Solve for f.
-3/4f = 5/4
F=

Answer:

A=(-13)

B=23

C=7

D=35

E=(-11)

F=(-5)

G=24

H=(-12)

Answer:

A. (-8)+(-5)=-13

B. (+16)-(-7)=23

C. (-11)-(-4)=-7

D. (-17)+(+52)=35

E. (-5)+(-8)+(2)=-11

F. (+6)+(-8)-(+3)=-5

G. (-4)-(-7)+(+21)=24

H. (-1)+(-17)-(-6)=-12

Step-by-step explanation:

these answer should be correct.

Hope this helps

Answer:

v = 260

Step-by-step explanation:

You have to multiply all the values given together (13 x 3 x 20) and then divide that by 3.

Answer:

j=h-4/k    this is the answer if you are solving for j

Step-by-step explanation:

For the given geometric sequence, we have that:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

For the series given by:

8, 12, 18, 27, ...

We have that:

When a geometric series is infinite and has a common ratio greater than 1, it diverges.

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Answer:

(x - 5)(x - 3)

Step-by-step explanation:

\( {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8\)

9514 1404 393

Answer:

  343π/6 cm³ ≈ 179.6 cm³

Step-by-step explanation:

The formula for the volume of a sphere is one of the volume formulas worth memorizing. It is ...

  V = (4/3)πr³

For r = 3.5 cm, the volume is ...

  V = (4/3)π(3.5 cm)³ = 343π/6 cm³ ≈ 179.6 cm³

The volume of air in the balloon is about 179.6 cm³.

The statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.

"It is a point or set of points (x, y) that satisfies all the constraints of the given problem."

"It is a solution that makes sense in context as well as mathematically. "

"It is a set of equations for which we find a common solution."

For given question,

Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground.

Given that, x represents the time, in seconds, since the timer starts.

The graph shows the vertical height of the tennis ball and balloon, in feet.

The solution to the system of equations are the points at which the graphs to the system of equations intersect each other.

From the given graph we can observe that,

the graphs intersect at points having the x values near x = 1.2 and x = -3.2 This means, there are two possible solutions.

But we know that the negative value of x (time) is not viable.

Therefore, the statement that best describes the solutions to the given system of equations - There are two possible solutions, but only one of the solutions is viable.

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Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

Answer:

Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions

Step-by-step explanation:

Answer:

10 classes

the answer is D 10

Step-by-step explanation:

Given data

number of classes= 50

percentage = 20%

We want to calculate 20% of 50

=(20/100)*50

=0.2*50

=10

This means that she cannot miss more than 10 classes

therefore she cannot miss 10 classes

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

6.68181818182

Step-by-step explanation:

the counting number just before C5F16 is 3,072.

By solving a percentage equation, we will see that the initial amount is $142.70

If we have an amount A, and we reduce it by X (where X is a percentage) then the new value is:

V = A*(1 - X/100%)

In this case, we know that the percentage reduced is 19.4%, and the new value is $115, replacing these values we will get:

$115 = A*(1 - 19.4%/100%)

Now we can solve that equation for A.

$115 = A*(1 - 19.4%/100%)

$115 = A*(0.806)

$115/(0.806) = A

$142.70 = A

The original value was $142.70

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Answers are in bold

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

Explanations:

Answer:

 ƒ(x) = (x - 2)^2 + 1

Step-by-step explanation:

To make f(x) be a translation of the graph of g(x) by (h, k), write it as ...

 f(x) = g(x -h) +k

You want to translate g(x) = x^2 by (2, 1), 2 units right and 1 unit up, so the function f(x) is ...

 f(x) = g(x -2) +1

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

93.5

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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Answer:

i dont know

Step-by-step explanation:

sorry please be a bit more clear on what help you would like

The result of  the expression 2 + 5^3 is 127.

To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

In this case, the exponentiation should be performed first.

Step 1: Calculate 5^3

5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.

Step 2: Add 2 to the result from Step 1.

2 + 125 = 127.

Therefore, the result of 2 + 5^3 is 127.

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The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

A

Step-by-step explanation:

Domain is the first number in the ordered pairs and range is the second number. (I'm sorry if it's wrong)

Hope it helps!

We are told that the volumes between two spheres is 16/3, this means that:

Now the formula for the volume of a sphere is:

Replacing in the previous formula:

Simplifying:

Now we solve for the first radius which is the radius of the bigger sphere:

Now we determine the radius of the smallest ball using the formula for the surface area of a sphere:

Now we replace the value of the surface area:

Now we solve for the radius:

Taking square root on both sides:

Solving the operation:

Now we replace the value of the radius in the proportion:

Solving the operations:

Taking cubic root to both sides:

Solving the operation:

Now we use the formula for the surface area using the new radius:

Replacing the radius:

Solving the operation:

Therefore, the surface area of the new ball is 127.9 square centimeters.

We will have the following:

*First: We write the expressions described in the problem:

*Second: We replace the first expression in the second and solve for B:

So, the fastest speed for bird B is 35 mph.

Now, using this information we determine the speed of bird A:

So, the fastest speed for bird A is 105 mph.

Because here there are 5 zeroes so 0.00003 can be written as 3/100000 , here 100000 = 10⁵ . Now , 3/10⁵ → 3 × 1/10⁵ → 3 × 10-⁵

Hence , 0.00003 = 3 × 10-⁵ . So it is -5