Part C
What is the equation of the directrix of the parabola? If the value of a changed from - to, what would the equation of the directrix be?

Answer:

Step-by-step explanation:

here is a step-by-step explanation of how to find the new dimensions of the field:

Start with the original dimensions of the field: 24 feet by 20 feet

Apply the scale factor of 1.6 to the length (24 feet): 24 feet * 1.6 = 38.4 feet

Apply the scale factor of 1.6 to the width (20 feet): 20 feet * 1.6 = 32 feet

The new dimensions of the field are: 38.4 feet by 32 feet.

The two step equation for the scenario that your cousin is in where they pay for their textbooks is:

7x + 20 = 230

x = (230 - 20) / 7

The cost of the textbooks would be $30.

The total amount paid by your cousin in order to be able to cover a book for their 7 classes and the fee for art class is $ 230.

Assuming that the cost of each book from his 7 classes is denoted as x, then the expression would be:

= 7 x number of classes

= 7x

This amount is then added to the cost of the art class which is $ 20 so it becomes:

= 7x + 20

The two step equation is therefore:

7x + 20 = 230

x = (230 - 20) / 7

The cost of the textbooks is:

x = (230 - 20) / 7

x = $ 30

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The value of h(5,4) is 86 in the given function h(x, y) = x² + 3xy-(y-x)

What is a function ?

function can be defined as the relation in which it relates an input to the output.

Given ,

Let a function of 2 variables be defined by

h(x, y) = x² + 3xy-(y-x),

So, the value of h(5,4)

put x = 5 and y = 4 in the function h(x, y) = x² + 3xy-(y-x)

h (5,4) = 5*5 + 3*5*4 - (4-5)

h(5,4) = 25 + 60 - (-1)

h(5,4) = 25+60+1

h(5,4) = 86

Hence, The value of h(5,4) is 86

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Answer:

Step-by-step explanation:

First, find the length of the longer pipe, which is stated to be 5 times longer than the shorter piece. Substitute the longer piece as b. Same for the shorter piece, but as a.

[tex]a + b = 342\\5b\:+\:? = 342\\a = 5b[/tex]

Why a is 5b is because a is the correspondent value to b since they are both substituted, in short words this means that a will be the equivalent of |5 × b - 342|

Next, we substitute the problem in a ruled equation. Think of it this way: There are 2 values in the equation. One has a value of 5 and the other has a value of one. Add those together, and you get 6, right? This will be important for our final answer.

[tex]6b\div 6 = 342\div 6\\b = 57[/tex]

Lastly, substitute a.

[tex]a + b = 342\\a + \bold{57} = 342\\a = \left(342 - 57\right)\\\\a = 285\\b = 57[/tex]

Hope this helps!

2500 - 2000y  is  value with every passing year. is an expression for the cost (C) of the car after y years of use.

What does "cost simple" mean?

The amount of money that a business had to spend on the production of its goods or services is known as the cost. It is calculated as the sum that the business spends to create a specific number of a product.

                                    In plain English, it is the cash a business spends on things like labor, services, raw materials, and more.

The cost of the car is  $25,000

and it loses its original value by  8%

.

Hence the cost of the car after y years = $(2500 - 2500 * 0.08 * y)

                                                    = $(2500 - 2000 * y

                                                = 2500 - 2000y

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A) y=-x+15
B)   y=-1/2x+10
D)  The graphs intersect at x=10,y=5 And spelling questions are 10 and vocabulary questions are 5.        

Step-by-step explanation:

Total number of question is 15,
So,
x+ y=15
y=-x+15

B) Total number of points possible is 100
5x +10y=100
x+2y=20
2y=-x+20
y=-1/2x+10

D) The graphs intersect at                  
x=10,y=5

So spelling questions are 10 and vocabulary questions are 5.  

According to the slope-intercept form, the slope-intercept form of the line is given by the equation y = mx + b, where m is the line's slope and (0,b) is its y-intercept. Ax + By = C is the method for a linear equation in standard form, where A, B, and C are real numbers.

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Answer: 10

Step-by-step explanation: I counted

The number of different angles formed at the vertex A is 10.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a figure.

We have to calculate the number of angles formed at A.

The biggest angle is ∠BAG.

There are 3 other other angles starting from B to C, E and F through A.

There are 3 angles starting from C to E, F and G through A.

2 angles are starting from E to F and G through A.

There is 1 angle starting from F to G through A.

Total number of angles formed at A = 1 + 3 + 3 + 2 + 1 = 10

Hence the total number of angles formed at A is 10.

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It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:

The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.

The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.

The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.

Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.

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The existence of positive integers is a given,Therefore, 8, 9, and 10 are three consecutive whole numbers.

A mathematical model that may be expressed as a series of quadratic equations or as a quadratic equation, such as Y = aX2 + bX + c. When a quadratic equation is graphed, the connection between the variables is represented by a parabola. contrasting the linear model

The numbers should be x, x + 1, and x + 2.

Then, in response to the query, x 2

x ^2  + (x + 1)(x + 2) = 9.

2x^2 +3x - 9 =(2x+19)(x8)=0. + (x + 1)(x + 2) = 9.

It results in x=2 19,8.

Since the existence of positive integers is a given.

Therefore, 8, 9, and 10 are three consecutive whole numbers.

Use the following to solve any quadratic equations problem:

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The rule of transformation will be (x,y) → (8x, 8y). Then the correct option is D.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Square UVWX is dilated by a scale factor of 8.

Then the rule of transformation is given as,

(x,y) → 8(x, y)

(x,y) → (8x, 8y)

The rule of transformation will be (x,y) → (8x, 8y). Then the correct option is D.

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1. The group of players in the game of economics both produces and uses goods and services are producers and consumers

2. The purpose of a budget is keeping their expenses below their income

3. Some people are more committed to saving for retirement than other people because different people look at future risks differently.

4. The sentence that best describes the purpose of advertising is transmit product messages to an audience

5. The type of business that is most likely to use the bricks-and-clicks business model are: newspapers, grocery stores, and clothing sellers

6. The business model that a company follows is a business plan

A business model is a plan that outlines how a company intends to generate revenue and make a profit. It lays out the company's value proposition, target market, marketing and sales strategies, and the structure of the company's operations and finances. Examples of business models include subscription-based models, advertising-based models, and product-based models.

Therefore, the correct answers are as given above

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The corporation will pay the bondholder a total of Php 1,200 + Php 2,000 = Php 3,200 over the life of the bond.

A bond's coupon is the annual interest payment that the bond issuer promises to pay to the bondholder. In this case, the bond has a face value of Php 2,000 and a 6% coupon, so the annual interest payment is 6% * Php 2,000 = Php 120.

The bond has a maturity date of 10 years, so the total interest payments to the bondholder over the life of the bond will be Php 120 * 10 = Php 1,200.

In addition to the interest payments, the bond issuer also promises to return the bondholder the face value of the bond at the maturity date. In this case, the face value of the bond is Php 2,000.

So, the corporation will pay the bondholder a total of Php 1,200 + Php 2,000 = Php 3,200 over the life of the bond.

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This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.

This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.

Given:

Sequence is 55, 44, 33, 22, ...

We need to find the next two terms in the sequence.

According to the question,

Now, calculating the common difference of arithmetic sequence.

d1 = 44  - 55 = -11

d2 = 33 - 44 = -11

Hence, the common difference d is -11.

Now, calculating the next two terms of given sequence.

We know that,

a5 = 55+ (4) * (-11)

a5=55-44

a5  = 11

a6 = 55+(5)*(-11)

a6 = 55- 55

a6 = 00

This question is based on the concept of sequence. Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.

Therefore, the next two terms of sequence is 55, 44, 33, 22, 11, 00.

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Is used to estimate the concentration of viable microorganisms in a sample by means of replicating liquid broth growth in ten-fold dilutions.

According to the Side Angle Side (SAS) postulate, two sides and the included angle of one triangle must be congruent to two sides and the included angle of another triangle in order for these two triangles to be considered congruent.

A is measured at a 40° angle. Measurement in mathematics refers to the quantification of a variety of quantities, including length, weight, capacity, and volume. Any amount is measured and expressed in two parts: a numerical value and the particular unit.

The most often measured quantities are the following: Length. Measurement units can be expressed in writing as symbols, words, or abbreviations. Use the following words for fundamental measuring units: 25 pounds, 12 inches. Use the following symbols to denote derived units of measurement: 38 mph, 27 ft/s2.

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i did 21                

for thre firdse then ib did 9

Answer:

To cook 10 cups of rice, Martha used 18 cups of water. We know that this is a proportion of the amount of water needed to the amount of rice cooked:

10 cups of rice : 18 cups of water = x : y

We also know that x is the amount of water needed to cook 12 cups of rice.

To find out how much water Martha needs, we can keep the proportion and substitute the known value of x.

10 cups of rice : 18 cups of water = 12 cups of rice : y

We can cross multiply to get:

10 * y = 18 * 12

y = 18 * 12 / 10

y = 21.6 cups

Therefore, Martha needs 21.6 cups of water to cook 12 cups of rice.

If a coin is flipped four times, find the probability distribution for the number of heads. The correct option is (c) is Chart C.

In probability theory and statistics, a probability distribution is a mathematical function that gives the probability of occurrence of various possible outcomes of an experiment. This is a mathematical description of a random phenomenon in terms of sample space and event probabilities (a subset of the sample space).

For example, if X is used to denote the result of a coin toss ("experimental"), the probability distribution of X gives the value 0.5 (1 to 2 or 1/2) for X = table. and assume that: 0, 5 for X = tail (assuming the coin is fair). Examples of random phenomena are the weather conditions at a later date, the height of a randomly selected person, the proportion of boys in a school, or the results of a survey being conducted.

General Properties of Probability Distributions

Statisticians call variables that follow probability distributions random variables. The notation for a random variable that follows a particular probability distribution function is

X usually represents a random variable.

Tilde (~) indicates follow distribution.

Upper case indicates distribution. B. N for normal distribution.

Bracket contains the parameters of the distribution.

For example, X ~ N (µ, σ) represents a normally distributed distribution with population mean µ and standard deviation σ. The distribution of IQ scores is represented as X ~ N (100, 15).

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Answer:

Edgar

Step-by-step explanation:

The domain of people would be the natural numbers 20 -25.

Ernesto domain would allow for 1/2 people and .75 if people.  Willa only wants to invite whole people.

Given the

Diagonal length 1 (d1) =40cm

diagonal length 2 (d2) =26cm

area of ​​rhombus,

= 1/2 (d1 × d2)

=1/2 (40×26)

=520[tex]cm^2[/tex]

Hence the area of the rhombus whose diagonals are 40 centimeters and 26 centimeters comes out to be 520[tex]cm^{2}[/tex].

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In a standard 52-card deck, 10.6 turns of the cards are anticipated before the first ace is seen.

A deck is a structure that covers a sea bed or a compartment permanently. The primary or top deck on a boat or ship is the horizontal support that acts as the hull's "roof," reinforcing it and providing the main working area.

An n-card deck will often need turning over (n+1)/(k+1) cards before the initial set of k notes can be seen. Given that there have been four aces and n=52, k=4, the solution is 53/5, which is 10.6.

The predicted count is therefore increased by 1/(k+1) for each non-target card, such as a card that wasn't an ace there in original question. Since there are n-k – anti cards, (n-k)/(k+1) is the anticipated group of non cards to appear prior to the initial target card. Because the initial target card increases the count by one, we may predict that (n-k)/(k+1) + 1 Equals (n+1)/(k+1).

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The event of customer taking the bus and driving to the store are not dependent and hence are mutually exclusive events.

Since it is used to calculate the probabilities of events, set theory is highly well-liked in the fields of statistics and mathematical theory. When the likelihood of the two occurrences occurring simultaneously is equal to the probability of the events occurring separately, the events are said to be independent.

Given that A is the customer that takes the bus and B is the customer that drove to the store. Since, the two events do not have a relation with each other, they are considered to be independent event and hence they are mutually exclusive.

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t = 4.9029 for Given the equation t = -0.0069d + 7.35, where t is the time of sunrise in hours after midnight and d is the number of the day in the year,

To find the time of sunrise on December 25th, the 359th day of the year, we need to substitute 359 for d in the equation.

t = -0.0069(359) + 7.35

t = -2.4471 + 7.35

t = 4.9029

This means that the time of sunrise on December 25th is 4.9029 hours after midnight. To convert this to minutes, we can multiply 4.9029 by 60 (since there are 60 minutes in an hour).

4.9029 x 60 = 294.174

So the sun rose on December 25th at 294.174 minutes after midnight, which is equivalent to 4 hours and 54 minutes (294 minutes) after midnight. To the nearest minute, the sun rose on December 25th at 4:54 AM.

As the moon moves in its orbit, its side where it gets illuminated by the Sun also changes.

On a full moon day, the moon rises at the time of sunset and sets at the time of sunrise the next day.

On the night of a third quarter, the moon rises at midnight and sets during the noon period of the other day.

At first quarter, the moon rises at noon and gets set by the time of mid- night.

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Answer:

Each coin has 2 outcomes when flipping (it may be head or tail), so the possibility to flip head is equal to possibility to flip tail and is .

If you are flipping three times, then using the product rule you can conclude that the possibility to get three heads is equal to possibility to get three tails and is:

Step-by-step explanation:

The population is greater than 10 times the sample size is supposed to be met to use z procedures in a significance test about a population proportion.

The collection of data is gathered and chosen from a statistical population with the use of some prescribed techniques in both statistics and quantitative methodology. Data sets may be divided into two categories: sample and population.

All the components of the data set are included in the population, which also contains quantifiable qualities like mean and standard deviation.

A sample is made up of one or more observations that are taken from the population, and a statistic is what makes a sample quantifiable. The act of sampling is the selection of a sample from a population.

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Answer:

f(x) = - x + 2

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

f(0) = 2 means y = 0 when x = 2 and f(5) = - 3 means y = - 3 when x = 5

thus there are 2 points (2, 0 ) and (5, - 3 )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-2}{5-0}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

then

f(x) = - x + 2

(a) 21/144 probability of selecting 1 red and 2 black. (b) 35/144 probability of selecting 2 black. (c) 61/144 probability of selecting 2 same color.

What is probability ?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will occur with certainty. The probability of an event can also be expressed as a percentage or a fraction. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

(a) The probability of selecting one red and two black balls is (3/12) * (7/12) * (7/12) = 21/144.

(b) The probability of selecting exactly two black balls is (7/12) * (7/12) * (5/12) = 35/144.

(c) The probability of selecting exactly two balls of the same color is (3/12) * (3/12) + (2/12) * (2/12) + (7/12) * (7/12) = 61/144.

(a) 21/144 probability of selecting 1 red and 2 black. (b) 35/144 probability of selecting 2 black. (c) 61/144 probability of selecting 2 same color.

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Answer:

A = 9 units²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = AB = 3 and h = BF = 3 , then

A = 3 × 3 = 9 units²

Answer:

108 cm

Step-by-step explanation:

You need to figure out the area of both triangles and then add them to the area of the rectangle. The area of the rectangle can be found like:

12x5=60.

Then, you need to find the are of the triangles. We are told the height of the hexagon is 13cm, and that the height of the rectangle is 5cm. So, the area of the height triangles is 13-5cm and to get the height of the original triangles we will do:

13-5=8/2=4.

Next, we need to find the area of the triangles. That is calculated using the formula a=(1/2)bh. The base is 12 cm (same as the bottom rectangle side) and the height, as found in the previous problem is 4cm. So, what we will do is:

a=(1/2)4*12=24.

The area of one triangle is 24, so we will add that to get the triangles combined area, to 48. The total area of the shape comes by adding all the areas of the shaped found inside it.

60+48=108. So the area of the hexagon is 108 cm.

Answer:

its increases by 10 degrees

Step-by-step explanation:

17297280 ways can the sites for the new stores be selected. This can be solved using the concept of probability.

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Given that,

14 different sites on which to locate 7 stores

For store 1, it can be placed on 14 sites.

Store 2 can be placed on 13 sites (since store 1 is already on site 1).

Store 3 can be placed on 12 sites and

so on until store 7 which has 8 sites.

Therefore the number of ways is:

C = 14 × 13 × 12 × 11 × 10 × 9 × 8

C = 17297280 ways

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