Sam spends 12.5% of his day doing homework. There are 24 total hours in one day.Which proportion could be used to caculate the number of hours Sam spends doing homework?A.) 12.5/100 = x/24B.) 24/100 = x/12.5 C.) 12.5/24 = x/100D.) 12.5/100 = 24/x

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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Answer:

Hello there, I think this is the answer

a = - 2

b = - 9

Answer:

208 cm^2

Step-by-step explanation:

(6x8x0.5x2) + (4x8x2) + (10x3) + (8x3) + (10x3) + (4x3) = 208

Answer:

  y = -4(x +2)² +7

Step-by-step explanation:

You want the equation of the parabola with vertex (-2, 7) that passes through point (-1, 3).

The vertex form of the equation of a parabola is ...

  y = a(x -h)² +k . . . . . . . . vertex (h, k)

We can use (x, y) = (-1, 3) and (h, k) = (-2, 7) to find the value of 'a'.

  3 = a(-1 -(-2))² +7 = a +7

  -4 = a . . . . . . . . subtract 7

Then the vertex form equation for the parabola is ...

  y = -4(x +2)² +7

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Answer: y = -2/5x + 4

Steps:

First find the slope of the equation y=mx+b.

slope equation (m=y2-y1/x2-x1)

Then plug in your coordinates, which the first set is (5,2) and the second set if (-5,6). m = 6 - 2/ -5 - 5

Which your answer will be 4/-10, simplify it by dividing both by 2 to get -2/5 for your slope.

Next, find your y-intercept (b).

substitute the first set of coordinates into the equation y=mx+b

Substitute: 2 = -2/5 (5) +b

Then multiply -2/5 with 5 to get (-2). Your equation should now reduce to be

2 = -2 +b

Do inverse operations on both sides by adding 2 to each side (the 2 side and the -2+b side).

This gets rid of the -2 and since we added 2 to both sides, your final equation should look like 4 = b for your y-intercept.

Plug in everything to get y = -2/5x + 4

Monthly Mortgage Payment is $495.88

Mortgage is a long-term amortized loan where loan is provided to buy certain capital asset and pay back total sum due in small periodic annuities. In Mortgage title of asset lies with lender and passes to borrower after complete mortgage payment.

Hence,

Mortgage Amount is $77,000

Monthly Payment for each $1,000 is $6.44

Monthly Mortgage Payment is $495.88

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Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

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well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

In response to the given question, we can state that Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.

Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.

Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.

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The value of f(1) by using the attached graph is f(1) = -2.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

The graph shown in the question is representing the function value,

To find f(1) = ?

The value of f(1) will be equal to the value of x as the graph is linear so,

f(1) = value of y at x = 1

value of y at x = 1 = -2  (From the graph)

Thus, f(1) = -2.

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The Screamer could have rotated either about -2.87 degrees or 357.13 degrees from its starting position.

Circumference is the distance around the edge of a closed curve or a circle. It is the length of the boundary of a circular object or shape. In other words, it is the total length of the circular shape.

We can use trigonometry to determine the rotation's angle. The rider's height above the ground is equal to the ferris wheel's radius plus the distance travelled around its circle. Let's call the angle of rotation we're trying to find θ.

The distance traveled along the circumference of the wheel can be calculated as follows:

distance = θ/360 * 2πr

where r is the radius of the wheel. Substituting the given values, we get:

95 = 100 + θ/360 * 2π(100)

Simplifying the equation:

θ/360 = (95-100)/(2π(100))

θ/360 = -0.007957747

θ = -2.8661 degrees or 357.1339 degrees

So there are two possible answers: The Screamer could have rotated either about -2.87 degrees or 357.13 degrees from its starting position.

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Simplifying this fraction gives us 1/4. The answer is (D) 1/4.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

Let's start by finding the fraction of Michelle's patients who are under 12 or over 65. We know that one-third of her patients are under 12, so two-thirds must be 12 or older. Similarly, five-twelfths of her patients are over 65, so seven-twelfths must be 65 or younger.

Now, we want to find the fraction of Michelle's patients who are between 12 and 65. To do this, we need to subtract the fraction of patients who are under 12 or over 65 from 1 (since these are the only two age groups we're considering).

Fraction of patients under 12: 1/3

Fraction of patients over 65: 5/12

Fraction of patients 12 to 65: 1 - 1/3 - 5/12

We can simplify this expression by finding a common denominator:

Fraction of patients 12 to 65: 12/12 - 4/12 - 5/12

Fraction of patients 12 to 65: 3/12

Simplifying this fraction gives us 1/4. Therefore, the answer is (D) 1/4.

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Answer:

0.234

Step-by-step explanation:

The total number of people in the age range from 30-49 is 7282 (3752 + 3530 the totals at the bottom of the column.  The total number of people out of that group that have completed high school is 1704 (787 + 917 the number of people in that column that have finished high school).

\(\frac{1704}{7282}\) = .23400164789  Rounded to the nearest thousandths place is .234

SOLUTION

We want to find the missing endpoint T in the line RT, given the point R(-9, 4) and the mid-point S(2, -1)

Since S is the mid-point, we will use the mid-point formula

This becomes

This follows that

and

Hence the answer is

Answer: 36.9

Step-by-step explanation:

One possible answer is 8H + 4L = 512

=======================================================

Explanation:

H and L are placeholders for positive whole numbers, or 0 could replace either variable.

1 high resolution photo takes up 8 mb of space, so H of them take up 8H megabytes of space.

1 low resolution photo takes up 4 mb of space, so L of them take up 4L megabytes.

Overall, the two types of photos take up 8H+4L megabytes, which is equal to 512 since that's the max capacity. That leads to the equation 8H+4L = 512

----------------------------------

Extra info:

There are other ways to express the equation 8H+4L = 512. We could divide each part by 4 to get 2H+L = 128, but I think this equation loses its descriptive quality in a way. We no longer can see that each high resolution photo takes up 8 megabytes (instead we might mistakenly think only 2 megabytes are used per high resolution photo). A similar mistake may happen with the low resolution photos also.

The equation 2H+L = 128 can be rearranged into L = -2H+128 when solving for L.

Answer:

184320 Cubic Cenimeters

Step-by-step explanation:

The solution to the equation is x = 2 7/18

From the question, we have the following parameters that can be used in our computation:

3x + 2/3 =7 5/6

Solve the equation by first subtracting 2/3 from each side

So, we have

3x = 7 1/6

Divide both sides of the equation by 3

This gives

x = 2 7/18

Hence, the solution is 2 7/18

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Answer:

F is the answer lol bye okay A

Answer:

52.6

Step-by-step explanation:

263/5=52.6

Answer:

53

Step-by-step explanation:

You must take 263 and divide it by 5

263/5 = 52.6

So, 5 times 52 = 260

BUT 5 times 53 = 265.  You would need 53 fish bowls

The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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Answer:

Its 300.

hope this helps:)

Answer:

3

Step-by-step explanation:

I tried 300 and i got it wrong but instead it gave me this answer :)

Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated

The requried population increased by approximately 60.53%.

To find the absolute increase, we subtract the initial population from the final population:

Absolute increase = Final population - Initial population

Absolute increase = 6100 - 3800

Absolute increase = 2300

Therefore, the population increased by 2300 people.

To find the relative increase, we first calculate the percent change:

Percent change = (New value - Old value) / Old value x 100%

Percent change = (6100 - 3800) / 3800 x 100%

Percent change = 2300 / 3800 x 100%

Percent change = 60.53%

Therefore, the population increased by approximately 60.53%.

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Answer: The expression would look like this p/9 (2)

Step-by-step explanation: You should make it a fraction by putting the p on top and 9 on bottom and in parentheses you put in the 2!

Hope this helped! :D

Answer:i dont know sorry

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

The square represents 90 degrees.

A triangle’s three angles ALWAYS adds up 180.

To find the missing angle:

180 - 90 = 90

90 - 19 = 71.

Therefore, the answer is 71

Answer:If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Choose the correct answer below. A. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking, which is an estimate. Check to see if solving each of the new equations gives values of x  that are close to each other. If they are too far from each other, you may need to reexamine the table and graph. B. Input the answer into each expression and simplify. Check to see if the result gives exactly the same number on each side. If the numbers are not exactly equal, you may need to reexamine the table and graph. C. Input the answer into each expression and simplify. Check to see if the result, which is an estimate, gives numbers on each side which are close to each other. If they are too far from each other, you may need to reexamine the table and graph. D. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking. Check to see if solving each of the new equations gives exactly the same values of x . If they are not equal, you may need to reexamine the table and graph.

Step-by-step explanation: