Real quick

what is the radius of 16 cm simplest form

Answer:

121

Step-by-step explanation:

(5-2)180

180-135-105-87-92=121

The average acceleration over the given time interval is option C -10 m/s²

By dividing the change in velocity by the change in time, the average acceleration will be determined. Therefore, let's first determine the velocity function:

x = 4t² - 3t³

v = dx / dt

v = d( 4t² - 3t³) / dt

v = 8t - 9t²

Then,

at t = 0 sec , v = 0 m/s.

at t = 2 sec , v = 8(2) - 9(2²) = 16 - 36 = -20 m/s.

Average acceleration;

The rate of change in velocity is referred to as the average acceleration. To calculate the average acceleration of anything, we divide the change in velocity by the time since the initial measurement. A crazy ball's average acceleration, for instance, would be 20 cm/s/s if its velocity rose from 0 to 60 cm/s in 3 seconds.

avg.acc = (- 20 - 0) / (2 - 0) = -20 / 2 = -10 m/s²

That is,

-10 m/s² (option c) will be the average acceleration over the given interval.

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The given question is incomplete. Completed question is here;

The coordinates of an object is given as a function of time by x=4t^2-3t^3,where x is in meter and t is in second .what is its average acceleration over the time interval from 0 to 2 seconds

Answer:

x=NEGATIVE 1/2, POSITIVE 2

Step-by-step explanation:

Just use math.waycom

The non-negative zero of the function f(x) is x = 2.

The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

here, we have,

For a given function f(x), the "zeros" of the function are the values of x such that:

f(x) = 0

In this case, we have the function:

f(x) = 6*x^2 - 9*x - 6

If we want to find the zeros of this function, we need to solve:

f(x) = 0 =  6*x^2 - 9*x - 6

To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The zeros are:

x = -b ±√b² - 4ac / 2a

In this case our equation is:

0 =  6*x^2 - 9*x - 6

then, in the above notation, we have:

a = 6

b = -9

c = -6

Replacing these in our general formula, we get:

x = 9±15 /12

Then we have two zeros:

x = (9 + 15)/12 = 24/12 = 2

x = (9 - 15)/12 = -6/12 = -1/2

But we want only the non-negative, so we can discard the second one.

Concluding, the non-negative zero of the function f(x) is x = 2.

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Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent.  So this question is a bit ambiguous.

Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees.  A tangent bigger than 1 means it will be between 45 and 90 degrees.

tan x = 2.246

x = arctan 2.246 = 66.00 degrees

Answer: 66

The correct answer is option D. We can be 95% confident that the sample proportion is captured by the confidence interval.

The margin of error of plus or minus three percentage points at a 95% confidence level means that the true proportion of people who jog regularly in the population is estimated to be between 15% and 21%. We can be 95% confident that the true proportion of people who jog regularly falls within this interval.

Therefore, option B is correct. Option A is incorrect because it implies that the margin of error always holds true for any sample size, which is not the case. Option C is incorrect because it presents a range of values for the population, not for the estimate. Option E is incorrect because it refers to the proportion of samples that would find the same sample proportion, not the range of values within which the true proportion lies.

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There are 264 red marbles in a bag.

What is Marbles?

A marble is a tiny, sphere-shaped object that is frequently fashioned of agate, glass, clay, steel, or plastic. They come in a variety of sizes, but the most have a diameter of about 13 mm (12 in). These toys can be made into works of art or utilized in a variety of marble-based activities. They can also be used in races or runs. They are frequently collected for their pleasing colors and nostalgic appeal.

Let x = Number of red marbles

y = Number of black marbles.

A bag contains 275 marbles.

So, x + y = 275             ..(1)

There are 24 red marbles for every black marble.

x = 24y       ..(2)

Plug value of x in equation (1).

24y + y = 275

25y = 275

y = 11

Put y = 11 in equation (2),

x = 24(11)

x = 264

Hence, there are 264 red marbles in the bag.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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The expression would be:

(2/3)(4 + k)

Answer:

\(\frac{2}{3}(4 + k)\)

Step-by-step explanation:

Sum of 4 and k :  4 + k

Two thirds of the sum of 4 and k :

\(\frac{2}{3}(4 + k)\)

The form factor of a standard Parallel connector is DB-25.

A Parallel connector is a type of interface commonly used for connecting devices such as printers, scanners, and external storage devices to a computer. It allows for the simultaneous transmission of multiple bits of data through separate data lines. The form factor refers to the physical shape and configuration of the connector.

Option A, DB-9, is incorrect because DB-9 connectors are commonly used for serial communication, not parallel communication. They have 9 pins arranged in two rows and are typically used for applications such as RS-232 serial ports.

Option B, DB-15, is also incorrect as DB-15 connectors are commonly used for video graphics (VGA) connections, not parallel communication. They have 15 pins arranged in three rows and are commonly found on older computer monitors.

Option D, DIN-6, is also not the correct form factor for a standard Parallel connector. DIN-6 connectors are typically used for MIDI (Musical Instrument Digital Interface) connections or other audio applications. They have 6 pins arranged in a circular configuration.

The correct option is C, DB-25. The DB-25 connector, also known as a "D-sub 25" or "D-subminiature 25," is a type of connector commonly used for parallel communication interfaces. It has 25 pins arranged in two rows, with the pins surrounded by a D-shaped metal shield. The DB-25 connector is typically used for printer ports, parallel ports, and other parallel communication applications.

Therefore, the form factor of a standard Parallel connector is DB-25.

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Answer:

The slope is 0

Step-by-step explanation:

There is no change in y values making the slope have a value of 0

Answer:

m = 0

Step-by-step explanation:

(5,0) and (6,0) would form a horizontal line.

All horizontal lines have a slope of zero.

Therefore, the slope of the line between (5,0) and (6,0) is 0.

Hope this helps.

Answer:

Natural

Step-by-step explanation:

Answer:

Plywood1: x = width ; length = 2x

1) x (2x) = 4.5

2) 2x² - 4.5 = 0

a = 2 ; b = 0 ; c = -4.5

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=

2a

−b±

b

2

−4ac

=

2(2)

0±

0−4(2)(−4.5)

=

4

±6

=

2

3

Plywood2: x = width ; length = 2x-1.4

1) x (2x-1.4) = 16

2) 2x² -1.4x -16 = 0

a = 2 ; b = -1.4 ; c = -16

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=

2a

−b±

b

2

−4ac

=

<

1.4±

1.96−4(2)(−16)

br/>2(2)=

4

1.4±11.4

=

3.2

Plywood3: x = width ; length = 5-x

1) x (5-x) = 6

2) -x² +5x -6 = 0

a = -1 ; b = 5 ; c = -6

3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=

2a

−b±

b

2

−4ac

=

2(−1)

−5±

25−4(−1)(−6)

=

−2

−5±1

\boxed{x_1=3}

x

1

=3

\boxed{x_2=2}

x

2

=2

BRAIN LESS ANSWER

Answer:

I believe it is D.

Step-by-step explanation:

Answer:

153°

Step-by-step explanation:

1. If 27° is the supplement of another angle (or vice versa), that means both angles add up to 180.

2. To find the supplement of 27°, we simply subtract that number from 180.

Therefore, the supplement of 27° is 153°.

Answer:

Step-by-step explanation:

If you look at Desmos you will see that when you put in the (x,y) coordinates in the x,y positions in your inequality that lines your plot and the shaded areas are different. If you put in each of the coordinates in the inequality you will see all the differenences between the shaded and the lines. I would do that in Desmos and you should be able to figure it out. There is an example picture below.

I hope this helps!

If you have any questions or need any help, please ask.

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Answer:

$ 7360.00

Step-by-step explanation:

100 shares   *   $ 73/share   + $60  = $ 7360

Based on the calculation below,  the total purchase price for this transaction is $7,360.

The total purchase price for this transaction can be calculated using the following formula:

Total purchase price = (Price per share * Units of shares purchased) + Commission ...................................... (1)

Substituting all the values into equation (1), we have:

Total purchase price = ($73 * 100) + $60 = $7,360

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The correct statement is that if both individuals apply a discount rate of 7%, the present value of Caroline's award is higher than the present value of Jiexin's award.

To compare the present value of the awards that Caroline and Jiexin will receive, we need to discount the future amounts using a discount rate of 7%. The present value of an amount A to be received in n years, discounted at an annual rate r, is given by:

Present value = \(A / (1 + r)^n\)

For Caroline, A = $20,000 and n = 6, so the present value is:

Present value of Caroline's award = $20,000 / \((1 + 0.07)^6\) = $14,008.32

For Jiexin, A = $20,000 and n = 9, so the present value is:

Present value of Jiexin's award = $20,000 /\((1 + 0.07)^9\) = $12,043.60

Therefore, the correct statement is that if both individuals apply a discount rate of 7%, the present value of Caroline's award is higher than the present value of Jiexin's award. Caroline's award is worth $14,008.32 in today's dollars, while Jiexin's award is worth $12,043.60 in today's dollars.

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Complete question :

Caroline is going to receive a sword of $20.000 six years from now. Jiexin is going to receive en sward of $20,000 nine years from now. Which one of the following statements is correct if both individuels apply discount rete of 7 percent? Multiple Choice

Answer:

The slope is Undefined

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

Slope = Undifine

To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

Answer:

True???

Step-by-step explanation:

Is this a true or false question?

P+12=even number

Examples...

12+12=24

16+12=28

66+12=78

Answer:

YES

Step-by-step explanation:

even + even = even

always and forever

There are 988 distinct ways to color the corners of the cube using three different colors up to a rotation of the cube.

To find the number of ways to color the corners of a cube using three different colors up to a rotation of the cube, we can use Burnside's Lemma.

Burnside's Lemma states that the number of distinct colorings is equal to the average number of colorings fixed by each symmetry of the cube.
There are 24 possible rotations of the cube.

We can classify these rotations into 4 categories:
Identity (1 rotation):

This rotation leaves the cube unchanged.

All \(3^8 = 6561\) colorings are fixed under this rotation.
90-degree rotation around an axis through the centers of two opposite faces (6 rotations):

Each of these rotations leaves only 3 colorings fixed, one for each color.

Therefore, there are 6*3 = 18 fixed colorings.

180-degree rotation around an axis through the centers of two opposite faces (3 rotations):

Each of these rotations leaves \(3^4 = 81\)colorings fixed.

So, there are 3*81 = 243 fixed colorings.
120-degree and 240-degree rotation around an axis through two opposite vertices (8+8 = 16 rotations): Each of these rotations leaves 3^2 = 9 colorings fixed.

Thus, there are 16*9 = 144 fixed colorings.
Now, applying Burnside's Lemma, we calculate the average number of fixed colorings:
(6561 + 18 + 243 + 144) / 24 = 2966/3 = 988.

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The length of the segment AE is 10 units.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

The two triangles triangle ABE and triangle CDE are similar triangles.

We know that, the ratio of segments of similar triangle are equal thus:

10 / 8 = 2x + 6 / x+ 6

10(x + 6) = 8(2x + 6)

10x + 60 = 16x + 48

60 - 48 = 16x - 10x

12 = 6x

x = 2

Substitute the value of 2 in 2x + 6:

2(2) + 6 = 10 units.

Hence, the length of the segment AE is 10 units.

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The relationship between 1.8/7.2 and 0.4/1.6 is that they represent the same fraction. Both fractions simplify to 1/4.

To determine the relationship between the fractions 1.8/7.2 and 0.4/1.6, we can simplify both fractions to their simplest form.

First, let's simplify 1.8/7.2. We can divide both the numerator and denominator by 1.8 to obtain 1/4. This means that 1.8/7.2 is equivalent to 1/4.

Next, let's simplify 0.4/1.6. We can also divide both the numerator and denominator by 0.4, which gives us 1/4.

Therefore, both fractions, 1.8/7.2 and 0.4/1.6, simplify to 1/4. This indicates that the relationship between the two fractions is that they represent the same value, or in other words, they are equal to each other.

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Answer:

4x+28

Step-by-step explanation:

Hi there! :)

The Distributive property is here to help us simplify!

Let's remember what this useful property states.

It states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

4(x+7)

4x+28

Hope it helps!

Enjoy your day!

\(\bf{-Misty ~Sparkles-\)

Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8. To find the dot product between two vectors, we multiply their corresponding components and sum the results.

To find the dot product between two vectors, we multiply their corresponding components and sum the results. Let's denote the two vectors as v and w. Given that the components of v are 1 and -5, and the components of w are -5 and 0, the dot product can be calculated as follows:
v · w = (1 * -5) + (-5 * 0) = -5 + 0 = -5
Now, let's find the angle between the two vectors. The dot product can be used to find the angle using the formula:
cos(theta) = (v · w) / (||v|| * ||w||)
Where ||v|| and ||w|| represent the magnitudes (lengths) of the vectors. In this case, both vectors have a magnitude of \(\sqrt(26)\).
Substituting the values into the formula:
cos(theta) = -5 / \((\sqrt(26) * \sqrt(26))\) = -5 / 26
To find the angle theta, we can use the inverse cosine function:
theta = acos(-5 / 26)
Evaluating the expression gives:
theta ≈ 1.810
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8.

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Answer:

4

Step-by-step explanation: because 4: 12

Let h = height of giraffe

1/3 = h/12

3h = 12

h = 12/3

h = 4 feet

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

After 22 months, there were 5,200 people still using the older version of the spreadsheet program.

The formula for this problem is given by:

N(t) = 10,000 x (1-0.2t) , where t is the number of 6-month intervals that have passed.

Therefore, after 22 months, the number of people still using the old version of the spreadsheet program is equal to:

N(22/6) = 10,000 x (1-0.2 x 3.67) = 10,000 x 0.52 = 5,200 people

1. Determine the number of 6-month intervals that have passed, which is 3.67 (22/6).

2. Calculate the reduction rate: 0.2 x 3.67 = 0.734.

3. Calculate the remaining number of users: 10,000 x (1-0.734) = 10,000 x 0.266 = 2,660.

4. Finally, the number of people still using the older version of the spreadsheet program after 22 months is 5,200.

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