Elise fills a waffle cone with ice cream exactly level to the top of
the cone. If the cone has a diameter of 2 3/8 inches and a height of
6 inches, how much ice cream does the waffle cone hold?

Answer:

\(y=-2x+3\)

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

\(y=mx+b\)

Here

Slope of line m=-2 (for every one step on x-axis line going down 2 step on y-axis)

y-intercept b=3

\(y=-2x+3\)

The value of x that will make the considered parallelogram ABCD a rhombus is 4 units.

Rhombus is a parallelogram whose all sides are of equal lengths.

For this problem, the missing figure is attached below.

We see that the angle between the diagonals is \((3x- 12)^\circ\)

It is given that ABCD is a parallelogram.

For ABCD parallelogram to be a rhombus, its diagonals need to be perpendicular to each other.

Perpendicular lines have 90° angle between them.

Thus, we need:

\((3x- 12)^\circ = 90^\circ\)

Evaluating value of x:

\((3x- 12)^\circ = 90^\circ\\3x - 12 = 90\\\text{Adding 12 on both the sides}\\3x = 102\\\text{Dividing both the sides by 3}\\\\x = 12/3 = 4\)

Thus, the value of x is 4

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Answer:

ANSWER:   x=34

Step-by-step explanation:

E2020

y = 1

5/y+3 + y/y-2 = 5/y+3 * y/y-2

5(y-2) + y(y+3) = 5y^2/(y+3)(y-2)

5y-10 + y^2 + 3y = 5y^2/(y^2-5y+6)

y^2 + 8y - 10 = 0

(y-1)(y+10) = 0

y = 1 or y = -10

However, y = -10 is not a valid solution since it makes the denominator of the original expression equal to 0.

Therefore, the only solution is y = 1.

The volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9 is 54π/5 cubic units.

We can use the method of cylindrical shells to find the volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9.

First, we need to find the height of each cylindrical shell. Since we are revolving the region about the line x = 9, the radius of each shell will be 9 - x.

The height of each shell will be the difference between the upper and lower bounds of the region, which is y = √x and y = 0:

height = √x - 0

= √x

So the volume of each cylindrical shell will be:

dV = 2π(9 - x)√x dx

To find the total volume of the solid, we integrate this expression from x = 0 to x = 9:

V = ∫(from 0 to 9) 2π(9 - x)√x dx

We can simplify this integral by making the substitution u = √x, which gives us:

V = 2π∫(from 0 to 3) (9 - u^2)u^2 du

Expanding the integrand and integrating term by term, we get:

V = 2π(27/5 - 9/3)

= 2π(27/5 - 27/9)

= 2π(162/45 - 135/45)

= 54π/5

Therefore, the volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9 is 54π/5 cubic units.

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To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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1. The rate of change, in this case, is $100 per week.

2. The rate of change, in this case, is $-8 per week.

1. In this situation, the rate of change of Andre's savings account can be modeled using a linear equation of the form - y = mx + b

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money added to the account each week), and

b represents the starting balance.

To find the rate of change, you can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 6 weeks (i.e., $1,600),

y1 represents the starting balance (i.e., $1,000),

x represents the number of weeks (i.e., 6), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 1600 - 1000 = m(6 - 0), which simplifies to 600 = 6m.

Dividing both sides of the equation by 6 gives m = 100, so the rate of change is $100 per week.

2. In this situation, the rate of change of Kiran's checking account can also be modeled using a linear equation of the form y = mx + b,

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money spent from the account each week), and

b represents the starting balance.

To find the rate of change, you can again use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 4 weeks (i.e., $716),

y1 represents the starting balance (i.e., $748),

x represents the number of weeks (i.e., 4), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 716 - 748 = m(4 - 0), which simplifies to -32 = 4m.

Dividing both sides of the equation by 4 gives m = -8, so the rate of change is $-8 per week.

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There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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Answer:

x = 18

Step-by-step explanation:

1: 1/2x - 7 = 1/3x - 4

2: 3/6x - 7 = 2/6x - 4

3: 3/6x = 2/6x + 3

4: 1/6x = 3

5: x = 18

Answer:

Last option...

Step-by-step explanation:

Answer:

The very last one

Step-by-step explanation:

x cannot have two outcomes

Answer:

D

Step-by-step explanation:

A has the rate of change of 3

B has the rate of change of 5

C has the rate of change of 9

D has the rate of change of 20

Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

Answer:

26

Step-by-step explanation: 3x2 =6 then 60-31=29-6=26

The operations used here are as follows:

Addition.

Division.

The order of operations is a collection of rules that must be followed in a particular order while solving an equation.

The evaluation of any mathematical expression, which includes arithmetic operations like addition, subtraction, multiplication, and division, is what we mean when we say "operations" in mathematics.

Here in the question,

For the 2nd step,

10 was added on both the sides of the equation.

So, addition was the property used.

For the 4th step,

3 was divided from both the sides of the equation.

So, division was the property used.

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The formula for K in terms of F is \(K = \frac{5}{9} (F-32) + 273\)

The given expression:

\(F = \frac{9}{5} (K-273) + 32\)

To find the formula for K

The formula for K is obtained by making K the subject of the formula as shown below:

\(F = \frac{9}{5} (K-273) + 32\)

subtract 32 from LHS.

\(F-32 = \frac{9}{5} (K-273)\)

multiply 5 with LHS

\(5(F-32) = 9(K-273)\)

Take numerator 9 to LHS

\(\frac{5}{9}(F-32) = K-273\)

take -273 from RHS to LHS

\(\frac{5}{9}(F-32) + 273 = K\)

Thus the formula for K in terms of F is \(K = \frac{5}{9} (F-32) + 273\)

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If the units were changed and the total sales values were given in dollars instead of millions of dollars, the numbers would be much larger. For example, if the sales of a particular product were $10 million, it would be represented as $10,000,000 instead.

This would not affect the calculation of the average price per unit, as this value is independent of the total sales value.

However, it would make it easier to compare the sales figures of different products or companies, as they would all be expressed in the same units.

It is important to note that when working with large numbers, it is common to use scientific notation or abbreviations to make them easier to read and work with.

For example, $1 million could be written as 1M or 1E6 (where E represents "times 10 to the power of").

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The probability of a carryout order being ready within 20 minutes is approximately 0.5507

We know that the time required for a carryout order to be ready for customer pickup follows an exponential distribution with a mean of 25 minutes. The probability density function for an exponential distribution is given by

f(x) = λe^(-λx)

where λ is the rate parameter

We can find the rate parameter λ using the mean

mean = 1/λ

λ = 1/mean = 1/25 = 0.04

So the probability of a carryout order being ready within 20 minutes is

P(X ≤ 20) = ∫₀²⁰ λe^(-λx) dx

P(X ≤ 20) = [-e^(-λx)]₀²⁰

P(X ≤ 20) = [-e^(-0.04x)]₀²⁰

P(X ≤ 20) = [-e^(-0.8)] - [-1]

P(X ≤ 20) = 0.5507

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The given question is incomplete, the complete question is:

Collina’s Italian Café in Houston, Texas, advertises that carryout orders take about 25 minutes (Collina’s website, February 27, 2008). Assume that the time required for a carryout order to be ready for customer pickup has an exponential distribution with a mean of 25 minutes. What is the probability than a carryout order will be ready within 20 minutes?

Algebra

For example, (x)(x)=x^2

Add the exponents of the variable to get the correct answer.

(k^3)(k^5)=k^8

Answer and Step-by-step explanation:

When two values have the same base, have exponents, and are being multiplied to each other, then we add together the exponents.

So, we are given k to the power of 3, which is multiplied by k to the power of 5. The powers (exponents) are added together to make 8, and the bases combine to be only one of the bases, being k.

So, we are left with the answer being \(k^8\).

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

K. \(\frac{13}{2}\)

Step-by-step explanation:

\(-3(4x-5)=2(1-5x) \\ \\ -12x+15=2-10x \\ \\ 15=2+2x \\ \\ 2x=13 \\ \\ x=\frac{13}{2}\)

Answer:

B wpuld be your answer

Step-by-step explanation:

Its the nearest ft from 70.

Answer:

Option 1

Step-by-step explanation:

Find 2 numbers that multiply to give 16 and sum to give +8 :

These numbers are 4 and 4

Now split +8x into +4x and +4x and factor each part :

x²+4x+4x+16 = 0

x(x+4)+4(x+4) = 0

Keep 1 bracket and the terms outside the brackets make their own :

(x+4)(x+4) = 0

(x+4)²  = 0

Therefore answer will be Option 1

Hope this helped and have a good day

Answer:

$15.25

Step-by-step explanation:

All you have to do is divide 610 by 40

610 ÷ 40 = 15.25

Therefore, $15.25 is how much Sam makes per hour.

Hope this helps ya!

Answer:

11 remainder 1

It was division right?

Step-by-step explanation:

Calculate the distance d(p, q) between p and q.3. If d(p, q) is less than the minimum distance, update the minimum distance variable.4. When all pairs of points have been checked, return the pair of points with the minimum distance.

The brute force approach for the closest pair algorithm is a basic operation that finds the two closest points among the given set of points. This algorithm is simple but requires more time than other approaches. The algorithm's running time is O(n²) for n points and is not appropriate for large datasets because the time complexity would be extremely high. It works by comparing each pair of points and calculating the distance between them. The pair of points with the minimum distance is then returned as the closest pair.Here is how the algorithm works: 1. Define a distance function d(p, q) for points p and q.2. Set a minimum distance variable to an arbitrarily large number.3. For each point p in the set of points: 1. For each point q in the set of points: 1. If p and q are the same point, skip to the next q.2. Calculate the distance d(p, q) between p and q.3. If d(p, q) is less than the minimum distance, update the minimum distance variable.4. When all pairs of points have been checked, return the pair of points with the minimum distance.

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Answer:

The algebraic expression is 6x = 100

Answer:

1 and 2

Step-by-step explanation:

The first and second option,

The others all have a number or variable with exponent which means it's a parabola and linear means straight lines and parabolas are no straight at all.

In Mike's study, the sample is the group of 50 randomly selected professors from colleges or universities in Michigan that he is obtaining salary information from.

The sample is a smaller representative group of the larger population, which in this case is all the professors who work for colleges or universities in Michigan. The population is the group of individuals or objects that the researcher is interested in studying. In this case, the population is the group of all professors in Michigan and their salaries. The goal of the study is to make inferences about the population based on the sample data.

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The inverse of the function f(x) = y = 2x² - 8 is \(y=\pm\sqrt{\frac{x+8}{2} }\).

A function's inverse is a function that reverses the action of a function, say \(f\). If the inverse of f exists, it is denoted by f ⁻¹ and exists only if f is a bijective function.

The domain of a relation's inverse corresponds to the original relation's range. In other words, the inverse's x values are the relation's y values.

Consider the function,

f(x) = y = 2x² - 8

Swapping x and y, to find the inverse.

x = 2y² - 8

Adding 8 on both sides of the equation.

x + 8 = 2y² - 8 + 8

2y² = x + 8

Dividing each side of the equation by 2.

y² = ( x + 8 )/ 2

Taking the square root of the equation.

\(\sqrt{y^{2}}=\pm\sqrt{\frac{x+8}{2} }\)

\(y=\pm\sqrt{\frac{x+8}{2} }\)

The inverse of the function f(x) = y = 2x² - 8 is \(y=\pm\sqrt{\frac{x+8}{2} }\).

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

Answer: 18. 75

Step-by-step explanation:

plz follow my table format here i will be delighted to share

cp  percent  fraction   sp

          -12         88/100  16. 50

100*16.50 /88= 18.75