What is the area of the figure?
Enter your answer in the box.
in2

Answer:

x = 3

Step-by-step explanation:

2x + 3 = 9

9 - 3 = 6

3 - 3 = 0

2x = 6

6/2 = 3

2/2 = 1

x = 3

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

The vertical assymptote is at x = 0

Step-by-step explanation:

Vertical assymptote are simply defined as lines that correspond to the points where the denominator of a rational function is zero.

From the graph, we can see that the curve remains on the y - axis at x = 0

Thus, the vertical assymptote is x = 0

The equation whose graph is a line perpendicular to the graph of y=4 and which passes through the point (2, 5)​ is x = 2

From the question, we have the following parameters that can be used in our computation:

Perpendicular to the graph of y = 4

The above means that

The equation is a vertical line that passes through the x-axis

In the point (2, 5), we have

x = 2

This means that

The equation of the line is x = 2

Read more abot linear relation at

https://brainly.com/question/30318449

#SPJ1

Station 2 is the bottleneck station because it has the longest processing time. The system cycle time is 14 minutes, and the capacity at bottleneck pacing is 1 unit every 14 minutes.

To determine the bottleneck station in the production line, we need to identify the station with the slowest processing time.

Let's calculate the processing times for each station:

Station 1: 12 minutes per unit.

Station 2: Each machine takes 14 minutes per unit, but since the unit only needs to be processed on one of the machines, the processing time for Station 2 is also 14 minutes.

Station 3: 10 minutes per unit.

Comparing the processing times, we find that Station 2 has the longest processing time of 14 minutes. Therefore, Station 2 is the bottleneck station because it takes the most time to process a unit compared to the other stations.

The system cycle time is determined by the bottleneck station since it sets the pace for the entire production line. In this case, the system cycle time is 14 minutes.

The capacity at bottleneck pacing is the maximum number of units that can be produced in the system within the cycle time. Since the bottleneck station takes 14 minutes per unit, the capacity at bottleneck pacing is 1 unit every 14 minutes.

To calculate the utilization of each station at bottleneck pacing, we divide the processing time of each station by the system cycle time and multiply by 100 to get the percentage.

Station 1 utilization: (12/14) * 100 = 85.7%

Station 2 utilization: (14/14) * 100 = 100% (as it is the bottleneck station)

Station 3 utilization: (10/14) * 100 = 71.4%

Learn more about percentage here:

https://brainly.com/question/14801224

#SPJ11

The series is convergent from \(\(x = 9\),\) left end included \((Y), \(x = \infty\)\), right end included \((N).\)

To determine the convergence of the series \(\(\sum_{n=1}^{\infty} \frac{8n}{(x-8)^n}\)\), we can use the ratio test.

The ratio test states that if \(\(\lim_{{n \to \infty}} \left|\frac{a_{n+1}}{a_n}\right|\)\) is less than 1, then the series converges. If it is greater than 1, the series diverges. If the limit is equal to 1 or the limit does not exist, the test is inconclusive.

Let's apply the ratio test to our series:

\(\[\lim_{{n \to \infty}} \left|\frac{\frac{8(n+1)}{(x-8)^{n+1}}}{\frac{8n}{(x-8)^n}}\right|\]\)

Simplifying this expression:

\(\[\lim_{{n \to \infty}} \left|\frac{8(n+1)(x-8)^n}{8n(x-8)^{n+1}}\right|\]\)

\(\[\lim_{{n \to \infty}} \left|\frac{(n+1)}{n(x-8)}\right|\]\)

Taking the limit as \(\(n\)\) approaches infinity:

\(\[\lim_{{n \to \infty}} \left|\frac{n+1}{n(x-8)}\right| = \frac{1}{x-8}\]\)

Now, we check the conditions for convergence:

If \(\(\frac{1}{x-8} < 1\)\), then the series converges.

If \(\(\frac{1}{x-8} > 1\),\) then the series diverges.

If \(\(\frac{1}{x-8} = 1\)\), the test is inconclusive.

Therefore, the series is convergent when \(\(\frac{1}{x-8} < 1\),\) which is equivalent to \(\(x-8 > 1\).\) Solving this inequality, we find \(\(x > 9\).\)

Hence, the series is convergent from \(\(x = 9\),\) left end included \((Y), \(x = \infty\)\), right end included \((N).\)

To know more about convergent visit-

brainly.com/question/31424722

#SPJ11

Answer:

$9

Step-by-step explanation:

One costs $1.80 so you must times by 5 (total amount) to get the final value

Answer:

Step-by-step explanation:

Kindly share the exact question

Answer:

6. P= 22ft

   A=30ft²

7. P= 37 ft

  A= 65 ft²

8. P= 36 ft

   A=81 ft²

Step-by-step explanation:

Applying a subtraction operation, it is found that his new ERA was of 3.17.

ERA is a baseball concept, but understanding of baseball is not relevant to this question.

One year, a professional baseball pitcher had a 3.91 ERA. The next year, it was 0.74 points lower, hence it was given by the subtraction of 3.91 and 0.74, that is:

ERA = 3.91 - 0.74 = 3.17.

His new ERA was of 3.17.

More can be learned about subtraction operations at https://brainly.com/question/2475734

The total amount spent was $11.40.

To find out how much was spent, we need to add up the cost of the first cup, the cost of the refills, and the cost of the bagel, and then subtract the discount. Here's how to do it step-by-step:

1. Start with the cost of the first cup: $4.25
2. Add the cost of the refills: $2.25 + $2.25 = $4.50
3. Add the cost of the bagel: $3.15
4. Add up the total cost so far: $4.25 + $4.50 + $3.15 = $11.90
5. Subtract the discount: $11.90 - $0.50 = $11.40

So the total amount spent was $11.40.

Learn more about discount here: https://brainly.com/question/1548141

#SPJ11

It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

To find how long will it take joe to climb from street level to the roof of the sears tower:

Therefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.

Know more about speed here:

https://brainly.com/question/13943409

#SPJ4

Answer:

\(\sqrt{20}\)

Step-by-step explanation:

Square root of 9 is 3

20 is 4.472135955

27 is 5.19615242271

4.5 is intantly wrong because it is rational.

Answer: √20

Step-by-step explanation:

Answer:

C

a = 1 : b=-8; C = 12

Step-by-step explanation:

I think you did not include the sign between the x^2 and the 8x...my guess is that it is a minus.

By process of elimination the answer is not B or D bc the a-value is 1 not 0.

Then the +12 you did include in the original question indicates that the c-value is 12 not -12 eliminating answer A.

We were given the equation for Ann's candies, which is as follows:

To solve it for Susan we have to isolate the "S" variable on the left side. This is done by changing the other terms from one side to the other, when we do that their operation gets switched to its inverse. With this in mind let's solve the equation:

The equation for susan is S = 3/2 + A/2.

Answer:

There are an infinate amount of solutions

Step-by-step explanation:

Answer:

The final answer is correct.

Answer:

8.5w + 1.5

Step-by-step explanation:

I hope this helps!

Answer:5-(17w+3)

—————————-

10

Step-by-step explanation: 1): "8.8" was replaced by "(88/10)". 5 more similar replacement(s)

STEP

1

:

44

Simplify ——

5

Equation at the end of step

1

:

35 42 15 96 44

((((——•w)+(——•w))+——)+(——•w))-(——•w)

10 10 10 10 5

STEP

2

:

48

Simplify ——

5

Equation at the end of step

2

:

35 42 15 48 44w

((((——•w)+(——•w))+——)+(——•w))-———

10 10 10 5 5

STEP

3

:

3

Simplify —

2

Answer:

a) the first negative number will be -1

b) A, B and C

c) 0.3

Step-by-step explanation:

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

To learn more about correlation refer to:

https://brainly.com/question/4219149

#SPJ4

Answer:

the answer  to your question is 10

Step-by-step explanation:

if you divide 40 by 25% then you will get 10

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

To learn more about tangent click here:

brainly.com/question/10053881

#SPJ11

Answer:

C

Step-by-step explanation:

Here, we want to know what what the display on the calculator means.

Well, the expression has to do with how scientific calculators display powers of 10.

So what this means is that the value 3.456 is raised to the power of 14.

This is a way in which the screen of the scientific calculators maximizes the space on their screens.

Perhaps, we have the result of a multiplication to the powers of 27. It would be quite funny seeing 27 zeros lying on the screen of the calculator right? isn’t it?

So the calculator makes a better way of this by just printing E 27 and this automatically means 10 raised to the power of 27

This makes our answer C

Kindly note that the + sign indicates that the power of the 10 is positive 14.

The simple interest was $10.5 and the amount after 1 year would be $360.5 in her account.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

We have been given data as

Principal amount (P) = $350

Time (T) = 1 year

The rate of interest (R) = 3%

Simple interest= P × R × T

Simple interest = 350 × 3/100 × 1

Simple interest = $10.5

So the amount after 1 year would be P + S.I. = 350 + 10.5 = $360.5

Therefore, the simple interest would be $10.5 and the amount after 1 year would be $360.5.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ1

The probability that a point chosen randomly inside the rectangle is in the triangle is 1/3, or approximately 0.33 to the nearest hundredth.

The probability that a point chosen randomly inside the rectangle is in the triangle is equal to the area of the triangle divided by the area of the rectangle.

To find the area of the triangle, we need to first find its base and height. The base of the triangle is the length of the rectangle, which is 8 units. To find the height, we need to draw a perpendicular line from the top of the rectangle to the base of the triangle. This line has a length of 4 units. Therefore, the area of the triangle is (1/2) x base x height = (1/2) x 8 x 4 = 16 square units.

The area of the rectangle is simply the length times the width, which is 8 x 6 = 48 square units.

Therefore, the probability that a point chosen randomly inside the rectangle is in the triangle is 16/48, which simplifies to 1/3.


In conclusion, the probability that a point chosen randomly inside the rectangle is in the triangle is 1/3, or approximately 0.33 to the nearest hundredth.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

x = 2

Step-by-step explanation:

The triangle is reflected across the circle meaning it should be the same on both sides.

Answer:

c to the power of 5 x c = c⁶

Step-by-step explanation:

We need to find the expression for c to the power of 5 x c.

c to power 5 is : c⁵

Now, multiply c⁵ and c.

c⁵ × c = c⁵⁺¹

= c⁶

So, the final expression is c⁶. Hence, this is the required solution.

Answer:

Step-by-step explanation:

c to the power of 6

Answer:

The answer is x=9 so, its option 3.

Answer:

The answer to the question provided is 9.

Sin 73° has a value of 0.9563. (approximately).

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle. If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.

Given Data

Trigonometric ratio of

sin73°

The sine trigonometric function for an angle of 73 degrees has a value of sin 73 degrees.

Sin 73° has a value of 0.9563. (approximately).

To learn more about trigonometric ratios, visit:

https://brainly.com/question/25122825

#SPJ13

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.