Find f.
f"(0) = sin(0) + cos(0), f(0) = 4, f'(0) = 3
f(0) = ...

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

1)

=6-15+7

=6-22

=-16 answer

2)

=7×40/5

=Then,7×8

=56 answer

Answer:

i think its six i haven't done this in a while tho

Step-by-step explanation:

sort them in order from least to greatest and find the middle... i think... that could be medium

Answer:

Step-by-step explanation:

The mean is the average so add them all up and divide the sum by the amount of number there are \(2+9+7+4+6+1=29\) and then divide 29÷6 = 4.8333333333 (3 continued) or 29/6 (fraction) also if that is not the answer round it and it would be 4.8

Answer:

1123

Step-by-step explanation:

I did 6739 / 9 = 1123.

Expanding and simplifying the expression:

4 ( p + 6 ) + 3 ( p − 2 ) = 4p + 24 + 3p - 6

= 7p + 18

So, the simplified expression is 7p + 18.

Answer:

\(4(p + 6) + 3(p - 2) \\ \longrightarrow \: 4p + 24 + 3p - 6 \\ solving \: the \: like \: terms \: together \: we \: get \\ \longrightarrow \:\boxed{ 7p + 18}\)

hope helpful! :)

answer: 6

step-by-step explanation:

hihi so the triangle in that picture is a isosceles triangle, you can tell from the angles, theyre both 63 degrees, meaning the two sides are equal.

first set up your equation and then solve

3x = 4x -2

-x = -2

x = 2

plug it in for AB

3(2) = 6

AB = 6

so your answer would be b !!

hope this helps !!!!

Answer:

D. Angle bisector

Step-by-step explanation:

In the diagram shown, segment AC divides the major angle into two equal parts. The two angles divided are congruent to each other.

An angle bisector divides an angle by bisecting the angle.

Therefore, segment AC is referred to as an angle bisector.

The volume of the frustum of the right circular cone is approximately 21850.2 cubic units where  frustum of a cone is a three-dimensional geometric shape that is obtained by slicing a larger cone with a smaller cone parallel to the base.  

To find the volume of a frustum of a right circular cone, we can use the formula:

V = (1/3) * π * h * (r₁² + r₂² + (r₁ * r₂))

where V is the volume, h is the height, r₁ is the radius of the lower base, and r₂ is the radius of the top base.

Given the values:

h = 15

r₁ = 25

r₂ = 19

Substituting these values into the formula, we have:

V = (1/3) * π * 15 * (25² + 19² + (25 * 19))

Calculating the values inside the parentheses:

25² = 625

19² = 361

25 * 19 = 475

V = (1/3) * π * 15 * (625 + 361 + 475)

V = (1/3) * π * 15 * 1461

V = (1/3) * 15 * 1461 * π

V ≈ 21850.2 cubic units

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The volume of the frustum of the right circular cone is approximately 46455 cubic units.

To find the volume of a frustum of a right circular cone, we can use the formula:

V = (1/3) * π * h * (R² + r² + R*r)

where V is the volume, π is a constant approximately equal to 3.14, h is the height of the frustum, R is the radius of the lower base, and r is the radius of the top base.

Given that the height (h) is 15 units, the radius of the lower base (R) is 25 units, and the radius of the top base (r) is 19 units, we can substitute these values into the formula.

V = (1/3) * π * 15 * (25² + 19² + 25*19)

Simplifying this expression, we have:

V = (1/3) * π * 15 * (625 + 361 + 475)

V = (1/3) * π * 15 * 1461

V ≈ (1/3) * 3.14 * 15 * 1461

V ≈ 22/7 * 15 * 1461

V ≈ 46455

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Answer:

all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²

longest side is called hypotenious (h)

and u can assume any of the remaining side as p and b as your choice

eg=

1) h=13

p=12

b=?

using pythagrous theroem

h²=p²+b²

13²=12²+b²

169= 144+b²

169-144=b²

25=b²

25 is the square root of 5 so

5²=b²

square root of each side will be cancelled so

b = 5

In this way u can solve your questione.....

Answer:

1.

\( {h}^{2} = {p }^{2} + {b}^{2} \)

\( {13}^{2} \: = {12}^{2} + {b}^{2} \)

\( {b}^{2} = {13}^{2} - {12}^{2} \)

\( {b }^{2} = 169 - 144\)

\( {b}^{2} = 25/tex]

\(b = \sqrt{25} \)

\(b = 5\)

hope this helps you all of your question's is base on the formula given above

mark me as brainliest pls

Artificial Intelligence (AI) is a branch of computer science focused on the creation of intelligent machines that work and react like humans. AI, unlike traditional programming, uses algorithms to enable machines to learn from their experiences, identify patterns in the data, and make decisions.

Factors in the global and local environment conducive to the development of AI are discussed below:

Global Environment: The following factors in the global environment are conducive to AI development: Advancement in Technology: In recent years, there has been a rapid advancement in technology. Various factors such as Big Data, the Internet of Things (IoT), and the Cloud have contributed to the development of AI. With the rise of automation in businesses and industries, AI has become more important than ever before. Investment: Companies such as Microsoft, and Amazon are investing heavily in AI. Tech start-ups are also mushrooming all over the world, focusing on AI, making it a competitive industry with a promising future. Demographic Change: Changes in the global demographic profile may lead to an increase in demand for AI. AI applications, such as autonomous cars, are being developed to meet the needs of an aging population, while virtual assistants are being developed to support younger generations.

Local Environment: Local factors also play an important role in the development of AI. These include The Availability of Talent: The availability of a skilled workforce is crucial for the development of AI. Companies need to hire data scientists, AI developers, and engineers, who can build and maintain AI models. Infrastructure: AI systems require high-end infrastructure such as servers, storage, and bandwidth. The availability of this infrastructure is important for AI development. Education: Education is an essential factor in the development of AI. With the rise of AI, educational institutions must incorporate AI in their curriculum to ensure that graduates have the necessary skills to meet the demands of the industry. Funding: The availability of funding is crucial for AI development. Governments and private institutions should invest in AI start-ups, research, and development, to ensure that AI reaches its full potential.

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Step-by-step explanation:

MEAN=SUMOFVALUES/NUMBEROFVALUES

MEDIAN=

MODE=THEMOSTOCCURFREQUENTLY

RANGE=HIGESTVALUE-LOWESTVALUE

Answer:

the answer is (5,-1)

Step-by-step explanation:

if you click on the image it will show you the image full screen

Answer:

It’s c

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

          x² + 9 = 298

Subtract 9 from both sides,

         x² + 9 - 9 = 298 - 9

                 x²    = 289

Prime factorize 289,

                 x²   = 17*17

Take square root,

                \(\sf \sqrt{x^2}= \sqrt{17*17}\)

                    x = 17

Answer:

d

Step-by-step explanation:the line from the graph goes down from the original point

Answer:D

this is not worth 20 points it's worth 10 also it's D

Answer:

Step-by-step explanation:

y + 4  = 2(x - 2)

y + 4 = 2x - 4

y = 2x - 8

Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this​ belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

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a. The non-pivot columns are the second, fourth, and sixth columns. Let's call these columns v1​,v2​, and v3​, respectively. So, H=Span{v1​,v2​,v3​}.
b.  L=p+H=⎣⎡​680​⎦⎤​+Span{v1​,v2​,v3​} is the solution set to the inhomogeneous system Ax=b.

a) To determine vectors v1​,…,vs​∈R6 such that the solution set to the homogeneous system Ax=0 is H=Span{v1​,…,vs​}, we need to find the null space of matrix A.

The null space, also known as the kernel, of a matrix is the set of all vectors x that satisfy the equation Ax=0. In other words, it is the set of all solutions to the homogeneous system Ax=0.

To find the null space, we can use row reduction to bring matrix A to its reduced row echelon form (RREF). The non-pivot columns in the RREF form a basis for the null space.

In this case, we have A=⎣⎡​000​100​300​010​001​564​⎦⎤​. By performing row reduction, we can find the RREF of A:

RREF(A)=⎣⎡​100​000​000​010​001​000​⎦⎤​

The non-pivot columns are the second, fourth, and sixth columns. Let's call these columns v1​,v2​, and v3​, respectively. So, H=Span{v1​,v2​,v3​}.

b) To determine a vector p∈R6 such that the solution set to the inhomogeneous system Ax=b is L=p+H, where H is as in (a), we need to find a particular solution to the inhomogeneous system.

To find a particular solution, we can use the method of Gaussian elimination or matrix inversion. In this case, we can use Gaussian elimination.

Given b=⎣⎡​780​⎦⎤​, we augment matrix A with b and perform row reduction:

⎣⎡​000​100​300​010​001​564​780​⎦⎤​ → ⎣⎡​100​000​000​010​001​000​100​⎦⎤​ → ⎣⎡​100​000​000​000​001​000​680​⎦⎤​

The RREF gives us a particular solution, let's call it p=⎣⎡​680​⎦⎤​.

So, L=p+H=⎣⎡​680​⎦⎤​+Span{v1​,v2​,v3​} is the solution set to the inhomogeneous system Ax=b.

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The estimated equation for these data is: Y= 6.47 + 1.013x

When x = 6, the estimated value of y is approximately 12.55.

To compute the estimated regression equation and predict the value of y when x = 6, we'll follow these steps:

Given data:

xi: 2, 6, 9, 13, 20

yi: 7, 18, 9, 26, 23

a. Compute b0 and b1 and develop the estimated equation for these data.

Step 1: Calculate the means of x and y:

x = (2 + 6 + 9 + 13 + 20) / 5 = 10

y = (7 + 18 + 9 + 26 + 23) / 5 = 16.6

Step 2: Calculate the deviations from the means:

xi - x: -8, -4, -1, 3, 10

yi - y: -9.6, 1.4, -7.6, 9.4, 6.4

Step 3: Calculate the sum of squared deviations:

Σ(xi - x): 180

Σ(yi - y)²: 316.8

Step 4: Calculate the sum of cross-products:

Σ(xi - x)(yi - y): 182.4

Step 5: Calculate the slope (b1):

b1 = Σ(xi - x)(yi - y) / Σ(xi - x)² = 182.4 / 180 ≈ 1.013

Step 6: Calculate the intercept (b0):

b0 = y - b1 * x = 16.6 - 1.013 * 10 ≈ 6.47

Therefore, the estimated equation for these data is:

Y = 6.47 + 1.013x

b. Use the estimated regression equation to predict the value of y when x = 6.

To predict the value of y when x = 6, substitute x = 6 into the estimated equation:

y = 6.47 + 1.013 * 6

y ≈ 6.47 + 6.078

y ≈ 12.55

Thus, when x = 6, the estimated value of y is approximately 12.55.

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The unit rate of $68 dollars for 8 1/2 hour is 8 dollars/hour.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.

Now it is given that,

Number of dollars = $68

Number of hours = 8 1/2 hour

Converting hours into improper fraction we get

⇒ Number of hours = 17/2 hour

Thus, unit rate = Number of dollars / Number of hours

⇒ unit rate = 68/( 17/2 ) dollars/hour

⇒ unit rate = 8 dollars/hour

this is the required unit rate.

Thus, the unit rate of $68 dollars for 8 1/2 hour is 8 dollars/hour.

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Answer:

{5,7,8}

Step-by-step explanation:

A-B = {2,4,6} => A={2,4,6}

B - A = {0,1,3} => B= {0,1,3}

A∪B = {0,1,2,3,4,5,6,7,8}

=> A = {2,4,5,6,7,8}

B= {0,1,3,5,7,8}

=> A∩B = {5,7,8}

Answer:

tan A = ± 1/√3 or ± 0.58

Step-by-step explanation:

2 ways to solve this question.

1. cos 2A = 1/2       2A = 60° or 300° or 420° or ....

   A = 30° or 150° or 210° ....

  tan A = tan 30° or tan 150° or ... = ± 1/√3

2. cos 2A = 2 cos²A - 1        1/2 = 2 cos²A - 1     cos²A = 3/4

   cos 2A = 1 - 2 sin²A         1/2 = 1 - 2 sin²A       sin²A = 1/4

   tan²A = sin²a/cos²A = (1/4) / (3/4) = 1/3

   tan A = ± 1/√3 or ± 0.58

Answer:

Step-by-step explanation:

A = {2,8,10,14}

B= {6,8,20}

C={8,18,20,24}

A ∩ B --> intersection means elements that  are in both sets A & B

A ∩ B = {8}

A∩ C =  {8}

B ∩ C = {8 , 20}

A∩B ∩ C = {8}

First blue box = { 2,10, 14}

Second blue box = {18, 24}

First green box = { 8}

Second green box = { 20}

b) A ∩ B = {8}

n [ A ∩ B] = 1

Probability of the number to be a member of A∩B =  1 / 25

By using a trigonometric relation, we will see that the value of x is 60.57°

On the image, we can see a right triangle where x represents one of the angles.

We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Then we can write:

tan(x) = 3.9/2.2

Using the inverse tangent function in both sides, we will get:

Atan( tan(x)) = Atan(3.9/2.2)

x = Atan(3.9/2.2) = 60.57°

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Answer:

(n-1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

V = πr²h

Isolate h by dividing both sides by πr²

\(\frac{V}{\pi r^2}\) = h → C

the work done to haul the anchor and chain to the surface of the water from a depth of 45 ft is 5850 ft-lb.

To find the work done to haul the anchor and chain to the surface of the water from a depth of 45 ft, we need to consider the work done for each part separately and then sum them up.

1. Work done to haul the anchor:
Work = Force x Distance
Force = Weight of anchor = 85 lb
Distance = Depth = 45 ft
Work (anchor) = 85 lb x 45 ft = 3825 ft-lb

2. Work done to haul the chain:
For the chain, the work done will vary depending on its length above the water as we haul it up. To find the total work, we will integrate the force (weight per unit length) over the distance (depth).

Work (chain) = Integral of (2 lb/ft × distance) from 0 to 45 ft
Work (chain) = 2 lb/ft × (1/2) × (45 ft)^2 = 2 lb/ft × (1/2) × 2025 ft^2 = 2025 ft-lb

Now, sum up the work done for both the anchor and the chain:

Total work = Work (anchor) + Work (chain) = 3825 ft-lb + 2025 ft-lb = 5850 ft-lb

So, the work done to haul the anchor and chain to the surface of the water from a depth of 45 ft is 5850 ft-lb.

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9514 1404 393

Answer:

  Item B

Step-by-step explanation:

The mass of platinum with the given volumes would be ...

  A: (2 cm³)(21 g/cm³) = 42 g . . . matches the given mass

  B: (5 cm³)(21 g/cm³) = 105 g . . . greater than the given mass, which is not platinum

  C: (7 cm³)(21 g/cm³) = 147 g . . . matches the given mass

__

Item B is too light to be platinum.

Answer:

Item B

Step-by-step explanation:

item b is too light

Answer:

y=x+6

Step-by-step explanation:

The slope is 1 and the y-intercept is 6, so we get:

y=x+6 (from the formula y=mx+b)

Answer:

Hey!

Your answer is y=x+6

Step-by-step explanation:

The gradient is x because the line goes up in 1's...

So 1 / 1 = 1

The y-intercept is 6 (that's where the line crosses the y axis...

Hope this helps!