At the 2008 Summer Olympics, Usain Bolt won the 100 m sprint with a time of 9.69 sec.

Which statements are true?

Select all that apply.

Answer:

slope = 1

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-(-1)}{3-0}[/tex] = [tex]\frac{2+1}{3}[/tex] = [tex]\frac{3}{3}[/tex] = 1

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

A data set must (when graphed) follow a bell-shaped, symmetrical curve that is centered around the mean in order to be regarded as having a normal distribution. Additionally, it must follow the empirical rule that shows the proportion of the data set that lies within (plus or minus) 1, 2, and 3 standard deviations of the mean.

Using the inverse standard normal calculator, we can determine the height at which 70% of 5-year-olds are below it, yielding a z-score of 0.84162. Using the formula x = mean + (z-score * standard deviation), this z-score can be used to determine the corresponding x value, which in this case would be

36 + (0.84162*10) = 42.4 inches.

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Kelli has made 12 calls to her grandma and her cousin by the end of August.

Kelli has already placed 12 calls other, according to this.

She starts calling her cousin every other month in January, so she will call four times in January, March, May, and July.

By using the unitary method

The unitary approach is a methodology for problem-solving that involves first determining the value of a single unit and then determining the necessary value by multiplying the single unit value.

The unitary method's formula is to get the value of a single unit and then multiply that value by the number of units to obtain the required value.

Consequently, 8+4=12

Kelli has already placed 12 calls.

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The number 3 is a special number that carries a lot of meaning in various cultures and religions.

Number is a mathematical concept that is used to count, measure, or label. It is used to quantify or quantify objects, events, or ideas. In mathematics, numbers can be classified as either rational or irrational. Rational numbers include integers, fractions, and decimals, while irrational numbers include pi and square root. Numbers are also used to represent data and can be used to represent a variety of objects and concepts including digits, dates, and time.

It is often seen as the number of unity and harmony, as it is comprised of three individual parts. In Christianity, the number 3 is associated with the Holy Trinity. In Hinduism, Buddha, and other Eastern religions, the number 3 is associated with the three qualities: action, knowledge, and devotion.

In mathematics, 3 is a prime number, meaning that it cannot be divided by any other number except itself and 1. It is also an odd number, and the third number in the Fibonacci sequence.

The number 3 is a powerful number and is often associated with creativity and luck. It is also seen as a number of growth and expansion. In literature, 3 is often used as a symbol of completeness and wholeness.

The number 3 is also associated with balance and harmony. It is seen as the number of perfection and balance between opposites. It is seen as the number of the divine and is often used in spiritual practices.

The number 3 is often used in art and design. Its three distinct parts make it a perfect number for creating a pleasing and attractive composition.

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The number 3 is a special number that carries a lot of meaning in various cultures and religions.

Number is a mathematical concept that is used to count, measure, or label. It is used to quantify or quantify objects, events, or ideas. In mathematics, numbers can be classified as either rational or irrational. Rational numbers include integers, fractions, and decimals, while irrational numbers include pi and square root. Numbers are also used to represent data and can be used to represent a variety of objects and concepts including digits, dates, and time.

It is often seen as the number of unity and harmony, as it is comprised of three individual parts. In Christianity, the number 3 is associated with the Holy Trinity. In Hinduism, Buddha, and other Eastern religions, the number 3 is associated with the three qualities: action, knowledge, and devotion.

In mathematics, 3 is a prime number, meaning that it cannot be divided by any other number except itself and 1. It is also an odd number, and the third number in the Fibonacci sequence.

The number 3 is a powerful number and is often associated with creativity and luck. It is also seen as a number of growth and expansion. In literature, 3 is often used as a symbol of completeness and wholeness.

The number 3 is also associated with balance and harmony. It is seen as the number of perfection and balance between opposites. It is seen as the number of the divine and is often used in spiritual practices.

The number 3 is often used in art and design. Its three distinct parts make it a perfect number for creating a pleasing and attractive composition.

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The complete question is-

Please explain there are 9 thirds in in 3 ones​.

The graph of the equation 4x+6y=48 is given below.

And the intercepts are (0, 8) and (12, 0).

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Given:

A football team has an away game, and the bus breaks down.

The coaches decide to drive the players to the game in cars and vans.

Four players can ride in each car.

Six players can ride in each van.

There are 48 players on the team.

The equation 4x+6y=48 models this situation, where x is the number of cars and y is the number of vans.

And the graph with in intercepts is given in the attached image.

Therefore, (0, 8) and (12, 0) are the intercepts.

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The complete question:

A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4x+6y=48 models this situation, where x is the number of cars and y is the number of vans.

Graph the equation.

Interpret the intercepts.

The numerical value of the slope and its meaning include the following: C. 312; velocity increases at rate of 312 kilometers per minute as the time increases.

Mathematically, the slope-intercept form of a line can be modeled by using this equation:

y = mx + c

Where:

Based on the information provided above, a function which represents the speed of a spaceship that is been launched from the station is given by:

v(t) = 5,924 + 312t

where:

By comparison, we can logically deduce that the slope is equal to 312 and it represents the rate of change of velocity with respect to time.

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Answer: Your answer would be  y = 17/4 x - 12

Step-by-step explanation:

I hope this helps!

Answer:

y=17/4x-12

Step-by-step explanation:

Using algebraic expressions, cost before finance charges is $2019.63 and $1669.63.

Algebraic Expressions: Any mathematical operation that involves variables, such as addition, subtraction, multiplication, or division, can be solved using algebraic expressions. Monomial, binomial, and polynomial expressions are the three different categories of algebraic expressions. Additionally, Boolean algebra is essential to algebraic expressions.

In the basics of algebraic expressions, the letters x, y, and z stand in for an unknown value. Variables are the names given to these letters. Both variables and constants can be present in an algebraic expression. They combine to create the algebraic expression.

Let x = cost of desktop computer;

then x - 350 = cost of laptop computer

converting % to decimals, 7% = 0.07 and 9.5% = 0.095

Then, 0.07x + (x - 350)0.095 = $305

0.07x + 0.095x - 33.24 = $300

0.165x = $333.24

x = $2019.63

then x - 350 = $1669.63

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Answer:

x = 132

Step-by-step explanation:

The sum of interior angles in parallelogram equals 360. Opposite angles are congruent. (have equal measures)

360 = 48 x 2 + 2x

360 = 96 +  2x

(subtract 96 from both sides)

264 = 2x

(divide both sides by 2)

132 = x

Check:

2x + (48 x 2) = 360

(132 x 2) + 96 = 360

264 + 96 = 360

360 = 360

Answer: 132 Degrees

Step-by-step explanation: Since you know all the angles have to add up to 360 and one of the angles is 48. Alternate angles are always equal so you would do 48 and double that making 96. 360-96 leaves you with 264. Using the same alternate angles rule you would just divide that by 2 which leaves you with 132 degrees.

The line of reflection for this problem is defined as follows:

x = -1.

The line of reflection is drawn on the image given at the end of the answer.

The vertices of the two triangles have the same y-coordinates, while the x-coordinates are different, hence the reflection line is a vertical line.

The x-coordinates will be equidistant to the reflection line, just on opposite coordinates.

Considering that the reflection changes the "faces" of the triangles, D and E are equivalent vertices, thus the reflection line is given by the mean of the x-coordinates of these two points, hence:

x = (-3 + 1)/2

x = -1.

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Equation of this line is K = -2J + 28.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Step 1:

The equation can be written in slope intercept form which is y = mx + b

Step 2:

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

⇒ m = (24 - 20)/(2 - 4)

       = 4/-2)

       = -2

Step 3:

Find y-intercept of the line

⇒ b = 28

Step 4:

Substitute values in the equation

⇒ K = -2J + 28

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There are several ways to find the length of the third side of an acute triangle, depending on the information given about the triangle and the sides. Some common methods include:

Using the Pythagorean theorem: If you have a right triangle, you can use the Pythagorean theorem to find the length of the third side. The theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using the Law of Cosines: If you know the lengths of two sides and the measure of the angle between them, you can use the law of cosines to find the length of the third side.

Using the Law of Sines: If you know the lengths of two sides and the measure of the angle opposite one of them, you can use the law of sines to find the length of the third side.

It's important to note that you need to know at least 2 sides and an angle or the side opposite to the right angle (if the triangle is a right triangle) in order to find the length of the third side.

In the expression (ax⁶)^(1/n) = 7x³ the values of a and n are

The expression (ax⁶)^(1/n) = 7x³is simplified as follows

Information from the problem

(ax⁶)^(1/n) = 7x³

to make x⁶ to be equal to x³ we use the powers

6 * y = 3

y = 1/2

hence n = 2

substituting n = 2 and solving

(ax⁶)^(1/2) = 7x³

√(a) x³ = 7x³

dividing both sides by x³

√a = 7

squaring both sides of the equation wil result to

√a = 7

(√a)² = 7²

a = 7²

a= 49

We can therefore say that a = 49 and n = 2

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To depict the curve, we will make use of the idea of slope and intercept in linear equations.

A line's slope and y-intercept are represented by the equation y = mx + c, where m represents the slope and c represents the y-intercept.

When y = 2x - 4 is put into comparison with the generic form, we get

The curve has a slope of 2 and a y-intercept of -4.

To assist us plot the graph, let's take two points along the line y = 2x – 4.

The line y = 2x - 4 passes through since its y-intercept is equal to -4. (0, -4)

In the formula y = 2x - 4, replace y with 0.

0 = 2x - 4

2x = 4

x = 2

the line therefore goes through (2, 0).

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Full Question = Which graph represents the function y = 2x - 4?

Work done when a 100 lb rock is lifted to height of 3 ft is 9652.215 ft-lb.

What is meant by work done?

The work done on an object is equal to the force applied to it multiplied by the distance over which the force is applied. In this case, the force applied is the weight of the rock, which is equal to the force of gravity acting on it.

The weight of an object is given by the formula:

W = mg

Where m is the mass of the object (in this case, 100 lb) and g is the acceleration due to gravity (approximately 9.8 m/s^2 or 32.17405 ft/s^2).

So the weight of the rock is:

W = (100 lb)(32.17405 ft/s^2) = 3,217.405 ft-lb

The work done on the rock is equal to the force applied (its weight) multiplied by the distance it is lifted (3 ft), so the work done is:

Work = (3,217.405 ft-lb) x (3 ft) = 9652.215 ft-lb

Therefore, the work done when a 100 lb rock is lifted to a height of 3 ft is 9652.215 ft-lb.

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Answer:

the answer to get x = 116 and y=54

Step-by-step explanation:

Answer:

If you multiply or divide both sides of an inequality by the same positive number, the inequality remains true.

But if you multiply or divide both sides of an inequality by a negative number, the inequality is no longer true.

Step-by-step explanation:

Answer:

The multiplication property of inequality states that if one side of the inequality is multiplied or divided by a positive number, we can multiply and divide the other side of the inequality by the same number without changing or disturbing the direction sign of the inequality.

Step-by-step explanation:

We were able to recognize the following two sentences because parallelism involves the repetition of grammatical structures in a sentence or text.

Today, 25 years ago, America underwent a change of heart and a change of direction.

She is currently working on a project to find low-cost strategies to minimize pollution and share them with smaller businesses with businesses situated near three Ohio rivers.

Describe parallelism.

The repetition of the same grammatical structure is known as parallelism. It can be used as a rhetorical device or just as a method of disseminating data more effectively. In a text, parallelism helps prevent ambiguity and confusion.

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The inverse of the expression +9 is -9.

Expression in math is defined as  any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Here we have the expression +9 and we need to find the inverse for it.

As we all know that the term inverse in math is known as a function or operation which reverses the order or operation of another function or operation

Based on the definition, the given expression is written as,

=> +9

Now, the inverse of the expression is written as in the negative form such that,

=> -9

Therefore, the resulting value is -9.

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Answer:

C) 1/2

Step-by-step explanation:

We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.

From this sugar mixture, 1/4 cup is set aside for the crumb topping.

To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.

We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)

3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.

1/4 cup is set aside for the crumb topping.

So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup

The equation for Garage A can be expressed as A = 12 + 4t, and the equation for Garage B as B = 7 + 5t.

A = 12 + 4t

B = 7 + 5t

12 + 4t = 7 + 5t

4t - 5t = 7 - 12

-t = -5

t = 5 hours

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Answer:

7.3

Step-by-step explanation:

1. 288 tons of oats can be stored in the silo.

2. 432 tons of barley can be stored in the silo.

3. 540 tons of wheat can be stored in the silo.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A storage silo for grain can house 18,000 bushels of grain.

1. One bushel of oats weighs 32 pounds which is equal to 32/2000 tons.

= 0.016 tons.

Therefore, The number of tons of oats that can be stored is,

= 0.016×18000.

= 288 tons.

2. One bushel of barley weighs 48 pounds or 48/2000 = 0.024 tons.

Therefore, The number of tons of barley that can be stored is,

= 0.024×18000.

= 432 tons.

3. One bushel of wheat weighs 60 pounds or 60/2000 tons = 0.03 tons.

Therefore, The number of tons of wheat that can be stored is,

= 0.03×18000.

= 540 tons.

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Answer:

  286°

Step-by-step explanation:

You want the measure of the reflex angle AOB, whose vertex is the center of the circle in which inscribed angle ACB has measure 37°.

An inscribed angle is half the measure of the arc it intercepts, so short arc AB is 2·37° = 74°.

A central angle is equal to the measure of the arc it intercepts. Long arc ACB is 360° -74° = 286°. That means the measure of the reflex central angle AOB is ...

  reflex ∠AOB = 286°

__

Additional comment

The total of arcs around a circle is 360°.

The solution of the expression is 216(cd)³.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the exponential expression is (6cd⁻¹)⁻³. The expression will be simplified as below,

E = (6cd⁻¹)⁻³.

Use the property of the exponents to multiply the powers and now solve.

E= (6cd³)

E = 6³ x (cd³)

E = 216(cd³)

Therefore, the simplified value of the expression is 216(cd)³.

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The total height of the structure after the installation of the rod will be 898.60 metres.

60 metres (rod) + 828 metres (Burj Khalifa height) = 888 metres

888 metres + 10 metres (approximate height of the lightning rod) = 898.60 metres

The Burj Khalifa is the world's tallest building with a height of 828 metres. It is located in Dubai, United Arab Emirates. The construction team is planning to install a 60 metre long lightning rod on top of the Burj Khalifa. This will increase the total height of the structure to 898.60 metres. The lightning rod is necessary for protecting the structure from lightning strikes which can cause significant damage. This will make the Burj Khalifa even taller, and will ensure the safety of the building as well as the people living in and around it.

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Answer:

-----------------------------

Let the first term be a.

The common ratio is r = 2 and the sum of the first 6 terms is S₆ = 7.

Use the sum of first n terms formula:

Substitute and solve for a:

The value of x from the given figure is 16 units.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the given figure,

Using Pythagoras theorem to ΔBDC

Now, BC²=8²+4²

BC=√80

In ΔABD,

AB²=BD²+AD²

AB²=8²+x² ------(I)

In ΔABC

AC²=AB²+BC²

(x+4)²=AB²+80

AB²=(x+4)²-80 ------(II)

From equation (I) and (II), we have

64+x²=x²+8x+16-80

8x=128

x=16

Therefore, the value of x from the given figure is 16 units.

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The Absolute Value graph is not Linear , the shape of the absolute value graph is a V Shaped graph .

Consider the absolute value function ⇒ y = |x + 2| ;

on substituting x = 0 , we get ⇒ y = 2 ;

on substituting x = -3 , we get ⇒ y = 1 ; and

on substituting x = 3 , we get ⇒ y = 5 .

On plotting the points (0,2) , (-3,1) and (3,5) , we see that , a V shaped graph is formed ,

From the graph shown below , we can say that the graph is linear in intervals , not fully linear .

Therefore , the absolute value graph is a V Shaped graph .

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