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The solid that can produce the given two-dimensional shape when sliced vertically is option 2.

When we examine anything vertically, we see it from top to bottom. When something is standing, it is referred to as the alignment.

When we examine objects horizontally, we do it from left to right. When anything is in the sleeping posture, it is known as the alignment.

The given shape is a rectangle. When the rectangular prism is sliced in a vertical manner the solid will represent the given shape that is a rectangle.

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a. The exponential function that is good model for the country population is:

Pₙ = 8100000(1.02)ⁿ ,

b. It will take 5.27 years to reach 9 million.

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Exponential Function Formula

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent.

a. Given,  initial population P₀ = 8100000, Rate of increase R = 2%.

If a constant rate of growth be R% per annum,

then function for population after n years

Pₙ = P₀ x (1+R/100)ⁿ

Population Pₙ = 8100000 × (1+2/100)ⁿ

Pₙ = 8100000(1.02)ⁿ

b. Let after x years population will be 9 million.

then,

9000000 = 8100000 (1 + 2/100)ˣ

(1 + 2/100)ˣ = 9000000/8100000

(1.02)ˣ = 90/81

(1.02)ˣ = 1.11

Taking log on both sides

ln (1.02)ˣ = ln (1.11)

ln(a)ⁿ = n ln(a)

x ln(1.02) = ln (1.11)

x = ln(1.11)/ln(1.02)

x = 5.27 years

Hence, the population will reach 9 million in 5.27 years.

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The equation of the line that passes through two points (1, 4) and (3, 10) is,

y = 3x + 1.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line passes through two points (1, 4) and (3, 10).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of a line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

y - 4 = 6/2 (x - 1)

y = 3x + 1

Therefore, the equation of the line is y = 3x + 1.

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The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.

What is probability and example?

The variety of strategies for success. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

$ 0 and $ 200

This is because both the insured will pay $ 100 premium each , hence total revenue of company can be $ 200 maximum.

The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.

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Answer: The confidence coefficient will be 1.96 (b.)

Step-by-step explanation:

        95% = 0.95 / 2

                = 0.475

No, Erica's calculation is wrong

Answer:

\(9 - 4m = 19 \\ 4m = 9 - 19 \\ 4m = -10 \\ m = \cancel{\frac{-10}{4} } \\ \\ m = \frac{-5}{2} \\ \\ m = - 2.5\)

hope helpful~

Answer:

m=-2.5

Step-by-step explanation:

Answer:

y = x + 6

x is any real number greater than or equal to 0,

and y is any real number greater than or equal to 6.

The formula to determine the value of y, or the total amount of flour that Otto used in the recipe, is y=6x.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The correct equation is y = 6 + x, where y is the total amount of flour and x is the amount of white flour used.

The constraints on the values of x and y are x ≥ 0 (because you cannot use negative flour) and y ≥ 6 (because the minimum amount of flour used is 6 cups, and that is when x = 0).

Any real number more than or equal to 0 and any real number higher than or equal to 6 are the restrictions on the values of x and y, respectively.

So the correct answer is: y = x + 6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

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Answer:

1156

Hope this helps!:)

Magnitude is distance between points

\(\\ \rm{:}\dashrightarrow AB=\sqrt{(2\sqrt{3}-\sqrt{3})^2+(2-1)^2}=\sqrt{3+1}=2units \)

Direction is slope

\(\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{2-1}{\sqrt{3}})\)

\(\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{1}{\sqrt{3}})\)

\(\\ \rm{:}\dashrightarrow \alpha=\dfrac{\pi}{6}\)

Therefore, the appropriate percent in the pie chart to represent the preference for Klean laundry detergent is 15%.

Percent is a way of expressing a fraction or a ratio as a portion of 100. The word "percent" means "per hundred." It is denoted by the symbol "%". Percentages are commonly used to express rates, proportions, or parts of a whole in various fields, such as mathematics, science, finance, and statistics. For example, an interest rate of 5% per annum means that for every 100 units of money, the lender will receive 5 units of interest each year.

Here,

To find the appropriate percent in the pie chart to represent the preference for Klean laundry detergent, we need to calculate the fraction of people who prefer Klean detergent, and then convert it to a percentage.

The fraction of people who prefer Klean detergent is:

75/500 = 0.15

To convert this fraction to a percentage, we can multiply by 100:

0.15 x 100 = 15%

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The dataset of the University of Oregon's football team is an illustration of combination and probability

The given parameters are:

Jersey = 4

Pants = 4

So, the number of jersey/pant combination is:

Combination = 4 * 4

Combination = 16

Hence, there are 16 combinations of jersey/pant

There is only one combination of yellow jersey and green pant from the total of 16 combinations.

So, the probability is:

P = 1/16

Hence, the probability of picking a yellow jersey and green pant is 1/16

See attachment

From the attachment, we have a total of 8 possible combination of shoe and sock

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The elements of \(S = P\,\cap\,(Q\,\cup\,R)\) are \(\{2,3,4\}\).

Let \(P = \{1,2,3,4\}\), \(Q = \{2,4,6,8\}\), \(R= \{3, 4, 5, 6\}\) and \(S = P\,\cap\,(Q\,\cup\,R)\), the characteristics of the two fundamental operations between two sets are described below:

Then, we have that the elements of \(S\) are listed below:

\(S = \{1,2,3,4\}\,\cap\,(\{2,4,6,8\}\,\cup\,\{3,4,5,6\})\)

\(S = \{1,2,3,4\}\,\cap\,\{2,3,4,5,6,8\}\)

\(S = \{2,3,4\}\)

The elements of \(S = P\,\cap\,(Q\,\cup\,R)\) are \(\{2,3,4\}\). \(\blacksquare\)

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Step-by-step explanation:

\( \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} \)

Answer:

73,205

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

(hope this helps)

The value of the card in 2002 ​is $12.00. Hence, relationship between x and y is not proportional to each other in this case.

An equation is an expression that shows the relationship between two or more numbers and variables.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The number of years between 1996 to 2002 would be:

= 2002 - 1996

= 6 years

The relationship that is relating the value of the card y in dollars and the number of years x the player has been in retirement can be expressed as an equation in the form of the following;

y = 5.54 + 1.06x

where x = 6 years

y = 5.54 + 1.06(6)

y = 5.54 + 6.36

y = $12.00

The value of the card in 2002 ​is $12.00.

The relationship between x and y is not proportional to each other in this case.

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Answer:

69.23%

Step-by-step explanation:

\(\frac{90}{120}\) × 100

=69.23

∴ You would own 69.23% of the litecoin

Answer:

An equivalent expression = 8b + (-4)

Step-by-step explanation:

In Mathematics, numbers exhibit or are guided by certain properties that they can show.

Some of those of properties are :

a) Commutative property where:

a + b = b + a

b) Associative property

a+( b + c) = (a + b) + c

c) Additive inverse property

a - b = a + ( - b)

For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.

An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.

Hence, using the Additive inverse property

a - b = a + ( - b)

The equivalent expression for 8b - 4 = 8b + ( -4)

Answer:

w = 4

Step-by-step explanation:

10(2)-4(-w)=36

20+4w=36

4w=36-20

4w=16

w=16/4

w=4

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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India has one of the youngest populations in the world, and this demographic dividend has the potential to drive the country's economic growth in the coming years.

The BRICS (Brazil, Russia, India, China, and South Africa) are a group of five major emerging economies that are expected to play a significant role in the world economy in the coming years. Among these countries, India is known to have one of the youngest populations in the world, with an average age of 28.1 years.

India has a population of approximately 1.3 billion people, and it is projected to become the world's most populous country by 2027. The country has a large youth population, with about 50% of its population below the age of 25 and around 65% below the age of 35. This young population has the potential to be a significant asset for the country's economic growth, provided that adequate employment opportunities are created.

The youth in India are increasingly educated and tech-savvy, and they are playing a vital role in the country's growth story. India has a growing middle class, and this group of young, educated, and skilled individuals is driving the country's consumption story. The government of India has also launched several initiatives to harness the potential of the youth, such as Skill India, Make in India, and Digital India, to name a few.

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Answer:

It's option 2

Step-by-step explanation:

parallel to the x-axis basically means that it mirrors the x-axis since parallel lines have the same slope. since the question wants the graph with the line that is also below the x-axis, the correct graph would be option 2

Answer:

Option 2 is parallel to the x axis because only option 1 and 2 are a line across and option 1 is 3.2 units above.

Answer:

He is using the commutative property of multiplication.

A real number is in between 14 square root and 15 square root is 3.8.

It should be noted that real numbers include rational and irrational numbers.

✓14 = 3.74

✓15 = 3.87

Therefore, a real number is in between 14 square root and 15 square root is 3.8.

It should be noted that this implies a number that can be sent between the square roots.

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Answer:

12

Step-by-step explanation:

Hello. Y/x = a constant k because y and x are by definition always in the same ratio. (y varies directly as x so if x is doubled y is also doubled etc.)

Answer:

The percentage of crayons with orange shades is 23%.

Process:

(15*100)/64

1500/64

23.4375

Rounding to the nearest number is 23.

Answer:

Step-by-step explanation:

-5a^2+ 5a factors as follows:  -5(a - 1) (so -5 goes into the blank space).

 18x^2 + 2x³ factors as follows:  2x^2(x + 9) (so 2x^2 goes into the blank    space)

Answer:

156

Step-by-step explanation:

n times the constant of proportionality = a

so n will always 156 times greater