A line with slope 2/3 that passes through the point (6,6)

Answer:

\(d = 33\)

Step-by-step explanation:

Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d = \sqrt{(13-13)^2+(-14-19)^2}\)

\(d = \sqrt{(0)^2+(-33)^2}\)

\(d = \sqrt{(-33)^2}\)

\(d = 33\)

Answer:

the distance between the two points is 33 units.

Step-by-step explanation:

because the two points have the same x value, we only need to consider the y values.

find the difference to solve for the distance.

\(19-(-14)\\19+14\\33\)

the answer is 33 units.

hope this helps :)

Answer:

m<B = 93°

Step-by-step explanation:

Based on the inscribed quadrilateral theorem, the opposite angles of a cyclic quadrilateral are supplementary.

Thus:

m<B + m<D = 180°

Substitute

m<B + 87° = 180°

m<B = 180° - 87°

m<B = 93°

Answer:

single-channel, multi -phase

Step-by-step explanation:

The concept known as '' Queuing'' is not only important in the mathematical aspect alone but it is also useful in economic matters as signifies the abundance of resources that is when we have queues it means the reason for it is that the available resources is not enough.

From the question above we have that there are 3 individual car wash stalls, it is also given that the customers wait in a single line before choosing the next available stall. This means that there is only a single-channel.

Then, we have that from the single line initially, the queues then moves to multi -phase that is to  3 individual car wash stalls.

If y varies jointly as x and z, making the equation and solving, the value of y when x = 1 and z = 5 is 20.

Here, given in the question that,

y varies jointly as x and z.

This means that y is directly proportional to both x and z.

So y is directly proportional to xz.

So the equation can be written as,

y = kxz, for some constant k.

Also, we have, y = 24 when x = 2 and z = 3.

Substituting the given values of x, y and z, we will get the value of k.

24 = 6k

k = 24 / 6 = 4

So, the equation is,

y = 4xz

So, when x = 1 and z = 5,

y = 4 × 1 × 5 = 20

Hence the correct option is b.

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At least means equal to that number or greater than that number

So the answer is

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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Answer:

1. not equal

2. equal

3. equal

4. equal

5. not equal

Answer: 7.9

Step-by-step explanation:

\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

Answer:

12.1%

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Given that ∆BCD ~ ∆BFG, therefore the ratio of their corresponding side lengths will be equal.

Thus:

\( \frac{BC}{BF} = \frac{BD}{BG} \)

Substitute

\( \frac{17x + 13}{36} = \frac{154}{42} \)

Cross multiply

\( 42(17x + 13) = 154(36) \)

\( 714x + 546 = 5,544 \)

\( 714x = 5,544 - 546 \) (subtraction property of equality)

\( 714x = 4,998 \)

Divide both sides by 714

x = 7

The six represents the slope

The four represents the intercept

454 tiles

The tile pattern is represented by the equation:

y = 6x + 4.......................(1)

The equation takes is a linear equation of the form:

y = mx + c..........................(2)

where m is the slope

and c is the intercept

Comparing the two equations:

m = 6

c = 4

The six represents the slope

The four represents the intercept

In the 75th figure, x = 75

Substitute x = 75 into the equation (1)

y = 6(75) + 4

y = 454

There will be 454 tiles

Answer:

1. The first one

and

2. the last one

Step-by-step explanation:

The first one because,

-9(2/3x)=-6, and thats the same in the question. As well as the -9x1

The last one because,

-9(2/3x+1)=

-6x - 9

because, negative 9 times positive 1 will be negative 9.

so it will be:

-6x - 9

I hope this helped     :)

The amplitude and the period of the function f(x) = 2cos[3(θ + 45)] + 2 are 2 and 2π/3

The Phase shift is 45 and the vertical shift is 2

From the question, we have the following parameters that can be used in our computation:

f(x) = 2cos[3(θ + 45)] + 2

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

Amplitude = A

Period = 2π/B

Phase shift = C

vertical shift = D

Using the above as a guide, we have the following:

Amplitude = 2

Period = 2π/2

Next, we have

Phase shift = 45

vertical shift = 2

Hence, the amplitude is 2 and the period is 2π/3

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Answer:

What are you supposed to do?

Step-by-step explanation:

Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

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Answer:

5+5+9+9 = 28 cm

Step-by-step explanation:

to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)

Answer:

234

Step-by-step explanation:

the answer 234

Answer:

B. 300 dollars is 5he answers

Answer:

$35

Step-by-step explanation:

All you have to do is subtract 10 from 45 because it was $10 off and the original price was $45.

Answer:

-0.3d-2.2

Step-by-step explanation:

2.8d-6+3.8-3.1d

Combine like terms

2.8d-3.1d   -6+3.8

-0.3d-2.2

Answer:

0.325

Step-by-step explanation:

Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport

Given

Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325

Step-by-step explanation:

these are the functions

and the others are not a functions because the domain can't match to more than one

The relationship, (January, 30), (February, 28), and (March, 25) is a function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know, A relation from a set A to a set B is a function if no two distinct ordered pairs have the same x-coordinate value.

Or a relation is a function if each input has a different output.

From the given options, Option (I) is a function as the ordered pairs are,

(January, 30), (February, 28) and (March, 25).

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer: what are the thing's you can choose

\Step-by-step explanation:

the formula of the distance is

where (x1,y1) and (x2,y2) are the points

so replacing

the distance is 17 units

Answer:

Step-by-step explanation:

(1 - 9)/(7 - 9)= -8/-2 = 4 is the slope

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer:

Natural

Step-by-step explanation:

Ln in mathematics mean natural log. Natural log is the log of a number with base e where e=2.71828. For understanding if the number is 2.71828^10 then the ln of 2.71828^10 is 10.

Answer:

h = 16  ||    solution after squaring: \(x = -0.683\) or \(x = -7.32\)

steps by fieranswererft:

Given: \(x^2+8x+5=0\)

Take half of the x term and square it

Answer:

Step-by-step explanation: