what is the product of x and y values 2x+8y=24 -7x-6y=26

3x^{2}+5 is the area of rectangle .

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.

                 The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

The height of the first rectangle is 2 and the area is 6x^{2}. To get to 6x^{2} you have to multiply by 3x^2.

Similarly, to find the width of the other rectangle you multiply 5 by 2 to get to 10.

The answer is 3x^{2}+5

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Answer:

diagonals bisect each other equally in rectangle

then use the concept of vertically opposite angles

Answer:

x = 120

Step-by-step explanation:

Since the lines are intersecting the the rectangle from the corner we know the angles are all congruent in some way.

now:                      ( look at image for labels)

angle a is also 60 because both side are equivilent

since all triangles are 180 degrees we can find the measure of angle b

60 + 60 + b = 180

angle b = 60

and since we know two angles created by intersecting lines are supplementary angles the sums add up to 180 so

60 + x = 180

x = 120

Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

Answer:

The average GPA would be 1.8

Step-by-step explanation:

Hope this is helpful. I did a test like this exact question and I got it right.

Answer:

beach litter data that had been collected by the TG Marine Litter. ... (e.g. littering fines, voluntary restrictions, additional waste.

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

Answer:

She can paint 17 statues

Step-by-step explanation:

Sorry I don’t really know how to show my work

Answer:

140/8

simplified: 35/2

decimal: 17.5

Step-by-step explanation:

honestly, I don't know how to show my work but I hope this helps.

The value that is 2 standard deviations from the mean is; 130

For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).

Thus;

Calculated value = μ + zσ

where;

μ is mean

σ is standard deviation

Hence, the value that would be +2 standard deviations from the mean is;

Calculated value = 100 + 2(15)

Calculated value = 130

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Answers:

Blue to green - 3:4

Blue to total - 6:25

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Answer:

A) 13!

Step-by-step explanation:

Just answered the question!

Answer:

13

Step-by-step explanation:

Answer A) is correct because it states that the slope is the same which is -3 and has the same y-intercept (Initial Value) which is 4.5 for both.

Step-by-step explanation:

Slope is -3 for Item 1 and Item 2

Y-Intercept is 4.5 for Item 1 and Item 2

Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

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

Step-by-step explanation:

no explanation

Answer:

125°

Step-by-step explanation:

x + 24 is equal to 1.

6 is equal to 4x + 1

1 and 4x + 1 = 180°

x + 24 + 4x + 1 = 180

4x + x + 24 + 1 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

5x/5 = 155/5

x = 31

(angle) 6 = 4x + 1

(angle) 6 = 4(31) + 1

(angle) 6 = 124 + 1

(angle) 6 = 125°

The correct answer to the given question about all of the diagonals drawn from a vertex of an n-gon is option b) n-1

If all of the diagonals are drawn from a vertex of an n-gon, the number of triangles formed is equal to the number of non-diagonal sides of the n-gon. To see why, imagine selecting a vertex of the n-gon and drawing all of the diagonals from that vertex. Each diagonal connects that vertex to a non-adjacent vertex of the n-gon, which splits the n-gon into a series of triangles. The total number of triangles formed is equal to the number of non-diagonal sides of the n-gon, because each non-diagonal side forms one triangle with the selected vertex and one of its adjacent vertices. An n-gon has n sides, so the number of non-diagonal sides is equal to n - 3. This is because each vertex is connected to two adjacent vertices, so there are n - 2 diagonal sides emanating from the selected vertex, and the remaining n - 2 sides are non-diagonal. In addition, there are three sides at the selected vertex that are not counted as non-diagonal sides, so we subtract 3 from n - 2 to get n - 3. Therefore, the answer is (B) n - 1.

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Answer:

= 7/2

Step-by-step explanation:

−

p = 3.5

Step-by-step explanation:

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

If demand deposits are moved into money market deposits, M1: ↓ (Decrease), M2: NC (No Change)

When demand deposits are moved into money market deposits, the impact on the monetary aggregates M1 and M2 can be described as follows:

M1 (Money Supply Aggregate 1):

- ↓ (Decrease)

M2 (Money Supply Aggregate 2):

- NC (No Change)

Moving demand deposits into money market deposits results in a decrease in M1. This is because demand deposits are included in M1 as they are considered readily accessible for making transactions. However, money market deposits are not included in M1 as they typically have more restrictions on withdrawals and are less liquid.

On the other hand, the shift from demand deposits to money market deposits does not affect M2. M2 includes a broader range of financial assets, such as savings deposits, time deposits, and money market mutual funds. Money market deposits are already part of M2, so the overall composition of M2 remains unchanged.

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Answer:

Step-by-step explanation:

The frame --  if it means the box on the outside which has 4 right angles, or the hexagon in the middle which has 0 right angles

a. If you plan on investing it at 8 percent until you have $98,000, you wait  29.03 years from now. the correct answer is A.

b. If you want to have $23,500 in 8 years, you will have to deposit $14,948 today. The correct answer is B

a. To calculate the time needed to reach a future amount and the present value of a deposit, we can use the formulas for compound interest.

Time Calculation:

We can use the formula for compound interest to calculate the time needed to reach a future amount:

FV = PV * (1 + r)^t

Where:

FV = Future value

PV = Present value

r = Interest rate per period

t = Number of periods

In this case:

PV = $15,000

FV = $98,000

r = 8% or 0.08

Rearranging the formula to solve for t:

t = log(FV / PV) / log(1 + r)

Substituting the given values:

t = log($98,000 / $15,000) / log(1 + 0.08)

t ≈ 29.03 years

Therefore, the answer is A) 29.03 years.

b. Present Value Calculation:

To calculate the present value of a deposit needed to reach a future amount, we can use the formula for compound interest:

PV = FV / (1 + r)^t

Where:

PV = Present value

FV = Future value

r = Interest rate per period

t = Number of periods

In this case:

FV = $23,500

r = 0.112% or 0.00112

t = 8 years

Substituting the given values:

PV = $23,500 / (1 + 0.00112)^8

PV ≈ $14,948

Therefore, the answer is B) $14,948.

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A certain plane is described by 2x+3y+4z=16. Find the unit vector normal to the surface in the direction away from the origin.Firstly, we will obtain the coefficients of the x, y and z variables from the equation of the plane:2x + 3y + 4z = 16The coefficients are 2, 3, and 4 respectively.

Now, we will calculate the magnitude of the normal vector, ||N||, using the formula:||N|| = √(a² + b² + c²)where a, b, and c are the coefficients of the x, y, and z variables respectively.||N|| = √(2² + 3² + 4²)= √(4 + 9 + 16)= √29Therefore, the unit normal vector in the direction away from the origin is given by:N = (2/√29) i + (3/√29) j + (4/√29) k. Given the equation of a plane as 2x + 3y + 4z = 16, we have to find the unit vector normal to the surface in the direction away from the origin. Here's how we can do it:To find the unit vector normal to the surface, we first need to find the coefficients of the x, y, and z variables from the equation of the plane. In this case, the coefficients are 2, 3, and 4 respectively.Next, we can use the formula ||N|| = √(a² + b² + c²) to calculate the magnitude of the normal vector, where a, b, and c are the coefficients of the x, y, and z variables respectively. In this case, ||N|| = √(2² + 3² + 4²) = √29.Finally, we can find the unit normal vector in the direction away from the origin by dividing each coefficient by the magnitude of the normal vector, ||N||. Thus, the unit normal vector is:N = (2/√29) i + (3/√29) j + (4/√29) k

Therefore, the unit vector normal to the surface in the direction away from the origin is (2/√29) i + (3/√29) j + (4/√29) k.

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if it wants the measurement of arcJK....

Answer:

ArcJK= 128

Step-by-step explanation:

Circle is 360 degrees

<KL is the diameter which is a straight line equals 180 degrees

Since <KLis also a central angle arcKL equals 180

Take <K (26) and times by two cause its an inscribe angle, 26*2=52

arcJL=52

add both arcKL and arcJL together: 180+52=232

then you take 360-232=128

and 128 is KLarc

Answer:

A

Step-by-step explanation:

If u want to find nathan’s Age then 4f equals to Nathan

If u want to find fred’s age then nathan’s Age plus 27

Hope this helps

Answer:

0.434 seconds

Step-by-step explanation:

Distance = 60 feets 6 inches

Speed of baseball = 95mph

Time taken : distance / speed

6 inches = 0.5 feets

60 feet 6 inches = 60.5 feets

Convert 60 feet 6 inches to miles

1 mile = 5280 feets

x = 60.5 feets

5280x = 60.5

x = 60.5 / 5280

x = 0.0114583 miles

Hence,

60.5 feets = 0.0114583 miles

Hence,

Time taken = 0.0114583 miles / 95 mph

Time taken = 0.0001206 hour

Converting to seconds :

0.0001206 * 3600

= 0.4342105 seconds

0.434 seconds

Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.

CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.

CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.

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The function represents the distance when he uses g gallons on a highway.

The given function is:

If we want to find how far does all drives if he uses 4 gallons of gas, we need to replace g=4.

Then:

Hence, he will be 120 miles away if he uses 4 gallons of gas.

The condition characterized by cyanosis and pain in the fingers due to extreme vasoconstriction in the digits resulting from excessive sympathetic stimulation is called Raynaud's phenomenon.

Raynaud's phenomenon occurs when blood vessels, specifically the small arteries that supply blood to the fingers, constrict excessively in response to cold or emotional stress. This constriction reduces blood flow to the affected areas, leading to cyanosis (bluish discoloration), pain, and numbness in the fingers.

The underlying cause of Raynaud's phenomenon is an imbalance in the autonomic nervous system, particularly an overactivity of the sympathetic nervous system. This system is responsible for the "fight or flight" response and, when stimulated, can cause blood vessels to constrict.

Raynaud's phenomenon is characterized by:
1. Cyanosis: Bluish discoloration of the fingers due to reduced blood flow.
2. Pain and numbness in the fingers.
3. Extreme vasoconstriction: Constriction of small arteries supplying blood to the digits.
4. Excessive sympathetic stimulation: Overactivity of the sympathetic nervous system leads to constriction of blood vessels.
If you experience symptoms of Raynaud's phenomenon, it is essential to consult with a medical professional for proper diagnosis and treatment.

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