What is the 4 in front of the formula called?

Answers

Answer 1

The 4 in front of the formula is called a coefficient.A coefficient is a number that is multiplied by a variable or a constant in an algebraic expression.

In this case, the 4 is being multiplied by the formula, which makes it a coefficient.

A coefficient is a numerical value that is used in an algebraic expression or equation. It is placed in front of a variable or a constant, and it is multiplied by that particular element. The coefficient is used to adjust the value of the expression or equation, and it can be any number, including fractions, negative numbers, and decimals. For example, if a formula were written as 4x + 2 = 10, then the 4 in front of the x is the coefficient. This number is used to adjust the value of the expression, and it can be changed to any other number in order to alter the equation. Coefficients are very useful in mathematics, and they can be used to solve many types of equations and problems.

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Related Questions

find the exact length of the curve. y = √x − x2 + sin^−1 √x

Answers

The above statement suggests that perhaps the curve's approximate length is 2.

What in mathematics is a curve?

Curve, An abstract phrase used only to describe the trajectory of a linearly stretching point in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a linear model or a collection of connected line segments. The curve is referred to as a route, or a plot line (or just arc). If a curve is the continuous injective picture of either an interval or indeed a circle, it is considered simple.

Considering function is,

[tex]y=\sqrt{x-x^2}+\sin ^{-1} \sqrt{x}[/tex]

To determine the curve's actual length

First ,  Parametrise  the Curve  by x = sin²u

[tex]\begin{aligned}& y=\sqrt{\sin ^2 u-\sin ^4 u}+\sin ^{-1} \sqrt{\sin ^2 u} \\& y=\sin u \sqrt{1-\sin ^2 u}+\sin ^{-1} \sin u\end{aligned}[/tex]

y = sinucosu + u

[tex]\begin{aligned}& y=\frac{1}{2} \times 2 \sin u \cos u+u \\& y=\frac{\sin 2 u}{2}+u \\& \frac{\mathrm{d} y}{\mathrm{~d} u}=\frac{\mathrm{d}}{\mathrm{d} u}\left[\frac{\sin 2 u}{2}+u\right] \\& \frac{\mathrm{d} y}{\mathrm{~d} u}=\left[\frac{2 \cos 2 u}{2}+1\right]\end{aligned}[/tex]

[tex]\frac{\mathrm{d} y}{\mathrm{~d} u}=[\cos 2 u+1][/tex]

and, x = sin²u

[tex]\begin{aligned}& \frac{\mathrm{d} x}{\mathrm{~d} u}=\frac{\mathrm{d}}{\mathrm{d} u}\left[\sin ^2 u\right] \\& \frac{\mathrm{d} x}{\mathrm{~d} u}=[2 \sin u \cos u] \\& \frac{\mathrm{d} x}{\mathrm{~d} u}=[\sin 2 u] \\& \left(\frac{\mathrm{d} s}{\mathrm{~d} u}\right)^2=\left(\frac{\mathrm{d} x}{\mathrm{~d} u}\right)^2+\left(\frac{\mathrm{d} y}{\mathrm{~d} u}\right)^2 \\& \left(\frac{\mathrm{d} s}{\mathrm{~d} u}\right)^2=(\sin 2 u)^2+(1+\cos 2 u)^2\end{aligned}[/tex]

[tex]\begin{aligned}\left(\frac{\mathrm{d} s}{\mathrm{~d} u}\right)^2 & =\left[\sin ^2 2 u+1+\cos ^2 2 u+2 \cos 2 u\right] \\\left(\frac{\mathrm{d} s}{\mathrm{~d} u}\right)^2 & =[1+1+2 \cos 2 u] \\\left(\frac{\mathrm{d} s}{\mathrm{~d} u}\right)^2 & =[2+2 \cos 2 u] \\\left(\frac{\mathrm{d} s}{\mathrm{~d} u}\right)^2 & =4 \cos ^2 u \\\left(\frac{\mathrm{d} s}{\mathrm{~d} u}\right)^2 & =2 \cos u\end{aligned}[/tex]

Currently, the curve's exact length is,

[tex]\begin{aligned}& =\int_0^{\Pi / 2} 2 \cos u d u \\& =2 \int_0^{\Pi / 2} \cos u d u \\& =2[\sin u]_0^{\Pi / 2} \\& =2\left[\sin \frac{\Pi}{2}-\sin 0\right]\end{aligned}[/tex]

= 2

As a result, the curve's exact length is 2

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does it make sense that the number of cats falling frm the 5th floor would be greater than those of the 4th

Answers

Yes, it makes sense that the number of cats falling from 5th floor would be greater since the terminal velocity of the cat would be greater at higher altitudes.

What is velocity?

The pace at which an object's location changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.

What is altitude?

A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth.

The terminal velocity of the cat would be greater at higher altitudes; hence cats have higher risk of falling from heights.

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is it possible for a data set to have no mode? group of answer choices yes, if two observations occur twice. no, unless there is an odd number of observations no, if the data set is nonempty, there is always a mode yes, if there are no observations that occur more than once.

Answers

Yes, it is possible for a data set to have no mode.

A mode is the most common value in a data set, so if there are no observations that occur more than once, the data set would have no mode. For example, a data set of the numbers {1, 2, 3, 4, 5} would have no mode because none of the numbers appear more than once.

Additionally, a dataset can also have multiple modes, or a bimodal distribution, which means that there are two or more observations that occur with the same highest frequency. A dataset can have a multimodal distribution as well if it has more than two modes.

In summary, a dataset can have no mode if no observations occur more than once, or have multiple/multimodal modes if more than one observations occur with the same highest frequency.

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Which number gives the same result if it is multiplied by 999/998 or if any number is added to it?

Please give me the answer with an explanation!
Thanks in advance!

Answers

Answer:

The number that gives the same result if it is multiplied by 999/998 or if any number is added to it is zero (0).

The property of a number being unchanged after being multiplied by a fraction and a constant is called an "Identity element". The identity element for multiplication is 1 and for addition is 0.

When any number is multiplied by 1, it stays the same. So, if we multiply any number by 999/998, which is equivalent to multiplying by 1, it stays the same.

Similarly, when any number is added to zero, it stays the same. So, if we add any number to 0, it stays the same.

Therefore, the only number that gives the same result if it is multiplied by 999/998 or if any number is added to it is zero (0).

Can someone help me??!!!


Please

Answers

For given function f(x) the y in the graph are f(2) = 4,f(0) = 3 ,f(-6) = -6 and f(4) = 5

What is function?

A function is described as a relationship between a set of inputs, each of which has a single output. The simplest definition of a function is an association between inputs where each input is connected to a single, unique output. There is a codomain or range for each function. A function is frequently referred to as f(x), where x is the input.

Here,

In the given graph

when x = 2

y = 4

and x = 0

y = 3

Put it in slope formula

=> m =y2 - y1 / x2 -x1

=>  m =1/2

m = 1/2

Now we can just put them into slope formula

y - y₁ = m(x - x₁)

y - 4 = 1/2(x - 2)

y = 1/2(x) -1 + 4

y = 1/2(x) + 3

Now we can just put them into slope formula

y - y₁ = m(x - x₁)

y - 3 = 1/2(x - 0)

y = 1/2(x)  + 3

Thus, the function for given f(x) is solved

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The graphs of y=-4x and y=-4x+2 are shown. Use the drop down menus to complete the statements. The ratios of y/z are the same for the graph of

Answers

Answer:

y = -4x

Step-by-step explanation:

When equations are in the form

y = mx  the slope m (is y/x)

Pick two or fewer different digits from the set {1, 3, 6, 7} and arrange them to form a number. How many prime numbers can we create in this manner

Answers

We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.

Given that,

The number is either 1-digit or 2-digit.

In the case of 1-digit, the only 1-digit primes are 3 and 7, for a total of 2 primes.

In the case of 2-digit, We have the following combinations of numbers: 13, 16, 17, 36, 37, 67, 76, 73, 63, 71, 61, 31. Out of these 12 numbers, it is easier to count the composites: 16, 36, 76, and 63 for a total of 4 composites, which we subtract from the original 12 numbers to yield 12-4=8 prime numbers.

Thus, We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.

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using one or more coins, how many different amounts of money can be made from a collection of coins that consists two pennies, one nickel and one dime?

Answers

Answer:

We can use the following steps to determine the different amounts of money that can be made from a collection of coins that consists of two pennies, one nickel, and one dime:

Step 1: List out all the different combinations of coins that can be used to make the different amounts of money.

Two pennies

One penny and one nickel

One penny and one dime

Two pennies and one nickel

Two pennies and one dime

One nickel and one dime

Two pennies, one nickel, and one dime

Step 2: Calculate the value of each combination of coins.

Two pennies = $0.02

One penny and one nickel = $0.06

One penny and one dime = $0.11

Two pennies and one nickel = $0.07

Two pennies and one dime = $0.12

One nickel and one dime = $0.15

Two pennies, one nickel, and one dime = $0.17

Step 3: Write down the total amount of money that can be made from each combination.

Final Answer: There are 7 different amounts of money that can be made from a collection of coins that consists of two pennies, one nickel, and one dime, they are $0.02, $0.06, $0.11, $0.07, $0.12, $0.15, and $0.17

The lengths of two sides of a triangle are 7 cm and 17 cm. Identify the range of possible lengths for the third side.

Answers

The range possible length of the third side of the triangle is greater than 11.

How to find the third side of a triangle?

The lengths of two sides of a triangle are 7 cm and 17 cm.  The range of the possible length for the third side can be calculated as follows:

The triangle inequality theorem simply states that the sum of any two sides in a triangle must be greater than the length of the third side of the triangle.

Using triangle inequality theorem, if a, b and c are the sides of the triangle. Hence,

a + b > c

a + c > b

b + c > a

Hence,

7 + 17 > c

7 + c > 17

17 + c > 7

Therefore, using 7 + c > 17, c should be greater than 11.

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$73 is what percent of $125

Answers

Answer:

58.4%

Step-by-step explanation:

help me please with this work​

Answers

Step-by-step explanation:

we know

[tex]y = mx + c[/tex]

Answer:

y-intercept: -3

slope: 4

equation: y=4x-3

Step-by-step explanation:

To find the y-intercept, it shows in the table of value that when x is 0, y is -3 so y-intercept = -3. To find the slope, find the first differences which is 4.

Find the area of the SHADED figure. Pictures are not drawn to scale. Round answers to the nearest tenth.

Answers

The area of the shaded portion of the figure is 272 units squared.

How to find area of a figure?

The figure above is a triangle inside a trapezium. The area of the shaded portion can be found when we subtract the area of the triangle from the area of the trapezium.

Therefore,

area of the shaded portion = area of the trapezium - area of the triangle

area of the triangle = 1 / 2 bh

where

b = baseh = height

Therefore,

area of the triangle = 1 / 2 × 18 × 16

area of the triangle = 288 / 2

area of the triangle = 144 units²

area of the trapezium = 1 / 2 (a + b)h

where

a and b are the top and baseh = height of the trapezium

Therefore,

area of the trapezium = 1 / 2 (18 + 34)16

area of the trapezium = 1 / 2 (52)16

area of the trapezium =  832 / 2

area of the trapezium = 416 unit²

Therefore,

area of the shaded portion = 416 - 144

area of the shaded portion = 272 units²

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Draw the image of A ABC under a dilation whose center is A and scale factor is 1/4

Answers

Check the picture below.

If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, which of the following probabilities is not correct?
a. P(x ≥ 1) =.1587
b. P(x < 2) =.9772
c. P(x = 0) =.50
d. P(x ≤ 1) =.8413

Answers

If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

The probability of all the events in a sample space adds up to 1.

Thus, If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.

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A cafe has three different COLOURs of plates in the ratio grey: white : black = 3 : 8 : 5

The cafe has 304 plates together. Work out how many grey plates the cafe has.

Answers

Answer:

57 grey plates

Step-by-step explanation:

304 = 3 : 8 : 5

304 = 16x

[tex] \frac{ \\ 304}{16} = \frac{16x}{16} [/tex]

x = 19

by solving systematically for the grey plate

3 × 19 = 57 grey plates.

Additional solvings.

by solving systematically for the white plates

8 × 19 = 152 white plates

by solving systematically for the black plates

5 × 19 = 95 black plates

Total plates

57 + 152 + 95 = 304

I hope this helped

A marine biologist is studying the growth of a particular species of fish. she writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m
what is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)

Answers

The supplied statement states that the function f(maverage )'s rate of change is 0.78 cm, representing the fish's original length.

What in math is a function?

A function in mathematics is an expression, rule, or law that determines the link between two variables, one of which is an independent variable (the dependent variable). Functions may be present everywhere in mathematics, and they are essential for building physical connections in the sciences.

The fish's original length, which is represented by the graph's y-intercept, is 5 cm.

The function f(maverage )'s rate of change at m = 3 to m = 7

m = 3 => f(3) = 5(1.08) = 5.4 cm

m = 7 => f(7) = 5(1.08)⁷ = 8.55 cm

Change in 9 - 1 = 8 months = 8.55 - 5.4 = 3.15 cm

The function's average variation at m = 3 through m = 7 is given.

= (3.15/4)

= 0.78 cm per month

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An ant crawling along the floor follows a semi-circular path, going halfway around the circumference of a circle of radius R.
The distance traveled and the displacement of the ant are, respectively,
πR and πR
2R and πR
πR and 2R
πR and zero
none of these

Answers

  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

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i just wnated to finish this im stressed.

Answers

Answer:

[tex]\boxed{\displaystyle f^{-1}(x) =\left(\dfrac{x-2}{4}\right)^5 + 1\\}[/tex]

This is the last choice on the screenshot you provided

Step-by-step explanation:

Use y to represent f(x)

[tex]y=4\sqrt[5]{x-1}+2[/tex]

Replace x with y and y with x:

[tex]x=4\sqrt[5]{y-1}+2[/tex]

Solve for y in terms of x and that will be the inverse of f(x)

Switch sides:
[tex]4\sqrt[5]{y-1}+2=x[/tex]
Subtract 2 from both sides:
[tex]4\sqrt[5]{y-1}=x-2[/tex]

Divide both sides by 4
[tex]\sqrt[5]{y-1}=\dfrac{x-2}{4}[/tex]
Raise both sides to the 5th power to get rid of the radical
[tex]\displaystyle \left(\sqrt[5]{y-1}\right)^5=\left(\dfrac{x-2}{4}\right)^5[/tex]

This works out to
[tex]\displaystyle y - 1 =\left(\dfrac{x-2}{4}\right)^5\\[/tex]

Simplifying we get
[tex]\displaystyle y =\left(\dfrac{x-2}{4}\right)^5 + 1\\[/tex]
The right side is the inverse of f(x)

Answer: Last choice on the screen, namely

[tex]\boxed{\displaystyle f^{-1}(x) =\left(\dfrac{x-2}{4}\right)^5 + 1\\}[/tex]

Please answer these questions for 100 POINTS!

Answers

Answer:

Step-by-step explanation:

true true false

How many solutions exist for the given equation?
1/2(x+ 12) = 4x-1
zero
one
two
O infinitely many

Answers

0.5x + 6 = 4x - 1

3.5x = 7

x = 2

Only one solution exists for the given equation.

Answer:

one

Step-by-step explanation

For a polynomial function, the number of solutions, or zeros, is generally equivalent to the highest degree. For example, a cubic function (e.g. [tex]x^3+2x^2[/tex]) has 3 real zeros (x=-2, x=0, and x=0) and a quadratic (e.g. [tex]x^2-1[/tex]) has 2 real zeros (x=-1 and x=1).

For your problem, [tex]\frac{1}{2} (x+12)=4x-1[/tex], the highest degree is 1 since this is a linear function. To prove there is only one solution, let's bring all the terms to one side, simplify, and solve for x.

Distribute the 1/2 -->  [tex]\frac{1}{2} x+6=4x-1[/tex]Subtract 4x from both sides -->  [tex]\frac{1}{2}x+6-4x=-1[/tex]Subtract 6 from both sides -->  [tex]\frac{1}{2} x-4x=-7[/tex]Combine 1/2x and -4x -->  [tex]-3.5x=-7[/tex]Divide both sides by -3.5 --> [tex]x=2[/tex]

There only one solution to the equation as shown above and as can be seen in step 4, the x is only to the first degree ([tex]x=x^1[/tex]) which indicates that there is only one solution, 2.

Determina los primeros cuatro términos de la sucesión: -n2 -2n +3

Answers

The sequence of numbers for the expression -n² - 2n + 3 is

0, -5, -12, -21, and -32.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-n² - 2n + 3

The sequence of numbers for n = 1, 2, 3, 4, 5 are:

n = 1,

-1 - 2 + 3

= -3 + 3

= 0

n = 2,

-4 - 4 + 3

= -8 + 3

= -5

n = 3,

-9 - 6 + 3

= -15 + 3

= -12

n = 4,

-4² - 2 x 4 + 3

= -16 - 8 + 3

= -21

n = 5,

-25 - 10 + 3

= -35 + 3

= -32

Thus,

The sequence of numbers is 0, -5, -12, -21, and -32.

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URGENT WORTH 20 POINTS!!!
A polynomial f and a factor of f are given. Factor the polynomial completely using long division. Show work.

Answers

The polynomial x⁵ - 4x³ + x² - 4 will have a remainder of -8 when divided by x² - x + 1 and the result can be written in the form (x³ + x² - 4x + 4) - 8/(x² - x + 1).

How to divide the polynomial

Using the long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder

We shall divide the polynomial x⁵ - 4x³ + x² - 4 by x² - x + 1 as follows;

x⁵ divided by x² equals x³

x² - x + 1 multiplied by x³ equals x⁵ - x⁴ + x³

subtract x⁵ - x⁴ + x³ from x⁵ - 4x³ + x² - 4 will result to x⁴ - 5x³ + x² - 4

x⁴ divided by x² equals x²

x² - x + 1 multiplied by x² equals x⁴ - x³ + x²

subtract x⁴ - x³ + x² from x⁴ - 5x³ + x² - 4 will result to -4x³ - 4

-4x³ divided by x² equals -4x

x² - x + 1 multiplied by -4x equals -4x³ + 4x² - 4x

subtract 4x³ + 4x² - 4x from -4x³ - 4 will result to 4x² - 4x - 4

4x² divided by x² equals 4

x² - x + 1 multiplied by 4 equals 4x² - 4x - 4

subtract 4x² - 4x - 4 from 4x² - 4x - 4 will result to a remainder of -8.

Therefore, the polynomial x⁵ - 4x³ + x² - 4 divided by x² - x + 1 gives a quotient x³ + x² - 4x + 4 and a remainder of -8 and can be written as (x³ + x² - 4x + 4) - 8/(x² - x + 1).

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GIVING 74 POINTS ALL!!! ANSWER THIS ASAP! GIVING 74 POINTS! GIVING 74 POINTS. MATH QUESTION!!!!!! How many 6 digit numbers are in the form 225A7B such that the number is divisible by 36? I also have other problem. How many numbers are in the form AB554433221100 such that the number is divisible by 11?

Answers

Answer: number 1: 0.1111 and number 2: 1.0909

Step-by-step explanation: I hope I did this right

The time to manufacture a pair of headphones on each assembly line is 1/3 hour. if there are 24 assembly lines and they operate 8 hours a day, how many pairs of headphones can be manufactured in a day?

you get brainliest if you answer!!!!!! i need this right now! +15 points

Answers

The number of pais of headphones that can be manufactured in a day = 576

Given that the time to manufacture a pair of headphones on each assembly line is 1/3 hour.

By unitary method the number of pairs of headphones can be manufactured in an hour :

1 ÷ (1/3)

= 1/ (1/3)

= 3

So, 3 pairs of headphones can be manufactured in an hour.

We need to determine the number of pairs of headphones that can be manufactured in a day.

Since we can operate assemply line 8 hours a day.

By unitary method the number of pairs of headphones can be manufactured in 8 hours:

3 × 8 = 24

And there are such 24 assembly lines.

So, the number of pais of headphones that can be manufactured in a day:

24 × 24 = 576

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peters school runs a rugby team. over their first 10 games they scored a mean of 17 points per game. after their 11th game the mean had reduced to 16 points per game. how many points were scored in the 11th game?​

Answers

6 points were scored in the 11th game.

What is mean ?

Mean is the arithmetic average of a set of given numbers. Therefore the mean in math is often referred to as simply the average.

The mean is the total number of points scored divided by the number of games.

So if the mean is 17 points per game for the first 10 games, the total number of points scored in the first 10 games is 17 * 10 = 170.

Similarly,

if the mean is 16 points per game after the 11th game, the total number of points scored in the first 11 games is 16 * 11 = 176.

To find the number of points scored in the 11th game

we can subtract the total number of points scored in the first 10 games from the total number of points scored in the first 11 games:

176 - 170 = 6

Therefore, 6 points were scored in the 11th game.

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[tex]-\sqrt{16y^4}[/tex] if y<0

Answers

Answer:

  -4y²

Step-by-step explanation:

You want to simplify the expression -√(16y⁴), given that y < 0.

Square root

The square root can be simplified by removing squares from under the radical.

  [tex]-\sqrt{16y^4}=-\sqrt{(4y^2)^2}=\boxed{-4y^2}[/tex]

The sign of y is irrelevant.

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How to turn a number into a fraction

Answers

Answer:

1. Write the number as the numerator of the fraction.

2. Write 1 as the denominator of the fraction.

Step-by-step explanation:

Example-

To turn the number 3 into a fraction, write 3 as the numerator and 1 as the denominator. The resulting fraction is 3/1.

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How do you list angles and sides in order from smallest to largest?

Answers

Listing of the angles and the sides in the order of smallest to largest is given by :

Side opposite to obtuse angle > Side opposite to acute angle and

side opposite to right angle > side opposite to acute angle.

As given in the question,

In the given triangle,

Ordering of the angles and sides from smallest to largest.

As per the property of the triangle:

Side opposite to the greatest angle is the largest side of the given triangle.

If the given triangle is obtuse angle triangle,

Then other two angles are acute.

Compare all the angles and sides arrange in ascending order.

Side opposite to obtuse angle  > Side opposite to acute angle

In the right angled triangle,

Other two angles are acute.

Same compare and write in ascending order.

side opposite to right angle > side opposite to acute angle

Therefore, the sides and angles can be written in smallest to largest order by comparison and is given by:

Side opposite to obtuse angle  > Side opposite to acute angle and

side opposite to right angle > side opposite to acute angle.

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a bag contains red marbles and blue marbles. zuri randomly removes marbles from the bag, one at a time and without replacement, and stops when she has removed all the red marbles from the bag. what is the expected value of the number of marbles zuri removes from the bag?

Answers

The expected value of the number of marbles Zuri removes from the bag is the sum of the number of red marbles plus the number of blue marbles.

The expected value of the number of marbles Zuri removes from the bag is the sum of the number of red and blue marbles. This is because the expected value of an event is the sum of the probability of each outcome multiplied by the associated outcome. Since Zuri is randomly removing marbles from the bag, one at a time and without replacement, the probability of each outcome (red or blue) is equal. Therefore, the expected value of the number of marbles Zuri removes from the bag is the sum of the number of red marbles plus the number of blue marbles. This is because each marble has an equal chance of being removed and, therefore, each marble has the same expected value.

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The power of 10 is the ________________ of places we move the decimal point to get the first factor. For any number greater than ______, the power of 10 in scientific notation will be (positive or negative?).

First_______ Power of_____

Example: Let’s look at the mass of Earth in kilograms.
What power?____
Numbers can also be converted from scientific notation to standard notation.
Look at the number 6.51 × 108 . The power of 10 denotes the ________________ of places the ________________ ________________ has to move. The power of 10 in this number is positive, so we move the decimal point to the (left or right?) 8 places.
The number 6.51 × 108 written in standard notation is ______________________.

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Answer:

Step-by-step explanation:

The power of 10 is the exponent of places we move the decimal point to get the first factor. For any number greater than 1, the power of 10 in scientific notation will be positive.

First Non-zero Power of 10

Example: Let’s look at the mass of Earth in kilograms.

What power? 9

Numbers can also be converted from scientific notation to standard notation.

Look at the number 6.51 × 108 . The power of 10 denotes the number of places the decimal point has to move. The power of 10 in this number is positive, so we move the decimal point to the right 8 places.

The number 6.51 × 108 written in standard notation is 651000000.

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