Select the correct answer. Which statement is true for the vertical number line? OA 23 is located below – 33 OB. -4 is located below 4 O c. 3.25 is located above 3.75. OD. - is located below 3 2 O E. O is located below -0.87.​

Answer:

(x - 7)(x + 4)

Step-by-step explanation:

Note that 4 times 7 is 28, and that -7x + 4x = -3x.

Therefore, x^2 - 3x - 28 factors into (x - 7)(x + 4)

The factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Writing a number or any mathematical object as the result of several factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.

The factorization will be done as below:-

x² – 3x – 28

Split the middle term as 7 and 4.

x² – 7x  +  4x – 28 = 0

x ( x - 7 ) + 4 ( x -7 ) = 0

Take x-7 common from the whole equation.

( x - 7 ) ( x + 4 ) = 0

Therefore, the factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).

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Ella sold 37 necklaces for $20 each at the craft fair. She is going to donate half of the money she earned to charity. Use the Commutative Property to mentally find how much money she will donate. Explain the steps you used.

Solution:

Earning from 1 necklace=$20

Earning from 37 necklaces=$20*37

Half of the earnings= Half of the earnings=$10*37

Now, Applying Commutative Property, a*b=b*a

So, Money she needs to donate= Half of the earnings= 10*37 =37*10

So, Money she donates=$370

the money she will donate=$370

Hope this helps!

The probability that Rosa's mom chooses sausage and onion is: 1/8C₂.

Probability refers to the chance of an event occurring. It is given by the formula: number of favorable outcomes/number of total outcomes. The total number of groups from which Rosa's mom can make her choice is 1 and this is the number of favorable outcomes.

But, the total number of outcomes that Rosa can hope to expect are 2 two toppings(sausage or onions) out of 8. So, the selected answer is the representation of the probability.

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Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

\(a_{n}\) = a₁\((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = \(\frac{64}{729}\) ( take the cube root of both sides )

r = \(\sqrt[3]{\frac{64}{729} }\) = \(\frac{4}{9}\) , then

a₂ = 729 × \(\frac{4}{9}\) = 81 × 4 = 324

a₃ = 324 × \(\frac{4}{9}\) = 36 × 4 = 144

Thus

729, 324, 144, 64

The question that will result in discrete quantitative data is:

how much did you spend at the movies today?

Discrete quantitative data refers to data that can take only a given set of numeric values (not like continuous quantitative data, where the data can take "any real value").

So, a question like "what genre of movie is your favorite?" is not the correct option, because the answer to that question will not be a number.

"did you order anything from the concession stand?" The answer to this question is also not a number, so this is also wrong.

Now, the correct option is "how much did you spend at the movies today?".

Here the answer will be a quantity (a number) and that number only can be a multiple of the objects that are sold on the cine theater (food, tickets, etc) so that number belongs to a discrete set.

Thus, we conclude that this question is the correct option.

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Answer:

C) How much did you spend at the movies today?

Step-by-step explanation:

edge 2023

Answer:

k = -1

Step-by-step explanation:

-3k + 6 = 10 + k

combine similar terms:

-3k - k = 10 - 6

simplify:

-4k = 4

simplify:

k = 4 / -4

k = -1

Answer:

-1=K

Step-by-step explanation:

You take the -3k and add 3k to both sides to get 6=10+4k, Then you take 10 away on both sides to get -4=4k, finally you divide 4 on both sides to get the variable (k) by itself so your answer is -1

Amber earns more than Svetlana.

The wages of Amber and Svetlana must be contrasted in order to discover who makes more money.

Let's determine each person's earnings:

Amber:

13 necklaces are created per hour.

Each necklace costs £0.58.

Earnings per hour = Number of necklaces made per hour × Cost of each necklace

= 13 × £0.58

= £7.54 (rounded to two decimal places)

Svetlana:

Worked 38 hours; earned £285 for 38 hours.

Let's compare their salaries now:

While Svetlana receives a set payment of £285 for 38 hours of labour, Amber is paid £7.54 per hour.

We must compare their hourly rates to ascertain who makes more money. We'll split each person's profits by the number of hours they each put in:

£7.54 is Amber's hourly wage.

The hourly wage for Svetlana is £285 / 38 = £7.50.

We can tell that Amber makes more money per hour (£7.54) than Svetlana does (£7.50) by comparing the hourly rates.

Hence, Amber makes more money than Svetlana.

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The complete question is =

Amber makes pearls necklaces. She makes at least 13 necklaces per hour. She is paid 58p for each necklace she makes.

Svetlana is a personal assistant. She works 38 hours and is paid £285

Which of Amber or Svetlana has the highest hourly rate of pay?

Answer:

option H.

Line A increase more rapidly than B

hope it helps

The Operating Cash Flow (OCF) for this project is $809,750.

The Operating Cash Flow (OCF) for the project can be calculated using the formula: OCF = (Sales - Costs) × (1 - Tax rate) + Depreciation.

In this case, the annual sales are $1,660,000 and the costs are $635,000. The tax rate is 21%. The fixed asset has a three-year tax life, so the annual depreciation expense can be calculated as $2,320,000 / 3 = $773,333.

Substituting these values into the OCF formula:

OCF = ($1,660,000 - $635,000) × (1 - 0.21) + $773,333

Simplifying the expression:

OCF = $1,025,000 × 0.79 + $773,333

OCF ≈ $809,750

Therefore, the Operating Cash Flow for this project is approximately $809,750.

The OCF represents the cash flow generated by a project after accounting for sales, costs, taxes, and depreciation. In this case, we subtract the costs from the sales to calculate the pre-tax cash flow, then apply the tax rate to determine the after-tax cash flow.

Additionally, the depreciation expense is added back to account for the non-cash expense. By substituting the given values into the OCF formula, we obtain the final result of $809,750. This represents the net cash flow generated by the project on an annual basis.

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To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.

Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:

∫[a to b] f '(x) dx = f(b) - f(a)

In this case, we are given that:

∫[1 to 6] 6 f '(x) dx = 16

We can simplify the integral:

6 ∫[1 to 6] f '(x) dx = 16

Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:

6 f(6) - 6 f(1) = 16

Substituting the given value f(1) = 12:

6 f(6) - 6(12) = 16

6 f(6) - 72 = 16

Next, we isolate the term with f(6):

6 f(6) = 16 + 72

6 f(6) = 88

Finally, we solve for f(6) by dividing both sides by 6:

f(6) = 88 / 6

f(6) = 44/3

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The area of one wall based on area of floor and height of room is 28 feet².

Finding the length of one side of floor to find the area of wall. The formula to be used in the calculation of side of floor is area = side².

Area of floor = side²

side = \( \sqrt{49} \)

side = 7 m

Area of wall will be calculated by finding the product of length and breadth.

Area of one wall = 7 × 4

Performing multiplication on Right Hand Side of the equation

Area of one wall = 28 feet²

Thus, the area is 28 feet².

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Answer:

3/5

Step-by-step explanation:

Cos C = adjacent/hypotenuse

or, Cos C = 21/35 = 3/4

Answered by GAUTHMATH

Answer:

Choice D. \(F(x)=x^2-4\)

Step-by-step explanation:

If 0 is subtracted from any number, then the result is the Number itself.

Example :-

Solution

For this case the only collection method thats satisfy very well the definition given is:

d. sample survey

Answer:

it is a function and domain and range is 0 to infinity

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

x= negative 1 and 2/5 y=1 and 3/5

Step-by-step explanation:

1. Start by putting both equations into slope-intercept form.  (y=mx+b)

-3x+3y=9

-3x+3x+3y=9+3x

3y=9+3x

3y/3=9+3x/3

y=3+x

2x-7y=-14

2x-2x-7y=-14-2x

-7y=-14-2x

-7y/-7=-14/-7-2x/-7

y=2+2/7x

2. Graph the equations and find where they intercept.

Answer:

X = 16

Step-by-step explanation:

These are supplementary angles, so they equal 180.

5x + 27 + 5x - 7 = 10x + 20

10x + 20 = 180

10x + 20 - 20 = 180 - 20

10x = 160

10x ÷ 10 = 160 ÷ 10

X = 16

Hope that helped you and have a good day!

To find the probability that the point lies in the shaded region of the circle, we need to compare the area of the shaded region to the total area of the circle. Let's say the radius of the circle is r.

The area of the shaded region can be found by subtracting the area of the unshaded region from the total area of the circle. The unshaded region is a square with side length equal to the radius of the circle. Therefore, its area is r^2. The total area of the circle is πr^2. So the area of the shaded region is:
πr^2 - r^2 = r^2(π - 1)

Now, if we choose a point at random from the circle, any point has an equal chance of being chosen. So the probability of choosing a point in the shaded region is equal to the area of the shaded region divided by the total area of the circle:

P(shaded) = (r^2(π - 1))/πr^2 = π - 1

Therefore, the probability of choosing a point in the shaded region of the circle is π - 1.

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Answer:

10 is when it will be at 1 foot, and 11 is when it will be less

Step-by-step explanation:

Answer:

y=1.5x

Step-by-step explanation:

Answer:

d  || if its wrong cancel me lol <3

Step-by-step explanation:

Both of these are correct. When multiplying 32 and 8, we should follow these steps:

So, the correct answer is 256.

Here is the multiplication shown step-by-step:

 32
   8

 16 --> drop down 6 and carry the 1

1
32
   8

   6

24-   --> drop down the 4 and add 1; carry the 2

 56

2

 32
    8

   6

 5 -

2 - - --> drop down the 2 since no more digits available to multiply

256 --> the answer

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Answer: The Jacobian of the transformation is: J = 8v(4w)3u - 8u(4v)3w = 24uvw

Step-by-step explanation:

To determine the Jacobian of the transformation, we first need to get the partial derivatives of x, y, and z with respect to u, v, and w:

∂x/∂u = 8v

∂x/∂v = 8u

∂x/∂w = 0∂y/∂u = 0

∂y/∂v = 4w

∂y/∂w = 4v∂z/∂u = 3w

∂z/∂v = 0

∂z/∂w = 3u

The Jacobian matrix J is then:

| ∂x/∂u ∂x/∂v ∂x/∂w |

| ∂y/∂u ∂y/∂v ∂y/∂w |

| ∂z/∂u ∂z/∂v ∂z/∂w |

Substituting in the partial derivatives we found above, we get:

| 8v 8u 0 |

| 0 4w 4v |

| 3w 0 3u |

So, the Jacobian of the transformation is:J = 8v(4w)3u - 8u(4v)3w = 24uvw

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The magnitude of the number of the minutes in the school is 2.

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

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Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

Answer:

7=x

Step-by-step explanation:

The interest rate is 10.89%

1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..

The size of the nominal money supply in the new short-run equilibrium is 121.07.

2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.

Real exchange rate will remain unchanged.

3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.

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