You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $76.49 how many KWH of energy were used in house this month?

The particle's acceleration at t=2.00 s is 12 m/s^2.

The given position of a particle is x=6.00t^2+5.00t+10.0, with x in meters and t in seconds.

To find the acceleration of a particle, we can use the formula given below;

a(t) = d^2x/dt^2

Here,

dx/dt = velocity v(t) and d^2x/dt^2 = acceleration a(t)

Given that, x = 6.00t^2 + 5.00t + 10.0

Differentiating both sides with respect to t, we get;

dx/dt = v(t) = 12t + 5.00

At t = 2.00 s, v(2) = 12(2) + 5.00= 29 m/s

Now, differentiate v(t) to find a(t).

a(t) = dv(t)/dt

Differentiating v(t) with respect to t, we get

a(t) = d^2x/dt^2 = d/dt(12t + 5) = 12 m/s^2

Hence, the particle's acceleration at t=2.00 s is 12 m/s^2.

Therefore, the correct option is 150.

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Answer:

202.5 miles

Step-by-step explanation:

We find the unit rate of the mile per gallon

135/6

= 22.5

We multiply 22.5 by 9 to get the miles they can drive on 9 gallons

22.5 * 9

= 202.5

Answer:

202.5 miles

Step-by-step explanation:

135 miles  divided by 6 = 22.5 x 9 = 202.5 miles

6 gallons  divided by 6 = 1 gallon x 9 = 9 gallons

The expression that shows the granola bars Todd bought is 12g.

The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Given: Todd bought g boxes of granola bars.

There are 12 granola bars in each box.

Let g be the boxes of granola bars.

Therefore, the expression that shows the granola bars Todd bought is 12g.

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Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

Answer:

A would be the answer

Step-by-step and

Answer:

A side of a square is represented by 2.5x-3 and a side of an equilateral triangle is represented by 2x-2.

If the perimeter of the square and the equilateral triangle are the same, then we can set the perimeter of the square equal to the perimeter of the triangle:

4(2.5x-3) = 3(2x-2)

Expanding the equation and combining like terms we get:

10x - 12 = 6x - 6

Subtracting 6x from both sides we get:

4x - 12 = -6

Adding 12 to both sides we get:

4x = 6

Dividing both sides by 4 we get:

x = 3/2

With x = 3/2, we can find the perimeter of the square by plugging it back into the equation for the side of the square:

4(2.5(3/2) - 3) = 4(3.75 - 3) = 4(.75) = 3

And we can find the perimeter of the equilateral triangle by plugging it back into the equation for the side of the triangle:

3(2(3/2) - 2) = 3(3 - 2) = 3(1) = 3

So the perimeter of the square is 3 units and the perimeter of the equilateral triangle is also 3 units.

The expression 24 - 2x is suitable for the length of the garden as it accounts for the width and represents the remaining length of fencing available for the garden.

To enclose a rectangular garden, three sides need to be fenced, while one side is already adjacent to Mr. Picasso's house. The remaining three sides will consist of two equal lengths for the width and one length for the length of the garden.

Since the total length of fencing available is 24 ft, the width requires two equal sides, each of length x ft, which amounts to 2x ft. Subtracting this width from the total length of fencing gives us 24 - 2x ft, which represents the remaining length available for the length of the garden.

Therefore, 24 - 2x is an appropriate expression for the length of the garden as it takes into account the already utilized length for the width and represents the remaining length available for the garden's length.

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Answer:

x = 10

Step-by-step explanation:

Let the missing value be x.

Therefore,

\(6 \frac{1}{2} - 1 \frac{x}{16} = 4 \frac{7}{8} \\ \\ \frac{6 \times 2 + 1}{2} - \frac{16 \times 1 + x}{16} = \frac{4 \times 8 + 7}{8} \\ \\ \frac{13}{2} - \frac{16 + x}{16} = \frac{39}{8} \\ \\ \frac{13 \times 8}{2 \times 8} - \frac{16 + x}{16} = \frac{39 \times 2}{8 \times 2} \\ \\ \frac{104}{16} - \frac{16 + x}{16} = \frac{78}{16} \\ \\ \frac{104 - 16 - x}{16} = \frac{78}{16} \\ \\ 88 - x = 78 \\ \\ 88 - 78 = x \\ \\ x = 10\)

The Solutions to 12m ² - 4mn-5n² are:

m = n/3 or m = -5n/3

To solve the quadratic equation 12m² - 4mn - 5n² = 0, we can use the quadratic formula:

m = (-b ± √(b^2 - 4ac)) / 2a

where a = 12, b = -4n, and c = -5n².

Substituting these values into the formula, we get:

m = (-(-4n) ± √((-4n)^2 - 4(12)(-5n²))) / 2(12)

Simplifying:

m = (4n ± √(16n² + 240n²)) / 24

m = (4n ± √(256n²)) / 24

m = (4n ± 16n) / 24

So the solutions are:

m = n/3 or m = -5n/3

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Answer:

D. The last 26/8, 3-32, -Pi, -4 2/3

Step-by-step explanation:

26/8= 3.25

3-32=3.17

-Pi= -3.14

-4 2/3= -4.67

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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Answer:

19, 12, 25

Step-by-step explanation:

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

Answer:

Step-by-step explanation:

The answer is attached and provided below

Answer:

= -48

Step-by-step explanation:

3x^3 - 8y^2

3 ( 2 )^3 - 8 ( -3 )^2

first you solve the exponents

3 ( 8 ) - 8 ( 9 )

multiply

24 - 72

subtract

= - 48

hope this helps

Answer:The first one

Step-by-step explanation:

Cheap data's distribution is more symmetrical

To find the 85th percentile of combined test scoresZ-score is given by; Z = (X - μ) / σ0.85 = (X - 1499) / 345By solving for X, we getX = μ + σZ = 1499 + 345(1.0364) = 1850.4Therefore, the combined scores corresponding to the 85th percentile is 1850.4.

The given data isMean

= μ

= 1499 Standard deviation

= σ

= 345a) To find the 30th percentile of combined test scoresz-score is given by;  Z

= (X - μ) / σLet's plug in the values  Z

= (X - μ) / σ0.30

= (X - 1499) / 345By solving for X, we getX

= μ + σZ

= 1499 + 345(-0.5244) = 1301.21Therefore, the combined scores corresponding to the 30th percentile is 1301.21.b) To find the 75th percentile of combined test scoresZ-score is given by; Z

= (X - μ) / σ0.75

= (X - 1499) / 345By solving for X, we getX

= μ + σZ

= 1499 + 345(0.6745)

= 1725.4Therefore, the combined scores corresponding to the 75th percentile is 1725.4.c) .To find the 85th percentile of combined test scores Z-score is given by; Z

= (X - μ) / σ0.85

= (X - 1499) / 345By solving for X, we getX

= μ + σZ

= 1499 + 345(1.0364)

= 1850.4Therefore, the combined scores corresponding to the 85th percentile is 1850.4.

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Answer:

100,000 m²

Step-by-step explanation:

the area = l x w = 1000 x 100 = 100,000 m²

Answer:

7

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

5x + 15 <= 90

5x<=75

x=15

Answer:

15 roses

Step-by-step explanation:

90 (Amount Santo wants to spend)

15 (Shipping fee)

You first subtract Shipping Fee from the total amount Santo wants to spend

90-15=75

Next it's time to figure out how many roses he can buy with the $75

Each roses is $5, so you divide the left over money after shipping by the price of the rose.

75÷5=15

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

234

Step-by-step explanation:

x=2+3

The two waves that have the same speed are waves a and d

The speed of a wave is given by the formula:

v = λf

where v is the speed of the wave, λ is the wavelength, and f is the frequency.

The wavelength and frequency of a wave can be determined from its equation as follows:

λ = 2π/k

f = ω/2π

where k is the wave number and ω is the angular frequency.

For the waves given, we can rewrite the equations as:

a. y = 0.12 cos(3x - 21t) = 0.12 cos(3(x - 7t))

b. y = 0.15 sin(6x + 42t) = 0.15 sin(6(x + 7t))

c. y = 0.13 cos(6x + 21t) = 0.13 cos(6(x + 3t))

d. y = -0.23 sin(3x - 42t) = 0.23 sin(3(7t - x))

Comparing the expressions for the wave numbers and angular frequencies, we get:

a. k = 3, ω = 21

b. k = 6, ω = 42

c. k = 6, ω = 21

d. k = 3, ω = 42

Using the formulas for wavelength and frequency, we get:

a. λ = 2π/k = 2π/3, f = ω/2π = 21/2π

b. λ = 2π/k = π/3, f = ω/2π = 7

c. λ = 2π/k = π/3, f = ω/2π = 21/2π

d. λ = 2π/k = 2π/3, f = ω/2π = 42/2π

We can see that waves a and d have the same speed since they have the same wavelength, λ = 2π/3, and therefore the same speed, v = λf = (2π/3) * (42/2π) = 14.

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.

Answer:

8). 36

10). Option 2

Step-by-step explanation:

8). If a = 6 and b = 2

   Then \(a^{b}=6^{2}\)

                 = 36

10). This graph has two parts.

   First part shows the increase in the temperature with time in the morning.

   Second part shows the decrease in the temperature in the evening.

   So the graph represents the rise in temperature then down during the day.

   Option 2 is the correct option.

Answer: \(4x-3\)

Step-by-step explanation:

For any function f(x), you will substitute the value of x into the given function. For instance, f(x) = 2x+3. The value substituted in was the original variable, x. However, if x=2, then f(2) = 2(2)+3 = 4+3 = 7. This still applies even if the given x is another function, such as x+2. So for the given function f(x) = 4x-11, f(x+2) = 4(x+2)-11. This simplifies to 4x+8-11, which simplifies to 4x-3.

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

Answer:

  10. (l, y) = (6, 12)

  11. (c, w) = (9√3, 18√3)

  12. (x, y) = (12√3, 24√3)

Step-by-step explanation:

Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...

  1 : √3 : 2

__

10. l : 6√3 : y = 1 : √3 : 2

multiply by 6

  = 6 : 6√3 : 12

  l = 6, y = 12

__

11. c : 27 : w = 1 : √3 : 2

multiply by 27/√3 = 9√3

  = 9√3 : 27 : 18√3

  c = 9√3, w = 18√3

__

12. x : 36 : y = 1 : √3 : 2

multiply by 36/√3 = 12√3

  = 12√3 : 36 : 24√3

  x = 12√3, y = 24√3

__

This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.

To estimate the probability that the frog jumps off the board within 60 seconds, we need to simulate the frog's jumps using the provided random number table.

By tracking the jumps and determining if the frog reaches the edge within the given time frame, we can calculate the estimated probability.

We will simulate the frog's jumps using the random numbers provided in the table. Each random number will represent a jump duration in seconds. If the sum of the jump duration is equal to or exceeds 60 seconds, it means the frog jumps off the board within the time frame. We mark the jumps directly on or above the table to keep track of the simulation.

Repetition 1: Starting from the first random number 126, we mark the first jump. We continue adding the jump durations until the cumulative sum exceeds 60 seconds or we reach the end of the provided numbers. Let's say, after the fourth jump, the cumulative time is 68 seconds, which means the frog jumped off the board within 60 seconds.

Repetition 2: We repeat the process using the second set of random numbers starting from 127. We mark the jumps and calculate the cumulative time. Suppose after the fifth jump, the cumulative time is 56 seconds. In this case, the frog did not jump off the board within 60 seconds.

Repetition 3: We repeat the process using the third set of random numbers starting from 128. We mark the jumps and calculate the cumulative time. Suppose after the third jump, the cumulative time is 42 seconds. Again, the frog did not jump off the board within 60 seconds.

After performing the three repetitions, we count how many times the frog jumps off the board within 60 seconds. If the frog jumped off in one repetition out of three, then the estimated probability is 1/3 or approximately 0.333. This indicates that there is a 33.3% chance that the frog jumps off the board within 60 seconds based on the simulated data.

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Answer:

54.75 is the answer I got

Step-by-step explanation:

first I calculated 75÷1.25 then subtracted the fare which is 5.25