Assume that lines
that
appear to be
tangent are tangent.
Find the value of b,
c, and d.
36
108°
dº
I
a) b = 36, c = 180, d = 90
b) b = 72, c = 180, d= 90
c) b = 36, c = 90, d = 180
d) b = 72, c = 180, d = 180
e) b = 18, c = 180, d = 90
go to (4.7)
go to (5,-2)
go to (-5, 1)
go to (8,4)
go to (-4,2)

Answer:

a) 20 m/s²

b) 0

Step-by-step explanation:

average acceleration is, Vₙ - vₓ / Δt

where, Vₙ stands for final velocity,

Vₓ stands for initial velocity, and

Δt stands for change in time

according to the question,

for t₂, s = 2³ - 2² - 2 - 2 = 8 - 4 - 4 = 0

for t₄, s = 4³ - 4² - 4 - 2 = 64 - 16 - 8 = 64 - 24 = 40

substituting the values in the formulae,

average acceleration = 40 - 0 / 4 - 2 = 40/2 = 20 m/s²

when the velocity is 0 it indicates that acceleration will also be 0

A - The Average Acceleration Between:

T  =  2  and   T  =  4  is   16 m/s^2

B - The Acceleration When the Velocity is: Zero (0)   is  0 m/s^2  at  

      T = 1/3  and 4 m/s^2  at   T  = 1

        s(t)  =  t^3  - t^2  - t  -  2

        v(t) = d/dt(t^3  - t^2 - t - 2 )  = 3t^2  - 2t  -  1

        a(t) = d/dt(3t^2  - 2t  -  1 )  =  6t - 2

        a(2)  =  6(2) - 2 = 10

        a(4) = 6(4) - 2 = 22

        =  a(2) + a(4)/2  

        =   10 + 22/2

        =   16

        3t^2  -  2t  -  1   =  0

        t  =  1/3,  1

       a(1/3)  =  6(1/3)  -  2  =  0

       a(1)   =   6(1)     -  2   =  4  

A - The Average Acceleration Between T  =  2  and   T  =  4  is  16 m/s^2

B - The Acceleration When the Velocity is Zero (0)   is  0 m/s^2  at  

      T = 1/3  and 4 m/s^2  at   T  = 1

I hope this helps you!

Answer:

ok yes

Step-by-step explanation:

The number of games it will take until they tie in points scored if they continue at the same rate is;

7 games.

We are told that Bill averages 10 points a game and has 110 points for the season.

Thus, number of games a season it will take bill to reach 110 points is; 110/10 = 11 games

Aaron averages 12 points per game and has 96 points for the season. Thus, number of games a season it will take bill to reach 96 points is;

96/12 = 8 games.

Now, let the additional number of games to be played for them to have the same points be x. Thus;

110 + 10x = 96 + 12x

12x - 10x = 110 - 96

2x = 14

x = 14/2

x = 7

In conclusion, the additional number of games it will take for Bill and Aaron to have the same number of points is 7 games.

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The rectangle's measurements are 13.2 feet wide by 19.2 feet long, giving it a total area of 253 square feet.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Here,

length of rectangle=l

width=w

l=w+6

area=l*w

253=(w+6)*w

w²+6w-253=0

w=13.2 feet

l=19.2 feet

The dimensions for the rectangle that have area as 253 sq-feet will be 13.2 feet as width and 19.2 feet as length.

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Answer:

B: 27

Step-by-step explanation:

The total number of animals in a shelter is modeled by the function:

\(f(x)=2x^2-45x\)

Where x is the number of cages at the facility.

We want to determine the number of cages if there are a total of 243 animals at the shelter.

So, we can set our function to 243 and solve for x:

\(243=2x^2-45x\)

Subtract 243 from both sides:

\(2x^2-45x-243=0\)

Solve the quadratic. Factoring and completing the square seems too difficult, so we can use the quadratic formula:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

In this case, a = 2, b = -45, and c = -243. Substitute:

\(\displaystyle x=\frac{-(-45)\pm\sqrt{(-45)^2-4(2)(-243)}}{2(2)}\)

Evaluae:

\(\displaystyle x=\frac{45\pm\sqrt{3969}}{4}\)

Evaluate:

\(\displaystyle x=\frac{45\pm63}{4}\)

Therefore, our two solutions are:

\(\displaystyle x=\frac{45+63}{4}=27\text{ or } x=\frac{45-63}{4}=-\frac{9}{2}\)

Since we cannot have negative or half a cage, we can ignore the second solution.

Therefore, there are a total of 27 cages at the shelter.

Our answer is B.

Answer:

B. 27 is the answer.

Step-by-step explanation:

the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Given:

- The bank teller serves one customer in 5 minutes.

- The demand is 12 customers per hour.

To find the average time per customer, we can invert the rate of serving customers per minute:

Average time per customer = 1 / (12 customers/hour  60 minutes/hour) = 1 / 720 customers/minute

Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:

Utilization = (Time spent serving customers / Total available time)  100%

Time spent serving customers = Average time per customer  Number of customers

Time spent serving customers = (1 / 720 customers/minute)  (12 customers/hour)

Time spent serving customers = 12 / 720 hours

Utilization = (Time spent serving customers / Total available time)  100%

Utilization = (12 / 720 hours) / (1 hour)  100%

Utilization = 12 / 720  100%

Utilization = 1.67%

Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.

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Answer:

23

Step-by-step explanation:

\(3m^{2} - 4 = 3 * (-3)^{2} - 4 = 3 * 9 - 4 = 27 - 4 = 23\)

(a) The most likely distribution of House seats  would be 96 Republicans and 64 Democrats. b) The maximum number of Republican representatives could be 16 and minimun is 0.

(a) The most likely distribution of House seats, given a population of 14 million, with 60% Republican and 40% Democrat party affiliations, and 16 representatives, would be 96 Republicans and 64 Democrats. This distribution is determined by allocating seats in proportion to the party affiliations based on the population.

(b) If the districts could be drawn without restriction (unlimited gerrymandering), the maximum and minimum number of Republican representatives who could be sent to Congress would be as follows:

The maximum number of Republican representatives could be 16, which would occur if all the districts were drawn in a way that heavily favored Republicans, resulting in each district electing a Republican representative.

The minimum number of Republican representatives could be 0, which would occur if all the districts were drawn in a way that heavily favored Democrats, resulting in each district electing a Democratic representative.

The actual distribution of House seats would depend on various factors, including the specific boundaries of the districts and the voting patterns of the population in each district.

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Was Gud! How are you?

Anyway, the correct answer my brother/sister is: C- (0,2)

Hope you have a wonderful/blessed day ;>

Answer:

$172.50

Step-by-step explanation:

Simply do 230 x 0.75 which is the percent subtracted by 25 that decreases a value and makes it less

Answer:

9>a

Step-by-step explanation:

The greater than symbol is >

The less than symbol is <

It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.

Answer:

9>a

Step-by-step explanation:

the side with the bigger opening means that side of the inequality has a greater value  so since 9 is greater than a the bigger opening will go to 9.

Answer:

(x + 8)(y - 3)

Step-by-step explanation:

Since you have a few minutes left, I will make this quick.

Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.

If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)

Answer:

Angles of:

1 = 87 degree, 2= 62 degree

Step-by-step explanation:

Here, we have a Vertically opposite angle so equate both the equations and get the value of x. then substitute the value of x in both equations.

hope it helps!

The equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π) is y = -2x + (2π + 2nπ sin(n) - π), where m = -2 - 2nπ sin(n) and b = 2π + 2nπ sin(n) - π.

To find the equation of the tangent line, we need to find the derivative of y with respect to x, and then evaluate it at the given point (π, -π) to find the slope of the tangent line. Then we can use the point-slope form of a line to find the equation of the tangent line in the form y = mx + b.

Taking the derivative of y with respect to x, we get:

dy/dx = 2cos(n) - 2n x sin(n)

Evaluating this derivative at x = π, we get:

dy/dx |x=π = 2cos(n) - 2n π sin(n)

Substituting x = π and y = -π into the original equation, we get:

-π = 2πcos(n)

cos(n) = -1/2

Since we want the equation of the tangent line at the point (π, -π), we can substitute x = π and y = -π into the point-slope form of a line:

y - (-π) = m(x - π)

Simplifying, we get:

y = m(x - π) - π

Substituting cos(n) = -1/2, we have:

dy/dx |x=π = 2cos(n) - 2n π sin(n) = -2 - 2nπ sin(n)

Setting this equal to the slope of the tangent line, we have:

m = -2 - 2nπ sin(n)

Substituting this value of m into the equation of the tangent line, we have:

y = (-2 - 2nπ sin(n))(x - π) - π

Therefore, the equation of the tangent line is:

y = -2x + (2π + 2nπ sin(n) - π)

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Complete question:

Find the equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π). The equation of this tangent line can be written in the form y = mx + b, where m and b are constants. Find the values of m and b.

Answer:

x=14

Step-by-step explanation:

1 way

Step 1: Subtract 3/4x from both sides.

1/4x − 5 − 3/4x=3/4x−12−3/4x

−1/2x−5=−12

Step 2: Add 5 to both sides.

−1/2x−5+5=−12+5

−1/2x=−7

Step 3: Multiply both sides by 2/(-1).

(2/−1)*(−1/2x)=(2/−1)*(−7)

2nd way

Add 5 to both sides

1/4x - 5+5 = 3/4x - 12+5

Simplify

1/4x = 3/4x -7

Subtract 3/4x from both sides

1/4x-3/4x= 3/4x-7-3/4x

Simplify

-1/2x=-7

Multiply both sides by -2

(-1/2x)(-2)=(-7)(-2)

x=14

sorry it to so long

the second picture is not acceptable

Answer:

x=3 1/2 or 3.5

Step-by-step explanation:

i think this is right aaaa sorry i did it really weirdly  

Answer:

Step-by-step explanation:

The minimum value of C is 23, which can be achieved when x = 2 and y = 4. This satisfies both of the given constraints and falls within the specified range for x and y.

Answer:

410 is the outlier.

What is an outlier?

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal.

In simpler words, it is the number that is significantly bigger or smaller than the rest of the numbers, and 410 is it.

Step-by-step explanation:

Hope it helps! =D

Answer:

m = -4

Step-by-step explanation:

-2m-4-12 = -8

-2m = -8+4+12

-2m = 8

m = -8/2

m = -4

Answer:

m=12

Step-by-step explanation:

Substitute 12 for m.

To calculate the average benefit of hours we must add all the values then divide by the number of values that we have.

Average is a term that refers to a value that represents the mean of a group of values. For example, if my friends and I have a race to run from point A to point B and our times are:

The average time of my group of friends would be:

69 + 58 + 45 + 120 + 76 = 368

358 ÷ 73.6 seconds

The average of my group of friends would be 73.6 seconds.

According to the above, to identify the average profit per hour of my neighbors who own their lawns, you must use the same formula to obtain the result.

Note: This question is incomplete because the are some information missing. However I can answer it based on my prior general knowledge.

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Answer:

A

Step-by-step explanation:

-3×6x=-18x -3×-2=6 -18x+6

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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The value of the equation is p = ( m/2 ) + 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

m = 8 - 2 ( p - m )   be equation (1)

On simplifying the equation , we get

m = 8 - 2p + 2m

Subtracting m on both sides of the equation , we get

m + 8 - 2p = 0

Adding 2p on both sides of the equation , we get

2p = m + 8

Divide by 2 on both sides of the equation , we get

p = ( m/2 ) + 4

Hence , the equation is p = ( m/2 ) + 4

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The formula of a slope:

\(\huge\begin{array}{ccc}m=\dfrac{y_2-y_1}{x_2-x_1}\end{array}\)

We have two points:

\((0,\ 3)\to x_1=0,\ y_1=3\\\\(5,\ 13)\to x_2=5,\ y_2=13\)

Substitute:

\(m=\dfrac{13-3}{5-0}\\\\m=\dfrac{10}{5}\\\\\boxed{m=2}\)

Answer:

Slope = 2

Step-by-step explanation:

Now we have to,

→ find the slope of the line.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (13 - 3)/(5 - 0)

→ m = 10/5

→ [ m = 2 ]

Hence, the slope is 2.

The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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The graph showing one cycle of the trigonometric function y = 8 cos 8x is plotted and attached

Trigonometric graphs are graphical representations of trigonometric functions, which are functions that relate the angles of a right triangle to the ratios of its sides. The three most commonly used trigonometric functions are

The graphs of these functions are periodic, meaning they repeat themselves over a regular interval.

In the problem, the graph plotted is that of cosine function and the amplitude of is 8

The 5 points marked are

(-π/16, 0) - the first point

(0, 8) - showing the amplitude and 1/4 cycle

(π/16, 0) - 1/2 cycle

(-π/16, -8) - 3/4 cycle

(3π/16, 0) - one complete cycle

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The number of pieces per stack after 3 cuts represented by a power expression can be written as \( 3^{3} \)

Using a power expression :

Therefore, the Number of pieces present in stack after 3 cuts is \( 3^{3} \)

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The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278

The uniform distributed between a and b minutes.

The probability of finding a value above x is:

P(X > x) = \(\frac{b-x}{b-a}\)

The time is evenly distributed between 0 and 9 minutes.

This implies that a=0 , b=9

Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.

p(X > 4.25) = \(\frac{9-4.25}{9-0}\)

                 = 0.5278

There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.

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Answer:

D

Step-by-step explanation:

2x+6=-3x-14

2x+3x=-14-6

5x=-20

x=-4

Answer:

X = -4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.