Lightning travels much faster than thunder, so lightning is seen before thunder is heard. Using inductive reasoning and the graph to the right, if you count 60 s between the lightning and thunder, how far away is the storm?

The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

8x² + 16x + 3 = 0

using Quadratic formula

The following steps are involved

\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)

\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)

\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)

\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)

\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)

\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

\(x = -0.209431\)

or

\(x = -1.79057\)

Therefore, the steps peter could follow will give the result

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

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Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

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x + 5y + 7z + 10x - 6z + 10y - 14y

( x + 10x ) + ( 5y + 10y - 14y ) + ( 7z - 6z )

11x + y + z

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__________

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x + 5y - 7z + 10x - 6z + 10y - 14y = ?

= (1x + 10x) + (5y + 10y - 14y) + (-7z - 6z)

= 11x + y - 13z

The number of clients would Ty need to get to join the gym each month to make the second offer better than the first is 22 clients

Number of client = x

First offer:

1200 + 50x

Second offer:

100x

100x > 1200 + 50x

100x - 50x > 1200

50x > 1200

x > 1200 / 50

x > 22

Therefore, the number of clients would Ty need to get to join the gym each month to make the second offer better than the first is 22 clients

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use a calc

Step-by-step explanation:

Answer: 5(n2+2n+4)

Step-by-step explanation: hope this help

Answer: 9" x 10" x 11" = 990 cubic inches.

990 cubic inches / 5 minutes = 198 cubic inches per minute

22" x 23" x 33" = 16698 cubic inches

16698/198 = 84 and 1/3 minutes

1 hour 24 minutes and 20 seconds

Based on the transformaion of point A, the coordinate of the point she would end up is (3, -4)

The complete question is added at the end of this solution

From the question, we have the following point

Starting point = (-3, 5)

The movement is given as

9 units down and 6 units to the right

The above can be represented mathematically as

(x, y) = (x + 6, y - 9)

When the above translation is applied on point A, we have the following equation

A' = (-3 + 6, 5 - 9)

Evaluate the sum and he difference in the above equation

A' = (3, -4)

Hence, the coordinate of the point she would end up is (3, -4)

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Complete question

The coordinates (the x- and y-values) for point A are (−3, 5).

If Samantha moved point A 9 units down and 6 units to the right, at what point would she end up?

The lowest common denominator of the fraction is 6

The lowest common denominator (LCD) is the smallest common multiple of the denominators of a set of fractions. It is used to add or subtract fractions with different denominators.

The LCD of a set of fractions is the smallest number that is divisible by all the denominators in the set. When all the denominators are divided into the LCD, each fraction has an equivalent fraction with the same value and a denominator equal to the LCD.

In the fraction given;

x / 3 + x / 2 = 20

The lowest common denominator is 6

Using 6, we can divide through each of the fraction.

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Answer:

how does the  melody go again

Step-by-step explanation:

when i drop...

Set up equation

\( {x}^{2} - 2bx\)

Factor out an x

\(x(x - 2b)\)

Set x-2b=0

\(x - 2b = 0\)

\(x = 2b\)

So our zeroes are

\(0\)

\(2b\)

When we graph our parabola, our y intercept will be at (0,0) and (0,2b).

Our axis of symmetry will be at

\( {b}\) since we did -b/2a

Our extreme values for this function is a minimum value since our leading factor coefficient (1) is greater than zero.

so plug in b f

into the equation at the very top will give us our minimum.

\( {b}^{2} - 2b(b)\)

\( {b}^{2} - 2 {b}^{2} \)

\( - {b}^{2} \)

so our miniumum value is

\( - {b}^{2} \)

Answer:

4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd

Answer:

1. 3^7 or (2187)

2. 1/3

3. 3

4. 3^12

SIDE NOTE:

I'M NOT COMPLETELY SURE IF THESE ARE CORRECT DON'T TAKES THESE FOR GRANTED.

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

please please please please please please

a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

The probability the card drawn is a face card is 3/13. The probability the card drawn is not a face card is 10/13. The odds in favor of drawing a face card is 3/10. The odds against drawing a face card are 10/3.

There are 52 cards in a standard deck, and 12 of them are face cards (jack, queen, and king). Therefore, the probability of drawing a face card is 12/52, or 3/13.

The probability of not drawing a face card is 1 minus the probability of drawing a face card. Since the probability of drawing a face card is 3/13, the probability of not drawing a face card is 1 - 3/13, which is 10/13.

The odds in favor of drawing a face card are 3:10, or 3/10. The odds against drawing a face card are 10:3, or 10/3.

In summary:

The probability the  card drawn is a face card: 3/13

The probability the card drawn is not a face card: 10/13

Odds in favor of drawing a face card: 3/10

Odds against drawing a face card: 10/3

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Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

17/12 ×2 × 9/34

153/408 × 2

3/8 ×2

3/4

Answer:

Step-by-step explanation:

Refer to attached

For the first two of the graphs the minimum number of colors used to color the graph are 3 and for the third one- 5.

So the chromatic numbers are 3 for the first two and 5 for the last one.

Answer:

y= - 104/125   (x - 1/2  2) +1

Step-by-step explanation:

hope this helps

Answer:

x = 18

Step-by-step explanation:

I the given triangle, it appears that M and N are the midpoints of the segments BG and BD respectively. If it so, then let us solve it.

By mid segment theorem:

2MN = GD

2(6x - 51) = 114

12x - 102 = 114

12x = 114 + 102

12x = 216

x = 216/12

x = 18

what is 2/3 divided by 1/6=4

Answer:

$154

Step-by-step explanation:

Find the rate per hour as;

if  11 hours =$242

     1 hour =?

Perform cross product as:

{$242 *1} / 11 = $22

For 7 hours the amount made will be:

7* $22 = $154

Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

Step-by-step explanation:

to find f(5)   in f(x) , just put in '5' where 'x' is in the equation

f(5) = 3 (5) + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Let's evaluate the function for f(5)

Insert 5 everywhere x appears:

Therefore f(5) = 17

The angles that are supplementary to each other are <11 and <10

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

The lines

The sum of angles on a line is 180

This means that angles on a line are supplementary

using the above as a guide, we have the following:

<11 + <10 = 180 degrees

Hence, the angles are <11 and <10

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1

is the correct answer lol ez stuff

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

For the given question options C, D and E are correct answers.

Given that, ∠2, ∠3, and ∠5 are interior angles of the triangle and ∠1, ∠4, and ∠6 are exterior angles of the triangle.

When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. There are three exterior angles in a triangle. It should be noted that each exterior angle forms a linear pair with its corresponding interior angle.

Now, m∠5 + m∠6=180° (Adjacent angles are added up to 180°)

m∠2 + m∠3 = m∠6 (Exterior angle is equal to the sum of opposite interior angles)

m∠2 + m∠3 + m∠5 = 180° (Sum of all the interior angles of a triangle is equal to 180°)

Therefore, options C, D and E are correct answers.

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