I need help with this practice problem from my trig prep guide ❗️It asks to answer (a) & (b)Put these separately so I know which is which

d + (-7)

i don't know if this is what you mean

Answer:

Step-by-step explanation: The P-intercept of the equation P = 28 + 2.54w is 28. This means that when the number of units of water used is 0 (w = 0), the amount of Randy's monthly water bill payment is 28 dollars. This is the minimum payment that Randy must make for the water usage, regardless of the actual usage.

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

yes it does represent a function.  

Step-by-step explanation:

Answer:

A because i can boy or girl im just tired

Answer:

469

Step-by-step explanation:

Substitute -5 and -3 into the equation:

-7(8 (-5) + 9 (-3)

-7(-40 - 27)

-7(-67)

+469

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

To know more about Originality.

https://brainly.com/question/31916017

#SPJ11

(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula

P(X=x|B) = P(X=x and B)/P(B).

Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:

P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.

Therefore, the conditional PMF P X∣B (x) is given by:

P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13

(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.

(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.

(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:

P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...

(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.

(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.

https://brainly.com/question/30144287

#SPJ1

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

447

Step-by-step explanation:

Answer:

h = \(\frac{1}{5} x-\frac{8}{5}\)

Step-by-step explanation:

x = 5h + 8

5h = x - 8

h = \(\frac{1}{5} x-\frac{8}{5}\)

Answer:

Sides:

Angles:

Step-by-step explanation:

Apply the law of sines to find the sine of \(\angle A\):

\(\displaystyle \frac{\sin{A}}{\sin{C}} = \frac{a}{c}\).

\(\displaystyle\sin A = \frac{a}{c} \cdot \sin{C} = \frac{103}{159} \times \left(\sin{104^{\circ}}\right) \approx 0.628556\).

Therefore:

\(\angle A = \displaystyle\arcsin (\sin A) \approx \arcsin(0.628556) \approx 38.9^\circ\).

The three internal angles of a triangle should add up to \(180^\circ\). In other words:

\(\angle A + \angle B + \angle C = 180^\circ\).

The measures of both \(\angle A\) and \(\angle C\) are now available. Therefore:

\(\angle B = 180^\circ - \angle A - \angle C \approx 37.1^\circ\).

Apply the law of sines (again) to find the length of side \(b\):

\(\displaystyle\frac{b}{c} = \frac{\sin \angle B}{\sin \angle C}\).

\(\displaystyle b = c \cdot \left(\frac{\sin \angle B}{\sin \angle C}\right) \approx 159\times \frac{\sin \left(37.1^\circ\right)}{\sin\left(104^\circ\right)} \approx 98.8\).

Answer:

125

Step-by-step explanation:

500/4=125

The statements that are true are:

Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.

Clayton could negate both the x and y values in the points to find the points of the image.

C’ will move because all points move in a reflection.

The image and the pre-image will be congruent triangles.

The image and pre-image will not have the same orientation because reflections flip figures.

Options A, B, D, E, and F.

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Clayton could use the relationship (x, y) → (y, x) to find the points of the image.

This is the y = x reflection rule.

This is true.

Clayton could negate both the x and y values in the points to find the points of the image.

Reflection of (x, y) along the x-axis and y-axis consecutively will give us

(-x, -y).

This is true.

C’ will remain in the same location as C because it is on the line of reflection.

This is not true.

C’ will move because all points move in a reflection.

This is true.

The image and the pre-image will be congruent triangles.

This is true.

The image and pre-image will not have the same orientation because reflections flip figures.

This is true.

Thus,

All statements are true except the statement:

C’ will remain in the same location as C because it is on the line of reflection.

Learn more about reflections here:

https://brainly.com/question/12463306

#SPJ1

The missing number so that the equation has no solutions is -5

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The linear equation is given as

-2x - 13 = 3x - 17 + ___x

Let the blank be represented with y

So, we have

-2x - 13 = 3x - 17 + yx

Next, we compare the expressions with coefficient x

So, we have

-2x = 3x + yx

Evaluate the like terms

-5x = yx

Divide

y = -5

Substitute y = -5 in -2x - 13 = 3x - 17 + ___x

-2x - 13 = 3x - 17 -5x

Hence, the missing number so that the equation has no solutions is -5

Read more about equations at

https://brainly.com/question/2972832

#SPJ1

Answer:

64 is a composite number, and it is 8 squared. 64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64. Prime factorization: 64 = 2 x 2 x 2 x 2 x 2 x 2, which can also be written 64 = 2⁶.

Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

Answer:

y=x

Step-by-step explanation:

The equation of the line is line DB

From y=mx + c

From the graph y = 0 when x =0

This means y=x;

The graph cuts through the origin.

Meaning the y -intercept C=0

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

The Two sets, A and B, are said to be disjoint sets if A n B=ϕ

To learn more about two sets to be disjoint, refer to:

https://brainly.com/question/13100777

#SPJ9

N=8

1/2 x (8+4) = 6

1/2 x 12 = 6

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Regression equation for 2 independent variables :

y=40.7+8.63x1+2.71x2 (model 1)

Regression model for only x1 variable :

y=42.0+9.01x1 (model 2)

The Coefficient of x1 = 8.63 is the change in the estimated predicted value of the dependent variable due to a unit increase in the independent variable (x1) when the other independent variable (x2) is held constant

For Model 2:

The Coefficient of x1 = 9.01 is the change in the estimated predicted value of the dependent variable due to a unit increase in the independent variable (x1)

2.)

Yes, for model 1, we have a multiple regression model (more than 1 independent variable). Multicolinearlity sets in when the independent variables in a multiple regression model are highly correlated. Hence, the Coefficient of each independent variable varies highly when modeled separately compared to when used together to generate a single model. Hence.The reason for the difference.

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

Decimal numbers are numbers that includes the dot in between. Given the percentage value expressed as:
0.3%

This can be expressed as;

0.3% = 0.3/100

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

learn more on decimal number here: https://brainly.com/question/703656

#SPJ1

Answer:

c

Step-by-step explanation:

I did this last year

The equations to solve the length of the room is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

c) ( y + 25 ) ( y - 30 ) = 0

Given data ,

Let the area of a rectangular room is 750 square feet.

Let the width of the room is 5 feet less than the length of the room

So , on simplifying , we get

w = l - 5

Area of rectangle = length x width

And , A = l x w

A = l ( l - 5 )

750 = y ( y - 5 )

Therefore , the equation is

a) y² - 5y = 750

b) 750 - y ( y - 5 ) = 0

On simplifying the quadratic equation , we get

c) ( y + 25 ) ( y - 30 ) = 0

Hence , the length of the rectangular room is solved

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ1

The complete question is attached below :

Which equations can be used to solve for y, the length of the room? Select three options.

a) y(y + 5) = 750

b) y² – 5y = 750

c) 750 – y(y – 5) = 0

d) y(y – 5) + 750 = 0

e) (y + 25)(y – 30) = 0

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The categories and their  Percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

To represent the distribution of house types in a town containing 25,000 houses on a circle graph, we need to determine the percentage of each category.

The given data provides the following frequencies for each house style:

Cape: 6,250 houses

Garrison: 10,000 houses

Split: 8,750 houses

To calculate the percentage for each category, we divide the frequency of each house style by the total number of houses in the town (25,000) and multiply by 100.

Percentage for Cape: (6,250 / 25,000) * 100 = 25%

Percentage for Garrison: (10,000 / 25,000) * 100 = 40%

Percentage for Split: (8,750 / 25,000) * 100 = 35%

Therefore, the categories and their respective percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

These percentages represent the proportion of each house style in the town and can be visually represented on a circle graph to provide a clear visualization of the distribution of house types.

To know more about Percentages.

https://brainly.com/question/24877689

#SPJ11

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

To know more about orange in the fruit bowl here

https://brainly.com/question/25727207

#SPJ1

Answer:

Step-by-step explanation:

ascxne rdsjazs bcbnnnncccd