Simplifying algebraic expression

Answer:

d = 10 m

Step-by-step explanation:

Given that,

tLauren is 6 meters straight behind Alexa and  8 meters directly left of Danielle. We need to find the distance between Alexa and Danielle. It can be calculated using Pythagoras theorem such that,

[tex]d=\sqrt{8^2+6^2} \\\\d=10\ m[/tex]

So, the distance between Alexa and Danielle is 10 m.

Answer:

15.33mg

Step-by-step explanation:

Given the number of plants in a terrarium is given by the function

P(c) = -1.2c^2 + 4c + 12

At the hihest number of plants produced, dP(c)/dc = 0

dP(c)/dc = --2.4c + 4

0 = -2.4c + 4

2.4c = 4

c = 4/2.4

c = 1.67

To get the highest number of plant produced, we will substitute c = 1.67 into the original function

P(c) = -1.2c^2 + 4c + 12

P(1.67) = -1.2(1.67)^2 + 4(1.67) + 12

P(1.67) =  -3.34668 + 18.68

P(1.67) = 15.33332

Hence the amount of plant food that produces the highest number of plants is 15.33mg (round to the nearest hundredth).

Answer:

B32

its goes 1 - 3 down and 1- 4 on top so go 3 down and 2 over - B 32

Answer:

It’s graph B

Step-by-step explanation:

If you look at graph A, the y intercept will be at -3 instead of a negative 5.

Good luck!

Step-by-step explanation:

2(x -y) + 2x - 2y

2x - 2y + 2x - 2y

2x + 2x -2y - 2y

4x - 4y

Answer: [tex]\$18,629[/tex]

Step-by-step explanation:

Given

The unit cost is given by

[tex]C(x)=0.6x^2-168x+30,389[/tex]

find the derivative of the unit cost and equate it to zero to obtain the minimum value

[tex]C'(x)=0.6\times 2x-168\\\Rightarrow 0.6\times 2x-168=0\\\Rightarrow 1.2x=168\\\\\Rightarrow x=\dfrac{168}{1.2}\\\\\Rightarrow x=140[/tex]

Substitute 140 for [tex]x[/tex] in the cost function, we get

[tex]C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629[/tex]

Both  f(x) = 2.3 and t(n) = 2.3" is not a function as they does not has any input variable.

f(x) = 2.3 is not a function because it's a constant value, it doesn't have any input x that could be used to produce a different output. It's just a number, and it's not a mathematical function.

t(n) = 2 · 3^n also doesn't represent a function because, again, it doesn't have any input n that could be used to produce a different output. It's also just a number, and it's not a mathematical function.

A mathematical function is a set of ordered pairs (input, output) such that for each input, there is only one output. A function must have at least one variable that can take different values and the output must depend on the input value. In other words, for each value of the independent variable, there is only one value of the dependent variable.

So, in the case of f(x) = 2.3 and t(n) = 2 · 3^n, there is no input variable that can produce different output, so they're not functions.

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A linear graph is one whose equation is in the form y = mx + b, where m and b are constants. A quadratic graph is one whose equation is in the form y = ax^2 + bx + c, where a, b, and c are constants.

To determine if a given graph is linear, calculate the equation of the line by finding two points on the graph and plugging them into the equation y = mx + b.

For example, if the two points on the graph are (2, 3) and (5, 7), then plugging these values into the equation gives us:

y = mx + b

3 = m*2 + b

7 = m*5 + b

Solving this system of equations gives m = 2 and b = -1, so the equation of the line is y = 2x - 1.

A quadratic graph is one whose equation is in the form y = ax^2 + bx + c, where a, b, and c are constants. To determine if a given graph is quadratic, calculate the equation of the parabola by finding three points on the graph and plugging them into the equation y = ax^2 + bx + c.

For example, if the points on the graph are (1, 6), (2, 13), and (3, 24), then plugging these values into the equation gives us:

y = ax^2 + bx + c

6 = a*1^2 + b*1 + c

13 = a*2^2 + b*2 + c

24 = a*3^2 + b*3 + c

Solving this system of equations gives a = 4, b = -5, and c = 6, so the equation of the parabola is y = 4x^2 - 5x + 6.

An exponential graph is one whose equation is in the form y = a*b^x, where a and b are constants. To determine if a given graph is exponential, calculate the equation of the line by finding two points on the graph and plugging them into the equation y = a*b^x.

For example, if the two points on the graph are (2, 16) and (3, 24), then plugging these values into the equation gives us:

y = a*b^x

16 = a*b^2

24 = a*b^3

Solving this system of equations gives a = 2 and b = 2, so the equation of the line is y = 2*2^x.

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Answer: go to bitly and type

Step-by-step explanation: 3f3FcEi

An irrational statement is a kind of genuine number that can't be addressed as a basic portion. It can't be communicated in that frame of mind of a proportion. If N is silly, N isn't equivalent to p/q where p and q are numbers and q isn't equivalent to 0. Model: √2, √3, √5, √11, √21, π(Pi) are nonsensical.

A number can't be communicated as a portion of any numbers and. . Unreasonable numbers have decimal developments that neither end nor become occasional. Each supernatural number is irrational.

If a square root is not an ideal square, then it is viewed as an unreasonable number. These numbers can't be composed as a portion because the decimal doesn't end (non-terminating) and doesn't rehash an example (non-repeating).

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Answer:

23; 11 + 2t

Step-by-step explanation:

So let's start with the equation and then plug in the 6 hours:

Because we start with 11 dollars just to enter, our equation would start like this:

11 +

Also, 2 dollars for every hour. One hour could be represented as 1t, or just t:

11 + 2t (2 dollars for every t, every hour)

So now the equation is 11 dollars starting entry plus 2 dollars every hour

Now all we have to do is replace t with the number of hours:

11 + 2(6) = answer

11 + 12 = answer

23 = answer

Answer:

8x + 6

Step-by-step explanation:

(4x + 3)2

Distributive Property:

(4x)2 + (3)2 =

8x + 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

i do not know the answer sorry

Answer:

129

Step-by-step explanation:

[tex]2(q+p)=1+5q\implies 2q+2p=1+5q\implies 2q+2p-5q=1 \\\\\\ 2q-5q=1-2p\implies q(2-5)=1-2p\implies -3q=-2p+1 \\\\\\ q=\cfrac{-2p + 1}{-3}\implies q=\cfrac{2}{3}p-\cfrac{1}{3}[/tex]

Answer:

Step-by-step explanation: 2(q+p)=1+5q

2q+2p=1+5q

2q-5q=1-2p

-3q=1-2p/:(-3)

q=-1/3+2/3 p

Answer:

232 Hours

Step-by-step explanation:

Given data

Duration of game= 58 hours

Number of games played= 4 games

Hence the total duration for these four games is

=58*4

=232 Hours

Therefore Charlie spent 232 Hours playing games

The dimensions of the building are (x² - 2)(5x + 4). The result is obtained by using the expression for the dimensions.

Grouping is a specific technique used to factor polynomial equations. You can use it with quadratic equations and polynomials that have four terms. The method is slightly different.

Here is how to factor by grouping:

The area of the new high school building in a rectangular shape is 5x³ + 4x² - 10x - 8. Factor by grouping to find the dimensions!

Follow the steps on how to factor by grouping.

5x³ + 4x² - 10x - 8

= (5x³ + 4x²) - (10x - 8)

= x²(5x + 4) - 2(5x - 4)

= (x² - 2)(5x + 4)

Hence, the dimensions of the building are (x² - 2)(5x + 4).

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Answer:

y=4x+2

Step-by-step explanation:

The slope of the line is 4 and the y-intercept (b) is 2.

Hope this helped :)

Answer: 10

Step-by-step explanation:

4 to 20 which is times by 5 so 2 times by 5 is 10

Answer: Ok to solve this question you would have to do $7.50 divided by  

3 and your answer should come out to be $2.5 or $2.50 per each pound.

Step-by-step explanation:

$7.50 divided by 3 = 2.5

and with money if you get a $2.5 it would be $2.50 because you have to add the zero to the end of it.

Answer:

15

Step-by-step explanation:

Negative Slope can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created.

In the given question, we have to find what phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created.

As we know that,

(1) Negative Slope: A line with a negative slope is one that is moving from left to right in a downward direction. The rise to run ratio of the line, in other words, is negative.

(2) Decreasing Function: For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.

(3) Constant Slope: Small slopes correspond to low speeds, negative slopes to high speeds, and constant slopes (straight lines) to steady speeds.

Hence, Negative Slope can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created.

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Answer:

C Ethan I just took the test

person's sampling distribution is most likely to closely approximate the population distribution is Ethan.

Probability is a mathematical tool used to study randomness. It deals with the chance (the likelihood) of an event occurring.

The most likely to closely approximate the population distribution is the sampling done by Ethan as he had maximum data, which helps to get to approx of the population distribution.

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log with base 10 is mainly used to simplify manual computation and it is also related to the decimal system. if we calculate the log of any variable with base 10, then an integer just greater than that calculated value gives the number of digits in that number.

likewise, log with base 2 is used in digital and computer applications where binary system prevails.

The worth of log e is around equal to 0.4342944819 where log e has a base value equal to 10.

1. The value of log e base 10 is around equal to 0.4342944819.

2. The value of log e with base e, that is, ln the e value is equal to 1.

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Jolene will have 4096 virus cells in her body after 12 divisions

Viruses are something more than living or dead, they are both. Maybe we need a new classification of life for them, a life that lives when the environment is favorable and hibernate when it is not.

The function provided to determine the number of virus cells in the body after h hours is 2^h. To find the number of virus cells after 12 divisions, we can plug in 12 for h in the function.

2^12 = 4096.

So, Jolene will have 4096 virus cells in her body after 12 divisions.

Please note that Jolene would not develop a rash after 12 divisions as it would take 30 divisions (120 hours) for the rash to appear.

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Answer:

[tex] \frac{m}{12} - 8 = 4 \\ \frac{m}{12} = 4 + 8 \\ m = 12×12 \\ m = 144[/tex]

Hope it will help u...

Answer:

Step-by-step explanation:

I hope that is useful for you

Answer:

Yes

Step-by-step explanation:

there are 16 cups in a gallon. if he uses 1/2 a cup to make 1 pitcher, there would be 32 pitchers made. 19+9 is 28 so the answer is yes.

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