3, -9, 27, -81,... Explicit Formula an = -9 . 3n-1 an = 3 . -3n-1an = -9 . 27n-1 an = 3 - 3 ( n- 1 )

Answer:

Step-by-step explanation:

You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and

plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy

the guitar? Explain your answer.

15 hours × 3 weeks × $9 per hour

15 × 3 × 9 =

45 × 9 = 405$

The answer is YES

Answer:

y=4 1/4x-8

Step-by-step explanation:

believe in yourself

Answer:

the answer is \(y=\frac{1}{4}x+2\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

The linear velocity expression of the given problem is: 8π/7 feet per second

Angular velocity is defined as the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.

We are given the angular velocity as:

ω = π/7

The formula that shows the relationship between angular velocity and linear velocity is:

v = ωr

Thus:

v = (π/7) * 8

v = 8π/7 feet per second

Read more about Angular Velocity at: https://brainly.com/question/29342095

#SPJ1

Answer:

Im pretty sure it is 400,000 if this is place values, let me know if I'm wrong, I hope this helped you!

Step-by-step explanation:

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

To learn more about median, refer:

https://brainly.com/question/12730221

#SPJ1

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

Learn more about equations in: https://brainly.com/question/29538993

#SPJ1

Answer:

A) P(T) = 30/120 = 1/4

B) P(T) = 50

Step-by-step explanation:

A) P(T) = 30/120 = 1/4

B) P(T) = 1/4 of 200 which is 50

a. Probability that the coin shows tails is  \(\frac{1}{4}\).

b. 50 number of times the coin shows tails.

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Probability = \(\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}\)

According to the question

a. John throws a biased coin 120 times. It shows heads 90 times.

Probability formula:

Probability = \(\frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}\)

Probability that the coin shows heads = \(\frac{90}{120}\) = \(\frac{3}{4}\)

Probability that the coin shows tails = 1 - \(\frac{3}{4}\) = \(\frac{1}{4}\)

b. Carly throws the same coin 200 times.

From a, we know the probability that the coin shows tails is  \(\frac{1}{4}\).

Number of times the coin shows tails = 200 × \(\frac{1}{4}\) = 50

Find out more information about probability here

brainly.com/question/13011617

#SPJ2

The value of a + b + c is 42.

Let's set the arrival time of one of the mathematicians, let's say the first mathematician, to be t minutes after 9 a.m.

The likelihood that a second mathematician will show up while the first one is in the cafeteria is \($ \frac{m}{60}\), since the second mathematician has a \(\frac{m}{60} $-hour\) window to arrive while the first is there.

⇒The probability that they arrive during some overlapping time is then \($2\left(\frac{m}{60}\right)\left(1 - \frac{m}{60}\right)$\). This probability must be equal to 0.4.

⇒So we have the equation \($2\left(\frac{m}{60}\right)\left(1 - \frac{m}{60}\right) = 0.4$\).

⇒Solving for m yields \($m = 24 - 4\sqrt{14}\).

Therefore, the a + b + c = 24 + 4 + 14 =42.

For more such questions on probability

https://brainly.com/question/11234923

#SPJ4

Answer:

y=6

Step-by-step explanation:

y+6 3

----- = ----

8 2

2(y+6)=8(3)

2y+12=24

2y=24-12

2y = 12

---- ----

2 2

therefore y=6

Answer:

it will be 6 im 100%

Step-by-step explanation:

y=6

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

for such more question on cost

https://brainly.com/question/8993267

#SPJ8

The mean, median, range, and standard deviation  for the new data set must all be 7 greater than for the original data set.

The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.

The formula for the mean is: Mean = (Sum of Values)/(Number of Values)

For the original data set: Mean = (Sum of Values)/30

For the new data set: Mean = (Sum of Values + 6)/31

Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.

The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.

The formula for the median is: Median = (n+1)/2

For the original data set: Median = (30+1)/2 = 15.5

For the new data set: Median = (31+1)/2 = 16.5

Therefore, the median for the new data set must be 7 greater than the median for the original data set.

The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.

The formula for the range is: Range = (Largest Value) - (Smallest Value)

For the original data set: Range = (Largest Value) - 13

For the new data set: Range = (Largest Value + 6) - 13

Therefore, the range for the new data set must be 7 greater than the range for the original data set.

The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)

For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)

For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)

Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

For more such questions on Expenses, click on:

https://brainly.com/question/30967676

#SPJ8

The equation of a circle is written as (x – h)^2 + (y – k)^2 = r^2

h and k are the center point and r is the radius.

In the given equation h = -6 and k = 7 and r would be the square root of 81, which is 9.

Center (-6,7)

Radius = 9

The required center is \((-6,7)\) and the radius is 9 units.

Given equation is,

\((x + 6)^2 + (y-7)^2 = 81\)....(1)

Equation of the circle: The general equation of the circle with the center (a,b) and the radius r is represented by,

\((x-a)^2+(y-b)^2=r^2\)...(2)

We can write the given equation as,

\((x + 6)^2 + (y-7)^2 = (9)^2\)

Comparing equations (1) and (2) we get,

The Centre of the given circle is \((-6,7)\)

The radius of the given circle is 9 units.

Learn more about the equation of the circle:

https://brainly.com/question/519358

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

Answer:

At x= 4 the given expression is undefined.

Step-by-step explanation:

In a given function , if the denominator becomes zero then the function is undefined.

Here, denominator is x-4 so at x = 4 it will become zero. So we can say that at x=4 , the function is undefined

Answer:

14+7=21

The probability is 21/32 or 65,625%

Step-by-step explanation:

You just add the number of girl students (including the ones that got an A) with the number of boys that got an A

Then you divide that number by the total of students (32)

The probability of choosing a girl or an A grade student is 19/32.

Probability is the chance or possibility to occur any selected event.

If the number of possible outcomes of an event is divided by the total number of outcomea of the event then it is called probability of that particular event.

In a maths class,

The total number of students = 32

No. of boys = 18 & no. of girls = 14

On an unit test, 5 boys made an A grade whereas 7 girls made an A grade.

The probability of choosing a girl = 14/32 = P(A) (say)

And, The probability of choosing an A grade student = 12/32 = P(B) (say)

Hence, the probability of choosing an A grade student who is a girl = P(A∩B) = 7/32

∴ The probability of choosing a girl or an A grade student =

P(A∪B) = P(A)+P(B)-P(A∩B)

            = 14/32+ 12/32-7/32

            = 26/32-7/32

            = 19/32

Hence, The required probability is 19/32.

Learn more about probability here :

https://brainly.com/question/251701

#SPJ2

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

The area of the composite shapes are:

1) A = 22 cm²

2) A = 91.5cm²

1) The formula for area of a trapezium is:

A = ¹/₂(sum of parallel sides) * height

Area of rectangle = Length * width

Thus:

Total Area of composite shape is:

A = (7 * 2) + ¹/₂(6 + 2)*2

A = 14 + 8

A = 22 cm²

2) Area of square = side * side

Area of semi circle = ¹/₂π(r²)

Total area of composite shape is:

A = (5 * 5) + (21 * 3) + ¹/₂π(1.5²)

A = 91.5cm²

Read more about Area of Composite Shape at: https://brainly.com/question/29710027

#SPJ1

Answer:

C=20

Step-by-step explanation:

1. 25÷5=5

2. 5×4=20

I hope this helped☺

Answer: multiply 6 by 3 and 10 by 3

Step-by-step explanation:

G = 10.8

creds to sqdancefan

Answer:

26 shots.

Step-by-step explanation:

60% of 42 is 25.2 but you can't make .2 of a shot so you have to round up.

Answer:

80 in.²

Step-by-step explanation:

The total surface area of the pyramid is the sum of the area of the base and the areas of the 4 triangular sides.

Square: area = s²

Square: side = 4 in.

Triangular side: area = bh/2

Triangular side: base = 4 in.; height = 8 in.

Area of the base: s² = (4 in.)² = 16 in.²

Total area of the 4 triangular sides: 4 × bh/2 = 2bh = 2 × 4 in. × 8 in. = 64 in.²

Surface area = 16 in.² + 64 in.² = 80 in.²

Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

Learn more about graph at:

https://brainly.com/question/25799000

#SPJ1

Step-by-step explanation:

First, is 0 greater than -2? Correct

Next, is 6 greater than -12? Correct

Is -7 less than -5? Correct

Finally, is -5 less than -8? NERP!!

So C. is incorrect. Or in this case, it is...

The original price of the camera is $220.00 based on the fact that discount of 44% is $96.80

What portion of the original price is the discount?

The discount of $96.80 in dollar terms, represents 44% of the original of the camera, in other words, we can determine the 1%  of the original price of the camera by dividing the discount of $96.80 by 44

1% of the original price of the camera=$96.80/44

1% of the original price of the camera=$2.20

100% of the original price=1% of the original price of the camera*100

100% of the original price=$2.20*100

100% of the original price=$220.00

Find out more about discount on price on:brainly.com/question/4490594

#SPJ1

Answer:

No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.

Step-by-step explanation:

The correct relationship between the hikers distance and time is;

No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

A group of hikers tracked how long it took to hike a 20-mile trail.

And, They hiked 3.75 miles in 3 hours, 7.5 miles in 6 hours, and 12 miles in 8 hours.

Now,

Find the proportional as;

For hiked 3.75 miles in 3 hours,

Proportional = 3.75 / 3

                   = 1.25

For hiked 7.5 miles in 6 hours,

Proportional = 7.5 / 6

                   = 1.25

For hiked 12 miles in 8 hours,

Proportional = 12 / 8

                   = 1.5

Thus, The correct relationship between the hikers distance and time is;

No, it is not proportional because 7.5 miles in 6 hours is not equivalent to 12 miles in 8 hours.

Learn more about the proportion visit:

https://brainly.com/question/870035

#SPJ2