The dot plot shows predictions for the winning time in the 200 meter sprint. the winner finished the race in 22.2 seconds. what is the greatest percent error among the predictions?

Answer: Evaluate x[tex]\frac{8}{3}[/tex]

DIFFERENTIATE W.R.T. X

[tex]\frac{8x\frac{5}{3} }{3}[/tex]

​

Step-by-step explanation:

Answer:

C. b || c

Step-by-step explanation:

Answer:

c) b // c

Step-by-step explanation:

Two lines are said to be parallel when one of the conditions is true.

1) Corresponding angles are equal.

2) Alternate interior angles are equal.

3) Co interior angles are supplementary.

∠1 =115°   {Vertically opposite angles}

∠1 = ∠2 = 115°

If corresponding angles are equal, then the lines are parallel. So, b // c

The solution for the equation √x + 6 + 2 = x + 6 is 4.

An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.

A formula known as an equation uses the equals sign (=) to express how two expressions are equal.

Consider the equation,

√x + 6 + 2 = x + 6

Subtracting 6 from each side of the equation.

√x + 6 + 2 -  6 = x + 6 - 6

√x + 2 = x

Subtracting 2 from each side.

√x + 2 - 2 = x - 2

√x = x - 2

Squaring the above equation.

( √x )² = ( x - 2 )²

x = x² - 4x + 4

x² - 5x + 4 = 0

x² - x - 4x + 4 = 0

x( x - 1 ) - 4( x - 1 ) = 0

( x - 1 )( x - 4) = 0

x = 1, 4

Checking for extraneous solutions,

x = 1

√x + 6 + 2 = x + 6

√1 + 6 + 2 = 1 + 6

9 ≠ 7

Hence, x = 1 is not a solution.

For, x = 4

√x + 6 + 2 = x + 6

√4 + 6 + 2 = 4 + 6

2 + 6 + 2 = 4 + 6

10 = 10

The solution of equation √x + 6 + 2 = x + 6 is x = 4.

Learn more about equations here:

brainly.com/question/2972832

#SPJ9

Answer:

$3.00

Step-by-step explanation:

This is the same as g(x) which, therefore the functions are inverse of each other.

What does a math inverse mean?

for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.  

so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.  

to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:  

y = 3x - 5  

solve for x:  

y + 5 = 3x  

x = (y + 5) / 3  

swap x and y:  

y = (x + 5) / 3  

this is the same as g(x) which, therefore the functions are inverse of each other.

Learn more about Inverse operations

brainly.com/question/26204160

#SPJ9

The number of ants that are more than people will be 9800000.

It should be noted that based on the information, it was stated that on earth, there are about 1 quadrillion ants and about 8 billion people.

Therefore, the difference between the values illustrated will be:

= 1 quadrillion - 8 billion

= 1 × 10^15 - 8 × 10^9.

= 9.2 × 10^5

Therefore, the number of ants that are more than people will be 9800000

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

Use the following information to fill in the blanks. On earth, there are about 1 quadrillion ants and about 8 billion people.

On Earth, there are about ...... more ants than people.

The equation that shows the different and incorrect relationship is C. b = ✓(a² + c²)

It should be noted that from the information the Pythagoras theorem was illustrated and given as c² = a² + b²

Therefore, the equations that can be gotten from it include b² = c² - a².

It should be noted that the equation that shows the different and incorrect relationship is b = ✓(a² + c²)

In conclusion, the correct option is C.

Learn more about equations on:

brainly.com/question/18831322

#SPJ1

From 100 yards away, a marksman hit  probability of It means 90% of the targets were hit .

What is the probability?

Total no of targets = 10

number of targets hit = 9

                                    = 100/10  = 10

                                   = 10 * 9   ⇒ 90

It means 90% of the targets were hit .

Learn more about probability

brainly.com/question/11234923

#SPJ9

Answer:

[tex]1.93475*10^{-10}[/tex]

Step-by-step explanation:

To multiply the decimal numbers in scientific notation, multiply the decimals and add the powers of the 10.

  [tex]\sf 5.45 * 10^{-4}* 3.55*10^{-7}=5.45*3.55 * 10^{(-4)+(-7)}[/tex]

                                         [tex]\sf = 19.3475*10^{-11}[/tex]

Now, write the decimal 19.3475 in scientific notation.

As we have to move the decimal one count towards left, add 1 to the power.

                                         [tex]\sf = 1.93475*10^{-11+1}\\\\ = 1.93475*10^{-10}[/tex]

Answer:

[tex]-\frac94 \to -2\frac3{20} \to-2.05\to\frac78 \to 89(percent) \to 0.9[/tex]

Step-by-step explanation:

[tex]-2\frac3{20} = -2.15\\89(percent) = 0.89\\-\frac94 = -2.25\\\frac78 = 0.875[/tex]

Answer:

[tex]-\frac{9}{4}, -2\frac{3}{20} ,-2.05, 7/8, 89%, 0.9[/tex]

Step-by-step explanation:

We know that the number line goes from negative to positive

Convert everything to decimal

89% = 0.89

[tex]-2\frac{3}{20} =-2.15[/tex]

-9/4 = [tex]-2\frac{1}{4} = -2.25[/tex]

7/8 = 0.875

[tex]-\frac{9}{4}, -2\frac{3}{20} ,-2.05, 7/8, 89%, 0.9[/tex]

Hope this helps  :)

Have a great day!

The area of stained glass with a parallelogram shape is 108cm².

So, Area of parallelogram = Base × Height

Now, in △LMN use the Pythagorean theorem:

Using the parallelogram area formula:

Then,

Therefore, the area of stained glass with a parallelogram shape is 108cm².

Know more about parallelograms here:
https://brainly.com/question/24291122

#SPJ9

The number of hours that Jing spent on each subject will be;

Mathematics = 5.36 hours

Chemistry = 10.72 hours

History = 71.32 hours

Let the number of hours spent on Mathematics = x

Chemistry = 2x

History = 4(2x + x) + 7 = 12x + 7

Total hours = 82 hours

Therefore, the time used for each will be illustrated:

x + 2x + 12x + 7 = 82

14x + 7 = 82

14x = 82 - 7

14x = 75

x = 75 / 14

x = 5.36 hours

Mathematics = x = 5.36 hours

Chemistry = 2x = 2 × 5.36 = 10.72 hours

History = 4(2x + x) + 7 = 12x + 7 = 71.32 hours

Learn more about equations on

brainly.com/question/13763238

#SPJ1

The number of caps they can buy is 2 and the number of shirts they can buy is 6.

The system of equations that can be used to represent this question is:

6s + 3c = 36 equation 1

s + c = 8 equation 2

Where:

In order to determine the required values, take these steps:

Multiply equation 2 by 6

6s + 6c = 42 equation 3

Subtract equation 1 from equation 3

3c = 6

c = 6/3

c = 2

Substitute for c in equation 2:

s + 2 = 8

s = 8 - 2

s = 6

Here is the complete question:

Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and Caps cost $3 each. How many of each item can they afford?

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

The reasonable class intervals for a frequency table in between 120-269 with 14 class interval in between is shown .

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

Given:

The weights of 100 main subjects as a part of a nutrition study.

The values ranging from a low of 121 pounds to a high of 263 pounds.

According to given question we have

Total span =263 pounds- 121 pounds

                  =142 pounds

Interval             frequency

120-134                4

135-149                14

150-164                16

165-179                 28

180-194                 17

195-209                8

210-224                 7

225-239                6

240-254                 2

255-269                3

Therefore, the reasonable class intervals for a frequency table in between 120-269 with 14 class interval in between is shown .

Learn more details about frequency here:

https://brainly.com/question/5102661

#SPJ1

Hey there!

x^2 * y

= 7^2 * 9

= 7 * 7 * 9

= 49 * 9

= 441

Thus, the answer should be:

441

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: m<2 = 18°

Step-by-step explanation:
m<1 + m<2 = 90°

7x - 19 + x + 5 = 90°
     First add common variables; 7x + x = 8x || -19 + 5 = -14
8x - 14 = 90°
     Second add 14 on both sides;

8x - 14 = 90°

     +14   +14

8x = 104°
      Third divide 8 to 104
[tex]\frac{8x}{8} = \frac{104}{8}[/tex]

x = 13

m<1 7(13) - 19 + m<2 (13) + 5 = 90°
13 * 7 = 91
91 - 19 = 72
72 + 13 = 85
85 + 5 = 90°

m<2 = 13 + 5 = 18°

Hope this helps! :]
--Blu

According to basic algebra and the logarithm, the bone is roughly 16384 years old.

Y and t may have the following values: t = 16384, y = 16380. (a). (as determined using logarithm and elementary algebra).

The logarithm is exponentiation's opposite function in mathematics.

The power to which a number must be increased in order to obtain another number is known as a logarithm. This shows that the logarithm of a fixed integer base b represents the exponent to which that number must be raised in order to reach a specific number x.

The logarithm with a base of 10 is the common logarithm, commonly referred to as the value of log base 10. The common logarithm of 10 has a value of 1, or 1.

Let 'a' be the original amount of the object.

Then, according to question, for y = amount of carbon in the object, y = 0.14(a) (as the bone contains 14% of its original carbon-14).

We are also given that: y = a [tex]e^{-0.00012t}[/tex]

On substituting the value of y, we get: 0.14a = a  [tex]e^{-0.00012t}[/tex]

By basic algebra, we can solve it as:

=> 0.14 =  [tex]e^{-0.00012t}[/tex]

=> ln (0.14) = ln ( [tex]e^{-0.00012t}[/tex]) (taking natural logarithm on both sides)

=> ln (0.14) = - 0.00012t (as [tex]log_{b} a^{m} = m log_{b} a[/tex] ; further: [tex]log_{e} e=1[/tex]  )

=>  ln(0.14)/-0.00012= t

=> t = 16384 years (approx.)

The values of y and t can be as follows: t = 16384, y = a (0.9998(16384)) = 16380(a).

To learn more about logarithm from the given link:

brainly.com/question/28346542

#SPJ4

Answer:

50

Step-by-step explanation:

because 10 × 5 is 50

- to check 50 ÷ 4 is infact equal to 10 (make sure u always double check ur answers)

According to the question, the given expression is a single natural logarithm and the expression is as follows:

Expression: [tex]ln7+2ln5[/tex]

Using logarithmic formulas, the above expression can be written as:

Expression: [tex]ln7+2ln5 = ln7+ln5^{2} =ln7+ln25[/tex]

Using multiplication logarithmic formula that is [tex]log(ab)=log(a)+log(b)[/tex]

Now the above expression can be written as:

Expression: [tex]ln7+ln25 = ln(7X25) = ln(175)[/tex]

The solution for the given expression is: [tex]ln(175)[/tex].

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

To learn more about the logarithmic function from the given link:

brainly.com/question/1695836

#SPJ4

The values of the variables in the ordered pair are as follows;

18. y = 10

19. x = 6

20. y = -14

21. x = -4

22. x = -5

23. x = 40

24. y = -30

25. y = 5

Ordered pairs are points located on the graph of a function.

In a direct variation, we have;

y = m•x

Where;

m = The slope of the line joining the points

18. (2, -4), (-5, y) the ordered pair is a direct variation

The slope = (y + 4)/((-5) - 2) = (y + 4)/(-7)

y = (y + 4)/(-7) × (-5)

7•y/5 = y + 4

7•y/5 - y = 4

2•y/5 = 4

19. (4, 16), (x, 24)

m = (24 - 16)/(x - 4) = 8/(x - 4)

y = 24

Which gives;

24 = (8/(x - 4))×x

24 × (x - 4) = 8•x

16•x = 96

x = 96/16 = 6

20. (12, y), (4, 7)

m = (7 - y)/(4 - 12) = (7 - y)/(-8)

y = ((7 - y)/(-8)) × 12

12•y/(-8) = 7 - y

12•y = -56 + 8•y

4•y = -56

y = -56/4 = -14

21. (x, -16), (6, 24)

m = (24 - (-16))/(6 - x) = 40/(6 - x)

-16 = (40/(6 - x))×x

16•x - 96 = 40•x

24•x = -96

x = -96/24 = -4

22. y = -18, x = 3

-18 = m×3

m = -18/3 = -6

When y = 30

x = 30/(-6) = -5

23. y = 80 when x = 32

m = 80/32 = 10/4 = 2.5

When y = 100, we have;

x = 100/2.5 = 40

24. y = 10 when x = -4

m = 10/(-4) = -2.5

When x = 12, y = 12 × (-2.5) = -30

25. y = -7 when x = -28

m = -7/(-28) = 1/4 = 0.25

When x = 20, y = 0.25 × 20 = 5

Learn more about ordered pair of a function here:

https://brainly.com/question/7047955

#SPJ1

Step-by-step explanation:

Select the correct answer from each drop-down menu. A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt. He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true. The conclusion drawn from the study is because the sample is . In this instance, an study was

When Nautica is making a scaled copy of a square using a scale factor of 2, the option that isn't true is D. The corresponding angles in each figure are equivalent.

It should be noted that based on the information given, we've to multiply the given figures by 2

Therefore, each angle is multiplied by 2, the corresponding side lengths are multiplied by 2, and the perimeter is multiplied by 2

Therefore, the correct option is D.

Learn more about scale on:

brainly.com/question/25722260

#SPJ1

A pictorial representation or a diagram that represents data or values in an organized manner. For function f(x)=-x+3, -3≤x≤3 the graph is in attachment.

A pictorial representation or a diagram that represents data or values in an organized manner.

Given f(x)=-x+3, -3≤x≤3

It means x values lies from -3 to 3

x        -3         -2      -1      0     1       2      3

f(x)      6         5       4       3     2      1       0

By taking the table values we can draw a graph.

Therefore the attached graph is the graph for f(x)=-x+3.-3≤x≤3.

To learn more on graphs click:

https://brainly.com/question/17267403

#SPJ1

Based on the given parameters, the value of x such that the lines are parallel is 20

Parallel lines are lines that extend indefinitely and do not meet

The given parameter is the lines in the figure

From the figure, we have the following angles:

3x + 20 and 2x + 40

The angles are corresponding angles

Corresponding angles are congruent

So, we have

3x + 20 = 2x + 40

Collect the like terms

3x - 2x = 40 - 20

Evaluate the like terms

x = 20

Hence, the value of x such that the lines are parallel is 20

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

If the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(-7) = 0

The given parameters are

The binomial (x + 7) is a factor of the polynomial function f(x)

The above means that

When the function f(x) is divided by x + 7, it has no remainder

So, we have

x + 7

Set to 0

x + 7 = 0

Add -7 to both sides

x = -7

Substitute x = -7 in f(x) = 0

f(-7) = 0

Hence, if the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(-7) = 0

Read more about polynomial function at

brainly.com/question/7693326

#SPJ1

Answer:

E) (0, 1)

Step-by-step explanation:

We can equalize the first two equations to find a certain point they share. We can then check if the third line also passes through this point if substituting that point's x coordinate into the third line's equation returns the point's correct y value.

[tex]2x + 1 = 3x + 1 \\\to 0 = x[/tex]

Therefore, the point is (0, 1) as substituting [tex]x = 0[/tex] into the first equation returns [tex]y = 1[/tex].

Substituting [tex]x = 0[/tex] into the third equation does also return [tex]y = 1[/tex], therefore, that line passes through the shared point (0, 1).

Answer: Im not sure but have a wonderful day god bless you.

Step-by-step explanation:

The solution to the system of equations is x = 7 and y = -3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

5x + 2y = 29

5x - 2y = 41

Add both equations

So, we have

10x = 70

Divide the equation by 10

So, we have

x = 7

Substitute x = 7 in 5x - 2y = 41

5 x 7 - 2y = 41

This gives

35 - 2y - 41

Evaluate

2y = -6

Divide by 2

y = -3

Hence, the solution to the system of equations is x = 7 and y = -3

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1