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Answer:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

Answer:

Step-by-step explanation:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

Answer:

???

Step-by-step explanation:

Where's the image?

Answer:

-52 / 5

Step-by-step explanation:

3 9/10 * -8 / 3 = 39 / 10 * -8 / 3 = -52 / 5

Answer: -52 / 5

Step-by-step explanation: 3 9/10 * -8 / 3 = 39 / 10 * -8 / 3 = -52 / 5

An equation that relates distance from home (d) and the amount of time (t) it has been is y = 58x - 104.

The meaning of the slope mean in this case is: B. the slope is how fast you traveled on average.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data points (3, 70), a linear equation of this line in slope-intercept form can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 70 = (360 - 70)/(8 - 3)(x - 3)

y - 70 = 58(x - 3)

y = 58x - 104

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Answer:

1406.7 in^3

Explanation:

The volume of a cylinder with radius r and height h is given by

Now in our case h = 7 in, r = 16 /2 = 8 in, and in we use pi = 3.14, the above gives

which gives

Rounded to the nearest tenth this is

Answer:

The formula to calculate volume of a cylinder is given by the product of base area and its height. Volume of a cylinder = πr2h cubic units.

Step-by-step explanation:

We have sufficient evidence to support the alternative hypothesis (H₁: μ ≠ 530 mL) at the α = 0.10 significance level.

To determine an appropriate conclusion at the significance level of α = 0.10, we compare the p-value (0.038) to the significance level.

Since the p-value (0.038) is less than the significance level (0.10), we can reject the null hypothesis (H₀: μ = 530 mL).

In simpler terms, there is evidence to suggest that the automated machine at the restaurant is not filling drinks with the proper amount.

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

2 is 15x-2 , 3 is 64x ,4 is 3x-24 I hope it will help you please follow me

Answer:

The answer is 39 ...........

Answer:

a) 11 months

b) 788 discs

Step-by-step explanation:

Let us represent number of months = x

For DVD's

The number of DVD's sold at Fry's Electronics in a month was 920 and the number of DVD's sold decreased by 12 per month.

Hence:

920 - 12x

For Blu ray

The number of Blu-ray discs sold at Fry's Electronics in the same month was 502 and the number of Blu-ray discs sold increased by 26 per month.

502 + 26x

Write a system of equations to model th situation.

a).If this trend continues, in how many months will the number of DVD's sold each month equal the number of Blu-ray discs sold each month?

To solve this:

DVD's = Blu-ray

920 - 12x = 502 + 26x

Collect like terms

920 - 502 = 26x + 12x

418 = 38x

x = 418/38

x = 11 months

b) How many each disc is sold in that month?

For DVD's

920 - 12x

x = 11

Hence:

920 - 12 × 11

= 920 - 132

= 788 discs

For Blu ray

= 502 + 26x

x = 11

Hence:

= 502 + 26x

= 502 + 26 × 11

= 788 discs

Therefore, 788 discs were sold in each month

Answer:

x=1 -/+ (root 13)

Step-by-step explanation:

Step-by-step explanation:

Use the systematic new AC Method to factor trinomials (Socratic Search)

y

=3x2+7x−6

=3(x + p)(x + q)

Converted trinomial:

y'

=x^2+7x−18

= (x + p')(x + q').

p' and q' have opposite signs.

Factor pairs of (ac = -18) --> (-2, 9). This sum is 7 = b. Then p' = -2 and q' = 9. Therefore,

p ='p/a

= -2/3

and

q ='q/a

=9/3

=3.

Factored form: y = 3(x - 2/3)(x + 3) = (3x - 2)(x + 3)

On solving the provided question we can say that  from the provided data in the graph we have, A"B"C" is a reflection then translation of ABC.

Mathematicians use graphs to logically convey facts or values using the a visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

from the provided data in the graph we have,

A"B"C" is a reflection then translation of ABC.

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Answer: ($2100+96d) + ($2755+116d)

               = $4855+212d

Answer:

x=-9

Step-by-step explanation:

move the variable to the left hand side and change its sign

combine like terms

and then solve like a two step equation

Answer:

x = -9

Step-by-step explanation:

move the terms: you need to move the variable to the left-hand side and change its sign so the new equation would be 2x-3x=4+5

combine like terms: add the x values together and add the integers together the new equation would be -x=9

You need x to be positive so divide both sides by -x to make the x positive and that will you give the answer of -9

Answer:

Therefore, ackrabbits can reach speeds of approximately 59 feet per second.

Step-by-step explanation:

First, we need to convert miles to feet:

40 miles/hour * 5,280 feet/mile = 211,200 feet/hour

Then, we need to convert hours to seconds:

1 hour = 60 minutes/hour * 60 seconds/minute = 3,600 seconds/hour

211,200 feet/hour / 3,600 seconds/hour = 58.67 feet/second

Rounding to the nearest whole number, we get:

59 feet/second

Therefore, ackrabbits can reach speeds of approximately 59 feet per second.

Answer:

18x-15

Step-by-step explanation:

The number of subscribers with land-line phones for any year after 2000, taking into account the 27% annual decline rate.

According to the given information, land-line phones are decreasing at a rate of 27% each year since 2000. This means that each year, the number of subscribers with land-line phones is reduced to 73% (100% - 27%) of the previous year's value.

To create a formula that models this scenario, we start with the initial number of subscribers in the year 2000, which is given as 10,000. We can express this as y(0) = 10,000, where y(0) represents the number of subscribers in the starting year (t = 0).

Based on the decline rate of 27% per year, we can express the relationship between the number of subscribers in a given year (y) and the number of subscribers in the previous year (y-1) as follows:

y = 0.73 * y(t-1)

Here, 0.73 represents the probability of retaining a land-line phone subscription from one year to the next, given the 27% annual decline rate. Multiplying this probability by the number of subscribers in the previous year gives us the estimated number of subscribers in the current year.

By iterating this formula year after year, we can estimate the number of subscribers with land-line phones for any given year after 2000.

For example, let's calculate the number of subscribers in the year 2023, which is 23 years after 2000 (t = 23). Using the formula, we can substitute t = 23 into the equation:

y(23) = 0.73 * y(22)

To find y(22), we substitute t = 22 into the equation:

y(22) = 0.73 * y(21)

We continue this process until we reach the starting year, y(0) = 10,000.

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Complete Question:

With the growing popularity of cell phones, a local phone company had a sharp decline in the number of customers with land-line phones in their homes. Suppose land-line phones are decreasing at a rate of 27% each year since 2000. Assume that there were 10,000 subscribers with land-line phones in the year 2000.

For convenience let t = the number of years after 2000 and y = number of subscribers with land-line phones.

A formula that models this scenario is

The rate of change of the volume of the cube is 0.4s cm³/s

Rate of change is the rate at which a quantity increases or decreases with time.

Since the side of the cube is increasing at a constant rate of 0.2 centimeters per second. Its volume is given by V = L³ where L = length of side of cube.

Now, to find the rate of change of its volume, we differentiate the equation with respect to time, t.

So, V = L³

Differentiating, we have

dV/dt = dL³/dt

= dL³/dL × dL/dt

= 2L² × dL/dt

Since the rate of increase of the side of the cube is dL/dt = 0.2 cm/s, we have that

dV/dt = 2L² × dL/dt

= 2L² × 0.2 cm/s

= 0.4L² cm³/s

We know that the area of a cube s = L². So, substituting this into the equation, we have

dV/dt = 0.4L² cm³/s

= 0.4s cm³/s

So, the rate of change is 0.4s cm³/s

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Answer: 60%

Step-by-step explanation:

(5 × p) / 100 = 3

((5 × p) / 100) × 100 = 3 × 100

5p = 300

5p / 5 = 300 / 5

p = 60

Percent Increase = 60

Answer:

Step-by-step explanation:

6

The present value of the ordinary annuity is 29569 and the periodic payment R is 669.

What is the present value?

In economics and finance, present value, also known as present discounted value, is the value of an expected income stream determined as of the date of valuation.

Here, we have

Given: Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 9%/year compounded monthly. If the future value of the annuity after 10 years is $50,000.

We have to find the present value of the ordinary annuity.

We use the ordinary annuity formula here

A = P{(1+r)ⁿ-1}/r

P = 1200

n = 16

r = 5.5% = 0.055

A = 1200{(1+0.055)¹⁶-1}/0.055

A = 29569

Future value of annuity = 50000

Interest rate per period = interest rate per annum/no.of payment per annum

= 9%/12 = 0.75%

Number of period = 120

Each deposit = FVA/{(1+r)ⁿ-1}/r

=  50000/{(1+0.75%)¹²⁰-1}/0.75%

= 258

Now, P = 18,000, r = 10, x = 6, n = 6

Periodic payment (R) = P(r/n)×(1+r/n)ⁿˣ/(1+r/n)ⁿˣ-1

= 18000(0.167)(1+0.167)³⁶/(1+0.167)³⁶-1

R = 669

Hence, the present value of the ordinary annuity is 29569 and the periodic payment R is 669.

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The value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)] where E is bounded by the parabolic cylinder z=16−y2z=16−y2 and the planes z=0,x=4, and x=−4.

To evaluate the triple integral ∭E \(x^8 e^y\) dV, where E is bounded by the parabolic cylinder z=16−y² and the planes z = 0,x = 4, and x = −4, we can use the cylindrical coordinate system. Here are the steps to solve the integral:

Write down the limits of integration for each variable:

For ρ, the radial distance from the z-axis, the limits are 0 to 4.

For φ, the angle in the xy-plane, the limits are 0 to 2π.

For z, the height, the limits are 0 to 16 - y² for the parabolic cylinder, and 0 to the plane z = 0.

Write the integral using cylindrical coordinates:

∭E \(x^8 e^y\) dV = ∫\(0^4\) ∫0²π ∫\(0^{(16-y^2)\) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz

Evaluate the integral:

∫0²π ∫\(0^4\)(16-y²) (\(\rho^9\) \(cos^8\) φ) (\(e^y\)) ρ dρ dφ dz

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) dφ ∫\(0^{(16-y^2)}\)(\(\rho^{10\) \(e^y\)) dρ dz

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [\((16-y^2)^{11}\) / 11 \(e^y\)] dy dφ

= ∫\(0^4\) ∫0²π (\(cos^8\) φ) [(\(16^{11}\) / 11) \(e^y\) - (11/11) y² (\(16^{10}\)) \(e^y\) + (55/11) \(y^4\) (\(16^9\)) \(e^y\) - ...] dφ

= ∫\(0^4\) (\(16^{11}\) / 11) \(e^y\) [(\(cos^8\) φ) (2π)] dy

= (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)]

Therefore, the value of the triple integral is (\(16^{11}\) / 11) [(\(e^{16}\) - 1) (\(cos^8\) φ) (2π)].

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Answer:

I'm assuming that Otto gave the shopkeeper a certain amount of money to pay for the gloves and is expecting some change back. To calculate how much change he will receive, we need to know the amount of money he gave to the shopkeeper.

Assuming Otto gave the shopkeeper 100 kr to pay for the gloves, we can calculate the change he will receive as follows:

Change = Amount paid - Cost of gloves

Change = 100 kr - 76.70 kr

Change = 23.30 kr

Therefore, Otto will receive 23.30 kr back from the shopkeeper. If he gave a different amount of money, you can simply subtract the cost of the gloves from that amount to calculate the change.

=  − 1 8 9

source: trust me

Answer:

r = -189

Step-by-step explanation:

r/9 + 8 = -13

r/9 = -13 -8

r/9= -21

sum of two negative numbers = negative number

r = -21×9

r= - 189

According the question The approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

Given:

- Sample size (n) = 500

- Probability of being against increasing taxes (p) = 0.35

- Probability of being in favor of increasing taxes (q) = 1 - p = 0.65

Mean (μ) and standard deviation (σ) of the binomial distribution:

\(\[\mu = n \cdot p = 500 \cdot 0.35 = 175\]\)

\(\[\sigma = \sqrt{n \cdot p \cdot q} \approx \sqrt{500 \cdot 0.35 \cdot 0.65} \approx 10.95\]\)

To find the probability of more than 200 people being against increasing taxes, we can use the normal approximation to the binomial distribution. Let's calculate the Z-score:

\(\[Z = \frac{{X - \mu}}{{\sigma}} = \frac{{200 - 175}}{{10.95}} \approx 2.28\]\)

Using a standard normal distribution table or calculator, we find that the probability of \(Z > 2.28\) is approximately 0.0114.

Therefore, the approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

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To find a surface parameterization of the portion of the tilted plane x - y + 2z = 2 that is inside the cylinder x² + y² = 9, we can use cylindrical coordinates.

Let's first parameterize the cylinder x² + y² = 9. We can use the parameterization:

x = 3cosθ

y = 3sinθ

z = z

where θ is the azimuthal angle and z is the height.

Now, let's substitute these parameterizations into the equation of the tilted plane x - y + 2z = 2 to find the parameterization for the portion inside the cylinder. 3cosθ - 3sinθ + 2z = 2 Rearranging the equation, we have:

z = (2 - 3cosθ + 3sinθ)/2

Therefore, the parameterization for the portion of the tilted plane inside the cylinder is:

x = 3cosθ

y = 3sinθ

z = (2 - 3cosθ + 3sinθ)/2

This parameterization describes the surface points that satisfy both the equation of the tilted plane and the equation of the cylinder, representing the portion of the tilted plane inside the cylinder.

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Answer:

The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.