Jeanne has a piece of fabric in the shape of a square. She wants to cut the fabric in the shape of a circle.

Jeanne Has A Piece Of Fabric In The Shape Of A Square. She Wants To Cut The Fabric In The Shape Of A

Answers

Answer 1

The approximate area of the remaining part of the fabric is given as 17.415 square feet

How to solve for the area of the remaining fabric

To get the solution, we have to solve for the area of the square shape and the area of the circle

The area of a square is given as A = a²

The area of a circle is given as πr²

We would have area of remaining fabric as

a² -  πr²

The square has its sides as a = 9 cm

the circle has π = 3.14

we  are to find the radius. But first we have to determine the diameter

The circle runs from one end of the square to the other end. This should be the diameter, because it is the length of the square as well

Diameter = 9 cm

radius = diameter / 2

= 9 / 2

= 4.5

When we put the values in the formula a² -  πr² we would have

9² - 3.14 * 4.5²

81 - 3.14 * 20.25

81 - 63.585

= 17.415

The area of the remaining part after the circle is cut is 17.415 square feet

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Related Questions

x^2+y^2=100 is it a function?

Answers

The equation x^2+y^2=100 is not a function

How to determine if it is a function

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

x^2 + y^2 = 100

The above equation is a circle equation

As a general rule, we have

Circle equations are not functions and they do not represent a function on a graph

Hence, x^2+y^2=100 is not a function

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What is the result of multiplying the first equation by 2 and adding to the second equation?
6x − y = 7
2x + y = 5
A. 14x + 3y = 19
B.14x + y = 19
C.14x - y = 19

Answers

the only difference in the answer options is your y variable. the first equation (-y) multiple by 2 makes -2y. adding +y would make it a -y.

option c) 14x - y = 19 should be your answer

A cylinder-shaped scoop has a base radius of 2 centimeters and a height of 5 centimeters. The scoop has a mass of 14.9 grams when empty. The scoop is completely filled with water. One cubic centimeter of water has a mass of one gram. What is the mass of the scoop of water in grams, including the mass of the scoop? Describe how you found your answer. Round to the nearest tenth.

Answers

Answer:

  77.7 g

Step-by-step explanation:

You want the mass of a cylindrical scoop of radius 2 cm and height 5 cm when it is filled with water at 1 g/cm³, and has an empty mass of 14.9 g.

Water

The mass of the water will be the product of its volume and its density. The volume is that of a cylinder with radius 2 cm and height 5 cm. That volume is given by the formula ...

  V = πr²h = π(2 cm)²(5 cm) ≈ 62.83 cm³

The mass of the water is then ...

  (62.83 cm³) × (1 g/cm³) = 62.83 g

Total mass

The total mass of the water-filled scoop is the sum of its empty mass and the mass of the water:

  scoop + water = 14.9 g + 62.8 g = 77.7 g

The mass of the scoop and water is 77.7 grams.

If you take - 3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number

Answers

Answer: -30

Let's call the original number "x". Then, we can write the equation as follows:

-3/10 x + 1 = 10

To find the original number, we can isolate x by subtracting 1 from both sides and then multiplying both sides by 10/3:

-3/10 x = 9

x = (9 * 10)/(-3)

x = -30

So, the original number is -30.

Paul, Maria, Stephanie, and Andy have a total of $56 to spend at the amusement park. Admission will cost them $5 each for a total of $20. They can spend the rest on food and rides. They plan to spend twice as much on rides as on food. How much do they plan to spend on rides?

Answers

Answer:

They plan to spend $24 on rides.

Step-by-step explanation:

Let the amount they spend on food be x.

ride : 2x

amount left= $56-$20

                    = $36

2x+x= 36

x=12

2x= 2(12)

   = 24

Which statements are correct about the average rate of change for the function
given in the table?
x y
1 1
2 3
3 7
4 15
Select all correct answers.
Select 2 correct answer(s)

Answers

The correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

What is the rate of change?

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. In general, the formula for rate of change is: R = (D2 - D1)/T. where: R = rate of change.

Given that is a table, we need to find the average rate of change for the function,

a = 1, f(a) = 1

b = 2, f(b) = 3

Average rate of change is given by = f(b)-f(a) / b-a

= 3-1 / 2-1

= 2

a = 3, f(a) = 7

b = 4, f(b) = 15

Average rate of change is given by = f(b)-f(a) / b-a

= 15-7 / 4-3

= 8

a = 2, f(a) = 3,

b = 3, f(b) = 7

Average rate of change is given by = f(b)-f(a) / b-a = 4

Hence, the correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

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Points A, B, C and D are collinear, with B between A and C, and C between B and D. What is the measure of CD, if AB = 4x-1, BC= 6x-2, BD = 11x + 5, and AD = 64?
A. 15 units
B. 22 units
C. 25 units
D. 27 units
E. 33 units

Answers

Answer:

D. 27 units.

Step-by-step explanation:

See my attachments.

Find the value of each variable

Answers

The triangle on the left is a 45 45 90 triangle and the triangle on the right is a 30 60 90 triangle.

In a 45 45 90 triangle, the length of the hypotenuse is equal to the length of either one of the legs times the square root of 2. So that means that a and c are both 18.

In a 30 60 90 triangle, the length of the hypotenuse is twice that of the leg opposite the 30 degree angle. So that means that b is 36. The length of the leg opposite the 60 degree angle is the length of the other leg times the sq root of 3. So that would give you d = 18 sq root 3.

The table below represents a linear function for the cost of a gym membership based on the number of months of membership.

What is the slope and y-intercept of the linear function.

Answers

The equation of line is y = 30x + 75 , where the slope is m = 30 and the y intercept is 75

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 105 )

Let the second point be Q ( 3 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / ( 3 - 1 )

Slope m = ( 60 / 2 )

Slope m = 30

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 30 ( x - 1 )

On simplifying the equation , we get

y - 105 = 30x - 30

Adding 105 on both sides of the equation , we get

y = 30x + 75

Hence , the equation of line is y = 30x + 75

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8 A crystal paperweight
is shaped like a cylinder with a star-shaped hole. The
top of the star-shaped hole is shaped like a square with four points that are
identical equilateral triangles. The height of the cylinder is 3 centimeters. Find
the volume of the paperweight.


Please Help ASAP!!!

Answers

The volume of the paperweight is 79.3 cm³.

What is a cylindrical shape?

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

From the given information, The area of the star-shaped cutout is,

A square has a side length of 2 cm, and four equilateral triangles have a side and a height of 2 cm.

So, The area of the star-shaped cutout is,

= (2×2) + 4×(1/2)×2×2.

= 4 + 8.

= 12 cm.

Now, The volume of the star-shaped cut-out is,

= 12×height,

= 12×3.

= 36 cm³.

And the volume of the cylinder is,

= π(1 + 2 + 0.5)²×3.

= π(3.5)²×3.

= 115.4 cm³

Therefore, The volume of the paperweight is,

= 115.4 - 36 cm³.

= 79.3 cm³.

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Solve for x . circles tangent 1 A. 12 B. 10 C. 42 D. 9

Answers

8 is the measure if the angle x in the given diagram.

Circle geometry

The point where two lines meet is known as an angle. The given diagram is a circle geometry.

Using the theorem, angle at the arc is twice the angle at the vertex, we will have:

80 = 2(4x + 8)

80/2 = 8x + 8

40 = 4x + 8

4x = 40 - 8

4x = 32

x = 32/4

x = 8

Hence the value of x from the diagram given is 8

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1. Arturo earns n dollars per hour. Next month
he will receive a 2% raise in pay per hour. The
expression n +0.02n is one way to represent
Arturo's pay per hour after the raise. Write
an equivalent simplified expression that will
represent his pay per hour after the raise.

Answers

The equivalent simplified expression is 1.02n.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Given that, Arturo earns n dollars per hour. Next month he will receive a 2% raise in pay per hour.

The expression n +0.02n is one way to represent Arturo's pay per hour after the raise.

Here, the equivalent expression is n +0.02n= 1.02n

Therefore, the equivalent simplified expression is 1.02n.

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If f is differentiable at a, must f be continuous at a? A. No, if f is differentiable at a and does not have a corner at a, then f is continuous at a B. No, if f is differentiable at a and does not have a vertical tangent at a, then f is continuous at а. C. No, if f is differentiable at a and positive at a, then f is continuous at a. D. Yes, iff is differentiable at a, then fis continuous at a.

Answers

The correct statement regarding the continuity of differentiable functions is given as follows:

D. Yes, if f is differentiable at a, then f is continuous at a.

What is the continuity concept?

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

For a function to be classified as differentiable, the function must be continuous, plus the first derivative of the function must also be continuous.

This means that all differentiable functions are continuous, and thus the correct option is given by option D.

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a || b and p is a transversal. If m 1 = 140°, find the
measure of each angle giving one reason for each answer.
(The first one is done for you.)

Answers

Answer:

Angle 4 = 140

Angle 3= 40

Angle 5=140

angle 6=40

angle 7=40

Step-by-step explanation:

Adjacent angles are congruent. Thats how I can tell angle 4 is 140. And also how i can tell angle 3 is 40. Any questions?

im not explaining the rest im too tired

btw I also do 8th math lol it stinks.

the sum of 3 consecutive multiples of 8 is 888 find the multiples

Answers

Answer:

[tex]\fbox{\textbf{288, 296, and 304}}

[/tex]

Step-by-step explanation:Let's assume the first multiple of 8 is x, then the second multiple is x+8, and the third multiple is x+16.According to the problem statement, the sum of these three multiples is 888:x + (x+8) + (x+16) = 888Simplifying the left side:3x + 24 = 888Subtracting 24 from both sides:3x = 864Dividing both sides by 3:x = 288Therefore, the first multiple of 8 is 288, the second is x+8 = 296, and the third is x+16 = 304.So, the three consecutive multiples of 8 that add up to 888 are 288, 296, and 304

Select all the equations that are equivalent.
52 = 8n + 4
4(2n + 1) = 52
4 = 52 – 8n
4n = 48
n = 6

Answers

The equivalent equations are 52 = 8n + 4, 4(2n + 1) = 52 and 4 = 52 – 8n.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To determine which equations are equivalent to each other, we can simplify and manipulate each equation to see if they have the same solution(s).

52 = 8n + 4 can be simplified by subtracting 4 from both sides:

48 = 8n

n=6

Now 4(2n + 1) = 52

8n+4=52

8n=48

n=6

So the 52 = 8n + 4 and 4(2n + 1) = 52 are equivalent equations.

Now 4 = 52 – 8n

8n=52-4 is also equivalent equation.

4n=48 and n=6 are also equal but they are not in the same form as above equations.

Hence, 52 = 8n + 4, 4(2n + 1) = 52 and 4 = 52 – 8n are equivalent equations.

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Find the number of sides (n) of the polygons with the angle values shown in the items below.
a) The sum of the interior angles is 10,440∘
b) The value of each interior angle is 171∘

Answers

As per the concept of polygon,

a) The sum of the interior angles is 10,440° then the number of sides is 58

b) The value of each interior angle is 171°, then the number of sides is 36

A polygon is a two-dimensional geometric shape made up of straight lines and angles. The number of sides a polygon has is directly related to the sum of its interior angles.

a), we can use the formula for the sum of the interior angles of a polygon, which is (n-2) times 180 degrees, where n is the number of sides. To find n, we can rearrange the formula to

=> n = (sum of interior angles / 180) + 2.

Plugging in the value of 10,440 degrees for the sum of interior angles, we get

=> n = (10440 / 180) + 2 = 58.

Therefore, the polygon in item a) has 58 sides.

For item b), we can use the formula for the value of each interior angle of a regular polygon, we get

=> n = (180(n-2)) / 171 = (180n - 360) / 171.

Solving for n, we find that the polygon in item b) has 36 sides.

In conclusion, polygons with the angle values shown in items a) and b) have 58 and 36 sides respectively. These formulas can be applied to any polygon to find the number of sides based on its interior angle values.

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What is the average increase in pennies for Daisy's piggy bank over the first 2 days (starting with day 0)?

Answers

The average increase in first 2 days is 1.5 pennies/day.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is a tabular data about Daisy's piggy bank.

The average increase in first 2 days -

{a} = (7 - 4)/(2 - 0)

{a} = 3/2

{a} = 1.5

Therefore, the average increase in first 2 days is 1.5 pennies/day.

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find x, please show the work

Answers

X = 8

You find this answer by solving the equation

8x-1+27=90 combine similar numbers

8x+26=90 Subtract 26 from both sides

8x=64 Divide both sides by 8

X=8

Substitute variable x for 8 and the angle you’re left with is 63 degrees

can someone explain the questions attached? thanks

Answers

The probability of landing on the head side of coin and rolling a 3 on the die is found as 1/12.

Explain about the term sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of feasible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Sample space for tossing a coin: (H,T)

P(head) = 1/2

Sample space for tossing a dice : (1, 2, 3, 4, 5, 6)

P(3) = 1/6

So,

Probability of head with 3 on the die = 1/ 2* 1/6 = 1/ 12

Thus, the probability of landing on the head side of the coin and rolling a 3 on the die is found as 1/12.

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The correct question is-

A coin is tossed and a single 6-sided die is rolled. Find the probability of landing on the head side of the coin and rolling a 3 on the die.

Enter your answer as a fraction in the form a/b (for example 2/3, 5/7) or as an integer.

Two important ingredients for baking bread are
yeast and flour. To make a loaf of bread of at
most
30 servings, maintain a yeast to
flour ratio of 1:200. If you're making a loaf of more than 30
servings, use a ratio of 1:180.
If you're making 30 servings
of bread and using 0.25 oz of yeast, how many ounces of flour do you
need?
If you're making 60 servings of bread and using 540 oz of flour, how many ounces of yeast do you
need?
NOTE: Enter only numerals for each of your answers.

Answers

If you're making 60 servings of bread and using 540 oz of flour, then the number of ounces of yeast you need is 3 oz.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, to make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180.

If you're making 30 servings of bread and using 0.25 oz of yeast, then

0.25/Flour = 1/200

Flour = 50 oz

If you're making 60 servings of bread and using 540 oz of flour, then

Yeast/540 = 1/180

Yeast = 3 oz

Therefore, if you're making 30 servings of bread and using 0.25 oz of yeast, then the number of ounces of flour you need is 50 oz.

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Suppose that n 0 and n 1. Show that the substitution v = y^1-n transforms the Bernoulli equation dy/dx + P (x) y = Q(x) y^n into the linear equation dy/dx +(1-n)p(x)v(x)=(1-n)q(x).

Answers

The substitution, transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x). It is done as:

The equation is in the form  

dy/dx +P(x)y=Q(x)yⁿ,  where P and Q are functions of x or constants, this is called Bernoulli's equation.

Now, we have to substitution using 

[tex]v = {y}^{1 - n} [/tex]

Differentiating both side with respect to 'x'

[tex]v' = (1 - n) {y}^{ - n} y' \\ \frac{dx}{dy} = \frac{1}{1 - n} {y}^{n} v'[/tex]

we get,

[tex]= \frac{1}{1 - n} {y}^{n} v' + p(x)y \\ = q(x) {y}^{n} \\ = v' + (1 - n)p(x) {y}^{1 - n} \\ = (1 - n)q(x)[/tex]

Now, by using 

[tex]v' = {y}^{1 - n} [/tex]

The given equation is expressed as:

[tex]v + (1 - n)p(x)v = (1 - n)q(x)[/tex]

or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)

The Bernoulli equation simply states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a fixed value. The Bernoulli Equation can be viewed as a statement of the conservation of energy principle applicable to flowing fluids.

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Mateo currently has $100 in his bank account and plans on saving $20 per week in order to save for soccer camp over the summer. Write an equation to represent the amount of money saved, S, with respect to the number of weeks that have passed, w.

S = _ w + _

Answers

The equation that represents the amount of money saved is S = $100 + $20w

What is the equation that represents the amount of money saved?

The equation that represents the amount of money saved is a linear equation . A linear equation is an equation that has a single variable raised to the power of 1.

The form of the linear equation is:

Total money saved = amount in the bank + (amount that would be saved each week x number of weeks)

S = $100 + ($20 x w)

S = $100 + $20w

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Select all of the expressions that have a positive value based on the positions of a and b.

(Select all that apply.)
1. -b
2. a+b
3.a-b
4. a*b
5. -b/a

Answers

The expressions that have a positive value based on the positions of a and b are a + b and a×b. options 2 and 4

What are algebraic expressions?

Algebraic expressions are defined as expressions that are made up of terms, variables, factors and constants.

These expressions are also composed of mathematical operations such as;

SubtractionBracketParenthesesMultiplicationAdditionDivisionFloor division

Given the expressions;

a+ b and a×b.

They have the variables both positive

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What is the connection string for SQL Server using Windows Authentication?

Answers

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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How many nets are there for a triangular pyramid?

Answers

The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.

A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.

Triangular pyramid  is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.

It has 6 edges, 4 faces, 4 vertices.

A regular triangular pyramid has equilateral triangles all four faces

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f(x)=x² +16x-24 and
g(x)=x²-5x-17, find (ƒ + g)(x).

Answers

If functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x)=x² +16x-24 and g(x)=x²-5x-17.

We need to find  (ƒ + g)(x).

From properties we have (ƒ + g)(x)=f(x)+g(x)

(ƒ + g)(x)=x² +16x-24+x²-5x-17.

Add the like terms

(f+g)(x)=2x² +11x-41

Hence, if functions f(x)=x² +16x-24 and g(x)=x²-5x-17 then (f+g)(x) is 2x² +11x-41.

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How do you write Euler's number in Symbolab?

Answers

To write Euler's number in Symbolab, you can simply use the notation "e". For example, if you want to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.

Euler's number, denoted as "e", is a mathematical constant that is approximately equal to 2.71828. To write Euler's number in Symbolab, you can simply use the letter "e" in lowercase. For example, to evaluate the exponential function with a base of e raised to the power of 2, you can enter "e^2" in Symbolab.

Alternatively, if you want to use the built-in function for Euler's number in Symbolab, you can use the "exp(x)" notation, where x is the exponent. For example, to evaluate e raised to the power of 2, you can enter "exp(2)" in Symbolab. Symbolab supports various mathematical functions and constants, including trigonometric functions, logarithmic functions, and mathematical constants, which can be used to solve various mathematical problems.

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Which number is a factor of 24 but not a multiple of 12

Answers

8

it is a factor of 24 but not a multiple of 12

Choose the best answer.
A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a

Answers

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

What is the conditional statement?

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true sometimes when P is true.

The type of conditional statements are as follows:

General truth: I feel better all day if I eat breakfast.Future event - I will investigate tonight if I have a scan tomorrow.Assumption: If I had a million dollars, I would purchase an airplane!Hypothetical outcome - I might have been offered the position if I had geared up for the interview.

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

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Dave spent $6 on a pack of 3 test tubes. Which shows the money spent per test tube? Rank the types of radiation in order of their energy, from least to greatest.left to right on spectrumless wavelength/ greatest energypurple (gama rays)blue (X-rays)blue/green (ultraviolet)rainbow (visible light)yellow (infrared)orange (mircrowave)red (FM-Radio-AM)longest wave length/ lower energyleast energyRadio wavesinfraredred visible lightblue visible lightX-raysgamma raysMost energy consider the molecule 1,3-dichloropropadiene. (a) list all the symmetry operations for the molecule. Specialized lymphatic capillaries that project into the small intestines are called:a. Chyle.b. Lacteals.c. Lymphatic Trunks.d. Collecting Vessels. Given the following segment lengths, find the length of segment AB.AC : 10EC : 16ED :4Show all your work three times the sum of a number and 16 is a least 27 Identify the unit rate in each equation. Then, order the equations by unit rate, from least to greatest.Equation A Equation B Equation C Equation D3x=4y y=4x x=4y 4x=3y A projectile is thrown from point P .it moves in such a way that it's distance from point P is always Increasing .find the maximum angle above horizontal with which is thrown .ignore air resistance What causes depolarization of a cardiac muscle cell to occur? YOU GUYS IM BEGGING YOUA ball is dropped from a height of 64 feet. Itrebounds three-fourths of the height from which it falls every time it hits the ground. Write a function that models the height the ballreaches after each time it hits the ground. A human cell in g1 of the cell cycle has 23 pairs of chromosomes. the number of unreplicated chromosomes in a human cell following telophase ii of meiosis is? dentify the collective name given to the routes shown on the map above. In what era did they have the most economic activity? How did they impact civilization at that time? A. Andrew JacksonB. Chief SatantaC. George SibleyD. Chief SenachwineE. General George Armstrong CusterF. Dwight D. EisenhowerMatch the letter of the speaker with the quotation that captures his main idea. Not all letters will be used.3. "Let us submit to our fate, return not evil for evil, as this would offend the Great Spirit andbring ruin upon us."4(3 points) Which of the following vessels gives rise to the common hepatic artery, left gastric artery, and splenic artery?-intestinal arteries-celiac trunk-superior mesenteric artery-superior epigastric artery The main theme of a fugue is called the: a. subject b. prime c. countersubject d. episode Mark has a bag containing a mixture of 30 green and white marbles. Without looking, he guesses that half of the marbles in the bag are green. He randomly selected 1 marble from the bag, recorded the color, and returned the marble to the bag. After 15 trials, Mark has drawn 10 green marbles and 5 white marbles. Which of the conclusions below is best supported by his data? A student a model of isostatsy by placing a block of soon in a beaker (-2 -2) and y=8/3x-5 in slope intercept form A ball of mass 0.4 kg, initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below. The velocity of the ball as it leaves the kickers foot is 17 m/s at an angle of 42 above the horizontal. The top of the fence is 5 m high. The ball hits nothing while in flight and air resistance is negligible. the acceleration due to gravity is 9.8 m/s1. Determine the time it takes for the ball to reach the plane of the fence.Answer in units of s. 2. How far above the top of fence will the ballpass? Consider the diameter of the ball to benegligible.3. What is the vertical component of the velocitywhen the ball reaches the plane of the fence?Answer in units of m/s. Errors and omissions insurance, also known as E&O insurance and professional liability insurance, helps protect you from lawsuits claiming you made a mistake in your professional services. This insurance can help cover your court costs or settlements, which can be very costly for your business to pay on its own.