PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPL::::::::::::::::::PPease

The mathematical term used to describe two lines that will never meet, no matter how far they are extended is called Parallel lines.

Parallel lines are two-dimensional lines that will extend forever and do not intersect with each other. They always maintain an equal distance between the two lines. They have the same direction but their position is different. Railway tracks are the best examples of parallel lines.

Parallel lines have the same slope which means they slope in similar directions without intersecting with each other, If the two parallel lines have different slopes, then they will intersect each other. They are mainly used in study of algebra and trigonometry.

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Answer:

7. D:61

8. A:57

9. A: 47

Step-by-step explanation:

Quesiton 7:

To find perimeter we add all the sides together.

x+2x+2x+5=145

Combine all the x's.

5x+5=145

To isolate the constants, subtract 5 from both sides.

5x=140

Now divide both sides by 5 to isolate the x.

x=28

The questions asks for the length of AC, so to find that we need to insert our new x.

AC= 2(28)+5

56+5=61

Answer:

c

Step-by-step explanation:

The angles that would make triangle ABC congruent to triangle PDF by AAS are ∠ ACB and ∠ PFD i.e. ∠ ACB = ∠ PFD.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The triangle ABC and PDF are concurrent by AAS,

The AAS concurrency required two angles and one side to be equal,

Here,

AB = PD,

∠ ABC = ∠ PDF

Now one more angle is required to be equal,

∠ ACB = ∠ PFD  

Thus, the missing angle is ∠ ACB and ∠ PFD.

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Answer:

Rate of interest (R) = 6.5 % per year

Step-by-step explanation:

Given:

Amount borrow(P) = $2300

Amount (A) = $2748.50

Number of month(T) = 36 month = 3 year

Find:

Rate of interest (R)

Computation:

Simple interest (I) = Amount (A) - Amount borrow(p)

Simple interest (I) = $2748.50 - $2300

Simple interest (I) = $448.50

Simple interest (I) = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Rate of interest (R) = 6.5 % per year

The rate of interest that should be charged is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

Simple interest = Amount - Amount borrow

= $2748.50 - $2300

= $448.50

Now  

Simple interest  = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

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As per the scatter plot the association between the population of various states in the US and the number of cell phone users is strong, weak, and moderate. Thus option One is correct.

A scatter plot is a scatter graph that shows and compares the individual values and correlates them with the variables.

Here the case of cell phones in the US is shown as strong as the line is positively correlated and more than half of the people use cell phones thus it's moderate.

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Answer:

strong

positive

the same

Step-by-step explanation: read the question instead of just copying and pasting into another tab its really simple. Strong because all the dots are really close to each other, positive becasue the dots are leading up, and the same because its literally the same if you put them 2 dots on

EDMENTUM this will correct

We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.

Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)

Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C

Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17

Hence, the position of the body at time t is 9t + 17 units.

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Sure!!!

The answer is 4.25555!

Hope this helps! Have a great day! :D :)

Answer:

The answer is 4.2555555556

The value of x to the nearest tenth for the given set of triangles is 5.6 units.

A triangle is a three-sided polygon that has three angles and three vertices. It is a basic geometric shape that is often used in mathematics, science, and engineering. The sum of the angles in a triangle is always 180 degrees. This property is known as the Triangle Sum Theorem. Triangles have several important properties and formulas that are used in various mathematical applications. For example, the Pythagorean theorem relates the sides of a right triangle, and the law of cosines and law of sines can be used to relate the sides and angles of any triangle.

Here,

Using the concept of similar triangle, the ratio of sides of triangle is equal.

4.3/x=4.1/5.3

4.3*5.3/4.1=x

x=5.56 units

x≈5.6 units

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Answer:

$20-$18=$2 discount

2/20×100%=10% discount

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The two marked angles are a linear pair, so are supplementary.

  (8x -20)° +(8x +8)° = 180°

  16x -12 = 180 . . . . . . . . . . . divide by °, collect terms

  16x = 192 . . . . . . . . . . . add 12

  x = 12 . . . . . . . . . . . divide by 16

Answer:

B-12

Step-by-step explanation:

Answer:

B) 12

Step-by-step explanation:

Set x equal to zero and you get y= 12

The probability that the other side is black, given that the side facing up is white, is 1.

Let's denote the events as follows: A: The selected card has a black side facing up. B: The selected card has a white side facing up. We are interested in finding P(A|B), the probability that the other side of the card is black given that the side facing up is white.

We know that there are three possible cases when we select a card: black-black (BB), white-white (WW), and black-white (BW). Since we have selected a card with a white side facing up, we can eliminate the WW case as it is not possible. Out of the two remaining cases (BB and BW), only one has a white side facing up, which is the BW case. Therefore, the other side of the card must be black.

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Answer:

Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.

Answer:

47.97

Step-by-step explanation:

l Base length  

4

w Base width  

4

h Pyramid height  

3.46

There are 34,650 distinct ways to order the letters of "mississippi" subject to the requirement that no two S's are adjacent and no two P's are adjacent.

To find the number of ways to order the letters of the word "mississippi" while satisfying the given conditions, we can use the principle of inclusion-exclusion.

First, we consider all the ways to order the letters without any restrictions. There are 11 letters in "mississippi", so there are 11! ways to order them.

Next, we consider the cases where two S's are adjacent and the cases where two P's are adjacent. To count these cases, we can treat each pair of adjacent S's or P's as a single letter. So we have 10 letters to order in the case of adjacent S's, and 9 letters to order in the case of adjacent P's.

For the case of adjacent S's, we have 10! ways to order the letters. However, we have overcounted the cases where both pairs of S's are adjacent, so we need to subtract those out. There are 9 letters in this case (M, I, S1, S2, I, P, P, I), so there are 9! ways to order them. Therefore, the number of cases where two S's are adjacent is 10! - 9!.

Similarly, for the case of adjacent P's, we have 9! ways to order the letters. But we have overcounted the cases where both pairs of P's are adjacent, so we need to subtract those out. There are 8 letters in this case (M, I, S1, S2, I, P1, P2, I), so there are 8! ways to order them. Therefore, the number of cases where two P's are adjacent is 9! - 8!.

Now we need to add back in the cases where both pairs of S's and both pairs of P's are adjacent, because we subtracted them out twice. There are 8 letters in this case (M, I, S1, S2, P1, P2, I, I), so there are 8! ways to order them. Therefore, the number of cases where both pairs of S's and both pairs of P's are adjacent is 8!.

Finally, we subtract all these cases from the total number of ways to order the letters:

11! - (10! - 9!) - (9! - 8!) + 8! = 34,650

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The method used to select the probability sample in this scenario is (E) Simple random.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The method used to select the probability sample in this scenario is (E) Simple random.

In a simple random sampling method, each member of the population has an equal chance of being selected for the sample. In the given situation, the lottery system ensures that every student's ticket has an equal probability of being drawn, resulting in a simple random sample of 20 students for the kickball team.

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The rotation of line will result in the graph A

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the line be represented as m

Now , the line m is depicted on the graph

And , when a line is rotated in a plane, the possible results are:

A rotation of 0 degrees: The line stays in its original position.

A rotation of 180 degrees: The line rotates half way around and ends up pointing in the opposite direction.

A rotation of any angle between 0 and 180 degrees: The line rotates by that angle, either clockwise or counterclockwise, depending on the direction of the rotation.

Hence , the rotation of line is solved and is graph A

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Answer:

86

Step-by-step explanation:

Monday to Wednesday is 3 days.

\(258 \div 3 = 86\)

Answer:

D. 4

Step-by-step explanation:

Without actually solving the equation, recall that for \(a=|b|\), there are two cases:

\(\begin{cases}a=b, \\a=-b\end{cases}\)

In the given equation \(|x-2|^{10x^2-1}=|x-2|^{3x}\), there are two pairs of absolute value symbols.

Since each has two cases, there must be a total of \(2\cdot 2=\boxed{4}\) different equations created.

All four cases are:

\(\begin{cases}(x-2)^{10x^2-1}=(x-2)^{3x},\\(-x+2)^{10x^2-1}=(x-2)^{3x},\\(x-2)^{10x^2-1}=(-x+2)^{3x},\\(-x+2)^{10x^2-1}=(-x+2)^{3x}\end{cases}\)

Exponents differ, hence clearly there are four possible solutions to this equation.

You can solve for all four values of \(x\) by taking the log of both sides and using a bit of algebra to verify you have four solutions.

Answer:

B or C

Step-by-step explanation:

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

The probability that a student, chosen at random, does not study Chemistry is 0.49.

What is Probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

From the Venn diagram -

The number of students that study biology and physics = 2

The number of students that study biology and chemistry = 6

The number of students that study chemistry and physics = 4

The number of students that study only physics = 5

The number of students that study only biology = 7

The number of students that study only chemistry = 8

The number of students that study all the subjects = 3

The number of students that study none = 6

So, the total number of students a = 2 + 6 + 4 + 5 + 7 + 8 + 3 + 6 = 41

The number of students that study chemistry = 8 + 6 + 3 + 4 = 21

The number of students that do not study chemistry b = 41 - 21 = 20 students

The probability chosen at random that child does not study chemistry =  b/a -

= 20/41

= 0.49

Therefore, the probability value is 0.49.

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Answer: the answer is 10

Step-by-step explanation: used a caculator

Answer:

Value of (t) = 0

Step-by-step explanation:

According to the scenario no time has passed.

t = 0

Given:

f(t)= -16t² + 32t + 5.2

When t = 0

So.

f(t)= -16t² + 32t + 5.2

f(0)= -16(0)² + 32(0) + 5.2

f(0) = 5.2 feet

Simplifying the expression gives 0 = 6

An algebraic expression is defined as an expression made up of variables and constants, with algebraic operations like addition, subtraction, and division.

Given the expression;

1/2 (x + 4) = 1/2x + 1

\(\frac{1}{2(x + 4)} = \frac{1}{2(x+ 1)}\)

cross multiply

2(x + 1) = 2(x+ 4)

Expand the bracket

2x + 2= 2x + 8

collect like terms

2x - 2x = 8 - 2

0 = 6

Thus, simplifying the expression gives 0 = 6

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Answer:

1.)x=-2

2.)-3/4 simplified

3.)\(3x^2-a/x^3-27\)

4.)\(x^2-4y/2x^3-16y^6\)

Answer:

1. x=-2

2. -3/4 simplified

3. 3x^2 - a/ x^3 - 27

4. X^2 - 4y / 2x^3 - 16y^6

Step-by-step explanation:

3,200 + 560 + 16 √

(400 × 8) + (70 × 8) + (2 × 8) √

(400 × 8) × (70 × 8) × (2 × 8) X

3,776 √

3,200 × 560 × 16 √

(400 + 70 + 2) × 8 √

(400 × 70 × 2) × 8 X

28,672,000 X

\( \)