A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a diameter of 6 inches and a height of 5 inches, what would it cost to fill the cone to its full capacity? Use 3.14 for pi.

Answer:

10% / .10 is the answer to the question.

Answer:

ok the mean is 9.77778

mode is none

range is 21

median is 8

so D would be the only answer choice that matches

Step-by-step explanation:

Answer:

D) The mean is greater than the median

Step-by-step explanation:

Answerrrrrr:

5.7-10^3

The value of point P on the number line is 5.7-10^3.

We have given the diagram,

We have to determine the value of P.

P is a point on the number line.

a line on which numbers are marked at intervals used to illustrate simple numerical operations.

Therefore the value of point P is,

5.7-10^3

The number line shows the value of the points and equal partitions on the line.

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Answer:

y - 4 = 1/3(x - 4)

y - 4 = 1/3x - 4/3

y - 12/3 = 1/3x - 4/3

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line can be expressed in the form y = mx + b. Given m = 1/3 and a point (4,4), we can substitute these into the equation to find b. The equation of the line is thus y = 1/3x + 8/3.

In mathematics, an equation of a line is often written in the slope-intercept form, which is y = mx + b. The term 'm' represents the slope of the line, while 'b' is the y-intercept.

In the question, the value 'm' is provided as 1/3, and one point through which line passes is (4,4). We can substitute the value of 'm' and the coordinates of the point into the equation to solve for 'b'.

So, y = mx + b becomes 4 = (1/3)*4 + b. Simplify this to solve for b, hence b=4-(4/3) which gives 'b' as 8/3.

Therefore, the equation of the line becomes y = 1/3x + 8/3.

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Answer:

x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12

Step-by-step explanation:

Expand:

x(2x + 3): 2x² + 3x

2x² + 3x + (x - 3) (x - 4)

Expand:

(x - 3) (x - 4):  x²- 7x + 12

2x² + 3x + x²- 7x + 12

Simplify:

2x² + 3x + x² - 7x + 12:  3x² - 4x + 12

= 3x² - 4x +12

Answer:

9.1801229e+12 or 9.18

Answer: 9180122932497.328

Step-by-step explanation: 3.3*3.3*3.3......=9180122932497.328

To measure the height of a tree, feet would be the most suitable unit .

When determining which unit you would need fewer of to measure a tree, it's important to consider units that are an appropriate scale for the object in question. Since a tree is typically more than a few feet tall, but significantly less than a mile tall, we would use feet as the unit of measurement. Using yards would require us to measure in much smaller segments than a whole yard, and using inches would take a long time to measure the full height. Therefore, the most suitable unit to measure the height of a tree would be feet, as this unit provides a balance between precision and efficiency. For fieldwork where estimation of tree density is needed, aspects like basal area might be measured using a factor prism in a defined plot area, such as a 0.04-ha (0.1-acre) plot, to estimate the density of trees in a larger area.

Answer:

x = -2

Step-by-step explanation:

We can find the slope of the line using

m = (y2-y1)/(x2-x1)

   = (5-3)/(-2- -2)

   (5-3)/(-2+2)

    2/0

The slope is undefined since the denominator is zero

This means we have a vertical line

This is in the form x=

We have points with x=-2  so

x = -2

Answer:

27

Step-by-step explanation:

Set up the equation as a ration 4*6 = 18*y

Cross multiply you get 108/4y= 27 logs

Answer:

35

Step-by-step explanation:

if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!

Answer:

x = 1, x = 5

Step-by-step explanation:

To find the zeros let y = 0, that is

- x² + 6x - 5 = 0 ( multiply through by - 1 )

x² - 6x + 5 = 0 ← in standard form

(x - 1)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 5 = 0 ⇒ x = 5

Wheel A will travel a distance of approximately 9 in more than wheel B in one rotation.

Explanation:

Given:

Diameter of wheel A, d₁ = 25.4 in

Radius of wheel A, r₁ = 12.7 in

Diameter of wheel B = 22.5 in

Radius of Wheel B, d₂ = 11.25 in

Distance travelled by A = ?

In one rotation, the distance travelled by a wheel is equal to its circumference.

Circumference of a wheel = 2πr

Circumference of wheel A = 2πr₁

                                            = 2 X 3.14 X 12.7 in

                                            = 80 in

Circumference of wheel B = 2πr₂

                                              = 2 X 3.14 X 11.25 in

                                              = 71 in

Therefore, wheel A will travel a distance of approximately 9 (80 - 71 in) in more than wheel B in one rotation.

The larger wheel with a diameter of 25.4 inches travels approximately 9 inches farther in one rotation than the smaller wheel with a diameter of 22.5 inches.

To determine how much farther Wheel A will travel in one rotation compared to Wheel B, we need to calculate the difference in their circumferences, since the circumference of a wheel determines the distance it covers in one rotation. The formula for the circumference of a circle is C = (pi * d), where C is the circumference and d is the diameter of the wheel.

First, we calculate the circumferences of both wheels:

Wheel A: C = (pi * d) = 3.14 * 25.4 inches = 79.756 inches.

Wheel B: C = (pi * d) = 3.14 * 22.5 inches = 70.65 inches.

Now, to find how much farther Wheel A travels than Wheel B in one rotation, we subtract the circumference of Wheel B from that of Wheel A:

Difference in distance = Circumference of Wheel A - Circumference of Wheel B = 79.756 inches - 70.65 inches = 9.106 inches.

When rounding to the nearest whole number, the difference is approximately 9 inches.

The number of people who receive Nicholas's chain letter can be modeled by an exponential growth function. Every 12 weeks, the number of people who have received the letter can be calculated by the formula P(t) = P0(1 + 0.99)^t, where P0 is the initial number of people, and t is the time in weeks.

The number of people who receive Nicholas's chain letter is represented by the function P(t) = P0(1 + r)^t, where P0 is the initial number of people, r is the rate of increase (expressed as a decimal), and t is the time in weeks. In this case, r is equal to 99%, or 0.99. So every 12 weeks, the number of people who have received the letter can be modeled as P(t) = P0(1 + 0.99)^t. This is an example of an exponential growth function, which is often used in real-world scenarios where the rate of something increases rapidly, such as interest in a bank account or population growth.

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Answer:

Option B, $1080

Step-by-step explanation:

Step 1:  Identify which option is correct

To find the initial amount of money you need to find the y-int or the value of y when the x value is 0.

So... when the x value is zero on this graph, the y-int or y value is  1080

Answer: Option B, $1080

Answer:

1119.42

Step-by-step explanation:

Final answer:

Katrina would receive an amount closest to $1,119.42, thus option A is the closest answer.

Explanation:

Katrina is looking at a Certificate of Deposit (CD) which has certain terms for compounded interest and an early redemption fee. To calculate how much she would get back if she withdraws the money 3 months before the CD matures, we need to do the following steps:

The formula for compounded interest is [tex]A = P(1 + r/n)^{(nt)}[/tex], where:

For this problem:

Let's calculate:

A = $[tex]\$1000(1 + 0.025/4)^{(4*4.5)}[/tex] = A ≈ $1,131.64

Now we calculate the 3 months' interest which is essentially the interest for one quarter:

Interest for one quarter = (A for 4.75 years) - (A for 4.5 years)

We calculate A for 4.75 years using t = 4.75 and subtract A for 4.5 years:

A for 4.75 years = [tex]\$1000(1 + 0.025/4)^{(4*4.75)}[/tex] ≈ $1,144.12

Interest for one quarter = $1,144.12 - $1,131.64 ≈ $12.48

Finally, subtracting the early redemption fee:

Amount after fee = $1,131.64 - $12.48 ≈ $1,119.16

The actual amount after subtracting the early redemption fee from the compounded total closest matches option A. $1119.42.

Answer:

[tex] |28 - x| = 0 \\ 28 - x = 0 \\ - x = - 28 \\ x = 28[/tex]

Answer:

x = 28.

Step-by-step explanation:

|28 - x| = 0

28 - x = 0

28 = x.

The absolute value makes no difference to the result as we have 0 on the right side.

Answer:

1 day and 8 hours

Step-by-step explanation:

Adan does 1/3 work each day,

Bernie does 1/4 work each day, and

Cynthia does 1/6 work each day

combined they accomplish 3/4 each day

therefore it would take them 1 day and 8 hours

By adding the individual work rates of Adan, Bernie, and Cynthia, we find that they could complete the task in a total time of 1.5 days when working together.

In this question, the rates at which Adan, Bernie, and Cynthia can complete a piece of work are given. This information can be used to calculate how long it would take for them to complete the work together.

Adan can do the job in 3 days, so his work rate is 1/3 of the job per day. Bernie's work rate is 1/4 of the job per day, and Cynthia's work rate is 1/6 of the job per day.

The combined work rate of Adan, Bernie, and Cynthia per day would be the sum of their individual work rates which is (1/3 + 1/4 + 1/6). This sums up to 4/6 or 2/3. The time required for them to finish the job together is the reciprocal of the total work rate which is 3/2 and that equals to 1.5 days.

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We can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Greg who is buying a bike on a payment plan. The equation y = 20x + 600 models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week.

The equation for Greg payment plan -

y = 20x + 600

models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars.

Similarly, the equation that represents the money owned by Lin -

y = 500 - 25x

[x] is the number of weeks and [y] is the amount of money remaining to be paid in dollars.

Refer the graph of both situations.

The amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

Therefore, we can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

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Answer:

200 (?)

Step-by-step explanation:

If 320 is divied by 40, you get 8.

If 1600 is divided by 8, you get 200

im like 90% sure sorry

Answer:

4

7

10

13

16.

Step-by-step explanation:

Just substitute the term number into the formula:

The first term a1 = (1 + 3k)

= 1 + 3(1) = 4.

a2 = 1 + 3(2) = 7.

- and so on.

Answer:

C = 33pi or approximately 103.62

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = pi*33

We can approximate pi by 3.14

C = 33*3.14

103.62

Answer:

103.62 units

Step-by-step explanation:

Radius = 33/2 = 16.5 units

Circumference = 2 × 3.14 × 16.5

= 103.62

The greatest possible length for the pieces into which two wires of lengths 448 cm and 616 cm can be cut without a remainder is 56 cm, which is the Greatest Common Divisor of the two lengths.

For the lengths given, 448 cm and 616 cm, the GCD can be found using the Euclidean algorithm.

Divide 616 by 448 and find the remainder: 616 / 448 gives a quotient of 1 and a remainder of 168.

Next, divide the former divisor (448) by the remainder (168) to get a new quotient and remainder: 448 / 168 gives a quotient of 2 and a remainder of 112.

Repeat this process using the previous remainder: 168 \/ 112 gives a quotient of 1 and a remainder of 56.

Continue the process: 112 / 56 gives a quotient and remainder of 2 and 0, respectively.

Therefore, the greatest possible length for equally-sized pieces of wire without remainder is 56 cm.

The probability of event S(students writing steak) was calculated as 14/25, event C(students writing chicken) as 6/25, while both occurring(S and C) as 5/25. From these the combined probability of either of these two events occurring(S or C) was determined by summing the individual probabilities and subtracting the combined one thus, 14/25+6/25-5/25.

The subject matter relates to the field of probability in Mathematics, focusing on two independent events namely, S (student writes steak) and C (student writes chicken). Here, the total number of students 25 serves as our sample space.

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Answer:

Step-by-step explanation:false

Answer: 5%

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

To find the total number of people who went on the trip, add the number of people in the cars and vans together.

To find the total number of people who went on the trip, we need to calculate the number of people in each car and each van and then add them together.

In each car, there were 5 people, so 3 cars would have a total of 3 x 5 = 15 people.

In each van, there were 4 people, so 2 vans would have a total of 2 x 4 = 8 people.

To find the total number of people, we add the number of people in the cars and the number of people in the vans: 15 + 8 = 23.

Therefore, a total of 23 people went on the trip.

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