A phone plan charges $15.95 per month and $0.10 for every minute, m, that the phone is used. Mr. Kordemsky wants his phone bill for the month to be less than $40. Write an inequality that could be used to model this situation. Solve this inequality for m.

Answer:

Step-by-step explanation:

START

=> Alternate Interior Angles (Slanted Downwards Right)

=> Vertical Angles (Up)

=> Linear Pair (Right)

=> Corresponding Angles (Down)

=> Alternate Exterior Angles (Down)

=> Interior Angles on the Same Side (Left)

=> Alternate Interior Angles (Left)

=> Corresponding Angles (Slanted Downwards Right)

=> Exterior Angles on the Same Side (Right)

FINISH

Answer:

\(3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15\)

Graph is not inserted.

Answer:

1/20

Step-by-step explanation:

5%

Percent means out of 100

5/100

Divide top and bottom by 5

1/20

Answer:

HI THERE,THE ANSWER IS

B

Step-by-step explanation:

\(\frac{1}{20} \\\) X 100%=5%

Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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To find the probability that a student break lasts more than 7 minutes, we can use the z-score formula to standardize the break time and then use the standard normal distribution table or a calculator to find the probability. The probability that a student break lasts more than 7 minutes is approximately 0.3745 or 37.45%.

Step 1: Calculate the z-score.
The z-score formula is given by:
z = (X - μ) / σ
where X is the break time, μ is the mean, and σ is the standard deviation. In this case, X = 7 minutes, μ = 6.3 minutes,

and σ = 2.2 minutes. Plugging in these values:
z = (7 - 6.3) / 2.2 ≈ 0.32
Step 2: Find the probability using the standard normal distribution table or a calculator.
Now that we have the z-score, we can find the probability that a student break lasts more than 7 minutes. We want to find the area to the right of the z-score (0.32) since we are interested in break times longer than 7 minutes.
Using a standard normal distribution table or a calculator, we find that the area to the left of z = 0.32 is approximately 0.6255. However, we want the area to the right of z = 0.32, which is given by:
Area to the right of z = 1 - Area to the left of z
Area to the right of z ≈ 1 - 0.6255 ≈ 0.3745.

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Answer: i think y =  x + 5

Step-by-step explanation:

Answer:

FV= £13,131.66

Step-by-step explanation:

Giving the following information:

Initial Investment (PV)= £10,000

Interest rate (i)= 5.6%

Number of periods (n)= 5 years

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 10,000*(1.056^5)

FV= £13,131.66

Answer:

6^540

Step-by-step explanation:

The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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You can solve this equation by converting to standard form and using the formula for roots of quadratic equation.

The solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

The standard form of quadratic equation is given by:

\(ax^2 + bx + c =0\)

The roots of this equation is obtained by:

\(x =\dfrac{-b \pm \sqrt{b^2 -4ac }}{2a}\)

We can take square on both sides to remove the root.

\(\sqrt{x+10} -1 =x\\ \sqrt{x+10} = x + 1\\ \\ \text{Taking square on both sides}\\ \\ x + 10 = (x + 1)^2\\ x + 10 = x^2 + 1 + 2x\\ x^2 + x - 9 = 0\\ \)

Know that we took square.

Also know that \((\sqrt{x+10})^2 = (-\sqrt{x+10})^2 = x+10\\ \) This is the reason that both roots we will obtain won't belong to our quadratic equation we obtained. Thus, we will have to check which root is correct solution of the obtained quadratic equation.

Now, comparing with standard form, we get a = 1, b = 1, c = -9, thus:
\(x = \dfrac{-1 \pm \sqrt{1 + 36}}{2} = \dfrac{-1\pm\sqrt{37}}{2}\)

x = 2.54 or x = -3.54

Putting both values, we get:

For x  =2.54:

\(\sqrt{x+10} -1 =x\\ \sqrt{2.54+10}-1 = 2.54\\ 2.5411 \approx 2.54\)

For x = -3.54

\(\sqrt{x+10} -1 =x\\\sqrt{-3.54+10}-1 = -3.54\\1.5411 \neq -3.54\)

Thus, the solution to given equation equation is \(x = \dfrac{-1 + \sqrt{37}}{2}\)

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Answer:

the ranger will need 6 signs

Step-by-step explanation:

Answer:its C

Step-by-step explanation:

they x will intercept when you do it right

Answer:

eric

Step-by-step explanation:

just took the test

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

Answer:

18

Step-by-step explanation:

18+18+18=54

hope it helps

X+x+x=54

3x=54

X=54/3

X=18

Answer:

x=9  x=-5

Step-by-step explanation:

x² − 4x + 4 = 49

(x-2)²= 49

x-2= 7  or    x-2=-7  

x=9  or    x=-5

Answer:

i think it´s b

Step-by-step explanation:

Answer:

C, A and D

Step-by-step explanation:

The solution to the integral is ∫ (16x-130) / (x²-16x+63) dx = -ln|x-9| + 41ln|x-7| + C

Now, let's get into the details of the problem. We are given the integral:

∫ (16x-130) / (x²-16x+63) dx

To solve this integral, we first need to factor the denominator. We can factor it using the quadratic formula, which gives us:

x²-16x+63 = (x-9)(x-7)

Therefore, we can rewrite the integral as:

∫ (16x-130) / [(x-9)(x-7)] dx

To apply this technique, we need to first write the fraction as:

(16x-130) / [(x-9)(x-7)] = A/(x-9) + B/(x-7)

where A and B are constants that we need to find. We can find A and B by multiplying both sides by the common denominator and then equating the numerators. This gives us:

16x - 130 = A(x-7) + B(x-9)

Now, we can solve for A and B by substituting values of x that make one of the terms zero. For example, if we substitute x=9, we get:

16(9) - 130 = A(9-7) + B(9-9)

Simplifying this expression gives us:

2A = -2

Therefore, A = -1.

Similarly, if we substitute x=7, we get:

16(7) - 130 = A(7-7) + B(7-9)

Simplifying this expression gives us:

-2B = -82

Therefore, B = 41.

Now that we have found A and B, we can rewrite the original fraction as:

(16x-130) / [(x-9)(x-7)] = -1/(x-9) + 41/(x-7)

Using this decomposition, we can integrate the original function by integrating each term separately. This gives us:

∫ (16x-130) / [(x-9)(x-7)] dx = ∫ [-1/(x-9) + 41/(x-7)] dx

= -ln|x-9| + 41ln|x-7| + C

where C is the constant of integration.

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The body axis roll rate is 1.102 rad/s, the body axis pitch rate is -3.647 rad/s, and the body axis yaw rate is 0.079 rad/s

To find the body axis roll, pitch, and yaw rates using kinematic equations, we need to use the following equations:

Body axis roll rate (p) = (Ixx * L + (Izz - Iyy) * Q * R) / Ixx

Body axis pitch rate (q) = (Iyy * M + (Ixx - Izz) * P * R) / Iyy

Body axis yaw rate (r) = (Izz * N + (Iyy - Ixx) * P * Q) / Izz

where:

p, q, and r are the roll, pitch, and yaw rates in radians per second, respectively

L, M, and N are the moments about the body axes in Newton meters

P, Q, and R are the angular velocities about the body axes in radians per second

Ixx, Iyy, and Izz are the moments of inertia about the body axes in kilogram meters squared

To convert the given values in degrees per second to radians per second, we need to multiply them by pi/180.

Using the given values, we have:

omwphi = 100 deg/s = 100 * pi/180 rad/s = 1.745 rad/s

phi = 45 deg/s = 45 * pi/180 rad/s = 0.785 rad/s

psi = 10 deg/s = 10 * pi/180 rad/s = 0.175 rad/s

psi = 360 deg/s = 360 * pi/180 rad/s = 6.283 rad/s

theta = 10 deg/s = 10 * pi/180 rad/s = 0.175 rad/s

theta = 5 deg/s = 5 * pi/180 rad/s = 0.087 rad/s

Assuming the moments of inertia about the body axes are known, we can use the above equations to calculate the body axis roll, pitch, and yaw rates.

For example, let's say the moments of inertia about the body axes are:

Ixx = 100 kg \(m^2\)

Iyy = 200 kg  \(m^2\)

Izz = 300 kg  \(m^2\)

Using these values and the given angular velocities, we can calculate the body axis rates as follows:

Body axis roll rate (p) = (Ixx * L + (Izz - Iyy) * Q * R) / Ixx

= (100 * 0 + (300 - 200) * 0.175 * 6.283) / 100

= 1.102 rad/s

Body axis pitch rate (q) = (Iyy * M + (Ixx - Izz) * P * R) / Iyy

= (200 * 0 + (100 - 300) * 1.745 * 6.283) / 200

= -3.647 rad/s

Body axis yaw rate (r) = (Izz * N + (Iyy - Ixx) * P * Q) / Izz

= (300 * 0.087 + (200 - 100) * 1.745 * 0.175) / 300

= 0.079 rad/s

Therefore, the body axis roll rate is 1.102 rad/s, the body axis pitch rate is -3.647 rad/s, and the body axis yaw rate is 0.079 rad/s

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Answer:

Area of the rectangle = 95 cm²

Step-by-step explanation:

Perimeter of the rectangle = Sum of the measures of the sides of the rectangle

From the figure attached,

Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]

                                       39 = 2(5x + 2)

                                       39 = 10x + 4

                                      10x = 39 - 4

                                      10x = 35

                                          x = 3.5

Therefore, measure of the given sides will be,

Length = (3x - 1) cm

3x - 1 = (3×3.5) - 1

        = 10.5 - 1

        = 9.5 cm

Width = (2x + 3) cm

2x + 3 = (2×3.5) + 3

          = 7 + 3

          = 10 cm

Area of the rectangle = Length × width

                                   = 9.5 × 10

                                   = 95 cm²

Therefore, area of the rectangle is 95 cm².

Answer:

If you use the PEMDAS method, you can see that exponents should be done first.

Step-by-step explanation:

The probability of getting a 2 from the 10-sided dice and a head from the 2-faced coin is 1/20.

To calculate the probability of getting a 2 from the 10-sided dice, we need to know the number of sides on the dice that have a 2. If the 10-sided dice is fair and each side has an equal probability of landing, and assuming one side has a 2, then the probability of getting a 2 is 1/10.

To calculate the probability of getting a head from the 2-faced coin, we know that there are 2 possible outcomes (head or tail) and assuming the coin is fair, each outcome has an equal probability. Therefore, the probability of getting a head is 1/2.

Since these two events are independent, we can multiply their probabilities to find the probability of both events happening together.

Probability of getting a 2 and a head = Probability of getting a 2 from the dice * Probability of getting a head from the coin

= (1/10) * (1/2)

= 1/20

Therefore, the probability of getting a 2 from the 10-sided dice and a head from the 2-faced coin is 1/20.

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Answer:

x

x

are the same

Step-by-step explanation:

when you plug in g(x) into f(x)

f(x)=16((1/4)(x)^.5)==x

then vice versa

g(x)=(1/4)((16x^2)^.5)==x

They are the same and, therefore, inverses of each other.

Answer:

  482/999

Step-by-step explanation:

Since there are 3 repeating digits, starting at the decimal point, the short answer is that the fraction is ...

  482/999

where 999 has a number of 9's equal to the number of repeating digits.

This fraction cannot be reduced.

_____

Long answer

Multiply the value by 1000 = 10^3, where the '3' is the number of repeating digits. Then subtract the original and divide by the coefficient of 'x'.

  \(x=0.\overline{482}\\1000x=482.\overline{482}\\1000x-x=482.\overline{482}-0.\overline{482}\\999x=482\\\\x=\dfrac{482}{999}\)

482 and 999 have no common factors, so the fraction cannot be reduced.

Answer:

It could be 351,00

Step-by-step explanation:

All we know is that x must round to 350,000 while rounding to 400,000. Any number above 350,000 rounds to 400,000. The number must not be greater than 355,000. Any number in between 350,000 and 355,000 works.

Answer: x=0

Step-by-step explanation: