how much plastic wrap will be needed to completly cover and ice cream cone with the slant height of 4.25 inches and a diameter of 2 inches

Answer:

I'm going to say 10 hours

Step-by-step explanation:

I hope this is right. if it is this is what i did

2 1/2 x 4

Answer:

10 hours per week

Step-by-step explanation:

She goes 4 times a week, you can tell you are going to have to multiply by the key word "times" which means multiply. She practices for 2 1/2 hours so then you multiply 2 1/2 by 4 and you get 10, hope this helped always make sure to look for key words in your sentences.

Answer:

10.50 is what she has left to spend

Answer:

10.50

Step-by-step explanation:

subtract 6.50 from 17.00

The required equation of the line is 3x + 2y = 8.

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

The required equation of the line is

(y-4) = (0+6)/(4-8) (x-0)

or, y - 4 = 6/(-4) x

or, y - 4 = -3/2 x

or, 2y - 8 = -3x

or, 3x + 2y = 8

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Answer:

8 tables!

Thanks for clarifying.

Answer:

Width = 9ft.

Length=22ft.

Step-by-step explanation:

Answer:

∠ T = 126°

Step-by-step explanation:

in an isosceles trapezoid

• lower base angles are congruent

• any lower base angle is supplementary to any upper base angle

then

∠ U = ∠ W = 54° , so

∠ T + ∠ U = 180°

∠ T + 54° = 180° ( subtract 54° from both sides )

∠ T = 126°

The correct answer is option a) 0.70L.

To determine the volume of additional pure water, we can use the formula M1V1 = M2V2, where M1 is the initial molarity, V1 is the initial volume, M2 is the final molarity, and V2 is the final volume.

In this case, M1 = 0.0100 M, V1 = 0.15 L, and M2 = 0.00200 M. We need to find V2, which is the final volume.

Plugging in the given values into the formula, we get: 0.0100 M × 0.15 L = 0.00200 M × V2

Solving for V2, we get: V2 = (0.0100 M × 0.15 L) / 0.00200 M = 0.75 L

Since we are looking for the volume of additional pure water, we need to subtract the initial volume from the final volume:

V2 - V1 = 0.75 L - 0.15 L = 0.60 L

Therefore, the volume of additional pure water required is 0.60 L.

The correct answer is option a) 0.70L.

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8 hours is twice as many as 4:

Multiply the number of windows in 4 hours by 2:

32 x 2 = 64 windows in 8 hours

Answer:

64

Step-by-step explanation:

32÷4=8 8 car windows per hour. 8×8=64

The estimated answer of 40 is close to Keira's answer of 38.6. This suggests that her answer is reasonable.

One way Keira can check if her answer is reasonable is to use estimation.

She can round the numbers in the original division problem to the nearest multiples of 10, which makes the calculation easier, and check if the estimated answer is close to her actual answer. That is:

123.52 is approximately 120, and 3.2 is approximately 3. So the division problem becomes:

120 / 3 = 40

This estimated answer of 40 is close to Keira's answer of 38.6, which suggests that her answer is reasonable.

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The expression in terms of x and/or y for

a) angle OAC = y

b) angle OBA = 2x

A circle is a shape consisting of all points in the plane that are at a specified distance from a specified point (center). Correspondingly, it is a curve drawn by points moving in the plane at a constant distance from a point. The distance from any point of the circle to the center is called the radius. Normally the radius should be a positive number.

Specifically, a circle is a simple closed curve that divides a plane into two regions inside and outside. In everyday use, the term "circle" can be used interchangeably to refer to the entire shape, including the boundary or interior of the shape. In strict technical usage the circle is just the boundary and the whole figure is called the disk.

In ΔOCA;

OC = OA  [Radius of circle]

So, m∠OCA = m∠OAC

y = m∠OCA

y = m∠OAC

Similarly in ΔAOB;

m∠OAB = 2x

m∠OAB = m∠OBA

2x = m∠OBA

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The complete question is as follows:

The diagram shows a circle with centre O.

Write an expression in terms of x and/or y for

a) angle OAC.

b) angle OBA.

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Eva has borrowed 150 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:

A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 280 at increments of 40. A straight line joins the ordered pairs 0, 200 and 1, 160 and 2, 120 and 3, 80 and 4, 40 and 5, 0.

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)

Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

-4x - 4y = 16 <== add 4x to both sides

+4x         +4x

-4y = 4x + 16 <== divide both sides by -4

/-4      /-4

y = -x - 4

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

Convert to y=mx+b form

Slope:-

Parallel lines have equal slope

Perpendicular line's slope=1

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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ARCH (Autoregressive Conditional Heteroscedasticity) models are estimated using Maximum Likelihood (ML) estimation. Regarding Question 7, if the model has the given conditional variance function, it corresponds to an ARCH(3) model.

In the case of ARCH models, the ML estimation process involves the following steps:

1. Specify the ARCH model: Determine the appropriate order of the ARCH model by analyzing the autocorrelation and partial autocorrelation functions of the squared residuals (or other suitable diagnostic tests). For example, an ARCH(3) model implies that the conditional variance at time t depends on the squared residuals at time t-1, t-2, and t-3.

2. Formulate the likelihood function: The likelihood function specifies the probability of observing the given data under the assumed ARCH model. In ARCH models, the likelihood function is constructed based on the assumption that the errors follow a normal distribution with mean zero and a time-varying conditional variance.

3. Maximize the likelihood function: The goal is to find the parameter values that maximize the likelihood function. This is typically achieved using numerical optimization techniques, such as the Newton-Raphson algorithm or the BFGS algorithm.

4. Estimate the parameters: Once the likelihood function is maximized, the estimated parameter values are obtained. These estimates represent the best-fitting values that maximize the likelihood of observing the given data.

Therefore, the answer to Question 7 is: ARCH(3).

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There are 6 ways to choose two rotten apples out of a sample of three.

What is algebra ?

Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include the manipulation of equations and formulas using the rules of arithmetic, the solution of equations, and the study of the properties and behaviors of functions.

There are two rotten apples out of 15 total apples, so the probability of choosing a rotten apple is 2/15. The probability of choosing two rotten apples out of a sample of three is (2/15) * (1/14) * (3 choose 2) = (2/455) * 3 = 6/455. So there are 6 ways to choose two rotten apples out of a sample of three.

Hence , There are 6 ways to choose two rotten apples out of a sample of three.

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Answer:

are you having a stroke?

The total monthly payment is $222

The current mortgage rate is 11%

The value of mortgage is $80,000 + 11% of $80,000

= $88,800

The required down payment is 10%

10% of $88,800 = $8,880

The total monthly payment for the 30 year period is:

The total monthly payment is $222

The point of concurrency that is determined by the three altitudes of any triangle is called orthocenter.

In geometry, an orthocenter is the intersection of the altitudes of a triangle. An altitude of a triangle is a line through a vertex of the triangle, perpendicular to the opposite side.

In other words, if you were to draw three lines from the vertices of a triangle down to the opposite sides, and these lines were all perpendicular to their respective sides, the point at which all three lines intersect would be the orthocenter of the triangle.

The orthocenter is one of the four points of concurrency that can be determined in a triangle, along with the circumcenter, the centroid, and the incenter. The circumcenter is the center of the circumcircle of the triangle, the centroid is the center of the triangle's mass, and the incenter is the center of the circle inscribed in the triangle.

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An equation of the line through the point (-4, -2) parallel to y = 14x - 3 is 14x - y = 54.

To find an equation of a line through the point (-4, -2) that is parallel to the line y = 14x - 3, we can use the fact that parallel lines have the same slope.

The given line y = 14x - 3 is in slope-intercept form, y = mx + b,

where m represents the slope.

In this case, the slope is 14.

Since the desired line is parallel to the given line, it will also have a slope of 14.

Therefore, the equation of the line can be written as:

y - y1 = m(x - x1),

where (x1, y1) represents the coordinates of the given point (-4, -2), and m represents the slope.

Substituting the values into the equation, we have:

y - (-2) = 14(x - (-4)).

Simplifying this equation gives:

y + 2 = 14(x + 4).

Expanding the right side of the equation:

y + 2 = 14x + 56.

Finally, rearranging the equation to the standard form, we have:

14x - y = 54.

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Lori made a cake. Her brother ate 3 quarters of it. What decimal best represents 3/4?

We can calculate 3/4 in decimal form by dividing 3 by 4.

This gives us:

Also, we can think of it like that: each quarter is 0.25 of the cake. If he ate 3 quarters, it means that he ate 3*0.25 = 0.75 of the cake.

The answer is option F: 0.75.

Answer:

41

Step-by-step explanation:

Since it is only being reflected, the letters would match up with their primes and still equal the same amount for the sides. Since B'C' is 41, it would mean that BC is 41 too

the total cost of the carpet for Courtney's new house will be $24.89.

To find the total cost of the carpet, we need to multiply the cost per yard by the number of yards.

Cost per yard = $2.62

Number of yards = 9.5

Total cost of carpet = Cost per yard x Number of yards

Total cost of carpet = $2.62 x 9.5

Total cost of carpet = $24.89

what is number?

A number is a mathematical object used to represent quantity, magnitude or a value. Numbers can be used for various purposes, such as counting, measuring, and performing mathematical operations like addition, subtraction, multiplication, and division. Numbers can be classified into different categories, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers, depending on their properties and characteristics. Numbers are an essential part of everyday life and are used in many fields, including science, engineering, economics, and finance, among others.

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Given

Find

derivatives using increment method.

Explanation

Given

replace x and y by

so ,

now divide by

so ,

now taking limit

Final Answer

Therefore , the derivative of the function using increment method is 12x + 10

Angle t is a right angle.

The measure of a right angle (such as angle t) is greater than the measure of an acute angle.

Side pt is longer than side pr in a triangle where angle t is larger than angle r.

Let's analyze the given statements:

m∠ t > m∠ r: This statement implies that angle t is larger than angle r. Given that perpendicular lines form right angles, this statement suggests that angle t is a right angle since it is larger than angle r.

∠ t is a right angle: This statement confirms that angle t is indeed a right angle.

The measure of a right angle is greater than the measure of an acute angle: This statement is true. A right angle measures exactly 90 degrees, while an acute angle measures less than 90 degrees. Therefore, the measure of a right angle is greater than the measure of an acute angle.

pt < pr: This statement is known as the Triangle Inequality Theorem. It states that if two angles of a triangle are not equal, then the side opposite the larger angle is longer than the side opposite the smaller angle. So, if we assume that angle t is larger than angle r, it implies that side pt is longer than side pr in the given triangle.

In summary, the given statements suggest that:

Angle t is a right angle.

The measure of a right angle (such as angle t) is greater than the measure of an acute angle.

Side pt is longer than side pr in a triangle where angle t is larger than angle r.

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Answer:

Step-by-step explanation:

The length of the third side of the triangular garden is 30 meters.

Let,

The length of the third side = x

The length of the first side = 28 meters

The length of the second side = 43 meters

The perimeter of the triangular garden = 101 meters

The perimeter is the sum of the measures of all the sides of a figure.

Perimeter = sum of the three sides of the triangle

Perimeter = 28+43+x

Substitute perimeter=101:

101 = 28+43+x

101 = 71+x (simplify)

30 = x (subtract 71 on both sides of the equation)

Therefore, the triangular garden will have a length of 30 meters if the perimeter is 101 meters.

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One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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