Two non-parallel lines intersect at a
A. point
B. line
C. plane
D.none of these

Answer:

x / 24

x - numerator

24 - denominator

12 / 48 simplified gives 6 / 24 just in case.

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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The solution of the given system of equations is (-3, 4).

Given two linear equations.

2x - 3y = -18

3x + y = -5

Multiplying the first equation by 3 and the second equation by 2,

6x - 9y = -54

6x + 2y = -10

Subtracting the equations,

-11y = -44

y = 4

Substituting,

x = -3

The graph of the system of equations is given below.

Hence the solution is (-3, 4).

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Answer:

3/10×100/100+45/100×10/10

300/1000+450/1000

=750/1000=75%

Answer:

2 to 5 or 2:5

Step-by-step explanation:

Answer:

If a set of points is a function, the elements of the set must have the same number of elements.

For example, if the function is from A→B, the elements must be ordered pairs.

So Y is not a function.

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

If Y is in fact  {(2, 6), (3, 1), (4, 1), (5, 6)}

then Y is a function, because each of the first coordinates appears only once.

In functional notation, we have f(2)=6, f(3)=1 etc....

remark: if a first coordinate is repeated, for example if we have (2, 6) and also (2, 8)

this would mean f(2)=6, but also f(2)=8, which means f is not a function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtract 5

Answer:

Example: Addition and subtraction are inverse operations

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

Answer:

53.375 or 427/8 or 53 3/8

Step-by-step explanation:

To solve this you must find the area of both the carpet and the tiled floor. You use the equation area = length x width

Carpet: 10.5 x 7 = 73.5

Tile: 5.75 x 3.5 = 20.125

The you subtract the area of the tiled floor from the carpet

73.5 - 20.125 = 53.375

(I prefer to work in decimals but most of the time they want fraction answers so 53.375 = 427/8 = 53 3/8

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer: Angle ABD is 39°

Step-by-step explanation:

Angle CBA is 90° (given by "box" on the corner of the right triangle)

Angle CBD is given as 51°

Subtract:

90° - 51° = 39°

Answer:

Step-by-step explanation:

The pair of corresponding angles in the image given at the end of the answer is of:

B. 1 and 5.

Corresponding angles appear when there are two parallel lines being cut by a transversal line.

The corresponding angles are the angles that are in the same position relative to the transversal and also relative to different parallel lines.

From the image given at the end of the answer, the lines are given as follows:

Then the corresponding angles are listed as follows:

Meaning that option B is correct.

The image is given at the end of the answer.

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In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:3 f + 36 = 85 I think, hope this helps

Step-by-step explanation:

The median age of the 120 people seated in the first five rows of the concert was 31.

Value is an important concept in economics and business. It is the worth of goods, services, or assets that is determined by the market or by an individual. It can be measured in terms of money, time, or effort. Value is also used to describe a person’s sense of worth or importance. Values can be seen as the principles, standards, or goals that guide an individual’s actions and decisions. Ultimately, value is subjective and is held by each person and can change over time.

The box and whisker plot provided by the sponsor shows the ages of the 120 people seated in the first five rows of the concert. The box and whisker plot shows a minimum value of 18, a maximum value of 45, a median of 31, a first quartile of 24, and a third quartile of 37. This indicates that 50% of the 120 people in the first five rows had an age of 31 or below, and 50% of the 120 people had an age of 37 or above. The median age of the 120 people seated in the first five rows of the concert was 31.

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Answer:

E

Step-by-step explanation:

The percentage of the whole week that Adam spends in sleeping is 33%.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

According to the give question.

Adams sleeps for nine hours each night, five nights a week.

⇒ Number of hours he sleep for five nights = 5 × 9 = 45 hours

Also, 11 hours for two nights a week.

So, the total number of hours Adam sleeps in a week = 45 + 11 = 56 hours

And, total number of hours in a week = 24 × 7 = 168

Therefore,

The percentage of the whole week that Adam spends in sleeping

= (total number of hours Adam sleep in a week/Total numbers of hour in a week) × 100

\(=\frac{56}{168}\) × 100

= 33.33%

= 33%

Hence, the percentage of the whole week that Adam spends in sleeping is 33%.

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The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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In a city of 2,384 people, at least 4  have the same pair of first and last initials.

Assuming that there are 26 letters in the English alphabet and that first and last initials are independent of each other, we can use the generalized version of the pigeonhole principle to find a lower bound for the number of people who have the same pair of first and last initials. Since there are 26 choices for the first initial and 26 choices for the last initial, there are a total of 26 x 26 = 676 possible pairs of initials. Therefore, we need to find the smallest integer n such that 2,384 is at least n x 676. Solving for n, we get: n = ceil(2384/676) = ceil(3.5263) = 4. Therefore, we can conclude that at least 4 people in the city of 2,384 have the same pair of first and last initials.

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Answer:

255.3 people

If you mean 11%, then:

25.3 people

Step-by-step explanation:

\(\frac{y}{230} :\frac{111}{100}\)

y × 100 = 230 × 111

100y = 25530

100y ÷ 100 = 25530 ÷ 100

y = 255.3

If you mean 11%, then:

\(\frac{y}{230} :\frac{11}{100}\)

y × 100 = 230 × 11

100y = 2530

100y ÷ 100 = 2530 ÷ 100

y = 25.3

Answer:

1/2(x+5) ^2 +2=42.5

Subtract 2 from both sides of the equation.

1/2(x+5) ^2 +2 -2=42.5-2

Subtracting 2 from itself leaves 0.

1/2(x+5) ^2 =42.5-2

Subtract 2 from 42.5.

1/2(x+5) ^2 =40.5

Multiply both sides by 2.

1/2(1/2(x+5) ^2 =(40.5)1/2

(x+5) ^2 =81

Take the square root of both sides of the equation.

x+5=9

x+5=−9

Subtract 5 from both sides of the equation.

x+5−5=9−5

x+5−5=−9−5

Subtracting 5 from itself leaves 0.

x=9−5

x=−9−5

Subtract 5 from 9.

x=4

Subtract 5 from −9.

x=−14

The equation is now solved.

x=4

x=−14

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

-16 < y

Step-by-step explanation:

4 > -y/4

start by treating it as an ordinary algebra problem, do the inverse operations to start

4 > -y/4

*4    *4

16 > -y

Now remember the rule for dividing inequality by a negative number;

always flip the inequality sign when dividing by a negative number

16 > -y

is the same as

16 > -1 * y

/-1      /-1

-16 < y

Trabajando con porcentajes, concluimos que la pérdida es de $4800.

Sabemos que la inversión inicial es de $60000, y de esta cantidad, se pierde un 8%.

Entonces la pérdida va a ser el 8% de $60000.

Podemos escribir las relaciones:

$60000 = 100%

x = 8%

Queremos resolver esto para x, tomando el cociente entre esas relaciones y resolviendo para x obtenemos:

x = $60000*(8%/100%) = $60000*0.08 = $4800

Así, concluimos que la pérdida es de $4800.

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The approximate volume of Spaceship Earth is given as follows:

D. 2,350.878.75 cubic feet.

We are given the circumference of Spaceship Earth, hence we can use it to obtain it's radius.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

At it's center, the Spaceship Earth is a circle, hence it's radius is calculated as follows, from it's circumference:

2πr = 518.1

r = 518.1/2π

r = 82.86 feet.

Now we consider that the entire Spaceship Earth has an spherical format, hence it's volume is given as follows:

V = (4/3)πr³.

Hence the volume in cubic inches is calculated as follows:

V = (4/3)π(82.86)³

V = 2,382,996.45 cubic feet.

Which is closest to option D.

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Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7

The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Step 1: Write out the equation

Step 2: Rewrite the equation

Step 3: Plot the graph of y = x² + 7x + 6

Step 4: Find the solution of the equation x² + 7x + 6 = 0

The solutions of x² + 7x + 6 = 0 are the x-coordinates of the points where the curve y = x² + 7x + 6 cuts the x-axis.

From the graph, we can see that the points are (-6, 0) and (-1, 0)

Hence, the solutions are -6, -1

Answer:

0.000299 in scientific notation

2.99 × 10-4

Step-by-step explanation:

To convert 0.000299 into scientific notation also known as standard form, follow these steps:

Move the decimal 4 times to right in the number so that the resulting number, m = 2.99, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -4

Write in the scientific notation form, m × 10n

= 2.99 × 10-4

Answer:

0.000299

2.99 × 10^-4.

Step-by-step explanation: