sarah work at a concession stand for 2 hours and erans 22.50$, but if she works for 4 hours she earns $45. what is the rate of change

f(1) = 5, which is the first term of the given sequence.

The given sequence starts with 5 and then decreases by 6 at each successive term.

So, we can write the nth term of the sequence as:

a(n) = 5 - 6(n-1) for n > 1

To find f(1), we can simply substitute n=1 in the above formula:

a(1) = 5 - 6(1-1) = 5 - 0 = 5

Therefore, f(1) = 5, which is the first term of the given sequence.

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The record holder skips 83 times in 15 seconds

We refer to a ratio as constant if the number we multiply by remains constant throughout the series.

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part-to-part ratio, whereas the second is a part-to-whole ratio.

The World record for the most number of skips is 332 in 69 seconds.

Let's assume the record holder skipped at a constant ratio.

The proportion, if s is the number of skips:

skips / seconds = s / 15 = 332/60

s / 15 = 332 / 60

s = 332( 15/60 )

s = 332/4

s = 83

She skipped 83 times in the space of 15 seconds.

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The maximum quantity that can be reached in a quadratic model can be determined by finding the vertex of the quadratic function. In this case, with coefficients of 117t and -22.9906t^2, the maximum quantity can be calculated.

To find the maximum quantity in a quadratic model, we need to locate the vertex of the quadratic function. The vertex is the point where the quadratic curve reaches its maximum or minimum value. In a quadratic equation of the form ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, the coefficients of the quadratic model are 117t and -22.9906t^2. Since there is no constant term, we can disregard it in this calculation. By substituting the values into the formula, we find that the x-coordinate of the vertex is -117 / (2 * -22.9906) = 2.5415.

To determine the maximum quantity, we need to substitute this value back into the quadratic equation. However, since the problem statement does not provide the complete quadratic equation or the context for the variable t, we cannot calculate the exact maximum quantity. Therefore, the specific value of the maximum quantity cannot be determined without additional information.

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By applying algebra, it can be concluded that the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems

Now we apply algebra to solve the problem:

Tyrone takes 8 pieces of candy each time snacking

After snacking 18 times, 6 pieces of candy remained in the bag

So the totals candies eaten = 8 * 18

                                              = 144 candies

Number of candies in the bag = candies eaten + remaining candies

                                                  = 144 + 6

                                                  = 150 candies

If s denotes the number of snacking, then the total number of candies eaten on s snacking = 8s

if c denotes the number of remaining candies, then:

c = total candies - candies eaten

c = 150 - 8s

Thus the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.

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We need to convert both quantities to the same units before we can compare them.

24 ounces is equal to 1.5 pounds (since there are 16 ounces in 1 pound).

So the ratio of 24 ounces to 12 pounds can be written as:

1.5 pounds : 12 pounds

Simplifying this ratio by dividing both sides by 12, we get:

0.125 : 1

Therefore, the ratio that compares the relative sizes of 24 ounces to 12 pounds is 0.125 : 1.

Answer:

I HAVE THE SAME THING

Step-by-step explanation:

Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.

To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.

There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.

Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.

Step-by-step explanation:

Answer:

Slope =6

Step-by-step explanation:

The given equation is in the form: y = mx + b

Here, m is the slope & b is y-intercept

y = 6x + 2

m = 6

Answer:

x = 5

Step-by-step explanation:

Change "minus a negative" to "plus a positive"

x - (-3) = 8

x + 3 = 8

Next, subtract 3 from both sides.

x + 3 - 3 = 8 - 3

x = 5

Check it!

x - (-3) = 8

5 - (-3) = 8

5 + 3 = 8

8 = 8 Check!

Answer: I believe this is True!

Step-by-step explanation:

I know what associative property and that seems like a example.

And if its false then answer should be false.

Try True, if not True then False!

Answer:

$79.74

Step-by-step explanation:

$956.89 devide by 12

Answer:

4 root 5

Step-by-step explanation:

√80 = √ 16 X √5

√16 = 4

so 4√5

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-

Answer:

A) 2.8 m

Step-by-step explanation:

The formula for the volume of a right rectangular prism is:

Volume = Length × breadth × height

We can just put in the values that we know to find the height.

110.1 = 7.8 × 5.1 × height

height = 110.1 ÷ 7.8 ÷ 5.1

height ≈ 2.8 (rounded to nearest tenth)

Thus, the answer is Option A.

Answer:

A) 2.8 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

l = 7.8 m

w = 5.1 m

V = 110.1 m³

Step 2: Solve for h

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

4.89

Step-by-step explanation:

Equation for radius of a cone is

R= square root of 3 * v/ pi *h

R= Square root of 3 * 150/pi *6

R= 4.886025119

= 4.89

I hope its right. Hope it helped.

Answer:

r = 4.89

I don't know how to right my explanation but that's the answer.

Answer:

c = 5.5

Step-by-step explanation:

2 a + 5 c = 46.50

a + c = 15

a = 15 - c

2(15-c ) +5c = 46.50

30 - 2c +5c = 46.5

3c = 16.5

c = 5.5

Answer: 90946.55

Step-by-step explanation:

The required amount after 20 years would be $90946.55.

Given that,
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

Here,
According to the question,
The amount after 20 years is given as,

\(y = 53000[1 + 0.27/365]^{365*20}\\y = 90946.54732\\y \approx 90946.55\)

Thus, the required amount after 20 years would be $90946.55.

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Answer:

All real numbers

Step-by-step explanation:

We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.

We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.

We can double check by seeing that the other options don't work or aren't enough:

\(x\geq 2\\and\\x\leq 2\\and\\x\geq -4\)

The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"

Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

Answer: part A: every month jim deposits $20, so every month his total balance will increase by 20$ starting from $150

Part B: The pattern is 1x for every 9y

Step-by-step explanation:

The statement " A(n) method is like a blueprint, or template, for all the objects within a class" is true because methods define the behavior or operations that an object can perform and are defined within a class, acting as a blueprint or template for creating objects in object-oriented programming.

A method in object-oriented programming is a set of instructions that defines the behavior or operations that an object can perform. It is a part of a class, which acts as a blueprint or template for creating objects. When an object is created from a class, it can access and use the methods defined within that class.

Methods can be used to perform tasks, manipulate data, or interact with other objects. They are an essential aspect of encapsulation in object-oriented programming, as they allow for data to be accessed and manipulated in a controlled manner. Overall, methods are a crucial tool for developers to create robust and scalable applications.

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It took both Sandy and Tom 54 seconds to cover the same distance.

We can set up an equation based on their relative speed

Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.

To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.

Equating the distances covered by Sandy and Tom:

7(t + 12) = 9t

Expanding the equation:

7t + 84 = 9t

Subtracting 7t from both sides:

84 = 2t

Dividing both sides by 2:

t = 42

Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:

t + 12 = 42 + 12 = 54

So, it took both Sandy and Tom 54 seconds to cover the same distance.

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Answer:

8/25

Step-by-step explanation:

2x2x2=8

5x5=25

= 8/25

f(x) = |x|

f(x) -d is a vertical translation down d units

g(x) = f(x) -4

= |x| -4 is a vertical translation down 4 units ( shift down 4 units)

f(x+c) is a horizontal translation left c units

g(x) = |x+5| is a horizontal translation left 5 units ( shift left 5 units)

g(x) = |x+5| -4 is a shift left 5 units and a shift down 4 units

Answer:

I feel like its that but im rlly not sure.

Step-by-step explanation:

Leanne's list is incorrect and  there are 3 different sides a person can choose. So, there are a total of 6 possible ways a person could choose their dinner.

The given parameters are:

Main Dish: B, C and P

Sides: A and F

Using the above parameters, the combination of dishes are:

BA, BF, CA, CF, PA and PF

Hence, we can conclude that Leanne list is incorrect

Also, we have:

Dish = 3

Sides = 2

So, the number of dinner to choose is:

Dinner = 3 * 2 = 6

Hence, a person could choose their dinner in 6 ways

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A picking list is used by forklift drivers to let them know how much of each item to get from specific storage areas in a distribution center.

Explanation:

A picking list is a document that is used by forklift drivers and other warehouse personnel to identify the specific items and quantities that need to be picked from specific storage locations in a distribution center.

The picking list typically contains information such as the item number, description, location, and quantity needed for each item. It may also include other details such as the customer's name, order number, and delivery date.

The purpose of the picking list is to ensure that the correct items are picked in the correct quantities, and that they are picked from the correct storage locations. This helps to ensure that orders are filled accurately and efficiently, and that inventory levels are properly managed.

Once the items are picked, the picking list may be used to update inventory records and to generate packing slips or other shipping documents. The picking list is an essential tool in the warehouse and distribution process, and it helps to ensure that customers receive the correct products on time.

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The area of the figure is 825 and its unit is units squared

The given figure is a trapezium. Area of trapezium(A) = 1/2(a+b)h

Considering the labelling on the image  attached:

The distance h spans from -15 to 18. Thus h = 18 - (-15) = 18+15 = 33 units

The distance a spans from -15 to 6. Thus a = 6 - (-15) = 6 +15 = 21 units

The distance b span from -15 to 18. Thus b = 24 - (-15) = 18+15 = 39 units

Note: each square of the graph is 3. You can also get the distance by counting number of squares and then multiply by 3.

Now, Area(A) = 1/2(21+39) x 33

                        = 1/2(50) x 33

                        = 25 x 33 = 825 squared units

Therefore, the area of the composite figure is 825 and the unit is units squared

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