What is the simplified form of V180?

To show h(t) = |r(t)|², where r(t) is a complex-valued function, we need to first find the magnitude of r(t) and then square it.

Let r(t) = x(t) + i y(t) be a complex-valued function, where x(t) and y(t) are the real and imaginary parts of r(t), respectively. The magnitude of r(t) is given by |r(t)| = √(x(t)² + y(t)²), which is the distance of the point (x(t), y(t)) from the origin in the complex plane.

To find |r(t)|², we simply square the magnitude, i.e., |r(t)|² = (x(t)² + y(t)²).

Therefore, h(t) = |r(t)|² = (x(t)² + y(t)²),

which is the sum of the squares of the real and imaginary parts of r(t).

In the case where r(t) is a real-valued function, i.e., y(t) = 0, then h(t) reduces to h(t) = r(t)².

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Answer:

There are 20 cupcakes covered with sprinkles.

Step-by-step explanation:

To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:

Total amount of cupcakes=120

cupcakes covered with peanuts=1/5*120=24

cupcakes covered with chocolate chips=1/3*120=40

cupcakes covered with coconut=36

Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:

cupcakes covered with sprinkles=120-24-40-36

cupcakes covered with sprinkles=20

According to this, the answer is that there are 20 cupcakes covered with sprinkles.

Answer:

y = ¼(x-4)

Step-by-step explanation:

Before solving the question, let's look at one example,

In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).

Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),

3=k(16-4)

k=3/12

k=1/4

After that, substitute the k value into the equation,

Answer:

h = 289 feet

Step-by-step explanation:

Comment

You need two givens to use in the formula to solve for the third.

Formula

v = sqrt(2*g*h)

Givens

V = 136 ft/s

g = 32 ft/s^2

h = ?

Solution

v = sqrt(2*g*h)                  Put the givens into the formula.

136 = sqrt(2* 32 * h)         Square both sides

136^2 = sqrt(2*32*h)^2   Expand

18496 = 64* h                  Divide by 64

18496/64 = 64*h/64  

289 feet = h

So the object must fall 289 feet before it reaches 136 m/s

Answer: its a little blurry not to be rood :c

Step-by-step explanation:

Answer:

2:7

Step-by-step explanation:

Step-by-step explanation:

(6x+3)x(2x-3)

6x x 2x=12x^2

3 x -3=-9

12x^2-9

Idk if you need to simplify more but I hope it helps!

Answer:

B thak you very mvuhb:)

Step-by-step explanation:

Step-by-step explanation:

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Answer:

2 años.

Step-by-step explanation:

De la pregunta anterior, se obtuvieron los siguientes datos:

Principal (P) = $ 160,000

Intereses (I) = $ 15,000

Tasa (R) = 5,5%

Tiempo (T) =?

Así, podemos obtener el tiempo que tarda el préstamo de $ 160.000 en generar un interés de $ 15.000 a una tasa de interés simple del 5,5% de la siguiente manera:

I = PRT / 100

15000 = 160000 × T × 5.5 / 100

15000 = 880000 × T / 100

15000 = 8800 × T

Dividir ambos lados por 8800

T = 15000/8800

T = 1,7

T ≈ 2 años

Por lo tanto, tomará aproximadamente 2 años.

The exponential smoothing forecast for next period is 63.2.

A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.

Now,

Given:

To find: Simple exponential smoothing forecast with α = 0.4 for next period.

Finding:

Now, by the concept of exponential smoothing, forecast for next period will be given by:

Ft + 1  = α Dt + (1 - α)F,

where,

Ft+1 = the next forecast,

α = weighing factor,

Dt = actual value for this period,

F = forecast value for the current period,

Substituting the values in the above expression:

=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62

=> Ft + 1 = 26 + 37.2

=> Ft  + 1 = 63.2

Hence the exponential smoothing forecast for next period is 63.2.

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The slope of the line in the picture is 2.8

To calculate the slope of the line, we make use of two points on the line

The two points to use are

(0, 0) and (25, 70)

The slope of the line is then calculated as

Slope = (y2 - y1)/(x2 - x1)

So, we have

Slope = (70 -0)/(25 - 0)

Evaluate

Slope = 2.8

Note that the slope can also be regarded as the constant average rates of change or the gradient

Hence, the slope of the line in the picture is 2.8

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To solve this problem, we can use the equation relating angular speed, angular displacement, and time:

Angular speed (ω) = Angular displacement (θ) / Time (t)

In this case, the wheel makes 70.0 full revolutions, which is equivalent to an angular displacement of 70.0 * 2π radians. The time interval is given as 3.00 seconds.

We can rearrange the equation to solve for angular speed:

Angular speed (ω) = (Angular displacement (θ)) / (Time (t))

ω = (70.0 * 2π) / 3.00

To calculate the angular speed, we substitute the given values into the equation: ω = (70.0 )(2π) / 3.00 ≈ 369.8 radians/second

Therefore, the angular speed of the wheel is approximately 369.8 radians/second.

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Answer:

x^2+3x-28

Step-by-step explanation:

Answer:

The answer is x^2  3x 28

Step-by-step explanation:

Answer:

The answer is True. Just trust me on this one.

Answer:

   First, we multiply:

   9/100 multiplied by 70

   We get 6.3 as the answer.

   Now we add 70+6.3

Step-by-step explanation:

The answer would be 76.3 hoped this helped pl s give me brainliest

have a good day :)

Answer:76.3

Step-by-step explanation:

9% of 70 is 6.3.

Since it is increased, add 6.3 to 70.

You get 76.3

An isoline that connects all points of highest mean temperature on a world map is called the highest mean temperature isoline.

An isoline is a line on a map that connects points of equal value for a particular variable. In this case, the isoline connects all points of the highest mean temperature, indicating regions with the highest average temperatures.

Therefore, it is referred to as the "highest mean temperature isoline." The other options mentioned are not specifically related to the concept described.

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To expand and simplify the expression 6(3c+4)-3(2c-4), we can use the distributive property to multiply each term inside the parentheses by the respective coefficient. Then, we can simplify by combining like terms.

6(3c+4) - 3(2c-4)

= 18c + 24 - 6c + 12 [Applying the distributive property]

= (18c - 6c) + (24 + 12) [Combining like terms]

= 12c + 36 [Simplifying further]

So, the expanded and simplified form of 6(3c+4)-3(2c-4) is 12c + 36.

Answer:

12x +36

Step-by-step explanation:

We will split this into two different equations 6(3c+4) and 3(2c-4)

To expand the first part we must multiple each number in the parentheses by the outside number which is 6* 3c= 18c and 6*4= 24

We must do the same process for the second part, but this time there is a negative sign before the three so it is -3*(2c) = -6c and -3*-4= 12

Now that we have it fully expanded we must now add like terms:

18c-6c = 12c

24+12 = 36

Combined the new equation is 12x +36

Answer:

Answer= 17,121

Step-by-step explanation:

439

x39

3951

1317 then you add

Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

The following statements are true based on the given information:

- The largest total number of electronic devices sold was on Wednesday.

- The smallest number of TVs sold was on Monday.

- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)

- On Tuesday, more tablets were sold than any other type of electronic device.

A graph is a way to represent a lot of data in such a visual format.

Hence, The correct statements are A, B, and D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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Answer:

A. 70>5g+61

Step-by-step explanation:

$5 per gigabyte means $5g

$61 + 5g

he keeps his budget lower than $70 so,

5g + 61 < 70

The probability that it will snow on at least one of the two consecutive days is 0.43, or 43%.

First, It snows on the first day and snows on the second day.

The probability of snowing on the first day is 0.4,

and, the probability of snowing on the second day is 0.7.

Probability = 0.4 x 0.7 = 0.28

Scenario 2: It snows on the first day but does not snow on the second day.

Probability = 0.4 x (1 - 0.7) x 0.15 = 0.06

Now, the probability of not snowing on the first day is 1 - 0.4 = 0.6,

and the probability of snowing on the second day is 0.15.

Probability = 0.6 x 0.15 = 0.09

Now, let's sum up the probabilities of the three scenarios to find the overall probability:

Overall Probability

= Probability of Scenario 1 + Probability of Scenario 2 + Probability of Scenario 3

= 0.28 + 0.06 + 0.09

= 0.43

Therefore, the probability that it will snow on at least one of the two consecutive days is 0.43, or 43%.

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Answer:

-4

Step-by-step explanation:

Substitute \(x = 2\) in to the function

\(f(2) = 2^2 -5(2) + 2\)

= -4

The parametric representation for torus is x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

Parametric equation are the set of equations that express a set of quantities as explicit function of the numbers of independent variables known as parameter

Parametric representation are generally non unique so that the quantities may be expressed by the number of different parameterizations

According to the question,

The torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.

z = a sin a

y = |PQ| and x = |OP|

but , |OQ| = |OR| + |RQ| = b + a cos a

sin ∅ = |PQ| / |OQ|

So that , y = |OQ| sin ∅ = (b + a cos a ) sin ∅

Similarly ,

cos ∅ = |OP| / |OQ|

so that x =  (b + a cos a ) cos ∅

Hence , a parametric representation for a torus is

x = bcos ∅ + a cos acos ∅

y = b sin ∅ + a cos a sin ∅

z = a sin a

where , 0 ≤ a ≤ 2π , 0 ≤ ∅ ≤ 2π

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The critical values for a decision rule at a level of significance of 0.10 (i.e., a 10% significance level) depend on the type of hypothesis test you are conducting and the specific distribution you are using.

The decision criteria is based on certain test statistic results (for example, reject H0 if Z > 1.645). A given test's decision rule is determined by three factors: the research or alternative hypothesis, the test statistic, and the degree of significance.

A crucial value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.

Critical values for a hypothesis test are determined by a test statistic that is particular to the type of test and the significance level, alpha, which specifies the test's sensitivity.

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The domain of the function 8 - \((x-3)^{2}\) is R which is all the real numbers.

What is domain of a function?

The set or grouping of all potential values that may be used in the function is known as the domain.

We are given a function as 8 - \((x-3)^{2}\).

Now, in order to find the domain, we need to find the values where the function is not defined for a value of x.

But, there is no such value for x where the function is not defined.

This means that all values of x give an output.

So, the domain is the set of all the real numbers.

Hence, the domain of the given function is R.

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At 12 seconds, the cart will be moving at 24 cm per second.Rebecca is using a fan cart and measuring the rate of the cart at different times.

Rebecca is using a fan cart and measuring the rate of the cart at different times. At 10 seconds, the cart has a speed of 20 cm per second. To calculate the speed at 12 seconds, you can use the formula rate x time = distance. The rate is the speed of the cart at 10 seconds, which is 20 cm per second. The time is the difference between 10 seconds and 12 seconds, which is 2 seconds. Thus, the equation becomes 20 cm/s x 2s = 40 cm. Therefore, the speed at 12 seconds is 24 cm per second.

At 12 seconds, the cart will be moving at 24 cm per second.

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Answer:

The answer is 84000 milligrams

Step-by-step explanation:

The formula is to multiply the mass value by 1000

Answer:

84000 mg

Step-by-step explanation:

1 gram = 1000 mg so 84 times 1000 is 84000

Answer:

4455

Step-by-step explanation:

135 pages x 33 lines a page = 4455 lines.

The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:

D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The mean of the sampling distribution of p is of:

0.388.

The standard deviation of the sampling distribution of p is of:

0.0184.

The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:

As long as these two conditions are respected:

The values of the parameters in this context are given as follows:

N = 30000, n = 700, p = 0.388.

Hence the conditions are:

Then the shape is approximately normal and option D is correct.

The mean of the distribution is of:

\(\mu = p = 0.388\)

The standard error of the distribution is of:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184\)

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