t=65
a. Evaluate the followings using MATLAB. (10 ilim sin(2x-4) ((1+1)x-55) 29 ((T+1)x2 +9x-81) ii. lim ((T +1) cos (2v - 1) + 2e4(v2+3v-5)) V--2

The average rate of change of the function over the interval is 3

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

The graph

The interval is given as

From x = -2 to x = 0

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(-2) = 0

f(0) = 6

Next, we have

Rate = (6 - 0)/(0 + 2)

Evaluate

Rate = 3

Hence, the rate is 3

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The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.

In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.

To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.

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Width=length

Let's assign a variable for the width, and call it x.

Since the width is equal to it's length, we can also call the length x.

The perimeter formula for a rectangle is 2(l+w).

Hope this helps!

Answer:

\(105ft\)

Step-by-step explanation:

Since it's saying that the width of a rectangle is its length, that means all the sides of the rectangle are equal.

Since a rectangle has only 4 sides, we can divide the perimeter of the rectangle (420 ft) by 4 (sides)

Note: perimeter is the sum of all sides!

420 ÷ 4 = 105

Hope this helps!

Answer:

40

Step-by-step explanation:

1/5 as a decimal is 0.2

8/0.2 = 40

Hope this helps!!

Answer:

A

Step-by-step explanation:

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

Answer:

A. The daily records of the distance of each hotel from home during a cross country trip.

Step-by-step explanation:

A discreet graph is one that is composed of unconnected, "scattered" points. The best option is A because B,C and D would all be graphed to show the increase or decrease in values, (function) while the distances of the hotels are not something that you would have to measure!

Answer:

A

Step-by-step explanation:

Because I have big brain and also y’all know what edge is I got it correct

Answer:

(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²

(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²

Step-by-step explanation:

(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²

The graph of the function between the values of 0 and 6 inclusive is found as follows;

A,              3·p²

0,               0

1,                1

2,               12

3,               27

4,               48

5,               75

6,               108

Please find attached the graph of A to 3·p²

From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²

The area of the rabbit cage when the width is 5.2 m = 81.5 m²

(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;

The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width

The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p

Where the total length of the wire mesh available = 40 meters for the cage

The 40 meters of wire mesh will be used round the perimeter of the cage

∴ 40 m. = 8·p

p = 40/8 = 5 m.

At p = 5 m. the area is given as A = 75 m².

Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².

By using exponent properties, we will get the simplified expression:

\(x^{-1}*y^{1/2}*z^2\)

Here we have the expression:

\((x^{1/2}*y^{-1/4}*z)^{-2}\)

Remember the exponent properties:

\((a^n)^m = a^{n*m}\)

And:

\((a*b)^n = (a^n)*(b^n)\)

So using these two properties, we can rewrite:

\((x^{1/2})^{-2}*(y^{-1/4})^{-2}*(z)^{-2}\\\\(x^{-2*1/2})*(y^{-2*-1/4})*(z^{-2}})\\\\x^{-1}*y^{1/2}*z^2\)

So we conclude that the completely simplified expression is:

\(x^{-1}*y^{1/2}*z^2\)

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Answer:

C

Step-by-step explanation:

Distribute the -2 to the exponents of x, y, and z.

x: 1/2 * -2/1 = -2/2 = -1

y: -1/4 * -2/1 = 2/4 = 1/2

z: 1/1 * -2/1 = -2/1 = -2

Now to get a negative out of the exponents, you simply move them on the other side of the equation (If it is on top move, it to the bottom and vice versa.)

So, once you move all of the exponents you get C.

Answer:

I would say A

Step-by-step explanation:

if wrong sorry the graph kinda blurry

Answer:

A

you can subtitute x=-10 and see f(x) , f(x) here is y

Obviously, Ali is correct. Khamis did a mistake, he forgot the negative sign of  - 5, when he divided b. He should have let - 5b and divided it by - 5 like ali did.

Good Luck

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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The width of the hot tub given its volume, length and depth is 7 feet.

A rectangular prism is a three-dimensional object with six faces. Opposite faces are identical.

Volume of a rectangular prism = length x width x height

Width = volume / ( depth x length)

159 1/4 ÷ (7 x 3 1/4)

637/4 ÷  (91/4)

637/4 x 4/91 = 7 feet

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The doubling time for the bacteria population is approximately 2.08 hours.

The formula for exponential growth

n = \(n_0\) × 2^(t/d)

where \(n_0\) is the initial number of bacteria (at t=0)

d is the doubling time

2^(t/d) is the factor by which the population has grown since t=0.

After 12 hours, there are 2 million bacteria

Substitute the values

24,691.4 =  \(n_0\) × 2^(12/d)

24,691.4/  \(n_0\) = 2^(12/d)

ln(24,691.4/ \(n_0\)) = ln(2^(12/d))

ln(24,691.4/  \(n_0\)) = (12/d) × ln(2)

d = 12 / (ln(24,691.4/  \(n_0\))/ln(2))

Estimate that the initial number of bacteria

\(n_0\) = 2000000 / 81

= 24691.4

Substitute this into our equation for d,

d = 12 / (ln(3)/ln(2))

d ≈ 2.08 hours

Therefore, the doubling time is approximately 2.08 hours.

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Answer:

Step-by-step explanation:

No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The cost of one apple is $0.70.

Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:

4a + 9b = 12.70 ...(1)

8a + 11b = 17.70 ...(2)

To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:

32a + 72b = 101.60

-32a - 44b = -70.80

Adding these two equations, we get:

28b = 30.80

Simplifying and solving for "b", we get:

b = 1.10

Now, we can substitute the value of "b" in equation (1) and solve for "a":

4a + 9(1.10) = 12.70

4a + 9.90 = 12.70

4a = 2.80

a = 0.70

Therefore, the cost of one apple is $0.70.

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Answers:

===========================================

Explanation:

The two items given

tells us that he spends 4*1.10 dollars on just the main course items. So that's why choice A is true.

-----------

From part A, we know that Juan spends 4*1.10 = 4.40 dollars on just the main course items. We also know the total cost of the meal is $9.80

This leaves 9.80 - 4.40 = 5.40 left over

Meaning that $5.40 is spent on dessert and drinks

The equation in part B is close, but the 4.40 should be 5.40 instead.

Choice B is false

-----------

"The dessert costs 50 cents more than the drink" means

r = d+0.50

Whatever the drink costs (d), we add on 50 cents or $0.50 to get the cost of the dessert (r). This is why choice C is false.

-----------

The system of equations we have so far is

\(\begin{cases}5.40 = d+r\\r = d+0.50\end{cases}\)

Start with the first equation, plug in r = d+0.50, and solve for d

5.40 = d+r

5.40 = d+d+0.50

5.40 = 2d+0.50

2d+0.50 = 5.40

2d = 5.40-0.50

2d = 4.90

d = 4.90/2

d = 2.45

Each drink costs $2.45, so choice D is true because Juan only bought one drink.

-----------

Lets use this value of d to find r

r = d+0.50

r = 2.45+0.50

r = 2.95

Each dessert costs $2.95, making choice E true as well (since he only bought one dessert).

The expression that matches the simplified form is 7x^5 - 6x + 5x^3 - x^2 + 4x. Option D.

To simplify the given expression, we can combine like terms by adding or subtracting coefficients of the same degree.

The given expression is:

3x^4 + 2x^3 - 5x^2 + 4x^2 + 6x - 2x - 3x + 7x - 3x^3

Combining like terms, we get:

(3x^4) + (2x^3 - 3x^3) + (-5x^2 + 4x^2) + (6x - 2x - 3x + 7x) - 3x

Simplifying further, we have:

3x^4 - x^3 - x^2 + 12x - 3x

Now, let's arrange the terms in descending order of their exponents:

3x^4 - x^3 - x^2 + 9x

Therefore, the simplified form of the given expression is:

3x^4 - x^3 - x^2 + 9x Option D is correct.

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Unfortunately, there is a mistake in the question. tan(θ) cannot be equal to 158, as the range of tangent function is between -∞ and +∞. Therefore, there is no solution for this question.

Given that tan(θ) = 158 and θ is in Quadrant I, we can use the Pythagorean identity to find sec(θ) and csc(θ).

Since tan(θ) = opposite/adjacent and tan(θ) = 158, let's assume the opposite side (O) is 158 and the adjacent side (A) is 1. Now, we can use the Pythagorean theorem to find the hypotenuse (H):

O² + A² = H²
(158)² + (1)² = H²
24964 + 1 = H²
24965 = H²
H = √24965

Now, we can find sec(θ) and csc(θ) using their respective formulas:

sec(θ) = hypotenuse/adjacent = H/A = √24965/1 = √24965

csc(θ) = hypotenuse/opposite = H/O = √24965/158

So, sec(θ) = √24965 and csc(θ) = √24965/158. These are the exact answers in the form of a fraction.

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Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

a) The measure of each exterior angle is 20°, since the exterior angle of a regular polygon is equal to 360° divided by the number of sides.

Exterior refers to the outside or outer surface of something. In architecture, exterior refers to the outermost layer of a building's structure and its design, which usually includes walls, windows, doors, and other features. The exterior of a building is important for its overall aesthetic appeal, but its purpose is also to protect the structure from the elements and provide insulation to the interior. Exterior materials can range from traditional stone and brick to synthetic finishes such as vinyl siding.

b) The number of sides is 18, since the measure of each interior angle is 140° and the sum of the interior angles of a regular polygon is 360° multiplied by the number of sides.
c) The sum of the interior angles is 2520°, since the sum of the interior angles of a regular polygon is 360° multiplied by the number of sides.

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it's the first 1 ~~~~~~~~~~~~~

Answer:

A

Step-by-step explanation:

You can, in your mind see the graph moving foward 4 units, and algebraically it is usually denoted by x minus the variable. Then you can move the graph down accordingly

Answer:

quadrant II

Step-by-step explanation:

counterclockwise counting a is in I, b is in II, c is in III, and d is in IV

Answer:

Point B is located on quadrant II (2)

Step-by-step explanation:

hope this helps and is right. p.s i really need brainliest :)

The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.

Frequency Distribution:

Digit Frequency

0 3

1 5

2 9

3 5

4 3

5 4

6 4

7 4

8 2

9 1

From the distribution of the digits, it appears that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.

The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements. For example, the frequency of the digit '2' is more than twice as high as the frequency of the digits '1' and '3', which is not likely to occur in a set of actual measurements.

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Answer:

We want to graph:

y = -4*sin(2*x) + 1

Such that the x-axis starts at x = 30

This is trivial to do if we use a program to graph or if we graph by hand, here we just need to draw the x-axis such that it crosses the y-axis at the point (30, 0)

Then let's graph the equation in that axis, we will get an image like the one you can see below.

125 x (5^4)7 as a single power of 5 is 28*5^4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

125 x (5^4)7

Now, 125 x (5^4)7

=125x140

=17500

=28*5^4

Therefore, by algebra the answer will be 28*5^4.

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Answer:

p≤19-2

p≤17

Step-by-step explanation:

this is the maening of equaliry

B. The statement is true.

Answer:

3/7 + 1/3 = 1621 ≅ 0.7619048

Spelled result in words is sixteen twenty-firsts.

Step-by-step explanation:

Answer:

7/21

Step-by-step explanation: