The monthly take-home pay is $2240.83.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To calculate the monthly take-home pay, we need to first find the annual take-home pay and then divide by 12 (since there are 12 months in a year).
We are given that the take-home pay is $1034.65 every two weeks, which means the total take-home pay for a year can be calculated as follows:
annual take-home pay = 1034.65 * 26 = 26889.9
Next, we divide the annual take-home pay by 12 to get the monthly take-home pay:
monthly take-home pay = 26889.9 / 12 = 2240.825
Rounding this to the nearest cent, we get:
monthly take-home pay = $2240.83
Therefore, the monthly take-home pay is $2240.83.
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What is the perimeter of the quadrilateral if the two triangles are congruent using SSS
Answer:
20 units (I used units because that's what i was taught when there isn't a specific unit)
Step-by-step explanation:
If the triangles are congruent, that means that everything is congruent/the same. So what we do is, we set both equations equal to each other.
6x - 3 = 4x + 9
And now we simplify.
6x - 3 = 4x + 9
-4x -4x
--------------------
2x - 3 = 9
+3 +3
-------------------
2x = 12
÷2 ÷2
---------------
x = 6
To find the perimeter, just multiply 6 by 4 since there's four sides. 6 x 4 = 20
I need help please lol
Answer:
The answer is C, (12, -1).
Step-by-step explanation:
x - 2y = 141/2x - y = 7y = 1/2x - 7x + 3y = 91/3x + y = 3y = -1/3x + 3How do you divide with a decimal if the number doesn’t go into it?
For example,
12 divided by 3.32
What expression is equivalent to (5z^2+3z+2)^2
please answer quick
Answers:
By
-5z^4+3z^2+4
-5z^3+9z^2+4
-25z^4 + 30z^3 + 19z^2 + 12z + 4
-25^4 + 30z^3 + 29z^2 + 12z + 4
b it is b sorry if it is wrong
The value of equivalent expression is,
⇒ 25z⁴ + 30z³ + 29z² + 12z + 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (5z² + 3z + 2)²
Now, We get;
⇒ (5z² + 3z + 2)²
⇒ 25z⁴ + 9z² + 4 + 30z³ + 12z + 20z²
⇒ 25z⁴ + 30z³ + 29z² + 12z + 4
Thus, The value of equivalent expression is,
⇒ 25z⁴ + 30z³ + 29z² + 12z + 4
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I need help with this please
Answer:
250x^3 - 500x^3i
Step-by-step explanation:
We have a = 5x
b = 2 - 4i
Now,
= a^3b
= (5x)^3(2 - 4i)
= 125x^3 (2 - 4i)
= 250x^3 - 500x^3i
Steve Conway wants his team to win more than 57 games this year. His team has already won 2 games this season and there are 5 more months to play. Based on his goal, how many games must his team win per month? Write answer as an inequality.
Answer:
11
Explanation:
Because 57 minus 2 games already equals 55, so 55 games divided by 5 months equals 11, so 11 games each month will get u to 57.
The number of games must his team win per month will be;
⇒ x > 11
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Steve Conway wants his team to win more than 57 games this year.
And, His team has already won 2 games this season and there are 5 more months to play.
Now,
Let number of games must his team win per month = x
So, We can formulate the inequality as;
⇒ 5x + 2 > 57
Solve for x as;
⇒ 5x > 57 - 2
⇒ 5x > 55
⇒ x > 11
Thus, The number of games must his team win per month will be;
⇒ x > 11
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Find the measure of the missing angle
Answer:
a = 151 degrees
Step-by-step explanation:
180 - 29 = 151
Answer:
151
Step-by-step explanation:
180 -29 = 151
Joey mows his neighbors lawns and earns $31.50 in 7 hours. How much does he make in 17 hours?
Answer:The blouse was 28 dollars.
Step-by-step explanation:
Find the inverse of the function f(x)=x^3 +4
Answer:
Step-by-step explanation:
switch the x and f(x) values
x=y^3+4
subtract4
x-4=y^3
cube root
cube root(x-4)=y
Please help if possible due in 20 minutes ❤️❤️❤️❤️ thank you so much
Answer:
A
Step-by-step explanation:
The town A is symmetric the town B i skrewed positevly
I hope I helped and have a a great dayyyy
Answer:
(D)
Step-by-step explanation:
The answer is (D).
Solve Each Equation
5. -8(5+4x)=-232
6. -84=4(4r+7)
Step-by-step explanation:
5.[tex] - 8(5 + 4x) = - 232[/tex]
[tex] - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6[/tex]
6.[tex] - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7[/tex]
Hope this helps you
HLEPP PLEASEEEEEEEE hsnsnansh
It’s a do now, which means it’s DUE NOW. Please help!!
Answer:
113
Step-by-step explanation:
gsfhvxryjbvyghkf
Answer:
113.04 square miles or
113 square miles approximately
Step-by-step explanation:
A=π*r^2
r=6 mile
A=π*6^2
A=π*36
we know that π=3.14
so
A=3.14*36
A=3.14×36=113.04 square miles
Find volumeof right circular cone having base radius 14cm and slant height 14.8cm.
Answer:
The cone has a volume of approximately 982.5 cubic centimetres.
* That answer sounds off to me, but I'm not sure. You might want to run through the logic yourself and see if you get the same results.
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and base radius. In other words:
[tex]v = \pi r^{2} \frac{h}{3}[/tex]
But before using that, we need to know the value of h, height. What we are instead given is the slant height, or the length from tip to edge.
We can use that slant height along with the base radius to get the cone height, as the three of them are the edges of a right triangle, with slant height being the hypotenuse.
To get the height then we can say
[tex]h = \sqrt{s^{2} - r^{2}}[/tex]
Where h is height, s is slant, and r is radius.
[tex]h = \sqrt{14.8^{2} - 14^{2} }[/tex]
[tex]h = \sqrt{219.04 - 196}[/tex]
[tex]h = \sqrt{23.04}[/tex]
[tex]h = 4.8[/tex]
A very squat cone indeed.
Now we can plug that and the radius into the actual cone equation:
[tex]v = \pi (14cm)^{2} \frac{4.8cm}{3}\\= \pi 196cm^2 * 1.6cm\\\approx 985.2 cm^3[/tex]
Please help I will mark you brainlist
Question is
"Antonio knows that a antenna that is 16 meters tall casts a shadow that is 30 meters long. He wants to calculate the height of a nearby utility pole. If its shadow is 45 meters long, how tall is the utility pole?"
Write your answer as a whole number or a decimal. Do not round.
SHOW ME YOUR WORK IF POSSIBLE
When the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.
How to illustrate the information?It should be noted that from the information, Antonio knows that a antenna that is 16 meters tall casts a shadow that is 30 meters long and he wants to calculate the height of a nearby pole.
Let the height be x.
Therefore, this will be illustrated as:
16 / 30 = x / 45
Cross multiply.
30 × x = 45 × 16
x = (45 × 16) / 30
= 24
Therefore, when the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.
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The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?
Answer:
70%
Step-by-step explanation:
GUYS PLEASE I REALLY NEED HELP IM NOT ABLE TO SPEND TIME WITH MY FAMILY WHILE THEIR HERE PLEASE:(
i need help with this
Answer:
Step-by-step explanation:
Slope is 1.5
Y intercept is (0,1) A
Equation y = (3x/2) + 1 = 1.5x + 1A
What does it mean by another solution?
If it means the other way to do slope (y=mx+b)
b=4−(3/2) * 2 = 1
The answer is still y=(3x/2)+1
Let z = 1(cos(pi/12)+isin(pi/12)) and w=7 (cos(pi/22)+isin (pi/12)) what is zw
Answer:
D
Step-by-step explanation:
Answer:
IT'S BBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
edge2021 ;)
HELP ASAP
suppose the fee is 7.5% of the selling price. determine the total cost of the game(fee included) original cost of the game is $76.
show your work
Answer:
Original Cost: $76
Fee: 7.5%
Take 7.5% of 76 (76 times .075) and add the result to the original amount $76
So, 76 times .075= 5.7
5.7+76= 81.7
Step-by-step explanation:
find all values of x in the interval [0, 2????] that satisfy the inequality. (enter your answer using interval notation.)9 sin(x) ≤ 92
The values of x in the interval [0,2π] are given by:
[tex]\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}[/tex]
What is the principal and general value of trigonometric ratios?The answers are known as principal solutions if the problem contains the variable 0 ≤ x < 2π. A general solution to a trigonometric equation is one that involves the integer "n" and provides all possible solutions.Given: 9 sin (x) [tex]\leq \frac{9}{2}[/tex]
To find: Values of x in the interval [tex][0,2\pi][/tex].
Finding:
As 9 sin (x) [tex]\leq \frac{9}{2}[/tex],
=> [tex]sin(x)\leq \frac{1}{2}[/tex]
As, [tex]sin (\frac{\pi}{6})=sin(\frac{1}{2})[/tex],
=> [tex]sin(x)\leq sin(\frac{\pi}{6})[/tex]
=> [tex]x\leq \frac{\pi}{6}[/tex], i.e., the principle value of x.
As sin (x) = sin (π - x), [tex]\pi -x\leq \frac{\pi}{6}[/tex]
=> [tex]\pi -\frac{\pi}{6}\leq x[/tex]
=> [tex]\frac{5\pi}{6}\leq x[/tex]
Hence, the values of x in the interval [0,2π] are given by:
[tex]\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}[/tex]
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i need help finding the missing angles
Answer:
1 = 120
2 =60
3= 120
4= 60
5= 120
6= 60
Step-by-step explanation:
angles in a straight line add upto 180
the total angles in a triangle is 180.
Answer:
BOOMDELAKAKAK
Step-by-step explanation:
EGEHSSSSSSS
subtract and simplify. (−y2−3y−5)−(−3y2−7y 4) 2y2 4y−9 2 y squared plus 4 y minus 9 2y2−10y 4 2 y squared minus 10 y plus 4 2y2−7y−9 2 y squared minus 7 y minus 9 −2y2−10y−1 negative 2 y squared minus 10 y minus 1 skip to navigation
The final expression after simplifying
[tex](-y^2-3y-5) - (3y^2-7y+4)-(2y^2+4y-9)-(2y^2-10y+4)-(2y^2-7y-9)-(-2y^2-10y-1)[/tex]
is [tex]\bold{-8y^2+27y+6}[/tex].
The given expression is
[tex](-y^2-3y-5) - (3y^2-7y+4)-(2y^2+4y-9)-(2y^2-10y+4)-(2y^2-7y-9)-(-2y^2-10y-1)[/tex]
We will solve this step-by-step. Also remember that (a -b) = -(b -a), when
a < b and -a-b = -(a + b)
So first solving by subtraction,[tex](-y^2-3y-5)-(3y^2-7y+4)=-y^2-3y-5-3y^2+7y-4= -4y^2 +4y-9[/tex]
Next, [tex]-4y^2+4y-9 -(2y^2+4y-9)=-4y^2+4y-9-2y^2-4y+9=-6y^2[/tex]
i.e., [tex]-6y^2-(2y^2-10y+4) = -8y^2+10y-4[/tex]
which gives, [tex]-8y^2+10y-4-(2y^2-7y-9)=-10y^2+17y+5[/tex]
And finally,[tex]-10y^2+17y+5-(-2y^2-10y-1)=\bold{-8y^2+27y+6}[/tex]
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Help pls very important!!!.
Answer:
Question 5: Reduction. 1/3
Question 6: Dilation. 2.5
Step-by-step explanation:
In 5 it's getting smaller, and it was 1/3 the size
In 6 it's getting bigger, and it was 2.5 times the size
pls brainliest :D
Help me, im stuck rn
Answer:
You got it right! Keep it up! :)
Hi buddy plz answer 2+2 for 50 points
Answer:
4.
or fish
Step-by-step explanation:
thank you.
Answer:
4
Step-by-step explanation:
i hope this helped you ;)
thank you
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10). Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x + 4| – 10 g(x) = |x – 10| + 4 g(x) = |x + 10| – 4
Answer:
b or g(x) = |x + 4| – 10
Step-by-step explanation:
Answer:
B) g(x) = |x + 4| – 10
Hope This Helps!
select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
X to the 6th power -x/4y
A.
1,023/4
B.
1,023
C.
1,025/4
D.
16,385/4
The required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
when x = -4 and y = 4.
Expression = x⁶ - x/4y
Put x = -4 and y = 4.
= (-4)⁶ - [-4 /(4×4)]
= 4096 + 1/4
= 16385/4
Thus, the required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.
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Alyssa is lling a large bucket with water. She lls a 1-liter container with water and then dumps it into the bucket. If the bucket holds 5 gallons of water, how many 1-liter containers will it take to fill the bucket? 1 liter ≈ 0.264 gallon; 1 gallon ≈3.785 liters