the product of 7 x 2/21

The value of gravitational force between two masses is,

⇒ Gravitational force (F) = 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Two masses are,

m₁ = 6

m₂ = 8

d = 4

Now, We know that;

Gravitational force (F) = m₁ m₂ / d²

Substitute all the values we get;

Gravitational force (F) = m₁ m₂ / d²

Gravitational force (F) = 6 × 8 / 4²

Gravitational force (F) = 48/16

Gravitational force (F) = 3

Thus, The value of gravitational force between two masses is,

⇒ Gravitational force (F) = 3

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The amount of urea per square meter in form of fraction will be 6/29 ounce/meter².

What exactly is a fraction?

In mathematics, a fraction is used to represent a piece or part of a whole. It symbolises the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given that Total area=58 square meter

Total Urea used=12 ounce

then urea used for 1 square meter=12/58

=6/29 ounce/meter².

Hence,

          The amount of urea per square meter in form of fraction will be 6/29 ounce/meter².

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Answer:

[tex]\huge\boxed{\sf (x - 9)(x + 2)}[/tex]

Step-by-step explanation:

x² + 7x - 18

Using mid-term break formula.

So,

= x² - 9x + 2x - 18

Now, take x from (x² - 9x) and 2 from (2x - 18) common

= x(x - 9) + 2(x - 9)

Take (x - 9) common

[tex]\rule[225]{225}{2}[/tex]

If a data set is skewed to the left, meaning that it has a long tail to the left (lower values), then the mean will be lower than the median. The median is less sensitive to outliers than mean.

In a data set that is skewed to the left, the mean will be less than the median. The term "skewed to the left" or "negative skewed" refers to the fact that the distribution of the data has a longer tail on the left side (towards smaller values) than on the right side.

When a data set is skewed to the left, it means that there are more lower values than higher values. As a result, the median (which is the middle value) will be larger than the mean (which is the average of all the values). The mean will be pulled down towards the lower values, making it smaller than the median.

For example, consider the following data set: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The mean of this data set is 5.5, while the median is 5.5. However, if we add several low values to the data set, it will become skewed to the left: 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10.

The mean of this data set is now 4.5, while the median is still 5.5. The mean has moved towards the lower values, making it smaller than the median.

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The amount ali paid in tax is $1.71.

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

We are given that;

Cost of coat=$38

Rate= 4.5%

Now,

To find out how much Ali paid in sales tax, we need to multiply the purchase price by the sales tax rate:

Sales tax amount = Purchase price x Sales tax rate

Sales tax rate = 4.5% = 0.045 (in decimal form)

Purchase price = $38

Sales tax amount = $38 x 0.045 = $1.71

Therefore, by the given rate Ali paid $1.71 in sales tax.

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Answer:

Step-by-step explanation:

Y is 2 when X is 6

Answer:

the solution to the equation 2x^+4=8^x is x = 1.

Step-by-step explanation:

To solve the equation 2x^+4=8^x, we can start by simplifying both sides of the equation.

First, we can rewrite 8^x as (2^3)^x, using the property that 8 is equal to 2 raised to the power of 3.

So, the equation becomes:

2x^+4 = (2^3)^x

2x^+4 = 2^(3x)

Next, we can rewrite 2x^+4 as 2^2 * 2^x, using the property that a^b * a^c = a^(b+c).

So, the equation becomes:

2^2 * 2^x = 2^(3x)

2^(x+2) = 2^(3x)

Now, we can equate the exponents on both sides of the equation:

x + 2 = 3x

2x = 2

x = 1

Therefore, the solution to the equation 2x^+4=8^x is x = 1.

Answer:

Below

Step-by-step explanation:

2  x^4  =  8^x        <====not sure syntax is correct(?)

Solving GRAPHICALLY shows x = - .61181

The side lengths form a proportional relationship, and the ratios are;

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

Similar triangles are triangles that share these two features presented as follows:

First is Congruent angle measures, then Proportional side lengths.

Here, the triangles are similar, because they have the same angle measures.

17.955/11.97 = 14.565/9.71

= 5.415/3.61.

Thus, the side lengths form a proportional relationship, have a ratio of 1.5.

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The volume of the new box is 30 units³.

We can infer the roots are rational integers from the response options, thus this polynomial ought to be simple to factor. The coefficients of x must multiply by 10, hence they must be in some sequence of 5, 2, 1 or 10, 1. Since we can try each one separately, we can express the factored form as follows:

                                      (5x-p)(2x-q)(x-r)

Due to the fact that p, q, and r must multiply to 6, they must be either 3, 2, 1 or 6, 1, 1 in some sequence. Once more, we may test each one in a different place to determine if they multiply properly.

When we multiply the x-terms and attempt (5x - 2)(2x - 1)(x - 3), the answer is 29. Try adding the x² terms together, they equal -39. Consequently, the roots are 2/5, 1/2 and 3 Now if you add 2 to each root, you get the volume is

= 12/5 × 5/2 × 5 = 30 units³

Therefore, The volume of the new box is 30 units³.

The question is incomplete. The complete question is:

"the roots of the polynomial 10x³ - 39x² + 29x - 6 are the height, length, and width of a rectangular box (right rectangular prism). a new rectangular box is formed by lengthening each edge of the original box by 2 units. what is the volume of the new box?"

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Differentiation of trigonometric functions has wide-ranging applications in many fields, including physics, engineering, finance, and signal processing. It is used to calculate rates of change, solve optimization problems, model signals, analyze experimental errors, and more.

The applications of differentiation of trigonometric functions are wide-ranging and can be found in many fields, including science, engineering, and finance. Some specific applications of differentiation of trigonometric functions include:

1. Calculating rates of change: In physics, the rates of change of trigonometric functions (such as the velocity and acceleration of a moving object) can be calculated using differentiation.

2. Optimization problems: In engineering and other fields, optimization problems involving trigonometric functions (such as finding the maximum or minimum value of a function) can be solved using differentiation.

3. Signal processing: In electrical engineering and telecommunications, trigonometric functions are used to model signals and their derivatives are used to calculate signal properties such as frequency and amplitude.

4. Financial mathematics: In finance, trigonometric functions can be used to model interest rates and other financial phenomena, and differentiation can be used to calculate financial derivatives such as options.

5. Error analysis: In scientific research, differentiation can be used to analyze experimental errors and estimate uncertainties in measurements.

These are just a few examples of the many applications of differentiation of trigonometric functions. The use of trigonometric functions and their derivatives is widespread and plays a critical role in many fields of study.

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The Laplace transform table contains properties and formulas for common transforms, as well as the inverse Laplace transform and the shift theorem. It also includes properties such as linearity, scaling, and time shifting.

The Laplace transform table is an important tool for solving linear differential equations. It contains information about common transformations and their associated formulas, as well as the inverse Laplace transform and the shift theorem. The table also includes properties such as linearity, scaling, and time shifting. Linearity states that if a function f(t) is a linear combination of two functions f1(t) and f2(t), then its Laplace transform F(s) is the sum of the Laplace transforms of f1(t) and f2(t). Scaling states that if a function f(t) is multiplied by constant k, then its Laplace transform F(s) is divided by k. Time shifting states that if a function f(t) is shifted by x units in time, then its Laplace transform F(s) is multiplied by [tex]e^(-sx)[/tex]. These properties can be used to simplify Laplace transforms and to solve linear differential equations. The Laplace transform table is a useful tool for engineers and physicists who use linear differential equations in their work.

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Answer: 266256π

Step-by-step explanation:

♡ Hope this helps ♡

Answer:

Step-by-step explanation:

a) The area covered by algae 10 days after it was first spotted is approximately 32.64 square meters.

b) We can find the area covered by algae one day after it was first spotted by multiplying [tex]12.5^{1/7}[/tex] by 2.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

a.

To find the area covered by algae 10 days after it was first spotted, we need to convert 10 days into weeks, since the growth rate is given in terms of weekly doubling.

There are 7 days in a week,

So 10 days are approximately 1.43 weeks (10/7).

Let A be the area covered by algae in square meters after n weeks.

Then we can use the formula for exponential growth:

A = 12.5 x [tex]2^n[/tex]

Substituting n = 1.43, we get:

A = 12.5 x [tex]26^{1.43}[/tex]

A ≈ 32.64

Therefore,

The area covered by algae 10 days after it was first spotted is approximately 32.64 square meters.

b.

We know that the area covered by algae doubles each week.

One week is equivalent to 7 days, so after one week, the area covered by algae will be twice the initial area of 12.5 square meters, or 25 square meters.

We can represent this mathematically as:

A = 12.5 x [tex]2^1[/tex]

Now, let's consider what happens after two weeks, or 14 days.

The area covered by algae will double again, so it will be four times the initial area of 12.5 square meters or 50 square meters.

We can represent this mathematically as:

A = 12.5 x 2²

Using the same reasoning, we can find that after three weeks (21 days), the area covered by algae will be eight times the initial area or 100 square meters:

A = 12.5 * 2³

In general, we can see that after n weeks, the area covered by algae will be 2^n times the initial area of 12.5 square meters. This can be written as:

A = 12.5 x [tex]2^n[/tex]

If we want to find the area covered by algae after one day, we can use the fact that one day is equivalent to 1/7 of a week.

So, after one day, the area covered by algae will be:

A = 12.5 x [tex]2^{1/7}[/tex]

Simplifying this expression using the laws of exponents, we get:

A = [tex]12.5^{1/7}\times2[/tex]

Therefore,

We can find the area covered by algae one day after it was first spotted by multiplying [tex]12.5^{1/7}[/tex] by 2.

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Answer:

  BC = 100°

Step-by-step explanation:

You want the measure of arc BC formed by two chords that intersect at 85° and intercept an opposite arc of 70°.

The angle formed by crossing chords is the average of the angles they intercept. Here, that means ...

  85° = (? +70°)/2 . . . . the crossing angle is 85°

  170° = ? +70° . . . . . . multiply by 2

  100° = ? . . . . . . . . . subtract 70°

The intercepted arc BC is 100°.

The required number of fluid ounces used are calculated to be 32 fluid ounces.  

A fluid ounce has a liquid capacity of 1/16 of a US liquid pint or 1/128 of a US gallon in the US system and 1/20 of a pint or 1/160 of an Imperial gallon in the imperial system.

In each cup, there are known to be 8 fluid ounces.

A recipe is said to be made up of 4 cups of milk.

The total number of fluid ounces used are to be calculated.

1 cup → 8 fluid ounces

4 cups → 4 × 8 = 32 fluid ounces

Thus, the required number of fluid ounces used are calculated to be 32 fluid ounces.  

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The volume unit milliliter (mL) can be converted to tablespoon (tbsp). One tablespoon is equal to 15 milliliters, so 20 milliliters is equal to 1.333 tablespoons

. This conversion can be done by dividing 20 milliliters by 15 milliliters to get the exact number of tablespoons. The formula for this conversion is:Tablespoons = Milliliters ÷ 15 .The calculation for 20 milliliters is as follows: Tablespoons = 20 mL ÷ 15 .Tablespoons = 1.333 tbsp.Therefore, 20 milliliters is equal to 1.333 tablespoons. To convert other volumes of milliliters to tablespoons, you can use the same formula and calculation. For example, if you want to convert 30 milliliters to tablespoons, you would use the formula: Tablespoons = Milliliters ÷ 15 Then calculate: Tablespoons = 30 mL ÷ 15 Tablespoons = 2 tbsp,In conclusion, the conversion of milliliters to tablespoons can be done using the formula: Tablespoons = Milliliters ÷ 15. When using this formula, the number of tablespoons is calculated by dividing the volume of milliliters by 15. For example, 20 milliliters is equal to 1.333 tablespoons and 30 milliliters is equal to 2 tablespoons.

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You only showed one btw.

75%=3/4

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

If we know that percentages are fractions of 100, we know that 75% is equivalent to [tex]\frac{75}{100}[/tex].

Simplifying [tex]\frac{75}{100}[/tex]:

Therefore, 75% as a simplified fraction is [tex]\frac{3}{4}[/tex].

Answer:

Step-by-step explanation:1/3

The measurement of the line segment to the nearest 1 / 4 inch is C. 5 ³ / ₄ inches.

To measure the line segment, you should look at the length of the line segment, while taking into account the measurements between the integrals.

There are 3 sections between each integral, with the suceeding integral being the 4 the section. Seeing as there are 4 sections therefore, it means that each section accounts for :

= 1 / 4 inches

The last integral is 5 inches and then there are 3 section after that. The measurement of the line segment then is:

= 5 + ( 3 x 1 / 4 )

= 5 + 3 / 4

= 5 ³ / ₄ inches

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The question is:

Measure the line segment

Answer:

decay

Step-by-step explanation:

Because you are dying every second of the day and are growing only when your body is resting

Answer:

hey, good morning! the answer to this equation is growth!

Step-by-step explanation:

because if you figure out what 115% is as a decimal which is 1.15. and this decimal is above 1.

good luck!

The change in temperature from yesterday to today is -15 degrees Celsius.

Subtraction is a mathematical operation that involves finding the difference between two numbers. In other words, it's the process of removing one number from another number. For example, if you have two numbers, 5 and 3, and you want to find their difference, you would subtract the smaller number (3) from the larger number (5), resulting in the answer of 2. The symbol for subtraction is a minus sign (-). So, the subtraction of 3 from 5 can be written as 5 - 3 = 2.

Here,

The calculation is as follows:

Change in temperature = Today's temperature - Yesterday's temperature

Change in temperature = 0 degrees Celsius - 15 degrees Celsius

Change in temperature = -15 degrees Celsius

The temperature has dropped by -15 degrees Celsius from yesterday to today.

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The required value of the scooter after 5 years will be $1,120.

Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%". For example, if there are 20 students in a class and 5 of them are boys, the percentage of boys in the class can be calculated as follows:

Percentage of boys = (Number of boys / Total number of students) x 100%

After 5 years, the scooter will depreciate by 65%, which means its value will be reduced to 35% of its original value.

35% of $3,200 = 0.35 x $3,200 = $1,120

Therefore, the value of the scooter after 5 years will be $1,120.

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(I ignored the seven, I'm sorry if I'm wrong.)

6.86x2

6.86x2=13.72

13.72$

The probability that it would have to land on tails is 1

The coin is known to have two sides.

The two sides of a coin are the head and the tail

the probability of head is given as 50 percent

The probability of tail is also given as 50 percent

Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as

2 * 50 percent

= 2 * 0.5

= 1

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Answer:  20:12

Step-by-step explanation:

Answer:

15:9

Step-by-step explanation:

multiply both by 3,4,5,6,7,8,9,etc.

Answer:

A = ( a + b ) 2 × h .

Step-by-step explanation:

A=*124+b)2×h

The ratio of the short side to the long side is 9/4 and the ratio of the hypotenuse to the long side is 5/4.

What is triangle ?

A triangle is a two-dimensional shape with three straight sides and three angles. It is one of the most basic and important shapes in geometry.

The three sides of a triangle can be of different lengths, or they can be of the same length, in which case it is called an equilateral triangle. The angles of a triangle can also vary, and they always add up to 180 degrees. Triangles can have acute angles (less than 90 degrees), right angles (exactly 90 degrees), or obtuse angles (greater than 90 degrees).

According to given information :

Ratio of short to long sides:

x/9 = 9/4

To solve for x, we can cross-multiply:

4x = 9 * 9

4x = 81

x = 81/4

So the ratio of the short side to the long side is:

x/9 = (81/4) / 9 = 81/36 = 9/4

Ratio of hypotenuse to long sides:

y/9 = 15/12

To solve for y, we can cross-multiply:

12y = 9 * 15

12y = 135

y = 135/12 = 45/4

So the ratio of the hypotenuse to the long side is:

y/9 = (45/4) / 9 = 45/36 = 5/4

Therefore, the ratio of the short side to the long side is 9/4 and the ratio of the hypotenuse to the long side is 5/4.

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