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The increase in the national debt from 2005 to 2015 using scientific notation is 1.3176 × 10^13.

Scientific notation simply means a way of expressing numbers that are either too large or too small.

The U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015 and in September 29,

2005, the national debt was 4.974 x 10^12 dollars.

The increase will be the difference between the two notations. This will be:

= 1.815 x 10^13 - 4.974 x 10^12

= 1.3176 × 10^13

The increase is 1.3176 × 10^13.

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The required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

As of the given condition,
According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29, 2005, the national debt was 4.974 x 10^12 dollars.

Here,
The required increase in the debt is evaluated as the arithmetic difference of the debt in the years 2015 and 2005.

So.
Increase in debt = 1.815 × 10¹³ - 0.4974 × 10¹³ = 1.3176 × 10¹³

Thus, the required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

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Answer:

30 dollars

Step-by-step explanation:

3/8 and 2/5 is 31/40 and 300.00

Answer is 30.775

Answer: 30 dollars

Step-by-step explanation: cant put explanation right now in a rush! make the other person brainliest they deserve it! :)

Answer:

The answer is the third one down

Step-by-step explanation:

l5-3xl = -8

Absolute value cannot equal a negative number.

Step-by-step explanation:

l5-3xl = -8

the | | is absolute value to it so it cant be negative number

If you place brackets or parenthesis around the numbers 19+7 and 2*6+1. It would appear as follows: (19+7)/(2*6+1) = 26/13 = 2. It takes special parenthetical treatment to express the mathematical expression 19+7/26+1 to get a result of 2.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

y=19+7/2×6+1

becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=2

If you enclose the numbers 19+7 and 2*6+1 in parenthesis or brackets. It would look like this: (19+7)/(2*6+1) = 26/13 = 2. The mathematical expression 19+7/26+1 must be expressed with special parenthetical treatment to yield the number 2.

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The slope of the line through the points (6,5) and (4, 10) exists -5/2.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Let the two points are (6, 5) and (4, 10)

(x1, y1) = (6, 5) and (x2, y2) = (4, 10)

The equation of slope of the line through the points (x1, y1) and (x2, y2) = y2 - y1 / x2 - x1

substitute the values in the above equation, and we get

= 10 - 5 / 4 - 6

= 5 / -2

Therefore, the slope of the line through the points (6,5) and (4, 10) exists -5/2.

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The required equation is m/w = 900/18

What is meant by an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Differential equations are equations in which one or more functions and their derivatives are involved. They are solved by locating a function expression that does not use derivatives. Differential equations are used to represent processes with variable rates of change in fields such as physics, chemistry, biology, and economics.

The required equation is m/w = 900/18

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{GUIDE TO FOLLOW: }[/tex]

• [tex]\large\textsf{2 negatives equal positive}[/tex]
• [tex]\large\textsf{2 positives equal positive}[/tex]
• [tex]\large\textsf{1 negative \& 1 positive equal negative}[/tex]
• [tex]\large\textsf{1 positive \& 1 positive equal negative}[/tex]

[tex]\large\textsf{SOME OPERATIONS MAY BE DIFFERENT THAN OTHERS!}[/tex]

[tex]\large\textsf{ANYWHO, LET US ANSWER THIS QUESTION, SHALL WE? }[/tex]

[tex]\mathsf{(-12)(-8)}[/tex]

[tex]\mathsf{= 12(8)}[/tex]

[tex]\mathsf{= 96}[/tex]

[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{96}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The given information of the factors f ( x ) helped to get the following correct options:

The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include

Substituting the functions we have:

f (-1 ) = ( 1 - 1 ) = 0

f ( 4 ) = ( 4 - 4 ) = 0

f ( 3/2 ) = (3 * 2/3 - 3 ) = 0

Other options fail to give the desired result of zero.

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Answer:

x > 7

Step-by-step explanation:

x = 28 ÷ 4

x > 7

that's it

Hey there!

4x > 28
DIVIDE 4 to BOTH SIDES

4x/4 > 28/4

SIMPLIFY it

x > 28/4

x > 7

It is an open circle started at 7 & it’s going to the left of the number line

Therefore, your answer should be:

x > 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The expression that represents the output value when the input is n is -4 - 2n

From the question, the input parameters are given as

Input 1,2,3,4,n

Similarly, the output parameters are given as

output: -6,-8,-10,-12

So, we have the following table of values

1,2,3,4,n

-6,-8,-10,-12

From the above table of values, we have the following parameters

The output value for the input n is then calculated as

Tn = a + (n - 1) * d

So, we have

Tn = -6 + (n - 1) * -2

Open brackets

Tn = -6 - 2n + 2

Evaluate the like terms

Tn = -4 - 2n

Hence, the output value for the input n is -4 - 2n

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Let's use Cross-multiplication:

2mi ------------------------>15min

x mi------------------------->45min

So:

2/x = 15/45

Solving for x:

Multiply both sides by x:

x*(2/x) = x* 15/45

2 = 15x/45

Multiply both sides by 45:

45*2 = 45*(15x/45)

90 = 15x

Divide both sides by 15:

90/15 = 15x/15

6 = x

x = 6mi

The data collected in [n] days is collected in 24n hours.

The SI unit of time is Seconds. In 1 second, there are (1/60) minutes.

Given is Dr. Choi who just started an experiment and he will collect data for days.

Assume that he collects the data for [n] number of days. In one day, we have 24 hours. Therefore, in [n] number of days, there will be total of 24n hours.

Therefore, the data collected in [n] days is collected in 24n hours.

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In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

In this case, we must analyze the graphs to find the solution.

Step 01:

Graph A

Dollars vs Months

If Months = 4 ===> 400 Dollars

Graph B

Months vs Dollars

If Dollars = 4 ===> 400 Months

If Months = 4 ===> The dollar amount is imperceptible on the graph.

The answer is:

The graphics are different.

The perimeter of the regular polygon is 108 units.

A regular polygon is a polygon that has all its sides equal to each other.

Therefore,

5(x + 2) = 7x + 4

5x + 10 = 7x + 4

5x - 7x = 4 - 10

-3x  = -6

x = -6 / -3

x = 2

The perimeter of a regular polygon is the sum of the whole sides of the polygon.

Therefore,

each side of the regular polygon = 7(2) + 4

each side of the regular polygon = 14 + 4

each side of the regular polygon = 18

Hence the regular polygon has 6 sides

perimeter of the regular polygon = 18  × 6

perimeter of the regular polygon = 108 units

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The amount of lemonade Tina made in the starting is 630 ounces.

Given that:-

Fraction of lemonade drank by her family = 1/2

Fraction of lemonade given to neighbors = 1/3 of remaining

Amount of lemonade left with her at the end = 210 ounces

We have to find the amount of lemonade Tina made in the starting.

Let the amount of lemonade Tina made in the starting be 6x.

Hence,

Amount of lemonade drank by her family = (1/2)*6x = 3x

Remaining lemonade = 6x - 3x = 3x

Amount of lemonade given to neighbors = (1/3)*3x = x

Remaining lemonade = 3x - x = 2x = 210 ounces

Hence,

x = 210/2 = 105 ounces

Amount of lemonade Tina made in the starting = 6x = 6*105 = 630 ounces.

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x = 17

Step-by-step explanation:

5x = 85

x = 85/5

x = 17.

Hence, option (b) is correct answer

Answer: x=17 the answer is B

Hope this helped

Step-by-step explanation:

SOLUTION

From the question, we are given

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

But writing the forces in vector form, we have

Applying the formula above, we have

Now, theta becomes

hence the answer is option B, 53 degrees

SOLUTION

From the question, we are given

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

But writing the forces in vector form, we have

Applying the formula above, we have

Now, theta becomes

hence the answer is option B, 53 degrees

The area of the given flag is 1187.5 square inches.

Given that, the United States flag has a height : width ratio of 10 : 19.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Let the sum of Height and width of flag be x.

Now, 10+19=29

⇒ 10/29 ×x = 25

⇒ 10x=29 × 25

⇒ x=72.5

So, width = 72.5-25 =47.5

Area of flag = Length × Width

= 25 × 47.5

= 1187.5 square inches

Therefore, the area of the given flag is 1187.5 square inches.

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Hello! First, let's remember:

We can write a point as a cartesian coordinate (x, y).

The exercise has given two points, A(4,3) and B(8,1).

To calculate the slope of a line, we can use the formula below:

Let's consider A equal to the first point (4, 3) = (x1, y1), and B will be the second point (8, 1) = (x2, y2). Replacing these values in the formula:

To find this length, we have to use another formula. Now we will calculate the distance between two points:

Still considering A (4, 3) = (x1, y1), and B (8, 1) = (x2, y2), let's replace the values in the formula:

This value will be the medium point. To calculate it, we'll use another formula:

Still considering the same values for (x1, y1) and (x2, y2), let's replace them:

The midpoint of segment AB will be at point X (6, 2).

You can see this line represented in a cartesian plan below:

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.

You need to find the unit price.

So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7

You need to do the same thing to 3 3/5 cups.

3 3/5 as an improper fraction is 18/5

2 4/7 as an improper fraction is 18/7

Now to divide you need to keep, change, and flip

keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18

18/5*7/18=7/5

7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies

The distance of the friends house from Greg’s houses is 1.2 miles.

From the information illustrated, Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how

The distance will be the difference between the miles that are given.

This will be:

= 8.9 miles - 7.7 miles

= 1.2 miles

The distance is 1.2 miles.

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Answer:

The graph represents the reflection of triangle ABC over the line y=0 in graph (C).

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Step-by-step explanation:

hope this helps I hope

The graph C represents the reflection of triangle ABC over the line y = 0

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

The coordinates after applying rule

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Hence, the graph C represents the reflection of triangle ABC over the line y = 0

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Given that a future value annuity of 8,000 is accrued at 9% compounded annually, the present value of the annuity is evaluated as

Thus,

Substitute the above value into equation 1, to solve for PV

Hence, the sum to be invested is 31117.21

[tex]23 + 2 < y \\ y > 25[/tex]

ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.

Goodluck!!

Answer:

25 < y

Step-by-step explanation:

23 + 2 < y

25 < y

that's as much as it goes

Answer:

x = -2

y = -3

Step-by-step explanation:

If it is a simultaneous equation.

2x+y = -7-----equation 1

-4x -5y =23-----equation 2

5(2x+y = -7)

-4x -5y =23

10x+5y = -35

-4x -5y =23 +5y cancel -5y

10x= -35

-4x=23

6x = -12

x = -2

Solving for Y

Substitute the value of x in equation one or two.

equation two = -4x -5y =23

-4x -5y =23

-4(-2) -5y =23

8-5y=23

-5y = 23-8

-5y = 15

y = -3

Answer: The answer is 0.

X = 0 when evaluated.

Step-by-step explanation:

The graphs of the equations are in the attached graph

'

Equation (2)

From the question, the equation is given as

x = -3

In the above equation, we can see that

The equation has only one variable and the highest power of the variable is 1

Since the variable is x, then it means that the line of the graph is a vertical line that passes through point x = -3

See attachment for the graph

Equation (3)

Here, we have

y = -1

Also in this equation, we can see that

The equation has only one variable and the highest power of the variable is 1

Since the variable is y, then it means that the line of the graph is a horizontal line that passes through point y = -1

See attachment for the graph

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