Question
A stationery store sells packages of two different-sized square stickers. The
side length of the smaller sticker, S(x), is modeled by the function
S(x) = { Væ+3, where x is the area of the larger sticker in square inches.
Which graph shows S(x)?

Answer:

x=2(y+7)

Step-by-step explanation:

2y−x=−14

Subtract 2y from both sides.

−x=−14−2y

The equation is in standard form.

−x=−2y−14

Divide both sides by −1.

x=2y+14

Then use the inverse property of distrubtion.

x=2(y+7)

or if you want to you can leave it as x=2y+14

Answer:

y=x/2-7

Step-by-step explanation:

Move x to the side with the constant and then divide.

1. -x from both sides

2. the divide by 2

it can also be written like

y=1/2x-7

Answer:

The unit rate

Step-by-step explanation:

They both represent the same number. Also, both are written in units.

Answer:

To compute the total cost based on the number of drinks and tacos, we can use the given prices of $2 for a drink and $5 for a taco. Let's assume the number of drinks is represented by "d" and the number of tacos is represented by "t". The **total cost** can be calculated as:

totalcost = (2 * d) + (5 * t)

For example, if we have 2 drinks and 3 tacos, the calculation would be:

totalcost = (2 * 2) + (5 * 3) = 4 + 15 = 19

So, with 2 drinks and 3 tacos, the total cost would be $19.

You can substitute the values of "d" and "t" with the desired quantities to calculate the total cost for different combinations of drinks and tacos.

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The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

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Option A: Rotate pentagon A 90° clockwise about the origin, translate it 6 units down, and reflect it over the y-axis. (Does not result in congruent pentagons)

Option B: Translate pentagon A 5 units to the right, reflect it over the x-axis, translate it 8 units to the left. (Does not result in congruent pentagons)

Option C: Reflect pentagon A over the x-axis, translate it 8 units to the right, and translate it 2 units up. (Does not result in congruent pentagons)

Option D: Rotate pentagon A 90° clockwise about the origin, reflect it over the x-axis, and reflect it over the y-axis. (Results in congruent pentagons)

In summary, only option D, which involves rotating pentagon A clockwise, reflecting it over the x-axis, and reflecting it over the y-axis, leads to congruent pentagons. The other options do not preserve the necessary properties for congruence.

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Answer:

i believe 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

p = 0.5

t = 1

Start at the point of origin

The estimate of the coordinates of the solution to the nearest tenth is either (3.1, 1.7) or (1.7, 3.1), depending on which answer choice is correct.

To determine an estimate of the coordinates of the solution of the system, we need to solve the system of equations first. Unfortunately, the system of equations is not given in the question, so we cannot solve it. Therefore, we cannot determine the exact coordinates of the solution.

However, we can make an estimate based on the given answer choices. Looking at the answer choices, we notice that they are all very close to each other, with the x-coordinate and y-coordinate differing by only 0.4. This suggests that the solution is somewhere in the vicinity of (3, 2) or (2, 3). Based on this observation, we can eliminate options C and D since they are both too far away from (3, 2) and (2, 3). T

his leaves us with options A and B. Both of these options are equally close to (3, 2) and (2, 3), so we cannot eliminate either of them based on the information given. Therefore, our estimate of the coordinates of the solution to the nearest tenth is either (3.1, 1.7) or (1.7, 3.1), depending on which answer choice is correct.

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Answer: 452.16 square feet

Step-by-step explanation:

The formula that is used to calculate the area of a circle is given as:

= πr²

where π = 3.14

r = Diameter/2 = 24/2 = 12

Area = πr²

= 3.14 × 12²

= 3.14 × 144

= 452.16 feet²

Therefore, the answer is 452.16 square feet.

Answer:conjectured that F(n)≈0.72∗n∗f(n). Following that clue, we can find the following identity holds for all cases we tested by trial and error.

F(n)=nf(n)−(n−2)f(n−2)+(n−4)f(n−4)−(n−6)f(n−6)+⋯

where the sequence of summands goes on as long as the summand makes sense.

Step-by-step explanation:

Answer:

160 yards

Step-by-step explanation:

The volume of air in liters that might inhale (and exhale) in 8.00 hours is 4060.8 litres.

For the given question;

The volume of air inhale (and exhale) once = 0.475 liters

Number of breathing in 1 minutes = 18 times.

Thus, the volume of air inhaled in 1 minutes is 0.47×18 = 8.46 litres.

This can be written as;

1 minutes ------- > 8.46 litres of air.

For calculating in 8 hours that is 8×60 = 480 minutes, multiply the both side by 480 in above equation;

1× 480 minutes ------- >  480×8.46 litres of air.

480 minutes --------> 4060.8 litres of air.

Therefore. the volume of air in liters that might inhale (and exhale) in 8.00 hours is 4060.8 litres.

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The spheres with center (1, -3, 6) that just touch the xy-plane, yz-plane, and xz-plane can be described by the following equations:

(a) The sphere touching the xy-plane has a radius of 6 and its equation is \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 36\)\).

(b) The sphere touching the yz-plane has a radius of 1 and its equation is \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 1\)\).

(c) The sphere touching the xz-plane has a radius of 9 and its equation is \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 81\)\).

In summary, the spheres that just touch the xy-plane, yz-plane, and xz-plane have equations \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 36\)\), \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 1\)\), and \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 81\)\) respectively.

To find the equation of a sphere with center (h, k, l) and radius r, we use the formula \(\((x-h)^2 + (y-k)^2 + (z-l)^2 = r^2\)\).

(a) For the sphere touching the xy-plane, the center is (1, -3, 6) and the radius is 6. Thus, the equation is \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 36\)\).

(b) Similarly, for the sphere touching the yz-plane, the center is (1, -3, 6) and the radius is 1. The equation becomes \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 1\)\).

(c) For the sphere touching the xz-plane, the center is (1, -3, 6) and the radius is 9. The equation is \(\((x-1)^2 + (y+3)^2 + (z-6)^2 = 81\)\).

Thus, we have obtained the equations for the spheres touching the xy-plane, yz-plane, and xz-plane respectively.

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The given equation states that this integral is equal to -2. However, this is not correct, as the integral represents the sum of the areas and should result in a positive value.

To evaluate the integral in terms of areas, we need to interpret it as the area under a curve. The integrand, 3 + √9-x^2, is the equation of a semi-circle with radius 3 and center at the origin.

Thus, we can interpret the integral as the area of this semi-circle from x = 0 to x = 3. We know that the area of a semi-circle with radius r is (1/2)πr^2, so the area of this semi-circle is (1/2)π(3)^2 = (9/2)π.

However, the integral is evaluated from x = 0 to x = 3, so we need to take half of the area to get the area under the curve from x = 0 to x = 3. Therefore, the area under the curve is (9/4)π.

We also know that the integral is equal to -2, so we can set the area equal to -2:

(9/4)π = -2

Solving for π, we get:

π = (-8/9)

This is not a possible value for π, so there must be an error in the problem statement or the solution method.
To evaluate the integral by interpreting it in terms of areas, follow these steps:

Step 1: Identify the given integral
0 ∫ (3 + √9-x^2) dx

Step 2: Break the integral into two parts
0 ∫ 3 dx + 0 ∫ √(9-x^2) dx

Step 3: Evaluate the first integral (0 ∫ 3 dx)
This represents the area of a rectangle with height 3 and width from 0 to x.
Integral = 3x

Step 4: Evaluate the second integral (0 ∫ √(9-x^2) dx)
This represents the area of a quarter-circle with radius 3 (because 9 = 3^2). The area of the quarter-circle can be found using the formula for the area of a circle (A = πr^2) divided by 4:
Integral = (1/4)π(3)^2 = (9/4)π

Step 5: Add the two integrals together
(3x) + (9/4)π

Step 6: Evaluate the integral at the given limits (0 to x)
At x=0, the integral is 0.
So the definite integral = (3x) + (9/4)π - 0

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Answer:

4 < x < 14

Step-by-step explanation:

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

A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.

Amplitude:

The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values ​​of a variable. In the previous text, the phase of a periodic function is called the amplitude.

                       X = A sin (ω[ t - K]) + b

A is the amplitude (or peak amplitude),

x is the oscillating variable,

ω  is angular frequency,

t is time,

K and b are arbitrary constants representing time and displacement respectively.

According to the Question:

An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:

X= A/5* sin(1000.t + 120)

These oscillations have a certain amplitude. X values ​​can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.

For theses cases X= A/5 respectively -A/5.

Therefore,

The amplitude is A/5.

For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.

Complete question:

Can I find the amplitude of this equation? A/5 *