Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?ial factor that led to the Neolithic Revolution?

If r is a nonzero rational number, then r is a product of two irrational numbers.

If q≠0 is rational and y is irrational, then qy is irrational.

: You know that if G

is a group and H≠G

is one of its subgroups then h∈H

and y∈G∖H

implies that hy∈G∖H

Proof: suppose hy∈H

You know that h−1∈H, and therefore y=h−1(hy)∈H

Contradiction

In our case, we have the group (R∗,⋅) and its proper subgroup (Q∗,⋅). By the arguments above q∈Q∗ and y∈R∖Q implies qy∈R∖Q

.

Simply multiply it by the square root of two to obtain an irrational number. A product of two irrational numbers, your original number is obtained by multiplying this irrational number by the square root of two, which is itself irrational.

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Answer:

7q-35

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. First you need your let statement which is mostly the answer to the question:  Let x = the amount of points on the test

2. Then make your proportion.

x/90 = 90/100. This is because 90% is 90/100.

Your answer is: x over 90 = 90/100 (make sure they are fractions. The / is the fraction bar.

The volume of the bead when r = 1 and h = 6 is approximately 4.19 cubic centimeters.

The volume of a bead is a measure of the amount of space it occupies. In mathematics, we often use the formula for the volume of a sphere to calculate the volume of a bead.

In this case, the bead has two parameters: the radius (r) and the height (h). The radius determines the size of the bead while the height determines the length of the cylinder that makes up the bead.

When r = 1 and h = 6, we can substitute these values into the formula for the volume of a sphere to find the volume of the bead:

=> V = (4/3) * π * r³

=> V = (4/3) * π * 1³

=> V =  4.19 cm³

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Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Answer: 25%

Step-by-step explanation:

You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.

Yes the comparison fair because, Sampling is the act or process of choosing a sample from a population. In our everyday practical lives, sampling is frequently used.

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Answer:

56 underwater breathing potions.

Step-by-step explanation:

Written algebraicly, f=m+10 and b=3m+2, with f being flying potions, b being breathing underwater, and m being mind reading potions. We know that f+b+m=102, so replace f and b with the equations. You get m+10 + 3m+2 + m +102. Combine like terms to get 5m+12+102. Subtract 12 from both sides to get 5m=90, and divide both sides by 5 to get m=18. Now take b=3m+2 and replace m with 18. Now you have b=3(18)+2. 3 times 18 is 54, plus 2 is 56. :)

The value of x, considering the area of the composite figure, is given as follows:

x = 4 m.

The surface area of a composite figure is obtained as the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

The area of the figure is of 42 m², hence the value of x is obtained as follows:

6x + 0.5(6)(10 - x) = 42

6x + 3(10 - x) = 42

3x = 12

x = 4 m.

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The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

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Answer: \(337.77\%\)

Step-by-step explanation:

Given

For 70 year old, premium is 79.79 per month

For 80 year old it is 349.30 per month

Percentage increase in premium costs from age 70 to 80 is

\(\Rightarrow \%\ \text{increase}=\dfrac{349.30-79.79}{9.79}\times 100\\\\\Rightarrow \%\ \text{increase}=\dfrac{269.51}{79.79}\times 100\\\\\Rightarrow \%\ \text{increase}=337.77\%\)

Answer:

A. 88 square inches

Step-by-step explanation:

Trust me. It's right.

Answer: M < -3

.................................................

Step-by-step explanation:

4 - 3m > -5

4 - 3m > (-4 -5)

3m > -9

(3/3)m > (-9/3)

m<-3

Answer:

90º

Step-by-step explanation:

Looks like a 90º (or right angle) to me. :)

The answer from me is M

Answer:

Point M

Step-by-step explanation:

Since X is positive and Y being negative you would look in the bottom right quadrant

In this example, there are 110 characters remaining in the message.

As stated in the question, the maximum size of a text message is 160 characters. This means that a message cannot exceed 160 characters, including spaces and punctuation marks. If we want to find out how many characters remain in a message, we need to subtract the number of characters in the message from the maximum allowed characters.

For example, if a message contains 50 characters including spaces, we can calculate the remaining characters as follows:

Maximum size of message = 160

Number of characters in message = 50

Remaining characters = Maximum size of message - Number of characters in message

Remaining characters = 160 - 50

Remaining characters = 110

Therefore, in this example, there are 110 characters remaining in the message.

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Answer:

Option 2

Step-by-step explanation:

For two angles to be adjacent they need to have a common side/ray and a common vertex!

Hope this helps!!!

Answer:

Step-by-step explanation:

In geometry, two angles are adjacent if they have a common side and a common vertex. In other words, adjacent angles are directly next to each other and do not overlap.

->No, the two indicated angles do not share common vertex

The equivalent expression is; 4a^3b(4b - 2a^2b^4 + 3a)

Two expressions are equivalent when you can manipulate one expression algebraically to transform it into the other expression. For example, you can use the distributive property, combine like terms, factor out common factors, or simplify fractions to show that two expressions are equivalent.

We have the expression;

16a^3b^2 - 8a^5b^5 + 12a^4b

4a^3b(4b - 2a^2b^4 + 3a)

It's important to note that sometimes two expressions may look different, but they can be equivalent under certain conditions or constraints.

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Answer:

7/13 is closest to 1/2

Since 1/26 is closest to zero, 7/13 is closest to 1/2.

Answer:

13 65/72 is your answer.

Step-by-step explanation:

Answer:

13 65/72

Step-by-step explanation:

Answer:

<DBC= 78

Step-by-step explanation:

since you already know what they equal all together

subtract 42 from 120

Answer:

SOH CAH TOA

Step-by-step explanation:

Okay use the formula above where by for example SOH means sin°=opposite/hypotenuse

in number 18 opposite is =30

and hypotenuse=50

then your answer is=36.87

a) As per the vector, the minimum polynomial is unique up to associates, meaning that any two minimum polynomials differ only by multiplication by a non-zero scalar.

b) k[α] satisfies all the conditions of being a commutative subring of A.

c) The given statement "k[α] is a field." is false because k[α] may or may not be a field, depending on whether α is algebraic or transcendental over k.

(a) Existence and Uniqueness of the Minimum Polynomial:

The minimum polynomial of α over k is a polynomial of minimal degree in k[x] (the polynomial ring in the variable x with coefficients in k) that annihilates α. In other words, it is the monic polynomial p(x) with coefficients in k of the smallest degree such that p(α) = 0.

To establish the uniqueness of the minimum polynomial, suppose q(x) is another non-zero polynomial in k[x] that annihilates α. We can perform polynomial division on q(x) by p(x), yielding q(x) = p(x) * g(x) + r(x), where g(x) and r(x) are polynomials in k[x] and r(x) has a smaller degree than p(x). Substituting α for x in this equation gives q(α) = p(α) * g(α) + r(α) = 0 * g(α) + r(α) = r(α). Since both q(x) and p(x) annihilate α, r(α) must also be zero. But since r(x) has a smaller degree than p(x), this contradicts the minimality of p(x).

(b) Commutative Subring k[α]:

(i) Subring: A subring of A is a subset that is itself a ring under the same operations. Since A is an algebra over k, it is a ring with respect to addition and multiplication. Since k[α] is a subset of A, it inherits the addition and multiplication operations from A, making it a subring.

(ii) Closure under Addition: Let β, γ be elements of k[α]. By definition, this means that β and γ can be written as polynomials in α with coefficients in k. Let's denote these polynomials as f(x) and g(x) respectively. Then, β = f(α) and γ = g(α). Now, consider the sum β + γ. By performing addition of polynomials, we obtain β + γ = f(α) + g(α). Since addition in A is closed, f(α) + g(α) is an element of A. Therefore, the sum β + γ is also in k[α].

(iii) Closure under Multiplication: Similar to the previous case, let β, γ be elements of k[α], expressed as β = f(α) and γ = g(α), where f(x) and g(x) are polynomials in α with coefficients in k. We can compute the product β * γ as f(α) * g(α). Since A is closed under multiplication, f(α) * g(α) is an element of A. Thus, the product β * γ is also in k[α].

(c) k[α] as a Field:

The statement "k[α] is a field" is generally false. However, there are cases where k[α] can be a field. For k[α] to be a field, it must be both a commutative subring and every nonzero element in k[α] must have an inverse.

In general, for k[α] to be a field, α must be algebraic over k.

If α is algebraic over k, then k[α] is indeed a field. However, if α is transcendental over k (i.e., it does not satisfy any non-zero polynomial equation with coefficients in k), then k[α] is not a field.

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1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:(–0.3, 2.1)

Step-by-step explanation:The graph shows you the solutions for any pair of lines you care about. So, the problem is to figure out which are the lines you care about.

The graph shows you the lines all differ in their y-intercepts. This means you can identify the y-intercepts of the equations of interest, and you will know which lines to look at.

The y-intercept is found by setting x=0 and solving for y:

x +5y = 10

 0 + 5y = 10

 y = 10/5 = 2

3x +y = 1

 3·0 +y = 1

 y = 1

The two lines of interest are the ones that have y-intercepts of 2 (pink) and 1 (blue). They intersect in the 2nd quadrant. Only one answer choice can apply:

 (–0.3, 2.1)

Answer:

A. 4 x - 5 y = - 5 and 3 x + 10 y = - 20

Step-by-step explanation:

if not im sorry

Hunter and three friends spent a total $41 of money.

Addition is the process used to combine things and count them as a single, large group. Addition in mathematics is the process of combining two or more numbers. The term "sum" refers to the result of the process, and "addends" refers to the numbers that are added.

Given, Hunter and three friends were going to the movies.

The movie tickets cost $10 each.

So, cost of movie ticket is 3 times $10 = $30.

And they bought three popcorn at $7.25, and three drinks at $2.75.

That means, the expenditure other than movie is;

$7.25 + $2.75 = $11

To find the total money they spent:

Add all the expenditures,

$30 + $11 = $41.

Therefore, they spent $41.

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Answer:

Q' would be (5, 6)

Answer:

320 pounds sterling

Step-by-step explanation:

All you have to do is $380.80 divided by $1.19 which is equal to one pound sterling. Hope this helps!

Answer:

y=-176/x

y=176/9

Step-by-step explanation:

\(y = \frac{k}{x} \\ - 11 = \frac{k}{16} \\ k = - 176 \\ y = \frac{ - 176}{x} \\ y = \frac{ -176}{ -9} = 19 \frac{5}{9} \)

Answer:

Step-by-step explanation:

9t = 9                We can't see the entire image, but I assume 9 and the number of ts are of the same length. If this assumption is incorrect, please leave a note.