6(5 + 9r) - 4h use r = 8 and h = 4

The number 1.07  × 10⁸ in standard form is 107,000,000.

To write 1.07 × 10⁸ in standard form, we need to move the decimal point to the left or right such that there is only one non-zero digit to the left of the decimal point.

In this case, we have 1.07 × 10⁸, which means we have a value of 1.07 times 10 raised to the power of 8. To convert this to standard form, we need to move the decimal point 8 places to the right since 10 is being raised to the power of 8.

1.07 × 10⁸ = 107,000,000

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There is no general rule that says a system of linear equations cannot have exact solutions that are integers greater than 1. The existence of such solutions depends on the specific coefficients and constraints of the system

It is not true that a system of linear equations cannot have exact solutions that are integers greater than 1. In fact, there are many systems of linear equations that have such solutions.

However, there are certain types of systems of linear equations that do not have integer solutions, or may not have any solutions at all. For example, if the coefficients of the variables in the equations are irrational numbers, then it is possible that the system has no integer solutions.

Furthermore, some systems of linear equations may have solutions that are not integers, but are instead fractions or irrational numbers. This is because the solutions to a system of linear equations are determined by the intersection points of the lines or planes that represent the equations, and these intersection points may not always fall on integer coordinates.

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The required length for line segment K'N' is 9 units. So correct option is C.

A trapezoid is a two-dimensional geometric shape that is defined as a quadrilateral with one pair of parallel sides. It is also known as a trapezium in some countries. The other two sides of a trapezoid are typically non-parallel and can be of different lengths.

Trapezoids can be classified into two types: isosceles trapezoids and non-isosceles trapezoids. Isosceles trapezoids have equal lengths of the non-parallel sides, while non-isosceles trapezoids have unequal lengths.

The area of a trapezoid can be calculated using the formula: (base1 + base2) x height / 2, where base1 and base2 are the lengths of the parallel sides, and height is the perpendicular distance between the parallel sides.

The perimeter of a trapezoid can be calculated by adding the lengths of all four sides together. If the trapezoid is isosceles, the perimeter can be calculated using the formula: 2 x (side length) + (sum of the lengths of the parallel sides).

Trapezoids can also be used to solve problems in real-world situations, such as calculating the area of a trapezoidal roof or finding the distance between two parallel lines. They are also commonly used in geometry problems and proofs.

In summary, a trapezoid is a quadrilateral with one pair of parallel sides. It can be classified as isosceles or non-isosceles and can be used to calculate area and perimeter, as well as solve problems in geometry and real-world situations.

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If A sheet of paper is 0.00005 meter thick, the thickness of a sheet of paper in nanometers is 50,000 nanometers. Option A is correct answer.

To convert the thickness of a sheet of paper from meters to nanometers, we need to multiply by the conversion factor of 1 meter / 1 x 10^-9 nanometers.

First, we need to convert the thickness of the paper from meters to nanometers. We can do this by multiplying the thickness in meters by the conversion factor:

0.00005 meter x (1 x 10^-9 nanometers / 1 meter) = 50 nanometers

It's important to understand the concept of scientific notation when dealing with extremely large or small numbers. In this case, we use scientific notation to express the size of a nanometer, which is a billionth of a meter. By expressing the conversion factor in scientific notation, we can easily move the decimal point to convert between units.

Therefore , the correct option is A.

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Complete question is:

A sheet of paper is 0.00005 meter thick. One nanometer is 1 x 10-meter. How thick is a sheet of paper in nanometers?

A. 50,000

B. 500,000

C. 50,000,000,000,000

D. 500,000,000,000,000

Yes we can say that 10 mm is a conversion factor because it is equals to 1 cm and that is what conversion factor is.

A millimetre is a unit of measurement smaller than a metre. Because of something called conversion factors, I know that a mm is smaller than a m.

Simply said, a conversion factor is a number that may be multiplied or divided to convert one set of units to another. Hence, when we need to translate 10 millimetres to centimetres, we utilise a conversion factor.

The mm to m conversion factor is:

10 mm = 1 cm

We can simply compute the conversion of 10 mm to m now that we know the conversion factor by multiplying 0.001 by the amount of millimetres we have, which is 10.

10 x 0.1 = 1 cm

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Answer:

Option 3: about 14 inches

Step-by-step explanation:

The notebook paper is in the form of a rectangle of length

[tex]l = 11[/tex] inches and width [tex]w = 8.5[/tex]  inches

The diagonal of such a rectangle is given by the Pythagorean formula
[tex]d = \sqrt{l^{2} + w^{2}}[/tex]

Substituting the values of [tex]l[/tex] and [tex]w[/tex]:

[tex]d = \sqrt{11^{2} + 8.5^{2}}\\\\d = \sqrt{121 + 72.25}\\\\d = \sqrt{193.25}\\\\d= 13.9014\;inches[/tex]

This corresponds to Option 3: about 14 inches

Answer:

-2+sqrt(2)i and -2-sqrt(2)i

Step-by-step explanation:

use system of equations

xy = 6

x+y=-4

(-4-y)y=6

-y^2 -4y + 6 = 0

Use quadratic formula

y = -2 ± sqrt(2)i

Now substitute

x + (-2 ± sqrt(2)i) = -4

X = -4-(-2±sqrt(2)i) = -2±sqrt(2)i

are you sure you typed the question right?

Answer:

122.5 feet

Step-by-step explanation:

[tex]\frac{4}{35}[/tex] = [tex]\frac{14}{x}[/tex]  cross multiply and solve for x

4x = 490  Divide both sides by 4

x = 122.5

The slope of each line on the given graph is:

Figure 1: -1/4

Figure 2: 0

Figure 3: -4

Figure 4: 4

The slope (m) of a linear relationship is calculated as rise/run = change in y / change in x.

Figure 1:

Slope (m) = change in y / change in x = -1/4 (the line declines, so the slope will be negative).

Figure 2:

Slope (m) = 0 (this is because there is no rise but run), thus, the slope of any horizontal line is always 0.)

Figure 3:

Slope (m) = change in y / change in x = -4/1 = -4 (the line declines, so the slope will be negative).

Figure 4:

Slope (m) = change in y / change in x = 4/1 = 4 (the line rises, so the slope will be positive).

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The time 10 pm can be expressed in military time as 2200 hours .

In military time, the hours of the day are expressed in a 24-hour format,

The time starts from 0000 (midnight) hours and goes up to 2359 (11:59 PM) hours.

To convert a time from the standard 12-hour clock to military time, we add 12 hours to any time in the afternoon or evening .

In this case , to convert 10 PM to military time, we add 12 hours to the time ;

⇒ 10 PM + 12 hours = 22:00 hours or 2200 hours ;

Therefore, 10 PM in military time is 2200 hours.

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Answer:

D. X/3=1

Step-by-step explanation:

A. 8x = 28

8(3) = 28

24 = 28

Option A is wrong

B. x - 19 = 16

3 - 19 = 16

-16 = 16

Option B is wrong

C. 28 + 3 = 25

31 = 25

Option C is wrong

D. X/3=1

3/3 = 1

1 = 1

Option D is correct.

The solution to the system of linear equation by substitution method is as follows :  x = 1 and y = -3

6x − 9 = y

y = −3x

let's substitute the value of y in the first equation as follows;

6x - 9 = -3x

add -3x to both sides of the equation

6x + 3x - 9 = -3x + 3x

9x - 9 = 0

add 9 to both sides of the equation

9x - 9 + 9 = 0 + 9

9x = 9

divide both sides by 9

x = 9 / 9

x = 1

let's find y by substituting the value of x in the second equation

y = -3x

y = -3(1)

y = -3

Therefore, x = 1 and y = -3

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Answer:

4.5%

Step-by-step explanation:

The total percentage decrease in the investor's stock account was 4.5%. This is calculated by taking the decrease in Company A (3%) and Company B (6%) and adding them together to get a total decrease of 9%. This percentage is then divided by two (since there are two companies) to get 4.5%.

Answer:

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

calculate

The length of B'C' is 15k.

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

ABCD is the original image and A'B'C'D' is the dilated image.

BC is having length of fifteen units.

We need to find B'C'

Let k be the scale factor.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

B'C'=kBC

B'C'=15K

Hence, the length of B'C' is 15k.

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Answer:

X Y

2 2

4 12

6 30

8 56

The minimum number of x intercepts is 1.

( Table attached)

What is the x-intercept?

The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.

For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis, or we can say that it is the value of the x coordinate at a point where the value of the y coordinate equals zero.

The minimum number of x intercepts is 1.

With a positive leading coefficient an odd degree polynomial will start negative and end positive. With a negative leading coefficient an odd degree polynomial will start positive and end negative.

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Answer:c

Step-by-step explanation:

Answer:

86.1825503

Step-by-step explanation

190 pounds to kg is 86.1825503

54 centimetres, rounded to two decimal places, is comparable to around 21.26 inches.

The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.

It is the unit of length.

Furthermore, length is measured in centimetres,

Used in the International System of Units,

This is the metric system's present configuration.

There are 21.26 inches in 54 cm (centimeters).

To convert centimeters to inches,

You can use the following conversion:

1 inch = 2.54 cm

Therefore,

To convert 54 cm to inches,

You can divide 54 by 2.54:

54 cm / 2.54 = 21.26 inches

So 54 cm is equivalent to approximately 21.26 inches,

Rounded to two decimal places.

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The solution is, the value is 17.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

from the diagram we get,

it is a right angled triangle.

now, we know, by Pythagorean theorem ,

15^2+ 8^2

=225+ 64

=289

=17^2

Hence, The solution is, the value is 17.

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The area of the segment is 28.92 unit square

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

Angle, θ = 50 degrees

Radius, r = 15 units

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

Area of a segment =  (½) × r² × [(π/180)(θ – sin(θ)]

Substitute the known values in the above equation, so, we have the following representation

Area of a segment =  (½) × 15² × [(π/180)(15 – sin(15 degrees)]

Evaluate

Area of a segment =  28.92

Hence, the area is 28.92

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Answer:

0.80*c = 20

Step-by-step explanation:

"80% of c is 20" can be written as:

  0.80*c = 20

80% of c is 0.80*c

"is" can be written as "="

Put these two together to obtain:

  0.80*c = 20

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.

The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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The correct option is (d) if A is divided by 2, B is divided by approximately 1.414.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
If A varies inversely as the square of B, it means that A is equal to some constant k divided by the square of B:

A = k/B²

To find the effect on B when A is multiplied by 4, we can use the inverse variation formula and substitute 4A for A,

4A = k/B^2

Simplifying this expression, we get:

B² = k/(4A)

To find the effect on B when A is multiplied by a certain factor, we can use this formula and substitute the new value of A,

a) If A is multiplied by 1.5:

1.5A = k/B²

B² = k/(1.5A)

The effect on B depends on the value of k and the original value of B, which are not given. So we cannot determine the effect on B with the information given.

b) If A is multiplied by 4:

4A = k/B²

B² = k/(4A)

Since 4A is four times the original value of A, B^2 will be divided by 4, so B will be multiplied by √4, which is 2. Therefore, when A is multiplied by 4, B is multiplied by 2.

c) If A is multiplied by 2:

2A = k/B²

B^2 = k/(2A)

Since 2A is half the original value of A, B^2 will be multiplied by 2, so B will be divided by √2, which is approximately 1.414. Therefore, when A is multiplied by 2, B is divided by approximately 1.414.

d) If A is divided by 2:

A/2 = k/B²

B² = k/(A/2)

Since A/2 is half the original value of A, B² will be multiplied by 2, so B will be divided by √2, which is approximately 1.414. Therefore, when A is divided by 2, B is divided by approximately 1.414.

Therefore, the correct option is (d) if A is divided by 2, B is divided by approximately 1.414.

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Diane's monthly payment for borrowing $3,000 at 13.5% APR over 36 months is $101.81.

We can use an online finance calculator to compute the monthly payment, setting the following parameters.

The monthly payment shows the periodic payment that must be made to settle the loan with the finance charges.

N (# of periods) = 36 months

I/Y (Interest per year) = 13.5%

PV (Present Value) = $3,000

FV (Future Value) = $0

Results:

Monthly payments (PMT) = $-101.81

Sum of all periodic payments = $-3,665.01

Total Interest = $665.01

Thus, Diane will pay $101.81 monthly for 36 months.

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The conversion of 23/32 cm in inches is 0.283464844 inches.

Centimeter (cm) and inch are both units of measurement used to express length or distance.

Centimeter is a metric unit of length used in the International System of Units (SI) and is equal to one hundredth of a meter.

To convert 23/32 centimeters (cm) to inches, we can use the conversion factor of 1 cm = 0.393701 inches.

First, we can convert 23/32 cm to cm as a decimal by dividing the numerator (23) by the denominator (32):

23/32 cm = 0.71875 cm

Then, we can use the conversion factor to convert 0.71875 cm to inches:

0.71875 cm × 0.393701 inches/cm = 0.28346484375 inches (rounded to nine decimal places)

Therefore, 23/32 cm is approximately equal to 0.283464844 inches.

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Correct Question:

What is the conversion of 23/32 cm in inches ?

Answer:

The number line with the added values would look as follows:

< -40/8 -5 ⟳ √3 -4 5/8 -3 √16 -2 7/12 -1 0 1 2 3 ^3√27 4 5 >

The inverse of the given function could be; y = √x / 7 + 8

Suppose that the given function is [tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

This simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

We have been given the function as g(x)=7(x-8)² +3 for 8 ≤ x < ∝

Function that can reverse into another function is known as an inverse function or anti function to find y when x is swapped with another variable, we must first determine the inverse function.

On the other hand, the inverse function and the original function have interchangeable domains and ranges.

y = 7(x-8)²

(x-8)² = y/7

x - 8 = y / 7

x = √y / 7 + 8

Or

y = √x / 7 + 8

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To calculate the deposit, we need to add up the amounts of the two checks and the cash: $90.50 + $90.50 + $45.00 + $150.00 = $376.00. Therefore, the deposit is $376.00.

The problem asks us to calculate the deposit amount for two checks of $90.50 each, and cash of $45.00 and $150.00. To solve the problem, we simply add up the amounts of the checks and cash to find the total deposit amount. Adding $90.50 and $90.50 gives us $181.00, and adding this to the cash amounts of $45.00 and $150.00 gives us a total of $376.00. Therefore, the deposit amount is $376.00. This is the total amount of money that will be added to the account when the checks and cash are deposited.

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