Answer:
[tex]a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3[/tex]
Step-by-step explanation:
[tex]y \ is\ inversely \ proportional \ to \ square \ of \ x \ means , y \ \alpha \ \frac{1}{x^2}[/tex]
[tex]Therefore, y = k \times \frac{1}{x^2}[/tex]
Given y = 48, x = 1/2. We will find k.
[tex]y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12[/tex]
Find x.
[tex]y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} = \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2[/tex]
Find the polynomial of least degree to be added to 6x^2+8x^3+17x^2+12x+7 so that 3x^2+4x+1 is a factor. Class ten questions
What is the domain of the function f/x )= √ 4 X²?
The domain and range of function Y = 4x² are:
Domain: (-∞, ∞) {x | x ∈ R}
Range: [0, ∞) {y | y ≥ 0}
Now, According to the question:
What are the domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
We have,
Y = 4x²
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation: (-∞, ∞)
Set-Builder Notation: {x | x ∈ R}
The range is the set of all valid y values: [0, ∞)
Set-Builder Notation: {y | y ≥ 0}
Hence, the domain and range of function Y = 4x² are:
Domain: (-∞, ∞) {x | x ∈ R}
Range: [0, ∞) {y | y ≥ 0}
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The complete question is this:
What is the domain of the function Y = 4x²
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
third law of motion
Step-by-step explanation:
i learned this in the beginning of seventh grade !
Answer:
the 2nd law of motion is the answer. Because as the ball continues to move another force must be applied for the ball to stop in motion.
What is an equation of the line that passes through the points (-4, -1) and (6, -1)
Answer:
y = -1
Step-by-step explanation:
In a sense this is a trick question. Notice that the y-coordinates of these two points are the same: -1. That tells us that the line is a horizontal one with equation y = -1. Nothing further to do here.
does anyone know the answer to this??
Answer:
10 4/15
Step-by-step explanation:
(4+5)+(2/3+3/5)
9+(2/3+3/5)
9+19/15
9+1 4/15
10+4/15
10 4/15
What is the mode? 22, 7, 22, 1, 7, 18, 18, 16, 6, 6, 7
Answer:
7
Step-by-step explanation:
Put them in L to G
1 6 6 7 7 7 16 18 18 22 22
and u see how many times 7 repeated den all numbers.
The mode is the [tex]MOST[/tex] [tex]FREQUENTLY[/tex]occurring value in a distribution, Hence, the mode of the data is [tex]7[/tex]
[tex]VALUES - - FREQUENCY\\22 - - - - - - - - - - - 2\\7 - - - - - - - - - - - - 3\\1 - - - - - - - - - - - - 1\\18 - - - - - - - - - - - 2\\16 - - - - - - - - - - - 1\\6 - - - - - - - - - - - - 2\\\\HENCE,[/tex]
The value 22 has a frequency of 2 The value 7 has a frequency of 3 The value 1 has a frequency of 1 18 has a frequency of 2 16 has a frequency of 1 6 has a frequency of 2The [tex]MODE[/tex] of the distribution is [tex]7[/tex]
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The difference of 5 times a number and 3 times that same number is 16.
Which of the following is the equation of the statement above?
5x - 3x = 16
5x + 3x = 16
5x - 3 = 16
5 - 3x = 16
Answer:
5x - 3x = 16
Step-by-step explanation:
Andrea has 3 tiles.
One is a regular octagon, one is a regular pentagon and one is a regular pentagon.
Andrea thinks 3 tiles will fit together perfectly.
Show calculations to show that she is wrong.
Step-by-step explanation:
We are going to start by working out the interior angles so first of all to work out the interior angle we used the formula: num of sides - 2 * 180 for the sum of degrees in a shape.
Lets test this formula.
Lets say we have a square it has 4 sides 4-2 = 2 *180 = 360 this is correct,meaning we can trust this formula.
Now lets put it to use.
Octagon has 8 sides - 2 = 6.
6 * 180 = 1080
Pentagon has 5 sides - 2 = 3
3 * 180 = 540
Another Pentagon 5 sides - 2 = 3
3 * 180 = 540
We have to find out a single angle because it is one side that joins to the other, also if it is a perfect fit then all the single angles must add up to 360.
1080/8 sides = 135 degrees
540 / 5 sides = 108 degrees
540 / 5 sides = 108 degrees
We add these up,
135 + 108 + 108 = 351 which cannot be a possible fit because we need 360 degrees.
Hope this helps
There are 8 pencils in each pack of pencils. A teacher ordered some packs of pencils. How many pencils will the
teacher receive?
Answer: The teacher will receive 96 pencils
Step-by-step explanation:
1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)
Select all the as that inequalities that have the same solution as -4x<20
A. -x<5
B. 4x>-20
C. 4x<20
D. X<-5
E. X>5
F. X>-5
Answer:
A, B, F
Step-by-step explanation:
Divide both sides of -4x<20 by 4, and we have A
Multiply both sides of -4x<20 by -1, since -1 is a negative number, we reverse the inequality, and we have B
Multiply both sides of -x<5 (A) by -1, since -1 is a negative number, we reverse the inequality, and we have F
HELP THIS IS URGENT!!!! During a sale, a store offered a 35% discount on a camera that originally sold for $750. After the sale, the discounted price of the camera was marked up by 35%. To the nearest whole number, what percent of the original price was the price after markup?
Answer:
the percentage is 62%
Step-by-step explanation:
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3 ( DISREGARD THE ALREADY MARKED ANSWER, I DID THAT ON ACCIDENT )
Answer:
5 degrees
Step-by-step explanation:
Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.
Solve Algebraically
5x+23=7x+13
5x+10=7x
10=7x-5x
10=2x
x=5Free Ppoints And if you explain well a brainly =D
Answer:
b^4
Step-by-step explanation:
you would just subtract the variables things
b^10-b^6
subtract 10-6 and keep the b
b^4 iis the answer we are learnng these in school right now
Answer:
b^10/b^6= b^4
Step-by-step explanation:
when dividing numbers with exponents, you have to subtract the numerator's exponent by the denominator's exponent to simplify the equation.
A rectangle has an area of 7. 5m2.
One of the sides is 0. 3m in length.
Work out the perimeter of the rectangle.
The perimeter of rectangle could be 50.6 if a rectangle has an area of 7. 5 and One of the sides is 0. 3m in length.
What is Area of rectangle ?
area of rectangle could be the product of its sides that is length and breadth.
Given the area of rectangle is 7.5
one of its side, length = 0.3
let other side be x .
area = length*breadth
7.5 = 0.3 * x
x = 25
hence , other side could be 25.
perimeter of rectangle = 2 (length+breadth)
= 2 * (25+0.3)
= 2 * (25.3)
= 50.6
Hence, The perimeter of rectangle is 50.6
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PLEASE HELP ME
6.
Dom is selling pizza at Hoopfest to help him raise money to go on a road trip. He wants each topping to increase the total price at a rate of $1.25. When someone ordered a 3-topping pizza the price was $16.25. Write an equation to represent this data.
Answer:
P = 12.50 + 1.25t
Step-by-step explanation:
To find an equation to represent the price of a pizza, we need to first figure out the original price of a pizze.
Since the price is 16.25 dollars, and there are 3 toppings, each of which cost 1.25, the original price would be:
16.25 - 3(1.25) = 12.50
Thus, we can represent the cost of a pizze with toppings as:
P = 12.50 + 1.25t, where P = Price and t = amount of toppings.
Hope this helps!
In a lab experiment, 760 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 15 hours. How long would it be, to the nearest tenth of an hour, until there are 1180 bacteria present?
Answer:
9.5
Step-by-step explanation:
delta math
Eleven is 20% of what number?
55
11 = 20% × y
11 = 20/100 × y
multiply both sides by 100 and divide both sides by 20
y = 11 x 100/20
y = 11 × 100 ÷ 20
y = 55
Nora had $179 in her bank account an deposits $40 per month into her bank account. Liliana has $31 and deposits $77 per month into her account. Enter the number of months it will take for both Nora and Liliana to have the same amount of money in their accounts
Answer:
4 months
Step-by-step explanation:
y=179+40x. Equation 1
y=31+77x. Equation 2
179+40x=31+77x. Replace y from equation 1 and replace y of equation 2
148=37x
4=x
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?
<Z=<A
<B=<Y
<A=<X
<C=<Z
We know that a 90-degree clockwise rotation is the same as a 270-degree counterclockwise rotation, which means that the coordinates of each point in the original triangle BAC will be flipped across the x-axis, and then rotate 270 degrees.
We also know that a dilation at a scale factor of 2 means that the coordinates of each point are multiplied by 2.
Based on these transformations, the statement that is true is <C=<Z
In triangle BAC, point C has the same coordinates as point Z in triangle XYZ.
This because, the original point C is transformed by rotating 90 degrees counterclockwise and scaling by a factor of 2, This result in point C moving to the position of point Z.
The rest of the statements are not true based on this rotation and dilation because the coordinates of points A, B, and Y will be different from the original triangle BAC.
10. A list of data has one number: 20. What is the
mean, median, mode, and range?
Answer:
Mean: 20
Median: 20
Mode: 20
Range: 20
Step-by-step explanation:
Troy walked 85 meters. Rico walked 29 meters.
How much farther did Troy walk than Rico?
Answer:
he walked 56 more than rico
Y=6 and x=-1 parallel or perpendicular line
By plot in graph, we get Y=6 and x=-1 is perpendicular lines.
What is parallel line?Parallel lines are lines in a plane that are always the same distance apart and never intersect. They are coplanar lines that do not intersect each other, and they have the same slope.
What is perpendicular line?Perpendicular lines are lines that intersect at a right angle (90 degrees). In other words, they are lines that are at a 90-degree angle to each other. The slope of perpendicular lines are opposite reciprocals of each other, meaning that if one line has a slope of m, the other line will have a slope of -1/m.
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5/6 long division from math
Answer: 0.8333
Step-by-step explanation:
Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs. Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points) Part B: How much time does Jackie spend running every day
Jackie spends 15 minutes running every day.
Part A: The relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day can be represented by the following pair of linear equations:
Equation 1: x + y = 55 (This equation represents the total amount of time Jackie spends running and dancing every day, which is 55 minutes)
Equation 2: y = x + 25 (This equation represents the relationship between the number of minutes Jackie runs and the number of minutes she dances, which is that she dances 25 minutes longer than she runs)
Part B: To find out how much time Jackie spends running every day, we can substitute the second equation into the first equation:
x + (x + 25) = 55
2x + 25 = 55
2x = 30
x = 15
Therefore, Jackie spends 15 minutes running every day.
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3 Points
SHORT ANSWER
Question 10
What is the area of the regular polygon shown below?
8 cm
Answer using complete sentences and include all relevant calculations.
H.
Answer:
[tex]12 \sqrt{6} [/tex]
Step-by-step explanation:
If each side of the regular hexagon measures 8cm then the area of the given hexagon is 96√3 square centimeters. 96√3 simplified is 12√6.
I need help with this math problem if u out a link I’ll report u but if u giv a good answer I’ll mark as brainliest
Answer:
1. MAD for Jada's data set = 1
Step-by-step explanation:
Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value
Jada's data set is given as: 4, 4, 4, 6, 6 ,6
Mean = 5
✔️Find the distance between each data value form the mean
4 = |4 - 5| = 1
4 = |4 - 5| = 1
4 = |4 - 5| = 1
6 = |6 - 5| = 1
6 = |6 - 5| = 1
6 = |6 - 5| = 1
✔️Find the sum of the distances of each data value from the mean
1 + 1 + 1 + 1 + 1 + 1 = 6
✔️Find the MAD:
MAD = 6/6
MAD = 1
Simplify.
8-3(4-2x)
i’ll mark brainliest :)
Answer:
-4 + 6x.
Step-by-step explanation:
8 - 3(4 - 2x)
= 8 - 12 + 6x
= -4 + 6x.
The correct answer is 6x - 4
Simplify :
8 - 3(4 - 2x)
8 - (12 - 6x) (using BODMAS rule)
8 - 12 - (-6x)
( 8 -12) + 6x
-4 + 6x
= 6x - 4
Write two expressions (with at least two terms each) that when added together have a sum of -4n 6.
On solving the provided question, we can say that the sum of the two expressions will be -4n + 6
what is expression ?It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression) A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)It is possible to compare expressions and phrases.
Expression, Number/Variable, and Mathematical Operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
let the two expression be
-4nand 6 and the sum will be -4n + 6
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answer to this please
Answer:
Sue travels for 3 hours and a half
Sue stays stationary for 2 hours and a half
Step-by-step explanation:
Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.
Sue spends 3.5 hours on travelling and 2.5 hours stationary.
What is distance-time graph?It is a graph which shows how far an object has travelled in a given time.
What is a stationary graph?It is graph of function which represents there is no change in the function value or the function value is constant.
What is change in value?"subtract old value from new value."
For given example,
Given distance-time graph represents a journey made by Sue.
Let 't' represents the travelling time and 's' represents the stationary time.
If we observe the graph,
from 2 pm to 3 pm Sue travelled 5 miles
⇒ t1 = 3 - 2
⇒ t1 = 1 hour
from 3.5 pm to 4 pm she travelled 10 miles
⇒ t2 = 4 - 3.5
⇒ t2 = 0.5 hour
from 5 pm to 6.5 pm she travelled 15 miles
⇒ t3 = 6.5 - 5
⇒ t3 = 1.5 hours
from 7.5 pm to 8 pm she travelled 5 miles
⇒ t4 = 8 - 7.5
⇒ t4 = 0.5 hour
So, the total travelling time would be,
⇒ t = t1 + t2 + t3 + t4
⇒ t = 1 + 0.5 + 1.5 + 0.5
⇒ t = 3.5 hours
Also, Sue spends stationary from 3 pm to 3.5 pm
⇒ s1 = 3.5 - 3
⇒ s1 = 0.5 hour
She spends stationary from 4 pm to 5 pm
⇒ s2 = 5 - 4
⇒ s2 = 1 hour
She spends stationary from 6.5 pm to 7.5 pm
⇒ s3 = 7.5 - 6.5
⇒ s3 = 1 hour
So, the total stationary time would be,
⇒ s = s1 + s2 + s3
⇒ s = 0.5 + 1 + 1
⇒ s = 2.5 hours
Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.
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Dobra has 20 birr to Spenclon juice boxes for her son's preschool picnic. Each pack of juice boxes Corts 2.50- what is the maxiumum a numbers of packs she can buy
Using simple unitary method and with the total and per unit value provided, The answer is 8 boxes maximum can be bought.
What is unitary method?The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.
Why is unitary method important?The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.
each box costs = 2.5
total money =20
maximum that can be bought = 20/2.5 =8
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