sean buys 3 quarts of ice cream he wants to serve as many 1 cup portions as possible.
how many 1 cup portions of ice cream can sean serve?

Answer: 3

Step-by-step explanation:

From the question, we are informed that a club has 3 members and that from the members, the postitions of presidents and vice president have to be filled.

The number of diffrent ways that these 2 posititons can be filled will be:

= 3! / 2!

= (3 × 2 × 1 )/(2 × 1)

= 6/2

= 3 ways

Answer:

i)X IS smaller than -11

ii)

X Is greater than-10

iii)x is greater than 58/4

iv)x is smaller than 7

Step-by-step explanation:

answer are in this type

Answer: 282

Step-by-step explanation:

Answer:

Step-by-step explanation:

Statement:    

Reason:

I added a screenshot of what the triangle would look like. The side lengths don't matter so don't pay attention to that.                

Answer:

∡ABC=Right∡, ∠A=90°, m∠B= 45°

m∠C=180-90-45

m∠C=45°  

Step-by-step explanation:

The expression for the total amount deposited after M months is $100 + $50M.

From the above question, M is the number of months, the expression that shows the total amount deposited after M months can be calculated as follows:

Amount deposited = $100 + $50M

To calculate the total deposit amount after M months, we need to know the monthly deposit amount. Let us denote the monthly deposit amount by D (currency unit).

The formula for total deposits after M months can be written as:

Total Deposits = M * D

In this formula, M represents the number of months and D represents monthly deposits.

Multiply the number of months by the monthly deposit amount to get the total deposit amount after M months.

Total amount deposited after M months = $100 + $50M.So, the expression for the total amount deposited after M months is $100 + $50M.

Question:- Let m be the number of months. Write an expression to show the total amount deposited after m months. 25m Write an expression to show the total amount in Trey's savings account after m months.

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The coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

From the data, we can draw a triangle as shown in the attached picture.

Let the coordination of B is at (0, 0)

The coordinate of point A:

A(x, y):

a = (x + 0)/2

x = 2a

y = 2b

A(x, y): (2a, 2b)

The coordinate of point C:

C(X, Y):

2a = (X + 2a)/2

4a = X + 2a

X = 2a

b = (Y + 2b)/2

Y = 0

Thus, the coordinates of the other vertices are (2a, 2b) and (2a. 0) after using the mid-point theorem.

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Answer:

Step-by-step explanation:

Since this is not factorable, let's just complete the square:

\(x^2+6x=19\\x^2+6x+9=28\\(x+3)^2=28\\x+3=\sqrt{28}\\x=2\sqrt{7}-3\)

Answer:

$10 -$5.50 -x = $2.21

if you want to solve for x do 10-5.50-2.21=x

:D

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

About 13 gallons. Paid $2.76 per gallon rounded

12.762 rounded up is about 13. After tge decimal look at the 7, then 6 next to it. Anything 5 or higher round up. 4 or lower, round down.

Same rules with the amount per gallon.

Step-by-step explanation:

the Domain of the function

=> Df ={1, 3, 5, 7, 9}

the Range of the function

=> Rf ={0, 1, 2, 3, 4}

Domain

set of x values

Range

set of y values

Answer:

26.875

Step-by-step explanation:

\(2 \times \frac{3}{4} \times 7 + 7 \times \frac{5}{8 } \\ \frac{4 \times 2 + 3 \times 7}{4} + \frac{8 \times 7 + 5}{8} \\ \frac{77}{4} + \frac{61}{8} \\ \frac{77 \times 2}{4 \times 2} + \frac{61}{8} \\ \frac{154}{8} + \frac{61}{8} \\ \frac{215}{8} or \: 26.875\)

the answer will be 5,427 because we need to round the six and since 8 is greater that 5, we aproximate 6 to 7

a)  8 is even, the remainder when 3,678 is divided by 2 is 0.

b) The remainder when 3,678 is divided by 5 is 3.

c) The remainder when 3,678 is divided by 7 is 1.

d) 9 is a multiple of 9, the remainder when 3,678 is divided by 9 is 0.

To find the remainder of 3,678 when divided by a certain number, we can use modular arithmetic. In modular arithmetic, we take the remainder of a number when divided by a modulus.

(a) To find the remainder when 3,678 is divided by 2, we simply need to look at the last digit of 3,678, which is 8. Since 8 is even, the remainder when 3,678 is divided by 2 is 0.

(b) To find the remainder when 3,678 is divided by 5, we need to look at the last digit of 3,678 again, which is 8. We then check if 8 is a multiple of 5. Since it is not, we need to subtract the nearest multiple of 5 less than 8, which is 5. So we have 8 - 5 = 3. Therefore, the remainder when 3,678 is divided by 5 is 3.

(c) To find the remainder when 3,678 is divided by 7, we can use the fact that 10 is congruent to 3 modulo 7. This means that if we take the last digit of 3,678 and subtract three times the next-to-last digit, we will get a number that is congruent to 3,678 modulo 7. So we have:

8 - 3 × 7 = -13

Since -13 is negative, we add 7 to it to get:

-13 + 7 = -6

Since -6 is still negative, we add 7 to it again to get:

-6 + 7 = 1

(d) To find the remainder when 3,678 is divided by 9, we can again use the fact that 10 is congruent to 1 modulo 9. So we have:

8 + 7 - 6 = 9

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Answer:

144 cm²

Step-by-step explanation:

Remember: If you are finding the area of a square and are given a side, you can simply square it and it will be the area. Thus:

12 x 12 cm = Area of tile.

=> 144 cm² = Area of tile.

Therefore, 144 cm² is the area.

Hoped this helped.

Answer:

40°

Step-by-step explanation:

The measure of the right angle is 90°.

The measures of the angles 10° and 2x add up to the measure of the right angle.

2x + 10° = 90°

2x = 80°

x = 40°

Answer:

X is 9/2, or 4.5

By defining and solving systems of equations, we will see that:

a) the fraction is 40/56

d) the fraction is 15/21.

We have the fraction 5/7 and we want to write it in different ways.

a) First we want to find a number a/b such that:

a/b = 5/7

a + b = 96

This is a little system of equations, to solve this, first we can rewrite the first equation as:

7a = 5b

Now we can isolate a on the second equation:

a = 96 - b

And replace that on the other equation:

7*(96 - b) = 5b

And now we can solve this for b.

672 - 7b = 5b

672 = 5b + 7b = 12b

672/12 = b = 56

And we know that:

a = 96 - b = 96 - 56 = 40

Then the fraction is 40/56

d) This time we want the denominator to be 9 less than twice the numerator.

in a/b, a is the numerator and b is the denominator.

So this time we have:

a/b = 5/7

b = 2a - 9

We can rewrite the first equation again:

7a = 5b

And then replace the other equation in the right side:

7a = 5*(2a - 9)

And now solve this for a.

7a = 10a - 45

45 = 10a - 7a = 3a

45/3 = a = 15.

And:

b = 2a - 9 = 2*15 - 9 = 21

Then the fraction is 15/21.

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Dilbert's boss was wrong to use the number 40% to assume that the employees were cheating because it only represents a percentage and not the actual number of days that the employees were absent.

In reality, if the workweek is 5 days, then 40% would only be 2 days. Therefore, assuming that the employees were cheating based on this percentage alone is not a fair or accurate assessment. It's important to consider the actual number of days missed by each employee and investigate the reasons for their absence before jumping to conclusions.

While 40% might seem like nearly half of the days in a workweek, it doesn't necessarily imply that employees are cheating. To make a fair assessment, one should consider other factors such as workload, productivity, and employee performance, rather than solely focusing on a percentage.

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The degree of the polynomial is 3, the leading coefficient of the polynomial is 1 and the constant of the polynomial is 8

The polynomial is given as:

f(x) = x3 - 8x2 - x + 8

Rewrite properly as:

f(x) = x^3 - 8x^2 - x + 8

The degree

This is the highest power of the variable

The variable is x and the highest power is 3

Hence, the degree of the polynomial is 3

The leading coefficient

This is the coefficient of the variable that has the highest power

Hence, the leading coefficient of the polynomial is 1

The constant

This is the term without any the variable

Hence, the constant of the polynomial is 8

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Answer:

226.08 ft

Step-by-step explanation:

using the formula for volume of cylinder

πr²h

3.14× 3²×8= 226.08 ft

Triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

(22). by Pythagoras rule;

z = √(5² - 3²) = 4

sin x = 4/5

x = sin⁻¹(4/5) {cross multiplication}

x = 53.1301

y = 180 - (53 + 90) {sum of interior angles of a triangle}

y = 37°

(23). cos 25 = 75/z {adjacent/hypotenuse}

z = 75/cos 25 {cross multiplication}

z = 82.7533

sin 25 = x/82.7533

x = 82.7533 × sin 25 {cross multiplication}

x = 34.9731

y = 180 - (25 + 90)

y = 65°

Therefore, the triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

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The point (11,10) lies on the circle with center (5,2).

The equation of the circle with center (5,2) and point (11,10) is given by \((x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2.\)

Substitute the coordinates of the center and point in the equation and simplify, we get

\((x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2= (x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2= x^2 - 10x + 25 + y^2 - 4y + 4 = x^2 - 22x + 121 + y^2 - 20y + 100= -10x + 25 - 4y + 4 = -22x + 121 - 20y + 100= -10x - 22x = 121 - 25 - 20y + 4y=-32x = 96= x = 3\)

Substitute this value of x in \((x-5)^2 + (y-2)^2 = (x-11)^2 + (y-10)^2\) and simplify, we get

\((3-5)^2 + (y-2)^2 = (3-11)^2 + (y-10)^2= (-2)^2 + (y-2)^2 = (-8)^2 + (y-10)^2= 4 + y^2 - 4y + 4 = 64 + y^2 - 20y + 100= -4y + 8 = -20y + 96= 16 = 16\)

Hence, the point (11,10) lies on the circle with center (5,2).

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complete question

Explain with formula and calculation how a circle with center (5,2) contains the point (11,10).

Answer:

The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.

Step-by-step explanation:

Answer:

2880 degrees.

Step-by-step explanation:

The sum of the measures of any polygon is the number of sides minus two multiplied by 180. A polygon with 18 sides has an interior angle sum of 2880 degrees.

Hope this helps!

Brain-List?

The equation given, 5x + 10y, does not represent the total amount of fiber in a package containing x apples and y oranges.

To calculate the total amount of fiber in a package containing x apples and y oranges, you would need to know the amount of fiber in each apple and orange and the number of apples and oranges in the package.

For example, if each apple contains 3 grams of fiber and each orange contains 2 grams of fiber, and there are x apples and y oranges in the package, the total amount of fiber in the package would be:

Total fiber = (3 grams of fiber per apple)(x apples) + (2 grams of fiber per orange)(y oranges)

Total fiber = 3x + 2y grams

what is number?

A number is a mathematical concept used to represent quantity or magnitude. Numbers can be used to count objects, measure distances or sizes, perform calculations, and describe various other mathematical concepts. The most basic types of numbers are the natural numbers, which include all positive integers (1, 2, 3, ...), and sometimes zero (0) as well. Other types of numbers include fractions, decimals, negative numbers, complex numbers, irrational numbers, and more. Numbers are a fundamental concept in mathematics and are used extensively in many fields, including science, engineering, economics, and finance.

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Answer:

Step-by-step explanation:

(x,y)→(11.2x,11.2y)

Answer:

40°

Step-by-step explanation:

Vertically opposite angles are equal.

\(3x = 120 \\ \frac{3x}{3} = \frac{120}{3} \\ hence \: x = 40\)

Answer:

40

Step-by-step explanation:

In fourth dimension, Let U be the subspace of all vectors of the form (u1,u2,0,0) and V be the subspace of all vectors of the form (0,v2,v3,0).

The dimension of U, V, U ∩ V, U+V are 2,2,1,3 respectively. The basis for each of them are {(1,0,0,0),(0,1,0,0)}, {(0,1,0,0),(0,0,1,0)}, {(0,1,0,0)}, {(1,0,0,0),(0,1,0,0),(0,0,1,0)}.

The dimension of a vector subspace is the number of unique elements required to construct that vector.

U = 2

V = 2

U ∩ V = 1

U+V = 3

A basis is a set of independent vectors which span a vector space, meaning all vectors are a linear combination of the basis vectors. The standard basis of Rn is a choice of very simple basic vectors, which each have 1 in one component and 0 in all others.

U =  {(1,0,0,0),(0,1,0,0)}

V = {(0,1,0,0),(0,0,1,0)}

U ∩ V = {(0,1,0,0)}

U+V = {(1,0,0,0),(0,1,0,0),(0,0,1,0)}

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It is not possible to determine the level of water in the tank using only the given information. To determine the level of water in the tank, we need to know either the height of the water column or the total pressure at the bottom of the tank, which includes the pressure due to the water column and the pressure due to the atmosphere.

Therefore, we can't fill the blank with any value since the problem does not provide any information regarding it. In order to find the level of water in the tank, we need to know either the height of the water column or the total pressure at the bottom of the tank, which includes the pressure due to the water column and the pressure due to the atmosphere.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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