This is my last one, promise..........

Answer:

x = 3, y = - 9

Step-by-step explanation:

5x + 5y = - 30...... (1)

2x - y = 15

-y = 15 - 2x

y = 2x - 15..... (2)

From equations (1) & (2)

5x + 5(2x - 15) = - 30

5x + 10x - 75 = - 30

15x = 75 - 30

15x = 45

x = 45/15

x = 3

Plug x = 3 in equation (2)

y = 2*3 - 15

y = 6 - 15

y = - 9

Therefore,

x = 3, y = - 9

or

(x, y) = (3, - 9)

Answer:

1725c or (17 dollars and 25 cents).

Answer:

Step-by-step explanation:

-7+14=7

D.7

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

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It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.

The person who is using it has passed away so they can't see or feel anything.

:( This is one morbid riddle.

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Step-by-step explanation:

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I ts its 7w496 w4y rs9rr s77

Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

$1500

6 hours

Step-by-step explanation:

There is no one off fee, therefore we got (0,0) a starting point.

(1,125) is representing the first hour of rent, so 1 hour rent costs $125.

There is a direct relationship between the time and rental fee.

As a function is will be:

For x= 12, we get:

So, if f(x) = 750, then:

True

0.75 is greater than 0.5

Explanation

Step 1

remember

then

Step 2

compare

0.75 and 0.5

I hope this helps you

FOR GREATER THAN WE ADD THE TERMS.

MATHEMATICALLY THIS MEANS

\( = 0.75 + \frac{1}{2} \\ = 0.75 + 0.5 \\ = 1.25\)

1.25 is the answer.

Answer:

nn

Step-by-step explanation:

The equation of the sphere is (x-5)² + (y-8)² + (z-3)² = 7².

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.

The general equation of the sphere centered at (a,b,c) with radius r is:

(x-a)² + (y-b)² + (z-c)² = r²

In this case we have (x-5)² + (y-8)² + (z-3) = r²

We know that point (7, 5, -3) satisfies this equation. Taking those three coordinates in the above equation will enable us to determine the radius, r:

(7-5)² + (5-8)² + (-3-3)² = r²  Then:

4+9+36 = r²    r² is then 49, and the radius, r, must then be +7.

In summary, the equation of the given sphere is:

(x-5)² + (y-8)² + (z-3)² = 7².

Then, the equation of the sphere is (x-5)² + (y-8)² + (z-3)² = 7².

Therefore, the equation of the sphere is (x-5)² + (y-8)² + (z-3)² = 7².

The complete question is,

Find an equation of the sphere that passes through the point (7, 5, −3) and has center (5, 8, 3).

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Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:4$

Step-by-step explanation:

Answer:

Local minimum at x = 0.

Step-by-step explanation:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

Answer:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

Answer:

1 minute every mile

Step-by-step explanation:

just divide

The XOR (exclusive or) of two events A and B can be defined as the set of all elements that are in either A or B but not both.

The probability of this event, P(AAB), can be calculated by summing the probabilities of A and B and subtracting twice the probability of the intersection of A and B, as follows:

P(AAB) = P(A) + P(B) - 2P(AnB)

This can be illustrated with a Venn diagram, where A and B are represented by two overlapping circles. The intersection of A and B, AnB, is represented by the overlapping region, and the symmetric difference, AAB, is represented by the non-overlapping regions of A and B.

The probability of AAB can then be calculated by adding the area of the two non-overlapping regions and subtracting twice the area of the overlapping region.

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

  ? = 1000

Step-by-step explanation:

Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.

  \(\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}\)

The missing value in Zarea's work is 1000.

Answer:

Step-by-step explanation:

Answer:

464.4$

Step-by-step explanation:

Since 1 hour makes a total of 15.48$, 30 hours will make 464.4$. Simply Multiply 15.48$ by 30 hours to get your total weeks pay

Answer:

A bus driver makes $15.48 pee hour. Sheila worked 30 hrs . 30× 15.48 = 464.4 dollars

Answer:

area = 6 units²

perimeter = 10.06 units

Step-by-step explanation:

area = 1/2bh

area = 1/2(4)(3) = 6 units²

perimeter = 4.123 + 2.236 + 4.243 = 10.06 units

Answer is d

Step-by-step explanation:

If you multiply a^6 and a it equals a^7

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Answer:

\(\sqrt{21}\)

Step-by-step explanation:

Use the pythagorean theoreom, a^2+b^2=c^2.

We know the hypontenuse and one of the sdes

a^2+2^2=5^2

a^2+4=25

subract four from both sides to isolate variable

a^2=21

square root both sides and you have the answer of sq root 21!

Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem

Answer:

expressionism I just took that test trust you got a workout and English and I'm miss that I hope we close at Johnny's and I'm miss that I hope we close again for the one that was a big deal for me to hit the road and I'm miss that I hope we close again for the one time of day or so he can come over for a lol you want to text cause I'm miss that I hope we close again for the one that was a if he can come over for a lol you want to text Leo and I'm miss that I hope we close again for the one that 5th to text cause I'm miss that I hope.

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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The smallest number of students who go to one of these clubs is 21.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."

Therefore, the smallest number of students who go to one of these clubs is 21.

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