3.
Determine the amplitude (A), period (P) and phase shift (PS) of the function
f(x) = tan (2x + 1).
A = 1, p = ,PS = (2:0)
A = 1, P = 27, PS =
o
s = (2)
A = 1, p = 5, P = (1,0).
A = 1, P = 2.PS = (6, 1)

The fraction 25/6 is approximately equal to 4.17 as a decimal.

We have,

To find the decimal equivalent of 25/6, we perform the division operation:

25 ÷ 6 = 4.166666...

The division result is a recurring decimal, which means it continues indefinitely without repeating.

However, to represent it in decimal form, we can round it to a certain number of decimal places.

Rounding to two decimal places,

The decimal equivalent of 25/6 is approximately 4.17.

Therefore,

25/6 is approximately equal to 4.17 as a decimal.

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Answer:

2

Step-by-step explanation:

rise over run = y/x

3/1.5= 2

Answer:

y=mx +b

Step-by-step explanation:

Answer:

C. a + 2s = $22

a + 3s = $28

Step-by-step explanation:

a = cost of adult ticket

s = cost of student ticket

✍️Cost of adult tickets purchased by Alex = 1 * a = a

Cost of 2 students tickets purchased by Alex = 2 * s = 2s

Total cost of total ticket purchased by Alex = $22

Therefore, equation for Alex would be:

✅a + 2s = $22

✍️Cost of adult tickets purchased by Jen = 1 * a = a

Cost of 3 students tickets purchased by Alex = 3 * s = 3s

Total cost of total ticket purchased by Alex = $28

Therefore, equation for Jen would be:

✅a + 3s = $28

✍️The answer would be option C:

a + 2s = $22

a + 3s = $28

Answer: that four of them are stupid

Step-by-step explanation:

Answer:

25% :D

Step-by-step explanation:

Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

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Answer:

-7 degrees celsius

Step-by-step explanation:

12-19=-7

Answer:

-7

Step-by-step explanation:

12 - 19 = -7

Answer:

The number is 209.708

Step-by-step explanation:

IT'S ON KHAN

Answer:

the answer is 209.708

Step-by-step explanation:

Whenever u see something like 1/1,000, that means is a decimal

So the answer is simple

2 x 10 =20

9 x 1= 9

then u got the decimal

.708

so, the answer is 209.708

hope it helps :)

Answer:

y = -6x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form:   12x + 2y = -12

Step 2: Rewrite in slope-intercept form

Answer:

Rs. 2,50,000

Step-by-step explanation:

When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.

The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.

So there is a total of 6 ears, 12 paws, and 3 tails in the room.

Answer:

In the room there should be 6 ears, 12 paws, and 3 tails in total.

5

Simply add 3 and 2. You dont need to worry about the 50.

Or, complete 2x50 and 3x50

Now you would have 100 and 150.

Then add them to get 250.

Finally, divide 250 by 50.

Your answer should be 5

Answer:

[tex]\%Increase = 36\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 8.50[/tex]

[tex]Final = 11.56[/tex]

Required

Determine the percentage increase

Percentage increase is calculated using:

[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\%Increase = \frac{11.56 - 8.50}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06 * 100\%}{8.50}[/tex]

[tex]\%Increase = \frac{306\%}{8.50}[/tex]

[tex]\%Increase = 36\%[/tex]

Hence, the percentage increase in price is 36%

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Answer: 25

               2

Step-by-step explanation:

900 - 400 = 500 = 25

  50 - 10 =     40=    2        

Answer:

x = P/8

Step-by-step explanation:

The perimeter of the blueprint is given by the equation :

P = 8x

We need to solve the above equation for x.

Dividing both sides of the equation by 8.

[tex]\dfrac{P}{8}=\dfrac{8x}{8}\\\\x=\dfrac{P}{8}[/tex]

Hence, the value of x is P/8

Answer:$310

Step-by-step explanation:

Answer: $9.25 an hour

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  [tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]

The real caboose is 42 1/4 feet long.

Answer:

X = 2

Step-by-step explanation:

14= 28 + 7x

28 - 14 = 7x

14 = 7x

14 / 7

2 = x

Answer:

x  =  − 2

Step-by-step explanation:

Answer:

The answer is A, 3.50w.

Step-by-step explanation:

When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.

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Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]

[tex]\implies x^2 - 12x + 24 = 0[/tex]

[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]

[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]

[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]

where;

[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]

∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

∴

V = 18.93 ×  6.93 ×  2.536

V = 332.685 cubic inches

    A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.

           Volume = Length × Width × Height

Given in the question,

Let the measure of each side of a square removed = x inches

Therefore, length of the box = (12 - 2x) inches

Width of the box = (24 - 2x) inches

Height of the box = x inches

Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)

                                V  =  4x³ - 72x² + 288x

To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.

V' = 12x² - 144x + 288

For V' = 0,

12x² - 144x + 288 = 0

x² - 12x + 24 = 0

[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]

[tex]x=(6\pm2\sqrt{3})[/tex]

[tex]x=9.46,2.54[/tex]

For x = 9.46,

Volume of the box = 4(9.46)³- 72(9.46)² + 288

                               = -2769.03 cubic inches

For x = 2.54,

Volume of the box = 4(2.54)³- 72(2.54)² + 288

                               =  332.55 cubic inches

       Therefore, maximum volume of the box will be 332.55 cubic inches.

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Answer:

3. markup: $150

selling price: $300

4. markup: $19.20

selling price: $67.20

5. markup: $55

selling price: $165

6. markup: $90

selling price: $450

7. markup: $3.75

selling price: $16.25

8. markup: $7.14

selling price: $27.54

Step-by-step explanation:

To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:

3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:

100% = 1

150 * 1 = 150

The markup is 150.

To find the selling price we add the markup to the initial value:

150 + 150 = 300

The selling price is 300.

I applied this method to all of the questions.

Answer:

ASA

Step-by-step explanation:

Angle B side BC and angle C

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

In the given figure, ΔABC and ΔCDE.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Here,

Consider ΔABC and ΔCDE, we get

∠B = ∠E (Given)

BC=CE (Given)

∠BCA = ∠ECD (Vertically opposite angles)

By ASA congruence, ΔABC≅ΔCDE

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

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Answer:

20

Step-by-step explanation:

4 × 5 × 1 = 20 (cm³)

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Answer:

20

Step-by-step explanation:

The formula for volume:

[tex]V=length*width*height\\\\V=lwh[/tex]

Multiply all given values together:

[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]

The volume of the box is 20cm³.

:Done

Note:

"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.

Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.

Answer:

44

Step-by-step explanation:

Math boi

Answer:

x²=5x

x=5... probably c

Answer:

281-282

Step-by-step explanation: