You are filling up a water balloon at a rate of 30pi cm^3sec. How fast is the radius of the balloon increasing when the radius is 2cm

Answers

Answer 1

The fast of the radius of balloon increasing is 480 cm³ / sec.

How do you calculate speed?If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.When figuring out test problems, the triangle might help you recall the formula more quickly. You may recall the three formulae with the aid of the triangle: Speed is calculated as Distance x Time.The result will be expressed in miles per hour (mph, mi/h), and so on for km/h, m/s, etc., if the distance was measured in miles and the duration in hours.Simple division of time by distance yields the equation for speed. To calculate speed, divide the distance travelled (say, 3 metres) by the passing time (say, three seconds) (one metre per second)

Given data :

V = [tex]\frac{4}{3}[/tex] π r³

we know [tex]\frac{dr}{dt}[/tex] = 30 cm/ sec

we want [tex]\frac{dV}{dt}[/tex] when r = 2cm

Differentiate V = [tex]\frac{4}{3}[/tex] π r³ implicitly with respect to t

[tex]\frac{dV}{dt}[/tex] (V) = [tex]\frac{dr}{dt}[/tex] ( [tex]\frac{4}{3}[/tex] π r³ )

[tex]\frac{dV}{dt}[/tex] = [tex]\frac{4}{3}[/tex] π x 3r² [tex]\frac{dr}{dt}[/tex] = 4 π r² [tex]\frac{dr}{dt}[/tex]

Plug in what you know and solve for what you don't know.

[tex]\frac{dV}{dt}[/tex] = 4π ( 2 )² ( 30 / sec ) =

= 120 x 4 .π cm³ / sec

= 480 cm³ / sec

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Related Questions

The function f(x) = x² +1 has a minimum at what coordinate point (x, f(x))? See the graph below.

Answers

Answer:

(0,1)

Step-by-step explanation:

Refer to the attached image.

Find the inverse of the function f(x) = 2÷3x -6

Answers

Answer:

  f⁻¹(x) = 3/2x +9

Step-by-step explanation:

You want the inverse of the function f(x) = 2/3x -6.

Inverse function

The inverse function can be found by solving for y:

  x = f(y)

Here, that is ...

  x = 2/3y -6

  x +6 = 2/3y . . . . . . . . . . . . . . add 6

  y = 3/2(x +6) = 3/2x +9 . . . . multiply by 3/2

The inverse function is f⁻¹(x) = 3/2x +9.

__

Additional comment

Sometimes the division symbol ÷ is used to mean "divided by everything after this symbol." If that is the intended meaning, the function should be written as f(x) = 2/(3x -6) or f(x) = 2÷(3x -6).

We have interpreted the symbol according to the order of operations, which tells us that 2÷3x-6 means ((2÷3)·x)-6.

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“what is the slope of the line that passes through the points (5,8) and (11,5)? write the answer in simplest form “ please help with that

Answers

As per the given points in the question, the slope in the simplest form will be equal to 0

What is the slope of the line?

Using two of the points on the line you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise and the horizontal change is called the run. The slope equals the rise divided by the run.

Here the given points are (−5,8) and (−11,8)

Hence the required slope of the line is

=   8     -       8

     11 -  [ - 5 ]

=      0      

 - 11 + 5

=        0    

        - 6

= 0

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The Measures of two sides of a triangle are 12 and 13. Use an inequality to express the range of the measure of the third side, m.

A. 1 < m < 15
B. 1 < m < 25
C. 12 < m < 25
D. 0 < m < 11

Answers

The required inequality expression for the third side is 1 < m < 25. The correct option is (B).

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The sides of the triangle are given as 12 and 13 units respectively.

As per the rule for sides of a triangle, the third side is always less than the sum and greater than the difference of two sides.

Then, the inequality can be written as,

13 - 12 < m < 13 + 12

⇒ 1 < m < 25

Hence, the measure of third side can be written in inequality as 1 < m < 25.

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round 3.967 to the hundredth place

Answers

3.97

Find the number in the hundredth place

6 and look one place to the right for the rounding digit 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

A school is interested in the average GPA of the sophomore class. They sample 75 of the 500 sophomores, for a mean GPA of 3.26 with a standard deviation of 0.62. Calculate the margin of error to the nearest hundredth.

Answers

calculated margin of error = 0.376

What is margin of error?

It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.

margin of error can be determined by multiplying the critical value to the standard deviation.

How to calculate the margin of error?

given, mean GPA of 75 sophomores = 3.26 = Xi

standard deviation = 0.62 = s

sample number = 75 = n

total sophomores = 500

z value of the sophomores = mean / standard deviation = 3.26 / 0.62

Z value = 5.26

margin of error = Z value × standard deviation / (√number of sample)

margin of error = 5.26 × 0.62/ √ (75)

                      = 0.376

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The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

Answer:

-4,-2,2

Step-by-step explanation:

look where line reaches zero

WILL MARK BRAINLIEST: A researcher wishes to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost in the autumn, 8 of the 50 plants in group 1 exhibited damage, and 18 of the 50 plants in group 2 showed damage. Why would the use of z-procedures be questionable value in this situation?

a. We don't know whether the 10% condition has been met.
b. We don't know the standard deviation for either population.
C. d.
Individual plants were not assigned randomly to the two experimental treatments.
We cannot be sure that the Normality condition has been met.
e.
We are collecting results on the entire population of plants, so statistical inference from samples is unnecessary.

Answers

C. Individual plants were not assigned randomly to the two experimental treatments.

The use of z-procedures assumes that the groups being compared are independent and were randomly assigned. If this assumption is not met, then the use of z-procedures would be questionable. In this case, it is stated that the plants were randomly assigned to the two different groups, so this assumption would be satisfied. The other options (a, b, d, and e) do not necessarily affect the validity of using z-procedures.

What is 2 4 reflected across the Y?

Answers

The point (2, -4) is reflected across the line y = -1.

The coordinates of the image is (4, -4).

coordinates

Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space.

Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.

Numbers

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

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Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks

Answers

The amount of money saved by Andre in 40 weeks is $1280.

What is equation modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is Andre saves up the same amount of money each week.

We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -

y = mx + c

Then -

m = (288 - 224)/(9 - 7)

m = 64/2

m = 32

Now -

y = 32x + c

For the point (7, 224), we can write -

224 = 32 x 7 + c

c = 0

For {x} = 48, we can write the amount of money saved as -

y = 32 x 40

y = 1280

Therefore, the amount of money saved by Andre in 40 weeks is $1280.

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The Jackson family is planning a weekend vacation. They plan to rent a car from the ABC Car Rental Company. Let m represent the number of miles the family will drive. Let c represent the cost for renting a car. Write an equation that shows what the cost for renting a car will be.


Weekend Special: $40 + $0. 10 per mile

Answers

An equation that shows what the cost of renting a car will be: C=R+mc.

Let the rental cost = R

consider m to be the number of miles driven= m

let c be the cost per mile

And C is the total cost of renting;

Then C = R+mc

the given equation $40 + $0. 10 per mile

Now, in the above equation consider:

R =$40 ( the rental cost)

c = $0.10 ( the cost per mile)

The total cost is C = $40+$0.10m

Ex:

if m is known assume m=1000 miles

Then the total cost C = $40+($0.10/mile)(1000miles)

then  C = $40+$100=$140

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Nurse and collects trading cards how many cars come in three packages show how to use an open number line solve this problem

Answers

An open number line can be used to find the amount of cards in three packages for a nurse who collects trading cards.

The relative sizes of numbers are displayed visually on an open number line, which also enables you to execute basic arithmetic operations like addition and subtraction. We can begin by marking the number 0 on the number line to use an open number line to tackle this issue. Then, we can mark the number 3 on the number line using the information from the problem (3 packages).

The total number of cards in the deck can then be determined by counting the units on the number line between 0 and 3. The total number of cards in three packages can then be determined by counting the units on the number line between 0 and 3. If each package has 10 cards, there will be a total of 30 cards in three packages, or 3 × 10 cards. So, after purchasing three packages, the nurse will have 30 trade cards. It's vital to keep in mind that the answer is predicated on the idea that each package contains 10 cards; if the box included a different number of cards, the solution would adjust.

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50
67

1. 5−100%=minu, tart fraction, 67, divided by, 50, end fraction, plu, 1, point, 5, minu, 100, percent, equal
Enter the anwer a an exact decimal or implified fraction

Answers

The answer as an exact decimal = -0.84 and simplified fraction = −21/25.

What is simplified fraction?

Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.

When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.

Given that

-67/50 + 1.5 − 100% = ?

Lets solve

= -67/50 + 1.5 − 100%

= -67/50 + 1.5 − (100 × 0.01)

= -67/50 + 3/2 - 1

= -67/50 + 75/50 - 50/50

= (-67 + 75- 50)/50

= −42/50

= −21/25

= -0.84

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1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12

Answers

Answer:

2, cause it shows a different function or pattern

Can you solve Pythagorean theorem with only C?

Answers

The Pythagorean theorem can be solved using a C programme, therefore yes. The Pythagorean theorem states that the hypotenuse's square length of a right triangle equals the sum of the squares of its other two sides. The slope is the side that faces the right angle.

Therefore, given the lengths of the two shorter sides (a and b), the length of the hypotenuse can be calculated using the formula: c = sqrt(a^2 + b^2).

Here is an example C program that calculates the length of the hypotenuse of a right triangle given the lengths of the other two sides:

#include <stdio.h>

#include <math.h>

Above command is for library

int main() {

 double a, b, c;

Above command to initiate the variable.

  printf("enter the first side's length.: ");

 scanf("%lf", &a);

To enter the value in program

 printf("enter the second side's length.: ");

 scanf("%lf", &b);

Enter the value and print the value

  c = sqrt(a*a + b*b);

Arithmetic command

   print("The hypotenuse's length is: %lf\n", c); return 0;}

Print the value and return the program value to zero.

This program prompts the user to enter the lengths of the two shorter sides of the triangle, calculates the hypotenuse length using the Pythagorean theorem, and then prints the result.

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In the circle below, suppose m WXU= 102° and mLXWV=68°. Find the following.

Answers

In the circle below the  suppose m WXU=102° and mL XWV=68° then the following is m ZXUV = 88°.

What is cyclic quadrilateral and explain the above answer?

Four-sided shapes with all four corners on the same circle are known as cyclic quadrilaterals. A cyclic quadrilateral's internal angles are always added up to 360 degrees.

(a) m / WXU = 102° (Given)

(b) To find m ZXUV, we can use the property that the angles in a cyclic quadrilateral add up to 360°. Since WXU, XWV, and XLV are all inscribed angles that intercept the same arc, they are congruent. Therefore, m WXU = m XWV = m XLV = 102°. Adding these angles together, we have:

102° + 102° + 68° + m ZXUV = 360°

Solving for m ZXUV, we get:

m ZXUV = 360° - (102° + 102° + 68°)

m ZXUV = 88°

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I need to know the andwer to 0.03 divided by 0.81 in division of decimals

Answers

Answer: 0.0370 (Italic part repeats forever)

Step-by-step explanation:

Answer: 0.037...

Step-by-step explanation:

I need help on that soooo

Answers

Answer:

3⅛ ÷ 1⅔ = 1.9083969465648855.

Step-by-step explanation:

To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.

3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.

Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.

Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.

This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.

What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.


The slope of

6-4

The slope of

جانا جاتا

Ini

6-

The slope of

The slope of

The slopes indicate that

Therefore, quadrilateral ABCD is a

is

to

and that

is

to

AB

BC

CD

DA

congruent

parallel

perpendicular

parallelogram

rectangle

rhombus

square

Answers

The type of quadrilateral is ABCD is parallelogram.

There are some properties of parallelogram:

If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.

The coordinate of quadrilateral ABCD  are A=(2,4) B=(5,6) C=(4,3) D=(1,1)

By using the coordinates we can find the slope:

slope=y2-y1/x2-x1

the slope of AB =6-4/5-2

AB=2/3

the slope of AD =1-4/1-2

AD=3/1

the slope of CD =1-3/1-4

CD=2/3

the slope of BC =3-5/3-6

BC=2/3

The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD

Therefore, as per the properties, quadrilateral ABCD  is Parallelogram

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How do you solve basic equations in algebra 1

Answers

Really depends on what you mean by “basic” and “algebraic”. If I take “algebraic” to mean polynomial, and “basic” to mean having one variable and a solution that you can find with standard techniques, then it’s “simple” — for a suitably generous definition of the word.

First, get all your stuff on one side so that you have P(x)=0
P
(
x
)
=
0
for some polynomial P
P
. This is done by subtracting both sides by everything on the right hand side, and combining terms that have the same power of x
x
. For convenience, order your terms so that the biggest powers of x
x
come first, and they get smaller as you go, so that the last term is one without an x
x
, if you have one. If this isn’t a polynomial, then this equations isn’t algebraic, so stop following this guide.

Possible mid-step, if you don’t have a term without an x
x
, then x=0
x
=
0
is a solution, and you can divide by the smallest power of x
x
so that now you should have a term without an x
x
. If there’s no smallest power of x
x
, you started with 0=0
0
=
0
which is always true. If the term without an x
x
is the only one, your equation looks like a=0
a
=
0
for some nonzero a
a
, so you’re out of solutions and can stop here.

Next, figure out the degree of P
P
. This is super easy if you did everything correct up until now, because it will be the power of x
x
on the very first term, which should be the biggest power of x
x
you have, and should be at least 1
1
.

Another possible mid-step, if your degree is more than 4
4
, check if the least common multiple of all the powers of x
x
is greater than 1
1
, and check that the degree divided by the least common multiple is 4
4
or less. If this is the case, make the substitution z=xm
z
=
x
m
where m
m
is the least common multiple. Then continue on to solve the equation for z
z
, and then turn those into solutions for x
x
with x=z√m
x
=
z
m
. If you don’t have a degree 4
4
equation, then you might be out of luck. At this point, I think we can no longer call the equation “basic”, as it might not even have a closed-form solution.

Lastly, at this step you should have a polynomial of degree between 1
1
and 4
4
, in which case you will use the corresponding formula: linear, quadratic, cubic, or quartic. The term “linear formula” isn’t really in wide use, but it simply states that the equation
. The other three can be found easily via the internet. The quadratic formula is fairly manageable, the cubic formula is a bit unwieldy but not too bad, and the quartic formula is a bit of a nightmare but if you’re at this point it’s probably the only way.

So there you go, a more or less complete tutorial on how to solve any “basic” “algebraic” equation (for the definitions given above). There are a couple of heuristic techniques you can also try before giving up, such as factoring by grouping, the rational root theorem, and Descartes rule of signs, but none of these techniques are guaranteed to be of any help. Most polynomials of degree 5 or greater don’t have closed-form solutions, so don’t be discouraged if you can’t find them. At that point, if you really need those solutions, you can try numerical methods, but I’ll leave that out of this answer.

the chicken coup at the petting farm is 10 feet by 14 feet. the farm would like to double the current area by adding the same amount, x, to the length and width.

Answers

Answer:

22 by 26

Step-by-step explanation:

10+10+14+14=48 (the perimeter)

48×2=96

10+12=22

14+12=26

22+22+26+26=96

A single pump can add only 0.35 pound of air into a bicycle tire. The bicycle tire will hold a maximum of 640 ounces of air per square inch. How many pumps are required to inflate the bicycle tire to maximum pressure?

A.15 pumps
B. 115 pumps
C. 225 pumps
D. 1,829 pumps

Answers

The bicycle tire needs an amount of 115 pumps to be fully inflated. (Correct choice: B)

How many pumps are required to inflate the bicycle tire to maximum pressure

In this problem we need to determine the number of pumps needed to inflate the bicycle tire at maximum pressure, this number (n) is equal to the maximum capacity of the tire (V), in ounces, and the mass added by a single pump (p), in ounces:

n = V / p

If we know that V = 640 oz and p = 5.6 oz (1 lb = 16 oz), then the number of pumps is:

n = 640 oz / 5.6 oz

n = 114.286

n = 115

An amount of 115 pumps are needed to inflate the bicycle tire to maximum pressure.

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Where is the quadrant 1?

Answers

The quadrant 1 of the graph is in the place of upper right quadrant.

the term graph in math is referred as a non-linear kind of data structure made up of nodes or vertices and edges

Here we have given that we have to find the place of quadrant 1.

In order to find that we must know that definition of quadrant in math that is one other than the region/part of a cartesian plane which is obtained when the two axes intersect each other and it is used to determine the position of a point in a plane.

As we all know that the first quadrant is in the upper right-hand corner of the plane.

And here we all also know that both x and y have positive values in this quadrant.

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EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!

Answers

Graph of given system of equations is shown in figure with intersection point (2, 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.

We have to given that;

The system of equation is,

⇒ 2x + y = 8

⇒ - x + 2y = 6

By solving both equation , we get;

⇒ (x, y) = (2, 4)

Thus, The graph of system of equation intersect on point (2, 4).

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-6/7 on a coordinate plane ( I need 3 ordered pair if so pls help)

Answers

-6,7 is in 2nd Quadrant of a coordinate plane because the coordinate of x is negative integer and the coordinate of y is positive integers.

What is coordinate?

It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. We may have observed the use of grids in mathematics. We can plot any point using these grids and its coordinates.

Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.

The X-axis is the horizontal axis and the Y-axis is the vertical axis of a coordinate plane, which has four quadrants.

To plot -6, 7 point on coordinate first we find the point -6 on the left side of plane on x axis. the we go upward and find point y=7 parallel to y axis.

this point is -6,7.

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Imagine you have a wood block that is 4 cm wide, 4 cm long, and 8 cm high. It
weights 200 grams.
What is the volume of the block? Be sure to include the units.
Then, imagine that you are cutting the block into 2 exactly equal halves. What is the
volume of one of the pieces (including the units)? How does its volume compare to
that of the original block?

Answers

The way that the new volume compares to the original volume of the block is that the new volume is half of the original volume.

How to find the volume of the block?

The volume of a rectangular block is gotten from the formula;

Volume = length * width * height

Now, we are given;

Width = 4 cm

Length = 4 cm

Height = 8 cm

Thus;

Volume of block = 4 * 4 * 8

= 128 cm³

Now, if you are cutting the block into 2 exactly equal halves, then you can say that;

New length = 4/2 = 2cm

Thus;

Volume of cut block = 2 * 4 * 8

= 64 cm²

This is concluded to be half of the original block.

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at a local cafeteria there are 10 vegetable selections available how many three vegetable plates maybe made

Answers

The number of vegetable plates can be made = 120

We know that a combination is nothing but a way of selecting items from a collection. In combination the order of selection does not matter.

We know that a formula for a combination is,

^nC_r = n! / r!(n - r)!

where,  ^nC_r = number of combinations

n = total number of items in the collection

r = number of choosing items from the collection

and n! = n × (n - 1) × (n - 2) × . . . × 1

Here, we have n = 10 and r = 3

Using combination formula,  the total number of plates made:

^10_C_3

= 10! / (3! × (10 - 3)!)

= 10! / (3! × 7!)

= (10 × 9 × 8 × 7!) /( 3! ×7!)

= (10 × 9 × 8) / (3 × 2 × 1)

= (90 × 8) / 6

= 720/6

= 120

Therefore, 120 vegetable plates maybe made

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Find the values of x and y in parallelogram PQRS.

PT=​y, TR=4x+​1, QT=2​y, TS=5x+8

Answers

The values of x and y in parallelogram PQRS are x =2 and y = 9

How to determine the values of x and y in parallelogram PQRS

From the question, we have the following parameters that can be used in our computation:

The parallelogram

On the parallelogram, we have the following readings

PT=​y, TR=4x+​1, QT=2​y, TS=5x+8

Rewrite them as

PT= ​ y

TR = 4x + ​1

QT = 2​y

TS = 5x + 8

Because the point T is the midpoint of the parallelogram, we have

PT = TR

QT = TS

Substitute the known values in the above equation, so, we have the following representation

y = 4x + 1

2y = 5x + 8

This means that

8x + 2 = 5x + 8

Evaluate the like terms

3x = 6

So, we have

x = 2

Substitute x = 2 in y = 4x + 1

y = 4 x 2 + 1

So, we have

y = 9

Hence, the values are 2 and 9

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Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent

Answers

Yes it is possible to make the prediction about Ramiro's School but not completely.

It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.

With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.

For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.

It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.

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Is Amu equal to Avogadro's number?

Answers

Therefore, amu (atomic mass unit) and Avogadro's number are not the same things.

Define amu (atomic mass unit).

A unit of measurement for atomic and molecular weight is the atomic mass unit (amu).

What is molecular weight?

Molecular weight, commonly known as molecular mass, is the mass of a substance's molecules, calculated using the atomic weight of carbon-12, which is 12.

No, amu and Avogadro's numbers are not the same things because An atomic mass unit (amu) is a unit of measurement for atomic and molecular weight. It is defined as one twelfth of the mass of a neutral atom of carbon-12. It is commonly used in chemistry to express the masses of atoms and molecules While Avogadro's number (N) is a fundamental constant of nature that relates the number of atoms or molecules in a sample to the mass of that sample. It is defined as the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms or molecules per mole.

So, amu is a unit of measurement for atomic and molecular weight, while Avogadro's number is a constant that relates the number of atoms or molecules in a sample to the mass of that sample.

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