Which equation represents the line with slope 1/4 that passes through (–4, 8)?

The coordinates of point bbb are \left(\dfrac{2a+7c}{9}, 0\right)left( 9 2a+7c ​ , 0 right).

To find the coordinates of point bbb on \overline{ac}ac start overline, a, c, end overline, we need to use the formula for the division of a line segment in a given ratio. The formula is:

\begin{aligned} x &= \dfrac{x_1m+x_2n}{m+n} \\ y &= \dfrac{y_1m+y_2n}{m+n} \end{aligned}
Where m and n are the given ratio, and (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment.

In this case, the given ratio is \dfrac{2}{7}7 2 ​ start fraction, 2, divided by, 7, end fraction, and the coordinates of the two endpoints are (x1, y1) = (a, 0) and (x2, y2) = (c, 0).

Plugging in the values into the formula, we get:
\begin{aligned} x &= \dfrac{a \cdot 2 + c \cdot 7}{2+7} \\ y &= \dfrac{0 \cdot 2 + 0 \cdot 7}{2+7} \end{aligned}

Simplifying the equations, we get:
\begin{aligned} x &= \dfrac{2a+7c}{9} \\ y &= 0 \end{aligned}

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Answer:

Step-by-step explanation:

our lengths are:

7.5a-1.5b,  3.5a+4.5b, 6.5c+2a, 8.5-6.5c

P=7.5a+3.5a+2a-1.5b+4.5b+6.5c-6.5c+8.5=16a+3b+8.5

Answer:

Yes, but can be simplified to \(-\frac{1}{4}\)

Step-by-step explanation:

Since slope is the formula to determine the equation of a line, we use,

\(\frac{rise}{run}\)

In this sense, we can see that the rise is -2

The run, or how far along the x-axis the line goes until it reaches its desired point is 8.

Although you are correct in the \(-\frac{2}{8}\), don't forget to use your GCF to determine how low the fraction can go. (GCF or greatest common factor of 2 in this case) to get \(-\frac{1}{4}\)

I hope this answer finds you well, and I would be happy to help you again in the future! :D

n must be 0, since x ⁿ = 1 for all positive, real x if n = 0. So the answer is A.

Answer:

The length and width of rectangle are 90 feet and 22.5 feet.

Step-by-step explanation:

Let the,

Now, according to the question substituting all the given values in the formula to find the value of x :

\( \longrightarrow{\pmb{\sf{P = 2(L + W)}}}\)

\( \longrightarrow{\sf{P = 2(L + W)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(x + \dfrac{x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(\dfrac{4x + x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(\dfrac{5x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \times \dfrac{5x}{4}}}\)

\( \longrightarrow{\sf{225= \dfrac{2 \times 5x}{4}}}\)

\( \longrightarrow{\sf{225= \dfrac{10x}{4}}}\)

\( \longrightarrow{\sf{10x = 225 \times 4}}\)

\( \longrightarrow{\sf{10x = 900}}\)

\( \longrightarrow{\sf{x = \dfrac{900}{10}}}\)

\(\longrightarrow{\sf{\underline{\underline{x = 90}}}}\)

Hence, the value of x is 90.

Now, we know the value of x. So, calculating the length and width of rectangle :

\(\rule{300}{2.5}\)

Answer:

8(t+7)

Step-by-step explanation:

For each n ≥ 0, the natural filtration Gn satisfies Gn ⊆ Fn. show that for each n ≥ 0, Gn ⊆ Fn, we need to demonstrate that the natural filtration Gn is a subset of the filtering Fn.

The natural filtration Gn is defined as the sigma-algebra generated by the process {Xn}n≥1 up to time n. This means that Gn contains all the information available up to time n.

The filtering Fn, on the other hand, is defined as the sigma-algebra generated by the random variables {Xk}k≤n, which includes all the information up to and including time n.

Since Gn contains all the information up to time n and Fn includes all the information up to and including time n, it follows that Gn is a subset of Fn, i.e., Gn ⊆ Fn.

Therefore, for each n ≥ 0, the natural filtration Gn satisfies Gn ⊆ Fn.

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Answer:

What do you want me to do? It is already solved

Step-by-step explanation:

Answer:

In this triangle,

sin x = ?

cos x = ?

tan x = ?

sin x = Perpendicular / Hypothenuse

= 36 / 39 = 12 /13

cos x = Base / Hypothenuse

= 15 / 39 = 5/13

tan x = Perpendicular / Base

= 36 /15 = 12 / 5

The factorial of a number n is the product of all positive integers up to and including n

The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To represent the factorial function using product notation, we can write:

n! = ∏_{i=1}^n i

This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:

5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120

Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.

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Answer:

She has 27 quarters

Step-by-step explanation:

Let:

x = Number of nickels

y = Number of quarters

US$0.05 = 5 cents = monetary value of a nickel

US$0.25 = 25 cents = monetary value of a quarter

                      x + y = 68

                     x = 68 - y  ---- --------  (equation i)

                0.05x + 0.25y = 8.80----- (equation ii)

These two are linear simultaneous equations, which can be solved either by substitution, elimination or graphical method.

Substitution method:

Substitute (equation i) into (equation ii) to solve for y:

0.05(68 - y) + 0.25y = 8.80

Expand the brackets by applying the Distributive Law and then bring all the like terms together. y needs to be isolated and made the subject of the equation:

= 3.4 - 0.05y + 0.25y = 8.80

= 0.25y - 0.05y = 8.80 - 3.40

= 0.20y = 5.40

= y = \(\frac{5.40}{0.20}\)

∴ y = number of quarters = 27

Answer:

slope=4

Step-by-step explanation:

\(m=\frac{change(y)}{change(x)}\)

\(m=\frac{-8-(-4)}{-5-(-4)}\)

\(m=\frac{-4}{-1}\)

\(m=4\)

Answer:

The answer is $5.89

Answer: The point estimate for this population proportion is 0.2

Step-by-step explanation:

The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 40

p = 40/200 = 0.2

Answer:

uh what are we suppose to do with the number

Step-by-step explanation:

what are we suppose to do with the numbersm

The Value of the horizontal asymptote is 0

What is horizontal asymptote?

The horizontal asymptote of a function y = f(x) is a line y = k and to calculate the horizontal asymptote please substitute \(x=\)±∞. We can also find the vertical asymptote.

now we are given a function

\(f(x)=2(3)^{-x}\)

Now substitute x=±∞ in the equation, as the x in denominator we get

f(x)= 0

This is the value of the horizontal asymptote

Hence the value of horizontal asymptote comes out to be 0

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Answer:

As x decreases, h increases (but never touches)

As x increases, h decreases (but never touches)

Step-by-step explanation:

If you graphed the exponential, you would be able to see that it is stuck in the 3rd quadrant.

Domain: (negative infinity, 1)

Range: (negative infinity, 0)

Answer

Option 1 is correct.

The graph could easily be the graph of a linear function.

Explanation

The points (2, 5) and (8, 5) can be seen to lie on the same line of y = 5

So, we can conclude that the graph could be a simple linear function, or a curve that passes this point twice.

So, option A is the only correct option here.

Hope this Helps!!!

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

Answer:

2nd answer is correct

Step-by-step explanation:

We know that,

\(\sqrt{x} =x^{\frac{1}{2} }\)

\(\sqrt[3]{x}=x^{\frac{1}{3} }\)

By following the above, we can solve the answer to the question.

Let us solve this now

⇒ \(\sqrt[3]{x^5y}\)

⇒  \(x^\frac{1}{3}^*^5y^\frac{1}{3}\)

⇒  \(x^\frac{1*5}{3}y^\frac{1}{3}\)

⇒  \(x^\frac{5}{3}y^\frac{1}{3}\)

Answer:

sorry dont know

Step-by-step explanation:

Step by step: Here,

Formula to find area=l×b

=(2x+3)×(x+4)

=6x × 4x

=24x

Or,

2x+3 × x+4

2xsquare+7

Answer:

The circumference is a little more than 3 times the diameter.

Step-by-step explanation:

The value of dividing the circumference of a circle by its diameter will always yield the value of π. π is about 3.14 and therefore shows that the circumference of any circle is a little more than 3 times the diameter.

Answer:

the circumference is a little more than 3 times the diameter

Step-by-step explanation:

Answer:

I think its the 75

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Boreal forests are characterized by needle-leaved, drought tolerant, evergreen trees, and a climate consisting of long, cold winters and short, cool summers.

The numeric value of the expression -a² - 2bc - |c| for a = -3, b = -5 and c = 2 is of 9.

The numeric value of an expression is found replacing each letter by it's attributed value.

In this problem, the expression is:

-a² - 2bc - |c|

The attributed values are:

a = -3, b = -5 and c = 2

Hence the numeric value will be given by:

-a² - 2bc - |c| = -(-3)² - 2(-5)(2) - |2| = -(9) + 20 - 2 = -9 + 18 = 9.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

100 m/s

Step-by-step explanation:

This can be done without a formula

If you think about it, as you walk faster you cover more distance (taking the same duration)

So if you double your velocity, you will double the distance you cover

Ps. Idk if this still helpful,

Have a great day /night

1. The inverse function of \(f(x)=4x^3+1\) is \(f^{-1}(y) = \sqrt[3]{\frac{y-1}{4}}\).

2. The inverse function of \(g(x)=\frac{4x-1}{2x+3}\) is \(g^{-1}(y) = \frac{1+3y}{4-2y}\).

1. To find the inverse function of \(f(x)=4x^3+1\), we interchange \(x\) and \(y\) and solve for \(y\). So, we have \(x = 4y^3+1\). Rearranging the equation to solve for \(y\), we get \(y = \sqrt[3]{\frac{x-1}{4}}\). Therefore, the inverse function is \(f^{-1}(y) = \sqrt[3]{\frac{y-1}{4}}\).

2. To find the inverse function of \(g(x)=\frac{4x-1}{2x+3}\), we follow the same process of interchanging \(x\) and \(y\). So, we have \(x = \frac{4y-1}{2y+3}\). Rearranging the equation to solve for \(y\), we get \(y = \frac{1+3x}{4-2x}\). Therefore, the inverse function is \(g^{-1}(y) = \frac{1+3y}{4-2y}\).

In both cases, the inverse functions are found by solving the original equations for \(y\) in terms of \(x\). The inverse functions allow us to find the original input values \(x\) when given the output values \(y\) of the original functions.

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