Please Help Me I need help

Please Help Me I Need Help

Answers

Answer 1

In response to the stated question, we may state that therefore, the expressions value of vector will be n = 25.73.

what is expression ?

An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

to find vector and magnitude we have

[tex]n^2 = (22.5)^2 + (12.5)^2\\n^2 = 506.25 + 156.25\\n^2 = 662.5\\n = \sqrt(662.5)\\n = 25.73[/tex]

therefore, the value of vector will be n = 25.73.

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Related Questions

Please I really need the help I only have 30 minutes left this is my second attempt at this

Answers

The correct option is the second one, your supervisor did not divide by the total number of bags.

What mistake did your supervisor did?

Here we can see a table with the size of each bag (in grams) and the number of sold bags.

Now, remember that for a set of N numbers {x₁, ..., xₙ} the mean is:

M = (x₁ + x₂ + ...)/N

So the denominator is the amount of elements in the set.

Then here in the denominator we should see the total number of bags sold, which is:

25 + 32 + 40 + 18 = 115

That number should be in the denominator instead of the sum of the masses.

Then the correct option is the second one.

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the medians of a triangle intersect at the ___

Answers

Answer:

orthocentre

Step-by-step explanation:

this is the answer to your question

WILL GIVE BRIANLIST TO BEST ASNWWR

Richard buys a new car for $28,000. The car depreciates in value by 9% each year. Which of the following uses the variable y to represent the value of the car after t years in an exponential model to represent the situation?

y=28,000(1.09)

y=28,000(91)

y-28,000(-9)

y=28,000(0.09)

Answers

The variable y is used to represent the worth of the car after t years like an exponential model to reflect the scenario, and the third option, y=28,000(0.91)t, is the correct response.

The formula for the exponential model is what?

A = A0(b)t/c is the formula for an exponential model, where A0 denotes the starting quantity of the thing being modeled. t stands for passing time. The quantity at time t is equal to A.

The exponentially decaying formula for an asset's value over time with such a consistent rate of depreciation is: y = a(1-r)t

Where:

Y is equal to the car's value after t years.

In this scenario, the car's original value is $28,000, and its rate of depreciation is 9%, or 0.09 in decimal notation.

t equals the amount of years

The exponential model can be expressed using the following formula: y = 28,000(1-0.09)t

By condensing the formula, we obtain the following result: y = 28,000(0.91)t

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Find the missing dimension of the triangle.

Area = 14 ft²
6 ft
b

b = ? ft

help pls I'll mark brainlisest ​

Answers

Area = 1/2bh
14 = 1/2 (b)6
Multiply by 2
28= 6(b)
Divide by 6
28/6 = b

Carrie drove 7 hours to a beach house for spring break. She spent the first hour averaging 30 miles per hour. After that, she spent the next 4 hours at an average speed of 65 miles per hour. She finished the last part of her drive averaging 52 miles per hour. Write a piecewise function to represent that total distance d (in miles) that carrie has traveled after t hours

Answers

the function d(t) represents the total distance (in miles) traveled by Carrie after t hours, where t is the time elapsed since the start of her journey.

To write a piecewise function to represent the total distance Carrie has traveled after t hours, we need to break down her journey into different parts and calculate the distance covered during each part.

Let's define the three different parts of her journey:

•Part 1: The first hour, during which she averaged 30 miles per hour

•Part 2: The next 4 hours, during which she averaged 65 miles per hour

•Part 3: The remaining 2 hours, during which she averaged 52 miles per hour

For Part 1, the distance covered can be calculated as:

d1 = 30t (where t is the time spent in the first hour, t ≤ 1)

For Part 2, the distance covered can be calculated as:

d2 = 260 + 65(t - 1) (where t is the time spent in the next 4 hours, 1 < t ≤ 5)

For Part 3, the distance covered can be calculated as:

d3 = 520 + 52(t - 5) (where t is the time spent in the remaining 2 hours, 5 < t ≤ 7)

Now, we can combine these three equations to form a piecewise function for the total distance traveled by Carrie:

d(t) = 30t, 0 ≤ t ≤ 1

d(t) = 260 + 65(t - 1), 1 < t ≤ 5

d(t) = 520 + 52(t - 5), 5 < t ≤ 7

Therefore, the function d(t) represents the total distance (in miles) traveled by Carrie after t hours, where t is the time elapsed since the start of her journey.

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number of calls coming to the customer care center of a mobile company per minute is a poisson random variable with mean 5. find the probability that no call comes in a certain minute

Answers

The given information says that the number of calls coming to the customer care center of a mobile company per minute is a Poisson random variable with a mean of 5, So the probability that no call comes in a certain minute is 1

What is the Poisson distribution?

                 A Poisson distribution is a probability distribution that shows the probability of a certain number of events occurring within a specific time or space, provided that these events occur at an average rate that is constant throughout the space or time.

             Given a Poisson random variable with mean λ, the probability of observing x occurrences of an event in a certain time interval is given by:

                          P(X = x) = (e^(-λ) * λ^x) / x!,

             where e is Euler's number (approximately equal to 2.71828).

We are required to find the probability that no call comes in a certain minute, i.e., P(X = 0).

Substituting the given values into the Poisson distribution formula:

                     P(X = 0) = (e^(-5) * 5^0) / 0!

                                   = (1 * 1) / 1

                                   = 1

    Therefore, the probability that no call comes in a certain minute is 1.

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The sales tax rate is 10%. If Ariana buys a cowboy hat priced at $25, how much tax will she pay?

Answers

Answer:

$27.50

Step-by-step explanation:

If the sales tax rate is 10%, then Ariana will pay 10% of the price of the cowboy hat as tax.

To calculate the amount of tax Ariana will pay:

First, we need to calculate the amount of the tax by multiplying the price of the cowboy hat by the sales tax rate: 0.10 x $25 = $2.50

So, the amount of tax that Ariana will pay is $2.50.


Therefore, Ariana will pay $2.50 in tax when she buys the cowboy hat priced at $25. Her total cost will be $25 + $2.50 = $27.50.

Answer:

2.50$

Step-by-step explanation:

Hope that helps ✌

given the arithmetic sequence what is the domain for N?

Answers

The domain for n in the arithmetic sequence is the one in the first option:

all integers where n ≥1

What is the domain of N?

We have a arithmetic sequence defined by the general formula:

aₙ  = 4 - 3*(n - 1)

And we want to find the domain for the possible values of n that we can use in that formula.

Remember that the terms of a sequence are defined as:

a₁, a₂, a₃,...

So the values of n are positive whole numbers, in this case the first one is n = 1.

a₁ = 4 + 3*(1 - 1)

a₁ = 4

And then we can keep using any positive integer, then the correct option is:

all integers where n ≥1

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HELPPP

complete the problem by creating two binomials that represent that sides of the shape . Then multiply to get a quadratic equation . Draw a picture to help set up the problem . 6. Albert installs swimming pools . While the pools can come in different sizes, Albert only offers rectangular pools that are always twice as wide as they are long. He also puts a deck around the entire pool, and the deck is always 4ft wide on each side. Write an equation to represent the total area of the pool and deck.

Answers

The equation that represents the total area of the pool and deck is: A(x) = 2x² + 24x + 64.

Describe Binomial?

In algebra, a binomial is a polynomial that consists of two terms connected by either an addition or a subtraction operator. A binomial can be written in the form (ax + b) or (ax - b), where "a" and "b" are constants and "x" is a variable.

Binomials are used in a variety of algebraic operations, such as factoring, expanding, and solving equations. They also appear in binomial probability distributions and binomial theorem.

Let's start by drawing a diagram to visualize the problem:

___________      

|                       |    4 ft

|   _________|_________

|   |                   |                    |

|   |                   |                    |

|  |                    |                    |   2x

|  |                    |                    |

|  |_________|_________ |

|                       |    4 ft

|__________ |

      2w

The rectangular pool is twice as wide as it is long, so we can let the length be x, and the width be 2x.

The deck around the pool is 4 feet wide on each side, so the total width of the pool and deck is (2x + 8), and the total length is (x + 8).

Therefore, the total area of the pool and deck can be represented as:

(2x + 8)(x + 8)

Expanding the expression, we get:

2x² + 24x + 64

So the equation that represents the total area of the pool and deck is:

A(x) = 2x² + 24x + 64

where A(x) is the area of the pool and deck, and x is the length of the pool.

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what is $510,451 rounded to the nearest 1,000 dolllars?

Answers

Answer:

$510,000

Step-by-step explanation:

Since we are rounding to the nearest thousand, we can use the hundreds place to determine the if we need to round down or up.

Remember, 4 or less, round down. 5 or more, round up.

Since the hundreds digit is 4, we do not need to round.

We only need to change the rest of the digits to 0.

So, our answer would be $510,000.

Gina is growing lettuce in a section of a garden. She represents this section with rectangle JKLM

Answers

The area of the rectangular section in the garden is Area = (x₂ - x₁) x (y₂ - y₁)

Now, let's look at the rectangular section of the garden represented by the coordinate plane. We are told that the section is represented by Rectangle JKLM. The four corners of this rectangle can be represented by their respective coordinates:

Point J: (x₁, y₁)

Point K: (x₂, y₁)

Point L: (x₂, y₂)

Point M: (x₁, y₂)

To find the area of this rectangle, we need to use the formula:

Area = length x width

The length of the rectangle is the distance between points J and K, which is given by:

Length = x₂ - x₁

The width of the rectangle is the distance between points J and M, which is given by:

Width = y₂ - y₁

Therefore, the area of the rectangle is:

Area = (x₂ - x₁) x (y₂ - y₁)

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Complete Question:

Gina is growing lettuce in a section of a garden. She represents this section with Rectangle JKLM. Each unit in the coordinate plane represents 1 foot.

What is the area of the section where lettuce grows?

Can yall help me out?

Answers

the answer is A: 63 square units

Answer:

A (Im not entirely sure if this is correct)

Step-by-step explanation:

how I got this answer is: I found the area of the two triangles which was 12.5 (because the area of a triangle is 1/2(b*h) and the base is 3 and the height is 7 then you divide that by two) and I added them up to get 21. Then you would multiply 3 by two because a triangle is half of a rectangle and you would do b*h for a rectangle area and then multiply that by 7 ot get 42 and you would add taht to 21 to get 63

kadeesha has a bag of candy full of 10 strawberry chews and 10 cherry chews that she eats one at a time. which word or phrase describes the probability that she reaches in without looking and pulls out a strawberry or a cherry chew?

Answers

P(strawberry or cherry) = P (strawberry) + P (cherry) = 1/2 + 1/2 = 1

The probability that Kadeesha reaches in without looking and pulls out a strawberry or a cherry chew is the same and is equal to 50%. This is because there are an equal number of strawberry chews (10) and cherry chews (10) in the bag of candy. Therefore, the probability of her selecting one of either is 1/2 = 0.5 = 50%.
The word or phrase that describes the probability that Kadeesha reaches in without looking and pulls out a strawberry or a cherry chew is "either/or probability".Explanation:The candy bag of Kadeesha contains 10 strawberry chews and 10 cherry chews. This means there are two flavors of candies in the bag. The probability that she picks a strawberry chew at random without looking will be 10/20, which can be simplified to 1/2. Similarly, the probability of picking a cherry chew at random without looking will be 10/20, which can also be simplified to 1/2. When considering either of the probabilities, it implies that the probability that she reaches in without looking and pulls out a strawberry or a cherry chew is the sum of the probability of picking a strawberry chew and the probability of picking a cherry chew.i.e. P (strawberry or cherry) = P (strawberry) + P (cherry) = 1/2 + 1/2 = 1Therefore, the probability that Kadeesha reaches in without looking and pulls out a strawberry or a cherry chew is 1, which implies that it is a sure event. Hence, the word or phrase that describes the probability that she reaches in without looking and pulls out a strawberry or a cherry chew is "either/or probability".

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the height of a parallelogram is 10 feet more than the length of the base. if the area of the parallelogram is 1200 square feet, find the length of the base and the height.

Answers

The length of the base of a parallelogram is 30 feet and the height is 40 feet.

Given that the height of a parallelogram is 10 feet more than the length of the base, and the area of the parallelogram is 1200 square feet. We have to find the length of the base and the height. Let the length of the base of a parallelogram be x. Then, the height of the parallelogram = x + 10.

We know that the area of a parallelogram is given by; A = base × height1200 = x(x + 10). Simplify the equation1200 = x² + 10x. Rearrange the equationx² + 10x - 1200 = 0. On solving this quadratic equation, we get; x = 30 and x = -40.

Since the length of the base cannot be negative, therefore, the length of the base is 30 feet. So, the height of the parallelogram is 30 + 10 = 40 feet. Therefore, the length of the base of a parallelogram is 30 feet and the height is 40 feet.

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Can someone help me with this aleks

Answers

I think the best way to do this is by splitting up the trapezoid into two shapes since it is not a regular trapezoid. We can make a split to form a small right triangle on the left and a regular trapezoid on the right.

Small right triangle on the left:

4 inch side length and 6 inch hypotenuse with the Pythagorean theorem will give us the missing side.

missing side = square root of 6^2-4^2 = [tex]2\sqrt{5}[/tex]

Then the area is [tex]\frac{1}{2}*4*2\sqrt{5}=4\sqrt{5}[/tex]

Regular trapezoid on the right:

Area will be [tex]\frac{6+(17-2\sqrt{5})}{2}*4=46-4\sqrt{5}[/tex]

Summing up the two areas to get the total we have [tex]4\sqrt{5}+46-4\sqrt{5}=46[/tex] in^2.

A bag contains 6 red marbles and 1 blue marble. A marble is taken at random, put to one side, and then another marble is taken at random. What is the probability that at least one of the marbles takes was blue?

Give your answer as a fraction in its simplest form

Answers

We have 6 red and 1 blue marble thus the probability of drawing blue marble = 1/7

To understand probability as a concept, pay attention to the steps below.

Step 1. Multiply the individual probabilities to obtain the chance of numerous separate events.

Step 2. As there are two separate events in this scenario, double the probabilities of each.

Step 3. Add the individual probabilities to obtain the chance of several events that are mutually exclusive.

In this bag of 7 marbles, there is 1 blue one. Assume that each is marked with a number. Choosing blue-1 has a 1/7 chance of happening. (Why? As there are 7 marbles that may be chosen, each with an equal probability, and since those 7 occurrences are mutually exclusive, the 7 probabilities total up to 1.)

The probability of choosing blue-2 is similarly 1/7; the same goes for blue-3,..., and blue-8. To determine the likelihood of picking a blue, add those up (and blue).

Step 4. Do the same for red next.

Thus the probability of drawing blue marble =  1/7

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Choose the equation that represents the line passing through the point (2, −5) with a slope of −3

Answers

The equation that represents the line passing through the point (2, -5) with a slope of -3 is y = -3x + 1 (option D).

To derive the equation of a line, we need to use the point-slope formula, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. Plugging in the given values, we have:

y - (-5) = -3(x - 2)

Simplifying this expression, we get:

y + 5 = -3x + 6

y = -3x + 1

Thus, the equation that represents the line passing through the point (2, -5) with a slope of -3 is y = -3x + 1.

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Complete Question:

Choose the equation below that represents the line passing through the point (2, - 5) with a slope of −3.

A.) y = −3x − 13

B.) y = −3x + 11

C.) y = −3x + 13

D.) y = −3x + 1

Answer:

The answer is y = -3x + 1

Maggie is 15 years older than Bobby. How old is Bobby? 1) In 3 years, Maggie's age will be 50% greater than Bobby's age.
2) Years ago, when Maggie was 25 years old, Bobby was 10 years old.

Answers

Maggie is 30 years old, and Bobby is 15 years old if in 3 years, Maggie's age will be 50% greater than Bobby's age and years ago when Maggie was 25 years old, Bobby was 10 years old.

Maggie is 15 years older than Bobby. We have to determine Bobby's age.

Let's suppose that Bobby's age is x, so Maggie's age would be x + 15 years.

1) In 3 years, Maggie's age will be 50% greater than Bobby's age.

The age of Maggie in 3 years would be (x + 15) + 3, and the age of Bobby would be x + 3.

According to the problem, Maggie's age in 3 years would be 50% greater than Bobby's age in 3 years.

So, (x + 15) + 3 = (1.5)(x + 3)

Simplifying the above equation, we get

x + 18 = 1.5x + 4

Now, we will solve for

x.x - 1.5x = -14-0.5x = -14x = 28

Therefore, Bobby is 28 years old now.

2) Years ago, when Maggie was 25 years old, Bobby was 10 years old.

Let's assume that x years ago Maggie was 25 years old. Thus, Bobby was 10 years old at that time.

So, x + 25 = (x + 10) + 15x = 15

Therefore, Maggie is 30 years old now. And Bobby is 15 years old now.

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how would i graph my question when the x and y intercept is (10,140) when the slope is -14

Answers

The given values are inserted in the point-slope form which formed the equation 140 = -14x + 10 and has been graphed.

What is point-slope form?

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).

The y value of the y-intercept point is denoted by the symbol b in the formula.

The general form of a linear equation is y-y1=m(x-x1).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

So, in the given situation:
The point-slope form is: y = mx + b

Then y is y and b is the x value and m is the slope.

Now, insert values as follows:

y = mx + b

140 = -14x + 10

Graph the equation as follows:

(Refer to the graph attached below)


Therefore, the given values are inserted in the point-slope form which formed the equation 140 = -14x + 10 and has been graphed.

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I NEED HELP! BRAINLIEST!

Answers

Answer: 40/7 or 5.7

Step-by-step explanation:

using angle bisector theorem we get,

x/5 = 8/7

Upon substituting our given values in above equation, we will get:

x/5 X 5 = 8/7 X 5

x = 40/7 or 5.7

Answer:

3.3

Step-by-step explanation:

Angle bisector theorem: In a triangle, the angle bisector of any angle will divide the opposite side in the ratio of the sides containing the angle.

       [tex]\dfrac{x}{8-x}=\dfrac{5}{7}[/tex]

Cross multiply,

    x *7 = 5*(8 - x)

        7x = 40 - 5x

   7x + 5x = 40

        12x   = 40

             [tex]x = \dfrac{40}{12}\\\\x = 3.3[/tex]

Write an equation to represent each relationship

Answers

This equation represents the linear relationship between the dependent variable (y) and the independent variable (x) with a slope of 2 and a y-intercept of -3.

However, I can provide a general example using common terms in algebra:
Terms: Dependent variable (y), independent variable (x), slope (m), and y-intercept (b).
To represent a linear relationship between two variables, we can use the equation of a straight line, which is often written as:
[tex]y = mx + b[/tex]
Here's what each term in the equation represents:
1. y: This is the dependent variable, meaning its value depends on the value of the independent variable (x). In a graph, it is usually represented on the vertical axis.
2. x: This is the independent variable, which can take any value within a given range. It is usually represented on the horizontal axis in a graph.
3. m: This is the slope of the line, representing the rate at which the dependent variable (y) changes with respect to the independent variable (x). A positive slope indicates an increasing relationship, while a negative slope indicates a decreasing relationship.
4. b: This is the y-intercept, which is the point where the line crosses the y-axis. It represents the value of the dependent variable (y) when the independent variable (x) is equal to zero.
simply plug in the values for the slope (m) and y-intercept (b). For example, if the slope is 2 and the y-intercept is -3, the equation would be:
[tex]y = 2x - 3[/tex]

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A small circle is centered inside of a larger circle. The large circle has a radius of 10 inches. The small circle has a radius of 3 inches.

Answers

Answer: 126in

Step-by-step explanation:

ftc6yhunum8im

huju7kt6r

5+10=24

g5ghykn

Given that New Mexico has a population of about 12 people per square miles and
an area of about 120,000 square miles, what is the population of New Mexico
Mark only one oval.
10,000
1,000,000
1,440,000
2,400,000

Answers

Answer:

1440000

Step-by-step explanation:

Since for every mile, there are 12 people, we have 120000 miles. If we multiply 12 by 120000, we get 1440000.

Answer:

Population = 1,440,000

Step by step explanation:

The population of New Mexico can be calculated by multiplying the population density (12 people/square mile) by the area of the state (120,000 square miles):

Population = Population density x Area
Population = 12 people/square mile x 120,000 square miles
Population = 1,440,000

Therefore, the population of New Mexico is 1,440,000. The correct oval to mark is "1,440,000".

Who can help me? This is solving cube root equation help ?

Answers

Answer:

22: 2

23: -7

25: 6

26: 3

Let me know if this helped by clicking the help button or if not please comment with issues and I'll get right back to you!

Step-by-step explanation:

For 22: 2 * 2 * 2 = 8, therefore, 2

For 23:  -7 * -7 * -7 = -343. This results in a negative number because there is is an odd number of negative numbers (follows the odd-even negative rule).

For 25: Multiply both sides of the equation by -1/2 to get z^3 = 216. The cube root of 216 is 6

For 26: Add 11 to both sides to get 2h^3 = 54. Divide both sides by 2 to get h^3 = 27. Cube root of 27 is 3.

Let me know if this helped by clicking the help button or if not please comment with issues and I'll get right back to you!

original sample: 84, 71, 79, 96, 87. do the values given constitute a possible bootstrap sample from the original sample?

Answers

Yes, the given values constitute a possible bootstrap sample from the original sample.

Bootstrap samples are taken with replacement from the original data set. In other words, it means that each sample consists of a random sample of the same size as the original data set taken from the original data set.

Hence, a given set of values can be a bootstrap sample from the original sample as long as the values are randomly selected from the original sample and with replacement.

The sample is said to be a bootstrap sample from the original data set if it satisfies the following properties:

1. The bootstrap sample must be of the same size as the original data set.

2. Each observation from the original data set must have an equal chance of being selected in each bootstrap sample.3. The bootstrap samples must be independent of each other.

In the given problem, the sample consists of 5 values, namely 84, 71, 79, 96, and 87.

These values can be a bootstrap sample from the original sample as long as the values were randomly selected with replacement from the original sample.

Since the problem does not provide any information on how the sample was obtained, it cannot be determined whether or not it is a bootstrap sample.

Therefore, the answer is that the given values constitute a possible bootstrap sample from the original sample.

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. in a classroom of 30 students, 3 of the students wear wrist watches. (a) if 14 students are selected with replacement, what is the probability that exactly 2 of them wear wrist watches? (b) if 14 students are selected without replacement,

Answers

Probability of

=0.0403.

The probability that exactly two of the 14 students selected with replacement will wear wrist watches is 3/30 * 2/29 * 27/28 * 26/27 = 0.0437.

The probability that exactly two of the 14 students selected without replacement will wear wrist watches is 3/30 * 2/29 * 26/28 * 25/27 = 0.0403.

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6x6x6x6x6x6x6 devided by 6x6x6x6x6x6 in indext form

Answers

The result of 6x6x6x6x6x6x6 divided by 6x6x6x6x6x6 in index form is 6.

In index form, 6x6x6x6x6x6x6 divided by 6x6x6x6x6x6 can be written as:

(6⁷) / (6⁶).To divide two exponential expressions with the same base (in this case, 6), we can subtract the exponents:

6⁽⁷⁻⁶⁾ = 6¹ = 6.

Index form, also known as exponential form, is a way of writing numbers or expressions using exponents. In index form, a number is expressed as a base raised to a power or exponent.

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the atmospheric carbon dioxide levels in parts per million (ppm) in a town can be modeled using the function defined by where is in years and corresponds to 1950. find and interpret the result. round to 2 decimal places as needed. answer: with unit

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The atmospheric carbon dioxide levels in parts per million (ppm) in a town can be modeled using the function defined by , where is in years and corresponds to 1950.

Substituting in gives , which means that the atmospheric carbon dioxide levels in parts per million (ppm) in the town is 386.50 in 2019.

This means that since 1950, the atmospheric carbon dioxide levels in parts per million (ppm) in the town have increased by 386.50.

This is a significant increase and reflects the growing levels of atmospheric carbon dioxide emissions globally due to human activity, leading to climate change.

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This means that the line represented by f(x-3) has been shifted down by 39 units compared to the line represented by f(x).

what is Y intercepted?

In mathematics, the term "Y-intercept" refers to the point at which a graph or line intersects the y-axis. It is the value of the dependent variable (usually represented by "y") when the independent variable (usually represented by "x") is equal to zero.

For example, the equation of a straight line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when x is equal to zero.

So, if the equation of a line is y = 2x + 5, then the y-intercept is 5, because this is the value of y when x is equal to zero.

To simplify f(x-3), we need to substitute x-3 for x in the expression for f(x):

[tex]f(x-3) = 10(x-3) - 9[/tex]

Expanding the multiplication and simplifying, we get:

[tex]f(x-3) = 10x - 30 - 9[/tex]

[tex]Therefore, f(x-3) = 10x - 39.[/tex]

To determine the slope, we can compare this expression to the standard form of a linear equation, y = mx + b, where m is the slope. We can see that the coefficient of x in the simplified expression is 10, so the slope is 10. This means that the line represented by f(x-3) is steeper than the line represented by f(x).

To determine the y-intercept, we can look at the constant term in the expression. In this case, the constant term is -39. This means that the line represented by f(x-3) has been shifted down by 39 units compared to the line represented by f(x).

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A plant in my garden is growing 2/3 of a foot every 3/4 of a month. How much does it grow per month?

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The plant is growing 0.89 feet per month.

To calculate how much a plant grows per month, you need to first convert the measurements into one unit of measurement.

Since the plant is growing 2/3 of a foot every 3/4 of a month,

we can first convert the fractions of a foot and a month into decimal equivalents.

2/3 of a foot is 0.67 feet, and 3/4 of a month is 0.75 months.

We can then calculate the amount of growth per month by dividing the amount of growth per 3/4 of a month by the amount of time that is 3/4 of a month (0.75).

The equation is 0.67 feet / 0.75 months = 0.89 feet per month.

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