 + x = 1
x = 1 - 0.65
x = 0.35
Then, the missing probability is 0.35
Part b.
The expected value is equal to the sum of each number of passengers multiplied by its respective probability, so:
E = 35(0.1) + 36(0.1) + 37(0.3) + 38(0.35) + 39(0.1) + 40(0.05)
E = 3.5 + 3.6 + 11.1 + 13.3 + 3.9 + 2
E = 37.4
Therefore, the expected value is 37.4 passengers
Part c.
To find the standard deviation, we first need to calculate the square of the difference between each value and the expected value, so
x (x - E)²
35 (35 - 37.4)² = 5.76
36 (36 - 37.4)² = 1.96
37 (37 - 37.4)² = 0.16
38 (38 - 37.4)² = 0.36
39 (39 - 37.4)² = 2.56
40 (40 - 37.4)² = 6.76
Then, the variance will be the sum of these values multiplied by its probability, so
Variance = 5.76(0.1) + 1.96(0.1) + 0.16(0.3) + 0.36(0.35) + 2.56(0.1) + 6.76(0.05)
Variance = 0.576 + 0.196 + 0.048 + 0.126 + 0.256 + 0.338
Variance = 1.54
Finally, the standard deviation is the square root of the variance
Standard deviation = √(Variance)
Standard deviation = √(1.54)
Standard deviation = 1.24
Therefore, the standard deviation is 1.24 passengers. and it is a measure of the dispersion, it says how far are the numbers from the mean.
Then, the answers are:
A) 0.35
B) Expected value = 37.4 passengers
C) Standard deviation = 1.24 passengers
The volume of a rectangular prism is 2 x cubed + 9 x squared minus 8 x minus 36 with height x + 2. Using synthetic division, what is the area of the base?
2 x cubed + 13 x squared + 18 x
2 x cubed + 5 x squared minus 18 x
2 x squared + 13 x + 18
2 x squared + 5 x minus 18
Answers
Answer:
2 x squared + 5 x minus 18
Step-by-step explanation:
Hope this helps sorry if not right
Answer: D
Step-by-step explanation: EDGE
I need help on this showing step by step work
Answers
Solution
Notice that we have two solid shapes and we want to find the surface area of the composite.
We have a triangular prism on a cuboid.
Note: Formula For Finding the Surface Area Of A Cuboid
[tex]Surface\text{ }Area=2(lw+lh+wh)[/tex]From the question, we have that
[tex]\begin{gathered} Length(l)=12cm \\ Width(w)=4cm \\ Height(h)=14cm \end{gathered}[/tex]The area will be
[tex]\begin{gathered} Surface\text{ A}rea=2(lw+lh+wh) \\ \\ Surface\text{ A}rea=2(12(4)+12(14)+4(14)) \\ \\ Surface\text{ A}rea=2(48+168+56) \\ \\ Surface\text{ A}rea=2(272) \\ \\ Surface\text{ A}rea=544cm^2 \end{gathered}[/tex]Now, we find the Area of the Triangular Prism
Note: Formula To Use
From the question, we have
[tex]\begin{gathered} b=4cm \\ h=2\sqrt{3}\text{ \lparen since the triangle is an equilateral triangle\rparen} \\ L=12cm \\ S_1=S_2=S_3=4cm \end{gathered}[/tex]Substituting we have
[tex]\begin{gathered} Surface\text{ }Area=bh+L(S_1+S_2+S_3) \\ \\ Surface\text{ }Area=4(2\sqrt{3})+12(4+4+4) \\ \\ Surface\text{ }Area=(8\sqrt{3}+144)cm^2 \end{gathered}[/tex]Therefore, the total surface area of the composite is
[tex]\begin{gathered} Surface\text{ }Area=544+8\sqrt{3}+144 \\ \\ Surface\text{ }Area=(688+8\sqrt{3})cm^2 \\ or\text{ if we want to write the answer in decimal point, we have} \\ Surface\text{ }Area=701.8564065cm^2 \end{gathered}[/tex]Seth earns $25 a day and $3 for each ticket he sells at the local theatre. Write and solve aninequality that can be used to find how many tickets he must sell in a day to earn at least $115.Solve.
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Seth earns $25 a day and also she earns $3 for each ticket he sells at the local theatre.
Therefore $25 is the independent value and $3 is the dependent value because it depends on how many tickets are sold.
We can write the next expression:
[tex]25+3x[/tex]Now, we need to make an inequality about he must sell at least $115 in a day.
The word "at least" means greater than or equal to, therefore:
[tex]25+3x\ge115[/tex]Now, let's solve the inequality:
Subtract both sides by 25:
[tex]25-25+3x\ge115-25[/tex][tex]3x\ge90[/tex]Then, divide both sides by 3:
[tex]\frac{3x}{3}\ge\frac{90}{3}[/tex]Simplify:
[tex]x\ge30[/tex]Calculate the answers. 13. An orbiting satellite is positioned 3,105 mi above the earth (rearth = 3,959 mi) and orbits the earth once every 201.3 min. Assuming its orbit is a circle, find the distance traveled in 50.0 min.
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first you will calculate the speed of the orbiting satelite
[tex]\text{speed = }\frac{dis\tan ce}{time}[/tex]distance = circumference of the of the orbit
[tex]\begin{gathered} \text{circumference = 2}\times\pi\times\text{ r} \\ r\text{ = radius of the earth + the height of the satelite above the earth} \\ r\text{ = 3105+3959 =7064mi} \end{gathered}[/tex][tex]\text{circ of the orbit = }2\text{ }\times3.142\times7064=\text{ 44390.176}[/tex][tex]\text{speed = }\frac{44390.176}{201.3}\text{ = 220.52mi/min}[/tex]distance covered in 50.0 min
distance = speed X time
[tex]\text{distance = 220.52}\times50=11026mi[/tex]the distance traveled is 11026 mi
The expression x^(3) gives the volume of a cube, where x is the length of one side of the cube. Find the volume of a cube with a side length of 2 meters.
Answers
Answer:
8 cubic meters
Explanation:
The length of one side of the cube = x
For any cube of side length, x:
[tex]\text{Volume}=x^3[/tex]Therefore, the volume of the cube with a side length of 2 meters is:
[tex]\begin{gathered} V=2^3 \\ =8\; m^3 \end{gathered}[/tex]In 3 plays the southside football team drove 10 1/2 yards . How many yards did they average in each day?
Answers
If in three plays southside football team drove [tex]10\frac{1}{2}[/tex] yards, then the number of yard they drove average in each day is [tex]3\frac{1}{2}[/tex] yards
Number matches played by southside football team = 3
Total distance they drove = [tex]10\frac{1}{2}[/tex] yards
Convert the mixed fraction to the simple fraction
[tex]10\frac{1}{2}[/tex] yards = 21/2
Number of yards they drove average in each day = Total distance they drove ÷ Number matches played by southside football team
Substitute the values in the equation
= 21/2 ÷ 3
= 21/2 × (1/3)
= 7/2 yards
Convert the simple fraction to the mixed fraction
7/2 yards = [tex]3\frac{1}{2}[/tex] yards
Hence, if in three plays southside football team drove [tex]10\frac{1}{2}[/tex] yards, then the number of yard they drove average in each day is [tex]3\frac{1}{2}[/tex] yards
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The illustration below shows the graph of y as afunction of xComplete the following sentences based on thegraph of the function.(Enter the x-intercepts from least to greatest.)* This is the graph of a (nonlinear, linear orconstant) function.* The y-intercept of the graph is the function value y = ___.The x-intercepts of the graph (in order from leastto greatest) are located at x = ___ and x = ___.* The greatest value of y is y = ___ and it occurswhen x = ___.* For x between x = 2 and x = 6, the function value y (<, 2, or =) 0.
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* This is the graph of a (nonlinear, linear or constant) function.
Answer:
This is the graph of a nonlinear function (In this case it is a quadratic function).
--------------------------------------------------------------------------------------
The y-intercept of the graph is the function value y =
Answer:
From the graph we can conclude that, the y-intercept is:
[tex]y=-6[/tex]----------------------------------------------------------------------------
The x-intercepts of the graph (in order from least to greatest) are located at x = ___ and x = ___.
Answer:
From the graph, we can conclude that the x-intercepts are located at:
[tex]\begin{gathered} x=2 \\ and \\ x=6 \end{gathered}[/tex]----------------------------------------------------------------------
The greatest value of y is y = ___ and it occurs
Answer:
From the graph, we can see that the vertex of the function is:
[tex]\begin{gathered} y=2 \\ when \\ x=4 \end{gathered}[/tex]----------------------------------------------------------------
For x between x = 2 and x = 6, the function value y is.
Answer:
For those values, y is always greater than or equal to 0, so:
[tex]2\le x\le6\to y\ge0[/tex]if you can tee the picture well please tell me
Answers
Since they give us the equation they have gotten for the line of best fit, we use it to estimate what thye answer is when x = 25:
Use:
y = 1.708 x - 4.011
then when x = 25:
y = 1.708 (25) - 4.011
y = 38.689
I don't read if the want you to round the answer to a given number of decimals, but if you try exactly the number we got (with the three decimals) that would be the most exact.
Simplify the expression.9n+ 18(2n-6)
Answers
The given expression is,
[tex]\begin{gathered} 9n+18(2n-6) \\ 9n+36n-108 \\ \\ 45n=108 \end{gathered}[/tex]i need these answered , i am very confused The options for them are:constant rational square root exponential growth cube root linear absolute value cubic logarithmic quadratic
Answers
Based on the question and the options provided, we have that:
[tex]7)\text{ The name of the parent function for g(x) = 3}\sqrt[]{x}\text{ is a square root}[/tex][tex]8)\text{ The name of the parent function for f(x) =}2^{x^{}}+5\text{ is exponential growth}[/tex][tex]9)\text{ The name of the parent function for f(x)=}\frac{5}{4}\sqrt[3]{x}\text{ is cube root}[/tex][tex]10)\text{ The name of the parent function for h(x) =}8x\text{ is linear}[/tex][tex]11)\text{ An example of an absolute value equation is: y = }\lvert x+5\rvert-3[/tex]Solve for y.
|6y + 12| = -18
Answers
Answer: y=-5
Step-by-step explanation:
12-12=0
-18-12=-30
6y=-30
y=-5
If the statement is true, type true in the space provided. If it is false, replace the underlined word(s) with the word(s) that will make the statement true.
Answers
The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.
In general, the following surds are conjugate to each other:
[tex](x\sqrt{a}+y\sqrt{b})\text{ and \lparen}x\sqrt{a}-y\sqrt{b})[/tex]Therefore, the conjugate of the surd:
[tex](5-\sqrt{7})[/tex]will be:
[tex](5+\sqrt{7})[/tex]The statement is true.
The graph of y=-2 is is transformed to become y=√2+3-2 Which of the following statements best describes the effect this transformation has on the graph of y=√CA The graph is translated 2 units right and 5 units up.C. The graph is translated Sumits left and 2 units up.OC. The graph is slated Sumits left and 2 units down.C. The graph is translated 2 unitsSunits down.
Answers
We know that transformations on functions are given by:
Now, we notice that we get the second function if we perform the following things:
Add 5 to the radicand.
Subtract 2 to the whole function.
Comparing this with the table above we conclude that this transformation is described bt:
The graph is translated 5 units to the left and 2 units down.
Therefore, the answer is B
Type a counter example that would have to exist in order for the conclusion to be false.5>0,6> 0.12 > 0,16 > 0,20 > 0,100 > 0.Conclusion: All numbers are greater than 0.Counterexample: ?
Answers
Here, we want to give a counter example which would exist to make the conclusion wrong.
To do this, we have to get the values which are in actual terms lesser in value to zero. These values include the negative integers i.e negative whole numbers. On the number line, these values exist before zero, to the left handside of the number line.
Examples of these values include -5, -4 , -3 , -2 etc
So the counter example can be in the form;
-3 < 0 , -5 < 0 , -2 < 0
With these set of examples, we have made the conclusion false.
Ashlynn is trying a low-carbohydrate diet. She would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:460 < 2x + 10 and 2x + 10 < 660Solve for x in the inequality, and explain what the answer represents
Answers
To find:
The value of x.
Solution:
The given compound inequalities are 460 < 2x + 10 and 2x + 10 < 660. Solve each separately to get the interval in which the value of x lies.
[tex]\begin{gathered} 460<2x+10 \\ 460-10<2x \\ 450<2x \\ 225225 \end{gathered}[/tex][tex]\begin{gathered} 2x+10<660 \\ 2x<650 \\ x<325 \end{gathered}[/tex]So, from the above calculation, we have obtained that x is greater than 225 and less than 325. So, the answer is (225, 325).
The answer represents that the amount of carbs is between 225 grams and 325 grams.
Danica made $319 babysitting last month in that might she babysitted for total of 29 hours how much money did Danica make per hour
Answers
Answer:
Explanation:
From the question, we are told that Danica
help in this question pls
Answers
If f(x) = 2x+3, what is f(-2)
Answers
Answer: f(-2) = -1
Step-by-step explanation:
2x + 3
2(-2) +3
-4 + 3
-1
Answer:
Step-by-step explanation:
you plug in the -2 to the equation for x
f(-2)= 2(-2)+3
f(-2)=-1