Kala purchased a prepaid phone card for S15. Long distance calls cost 24 cents a minute using this card. Kala used her card only once to make a long
distance call. If the remaining credit on her card is $5.64, how many minutes did her call last?

Answer:

∠ADB= 360-90

--------------------------

hope it helps...

have a great day!!

Answer:

The first term is -3 and the common difference is 6

Step-by-step explanation:

Recall that the nth term of an arithmetic progression AP is given as

Tn = a + (n - 1)d

where

Tn is the nth term

a is the first term and

d is the common difference while n is the number of terms

Given that the 18th term of Arithmetic progression is 99 and 29th term is 165 then

substituting the given values into the formula

a + 17d = 99

a + 28d = 165

solve both equations simultaneously

11d = 165 - 99

11d = 66

d = 66/11

= 6

recall that a + 17d = 99

a + 17(6) = 99

a + 102 = 99

a = 99 - 102

= -3

hence the first term is -3 and the common difference is 6

Answer:green to total 2/10

Step-by-step explanation:

It is sampled at a rate 25% higher than the Nyquist rate and quantized into L levels. The maximum acceptable error in sample amplitudes is limited to 0.1% of the peak signal amplitude.

To sketch the amplitude spectrum of g(t), we observe that sinc functions centered at 16 kHz and 10 kHz contribute amplitudes of 16x10³ and 10x10³, respectively, while the cosine component centered at 30 kHz has an amplitude of 20x10³. The horizontal axis represents the frequency (f).

The amplitude spectrum of the sampled signal, within the range -50 kHz to 30 kHz, will exhibit replicas of the original spectrum centered at multiples of the sampling frequency. The amplitudes and frequencies should be labeled according to the replicated components.

The minimum required bandwidth for binary transmission can be determined by considering the highest frequency component in g(t), which is 30 kHz. Therefore, the minimum required bandwidth will be 30 kHz.

For M-ary multi-amplitude signaling within a channel bandwidth of 50 kHz, we need to find the minimum value of M. It can be determined by comparing the available bandwidth with the required bandwidth for each amplitude component of g(t). The minimum M will be the smallest number of levels needed to represent all the significant amplitude components without violating the bandwidth constraint.

To minimize M, we need to select a pulse shape that achieves the narrowest bandwidth while maintaining an acceptable level of distortion. Different pulse shapes can be considered, such as rectangular, triangular, or raised cosine pulses.    

If a raised cosine pulse is used, the roll-off factor determines the pulse shape's bandwidth efficiency. The roll-off factor is defined as the excess bandwidth beyond the Nyquist bandwidth. The required M can be calculated based on the available channel bandwidth, the roll-off factor, and the distortion tolerance.

When using delta modulation with a sampling rate of five times the Nyquist rate, the number of levels (L) and corresponding bit rate can be determined by considering the quantization error and the maximum acceptable error in sample amplitudes. The bit rate will be determined based on the number of bits required to represent each level and the sampling rate.  

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Answer:

Step-by-step explanation:

Remark

What a wonderful problem. I've never seen one quite like it.

Red to Yellow

The Red to Yellow ratio is given as 3:5

The total number of Red and yellow is something to 8. You get that just by adding the ratio. Let's check it out.

The reds are 3 to 8 and the yellows are 5 to 8.

Does that make sense? 3/8 + 5/8 = 8/8. All the cubes are accounted for.

Small to Large

The given ratio is 4:9

The smalls are 3/13 and the large are 9/13

3/13 + 9/13 equal 13/13 and all the cubes are accounted for.

What is the least possible number that will accomplish this?

8 * 13 is the very least number that will accomplish this. How come?

Because you have two conditions that must be met -- size and color. No other number will work.  Any other number will leave a remainder when you put color and size together. So the smallest number you can use is 104,

Last question: Least Number of Large Yellows

The color yellow is 5/8

The size is Large 9/13

So the calculation is

5/8 * 9 / 13 * 104

= 5 * 9

= 45

Notice that the 8 and 13 cancel out. You are left with the number of Yellows and Large =45

Note

I'll leave the other 3 combinations to you. They should add up to 104.

3/8 * 9/13 * 104 = 27

5/8 * 4/13 * 104 = 20

3/8 * 4/13 * 104 = 12

Answer:

45 degrees

Step-by-step explanation:

Here, we want to get the value of the acute angle

From the question, we have it that the sin of the acute angle equals its cosine

Recall;

cos A = sin (90-A)

Hence, if A is 45, then Cos A and Sine A will be the same

This means the value of theta which is the acute angle is 45 degrees

Answer:

108 %

Step-by-step explanation:

Answer:

51%

Step-by-step explanation:

(Amount of change/original value)

25.99÷49.99=0.51

To find the complete solution in radians of the equation tanθ sinθ = 3 sinθ, we can simplify the equation and solve for θ.

The complete solution in radians is θ = nπ, where n is an integer.

Let's simplify the equation step by step:

tanθ sinθ = 3 sinθ

Dividing both sides by sinθ (assuming sinθ ≠ 0):

tanθ = 3

Now, to find the values of θ, we can use the inverse tangent function (also known as arctan or tan^(-1)):

θ = arctan(3)

The inverse tangent function returns the angle whose tangent is 3. However, the inverse tangent function has a periodicity of π (180 degrees), meaning that the tangent function repeats every π radians. Therefore, the complete solution in radians is given by:

θ = arctan(3) + nπ, where n is an integer.

The complete solution in radians for the equation tanθ sinθ = 3 sinθ is θ = arctan(3) + nπ, where n is an integer. This solution accounts for all possible values of θ that satisfy the given equation.

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False, in finding the t-value for a confidence interval, we cannot use the value at either the 20th or 80th percentile.

To find the t-value for a confidence interval, we need to consider the t-distribution, which is a probability distribution that is used when the sample size is small and the population standard deviation is unknown. The t-distribution is symmetric and bell-shaped, similar to the normal distribution, but it has heavier tails.

When constructing a confidence interval, we use the t-distribution to determine the critical value, which corresponds to the desired level of confidence. The critical value is based on the degrees of freedom, which is determined by the sample size. The degrees of freedom represent the number of independent observations available to estimate a parameter.

The t-distribution has a different shape for different degrees of freedom. As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution. The critical values for a given level of confidence are determined from the t-distribution tables or using statistical software.

The t-value corresponds to a specific percentile in the t-distribution. For example, if we have a 95% confidence level, we need to find the t-value that corresponds to the 2.5th percentile (α/2) in each tail of the distribution. This value is not located at the 20th or 80th percentile.

Using the t-value at either the 20th or 80th percentile would be incorrect and would result in an incorrect confidence interval calculation. It is essential to use the correct critical value from the t-distribution table or software based on the desired confidence level and the degrees of freedom associated with the sample size.

In conclusion, when finding the t-value for a confidence interval, we should not use the value at either the 20th or 80th percentile, but rather refer to the appropriate critical value from the t-distribution based on the desired level of confidence and the degrees of freedom.

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Answer:

4 11/14

Step-by-step explanation:

9 16/14          9 turns to 8 and u add 14/14 to 2/14 16/14 then subtract 5/14

-4 5/14

4 11/14

Answer:

5 4/14

Step-by-step explanation:

Ok so what we do is take the whole number away from the fractions (9 - 4)

And subtract the fractions

9/14 - 5/14 = 4/14 just remember NEVER ADD OR SUBTRACT DENOMINATORS. Now you should add the whole numbers 9 - 4 =5 now get them together 5 4/14. Theirs your answer

The given statement " the notation "f(x)" is another way of representing y-values in a function" is true because f (x) and y are the same things.

The notation f(x), read as "f of x", indicates a function named f. It reflects that 'y is a function of x'. The letter 'x' refers to the input value or independent variable. While the letter 'y' is replaced by f(x) and it refers to the output value or dependent variable.

The notation 'f (x)' is exactly the same as that of 'y'. Even on graphs, y-axis can be labelled with 'f (x)'.

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Answer:

c¹⁵

Step-by-step explanation:

When there are parenthesis like that you multiply the exponents.

Answer:

72 square feet

Step-by-step explanation:

\(4*1.5=6\)

\(8*1.5=12\)

\(6*12=72\)

It takes Sally 4 hours, working alone, to paint one room.

Let's use the variable "x" to represent the number of hours it takes Sally to paint one room. According to the problem, it takes Henry 8 hours longer, or "x + 8" hours, to paint one room.

When they work together, they can paint one room in 3 hours. This means that their combined rate of painting is 1/3 of a room per hour. We can use this information to set up an equation:

1/x + 1/(x+8) = 1/3

To solve for x, we first need to simplify the equation by finding a common denominator:

(3(x+8) + 3x) / x(x+8) = 1

(6x + 24) / x(x+8) = 1

6x + 24 = x^2 + 8x

0 = x^2 + 2x - 24

Using the quadratic formula, we get:

x = (-2 ± sqrt(2^2 - 4(1)(-24))) / (2(1))

x = (-2 ± sqrt(100)) / 2

We can ignore the negative solution since it doesn't make sense in the context of the problem:

x = (-2 + 10) / 2

x = 4

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The correct answer is (b) The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM.

What is a temperature simple definition?

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The complete question is-

The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this information at certain times during a given day. The following temperatures were recorded on a January day in New York City.Time of Day10 AM12 Noon2 PM4 PM6 PM8 PM10 PMTemperature (F)30353636343028Over which period(s) of time is the average rate of change zero? What, if anything, can you conclude about the actual temperature fluctuation within this period?a.The average rate of change of temperature is 0 from 2 PM to 4 PM; Nothing can be concluded about the actual temperature fluctuation.b.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.c.The average rate of change of temperature is 0 from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.d.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; The conclusion that can be drawn is that the temperature will not change for that time period.

9514 1404 393

Answer:

Step-by-step explanation:

Mary and Amaruk are starting 35 -15 = 20 km apart. Their closing speed is 40 +25 = 65 km/h. The time it will take to close the gap between them is ...

  t = (20 km)/(65 km/h) = 20/65 h = 4/13 h ≈ 0.308 h

They will pass each other after 4/13 hours, about 18 minutes 28 seconds.

__

In that time, Mary will have increased her distance from Hall Beach by ...

  d = (4/13 h)(25 km/h) = 100/13 km = 7 9/13 km

Her distance from Hall Beach when she passes Amaruk will be ...

  15 km + 7 9/13 km = 22 9/13 km ≈ 22.7 km . . . . . distance from Hall Beach

The statement "Everybody at the party received a gift" can be written in an if-then form as "If a person is at the party, then they received a gift."

To write the given statement in if-then form, we need to identify the condition (if part) and the consequence (then part) of the statement. In this case, the condition is being at the party, and the consequence is receiving a gift.

The if-then form is a way of expressing a logical relationship between two statements. In this context, the if part (condition) is the antecedent, and the then part (consequence) is the consequent. The if-then form allows us to understand the logical implication between the two parts.

So, the statement "Everybody at the party received a gift" can be rewritten in if-then form as "If a person is at the party, then they received a gift." This implies that being at the party is a sufficient condition for receiving a gift.

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Answer: 3, 3, 1

Step-by-step explanation:

(x+1)³= (x+1)(x+1)²

=(x+1)(x²+2x+1)

=x³+ 3x²+3x+1

Answer:

5.0

Step-by-step explanation:

Using Pythagorean Theorem:

a² + b² = c²

where a =? b= 12 in and c = 13 in

a² + (12)² = (13)²

a² + 144 = 169

a² = 169 - 144

a² = 25

a = √25 = 5

∴ a = 5.0

Pythagoras Theorem is usually applied when finding one missing side of a right-angle triangle.

Answer:

x=40

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

The "|X|" is the absolute value of X, which means the distance of X from zero. Therefore, the value of |-44| is 44.

Answer: 44 ✅

Step-by-step explanation:

Hii! Do you need to know the value of l-44l? No problem! :)

Whenever we see the notation | | around a number (like \(\mid\boldsymbol{55}\mid\)), we should know that all it means is "absolute value".

Absolute value does more than just makes a number positive, it's actually the number's "distance from zero".

Since distance cannot be negative, "absolute value" is always +.

So the "absolute value" of -44 is 44.

Great job, we found the answer!

--

Hope that this helped! Best wishes.

\(\it Reach \quad far. \quad Aim \quad high. \quad Dream \quad big.\)

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(\(\text{ see answer of user "Samurai cook"}\))

\(\bigstar\underbrace\)

Answer:

e=57⁰

d=104⁰

Step-by-step explanation:

in isosceles triangle the side and measures are equal

The curl of the vector field is:

\(=z e^x \hat{\imath}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}-7 x e^z \hat{k}\)

So,

To find the curve:

[Vector Field] Set up [curl F]:

\(Curl F=\left|\begin{array}{ccc}\hat{1} & \hat{\jmath} & \hat{k} \\\frac{\partial}{\partial x} & \frac{\partial}{\partial y} & \frac{\partial}{\partial z} \\7 x y e^z & 0 & y z e^x\end{array}\right|\)

Simplify [3x3 Matrix Determinant] with [curl F]:

\(Curl F=\left|\begin{array}{cc}\frac{\partial}{\partial y} & \frac{\partial}{\partial z} \\0 & y z e^x\end{array}\right| \hat{i}-\left|\begin{array}{cc}\frac{\partial}{\partial x} & \frac{\partial}{\partial z} \\7 x y e^z & y z e^x\end{array}\right| \hat{j}+\left|\begin{array}{cc}\frac{\partial}{\partial x} & \frac{\partial}{\partial y} \\7 x y e^z & 0\end{array}\right| \hat{k}\)

Simplify [2x2 Matrix Determinant] with [curl F]:

\(Curl F=\left[\frac{\partial}{\partial y} y z e^x-\frac{\partial}{\partial z} 0\right] \hat{\mathrm{i}}-\left[\frac{\partial}{\partial x} y z e^x-\frac{\partial}{\partial z} 7 x y e^z\right] \hat{\mathrm{\jmath}}+\left[\frac{\partial}{\partial x} 0-\frac{\partial}{\partial y} 7 x y e^z\right] \hat{\mathrm{k}}\)

The partial derivatives can be differentiated using the basic differentiation techniques listed above under "Calculus":

\(\begin{aligned}&\frac{\partial}{\partial y} y z e^x=z e^x \\&\frac{\partial}{\partial z} 0=0 \\&\frac{\partial}{\partial x} y z e^x=y z e^x \\&\frac{\partial}{\partial z} 7 x y e^z=7 x y e^z \\&\frac{\partial}{\partial x} 0=0 \\&\frac{\partial}{\partial y} 7 x y e^z=7 x e^z\end{aligned}\)

When we substitute our partial derivative values, we get:

\(\begin{aligned}Curl F&=\left(z e^x-0\right) \hat{1}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}+\left(0-7 x e^z\right) \hat{k} \\&=z e^x \hat{\imath}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}-7 x e^z \hat{k}\end{aligned}\)

So, we've discovered the curl of the given vector field.

Therefore, the curl of the vector field is:

\(=z e^x \hat{\imath}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}-7 x e^z \hat{k}\)

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The correct question is given below:
Consider the following vector field. f(x, y, z) = 7xyezi + yzexk (a) find the curl of the vector field.

To determine the probability that the treatment group mean is 15 minutes or greater than the control group mean, we need to analyze the frequencies provided in the table.

From the table, we can see that there are 56 instances where the difference of means is 15 minutes.

Additionally, there are 27 instances where the difference of means is greater than 15 minutes.

To calculate the probability, we sum up the frequencies for differences of means that are 15 minutes or greater:

Frequency = 56 + 27 = 83

Now, we divide the frequency by the total number of rerandomized trials (1,000):

Probability = Frequency / Total number of trials = 83 / 1000 = 0.083

Converting to a percentage, the probability is 8.3%.

Therefore, the correct answer is:

The probability that the treatment group mean is 15 minutes or greater than the control group mean is 8.3%, and the results suggest that the original difference of means could be the result of random chance.  

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Answer:

i think its 25x^2

Step-by-step explanation:

5x×5x is 25x^2, because 5 × 5 = 25, and x × x = x^2

Answer:

C) 15/y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

the lcm of those numbers is 120 I believe.

Answer: F. n = s/180 + 2

Step-by-step explanation:

         To find the equation that solves for n, we will isolate the n variable.

Given:

     S = (n - 2) x 180

Divide both sides of the equation by 180:

     \(\frac{S}{180}\) = n - 2

Add 2 to both sides of the equation:

     \(\frac{S}{180}\) + 2 = n

Reflexive property:

    n = \(\frac{S}{180}\) + 2

                   F. n = s/180 + 2