Can someone correct me I don't know if I got it right

Answer:

c. non-linear and increasing

Step-by-step explanation:

When dividing the result of 2x³ + x² - 2x + 8 by x + 2, the result will be B. 2x² - 3x + 4.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. A polynomial is an expression made up of terms, exponents, constants, and variables (or indeterminate).

In this case, it should be noted that the multiplication of 2x² - 3x + 4 by x + 2 will be:

(2x² - 3x + 4) (x + 2)

2x³ + 4x² - 3x² - 6x + 4x + 8

= 2x³ + x² - 2x + 8

Therefore, the correct option is B.

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

im not a genius at math, but i will give it a shot

scenario 3:

let m= cost per minute for WDE, let b= flat fee for WDE

42.5=50m+b

65=100m+b

subtract the two equations

65-42.5=50m

m= .45 (this is the cost per minute on WDE wireless)

plug in m=.45 into the first equation

42.5=50(.45)+b

b= 20 (this is the fixed monthly fee for WDE wireless)

HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate

htr has the equation .25x+30

WDE has the equation .45x+30

set them equal to each other and solve for x .25x+30=.45x+20

x= 50 minutes

Scenario 4:

Same deal as last question, let m=cost/movie, b=flat fee

41.25=5m+b

57.5=10m+b

subtract the two equations and solve for m

57.5-41.25=10m-5m+b-b

m= 3.25 (slope)

b=25  (y intercept)

y=3.25x+25

y=3.25(125)+25  = 431.25

3.25x+25=2.75x+35

.5x= 10

x= 20

The critical value Za/2 is approximately 1.44 (rounded to two decimal places).

To find the critical value Za/2 that corresponds to a given confidence level, we need to determine the value of a/2 and consult the standard normal distribution table or use a statistical software.

For an 85% confidence level, the corresponding alpha (α) value is 1 - confidence level = 1 - 0.85 = 0.15.

Since we have a two-tailed test, we divide the alpha value by 2: a/2 = 0.15 / 2 = 0.075.

To find the critical value Za/2, we look up the area (probability) of 0.075 in the standard normal distribution table.

what is distribution?

In statistics and probability theory, a distribution refers to the mathematical function or model that describes the likelihood or probability of different outcomes or values of a random variable.

A distribution provides information about how data or observations are spread or distributed across different values. It characterizes the behavior or pattern of a set of data and allows us to understand the probabilities associated with various outcomes.

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Answer:

Step-by-step explanation:Taylor Wilson purchased 15 Maryville Sewer District bonds at a price of 103 dollars and 228 cents per bond, each with a face value of 1,000 dollars, for a total investment of 15,453 dollars.

Answer:316

Step-by-step explanation:

I just solved it by adding it

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Answer:

Step-by-step explanation:

Sorry, but Ummm the question doesn't make sense

Now that we have the surface area of the door, Stephanie can determine if she has enough paint to cover it.

To find the surface area of Stephanie's door, we need to calculate the area of each face of the door and then add them together. Let's assume that the door is rectangular.

1. Measure the length, width, and height of the door. Let's say the length is 80 inches, the width is 200 inches, and the height is 3 inches.

2. To find the area of the front and back faces of the door, multiply the length by the height. In this case, the area of each face is 80 inches * 3 inches = 240 square inches.

3. To find the area of the top and bottom faces of the door, multiply the width by the length. In this case, the area of each face is 200 inches * 80 inches = 16,000 square inches.

4. To find the area of the two side faces of the door, multiply the width by the height. In this case, the area of each face is 200 inches * 3 inches = 600 square inches.

5. Now, add up all the areas of the faces to get the total surface area of the door. In this case, 240 square inches + 240 square inches + 16,000 square inches + 16,000 square inches + 600 square inches + 600 square inches = 33,680 square inches.

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Answer:$570

Step-by-step explanation:

At beginning he had 500

He deposited =134.50+55.50=190.00

Total in account is 190+500=690

He withdrew =64.50+55.50=120.0

Total in account =690-120=$570

The possible value for the width is 10.

What is the length of a rectangle?

Since its sides are coupled, it essentially only has two distinct dimensions. The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.

Here, we have

The length of a rectangle is 5 times the width

L = 5w

120 < Perimeter = 2L + 2w

= 2(5w) + 2w

= 10w+2w = 12w

10 > w

w < 10

Hence, the possible value for the width is 10.

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The surface area of the composite figure is 217.28yd²

The volume of the composite figure is 141.12yd³

A composite figure can be defines as a shape created with two or more basic shapes.

The composite figure consist of a triangular prism and cuboid

The surface area of the cuboid =2(lh+lb+bh)

= 2 ( 4.8×2.8 + 8× 2.8 + 4.8×8)

= 2( 13.44+22.40+38.4)

= 2(74.24)

= 148.48yd²

The surface area of the prism = 2B+ph

Base area = 1/2 × 3×8 = 12

The perimeter = 3+8+5 = 16

SA = 2×12+ 16×2.8

SA = 24+44.8

SA = 68.8yd²

the surface area of the composite figure = 148.48+68.8 = 217.28yd²

The volume of the cuboid = 4.8× 2.8 × 8 = 107.52yd³

Volume of the prism = base area × height = 12×2.8 = 33.6yd³

Therefore the volume of composite figure= 107.52+33.6 = 141.12 yd³

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1. In parallelogram ABCD, the sum of ∠a and ∠b is 180 degree. So the option d "a° + b° = 180°" is correct.

2. In rectangle FGHK, FC = CH = 8. 5 cm, then the area of rectangle FGHK is 120 square cm. So the option b is correct.

3. The length of GK is 17 cm because the length of all diagonal is same in rectangle. So the option d is correct.

4. In parallelogram EFGH, the sum of ∠e and ∠f is 180 degree. So the option d "a° + b° = 180°" is correct.

1. In parallelogram ABCD, ∠a and ∠b are adjacent to each other.

So, AB║DC.

Then we get ∠a and ∠b as subsequent interior angles, both of which need to be added.

So the sum of ∠a and ∠b is 180 degree.

a° + b° = 180°

2. In rectangle FGHK, FC = CH = 8. 5 cm.

From the diagram, FG = 8 cm

FH = FC + CH

FH = 8.5 + 8.5

FH = 17 cm

Using Pythagorean Theorem to find the value of GH.

FH^2 = FG^2 + GH^2

(17)^2 = (8)^2 + GH^2

289 = 64 + GH^2

Subtract 64 on both side, we get

GH^2 = 225

Taking square root on both side, we get

GH = 15 cm

The area of rectangle = FG × GH

The area of rectangle = 8 × 15

The area of rectangle = 120 square cm

3.  In rectangle FGHK, FC = CH = 8. 5 cm.

So FH = FC + CH

FH = 8.5 + 8.5

FH = 17 cm

As, a rectangle is split into two congruent right triangles by a diagonal. The length of the rectangle's diagonals are all the same.

So GK = FH = 17 cm

4. In parallelogram EFGH, ∠e and ∠f are adjacent to each other.

So, EF║HG.

Then we get ∠e and ∠f as subsequent interior angles, both of which need to be added.

So the sum of ∠e and ∠f is 180 degree.

e° + f° = 180°

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Answer:

about 5.7

Step-by-step explanation:

4²+b²=7²

b²=49-16

b²=33

and the square root of 33 is about 5.7 ft.

The length of the unknown leg of the triangle is 5. 7 feet

The Pythagorean theorem is a mathematical theorem that is used to determine the value of the three sides of a triangle.

The theorem states that the square of the longest side of a triangle, which is called the hypotenuse leg is equal to the sum of the squared values of the two other sides of the triangle.

These sides are called the opposite and the adjacent sides.

From the information given, we have that;

Hypotenuse leg = 7 feet

Adjacent side = 4 ft

Using the Pythagorean theorem, we have that;

n² = 7² - 4²

find the squares

n² = 49 - 16

subtract the values

n² = 33

find the square root

n = √ 33

n = 5. 7 feet

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Therefore, the area of each part of the figure and the whole figure are:

Area of triangle = 11 square units

Area of rectangle = 77 square units

Area of whole figure = 88 square units

In mathematics, the area is a measurement of the size of a two-dimensional region or surface, typically expressed in square units. The formula for finding the area of a rectangle is length times width, and the units for area are typically written as squared units (such as square meters or square inches). Area is an important concept in geometry and is used in many real-world applications, such as determining the amount of paint needed to cover a wall or the amount of land required to build a house.

Here,

To find the area of the triangle, we can use the formula:

Area of triangle = 1/2 * base * height

In this case, the base of the triangle is 11 units and the height is 2 units. Therefore, the area of the triangle is:

Area of triangle = 1/2 * 11 units * 2 units = 11 square units

To find the area of the rectangle, we can use the formula:

Area of rectangle = length * breadth

In this case, the length of the rectangle is 7 units and the breadth is 11 units. Therefore, the area of the rectangle is:

Area of rectangle = 7 units * 11 units = 77 square units

To find the area of the whole figure, we need to add the areas of the triangle and the rectangle:

Area of whole figure = Area of triangle + Area of rectangle

= 11 square units + 77 square units

= 88 square units

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Given that the volume of a rectangular prism is 240 cubic inches. We need to find the value of x.Let the length of the rectangular prism be l, the width of the rectangular prism be w and the height of the rectangular prism be x.

Therefore, Volume of rectangular prism = Length × Width × HeightV = l × w × xVolume of the rectangular prism is given as 240 cubic inches.240 = l × w × xThis is the required equation that will help us to determine the value of x in terms of l and w.

Now we can rearrange the equation to get the value of x in terms of l and w as:240 / lw = xThus, the value of x = 240 / lw Hence, the value of x is 240/lw.

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Answer:

  1/20 g/mL

Step-by-step explanation:

You want the fraction form of the ratio in grams per mL of 50 g in 1000 mL.

The word "per" in this context means "divided by." That is, "grams per mL" means "grams divided by milliliters." That ratio looks like ...

  \(\dfrac{50\text{ g}}{1000\text{ mL}}=\boxed{\dfrac{1}{20}\text{ g/mL}}\)

Answer:

Step-by-step explanation:

In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?

A. -1

B. 7

C. 10

D. 14

E. 20

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Best Regards,

E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610

GMAT ==> 730

Answer:

4 + 3(n-1)

Step-by-step explanation:

Sequences start from n=1,2,3....

In this case

4 + 3(1-1)= 4

4 + 3(2-1) =7

And continue the pattern

A couple in Spain was sentenced for stealing nearly $1.7 million worth of restaurant luxury items. The couple from Spain was convicted of stealing almost $1.7 million worth of wine.

According to reports, the wine came from 12 Spanish vineyards, including Penedes, Rioja, and Ribera del Duero. Their stolen wines were primarily expensive, high-end wines that were widely sought after by collectors, like Chateau Petrus and Romanee-Conti. The couple's wine cellar, which was discovered and raided by the authorities in 2014, contained 4,000 bottles of wine worth millions of dollars. The couple was accused of selling the stolen wines to collectors in various parts of Spain, and they were eventually apprehended and brought to justice.

In Spain, the couple was sentenced to a total of 12 years in jail. They were also ordered to pay almost $1.7 million in damages to the vineyards that were robbed. It was discovered that the couple had been doing this for over 10 years before being caught, which indicates that they had accumulated a significant fortune from their heists.

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Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

1. Differentiate x with respect to t:
dx/dt = d(et)/dt = et

2. Differentiate y with respect to t:
dy/dt = d(te^(-t))/dt = e^(-t) - te^(-t) (using product rule)

Now, d(dy/dx)/dt = d((e^(-t) - te^(-t))/et) / dt
           = (e^(-t) - te^(-t) - e^(-t) + 2te^(-t)) / e^t (using quotient rule)
Now apply the chain rule:
d2y/dx2 = (d( dy/dx)/ dt) / (dx/dt) = (e^(-t) - te^(-t) - e^(-t) + 2te^(-t)) / e^(2t)
Or,  (e^(-t) - te^(-t) - e^(-t) + 2te^(-t)) / e^(2t) > 0

To simplify, we have:
(-t + 2t)e^(-t) > 0
The expression is positive when t > 0. Therefore, the curve is concave upward for t > 0. In interval notation, this is (0, ∞).

To find dy/dx, we first need to use the chain rule:
dy/dx = (dy/dt) / (dx/dt)
dy/dt = e^(-t) - te^(-t)
dx/dt = e^t

So, dy/dx = (e^(-t) - te^(-t)) / e^t

To find d2y/dx2, we need to take the derivative of dy/dx:
d2y/dx2 = [(d/dt)((e^(-t) - te^(-t)) / e^t) / (dx/dt)] / (dx/dt)
= [(e^(-t) - 2e^(-t) + t e^(-t)) / e^(2t)] / e^t
= (1 - 2e^(-t) + t) / e^(3t)

To find where the curve is concave upward, we need to look for where d2y/dx2 > 0.
(1 - 2e^(-t) + t) / e^(3t) > 0

Simplifying this inequality, we get:
t - 2e^(-t) + 1 > 0

We can graph this function or use a table of values to see where it is positive. From the graph or table, we can see that the function is positive for t in the interval (0, 2]. Therefore, the curve is concave upward for t in the interval (0, 2].

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Answer:

$8250

Step-by-step explanation:

In other words, a 15% discount for a item with original price of $55000 is equal to $8250 (Amount Saved). Note that to find the amount saved, just multiply it by the percentage and divide by 100.

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Answer:

Step-by-step explanation:

15% is equivalent to 15/100 or 0.15

So just multiply $55,000 by 0.15.

After multiplying, you should get 8250.

So 8250 is your answer

The interval [0,17] into 56 subintervals to guarantee that the Simpson's rule approximation of the integral of \(e^{x^2}\) from 0 to 17 is accurate to within 0.0001.

In calculus, Simpson's rule approximation is a numerical integration method used to estimate the value of a definite integral. It is a more accurate method than the midpoint rule and trapezoidal rule, but it requires more subdivisions to achieve the desired accuracy.

To use Simpson's rule approximation, we need to divide the interval [0,17] into an even number of subintervals, n. The width of each subinterval, h, is given by h = (17-0)/n = 17/n. Then, we can approximate the integral of \(e^{x^2}\) from 0 to 17 using the formula:

\(\int[0,17] e^{x^2} dx = (h/3)[f(0) + 4f(h) + 2f(2h) + 4f(3h) + ... + 2f((n-2)h) + 4f((n-1)h) + f(17)]\)

where f(x) = \(e^{x^2}\)

The error of this approximation is given by the formula:

|error| ≤ (b-a)h⁴/180 * max|f⁴(x)|

where b-a is the interval length (17-0 = 17 in our case), h is the width of the subintervals (17/n), and max|f⁴(x)| is the maximum absolute value of the fourth derivative of f(x) on the interval [0,17].

We want the error to be less than 0.0001, so we can set up the inequality:

(b-a)h⁴/180 * max|f⁴(x)| < 0.0001

Substituting the values we know, we get:

17 * (17/n)⁴/180 * max|f⁴(x)| < 0.0001

Simplifying this expression, we get:

max|f⁴(x)| < 0.0001 * 180 * n⁴/17⁵

max|f⁴(x)| < 0.0001 * (180/17^5) * n⁴

Now we need to find the value of n that satisfies this inequality. To do so, we need to know the maximum value of the fourth derivative of e^(x^2) on the interval [0,17]. It can be shown that this value is achieved at x = ±√(17/2), and it is approximately equal to 141.18. Therefore, we can substitute this value for max|f⁴(x)| in our inequality:

141.18 < 0.0001 * (180/17^5) * n⁴

Solving for n, we get:

n⁴ > 141.18 * 17^5/0.0001 * 180

n⁴ > 7869247058.82

n > (7869247058.82)¹/₄

n > 55.23

Since n must be an even integer, we can round up to the next even number to guarantee the desired accuracy:

n = 56

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Answer:

30+2+0.8+0.09+0.007

Step-by-step explanation:

The above is the correct answer, however if you are looking for it is exponential form here is it!

=   3 × 10^1 + 2 × 10^0 + 8 × 10^-1 + 9 × 10^-2 + 7 × 10^-3

Hi there!

~

\(30 + 2 + 0.8 + 0.09 + 0.007\)

Hope this helped you!

False. It is not best to determine a few key metrics and stick to them rigidly.

The choice of metrics should be driven by the specific objectives and context of the situation. Different goals may require different metrics to effectively measure progress and success. Relying solely on a fixed set of metrics may overlook important aspects or fail to capture the full picture.

Businesses and organizations operate in dynamic environments that evolve over time. Factors such as market conditions, customer needs, and industry trends can change, necessitating a reassessment of metrics. By being open to adjusting and refining metrics, organizations can ensure that they align with current priorities and provide valuable insights.

Moreover, a narrow focus on a limited set of metrics can lead to a skewed perspective and miss out on valuable information. Taking a broader view and considering a range of relevant metrics can provide a more comprehensive understanding of performance and help identify areas for improvement.

Therefore, it is important to regularly evaluate and adjust metrics to ensure they remain meaningful and aligned with the evolving goals and context of the situation. This flexibility allows organizations to adapt and optimize their measurement approaches for better decision-making and success.

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Suppose V is a subspace of Rn and suppose {v1,v2} is a basis of V.

i) The set {2v -5v^3, 2v^3} is a basis for V.

ii) The set {[2v^2-3,]} is a basis for V.

(i) To determine whether the set of vectors {2v -5v^3, 2v^3} is a basis for the subspace V, we need to check whether the vectors are linearly independent and span the entire subspace.

To check linear independence, we set the linear combination of the two vectors equal to zero and solve for the coefficients:

a(2v -5v^3) + b(2v^3) = 0

This gives us the system of equations:

2av + 2bv^3 = 0

-5av^3 = 0

Since V is a subspace of Rn and {v1,v2} is a basis for V, we know that v and v^3 are linearly independent. Therefore, the second equation implies that a = 0. Substituting this into the first equation, we get b = 0 as well. Thus, the set {2v -5v^3, 2v^3} is linearly independent.

To check whether the set spans V, we need to show that any vector in V can be expressed as a linear combination of {2v -5v^3, 2v^3}. Since {v1,v2} is a basis for V, any vector in V can be expressed as a linear combination of v1 and v2.

But since {v1,v2} is a basis for V, we know that v1 and v2 can be expressed as linear combinations of {2v -5v^3, 2v^3}. Therefore, any vector in V can also be expressed as a linear combination of {2v -5v^3, 2v^3}.

(ii) To determine whether the set of vectors {[2v^2-3,]} is a basis for the subspace V, we need to check whether the vectors are linearly independent and span the entire subspace.

To check linear independence, we set the linear combination of the two vectors equal to zero and solve for the coefficients:

a[2v^2-3,] = [0,0,...,0]

This gives us the equation:

a(2v^2 - 3) = 0

Since V is a subspace of Rn and {v1,v2} is a basis for V, we know that v^2 is linearly independent. Therefore, the equation implies that a = 0. Thus, {[2v^2-3,]} is linearly independent.

To check whether the set spans V, we need to show that any vector in V can be expressed as a linear combination of {[2v^2-3,]}. Since {v1,v2} is a basis for V, any vector in V can be expressed as a linear combination of v1 and v2.

But since {v1,v2} is a basis for V, we know that v1 and v2 can be expressed as linear combinations of {[2v^2-3,]}. Therefore, any vector in V can also be expressed as a linear combination of {[2v^2-3,]}.

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Answer:

6x²+30x+36

Step-by-step explanation:

6(x+2)(x+3)

6(x²+5x+6)

6x²+30x+36