evaluate the indefinite integral. (use c for the constant of integration.) (8t 5)2.7 dt

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Answer: 14

Step-by-step explanation:

\(f(x) = 3x^2 - 5x\)

\(518 = 3x^2 - 5x\)

\(0 = 3x^2 - 5x - 518\)

Use Quadratic formula with a = 3, b = -5, c = -518 to get:

x = 14, and -37/3

Since the number of rows cannot be negative, the answer must be positive. So there are 14 rows.

Answer:

42.50

Step-by-step explanation:

bill + tip = total bill

The tip is based on the bill

tip = bill * 20%

tip = bill * .20

Replace in the original equation

bill + .20 bill = total bill

Combine like terms

1.20 bill = total bill

The total bill was 51 dollars

1.20 bill = 51

Divide each side by 1.20

1.20 bill / 1.2 = 51/ 1.2

bill =42.50

Answer:

$42.50

Step-by-step explanation:

If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:

0.2x+x=51

1.2x=51

x=42.5

Therefore, the bill (w/o tip) was $42.50

p.s.Please give me brainliest. Thank you! :)

Answer:

The relationship among m∠BCD, m∠A and m∠B is:

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

According to the exterior angle theorem, m∠BCD is equal to the sum of m∠A and m∠B:

⇒ m∠A + m∠B = m∠BCD

⇒ 40° + 75° = m∠BCD

Therefore, the relationship among m∠BCD, m∠A and m∠B is:

Answer:

d=0; discriminant equals zero

this means there is one real root for the equation

Step-by-step explanation:

the discriminant is d=b^2-4ac

so we can write our equation in the format to subsitute

ax^2+bx+c=0

x^2 = 4x - 4

so...

1x^2 - 4x + 4 = 0

so

a= 1

b=-4

c=4

now subsitute

d= b^2-4ac

d= -4^2-4(1)(4)

d=16-16

d=0

The discrimant equals zero.

when the discriminant equal zero we know that there is one real root for the equation.

hope this helped!

The surface area of the scale model of the pre-image is given as follows:

12.57 cm².

The surface area of the scale model of the pre-image is obtained applying the proportions in the context of the problem.

The ratio between the side lengths of the pre-image and of the image is given as follows:

1 cm : 4 cm = 1/4.

As the side lengths are in cm and the surface area is in cm², the ratio between the surface areas is given as follows:

(1 : 4)² = 1 : 16.

The surface area of 201.06 cm² of the image is 16 times the surface area of the pre-image, which is given as follows:

16x = 201.06

x = 201.06/16

x = 12.57 cm².

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Answer:12.57

Step-by-step explanation:

The statement "Because 22×5=110, 110 divided by 5 is 22 is true.

Given that, 110÷5.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 5|110|22

             10

        _______

              10

              10

      ________

               0

Here, quotient = 22 and remainder = 0

We know that, Dividend = Divisor×Quotient+Remainder

110=5×22+0

110=22×5

Therefore, the statement "Because 22×5=110, 110 divided by 5 is 22 is true.

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Given :

Measure of angle 7 = 60°

Angle 1 and angle 7 are corresponding angles, so their values will be equal.

Which means :

Angle 1 = 60°

Thus, the measure of angle 1 = 60°

Therefore, the correct option is (A) 60

C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Answer: 4x / (x + 2)(x + 3)

The answer is 4x / (x + 2)(x + 3)

Step-by-step explanation:

Combine the fractions by finding a common denominator:

Final Solution:

4x / (x + 2)(x + 3)

Hope this helps =)

The 7 types of hazards in the home are Psychosocial  Risks,Physical

Dangers , Chemical Dangers, Biological risks, Constrained Areas,

Changing Equipment and Biohazards

Psychosocial  Risks

Physical dangers include a subgroup called psychosocial hazards. For some workers, these risks might be more severe or restrictive than for others. Poor management or a lack of feedback may be the cause of these risks.

Physical Dangers

Environmental and occupational hazards are two different categories of physical risks. These include unguarded machines, heat, cold, vibration, noise, and temperature extremes. Engineering controls can lessen some physical dangers.

Chemical Dangers

Toxic, flammable, explosive, self-reactive, oxidizing, or corrosive compounds are considered chemical dangers. Chemical risks can have negative health impacts and need special handling techniques and equipment.

Biological risks

Many workplaces have biological risks, which can be harmful to people. They include waste debris, food, fungi, food, hair, skin, and saliva.

Constrained Areas

Flammable gases can accumulate in small places. These gases tend to gravitate toward lower elevations, yet they can rise to the surface if a lid is closed or if they are hanging in the air.

Changing Equipment

For workers, the moving machinery hazard provides a distinct set of mechanical risks. Injuries caused by it include crushing, shearing, tangling, air being ejected, striking, abrading, and trapping.

Biohazards

There are many danger thresholds for biohazards. Agents of biohazard level I pose little risk to people. On the other hand, biohazard class II agents may be extremely contagious and may result in serious sickness if consumed or dispersed through the air.

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There exists a value c = 2 such that f'(c) = 0 according to Rolle's Theorem.

To find the value of C:

Let f(x) = (x^2 - 4x)e^z on [0,4].

We are asked to find c such that f'(c) = 0 according to Rolle's Theorem, or if it does not apply, enter DNE.

First, let's verify if Rolle's Theorem applies.

The conditions for Rolle's Theorem are:
1. The function is continuous on the closed interval [0, 4].
2. The function is differentiable on the open interval (0, 4).
3. f(0) = f(4).

Since f(x) = (x^2 - 4x)e^z is a product of a polynomial and an exponential function,

it is continuous and differentiable on its entire domain.

Thus, conditions 1 and 2 are satisfied.

Now, let's check condition 3:
f(0) = (0^2 - 4*0)e^z = 0
f(4) = (4^2 - 4*4)e^z = (16 - 16)e^z = 0

Since f(0) = f(4), all conditions for Rolle's Theorem are satisfied.

Now, we need to find f'(x) and set it equal to 0.

Step 1: Differentiate f(x) using the product rule, which states that (uv)' = u'v + uv'.
u = x^2 - 4x
v = e^z
u' = 2x - 4
v' = 0 (since z is a constant)
f'(x) = (2x - 4)e^z + (x^2 - 4x)*0 = (2x - 4)e^z

Step 2: Set f'(x) equal to 0 and solve for x.
(2x - 4)e^z = 0
2x - 4 = 0
2x = 4
x = 2

Thus, there exists a value c = 2 such that f'(c) = 0 according to Rolle's Theorem.

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The technique used to reduce the number of transactions between subsidiaries of a firm by paying the total amount to be transferred between subsidiaries rather than settling transactions individually is known as "netting."

Netting is a process in which the financial obligations between subsidiaries within the same firm are consolidated and settled on a net basis. Instead of making multiple individual transactions for each obligation between subsidiaries, netting allows for the aggregation of these obligations into a single payment or transfer.

This approach helps streamline the settlement process and reduces the administrative burden associated with managing numerous individual transactions.

By using netting, the firm simplifies its internal financial transactions and minimizes the need for multiple cash flows between subsidiaries. This can lead to increased efficiency, lower transaction costs, and improved cash management within the organization. Netting is commonly used in multinational corporations or conglomerates with multiple subsidiaries to optimize financial operations and facilitate better coordination between various business units.

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Answer:

if it does not overlap then you just find the possibility if one occurs.

Step-by-step explanation:

Answer:

If events A and B are non-overlapping, then to find their probability we just need to add the probability of each even occurring which will given us A or B.

The probability of a password without repeating letters is 66.4%

What are permutations?

The permutation is the selection of some or all of the objects from a set and then arranging them by paying attention to the order

If the selected object cannot be repeated, then the permutation can be calculated as:

\(nPr = \frac{n!}{(n-r)!}\)

But if the selected object can be repeated, then the permutation can be calculated as:

\(nPr = n^{r}\)

where n is the total number of objects and r is the number of objects selected. Therefore, n cannot be less than r (n ≥ r)

In the above problem, we know that the number of letters in the alphabet is 26. To find out how many 5-letter passwords are generated without repeating letters, it can be calculated using the non-repetition permutation formula:

\(nPr = \frac{n!}{(n-r)!}\)

\(= \frac{26!}{(26-5)!}\)

\(= \frac{26 . 25 .24 .23 .22 .21!}{21!}\)

= 7893600 passwords

Meanwhile, the 5-letter password generated by repeating letters can be calculated using the permutation formula:

\(nPr = n^{r} \\= 26^{5}\)

= 11881376 passwords

So the probability of a password without repeating letters can be calculated as follows = 7893600 / 11881376 x 100% = 66.4%

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The probability that fewer than 4 are independent = 0.971

Let X be a random variable representing the number of independent people out of 12 people.

Then X follows binomial distribution.

A binomial distribution considers two possibilities in 'n' trials -  success or  failure. Here the case of success is being independent and the case of failure is being either republican or democrat.

The probability distribution function of a binomial distribution is,

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ

Where n is the number of trials, p - the probability of success

Here, n = 12

Since 6% of voters are independent, probability of being an independent = 6/100 = 0.06

Probability that fewer than 4 are independent = P( X = 0 or 1 or 2 or 3)

                                                                             = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Now, P(X=0) = ¹²C₀ (0.06)⁰ (1-0.06)¹²⁻⁰

                      = 1 x 1 x 0.4759

                      = 0.4759

P(X = 1) = ¹²C₁ (0.06)¹ (1-0.06)¹²⁻¹

           = 12 x 0.06 x 0.94¹¹

           = 0.3645

P(X = 2) = ¹²C₂ (0.06)² (1-0.06)¹²⁻²

             = 66 x (0. 06)² x 0.94¹⁰

            = 0.128

P(X = 3) =  ¹²C₃ (0.06)³ (1-0.06)¹²⁻³

             = 22 x 0.000216 x 0.94⁹

             = 0.00272

Therefore, Probability that fewer than 4 are independent = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3) =  0.4759 + 0.3645 +  0.128 + 0.00272 = 0.971

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The value of the line integral is π/2. we can use Green's theorem, which relates a line integral along a closed curve to a double integral over the region enclosed by the curve.

First, we need to find the curl of the vector field F = (2622 + x sin(y))i + (xc^2 cos(y) sin(y) + xy + sin(y))j. The partial derivatives of the components of F are:

Fx = sin(y)
Fy = xc^2 cos(y) cos(y) + x + cos(y)

Taking the curl of F, we get:

curl(F) = ∂Fy/∂x - ∂Fx/∂y = c^2 cos^2(y) - sin(y)

Now, we can use Green's theorem to write:

I = ∮C F · dr = ∬R curl(F) dA

where C is the closed curve formed by going from the origin to (1,0) along the arc y = 2sin(x), and then back to the origin along the x-axis, and R is the region enclosed by C.

To find the area of R, we can integrate y from 0 to 2sin(x), and x from 0 to π, which gives:

A = ∫0^π ∫0^2sin(x) dy dx = π

Therefore, we have:

I = ∬R curl(F) dA = ∬R (c^2 cos^2(y) - sin(y)) dA = ∫0^π ∫0^2sin(x) (c^2 cos^2(y) - sin(y)) dy dx

Using trigonometric identities, we can simplify this to:

I = ∫0^π ∫0^2sin(x) (c^2 - 1/2) cos(2y) - 1/2 dy dx

Integrating with respect to y, we get:

I = ∫0^π (c^2 - 1/2) sin^2(x) dx = (3c^2 - 2)π/4

Substituting c = 1, we get:

I = π/2

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The volume of the box is 58 cm³. Therefore, the units of the answer are cm³.

Volume is the measure of the amount of 3-dimensional space occupied by an object or substance. It is usually measured in cubic units, such as cubic centimeters (cm3) or cubic meters (m3). Volume is an important concept in mathematics, physics, chemistry, and engineering, and is used to calculate the amount of material needed for a given project.

The volume of the box can be calculated by multiplying the area of the base with the height of the box. The area of the base is 58 cm² and the height of the box is x - 2 cm. Therefore, the volume of the box can be expressed as:
Volume = 58 cm² x (x - 2 cm)
     = 58 cm³
The volume of the box is 58 cm³. Therefore, the units of the answer are cm³.

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Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

To solve this equation, we need to consider two cases, one where 2x + 1 is positive and another where it is negative. We will then solve for x in each case and check our solutions to make sure they satisfy the original equation.

Case 1: 2x + 1 ≥ 0

In this case, we have:

|2x + 1| = 2x + 1

and

|3x - 11| = 3x - 11

Substituting these expressions into the original equation, we get:

2x + 1 = 3x - 11

Solving for x, we get:

x = 12

Checking our solution, we have:

|2x + 1| = |2(12) + 1| = 25

and

|3x - 11| = |3(12) - 11| = 25

Therefore, x = 12 is a valid solution to the equation.

Case 2: 2x + 1 < 0

In this case, we have:

|2x + 1| = -(2x + 1) = -2x - 1

and

|3x - 11| = -(3x - 11) = -3x + 11

Substituting these expressions into the original equation, we get:

-2x - 1 = -3x + 11

Solving for x, we get:

x = -10

Checking our solution, we have:

|2x + 1| = |2(-10) + 1| = 21

and

|3x - 11| = |3(-10) - 11| = 41

Therefore, x = -10 is not a valid solution to the equation.

Therefore, the only solution to the equation |2x + 1| = |3x - 11| is x = 12.

The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

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The total area is 1289.41 units².

The total perimeter is 281.32 units.

The first step is to determine the side lengths of the other squares:

Area of a square = length²

Perimeter of a square = 4 x length

Total area = sum of the areas of the 5 squares = 1289.41 units²

Total perimeter = 281.32 units

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Answer:

PERIMETER: 584/3, AREA: 11605/9

Step-by-step explanation:

PERIMETER: The side lengths form a geometric series with a = 27, and r = 2/3. Along the bottom we see all five lengths, and those same lengths are seen along the top. The sum of these lengths is 27+18+12+8+16/3=211/3.

We can also calculate this as the sum of the geometric series:

27 (1 - (2 / 3) ^ 5)/ 1 - (2 / 3) = 27(1 - 32 / 243)/ (1 / 3) = 81 x 211/243 = 211/3

We see these lengths twice, once along the bottom and once as horizontal segments on the top. We also add the left side of 27. The vertical segments on the right must also have a total length of 27, since they cover the same ground as the left side.

The total perimeter: 2 x 211/3 + 2 x 27 = 584/3

AREA: 27^2 + 18^2 + 12^2 + 8^2 + (16/3)^2 = 11605/9

180° rotation rule  (x, y) → (–x, –y)..

Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).

The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime

(3, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is  (x, y) → (–x, –y)  which is for 180° rotation.

Hence, the  180° rotation rule  (x, y) → (–x, –y).

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Answer:

D.8

Step-by-step explanation:

A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.

Answer:

Infintely many solutions

Step-by-step explanation:

I'm going to assume that the capital y is equal to the lowerase y

if you subtract y and two from both sides in the second equation you get

-y=2x-2

you then divide by -1 to get it into a normal form

y= -2x+2

this is the same as the first equation, these lines are the same

Answer:

i dont know

but try you will get the answer

To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.

A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.

We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.

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Answer:

-72x^4 + 34x^3 + 145x^2 - 65x - 14

Step-by-step explanation:

(-9x² + 11x +2) x (8x² + 6x -7)

= -72x^4 - 54x^3 + 63x^2 + 88x^3 + 66x^2 - 77x + 16x^2 + 12x - 14

= -72x^4 + 34x^3 + 145x^2 - 65x - 14

So, the answer is  -72x^4 + 34x^3 + 145x^2 - 65x - 14

Answer:

This is an example of direct variation. The constant of variation is 2.5 since 10/4 = 2.5