How many times greater is 72,980,001 than 54,908?

A. 1.4 x 10^3
B. 7.14 x 10^-4
C. 1.4 x 10^4
D. 7.14 x 10^3

Answer:

They are all incorrect except for C

Step-by-step explanation:

A. y = 4

B. y = -2x + 4

D. x = -4

An installation fee as well as a monthly service cost are charged by two Internet service providers the equation $y=45x+50$. Company A charges less per month then Company B.

Given that,

An installation fee as well as a monthly service cost are charged by two Internet service providers. The table displays the total expenses at Company A in USD for various lengths of time. The equation $y=45x+50$ represents the total cost of $y$ (in dollars) for $x$ months of work at Company B. 

We have to find which company has monthly fees that are lower.

Company A charges =220-180=40

Company A charges $40 per month.

Company B charges $45 per month

Because the slope is 45.

Therefore, Company A charges less per month then Company B.

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Answer:

10.5

10.5x = 52.50

Step-by-step explanation:

To identify the constant of proportionality, divide money by hours.

52.50 ÷ 5 = 10.5

Use the constant of proportionality to write the equation.

10.5x = 52.50

Answer:

9x^6y√y

Step-by-step explanation:

√81x¹²y³ = √9*9* x^6* x^6 * y*y*y = 9x^6y√y

Answer: 2(2−x)(x−6)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

lol XD are you trolling?

Answer:

f

Step-by-step explanation:

find the difference using the number line 3-1

The equation of the line perpendicular to the given line and passing through (-3, 7) is; y = (-2/3)x + 5

We are given the equation of a line as; y = (3/2)x - 1

Now, the general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, for our given equation we have;

Slope; m = 3/2

y-intercept; c = -1

Now, for a line perpendicular to this, will have a slope of -1/(3/2) = -2/3

Thus, equation of the line perpendicular to the given line and passing through (-3, 7) is;

y - 7 = (-2/3)(x - (-3))

y - 7 = (-2/3)(x + 3)

y = 7 - 2 - (2/3)x

y = (-2/3)x + 5

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[tex]\frac{3}{14}[/tex] is the straight section.

A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 12. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

Given Data

Length = 5[tex]\frac{5}{6}[/tex]

Length = [tex]\frac{35}{6}[/tex]

Straight section = 1[tex]\frac{1}{4}[/tex]

Straight section = [tex]\frac{5}{4}[/tex]

Dividing them:

= [tex]\frac{35}{6}[/tex] ÷ [tex]\frac{5}{4}[/tex]

= [tex]\frac{35}{6}[/tex] ×[tex]\frac{4}{5}[/tex]

= [tex]\frac{6}{28}[/tex]

= [tex]\frac{3}{14}[/tex]

[tex]\frac{3}{14}[/tex] is the straight section.

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[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ ~~ y^{\frac{3}{4}} ~~ }{y^{\frac{1}{2}}}\implies \cfrac{ ~~ y^{\frac{3}{4}}y^{-\frac{1}{2}} ~~ }{1}\implies y^{\frac{3}{4}-\frac{1}{2}}\implies y^{\frac{1}{4}}\implies \sqrt[4]{y^1}\implies {\Large \begin{array}{llll} \sqrt[4]{y} \end{array}}[/tex]

One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.

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The function rule for function g is g(x)=2x+3.

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The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.

The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.

Since we are provided with four red cards and four green cards so, the total possible combination of the  8 cards will be

C(8,2) = 28

out of which  2*C(4,2)=12 are the  pairs of the same color

therefore the probability of picking a pair with the same color OR same letter is

1 - (12*4)/28^2 = 0.9388

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Answer:

57 + 5x < 65

Step-by-step explanation:

57 + 5x < 65

5x < 8

x < 1.6

according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?

1 hour = 60 minutes

46 hour = 46*60= 2760 minutes

in one year total number of days =365 days

in 365 days spent on project= 2760 minutes

per day spent on project = 2760/365

                                          = 7.56minutes

Hence  according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

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The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.

T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :

( 8* 10^- 5 ) /( 2 *10 ^-7) = 400

This implies that the value of 8* 10^- 5 is  larger than 2 *10 ^-7, in 400 folds.

Therefore, option C is correct.

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Answer:

22

Step-by-step explanation:

The angles form a linear pair, and thus add to 180°.

[tex]3x+3+5x+1=180 \\ \\ 8x+4=180 \\ \\ 2x+1=45 \\ \\ 2x=44 \\ x=22[/tex]

Answer: 240,000

Step-by-step explanation: Ok so to get the answer we first do

10 x 20 which is 200 then you do 200 x 30 which is 6,000 then we times the last number which is 40 which would look like 6,000 x 40 which equals 240,000. Hope this helps but also a quicker way in your head could be lining them up straight and down in your head with all the numbers and with all the zeros you will no the answer will have 4 zeros on the end of the answer then do 1 x 2 = 2 x 3 = 6 x 4=24 so then add the four zeros on the end and there you go you get your final answer of 240,000.

g(x) = 2x² - 3x + 1 =

-2   = 2[tex](x+2)^{2}[/tex]+ 3(x+2) - 1

-2 = 2( [tex]x^{2}[/tex] + 4x + 4) + 3(x+2)  - 1

-2 = 2[tex]x^{2}[/tex] + 8x + 8 + 3x + 6 - 1

-2 = 2[tex]x^{2}[/tex] + 11x + 13

0 = 2[tex]x^{2}[/tex] + 11x + 15

0 = (  2x   +    5  )(kx  +   3   )

2x + 5 = 0 ---> kx= -5/2

x+3=0 ----> x = -3

Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output.

one of them sums up a function the best?

Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output. So, this is the best choice.

The function's type is f/x)= 2x 2 + 3x 1.

Explanation: Since the polynomial f(x)=2x33x+1 is continuous and contains continuous derivatives of all orders for all real x, it unquestionably meets the theorem's hypotheses.

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Answer:

This graph is not a function

Step-by-step explanation:

Because it fails the Vertical line test

Answer:

Step-by-step explanation:

A(7,10) and B(9,-3) are separated by 13.1 units.

How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)

Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10,  x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units

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Answer:

a

Step-by-step explanation:

Vertical angles are congruent, so:

[tex]7x+7=112 \\ \\ 7x=105 \\ \\ x=15[/tex]

Using linear pairs,

[tex]112+4y=180 \\ \\ 4y=68 \\ \\ y=17[/tex]

The most appropriate choice for area of rectangle will be given by:

Width of rectangle is 2 ft

What is area of rectangle?

Area of rectangle is the total space taken by the rectangle.

If the length of rectangle be [tex]l[/tex] ft and breadth of rectangle be [tex]b[/tex] ft, area of rectangle [tex]l \times b[/tex]  [tex]ft^2[/tex]

Here,

Let the width of the rectangle be w ft

Length = 7ft

Area  = 7 x w [tex]ft^2[/tex]

By the problem,

7 x w = 14

w = [tex]\frac{14}{7}[/tex]

w = 2 ft

Width of rectangle is 2 ft

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The tape diagram that could be used to represent the context is A.

It should be noted that a tape diagram is simply used to show number relationships. It so used to illustrate ratios, addition, etc.

In this case, the baseball team raised $1187.25 to go to a tournament and they rented a bus for $783.50 and budgeted $21.25 per player for meals.

Let x represents the number of players the team can bring to the tournament.

This will be illustrated as 783.50 + 21.25x = 1187.25. The tape diagram that illustrates this is A.

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The values of the equations that are given will be:

17. b + 9 and -b + 7

18. c - 4 and c + 4

19. a + b - c and a + b + c

20. 5 + 2b and 5 - 2b

21. 4 - h - b and -b + h - 4

22. 2 - b - 2h and b - 2

Based on the information given, it should be noted that the equations will be expressed thus:

It should be noted that an equation is used to show the relationship between the variables. The equations will be:

17. |b + 1| + 8

= b + 1 + 8

= b + 9

and

|b + 1| + 8

= -b - 1 + 8

= -b + 7

18. 5 - |c + 1|

= 5 - c + 1

= - c + 4

= c - 4

and

5 - |c + 1|

5 + c - 1

= c + 4

19. |a + b|- c

= a + b - c

and

-a - b - c

Multiply through by -

= a + b + c

20. 5 + |2b|

= 5 + 2b

and

5 + |2b|

= 5 - 2b

21. |4 - h| - b

= 4 - h - b

and

-4 + h - b

= -b + h - 4

22. |2 - b - h| - h

= 2 - b - h - h

= 2 - b - 2h

and

-2 + b + h - h

= b - 2

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The time to travel one mile is 1636.4 times the time to travel one meter.

An equation is an expression that shows the relationship between two or more numbers and variables.Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent.

The amount of time light takes to travel one meter =  3.3 nanoseconds = 3.3 * 10⁻⁹ s

Time to travel one mile = 5.4 microseconds = 5.4 * 10⁻⁶ s

Ratio of time to travel one mile to time to travel:

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Answer: [tex]\sqrt{82}[/tex]

Step-by-step explanation:

Points are (4,-4) and (3,5)

We find the difference between the numbers

5- - 4 = -9

3 - 4 = -1

Then find the length between them using a triangle [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]\sqrt{-9^{2} +-1^{2} } =\sqrt{82}[/tex]

She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.

As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.

We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.

To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,

700 feet = (700 * 0.305) meters,

or, 700 feet = 213.5 meters.

Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.

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Answer:

Step-by-step explanation:

5 3/4 - 2 1/4

whole numbers

5 - 2 = 3

fractions

3/4 - 1/4 = 2/4

so

3 2/4 is the answer