What statements can be supported by data from the table? Check all that apply.
The table shows a partial representation of the equations.
(2, 3.1) is an ordered pair from the table.
Plant 1 grew faster than Plant 2.
Both plants died at week 4.

Answer:

Step-by-step explanation:

(2a + b)³

(2a)³ + b³ + (3)(2a)²(b) + (3)(2a)(b)²

8a³ + b³ + 12a²b + 6ab²

Answer:

It is step by step ,you can directly copy it but you don't need to copy the formula in your answer

Step-by-step explanation:

(2a-b)

Answer:999

Step-by-step explanation:

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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The book value at the end of the third year is (A) $1,690.

The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.

The straight-line method of depreciation is used to calculate the annual depreciation of an asset.

In this case, the computer system cost $3,500 and was estimated to have a resale value of $525 after five years.

This means that the computer system will depreciate $595 each year.

To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:

Cost of Computer System: $3,500

Annual Depreciation: -$595

Book Value at End of 3rd Year= $3,500 - ($595 x 3) = $1,690

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According to the data given in the question, the book value at the end of the third year is (A) $1,690.

The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.

The straight-line method of depreciation is used to calculate the annual depreciation of an asset.

In this case,

the computer system cost= $3,500

estimated resale value after five years= $525

depreciation  of the computer system each year= $595

To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:

Cost of Computer System: $3,500

Annual Depreciation: $595

Book Value at End of 3rd Year

= $3,500 - ($595 x 3)

= $1,690

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The value of x in the chord is 4.8 units

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

The circle

Next, we calculate the radius using each chord using the Pythagoras theorem

Using the above as a guide, we have the following:

r² = x² + (37/2)²

r² = 13² + (28/2)²

By substitution, we have

x² + (37/2)² = 13² + (28/2)²

So, we have

x² = -(37/2)² + 13² + (28/2)²

Evaluate

x² = 22.75

Take the square root

x = 4.8

Hence, the value of x is 4.8 units

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Let `z = (-a + bi)` be a complex number where `a > 0` and `b > 0`.To determine arg(z), we have;$$\theta = \tan^{-1}\frac{b}{-a}$$Therefore,

$$\theta = -\tan^{-1}\frac{b}{a}$$Since both `a` and `b` are positive, $\theta$ lies in the fourth quadrant.Thus, $\theta = -\tan^{-1}\frac{b}{a} = -\tan^{-1}\frac{1}{3} = -\frac{\pi}{3}$.Therefore, $\arg z = \theta = \boxed{-\frac{\pi}{3}}$.Cube roots of `32 + 32√3i`:Let `z = 32 + 32√3i` be a complex number.To find the cube roots of `z`, we have;$$z^{\frac{1}{3}} = \sqrt[3]{r}\left(\cos\frac{\theta + 2n\pi}{3} + i\sin\frac{\theta + 2n\pi}{3}\right)$$where `r` is the magnitude of `z` and `n` is an integer.Let's calculate `r` and `θ`.We have;$$r = |z| = \sqrt{32^2 + (32\sqrt{3})^2} = 64$$and$$\tan\theta = \frac{32\sqrt{3}}{32} = \sqrt{3} \implies \theta = \frac{\pi}{3}$$Thus, we have;$$z^{\frac{1}{3}} = 4\left[\cos\left(\frac{\frac{\pi}{3} + 2n\pi}{3}\right) + i\sin\left(\frac{\frac{\pi}{3} + 2n\pi}{3}\right)\right]$$$$\implies z^{\frac{1}{3}} = 4\left[\cos\frac{\pi}{9} + i\sin\frac{\pi}{9}, \cos\frac{7\pi}{9} + i\sin\frac{7\pi}{9}, \cos\frac{13\pi}{9} + i\sin\frac{13\pi}{9}\right]$$Sketch in the complex plane:In the Argand diagram below, the points represent the three cube roots of `z`. The first cube root is plotted in green, the second in purple, and the third in blue.

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The Argument = atan(32√3 / 32) = π/3 The cube roots of 32+32√3i will have a magnitude of cube root of 64, which is 4. Also, their arguments will be π/9, 7π/9 and 13π/9.

Given that z = (-a + √3i) where a is a positive real number.

We have to determine the arg(z).Arg(z) refers to the angle that z makes with the positive real axis in the complex plane.

We know that tan(arg(z)) = (imaginary part of z) / (real part of z)Here, the real part of z is -a and the imaginary part of z is √3i.

So,tan(arg(z)) = √3i / (-a)arg(z) = atan(√3i / -a)Now, we need to find the cube roots of 32+32√3i and sketch them in the complex plane.

Let's find the magnitude and argument of 32+32√3i.

Magnitude = √(32² + (32√3)²) = 64

Argument = atan(32√3 / 32) = π/3

The cube roots of 32+32√3i will have a magnitude of cube root of 64, which is 4. Also, their arguments will be π/9, 7π/9 and 13π/9.

To sketch these roots in the complex plane, we draw a circle of radius 4 centered at the origin and then mark the points that are at angles π/9, 7π/9 and 13π/9 from the positive real axis.

The sketch will look like this:

Thus, the cube roots of 32+32√3i have been determined and sketched in the complex plane.

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The minimum sample size for the given event to have a normal approximation has to be 13 people.

For normal approximation,

np or n(1-p) should be greater than 10

where,

n = the sample size

p = probability for the occurrence of the event

Here, 20% of ohio residents support the legalization of marijuana

p = 20% or, 2/10

Hence,

1 - p = 1 - 2/10

= 8/10

Therefore, for normal approximation to be used

either n X 2/10 > 10    or,      n X 8/10 > 10

Therefore,

n X 2 > 10 X 10            or,      n X 8 > 10 X 10

hence,

n > 100/2                      or,               n > 100/8

n >  50                          or,               n > 12.5

Since we need to find the minimum no. of sample size to be required we will consider

n > 12.5

The sample size has to be a whole number hence,

n = 13

Therefore, the minimum sample size for the given event to have a normal approximation has to be 13 people.

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Answer:

125 inches^3

Step-by-step explanation:

To solve for cubes it is L^3 or Length Cubed. Whcih is simply L×L×L where L is Length.

-13+4x

Step-by-step explanation:

Determine the opposite number of -4x +13 :

⬇️

-13 + 4x

Answer:

8= coefficients.

4ab=constant term

5b=number of terms

Step-by-step explanation:

when terms are being added and substrated in algebra expression, we can sometimes simplify the expression to produce an expression with fewer terms

LET ME KNOW IF IT HELPS

Answer:

(3,13 ) & (-1,5)

Step-by-step explanation:

a. 2x + 7 = x^2 + 4

b. move all terms to the left side and set equal to zero. then set each factor equal to zero. which gives you the x values 3, -1

c. substitute x with the x values to get y.  2(3) + 7 = -1^2 + 4

d. the solution is (3,13 ) & (-1,5)

The critical value is 2.131, So, the answer is C

To find the critical value (t_c) for a 95% confidence interval with a sample size (n) of 16, you will need to use the t-distribution table or an online calculator.

The t-distribution is used when the population standard deviation is unknown and the sample size is small.

To find t_c for a 95% confidence interval, you need to consider the degrees of freedom, which is calculated by subtracting 1 from the sample size (n-1). In this case, the degrees of freedom is 16 - 1 = 15.

Next, you will look for the t-value corresponding to a 95% confidence interval and 15 degrees of freedom in the t-distribution table or use an online calculator.

You will find that the critical value t_c is approximately 2.131.

Therefore, the correct answer is C. 2.131. This value indicates that, for a sample size of 16 and a 95% confidence level, the interval estimate of the population mean will be within 2.131 standard errors of the sample mean.

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Answer:

N/A

Step-by-step explanation:

You have not given us enough information to answer the question correctly. Please repost the question correctly this time.

BRAINLIEST PLEASE

Answer:

$3,955

Step-by-step explanation:

Given that:

Initial deposit = $3500

Simple rate of interest = $3.25%

Number of years = 4

Simple interest = (principal * rate * time)

Principal = Initial deposit = $3500

Interest = $3500 * 3.25% * 4

Simple Interest = $455

Amount that will be in account after 4 years :

$3500 + $455 =$3955

Answer:

x=(2,-5.3)

Step-by-step explanation:

Hope this helps

The given operational problem relates to production or manufacturing, with decision variables representing the quantities of the two products to be produced and an objective function representing the specific goal to be achieved (such as maximizing profit or minimizing costs).

Based on the information provided, it appears that the given scenario relates to a production or manufacturing problem. The problem involves the production of two different products, Product 1 and Product 2, and requires specific quantities of different resources or components.

Decision Variables:

The decision variables in this operational problem could include the quantities or amounts of each product to be produced. For example, let's denote the quantity of Product 1 as x and the quantity of Product 2 as y.

Objective Function:

The objective function represents the goal or objective of the problem. In this case, the objective could be to maximize or minimize a certain aspect, such as profit, production efficiency, or resource utilization. The specific objective function would depend on the specific goal of the problem. For example, if the objective is to maximize profit, the objective function could be expressed as a linear combination of the quantities produced and the associated costs and revenues.

Since the specific objective function is not provided in the question, it is not possible to determine it accurately. However, it could involve maximizing profit, minimizing production costs, or maximizing resource utilization efficiency, among other possibilities.

In summary, the given operational problem relates to production or manufacturing, with decision variables representing the quantities of the two products to be produced and an objective function representing the specific goal to be achieved (such as maximizing profit or minimizing costs).

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The slope and intercept form is the form of the straight line equation that includes the value of the slope of the line

Reason:

The slope and intercept form is the form y = m·x + c

Where;

m = The slope

Two equations are parallel if their slopes are equal

Two equations are perpendicular if the relationship between their slopes, m₁, and m₂ are; \(m_1 = -\dfrac{1}{m_2}\)

1. The given equations are in the slope and intercept form

\(\ y = 3 \cdot x + 1\)

The slope, m₁ = 3

\(y = \dfrac{1}{3} \cdot x + 1\)

The slope, m₂ = \(\dfrac{1}{3}\)

Therefore, the equations are neither parallel or perpendicular

2. y = 5·x - 3

10·x - 2·y = 7

The second equation can be rewritten in the slope and intercept form as follows;

\(y = 5 \cdot x -\dfrac{7}{2}\)

Therefore, the two equations are parallel

3. The given equations are;

-2·x - 4·y = -8

-2·x + 4·y = -8

The given equations in slope and intercept form are;

\(y = 2 -\dfrac{1}{2} \cdot x\)

Slope, m₁ = \(-\dfrac{1}{2}\)

\(y = \dfrac{1}{2} \cdot x - 2\)

Slope, m₂ = \(\dfrac{1}{2}\)

The slopes

Therefore, m₁ ≠ m₂

\(m_1 \neq -\dfrac{1}{m_2}\)

The lines are Neither parallel nor perpendicular

4. The given equations are;

2·y - x = 2

\(y = \dfrac{1}{2} \cdot x +1\)

m₁ = \(\dfrac{1}{2}\)

y = -2·x + 4

m₂ = -2

Therefore;

\(m_1 \neq -\dfrac{1}{m_2}\)

Therefore, the lines are perpendicular

5. The given equations are;

4·y = 3·x + 12

-3·x + 4·y = 2

Which gives;

First equation, \(y = \dfrac{3}{4} \cdot x + 3\)

Second equation, \(y = \dfrac{3}{4} \cdot x + \dfrac{1}{2}\)

Therefore, m₁ = m₂, the lines are parallel

6. The given equations are;

8·x - 4·y = 16

Which gives; y = 2·x - 4

5·y - 10 = 3, therefore, y = \(\dfrac{13}{5}\)

Therefore, the two equations are neither parallel nor perpendicular

7. The equations are;

2·x + 6·y = -3

Which gives \(y = -\dfrac{1}{3} \cdot x - \dfrac{1}{2}\)

12·y = 4·x + 20

Which gives

\(y = \dfrac{1}{3} \cdot x + \dfrac{5}{3}\)

m₁ ≠ m₂

\(m_1 \neq -\dfrac{1}{m_2}\)

8. 2·x - 5·y = -3

Which gives; \(y = \dfrac{2}{5} \cdot x +\dfrac{3}{5}\)

5·x + 27 = 6

\(x = -\dfrac{21}{5}\)

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It shows that Jade can read 4 pages in 3 minutes, which means she reads approximately 1.33 pages per minute.

A graph is a visual representation of data or mathematical functions. It consists of a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used in a wide range of fields, including mathematics, science, engineering, social sciences, and computer science, to represent and analyze data and relationships between variables. There are several types of graphs, including bar graphs, line graphs, scatter plots, pie charts, and network graphs, each of which is useful for different types of data and analyses.

In the given example, we have a graph that shows the relationship between the number of pages read and the time taken to read those pages. Specifically, it shows that Jade can read 4 pages in 3 minutes, which means she reads approximately 1.33 pages per minute.

If we change the scenario and assume that Jade reads 5 pages every 3 minutes, then the graph would change accordingly. The slope of the line on the graph would change, reflecting the new rate at which Jade is reading. Instead of the slope being approximately 0.44 (which is the slope when reading 4 pages in 3 minutes), the new slope would be approximately 0.56 (which is the slope when reading 5 pages in 3 minutes).

Visually, this means that the line on the graph would become steeper, as Jade is reading more pages per unit of time. The new line would intersect the y-axis at the same point as the previous line (since Jade still starts at page 0), but it would reach higher values on the x-axis in the same amount of time compared to the previous scenario.

Therefore, it shows that Jade can read 4 pages in 3 minutes, which means she reads approximately 1.33 pages per minute.

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Answer:

You have 12.25 minutes left to workout.

Step-by-step explanation:

Given:

The cylinder with radius 17 ft. and height 17ft.

Required:

What is the surface are of cylinder?

Explanation:

The formula to calculate surface area of cylinder:iven:

We have radius(r) = 17 ft. and height(h) = 17 ft.

Answer:

Second option is correct.

Th

Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

The equation 5x = x + 3 has 1 solution.

The solution to the equation 5x = x + 3 is x = 3.

Answer:

Step-by-step explanation:

y-intercept = 2, 3, 5, or 7

2+3+5+7 = 17

The expression √180 * 2√30 is equivalent to the expression 60√6

An equation is an expression that shows the relationship between two numbers and variables.

The square root is a factor of a number that, when multiplied by itself, gives the original number.

Given the expression √180 * 2√30

Collecting like terms give:

= 2√(180 * 30)

Simplifying:

= 60√6

The expression √180 * 2√30 is equivalent to the expression 60√6

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Explanation:

For any triangle, the three angles always add to 180 degrees.

In an isosceles triangle, the base angles are the same measure. For now we don't know what they are, so let's call them x. The vertex angle is 36.

Adding the three angles (x,x, and 36) and setting that equal to 180 will help us find the value of x.

x+x+36 = 180

2x+36 = 180

2x+36-36 = 180-36 .... subtract 36 from both sides

2x = 144

2x/2 = 144/2 .... divide both sides by 2

x = 72

This triangle has two base angles of 72 each and the vertex angle of 36. As a check, the three angles should add up to 180

72+72+36 = 144+36 = 180

So the answer is confirmed.

Answer: Both of the other angles equal 72 degrees individually.

Step-by-step explanation:

The measure of each of the other angles could be 72 degrees because isosceles triangles have two sides that have the same equivalence. Since a line has 180 degrees and its vertex angle measures 36 degrees, then the remaining angles have to be found by subtracting 180 with 36 in order to get 144. 144 divided by 2 because of the two angles then makes both sides equal to 72 degrees individually.

Answer:

the number is 9

Step-by-step explanation:

x+6=13

x=13-6

=9

Answer:

x = 7

Step-by-step explanation:

x + 6 = 13

x + 6 - 6 = 13 - 6

x = 7

This answer is Nonlinear

Answer:

1499

5

(Decimal: 299.8)

Step-by-step explanation: =

300

1

−

20

100

=

300

1

+

−20

100

=

300

1

+

−1

5

=

1500

5

+

−1

5

=

1500+−1

5

Answer:

3

Step-by-step explanation:

8 people

3 slices per person

8 × 3 = 24

They need 24 slices.

1 pizza has 10 slices.

24/10 = 2.4

They need 2.4 pizzas. Since they need to order a whole number of pizzas, they need to order 3 pizzas.

Answer: 3