using powers of 10, which would be the best choice for the first number to subtract in the division problem 4860/15?

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

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

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

The coordinates of the fourth vertex is (1,-8).

As three of a parallelogram's vertices, we were given:

(3,-2), (-1,-4), (5,-6). (5,-6).

We see that (3,-2) and (-1,-4) form a diagonal after charting the points as in the attachment.

The midpoint formula determines what point on this diagonal is in the middle.

Keep in mind that both diagonals' midpoints are identical.

Specify the coordinates of the fourth point (x,y).

As a result of once more applying the midpoint formula to (3, -2), we get:

x=1 and y=-8

The fourth point's locational details are as follows:

(1,-8).

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The complete question is,

A good can be produced for a total cost of 600 or 850 when making 100 units and 150 units, respectively. Discover an equation for TC in terms of Q, the number of generated units, presuming that the total cost function is linear.

Answer:

What do,you mean

Step-by-step explanation:

Answer:

There are 3 angles on a straight line : WYX, WYV, VYZ

now,

given, (WYV = 6x - 12) , (VYZ = x + 16) ,

(WYX = VYZ) { They are opposite angles}

.

Sum of all the angles will be 180°

WYX + WYV + VYZ = 180°

(6x - 12) + (x + 16) + (x + 16) = 180°

6x - 12 + 2x + 32 = 180°

8x + 20 = 180°

8x = 180° - 20°

8x = 160°

x = 160°/8 = 20°

now,

put the value of 'x' in WYV i.e. (6x - 12) = (6*20 - 12) ° = (120 - 12) ° = 108°

hence, WYV = 108°

.

.

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Answer:

  2

Step-by-step explanation:

The expression is the sum of two terms.

__

Additional comment

The word "term" is used in different contexts to mean any specified part of an expression. We could call "5" a term in the ratio m/5, for example.

The idea of "term" is usually introduced when considering polynomials as sums of products. Each of the products contributing to the sum is considered a "term." In the given expression, the sum has two contributors:

  (m/5) + (4·6)

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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The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

It is both -2 and 4

Step-by-step explanation: hope it helped!

Answer:

The answer is M + 2, if thats wat ur asking for.

Step-by-step explanation:

Answer:

M+2

Step-by-step explanation:

M+12-10

Since there are only 12 and -10 that are the same you can add them together to get 2 and that is pretty much what you could do unless you find what M is.

Hope this helps!

Answer:

17 + 123 (4 - 1) + (36 / 18) 52 =

17 + 123 x 3 + 2 x 52 =

17 + 369 + 104 =

17 + 473 =

490

Step-by-step explanation:

hope this helps! i made up everything so i hope its okay!

Answer:

234

Step-by-step explanation:

Man I don't know

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Answer:

Its not a rhombus its a triangle and your answer is 600

Step-by-step explanation:

mutlpiy 20 by 30 to get your answer

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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Answer:

D

Step-by-step explanation:

total marbles

9

red marbles- 4

so prob is 4/9 or D

if my answer helps please mark as brainliest

Answer:

D

Step-by-step explanation:

4+3+2= 9

4 of the 9 are red and we can not simplify.

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer: 8/9 divided by 4 is 2/9.

Step-by-step explanation: If you want to divide fractions, first you need to find the reciprocal of the second term. The reciprocal is when you swap the numerator and the denominator. The reciprocal of 4 is 1/4. Then, you multiply 8/9 is 1/4. 8 x 1 is 8, and 9 x 4 is 36. The answer is 8/36, which you can simplify into 2/9.

The value of the expression (8/9)÷4 is (8/9)×1/4.

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, A fraction 8/9 and it is being divided by 4.

∴ (8/9)÷4.

= (8/9)×1/4.  (think of flipping the divisor to make it a multiplier)

= 32/9

Or

3 whole 5/9.

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Answer:

430.2857...

Step-by-step explanation:

Answer:

\(3.012\) ÷ \(7\) = 430.285

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Given that,

The radius of the circle, r = 7.3 units

To find,

The diameter of the circle.

Solution,

If r is the radius of the circle, then its diameter is given by the relation as follows :

d = 2r

Put the value of r.

d = 2(7.3)

= 14.6 units

So, the diameter of the circle is 14.6 units. Hence, the correct option is (A).

Answer:

36

Step-by-step explanation:

75/100

75/100=0.75

0.75*48 =36

Answer: The time is 20:15 on a military time clock.

Step-by-step explanation:

Answer:

The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y = 1760m.

Step-by-step explanation:

A. The range of the function y = 3x - 2, considering the domain {-1, 2,4}, is given as follows:

Range: {-5, 4, 10}.

B. The set of ordered pairs that represent the function is given as follows:

{(-1,-5), (2,4), (4,10)}

The function for this problem is given as follows:

y = 3x - 2.

The domain of the function is given as follows:

{-1, 2,4}.

The range of the function is composed by the numeric values of the function assumed for these input values.

The numeric values of the function are found replacing the lone instance of x by their input values, as follows:

Hence the range is the set composed by -5, 4 and 10.

An ordered pair has the following format:

(x,y).

In which y is the numeric value of the input x.

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Answer:

Approximately \(153.94\) \(in^2\)

Step-by-step explanation:

Recall the formula for the area of a circle:

\(\pi r^2\)

Where r is the radius.

We are given that the radius is 7 inches. Let's plug that into our formula and solve it. We have:

\(\pi r^2=\\\pi (7)^2=\\\pi (49)=\\49\pi\)

From here, we multiply our answer by pi using a calculator and round.

Answer:

x=-9

Step-by-step explanation:

Answer:

1 1/6 hours

Step-by-step explanation:

Add them together 2 + 1.5 = 3.5

Multiply them together 2 x 1.5 = 3

Take first number and divide by 2nd 3.5 / 3 = 7/6 or 1 1/6 hours

What is the formula for rate of work ?

The formula for the rate of work is,

\(\frac{1}{T} =\frac{1}{T_a} +\frac{1}{T_b}\)

\(T_a\) is the time taken by an individual a to complete a task.

\(T_b\) is the time taken by an individual a to complete a task.

\(T\) is the time taken by a and b to complete a task together.

Here, Tina can grade 60 exams in 2 hours , so, \(T_a=2 hours\)

Renee can grade 60 exams in 1.5 hours. So, \(T_b=1.5 hours\)

If they work together the time will taken by them,

\(\frac{1}{T} =\frac{1}{T_a} +\frac{1}{T_b}\)

\(\frac{1}{T} =\frac{1}{2} +\frac{1}{1.5}\)

\(\frac{1}{T} =\frac{1.5+2}{1.5*2}\)

\(\frac{1}{T}\\\\=\frac{3.5}{3}\\\\=7/6\\\\\)

\(T=6/7 hours\)

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Answer:

ggg

Step-by-step explanation:

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