The distance between the zeros of the equation \((2x-8)^{2}\) - 4 = 12 is 4 units.
First, we can simplify the equation \((2x-8)^{2}\) - 4 = 12 by adding 4 to both sides:
\((2x-8)^{2}\) = 16
Next, we can take the square root of both sides:
2x-8 = ±4
Solving for x in each case, we get:
2x-8 = 4: 2x = 12 → x = 6
2x-8 = -4: 2x = 4 → x = 2
So the zeros of the equation are x=6 and x=2. The distance between them is:
distance = |6 - 2| = 4
As a result, there are 4 units between zeros of the equation \((2x-8)^{2}\) - 4 = 12.
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please help with this question
select all that apply, plz help
Answer: It's C and D
Step-by-step explanation:
The reason why is because if you look at them closely your horizontal shifts both equal 2 right, your vertical shifts equal 1 up and both are being vertically stretched by 5. In your original equation your phase shift (same as horizontal shift) is 2 right. Your vertical shift is 1 up and is being stretched vertically by 5.
A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
A company bought a photocopier for R150 00 on 1 july 2022,they will use the old photocopier as a trader in when they replace it with the a similar new photocopier in 5 years time on 2027.
calculate the trade in value of the old photocopier after 5 years,if it depreciates at a rate of 9% p.a on straight line method.
Answer:
do it yourself what do you do while teacher is teaching
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
at noon, ship a is 150 km west of ship b. ship a is sailing east at 30 km/h and ship b is sailing north at 20 km/h. how fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (round your answer to three decimal places.)
At 4:00 pm, the distance between the ships changing at 9.81 km/h
In this question we hve been given that at noon, ship A is 150 km west of ship B.
Ship A is sailing east at 30 km / h and ship B is sailing north at 20 km / h, We need to determine how fast is the distance between the ships changing at 4:00 PM.
The displacement of ship A at 4pm is
= 150 km - (30 km/h * 4h)
Since A is moving away from the initial position and the distance between the two ships is decreasing.
= 140 km - 120 km
= 20 km
The displacement of ship B at 4pm would be,
20 km/h * 4h = 80 km
Using Pythagoras theorem, the resultant displacement of the two ships at 4pm would be,
r² = a² + b²
r² = 20² + 80²
r = √6800
r = 82.46 km
The rate of change of this distance is calculated as;
r² = a² + b²
2r(dr/dt) = 2a(da/dt) + 2b(db/dt)
r(dr/dt) = a(da/dt) + b(db/dt)
r = 101.98 km, a = 20 km, b = 80 km
101.98(dr/dt) = 20(-30) + 80(20)
101.98(dr/dt) = 1000
(dr/dt) = 1000/101.98
dr/dt = 9.81 km/h
Therefore, the distance between the ships changing at 9.81 km/h
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*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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which of these is the quadratic parent function
The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.
f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.
In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.
The function takes any real number as an input, squares it, and produces the corresponding output.
By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.
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A merchant has 1500 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is
Answer:
900 kg
Step-by-step explanation:
Let's assume the cost price (C.P.) of sugar is Rs. x per kg.
The total quantity of sugar is 1500 kg.
Let the quantity of sugar sold at 8% profit be represented by y kg.
The quantity of sugar sold at 18% profit would then be (1500 - y) kg.
Using the rule of alligation, we can set up the following proportion:
(8% profit) y kg
-------------- = ------
(18% profit) (1500 - y) kg
Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).
The ratio of these differences is 2:3.
This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.
Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:
(2 kg) * (3/2) = 3 kg
Therefore, the quantity sold at 18% profit is 900 kg.
3 + (-5) = -2 explain how
Answer: -2
Step-by-step explanation: When there is a + in front of an expression in parentheses, the expression remains the same. 3 - 5 calculate the difference.
what is the answer for d?
The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?
360π
720π
21,600π
43,200π
Answer:
i think c 21600pi
Step-by-step explanation:
Answer:
C. 21600π
Step-by-step explanation:
Which table of values is defined by the function y = 5x + 4?
Answer:
Graph using a table of values.
x y
-2 -6
-1 -1
0 4
1 9
2 14
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hey niy
F(x) = | sin 3x | -3 find the maximum and minimum value
Answer:
-2 and -3
Step-by-step explanation:
The minimum of |sin 3x| is 0 and the max is 1 (since the sine function ranges from -1 to 1)
Therefore, the maximum is 1 - 3 = -2 and the minimum is 0 - 3 = -3.
Right triangle ABC is shown.
Which equation can be used to solve for c?
Answer:
\(\sin(50^\circ)=3/c\)
Step-by-step explanation:
Remember SOH/CAH/TOA. We will use SOH, which means \(\sin\) of the angle is equal to the opposite side over the hypotenuse.
5(9-x)/3 +1 less than 11
find x
Answer:
x > \(\frac{1}{5}\)
Step-by-step explanation:
\(\frac{5(9-x)}{3+1}<11\)
Add 3 and 1 to get 4.
\(\frac{5(9-x)}{4}<11\)
Use the distributive property to multiply 5 by 9−x.
\(\frac{45-5x}{4}<11\)
Subtract 45/5 from both sides.
\(-\frac{5}{4}x<11-\frac{45}{4}\)
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
\(-\frac{5}{4} x<-\frac{1}{4}\)
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
\(x>-\frac{1}{4} (-\frac{4}{5} )\)
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
\(x>\frac{-(-4)}{4 x 5}\)
\(x>\frac{1}{5}\)
Please help I will mark BRAINLIEST
Answer:
The area is 7986m^2
Step-by-step explanation:
But the real thing u would say is the area is 7986.<3
Answer:
The answer would typically be 7986m^2 !.
Jada paints a circular table that has a diameter of 44 inches. What is the area of the table? Round to the nearest whole number!!!
What is the symptoms of cancer
Answer:
-Fatigue
-An area of the skin where you can feel a lump underneath or thickening.
-Weight changes suddenly, either losing or gaining.
-Persistent cough or trouble breathing.
-Changes in bladder habits.
Step-by-step explanation:
Hope this helps.
Using the region names in the image below, select all regions that represent:
A ∩ B' ∩ C'
3 group Venn Diagram with Roman numeral labeled regions
A intersection not B intersection not C. Region I: Items only in group A, not in B or C. Region II: Items in A and B, but not C. Region III: Items only in B, not in A or C. Region IV: Items in A and C, but not B. Region V: Items in A, B, and C. Region VI: Items in B and C, but not A. Region VII: Items only in C, not in A or B. Region VIII: Items not in any of the groups.
Answer:
region I
Step-by-step explanation:
Based on the description given, the regions that represent A ∩ B' ∩ C' are:
Region I: Items only in group A, not in B or C. (A intersection not B intersection not C)
These regions fulfill the condition of being in group A (A) and not in group B (B') and not in group C (C') simultaneously.
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Segment MP is tangent to circle O. Find the length of the radius of circle O.
R = 10.5
Step-by-step explanation:
Using Pythagorean theorem, we can write
(OM)^2 + 10^2 = (OR + 4)^2
Since OM = OR, let's call this segment R for brevity.
R^2 + 10^2 = (R + 4)^2
R^2 + 100 = R^2 + 8R + 16
This simplifies to
8R = 84
or R = 10.5
I want to solve for x
Answer:
x = \(\frac{A*t^2}{800}\)
Step-by-step explanation:
First move t² to the left side by multiplying it.
A×t² = 800x - to get rid of 800, we divide both sides by 800. This isolates x.
x = \(\frac{A*t^2}{800}\)
what is the volume of 10in and 12in?
Help pls!! I’ll give points and brainliest!!!
Evaluate the expression, writing the result as a simplified complex number.
To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.
\frac{(2+i)(4-2i)}{1+i}
The simplified expression involving complex numbers is given as follows:
5 + 5i.
What are complex numbers?Complex numbers are number that have a real and an imaginary part, and are defined as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The basic relation of complex numbers is given as follows:
i² = -1.
The fraction for this problem is given as follows:
(2 + i)(4 - 2i)/(1 + i).
The numerator is simplified as follows:
(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.
Hence the fraction is of:
10/(1 + i).
To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:
10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.
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Give 3 names for x intercepts of a quadrants equation
Answer:
Zeros
Roots
Solution (Set)
Step-by-step explanation:
As you can tell there are a handful of different names!
Sydney says that altogether they have placed 2/3 of the eggs into Tanks A and B. Is Sydney correct?
-1/6 of the eggs into Tank A
-4/9 of the eggs into Tank B
Answer:
Sydney is incorrect
Step-by-step explanation:
We cannot start adding Tanks A and B because they have a different denominator.
So we have to find the Least Common Denominator (LCD)
The LCD is 18 so...
\(\frac{2}{3} =\frac{12}{18}\)
I'm sorry I gtg to class...
54 is what percent of 24?
Enter your answer in the box.
I did my work and got the answer but I am just checking. I will give 18 points.
Answer:
225%
Step-by-step explanation:
54 = 24 of x
54 = .24x
Divide both side by the same number
54/.24 = .24x/.24
= 225%
[RevyBreeze]
fridays high temp was -1. the low temp was -5. what was the difference between the high and low temps
Answer:
4
Step-by-step explanation:
count up from -5 to -1
so -5,-4,-3,-2,-1 and there are four numbers excluding-5