The graph of a linear equation is shown. Place values in the table to show three ordered pair are each part of the solution set of the linear equation. By the way, if you make your answer a troll, you can get punished by mods. I already have two warnings.

There are  212520  ways by which guests arrange themselves on a four person coach.

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.

there are total 23 guests and they arranged themselves in 4 person coach,

so,

n = 23 and r = 4

npr = n!/(n-r)!

= 23!/(23-4)!

= 23!/19!

= 23x 22 x 21 x 20x 19!/19!

now cancel the factorial 19 from numerator as well as denominator

=  23x 22 x 21 x 20

= 212520

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The ordered pair representing how much Chang spends in 10 years for bike insurance and new helmets is (x, y) = ($1500, $750),

where x represents the total insurance cost in 10 years and y represents the total helmet cost in 10 years.

To find the amount Change spends in 10 years for bike insurance and new helmets, we'll multiply his annual expenses by 10.

Multiply the annual insurance cost by 10.
$150 (insurance cost per year) × 10 (years) = $1500 (total insurance cost in 10 years)
Multiply the annual helmet cost by 10.
$75 (helmet cost per year) × 10 (years) = $750 (total helmet cost in 10 years)
Write the ordered pair using x for insurance and y for helmets.
(x, y) = ($1500, $750)
(x, y) = ($1500, $750).

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Volume of the cylinder as we know is πr²h, using the volume formula is = 1085.18ft³.

A cylinder's capacity, which indicates how much material it can carry, is determined by its volume. Geometry provides a precise formula for determining a cylinder's volume, which may be used to determine how much of any material, liquid or solid, can fit inside of it equally.

A cylinder is a three-dimensional object having two parallel, identical congruent bases.

In the given figure,

Radius of cylinder = 6ft.

Height of cylinder = 9.6ft.

Volume of cylinder = πr²h

= 3.14 × 6² × 9.6

= 1085.18ft³

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Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In △RST;

The vertices are, R(4, 1), S(7, 3), and T(6, 4)

Here, Translation: (x, y) → (x, y−1)

And, Reflection in the y-axis.

Hence, New coordinate of the image of △RST are,

⇒ R' = (- 4, 1 - 1) = (- 4, 0)

⇒ S' = (- 7, 3- 1) = (- 7, 2)

⇒ T' = (- 6, 4 - 1) = (- 6, 3)

Thus, Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

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Answer:

Wait why

Step-by-step explanation:

I don't understand can you ask your parents or friends. I don't give strangers money.

Answer:

Where is your attachment or question

Answer:

$42.50

Explanation:

Cost of the game = $25

The markup rate = 70%

Therefore, the selling price will be:

The selling price of the computer game is $42.50.

The equation of the tangent line to the Witch of Agnesi at a given point (x0, y0) is:  \(\(y - y_0 = \frac{-64a^3x_0}{(x_0^2 + 4a^2)^2}(x - x_0)\)\)

The tangent lines to the curve called the Witch of Agnesi at a given point can be determined by finding the derivative of the curve and evaluating it at that point.

To find the equation of a tangent line, we need the derivative of the curve. The equation of the Witch of Agnesi is given by:

\(y = \frac{8a^3}{x^2 + 4a^2}\)

where 'a' is a constant that determines the shape of the curve.

Taking the derivative of y with respect to x, we can find the slope of the tangent line:

\(\frac{dy}{dx} = \frac{-64a^3x}{(x^2 + 4a^2)^2}\)

Let's assume we want to find the tangent lines at the point (x0, y0). We can substitute these coordinates into the derivative expression:

\(\frac{dy}{dx}\Bigr|_{x=x_0} = \frac{-64a^3x_0}{(x_0^2 + 4a^2)^2}\)

This gives us the slope of the tangent line at the point (x0, y0).

Now, using the point-slope form of a line, we can write the equation of the tangent line:

\(y - y_0 = \frac{dy}{dx}\Bigr|_{x=x_0}(x - x_0)\)

Substituting the values we obtained earlier, the equation of the tangent line becomes:

\(y - y_0 = \frac{-64a^3x_0}{(x_0^2 + 4a^2)^2}(x - x_0)\)

This equation represents the tangent line to the Witch of Agnesi at the point (x0, y0).

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The estimated value of cos(34) is approximately -1.134.

To estimate the value of cos(34) using linear approximation, we can use the Taylor series expansion of cosine function around a certain point. Let's choose a = 30 as the point to produce a small error.

The Taylor series expansion of cosine function is given by:

cos(x) ≈ cos(a) - sin(a)(x - a)

Using a = 30 and x = 34, we can substitute these values into the formula:

cos(34) ≈ cos(30) - sin(30)(34 - 30)

Now, let's calculate the values:

cos(30) ≈ 0.866
sin(30) ≈ 0.5

cos(34) ≈ 0.866 - 0.5(4)
cos(34) ≈ 0.866 - 2
cos(34) ≈ -1.134

Therefore, using linear approximation with a = 30, the estimated value of cos(34) is approximately -1.134.

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Answer:

x = 13  and  x = -3

Step-by-step explanation:

divide each side by 2 first and get:

(x-5)² = 64

take the square root of each side next and get:

x - 5 = \(\sqrt{64}\)

x - 5 = 8  and  x - 5 = -8

x = 13  and  x = -3

Answer:

x = 13 and x = -13

Step-by-step explanation:

.........

Answer:

False

Step-by-step explanation:

I would say false;

This graph is really hard to read because of the way it's subdivided but one of the coordinate points is (0,-1) and the line clearly passes through the origin (0,0).

If you have the chance, please tell your teacher to provide better graphs that are actually readable.

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ 2(a  -3) + 4a

Simplify the expression, then we have

⇒ 2(a  -3) + 4a

⇒ 2a - 6 + 4a

⇒ 6a - 6

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

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The missing options are given below.

A. 6a - 6

B. 6a - 1

C. a - 6

D. None of the above

The correct option regarding the bank amount as a function of time is:

This is an exponential function because there is a common ratio in the balance between the weeks.

For this problem, the differences are given as follows:

The ratios are given as follows:

Due to the same ratios, an exponential function should be used, and the correct option is given by:

This is an exponential function because there is a common ratio in the balance between the weeks.

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Answer:c

Step-by-step explanation:

Answer:

QR=PS in a parallelogram

Therefore, 17.7 is the right answer.

9514 1404 393

Answer:

  left-to-right

Step-by-step explanation:

[There's a lot to read here. If you read it, maybe you'll have a better understanding.]

This is asking you the first step required to solve each of the equations.

The general process of solving an equation involves performing operations that result in the variable of interest being on one side of the equal sign (by itself), and everything else being on the other side. When variable and constant terms are mixed, we generally want to remove the variable term.

The underlying rule for all of this is "whatever is done to one side of the equation must also be done to the other side." The exceptions are simplification and substitution.

"Inverse" operations are of use in this process. That is why you are taught about the "additive inverse" (negative) of a number, and the "multiplicative inverse" (reciprocal) of a number. Adding the additive inverse results in the additive identity element (0). Similarly, multiplying by the multiplicative inverse results in the multiplicative identity element (1). Adding 0 or multiplying by 1 leaves only the original value.

__

With this in mind, we can look at the given equations to see what is needed to solve them.

2 +2y = y

  We see that the left side of the equation has both a constant term and a variable term. To remove the variable term we add its additive inverse: (-2y). Adding a negative value is the same as subtracting a positive value. That is, we can describe what we want to do as "subtract 2y from both sides".

When we do that, the result is ...

  2 +2y -2y = y -2y . . . . . here, we show the subtraction

  2 = -y . . . . . . . . . . . . . and this is the result of simplifying that.

Notice the y term is now on one side of the equal sign and the constant is on the other side. We are one step closer to the solution, which is the whole point.

__

5(y -4) = 2y

  This equation has parentheses. It often works well as a first step to eliminate the parentheses, generally using the distributive property. That is, we "distribute 5".

When we do that, the result is ...

  5(y) -5(4) = 2y . . . . . . . . here, we show the distribution

  5y -20 = 2y . . . . . . . and this is the result of simplifying that

This puts us one step closer to the solution, which is the whole point.

__

5y = 10 -2y

Here, the unwanted variable term is -2y on the right side of the equation. To remove it, we add 2y to both sides.

When we do that, the result is ...

  5y +2y = 10 -2y +2y . . . . . . . showing the addition of 2y

  7y = 10 . . . . . . . . . . . . . . . simplified

This puts us one step closer to the solution.

__

5 = 25y

This equation has the variable term and the constant term already separated. However, there is a coefficient on the variable term that is not equal to 1. We want to make that coefficient be 1. To do that, we multiply it by its multiplicative inverse: 1/25. That is, we divide both sides by 25.

When we do that, the result is ...

  5/25 = 25y/25 . . . . . . showing division by 25

  1/5 = y . . . . . . . . . simplified (and the fraction reduced)

This gives us the solution. There are no more steps required.

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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The probability that marksman will hits the target at most 13 times is  27.92%.

The number of successes ("x") is the probability mass function for such binomial distribution.

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

We are interested in the likelihood that the target will be struck exactly five times, therefore the desired number of successes is five (i.e., x = 13).

P(X = 13) =  ¹⁵C₁₃. (0.89)¹³ (0.11)²

P(X = 13) = 0.2792

P(X = 13) = 27.92%

Thus, the probability that marksman will hits the target at most 13 times is  27.92%.

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Answer:

34r+48

Step-by-step explanation:

36r+48-2r=34r+48

Answer:

To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18

Step-by-step explanation:

The value of the expression 6 - 1/3 will be 17 / 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

6 and 1/3

Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have

⇒ 6 - 1/3

⇒ (18 - 1) / 3

⇒ 17 / 3

The value of the expression 6 - 1/3 will be 17 / 3.

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Answer: 9/6 or 1 1/2

Step-by-step explanation:

9/2 ÷ 3

KCF (keep, change, flip)

9/2 × 1/3

Solve.

Final answer: 9/6

hope i helped :)

Answer:

When the coefficient of the variable is negative, as shown below,

Step-by-step explanation:

2-4y>14

-4y>14-2

-4y>12, divde through by - 4

y>-3

Answer:

Find the Central Angle from the Arc Length and Radius

You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.

Step-by-step explanation:

Answer:

51.3

Step-by-step explanation:

\(\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}\)

Answer:

45

Step-by-step explanation:

Answer:

Thursday's mark is 3/4 inch below Monday's mark.

Answer:

53 1/3 km/h

Step-by-step explanation:

average speed = (total distance)/(total time)

average speed = distance/time

time * average speed = distance

time = distance/(average speed)

250 km at 75 km/h

distance = 250 km

time = (250 km)/(75 km/h) = 3.33333... hours

350 km at 70 km/h

distance = 350 km

time = (350 km)/(70 km/h) = 5 hours

200 km at 30 km/h

distance = 200 km

time = (200 km)/(30 km/h) = 6.6666...  hour

total distance = 250 km + 350 km + 200 km = 800 km

total time = 3.33333... hours + 5 hours + 6.66666... hours = 15 hours

average speed = (total distance)/(total time)

average speed = (800 km)/(15 hours)

average speed = 53 1/3 km/h

The average speed of whole journey of the train is 45 km/hr

Average speed is the ratio of total distance travelled to total time taken. It is given by:

Average speed = total distance / total time

Given that a train travels 250 km with a average speed of 75 km/hr, hence:

75 = 250/time

time = 3.33 hours

It the travel 200 km with average speed of 30km/hr, hence:

30 = 200/time

time = 6.67 hours

The total distance = 200 km + 250 km = 450 km

The total time = 3.33 hr + 6.67 hr = 10 hours

Average speed = total distance/total time = 450 km/10 hours = 45 km/hr

The average speed of whole journey of the train is 45 km/hr

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The value of HI is 12.22

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

tan 42° = 11/HI

0.90 = 11 /HI

0.90 HI = 11

HI = 11/0.90

HI = 12.22

therefore the value of length HI is 12.22

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The formula for the Volume(V) of the cylinder is given as,

Given:

Therefore,

Hence, the volume of the cylinder is

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37