Find the difference.
(−2g+7)−(g+11)=

The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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Answer:

The area of this section of pavement is 800 square feet

Step-by-step explanation:

10 ft times 80 ft = 800 square feet

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Answer:

a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3

b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3

In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.

Step-by-step explanation:

AnswerIf the number of data points is even, the median is the average of the two middle data points in the list.:

Step-by-step explanation:

Answer:

Equation for x

x=6t−2

Equation for y

y=−3t+5

Direction vector

6

-3

To find the maximum profit, we can look for the vertex of the parabolic function representing the profit.

The given profit function is:

\(Z = -3x^2 + 12x + 25\)

We can see that the coefficient of the \(x^2\) term is negative, which means the parabola opens downwards. This indicates that the vertex of the parabola represents the maximum point.

The x-coordinate of the vertex can be found using the formula:

\(x = \frac{-b}{2a}\)

In our case, a = -3 and b = 12. Plugging these values into the formula, we get:

\(x = \frac{-12}{2 \cdot (-3)}\\\\x = \frac{-12}{-6}\\\\x = 2\)

To find the maximum profit, we substitute the x-coordinate of the vertex into the profit function:

\(Z = -3(2)^2 + 12(2) + 25\\\\Z = -12 + 24 + 25\\\\Z = 37\)

Therefore, the maximum profit is 37.

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Answer:

the slope is m=4/3

Answer:

A

Step-by-step explanation:

The function is increasing in the interval in A because as the x-values increase so do the y-values on the graph, which can be shown by the graph sloping upwards at that specific section.

The graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given a graph of a trigonometric function,

As we know, the trigonometric function is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

From the graph, the function is increasing from 3π/2 to 2π

The graph slopes upward at that particular segment, indicating that the function is increasing in the interval in A as the x-values increase and the y-values on the graph follow suit.

Thus, the graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.

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If the length of a rectangle is nine inches more than its width and its area is 442 square inches, the width of the rectangle is 17 inches and its length is 26 inches.

Let's denote the width of the rectangle as "w" and its length as "l". From the problem statement, we know that:

l = w + 9 (since the length is nine inches more than the width)

The area of the rectangle is given by the formula:

A = l * w

Substituting in the expression for "l" in terms of "w", we get:

A = (w+9) * w

Simplifying, we get a quadratic equation:

w^2 + 9w - 442 = 0

We can solve this equation by factoring or using the quadratic formula. Factoring gives:

(w+26)(w-17) = 0

Therefore, the possible values for "w" are -26 and 17. However, since the width of the rectangle cannot be negative, we can eliminate -26 as a possible value. Thus, the width of the rectangle is 17 inches.

Using the expression for "l" in terms of "w", we can find the length:

l = w + 9 = 17 + 9 = 26 inches

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Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

Your answer is option A. square root of 4.

√4=2

Answer:

there are no numbers....

Answer:

3B: LCM = 1540

4B: HCF = 33 and LCM = 990

Step-by-step explanation:

First step is prime factorization.

2nd write the number as a product of its prime factors

For LCM take all numbers and if it is common take the higher power

For HCF take only the common numbers with the lower power.

See attached.

The equations out of the following that are true would be:

The remaining two I am not certain if they are true or not. The way they were laid out made little to no sense. If you could maybe evaluate further on the other options, perhaps I can double check them for you and see if there are any other remainder options that are true. However, I know for certain that A and B are true.

To determine the number of sewing machines needed if operations ran two 8-hour shifts per day, we can follow the steps mentioned below.

To calculate-
1. Calculate the total number of hours worked per week:
  2 shifts per day * 8 hours per shift * 5 days per week = 80 hours per week.

2. Determine the number of sewing machines needed per hour:
  This depends on the production capacity of each sewing machine. Let's say each machine can produce 10 units per hour.

3. Divide the total number of hours worked per week by the production capacity per hour:
  80 hours per week / 10 units per hour = 8 sewing machines needed.

Therefore, if operations ran two 8-hour shifts per day, 5 days per week, approximately 8 sewing machines would be needed. Remember to round the answer to the nearest whole number, as indicated in the question.

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Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

16 pi = 2 * pi r

Divide each side by 2 pi

16 pi /2 pi  = 2 pi r / 2 pi

8 = r

Answer:

\(radius = 8\)

Step-by-step explanation:

\(r = \frac{c}{2\pi} \\ r = \frac{16\pi}{2\pi} \\ r = 8\)

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The value of diameter for the given triangle inscribed in a circle will be 22.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

As per the given triangle inscribed a circle.

The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.

x + 2 = 2x - 7

2 = 2x - x - 7

x = 9

Thus, radius = 9 + 2 = 11

Diameter = 11 x 2 = 22 units.

Hence "The value of diameter for the given triangle inscribed in a circle will be 22".

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Answer:

I think it's A. The perimeter is 10 times the width.

Step-by-step explanation:

Please mark me brainliest if correct

Answer:

1. a worker who works for the company from home or somewhere else

2. Going to college to get a degree for your career.

3. teacher

4. False

5. job/occupation

6. There are plenty of jobs for x-ray technicians in the area.

7. shift supervisor (Not 100% sure)

8. working toward a goal

9. Health Sciences

10. True

11. at the competing company across the street (not sure like 30%)

12. student teaching in middle school

13. They work for someone else.

14. taking classes on how medical drugs interact with one another

15. outsourcing.

Step-by-step explanation:

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

It is 54.

Step-by-step explanation:

You divide 36 by 2/3.

Answer:

also got 136 its right

Step-by-step explanation:

Answer:

y=3/4x+2

Step-by-step explanation:

a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).

b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).

c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).

To develop confidence intervals for the population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

where the standard error is equal to the sample standard deviation divided by the square root of the sample size.

a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.

From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.

The standard error can be calculated as:

Standard Error = sample standard deviation / sqrt(sample size)

Standard Error = 4.4 / sqrt(56)

Standard Error ≈ 0.5882

Now we can calculate the confidence interval:

Confidence Interval = 22.5 ± (1.671 * 0.5882)

Confidence Interval = 22.5 ± 0.9816

Confidence Interval ≈ (21.52, 23.48)

b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.004 * 0.5882)

Confidence Interval = 22.5 ± 1.178

Confidence Interval ≈ (21.322, 23.678)

c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.678 * 0.5882)

Confidence Interval = 22.5 ± 1.574

Confidence Interval ≈ (20.926, 24.074)

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Answer:

This is a linear equation in slope-intercept form.