An object has two forces acting on it: the first is a force of 20 newtons upward and the second is a force of 20 newtons downward. Which of the following could describe the state of the object?

Step-by-step explanation:

First answer I hope it will help

Answer:

282.6 in³

Step-by-step explanation:

Volume = area circle * height

Area circle = πr²

Area circle = 3.14 * 9 = 28.26

28.26 * 10 = 282.6 in³

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9514 1404 393

Answer:

  (x, y) = (-244/29, -80/29)

Step-by-step explanation:

A graph (2nd attachment) shows the solution to be non-integer values, so we'll use the "cross multiply method" to find the solution.

Rewriting the equations to general form gives ....

  2x -9y -8 = 0

  5x -8y +20 = 0

Writing the coefficients in two rows of four, we have the table as in the first attachment. (The first column is repeated as the 4th column.)

Now, the cross product differences are formed. Each "orange" cross product difference is the difference of the product of "blue" coefficients and the product of "yellow" coefficients. The same formula is copied to the right.

These difference numbers go, left to right, into the form ...

  1/p1 = x/p2 = y/p3 . . . . . . where p1, p2, p3 are the cross product differences

In this problem, the solution is ...

  x = -244/29 ≈ -8.414

  y = -80/29 ≈ -2.759

Answer:

#1

Surface area is the sum of 3 rectangles and 2 triangles:

#2

Surface area is the sum of 1 square and 4 triangles:

Answer:

\(r = \dfrac{p}{2 + \pi}\)

Step-by-step explanation:

\(~~~~~p = 2r +\pi r\\\\\implies p = r(2 + \pi)\\\\\implies r = \dfrac{p}{2 + \pi}\)

The solution to the inequality 2√(x-3) < √(x+3) is x ∈ (3, 7].

What is an inequality?

In mathematics, an inequality is a statement that compares two values or expressions and states that one is greater than, less than, or not equal to the other. An inequality is typically written using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to). Inequalities are used to represent a wide range of mathematical concepts, such as the relationships between two quantities, the constraints on a system, or the conditions for a particular outcome to occur. Solving inequalities involves finding the set of values that satisfy the inequality, which may be a single value, a range of values, or no values at all.

What are the key steps to solve this inequality?

To solve the inequality, we need to isolate the variable x on one side of the inequality and then square both sides to eliminate the square roots. However, we need to be careful when squaring both sides because this may introduce extraneous solutions. To avoid this, we need to check our solutions at the end to make sure they satisfy the original inequality.

Isolate the square root term on one side of the inequality

2√(x-3) < √(x+3)

Square both sides:

4(x-3) < x+3

Simplify and rearrange the inequality to get x on one side

4x - 15 < 0

x < 15/4

Check the solution by plugging it into the original inequality

2√(15/4 - 3) < √(15/4 + 3)

2√(3/4) < √27/4

2(√3/2) < 3/2

√3 < 3/2 (This is true)

Therefore, the solution to the inequality is x ∈ (3, 7].

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Answer:

Option C

Step-by-step explanation:

See here the net seems like a equilateral triangle

Hence option C

B' represents the complement of set B, which includes all elements in U that are not in B. Therefore, B' = {0, 1, 2, 5, 6, 7}.

A - B' means all elements in set A that are not in set B'. In other words, we need to remove all the elements in set B' from set A.

A - B' = {3, 6}

Therefore, the elements in A - B' are 3 and 6.

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Answer: I don't know, sorry!

Step-by-step explanation:

a)  the probability that a randomly selected student scores between 50 and 80 is approximately 0.4332.

b)  the probability that a randomly selected student scores between 20 and 40 is approximately 0.1587.

c)  the minimum score required to get an A is approximately 80.72.

a) To find the probability that a randomly selected student scores between 50 and 80, we need to calculate the area under the normal curve between those two scores.

First, we convert the scores to z-scores using the formula:

z = (x - μ) / σ

where x is the score, μ is the mean, and σ is the standard deviation.

For the lower score (50):

z1 = (50 - 60) / 20 = -0.5

For the upper score (80):

z2 = (80 - 60) / 20 = 1

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.

P(50 ≤ x ≤ 80) = P(-0.5 ≤ z ≤ 1)

Using a standard normal distribution table or a calculator, we find:

P(-0.5 ≤ z ≤ 1) ≈ 0.4332

b) To find the probability that a randomly selected student scores between 20 and 40, we follow a similar process as in part (a).

For the lower score (20):

z1 = (20 - 60) / 20 = -2

For the upper score (40):

z2 = (40 - 60) / 20 = -1

P(20 ≤ x ≤ 40) = P(-2 ≤ z ≤ -1)

Using a standard normal distribution table or a calculator, we find:

P(-2 ≤ z ≤ -1) ≈ 0.158

c) To find the minimum score required to get an A, which corresponds to the top 15% of the students, we need to find the z-score associated with the top 15% of the distribution.

Using a standard normal distribution table or a calculator, we find the z-score that corresponds to the top 15% is approximately 1.036.

We can then solve for x (the minimum score required) using the formula:

z = (x - μ) / σ

1.036 = (x - 60) / 20

Solving for x, we get:

x - 60 = 1.036 * 20

x - 60 = 20.72

x ≈ 80.72

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Answer:

2.05m

Step-by-step explanation:

Answer:

8 18 16 27

Step-by-step explanation:

The distance between the man and the starting point will be 13.08 km.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that a man walks due west for 4km. He then changes direction and walks on a bearing of 197°.

The distance will be calculated as,

tanΘ = P/B

tan(73) = y / 4

y = 4tan73

y = 13.08 km

Therefore, the distance between the man and the starting point will be 13.08 km.

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Solution

Event 1: Probability is 8/16 = 1/2

Event 2: Probability is 1(certain to happen)

Event 3: Probability is 0(Impossible). There are no white slices in Spinner A

Event 4: Probability is 9/20

83.3% of the pieces of fruit in the bowl are apples. This means that if we were to randomly select a piece of fruit from the bowl.

To find the percentage of pieces of fruit that are apples, we need to divide the number of apples by the total number of pieces of fruit and then multiply by 100 to get the percentage.

So, the percentage of pieces of fruit that are apples is: 20/24 x 100 = 83.3%, Therefore, approximately 83.3% of the pieces of fruit in the bowl are apples.

To calculate the percentage of apples in the bowl, we first need to find the ratio of apples to the total number of fruits in the bowl. In this case, there are 20 apples out of 24 total pieces of fruit.

So, the ratio of apples to the total number of fruit is:

20/24

To convert this ratio to a percentage, we multiply by 100. 20/24 x 100 = 83.3%

Therefore, approximately 83.3% of the pieces of fruit in the bowl are apples. This means that if we were to randomly select a piece of fruit from the bowl, there is an 83.3% chance that it would be an apple.

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The measure of <YZX is 55.2 degree.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

XY= 12.4 cm, YZ= 15.1 cm

In right ΔXYZ with hypotenuse XZ and opposite side XY to ∠YZX then

Using the sine ratio

sin <YZX= 12.4/ 15.1

sin <YZX = 0.8211

<YZX= 55.2

Hence, the measure of <YZX is 55.2 degree

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Answer: 55.2

Step-by-step explanation: just took it

Answer:

i need this for a challenge

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is 83/49 because I searched it up.

Answer:

The answer is C, because you would have to essentially find the percentage of a fraction

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the equation h=6d, the independent variable is d, which represents the number of days. The dependent variable is h, which represents the height of the plant that depends on the number of days it has been growing.

Answer:

A plane in r3 is defined parametrically as the set of points is n · u * b + n · v * c = n · (P - a).

To give an implicit description of a plane in R3, we need to find a single equation that describes all the points in the plane.

Let's assume that the plane is defined parametrically as the set of points:

P(u,v) = a + u * b + v * c

where a, b, and c are vectors in R3 and u and v are parameters.

To find the implicit equation, we can start by taking the cross product of the vectors b and c, which gives us a normal vector to the plane. Let's call this vector n.

n = b x c

Next, we can take the dot product of the normal vector n with the vector (P - a), where P is any point on the plane. This will give us an equation that describes all the points in the plane:

n · (P - a) = 0

Expanding this equation, we get:

n · (u * b + v * c) = n · (P - a)

Simplifying further, we get:

n · u * b + n · v * c = n · (P - a)

This is the implicit equation of the plane in R3.

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Answer:

√63 can be written as

√ 9 × 7 = √ 9 × √7 = 3 × √ 7

= 3√7

Hope this helps you

Answer: \(3\sqrt{7}\)

Step-by-step explanation:

Separate \(\sqrt{63}\) into \(\sqrt{7}\) and \(\sqrt{9}\).  Then simplify \(\sqrt{9}\) into 3.  Thus, the simplified version of \(\sqrt{63}\) is \(3\sqrt{7}\)

Answer:

46°

Step-by-step explanation:

The alternate segment theorem states that for a circle, the angle between a chord and a tangent through the endpoint of one of the chord is equal to the angle in the alternate segment.

Therefore from the diagram attached, chord TU and the tangent UV form an angle (arc TBU). The alternate segment to arc TBU is ∠ TUV .

Therefore arc TBU = ∠ TUV. But arc TBU = 46°. Therefore:

∠ TUV = 46°

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

The top line tells you this two figure is similar.

What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.

You can find their side ratio with 38 and 15.2.

38 ÷ 15.2 = 2.5

To find x, use 55 ÷ 2.5 and you get 22 as your answer.