Which equation can be used to find the measure of angle LJK?
sin(x) = (10/15)
sin(x) = (15/10)
cos(x) = (10/15)
cos(x) = (15/10)

Which quadrilateral HELP is a parallelogram? The corrsect answer is P=13, q=18

Answer:

The endpoints of the line segment lie on each other

Explanation

To understand the question, follow the practical steps below

1. Take a sheet of plane paper

2. Label the edges of the top of the paper A and B

3. Fold the paper in such a way that edge A lies on B.

You'll notice the following;

1. The top of the paper lies in itself; hence, we can say that the line segment lies on itself

2. You have a new line at the centre of the paper. The point at the top of this center line is the midpoint of the line segment

3. The edges that lie on each other translates to the endpoints lying on each other.

Number (3) above is the required observation and the right answer.

A neutral atom contains equal amount of proton and electron.

A negative ion contains extra electrons hence there is additional outer shell so it is expected that the radius is bigger than that of a neutral atom.

While a positive ion contains less electron so there is less outer shell so the radius is smaller than that of a neutral atom.

Arranging the radius in increasing order:

positive ion, neutral atom, negative ion

The reason for each step in the solution of the inequality must be mathematical operations such as;  the distributive property

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.

We have given that -2(x + 3) - 4 > 4x + 30

First, apply the distributive property

-2x - 6 - 4 > 4x + 30

Now combine like terms;

-2x - 10 > 4x + 30

Then subtraction property

-6x - 10 > 30

The addition property

-6x > 40

The division property

x < -20/3

Hence, we get the answer equal to x < -20/3.

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take 23 and multiply by 3 then divide by 2 and your answer should be x34

Answer:

B. [tex]0.4166\overline{6}[/tex], [tex]\sqrt{81}[/tex], [tex]\frac{1}{8}[/tex].

Step-by-step explanation:

We are asked to find the list that contains only rational numbers.

We know that a number is known as rational, when it can be expressed as a fraction.

Upon looking at our given choices, we can see that option B is the correct choice.

In [tex]0.4166\overline{6}[/tex], the digit 6 has a bar on it, this means that it is repeating. We know that a repeating decimal is a rational number.

[tex]\sqrt{81}=9[/tex]. We can represent 9 as a fraction: [tex]\frac{9}{1}[/tex].

[tex]\frac{1}{8}[/tex] is already written as a fraction, therefore, it is a rational number.

Answer: The answer is C, the rest of the answers are  

1:B

2:C

3:A its a graph

4:C y=2/x-3 -6

5:D19, as of 2019

Step-by-step explanation:

Answer:

The correct option is C) [tex]y=\frac{2}{x-3}-6[/tex]

Step-by-step explanation:

Consider the provided information.

Transformation:

The graph of parent function f(x) move up b unit for f(x)+b.

The graph of parent function f(x) move down b unit for f(x)-b.

The graph of parent function f(x) move left b unit for f(x+b).

The graph of parent function f(x) move right b unit for f(x-b).

Since, the graph of the parent function moves down, Therefore Option Option B and D are incorrect.

Here, we can observe that vertical asymptote shifted from x  = 0  to x = 3.

Horizontal Shift: Right  3  Units

Vertical Shift: Down  6  Units

Therefore, the correct option is C) [tex]y=\frac{2}{x-3}-6[/tex]

Answer:

Step-by-step explanation:

Given that the correlation coefficient between the number of college students in a city and the number of city buses is 0.89.

We find that correlation coefficient is a measure of linear association between two variables.

When the absolute value of correlation coefficient is near 1, there is strong correlation. If correlation has a positive sign, there is a posiitive association between the two variables.

Here the correlation coefficient is positive and also near 1.  Thus there is a strong linear correlation between the two variables.

Or whenever there is an increase in one variable there will be an increase in other variable also.

Answer: smh

Step-by-step explanation:

Final answer:

To find the total cost of the game based on Yolanda's savings of $30, which is five-sixths of the cost, multiply $30 by the reciprocal of 5/6, resulting in a total cost of $36.

Explanation:

The question asks how much a game would cost if Yolanda has already saved $30, which is five-sixths of the total cost of the game. To find the total cost of the game, we consider the amount saved ($30) as five-sixths of the total cost (which we'll call x).

So the equation to solve is 5/6 * x = $30. To find x, we divide $30 by 5/6, which is the same as multiplying $30 by the reciprocal of 5/6 (which is 6/5). Therefore, x = $30 * (6/5) = $36. Thus, the total cost of the game is $36.

The length of the rectangle is 8m and the width is 6m

This question involves the area of a rectangle and we can use the formula to solve this problem.

Data given;

The area of a rectangle is given as

[tex]A = L * W[/tex]

substitute the values and solve

[tex]A = lw\\48 = L * ( L - 2)\\48 = l^2 -2l\\l^2 -2l - 48 = 0[/tex]

solve this quadratic equation to find the length

a = 1, b = -2, c = -48

[tex]l = \frac{-b+-\sqrt{b^2 - 4ac} }{2a} \\l = \frac{-(-2)+-\sqrt{(-2)^2-4*1*(-48)} }{2*1} \\l = 8[/tex]

Taking only the positive value of l, l = 8

but we also know that

[tex]w = l -2\\w = 8 -2\\w= 6[/tex]

from the above, the length of the rectangle is 8m and the width is 6m

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Debra traveled 50 miles in 25 minutes at a rate of 2 miles per minute.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Debra travels a distance of 2 miles in 1 minute.

Which is already in unit measure, therefore to determine the distance traveled by Debra in 25 minutes we'll multiply the distance traveled in 1 minute and the total time  Debra traveled.

= (2×25) miles.

= 50 miles.

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Answer:

Step-by-step explanation:

A B D F

Given the dimensions of the Ellipse, the major axis is the east-west distance (1057 ft) and the minor axis is the north-south distance (880 ft). Taking half these lengths as 'a' and 'b' respectively, the equation of the ellipse in standard form centered at the origin is (x^2/(528.5^2)) + (y^2/(440^2)) = 1.

The given dimensions of the Ellipse represent the lengths of the major and minor axes. In an ellipse centered at the origin, the equation in standard form is given by:

(x^2/a^2) + (y^2/b^2) = 1

where 'a' is half the length of the major axis and 'b' is half the length of the minor axis. Here, since the measurement from east to west (1057 ft) is greater than the measurement from north to south (880 ft), 'a' will have a value of 1057/2 and 'b' will have a value of 880/2. Consequently, the ellipse equation would be:

(x^2/(528.5^2)) + (y^2/(440^2)) = 1

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Answer:   It would take 9.3 hours to take 510 miles.

Step-by-step explanation:  We are given to find the number of hours it would take to drive 510 miles at 55 mph.

We will be using the UNITARY method to solve the given problem.

According to the given information, we have

Number of hours taken to drive 55 miles = 1 hour.

So, number of hours taken to drive 1 mile will be

[tex]\dfrac{1}{55}~\textup{hour}.[/tex]

Therefore, the number of hours it would take to drive 510 miles is given by

[tex]\dfrac{1}{55}\times510=\dfrac{102}{11}=9.27~\textup{hour}.[/tex]

Rounding to nearest tenth of an hour, we get

9.27 hour ≈  9.3 hour.

Thus, it would take 9.3 hours to take 510 miles.

Final answer:

Exponential growth occurs when a population increases at an increasing rate, whereas exponential decay involves a decrease at a rate proportional to the current size. Logistic growth, adding the concept of carrying capacity, more accurately reflects natural populations with initial exponential increase followed by a plateau as resources become limited.

Explanation:

The key difference between exponential growth and exponential decay lies in the direction and rate at which a quantity changes over time. Exponential growth occurs when a population grows at an increasing rate as time passes, often depicted as a J-shaped curve, whereas exponential decay describes a process of decrease at a rate proportional to the current value, leading to a rapid reduction in size or quantity over time.

In the context of biology and population growth, exponential growth describes how populations can grow dramatically when there are no limits to resources or space. This type of growth can be formalized as a mathematical model where the population after n time periods has increased by a factor of 2n when the base growth rate is 2. In natural populations, this is idealized and does not usually last long as resources become depleted and other limiting factors come into play. On the other hand, exponential decay in biology might refer to the rapid loss of a population due to harsh conditions, lack of resources, or other negative impacts.

y = 8 x cos(20)

y = 7.517

y = 7.5

To solve this problem, we use the formula for binomial probability:

P = [n! / (n – r)! r!] p^r * q^(n – r)

where,

n = total number of adults = 4

r = number of adults who believe in reincarnation = 3

p = chance of believing in reincarnation = 50% = 0.50

q = 1 – p = 0.50

P = [4! / (4 – 3)! 3!] 0.50^3 * 0.50^(4 – 3)

P = 0.25 = 25%

Answer:

Answer is 0.096

Step-by-step explanation:

Here 44 adults are randomly selected.

Each adult selected is independent of the other to believe in reincarnation.

Also there are only two outcomes, probability for success in each trial = 0.50

Hence X no of adults who believe in reincarnation is binomial with n =50 and p = 0.50

[tex]a) P(X=23) = 50C23 (0.5)^{50} =0.096[/tex]

Working notes:

50C23 =108043253365600

0.5^50) = 8.8178x10^(-14)

Simplifying we get answer as 0.096