6x-18=54 what does the x represent

Answer:

n^2

Step-by-step explanation:

cancel the common factor between n^7 and n^2

Using point-slope form, the equation is \(y+7=-\frac{4}{3}(x-3)\).

Answer:

y = - \(\frac{4}{3}\) x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \(\frac{4}{3}\) , then

y = - \(\frac{4}{3}\) x + c ← is the partial equation

to find c substitute (3, - 7 ) into the partial equation

- 7 = - 4 + c ⇒ c = - 7 + 4 = - 3

y = - \(\frac{4}{3}\) x - 3 ← equation of line

The length and width each need to be 230 feet, and the area of the outdoor enclosure will be A=(230)(230)=52900 sq. ft.

The owner of the used tire store wants to construct a fence to enclose a rectangular outdoor storage area. The side of the store is 240 feet long and there are 460 feet of fencing available for the other three sides. The formula for the area of a rectangle is A=LxW, where A is the area, L is the length, and W is the width. To find the dimensions of the outdoor enclosure with the most area, the length and width must be equal so that all of the fencing is used. Therefore, the length and width each need to be 230 feet, and the area of the outdoor enclosure will be A=(230)(230)=52900 sq. ft.

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Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.

If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.

To calculate the departure time, we subtract 23 minutes from 2:30 PM:

2:30 PM - 23 minutes = 2:07 PM

Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

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Answer:

13.6

Step-by-step explanation:

The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:

dilation factor = A'Q/AQ

AQ = A'Q/dilation factor

Replacing with data:

AQ = 2.4/0.15 = 16

Then, the distance between points A and A' is

x = 16 - 2.4 = 13.6

Answer: 32.5

Step-by-step explanation: you divide it.

Answer:

26

Step-by-step explanation:

These problems always really confuse me but I took a quiz with this question and this is my answer 26

Answer:26

Step-by-step explanation:

i just took the test

A. The total number of points of intersection of the graphs of the equations y = 5e^x and xy = 20 is two.

To find the points of intersection, we must solve the two equations for x and y.

For the first equation, y = 5e^x, we can solve for x by taking the natural logarithm of both sides and getting x = ln(y/5).

For the second equation, xy = 20, we can solve for y by dividing both sides by x and getting y = 20/x.

We can then substitute the expression for x in terms of y into the expression for y in terms of x and solve for y to get y = 20/(ln(y/5)). This is a nonlinear equation that must be solved numerically.

By using numerical methods, we can solve the equation and find the two points of intersection, which are (x, y) = (3.68, 4.64) and (x, y) = (0.87, 22.95).

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Answer:

1.875 cups of sugar

Step-by-step explanation:

Find what 3/4 of 2.5 is

2.5 x 0.75 = 1.875 cups of sugar

The lengths that could be the length of the third side are any values less than 12 feet, the value of 12 feet itself, and any values greater than 2 feet.

To determine which lengths could be the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that the lengths of the two sides are 5 feet and 7 feet, we can evaluate the following possibilities for the length of the third side:

The third side is less than the sum of the two given sides: If the third side is less than 5 + 7 = 12 feet, it can be a valid length.

The third side is equal to the sum of the two given sides: If the third side is equal to 5 + 7 = 12 feet, it can be a valid length, forming a degenerate triangle.

The third side is greater than the difference between the lengths of the two given sides: If the third side is greater than |5 - 7| = 2 feet, it can be a valid length.

Based on these conditions, the possible lengths for the third side are:

Less than 12 feet

Equal to 12 feet

Greater than 2 feet

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Step-by-step explanation:

Angle 6 is equal to angle 2

  angle 2 and angle 3 form a straight line = 180 degrees

         so angle 2 = 60 degrees

  angle 6 = 60 degrees

Since sum of interior angles is equal to 180°, we get

<3 + <6 = 180°

120° + <6 = 180° since <3 = 120°

<6 = 180° - 120°

<6 = 60°

You can also prove this by measuring the angle with a protector:)

3(6 - x) + 2x = 15

18 - 3

-3x+2x = 15

18 - x = 15

-x = 15 - 18

-x =- 3

x = 3

easy - peasy

Answer:

x=3

Step-by-step explanation:

PEMDAS

Or parenthesis, exponent, multiply, divide, addition, and subtraction. (Order of operations)

3(6-x) + 2x = 15

    Start with multiplying

18 - 3x + 2x = 15

    then combine like terms

18 - x = 15

    subtract 18 from each side

-x = -3

    times each side by -1 to remove the negative

x = 3

The correct option is A, the number of games is along the x-axis and the number of goals is along the y-axis is 21/41.

So,

K = 42/82

K= 21/41

{Slope of lines is Δy/Δx }

In mathematics, an axis refers to a line that serves as a reference point for measurement or positioning. In a graph or chart, an axis represents a set of numbers that are used to measure and plot data points. There are typically two axes in a graph, the x-axis and the y-axis, which intersect at a point called the origin. The x-axis is usually the horizontal axis and represents the independent variable, while the y-axis is the vertical axis and represents the dependent variable.

The coordinates of a point on a graph can be determined by its position relative to the axes. For example, a point located at (2,3) would be two units to the right of the origin along the x-axis and three units up from the origin along the y-axis.

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Complete Question: -

Keith is the leading goal scorer for a team in an ice hockey league. Last season, he scored  goals in  games. Assuming he scores goals at a constant rate, what is the slope of the line that represents this relationship if the number of games is along the x-axis and the number of goals is along the y-axis?

A. 21/41  B. 22/41  C. 42/23   D. 41/21

Answer:

4:1

Step-by-step explanation:

There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't

The value of P(0) and P(6) of The Polynomial Function above are 2 and 253/2 respectively.

Polynomial function refers to the algebraic expression that consists of several terms.

Polynomial function can be of different degrees, like linear polynomial (degree 1), quadratic polynomial (degree 2), cubic polynomial (degree 3), and so on.

The given polynomial function is P(w) = 6w² - 20w + 2.

To find P(6), substitute w = 6 in P(w).

Therefore,P(6) = 6(6)² - 20(6) + 2P(6) = 6(36) - 120 + 2P(6) = 216 - 120 + 2P(6) = 96

Adding P(6) = 349 to this equation, we get:2P(6) = 349 - 96 = 253

Therefore, P(6) = 253/2

Now, to find P(0), substitute w = 0 in P(w).

Therefore, P(0) = 6(0)² - 20(0) + 2 = 2

Therefore, P(0) = 2

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Answer:

Between -3 and -2, but closer to -2

Step-by-step explanation:

The square root of 45 is approximately 6.708.

Subtract 9 from that and you get -2.292.

-2.292 is between -3 and -2, but is closer to -2.

Answer:

2916 and 6724 respectively

Step-by-step explanation:

the steps on how to evaluate 54^2 and 82^2 using the formula for squaring a binomial are:

1. Write the binomial as a sum of two terms.

\(54^2 = (50 + 4)^2\)

\(82^2 = (80 + 2)^2\)

2. Square each term in the sum.

\(54^2 = (50)^2 + 2(50)(4) + (4)^2\\82^2 = (80)^2 + 2(80)(2) + (2)^2\)

3. Add the products of the terms.

\(54^2 = 2500 + 400 + 16 = 2916\\82^2 = 6400 + 320 + 4 = 6724\)

Therefore, the values  \(54^2 \:and \:82^2\)are 2916 and 6724, respectively.

Answer:

54² = 2916

82² = 6724

Step-by-step explanation:

A binomial refers to a polynomial expression consisting of two terms connected by an operator such as addition or subtraction. It is often represented in the form (a + b), where "a" and "b" are variables or constants.

The formula for squaring a binomial is:

\(\boxed{(a + b)^2 = a^2 + 2ab + b^2}\)

To evaluate 54² we can rewrite 54 as (50 + 4).

Therefore, a = 50 and b = 4.

Applying the formula:

\(\begin{aligned}(50+4)^2&=50^2+2(50)(4)+4^2\\&=2500+100(4)+16\\&=2500+400+16\\&=2900+16\\&=2916\end{aligned}\)

Therefore, 54² is equal to 2916.

To evaluate 82² we can rewrite 82 as (80 + 2).

Therefore, a = 80 and b = 2.

Applying the formula:

\(\begin{aligned}(80+2)^2&=80^2+2(80)(2)+2^2\\&=6400+160(2)+4\\&=6400+320+4\\&=6720+4\\&=6724\end{aligned}\)

Therefore, 82² is equal to 6724.

Answer:

Step-by-step explanation:

the step by step explanation is that Fe has 55.70 it either goes up or down because of scientifc explanation same with the Ca, K, Na, Mg

Total amount of drink in the jug is 1 1/10 litre.

To find the total amount of drink in the jug, we need to add the amount of water and the amount of lemon juice:

Amount of water = 3/5 litre

Amount of lemon juice = 1/2 litre

We need to find a common denominator to add these fractions. The smallest common multiple of 5 and 2 is 10. So we can rewrite the fractions with denominators of 10:

Amount of water = (3/5) x (2/2) = 6/10 litre

Amount of lemon juice = (1/2) x (5/5) = 5/10 litre

Now we can add the fractions:

Total amount of drink = 6/10 + 5/10 = 11/10 litre

Since the numerator is greater than the denominator, we have an improper fraction. We can convert it to a mixed number by dividing the numerator by the denominator:

11 ÷ 10 = 1 with a remainder of 1

So the total amount of drink in the jug is 1 1/10 litre.

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Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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Answer:

184

Step-by-step explanation:

SA = 2LW + 2LH + 2WH

SA = 2(5 × 4) + 2(5 × 8) + 2(4 × 8)

SA = 2(20) + 2(40) + 2(32)

SA = 40 + 80 + 64

SA = 184

-Sienna Sushi <3

YW

Answer:

m= 15

Step-by-step explanation:

\( \frac{m}{9} + \frac{2}{3} = \frac{7}{3} \)

To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.

\( \frac{m}{9} = \frac{7}{3} - \frac{2}{3} \)

Simplify:

\( \frac{m}{9} = \frac{5}{3} \)

Multiply both sides by 9:

\(m = \frac{5}{3} \times 9\)

Crossing out 3 from the denominator and from 9:

m= 5(3)

m= 15

Answer:

SAS

Step-by-step explanation:

You have two sides and the right angle

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked.

In terms of basketball, a  shot  is known to be the act of throwing a given basketball to a hoop.

Note that in the scenario above, since the ball has reaches the net at about 1.7 seconds after the shooter launches it, We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked as it will be hard for the player to do.

See full question below:

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

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The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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Evaluating a function means finding the value of the function that corresponds to a given value of x. To do this, simply replace all the x variables with whatever x has been assigned.

Evaluating our function at x = -4 and x = 6, we have:

and those are our answers.

To find the values of sinθ, cosθ, tanθ, cscθ, secθ, and cotθ for the angle θ in a standard position that passes through the point P=(-8,9) on the circle x²+y²=r², we can use the coordinates of P to determine the values.

First, let's find the value of r² using the coordinates of P:
x = -8
y = 9
Using the formula for the equation of a circle, x² + y² = r², we substitute the values of x and y into the equation:
(-8)² + 9² = r²
64 + 81 = r²
145 = r²

Now, let's find the values of sinθ, cosθ, and tanθ using the coordinates of P:
sinθ = y/r = 9/√145
cosθ = x/r = -8/√145
tanθ = y/x = 9/-8 = -9/8

To find the values of cscθ, secθ, and cotθ, we can use the reciprocal identities:
cscθ = 1/sinθ = √145/9
secθ = 1/cosθ = -√145/8
cotθ = 1/tanθ = -8/9

Therefore, the values of sinθ, cosθ, tanθ, cscθ, secθ, and cotθ for the angle θ in standard position that passes through the point P=(-8,9) on the circle x²+y²=r² are:
sinθ = 9/√145
cosθ = -8/√145
tanθ = -9/8
cscθ = √145/9
secθ = -√145/8
cotθ = -8/9

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Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48