[tex]y=4(0.25)^{x}[/tex]

**1) ** To determine which is the function from the table we need to attentively look for a constant factor in the y-column.

**2) **As we can see from this table, the factor we can tell that goes from 64 to 16 and then 4 is **1/4**. Or in decimal form **0.25**. So, we can tell the factor "b" is going to be 1/4 considering this model:

**3) **Let's pick one point (0,4) and plug it to find the other elements:

And finally, we can tell the function is:

[tex]undefined[/tex]Marshall's Theater Company claims that of its 2,937 costumes in inventory, 972 are just old used clothes, while the rest are collector's items. What percent of total inventory is collector's items?

In order to calculate the percent of items that are collector's items, let's first find the amount of collector's items by subtracting the total number of items by the number of old used clothes:

[tex]2937-972=1965[/tex]Now, to find the percent from the total, let's divide this amount we calculated by the total number of items:

[tex]\frac{1965}{2937}=0.669=66.9\text{\%}[/tex]Therefore **the percent of items that are collector's items is 66.9%.**

If x

2 = 25 , where x ε z then x =

After thoroughly **calculation**, we have come to find that,** **If **equation **x² = 25, where x ε z then x = √25 = 5, thus x is 5.

**Equation**, also known as a statement of equality between two expressions with variable- and/or number-based components. Since **equations **are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics.

From straightforward algebraic **equations **that only require addition or multiplication to differential **equations**, exponential **equations **that use exponential expressions, and integral **equations**, there are many different types of **equations** that range in complexity. Numerous physics laws are expressed using them.

Simultaneously occurring **equations**, or system of **equations **Algebra requires the simultaneous solution of two or more **equations **(i.e., the solution must satisfy all the **equations **in the system). The quantity of **equations **must match the quantity of unknowns for a system to have a distinct solution.

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if x is the number of years since 2000 and y is the percent of people using travel services the following equations represent the percent of people using travel agents and the percent of people using the internet to plan travel. y=-2x+30 y=6x+41 Find the year travel agents and the Internet were used equally

We need to solve a system of two variables with two equations, using elimination method.

y=-2x+30 (1)

y=6x+41 (2)

We are going to multiply first equation by 3, doing so the equation (1) can be written as:

3y = -6x + 90 (1)

Then, we are going to add the last equation to the second equation

3y = -6x + 90 (1)

+ y= 6x + 41 (2)

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

4y = 131

y = 131 / 4 Isolating y

y= 131/ 4

Then, we replace y= 131/4 in the first equation and solve for x

[tex]\begin{gathered} \frac{131}{4}=-2x+30 \\ \frac{131}{4}-30=-2x\text{ Transposing 30 to the other side of the equation} \\ \frac{131}{4}-\frac{120}{4}=-2x\text{ Converting 30 to an improper fraction} \\ \frac{11}{4}=-2x\text{ Operating homogeneous fractions} \\ \frac{\frac{11}{4}}{-2}=-\frac{2}{-2}x\text{ Dividing by -2 on both sides of the equation} \\ -\frac{11}{8}=x \end{gathered}[/tex]Since -11/8 is equal to -1.4 and x represents the number of years since 2000, then the year travel agents and the Internet were used equally was 1998.

f(x) = 4x3 + 5x2 – 3x - 6g(x) = 4x - 5Find (f - 3)(x).O A. (f - g)(x) = 4x3 + 5x2 – 7x – 1O B. (f - g)(x) = 4x3 + 5.02 +0 - 1O c. (f - g)(x) = 4x3 + 5x2 – 7x – 11O D. (f - g)(x) = 4x3 + 5x2 + x - 11SUBMIT

[tex]\begin{gathered} f\mleft(x\mright)=4x^3+5x^2-3x-6 \\ g\mleft(x\mright)=4x-5 \\ Find\mleft(f-g\mright)\mleft(x\mright). \\ \\ (f-g)(x)=f(x)-g(x) \\ =(4x^3+5x^2-3x-6)-(4x-5) \\ =4x^3+5x^2-(3x+4x)-6+5 \\ =4x^3+5x^2-7x-1\text{ } \\ \\ \text{Thus the answer is A} \end{gathered}[/tex]

does the mean of a data set have to be one of the data values?

No, the **mean** of a **data set **doesn't have to be one of the **data values** of the data set.

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Ahmad spends $16 each time he travels the toll roads. He started the month with $224 in his toll road account. The amount, A (in dollars), that he has left in the account after t trips on the toll roads is given by the following function.

A (t) = 224 - 16t

Answer the following questions.

a. How much money does Ahmad have left in the account after 11 trips on the toll roads?

b. How many trips on the toll roads can he take until his account is empty?

Part a

[tex]A(11)=224-16(11)=\boxed{\$48}[/tex]

Part b

[tex]A(t)=0\\\\224-16t=0\\\\t=\frac{224}{16}\\\\t=\boxed{14 \text{ trips}}[/tex]

a) The amount of **money **does Ahmad have left in the account after 11 **trips **on the toll roads is $ 48

b) The number of **trips **on the toll roads can he take until his account is empty is 14 trips

**Equations **are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an **equation**.

Given data ,

Let the **equation **be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A ( t ) = 224 - 16t , where t is the number of trips

a)

The amount of **money **does Ahmad have left in the account after 11 **trips **on the toll roads be P

Substituting the value of t = 11 in the equation , we get

A ( 11 ) = 224 - 16 ( 11 )

A ( 11 ) = 224 - 176

A ( 11 ) = $ 48

So , The amount of **money **does Ahmad have left in the account after 11 **trips **on the toll roads is $ 48

b)

The **number **of **trips **on the toll roads can he take until his account is empty be n

when A ( t ) = 0

224 - 16t = 0

Adding 16t on both sides of the equation , we get

224 = 16t

Divide by 16 on both sides , we get

t = 14 trips

Hence , the **equations **are solved

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Select the correct answer.

What is the sum of this expression?

**Answer:**

l think its B

**Step-by-step explanation:**

4n+1=25Please help with an explanation as well

**Question:**

Solve

4n + 1 = 25

**Solution:**

Consider the following formula:

[tex]4n+1\text{ = 25}[/tex]this is equivalent to:

[tex]4n\text{ = 25 -1}[/tex]this is equivalent to:

[tex]4n\text{ = 24}[/tex]solving for n, we get

[tex]n\text{ = }\frac{24}{4}=\text{ 6}[/tex]**Then, we can conclude that the correct answer is:**

maddie is determind to finish some extra credit math homework by completeing 4 math puzzles each day. Create a table of values to represent the relationship between the number of days and the number of puzzles she has completed determine if it is proportional and show your reasoning Brainliest will possibly be a prize :)

The **table** of values to represent the relationship between the number of days and the number of **puzzles** she has completed will be:

Days Puzzle completed

1. 4

2. 8

3. 12

4. 16

5. 20

How to illustrate the information?From the information, **Maddie** is determind to finish some extra credit math homework by completeing 4 math **puzzles** each day.

Therefore, the first day, she will do 4 **puzzles**. The second day will be:

= 2 × 4 = 8 puzzles

Third day = 3 × 4 = 12 puzzles.

In this case, the method that was used is simply to **multiply** the number of days by 4 since he does 4 **puzzles** everyday.

It should be noted that this illustrates a **proportional** relationship

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4. What is the mean of the following data? (Show your work){5, 6, 8, 4, 5, 7, 4, 3, 2, 6)

The mean of the data values is their average.

To obtain the average, find the sum of the data values and then divide the sum by total number of data.

In the given, we have 10 data values. Thus, the mean is as follows.

[tex]\begin{gathered} \overline{x}=\frac{5+6+8+4+5+7+4+3+2+6}{10} \\ =\frac{50}{10} \\ =5 \end{gathered}[/tex]Therefore, the mean is **5**.

Introduction to the probability of an eventA spinner with 8 equally sized slices has 8 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellowslice?write your answer as a fraction in simplest form.

Step 1:

[tex]Probability\text{ of any event = }\frac{Number\text{ of required outcomes}}{\text{Number of possible outcomes}}[/tex]Step 2:

There are 8 slices, hence the possible outcomes = 8

All the slices are color yellow. hence the required outcomes = 8

Step 3:

[tex]\text{The probability that the dial stops on yellow slice = }\frac{8}{8}\text{ = 1}[/tex]The probability that the dial stops on yellow slice = 1

Final answer

please help I've been trying to solve this for over an hour

24x +8y ≥ 20

3x - 6y > 24

First, express both equations in slope-intercept form

y= mx+b

Where:

m= slope ( rise (y) / run (x))

b= y-intercept (where the line crosses the y axis)

Solve for y:

24x +8y ≥ 20

8y ≥ -24x +20

y ≥ (-24x +20 ) / 8

y ≥ -3x + 2.5

3x - 6y > 24

-6y > 24- 3x

y < (24 -3x) / -6

y < 1/2x -4

System:

y ≥ -3x + 2.5

y < 1/2x -4

Solution = the area where the 2 solutions overlap (blue+ red)

Write a quadratic function in standard form whose graph has the given characteristics.

The **standard form **of the **quadratic **function with **vertex **(-1,8) and **passing **through point (0,2) is y = -6(x+1)²+8.

An **algebraic **equation of the **second degree **in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the **variable**, and a must **not **be **zero**.

The **standard form **of a quadratic equation in **vertex form **is given as,

y = a(x-h)² + 8

Where (h,k) is the **coordinate **of the vertex and a is constant.

Given the vertex (h,k) =** **(-1,8)

**Substitute**, vertex, and (0,2)

2 = a(0 + 1)² + 8

a = -6

Therefore, the equation **converts **as,

y = -6(x+1)²+8

Hence "The **standard form **of the **quadratic **function with **vertex **(-1,8) and **passing **through point (0,2) is y = -6(x+1)²+8".

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pair of shoes $80 find the total paid if taxes 6%

The first step is to find the value of the tax, you do it by multiplying the price of the shoes by the tax (in decimal form), this way:

[tex]t=80\cdot0.06=4.8[/tex]Now, add this value to the price of the shoes:

[tex]80.00+4.8=84.80[/tex]The total paid is $84.80.

please help me (question “e”)

(42-6)divide(6-3) this is the answers for your question follow me and make me brain list

**Answer:**

42 - 6 ÷ (6 - 3) = 40

**Step-by-step explanation:**

BODMAS

The **BODMAS **rule is an acronym representing the** order of operations** in math:

Given calculation:

42 - 6 ÷ 6 - 3 = 40

Following the **order of operations**, where **division **comes before **subtraction**, the current calculation is:

⇒ 42 - **6 ÷ 6** - 3

⇒ 42 - 1 - 3

⇒ 41 - 3

⇒ 38

Therefore, **brackets **should be added around (6 - 3) to make the calculation correct:

⇒ 42 - 6 ÷ (6 - 3)

⇒ 42 - 6 ÷ 3

⇒ 42 - 2

⇒ 40

⚠⚠⚠⚠⚠⚠⚠⚠⚠ Pleases Help ME!!!!!!!

There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.20). What is the slope of the graph? What is the unit rate? Complete the explanation.

The slope is _____. The unit rate is $_____/min. If the graph of a proportional relationship passes through the point (_____, r), then r equals the slope and unit rate.

The complete statement is:

The**The slope**

From the question, we have the following parameters

Point = (1, 3.20)

The point is a **proportional relationship **

So, the **slope **of the proportional relationship is

Slope = y/x

Where

(x, y) = (1, 3.20)

Substitute the known values in the above equation

So, we have the following equation

Slope = 3.20/1

Evaluate

Slope = 3.20

**The unit rate**

Here, we have

Point = (1, 3.20)

Also, we have

The point is a **proportional relationship **

The **unit rate** is

Rate = y/x

Where

(x, y) = (1, 3.20)

Substitute the known values in the above equation

So, we have the following equation

Rate = 3.20/1

Evaluate

Rate = 3.20

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what number is 90% of 20

Let's begin by listing out the given information:

[tex]\begin{gathered} 90\text{\%}\cdot20\Rightarrow\frac{90}{100}\cdot20 \\ \Rightarrow0.9\cdot20=18 \\ \Rightarrow18 \end{gathered}[/tex]**Therefore, 90% of 20 is equal to 18**

Steve scores in a card game is five points away from zero zinnias score is the opposite of an of Steve's score positive value what is the score

**Problem**

Steve scores in a card game is five points away from zero zinnias score is the opposite of an of Steve's score positive value what is the score

**Solution**

Let x the score for Steve and y the score for Denia.

We know that the score of Denia is the opposite of Steve

So then the scores needs to be:

**Steve =-5**

**Denia =5**

**And with this we satisfy all the requirements**

Which statement allows the line q and p are parallel ?

According to the converse of corresponding angles theorem, the statement that allows Carmen to conclude that lines p and q are **parallel **is: ∠2 ≅ ∠6.

A **transversal** is a line that crosses two straight lines. For example, line t is a **transversal** that crosses the lines p and q in the given diagram above.

**Parallel** lines are lines that do not meet each other at any point and are of equal distant to each other.

When a **transversal** intersects two **parallel **lines, they form angle pairs. One of such angle pairs is, corresponding angles, which are always congruent to each other.

Thus, if corresponding angles are formed and are equal to each other, then the lines they lie on must be **parallel **lines based on the corresponding angles converse theorem.

Angles 2 and 6 are corresponding angles that are formed by the **transversal **that intersects lines q and p. If they are congruent angles, then the lines are **parallel**.

Therefore, Carmen can use the statement, ∠2 ≅ ∠6 to show that lines q and p are **parallel**.

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A poll showed that 62.4% of Americans say they believe that some people see the future in their dreams. What is the probability (in percent form) of randomly selecting someone who does not believe that some people see the future in their dreams.Probability = % (Please round your answer to one decimal place.)

Let

A

be the event of selecting an American that believes that some people see the future in their dreams. From the problem,

P(A)=62.4%=0.624

Let

A' be the event of selecting an American who does not believe that some people see the future in their dreams

Remember that

P(A')=1-P(A)

substitute given value

P(A')=1-0.624=0.376=37.6%

Hence, the probability of randomly selecting someone who does not believe that some people see the future in their dreams is 37.6%

Leonard Desmond founded his traveling circus many years ago, and since that time he has featured 32 high-wire unicyclists and 24 ball-balancing seals. What is the ratio of high-wire unicyclists to ball-balancing seals?

**Answer:**

**The ratio of the high-wire unicyclists to ball-balancing seals is;**

**Explanation:**

Given that;

He has featured 32 high-wire unicyclists and 24 ball-balancing seals.

The ratio of the high-wire unicyclists to ball-balancing seals can be written as;

[tex]32\colon24[/tex]Reducing toits lowest form, we have;

divide both sides by 8;

[tex]\begin{gathered} \frac{32}{8}\colon\frac{24}{8} \\ 4\colon3 \end{gathered}[/tex]Therefore,** the ratio of the high-wire unicyclists to ball-balancing seals is;**

Suppose that the function f is defined, for all real numbers, as follows.1--x' +4 if x13f(x) = 24if x=1Find f(-4).f(1), and f(3).1(-4) = 0음f(1) = 0X Х?f(3) =

**Answer:**

**Step-by-step explanation:**

These types of functions are called Piecewise-defined functions since it use a different formula for different parts of its domain because it has a point of discontinuity.

We have the following function:

[tex]f(x)=\begin{cases}-\frac{1}{3}x^2+4\rightarrow ifx\ne1^{} \\ \text{ 4 if x=1}\end{cases}[/tex]So, to find f(-4), we need to substitute x=-4 into the function for x≠1.

[tex]\begin{gathered} f(-4)=\frac{-1}{3}(-4)^2+4 \\ f(-4)=-\frac{1}{3}(16)+4 \\ f(-4)=-\frac{16}{3}+4 \\ f(-4)=-\frac{4}{3} \end{gathered}[/tex]Now, for f(1) we know that the outcome is 4.

[tex]f(1)=4[/tex]Then, for f(3), substitute x=3 into the function for x≠1.

[tex]\begin{gathered} f(3)=-\frac{1}{3}(3)^2+4 \\ f(3)=-\frac{1}{3}(9)+4 \\ f(3)=1 \end{gathered}[/tex]What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

The **area **of the **triangle **bounded by the x-axis, the y-axis, and the line y = −4x + 4 is **2 square units**

given data

y = −4x + 4

**Area **of a **triangle **is equal to 1/2 * base * height

Assuming the y direction to be the **height **and the **base **is x direction

Point on the y direction is the y intercept since the line bounds the area

y intercept = −4( 0 ) + 4

y intercept = 0 + 4

y intercept = 4

Point on the x direction is the x intercept since the line bounds the area

y = −4x + 4

4x = 4 - y

4x = 4 - 0

x = 1

Area of a triangle = 1/2 * 1 * 4

= **2 square units**

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a new ipad costs $101.99 in the store. what would your total cost be if the sales tax is 7.5% round your answer to the nearest cent, if necessary

**ANSWER:**

$109.64

**STEP-BY-STEP EXPLANATION:**

The price after applying the tax would be the sum between the original value and the value equivalent to the established percentage, just like this:

[tex]\begin{gathered} p=101.99+101.99\cdot\frac{7.5}{100} \\ p=101.99+7.65 \\ p=109.64\cong\text{ \$109.6}4 \end{gathered}[/tex]Which is a better value for money, $5.99 for a package of 8 cold remedy

capsules or $2.85 for 2 capsules?

**Answer:**

the 8 pack

**Step-by-step explanation:**

So to start we should find how much an individual capsule in each is

Well start off by 5.99/8 which will give us 0.74875 per capsule and well round in to 0.75 each to put it in terms of money.

Now we will do 2.85/2 which then gives you 1.425 and well say that's about 1.43 per capsule

If you had half a dollar, three quarters, eight dimes, six nickels, and nine pennies, how much money would you have altogether?

If we have half a **dollar**, three **quarters,** eight **dimes**, six **nickels**, and nine **pennies** , then we **altogether** have $2.44 .

In the question ,

it is given that

we have half a **dollar** ,

which means half a dollar = $0.50

we have , **three quarters **means

we have 75 cents

and 75 cents = $0.75

we have 8 **dimes** ,

we know that 1 dime [tex]=[/tex] 10 cents

so , 8 dimes = 80 cents

and 80 cents = $0.80

we have six **nickels**,

we know that 20 nickels = $1

so , 1 nickel = $1/20

and 6 nickel = $ 6/20 = $0.30

we have nine **pennies** ,

we know that 100 pennies = $1

So ,1 Pennie = $1/100

and 9 pennies = $ 9/100 = $0.09

Combining all together we get

**total money** = half a dollar + three quarters + 8 dimes + six nickels + nine pennies .

Substituting the values , we get

total money = $0.50 + $0.75 + $0.80 + $0.30 + $0.09

= $2.44

Therefore , if we have half a **dollar**, three **quarters,** eight **dimes**, six **nickels**, and nine **pennies** , then we **altogether** have $2.44 .

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can you pleasee help meeeeeeeeee

**Answer:**

55.17

**Step-by-step explanation:**

[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]

Identify the variables, coefficients, and constants of the following equations.

3x = 12

y = 1/2x - 6

**Answer:**

Variables are the letters that represent a number. So, it would be the ones bolded here: 3**x**=12 and **y**=1/2**x**-6

The coefficients are next to the variables-the ones being multiplied with the variable. They are bolded here: **3**x= 12 and y= **1/2**x-6

The constants are the numbers that aren't coefficients or variables. So they are bolded here: 3x=**12 **and** **y=1/2x**-6**

Simplify: - 1x - 11 - 16x - 22 =

The given expression is

[tex]-x-11-16x-22[/tex]To simplify it add the like terms

[tex]\begin{gathered} (-x-16x)+(-11-22)= \\ \\ -17x+(-33)= \\ \\ -17x-33 \end{gathered}[/tex]Then the simplest form is

**-17x - 33**

Answer would be -17x -33

During second period, Anita completed a grammar worksheet. Of the 18 questions, Anita got 50% right. How many questions did Anita get right?

**Answer:**

Anita answered nine questions correctly.

**Step-by-step explanation:**

50% is 1/2 and 1/2 of 18 is 9.

Sorry for bad English, love from Vanuatu!

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