a local ice cream shop has a special deal on thursdays: buy a waffle cone for $3 and get each scoop of ice cream for $1.50. what would be the rate of change in this word problem?

Answer:

31/3/2/3=31×3/3×2=93/6=15.5

Answer:

5

Step-by-step explanation:

Hope this helps!

Answer:

Answer:

Raff = 38

Suzie = 19

Step-by-step explanation:

Raff gets 2x

Suzie gets x

2x + x = 57 dollars

3x = 57 dollars

x = 19 dollars

2x = 38 dollars

Therefore, the equation for the ellipse is: 16x^2 + 12.25y^2 = 16.

To find the equation for an ellipse with its center at the origin, a horizontal major axis of length 8, and a minor axis of length 7, we can use the standard form of the equation for an ellipse:

(x^2 / a^2) + (y^2 / b^2) = 1

Where 'a' represents the semi-major axis and 'b' represents the semi-minor axis.

In this case, since the major axis is horizontal and has a length of 8, the value of 'a' is half of the major axis length, which is 8/2 = 4.

Similarly, the value of 'b' is half of the minor axis length, which is 7/2 = 3.5.

Plugging these values into the equation, we get:

(x^2 / 4^2) + (y^2 / 3.5^2) = 1

Simplifying, we have:

(x^2 / 16) + (y^2 / 12.25) = 1

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If the standard deviation of sales is equal to some value, we can calculate the variance by squaring the standard deviation.

to answer the question, we need to understand the relationship between standard deviation and variance. the variance is the average of the   square   d differences from the mean, while the standard deviation is the square root of the variance.

in the concert sales dataset (containing sample data), the standard deviation of sales is equal to question 22select one: a. square of the mean sales value b. square of the variance of sales c. square root of the mean of sales d. square root of the variance of sales

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there are 7140 ways to form groups of 3 individuals out of 36 students.

To form a group of 3 individuals out of 36 students, we can use the combination formula:

C(36, 3) = 36! / (3! (36 - 3)!) = 36! / (6! 30!) = (36 × 35 × 34) / (3 × 2 × 1) = 7140

what is combination ?

In mathematics, combination refers to the selection of a subset of objects from a larger set, without regard to the order in which the objects appear. The number of possible combinations is determined by the size of the larger set and the size of the subset being selected.

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The total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d. To calculate the total amount to be paid, we need to consider the compounded interest on the borrowed amount.

The nominal interest rate of 12% compounded quarterly means that interest is added to the principal four times a year. Using the formula for compound interest, we can calculate the future value of the loan. The formula is given as:

Future Value = Principal * (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods * Number of Years

In this case, the principal is $7,500, the nominal interest rate is 12% (or 0.12), the number of compounding periods per year is 4 (quarterly), and the number of years is 10.

Plugging in these values into the formula, we get:

Future Value = $7,500 * (1 + (0.12 / 4))^(4 * 10) = $24,465

Therefore, the total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d.

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The variance of the length of the critical path is 5.76.

Option A is the correct answer.

We have,

To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:

Variance = (Standard Deviation)²

Given that the standard deviation is 2.4, we can substitute it into the formula:

Variance = (2.4)² = 5.76

Therefore,

The variance of the length of the critical path is 5.76.

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Answer:

If the game with 3 hits is ignored the data becomes:

a) The mean will increase.

With 3:

Without 3:

b) The median will remain as is.

By using trigonometry, it can be calculated that

Value of x is 23.775

What is trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are

\(sin \theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta\)

\(sin\theta = \frac{perpendicular}{hypotenuse}\)

\(cos\theta = \frac{base}{hypotenuse}\)

\(tan\theta = \frac{perpendicular}{base}\)

\(cot\theta = \frac{base}{perpendicular}\)

\(sec\theta = \frac{hypotenuse}{base}\)

\(cosec\theta = \frac{hypotenuse}{perpendicular}\)

Trigonometry is a very important tool in mathematics.

Here, trigonometry is used

From the figure,

cos 18 = \(\frac{x}{25}\)

0.951 = \(\frac{x}{25}\)

x = 0.951 \(\times\)25

x = 23.775 cm

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Complete Question

what is the value of x in this triangle? enter your answer in the box. x

x = cm

A right triangle. The hypotenuse is labeled as 25 centimeters. The base is labeled as x. The alternate base angles are labeled as right angle and 18 degrees, respectively.​

The series expansion of \(tan^{(-1)}(x)\) can be used to approximate the definite integral of the function over a given interval.

∫\([a, b] tan^{(-1)}(x) dx\)=∫\(= [a, b] (x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...)\)

To approximate the definite integral of tan^(-1)(x) using a series, we can use the Taylor series expansion of the arctangent function. The Taylor series expansion of tan^(-1)(x) is given by:

\(tan^{(-1)}(x) = x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...\)

The accuracy of the approximation depends on the number of terms used in the series. The more terms included, the more accurate the approximation will be.

Let's say we want to approximate the definite integral of tan^(-1)(x) over the interval [a, b]. We can rewrite the integral as the limit of a series:

To approximate the integral, we can truncate the series after a certain number of terms and integrate each term individually over the interval [a, b]. Then, we sum up the results of each term to get the approximate value of the integral.

The accuracy of the approximation can be improved by including more terms in the series or by decreasing the interval [a, b] to a smaller subinterval.

It's important to note that the accuracy of the approximation depends on the choice of interval [a, b] and the number of terms used in the series. The more terms included and the smaller the interval, the more accurate the approximation will be.

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The probability of drawing a red 7 and black face card is P ( A ) = 1/221

Given data ,

Let the probability of drawing a red 7 and black face card be P ( A )

Now , the compound probability is given by\

The number of red 7 cards = ( red of diamonds 7 + red of hearts 7 )

Probability of drawing a red 7 = 2/52

Now , the card is not replaced , so the total number of remaining cards = 51

And , number of black face cards = 6

Probability of drawing a black face card = 6/51

So , P ( A ) = 2/52 ( 6/51 )

P ( A ) = 12 / 2652

On simplifying , we get

P ( A ) = 1/221

Hence , the probability is P ( A ) = 1/221

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Answer:

000000004.8

Hope it help!

According to the given information, (yn) is convergent.

What is the convergence and divergence of the sequence?

Convergence: A sequence approaches a fixed number as the number of terms increases.

Divergence: A sequence does not approach a fixed number as the number of terms increases.

Yes, (yn) is convergent.

Since (xn) is a convergent sequence, it has a limit L, which means that for any ε > 0, there exists an N such that |xn - L| < ε for all n ≥ N.

Now, let ε > 0 be given. Then, there exists an M such that |xn - yn| < ε for all n ≥ M.

Combining these two inequalities, we have:

|yn - L| = |yn - xn + xn - L|

≤ |yn - xn| + |xn - L|

< ε + ε (for all n ≥ M)

Therefore, we have shown that for any ε > 0, there exists an M such that |yn - L| < 2ε for all n ≥ M.

Since 2ε can be made arbitrarily small by choosing ε small enough, this implies that (yn) converges to L, the limit of (xn).

Hence, (yn) is also convergent.

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The volume of his barn is calculated as:

= 40,000 cubic feet.

The barn as seen in the image attached below comprises of a rectangular prism and a triangular prism. Therefore:

Volume of the barn = (volume of rectangular prism) + (volume of triangular prism).

Volume of triangular prism = 1/2(base * height) * length of prism

= 1/2(40 * 10) * 50

= 10,000 cubic feet.

Volume of the rectangular prism = length * width * height

= 50 * 40 * 15

= 30,000 cubic feet.

Therefore, volume of his barn = 30,000 + 10,000 = 40,000 cubic feet.

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1. The inequality when the distance between 2 and 5 times a number is no less than 8 is 1. |5x−2|≥8

2. The correct option is A. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥  <  >   ≤.

The distance between 2 and 5 times a number is no less than 8.

Let the number be x

This will be |5x−2|≥8. The correct option is 1.

For the second question, it should be noted that Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R. The correct option is A.

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The histogram doesn't support Alfonso's claim and the correct option is 5: No, the distribution is skewed to the left with a mean age greater than 36.

What is a histogram?

A histogram is a graphic depiction of a frequency distribution with continuous classes that has been grouped. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.

Consider the given histogram at the photo below. It is an left-skew histogram, since it has a long tail to the left side.

We need to estimate the mean of the given data. To do so, we need to multiply each class midpoint with its probability, and sum them.

For example, for the first one, the midpoint is 32 and the probability is 0.03 (read the value on the y-axis). For, the second one, the midpoint is 33 and the probability is 0.04, for the third the midpoint is 34 and the probability is 0.05, and so on. All needed values are presented below.

1. midpoint = 32, probability= 0.03

2. midpoint = 33, probability = 0.04

3. midpoint = 34, probability = 0.05

4. midpoint = 35, probability = 0.1

5. midpoint = 36, probability =0.11

6. midpoint = 37, probability = 0.13

7. midpoint = 38, probability = 0.2

8. midpoint = 39, probability = 0.09

So, it is obtained that -

μ = 0.03 · 32 + 0.04 · 33 + 0.05 · 34 + 0.10 · 35 + 0.11 · 36 + 0.13 · 37 + 0.25 · 38 + 0.20 · 39 + 0.09 · 40

μ = 37.15

Therefore, this histogram is left-skewed with mean greater than 36.

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The time it takes for gaussian elimination to work on a system of equations is directly related to the number of equations in the system.

Gaussian elimination is a method used in linear algebra to solve systems of linear equations. It involves manipulating the coefficients of the equations in a specific way so that the solution is easier to find.

When comparing a system of 1000 equations to a system of 500 equations, the time it takes for gaussian elimination to work on the larger system is significantly longer.

This is because the number of operations required to solve the system increases as the size of the system increases.

To be more specific, the number of operations required for gaussian elimination is proportional to the square of the number of equations in the system.

This means that if a system of 500 equations requires 1000 operations, a system of 1000 equations would require 2000 operations.

So, we can expect gaussian elimination to take about twice as long to work on a system of 1000 equations compared to a system of 500 equations.

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The number of ways that a book can be chosen from all the books can be determined by using combination.

Combination is a method of choosing items from a set in a way that order of selection does not matter. It refers to the combination of n items taken k at a time without repetition. From example, selection of food, menu, subjects, etc.

A combination is the selection of r items from a set of n items without replacement and where order is unimportant.

nCr=n!/r!(n-r)!

Where n! = 1*2*3*….*n

In the given situation, r = 1(number of books to be chosen) and n=10(total number of books)

10C1=10!/1!(10-1)!

10C1=10!/1!(9)!

10C1=(10*9!)/1!(9)!

10C1=10

The number of ways to choose a book from the ten books is 10.

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Answer:

6π

24π

54π

96π

Step-by-step explanation:

Cone 1:

Height, h= 18 meters

Radius, r = 1

Volume of cone 1 = πr²h/3

= (π * 1² * 18)/3

= (π * 1 * 18)/3

= 18π/3

= 6π

Cone 2:

Height, h= 18 meters

Radius, r = 2

Volume of cone 2 = πr²h/3

= (π * 2² * 18)/3

= (π * 4 * 18)/3

= 72π/3

= 24π

Cone 3:

Height, h= 18 meters

Radius, r = 3

Volume of cone 3 = πr²h/3

= (π * 3² * 18)/3

= (π * 9 * 18)/3

= 162π/3

= 54π

Cone 4:

Height, h= 18 meters

Radius, r = 4

Volume of cone 4 = πr²h/3

= (π * 4² * 18)/3

= (π * 16 * 18)/3

= 288π/3

= 96π

The statement "if a > √n and b > √n, then n ≠ ab" is saying that if two positive integers, a and b, are both greater than the square root of another positive integer n, then the product of a and b is not equal to n. This statement can be proven by contradiction.

Suppose the opposite is true, and that n = ab, where a and b are positive integers such that a > √n and b > √n. Then, because n = ab, we have n/a = b and n/b = a. But because both a and b are greater than the square root of n, we have √n < a and √n < b. This leads to a contradiction, because it means that n/a = b > √n, but √n is the largest possible value of b such that b < n/a.

Thus, we have proven that if a > √n and b > √n, then n cannot equal ab, and our original statement is true.

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Answer:

h=11x3

Step-by-step explanation:

trust me, I have done this problem already

Answer:

-16/5

and -9/4

Step-by-step explanation:

multiplying fractions means multiplying straight across and simplifying

Answer:

_16/5

_27/8

Step-by-step explanation:

I hope to help you

Answer: -6

Step-by-step explanation:

Answer:

5 + (1/x)

Step-by-step explanation:

(3x - 4x + 2) - (7x - 10x - 8x)

3x - 4x + 2 - 7x + 10x + 8x

(3x - 4x - 7x + 10x + 8x) = 10x

10x + 2

  10x + 2     10x        2               1

  ---------- = ------- + ------- = 5 + ------

      2x          2x        2x              x

I hope this helps!

Answer:

0.5 or 1/2

Step-by-step explanation:

\(\frac{2}{4}\) simplify by 2 on both sides \(\frac{1}{2}\)

or

see attached

Answer:

\((6x + 3)\degree = 81\degree \\ \{{ \sf{corresponding \: angles \}}} \\ 6x = 78 \\ { \boxed{ \boxed{x = 13}}}\)

Jayden's work rate is twice Chandra's work rate, and, the rooms cleaned

by Jayden is twice the number of rooms cleaned by Chandra.

Response:

Number of rooms in the house = 12

The time that Jayden takes to clean the house = 6 hours

Time that it takes Chandra to clean the house by herself = 12 hours

Time it takes both of them to clean the house = 4 hours

Required:

The number of rooms that Jayden clean and the number of rooms that

Chandra cleans when they work together.

Solution:

Given that the time it takes Jayden to clean the house is half the time

taken by Chandra.

Therefore;

The number of rooms Jayden cleans in 4 hours is twice the number of rooms cleaned by Chandra, which gives;

Ratio of the number of rooms cleaned by Jayden to the number cleaned by Chandra is 2 : 1

Total number of rooms cleaned = 12

\(Number \ of \ rooms \ cleaned \ by \ Jayden = \dfrac{2}{2 + 1} \times 12 = \underline{8 \ rooms}\)

The number of rooms cleaned by Chandra = 12 - 8 = 4 rooms

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Answer:

Step-by-step explanation:

Use the distributive property.

Use the foil method formula.

Distributive property:

⇒ A(B+C)=AB+AC

Foil method formula:

\(\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}\)

→ 2x*3x+2x*4-3*3x-3*4

Solve.

\(\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}\)

I hope this helps you! Let me know if my answer is wrong or not.

The 8 bushels of apples cost is $63.60 i.e, option(A.)

What do you mean by Cost ?

           Cost (c) : is the total cost of the purchase.

           Rate (r) : is the cost of each individual item.

            Number (n) : is the number of items you want to purchase.

      These are related in the following way:

      c = n * r

Given,

Bushels of apples cost = $7.95

8 bushels of apples cost will be = $7.95 * 8

                                                     = $63.6 or $63.60

Hence, the 8 bushels of apples cost is $63.60 i.e, option(A.)

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