List the real and imaginary components: 24 – 3i

The fastest speed a table-tenis ball is 69.92.

According to the statement

we have to find that the fastest speed of a table-tennis ball with the given information.

For this purpose, we know that the

Speed is the rate at which someone or something is able to move.

From the give information:

The fastest speed a table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed which is 5.35.

Now, the speed of the fastest swimming is 5.35

And

the speed of the table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed

The equation become

5.35(13.07)

Then

fastest speed a table-tenis ball = 5.35(13.07)

fastest speed a table-tenis ball = 69.92

So, The fastest speed a table-tenis ball is 69.92.

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Answer: 40.9

Step-by-step explanation:

Given

angle given is \(23^{\circ}\)

\(RC=16\)

Using trigonometry

\(\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9\)

Using cosine formula

\(\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7\)

To get the Prime factorization of 3000 we need to multiply by 5.

When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.

For example, the Prime factorization of 45 is given below

=> 45/5 = 9, 9/3 = 3,  3/3 = 1

=> 45 = 5 × 3 × 3

Here we have

The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5

Let us assume that on multiplying with p,

we will get the factorization of 3000

=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000

=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)  

Her 2 x 2 × 2 × 3 × 5 × 5 = 600

=> p = \(\frac{3000}{600}\)

=> p = 5  

Therefore,

To get the Prime factorization of 3000 we need to multiply by 5.

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Answer:

I think it's c I haven't done those formulas in while

Answer:

A: 0.75 mill

step-by-step explanation:

15/20 = 75/100

0.75 = 75/100

Answer:

3.88888888889

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1 - 5)/(0 + 3)= -6/3 = -2

y - 5 = -2(x + 3)

y - 5 = -2x - 6

y = -2x - 1

Answer:

Test statistic

|Z| = 2.105632 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

There is  difference exist between the drug group and placebo group

Step-by-step explanation:

Step(i):-

Given each group was made up of 150 Hulks. 78 of them reported an improvement from the placebo group.

first sample proportion

                  \(p^{-} _{1} = \frac{78}{150} = 0.52\)

Second sample proportion

                \(p^{-} _{2} = \frac{96}{150} = 0.64\)

a)  Null Hypothesis : H₀ : There is no difference exist between the drug group and placebo group

H₀ : p₁ = p₂

Alternative Hypothesis : H₁ : There is  difference exist between the drug group and placebo group

H₀ : p₁ ≠ p₂

b)

Step(ii):-

\(Z = \frac{p_{1} -p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } }) }\)

 where

            \(P = \frac{n_{1} p^{-} _{1} + n_{2} p^{-} _{2} }{n_{1}+n_{2} }\)

           \(P = \frac{150 X 0.52+ 150 X 0.64}{150+150 }\)

          P = 0.58

         Q = 1- P = 1- 0.58 = 0.42

  \(Z = \frac{p_{1} -p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } }) }\)

 \(Z = \frac{0.52 -0.64}{\sqrt{0.58 X 0.42(\frac{1}{150 } +\frac{1}{150 } }) }\)

Z =   -2.105632

|Z| = |-2.105632| = 2.105632

Level of significance = 0.05

Z₀.₀₅ = 1.96

Final answer:-

|Z| = 2.105632 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

There is  difference exist between the drug group and placebo group

Answer:

orange 9,87

Step-by-step explanation:

Answer:

\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)

Step-by-step explanation:

Given trigonometric equation:

\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:

\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)

Therefore:

              \(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)

  \(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)

\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)

\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)

Simplify the numerator:

\(\dfrac{1-2\cos x}{\sin x}=0\)

Multiply both sides of the equation by sin x:

\(1-2 \cos x=0\)

Add 2 cos x to both sides of the equation:

\(1=2\cos x\)

Divide both sides of the equation by 2:

\(\cos x=\dfrac{1}{2}\)

Now solve for x.

From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:

\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)

Therefore, the values of x in the given interval [0, 2π), are:

\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)

Answer:

y=-1.5x-10

Step-by-step explanation:

standard form is y=mx+b m here is -1.5 -1.5*-4=6 6-10=-4

y=-1.5x-10

Answer:

Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.

Step-by-step explanation:

Answer:

how do you translate?

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

its 120

Step-by-step explanation:

hope this helps

The more recent pump can clean the pool itself in 4 hours, as per the question we have.

Pumps are primarily classified into two broad categories: 1. Kinetic and dynamic pumps. Fluid passing by or through the impeller of a dynamic pump is given velocity and pressure.

Let's refer to the earlier pump's rate as "p1" and the more recent pump's rate as "p2."

The older pump took 12 hours to drain the swimming pool on its own.

Together, the two pumps' operating time equals 3 p1, or 1/12 of the pool's volume each hour.

And if the pool can be drained by the two pumps over 3 hours, so p1 + p2 equals one-third of a water's volume each hour.

We can solve for p2:

p2 = (1/3) - p1

p2 = (1/3) - (1/12)

p2 = 1/4 of the pool's volume per hour.

So the newer pump can drain the pool by itself in 4 hours.

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Answ

Step-by-step explanation:wirugf4

Answer:

38 stickers

Step-by-step explanation:

20+27=47

47+6=53

53-4=49

49-11=38

20+27+6-(4+11)=38 stickers

Answer:

20 band posters

Step-by-step explanation:

120:100= 120/100

After selling 24 movie posters she has sold 24/120 x 100 =20% of them, so she must sell 20% of the posters too, that is 100 x 20% =20.

She must sell 20 posters

Answer:

we will assume a variable X for time which is time between two successive bites and time until next bite.

X = (time between successive mosquito bites) = (time until the next mosquito bite).

According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.

X is a geometric random variable, so

E[X] = 1/p = 10

and

var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90

Answer:

calculator soup will help you with this one

Step-by-step explanation:

Answer:

40÷1+3-(3×7)+7-5 = 24

here's the answer

hope it helps!

Answer:

b

Step-by-step explanation:

b

The seven ordered pairs that fit on the axes of the graph include the following:

In order to use the given polynomial function to complete the table, we would have to substitute each of the values of x (x-values) into the polynomial function and then evaluate as follows;

When the value of x = -3, the output value of this polynomial function is given by;

y = x³ + 6

y = (-3)³ + 6

y = -27 + 6

y = -21

By observing critically the graph (see attachment), we can logically deduce that it represents a polynomial function.

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start by distributing the 6 on the parentheses

Continue by moving the numbers that are not multiplied by x on the right side, and leaving all numbers with the x on the left side

since that is the value for '6x' divide by 6 on both sides

simplify

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

9notebooks

Step-by-step explanation:

5×y≤45( where y is number of notebooks)

$5=1notebook

$45=$45/$5x1

=9

therefore, you'll be able to buy nine notebooks with$45

Answer:

$5n = $45

n = 9

Step-by-step explanation:

Let n represent the amount of notebooks

$5n = $45

Divide each side by 5

$5n/5 = $45/5

n = 9

so the maximum number of notebooks you can buy is 9

Answer:

n order for the product to at least break even, the revenue must be equal to or exceed the cost. To solve for this interval we set R>=C. So,  

45x>=20x+550. Once we solve this equation we get x>=22 so the interval where the product will at least break even

so the answer is B.

The perimeter of the rectangular polygon is given by P = 20.2 units

Given data ,

Let the perimeter of the polygon be represented as P

Now , the value of P is

Perimeter P of rectangle = 2 ( Length + Width )

Now , width is 3.8 and the length is 6.3

On simplifying , we get

P = 2 ( 3.8 + 6.3 )

P = 20.2 units

Hence , the perimeter is P = 20.2 units

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The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

Answer:

6:2 or 1:3

Step-by-step explanation:

Not really sure how to explain this, but I hoped this helped!

Answer:

Kindly check explanation

Step-by-step explanation:

Acceptable = a

Fails = f

For machines X, Y, Z ;

Sample space, S = {aaa, aaf, aff, fff, faa, afa, ffa, faf}

Total elements in sample space = 8

B.)

Elements of the set:

ZF={circuit from Z fails},

XA ={circuit from X is acceptable}.

ZF = {aaf, aff, fff, faf}

XA = {aaa, aaf, aff, afa}

C.)

c. Are ZF and XA mutually exclusive?

Check if ZF n XA = ∅

ZF n XA = {aaf, aff}

Hence, ZF and XA are not mutually exclusive

d. Are ZF and XA collectively exhaustive?

To be collectively exhaustive :

ZF u XA = Sample space

ZF u XA = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, aff, afa, faf, fff} ≠ sample space

Hence, ZF and ZA are not collectively exhaustive.

e. What are the elements of the sets

C={more than one circuit acceptable},

C = {aaa, aaf, faa, afa}

D={at least two circuits fail}.

D = {ffa, faf, aff, fff}

f. Are C and D mutually exclusive?

Check if C n D = ∅

C n D = ∅

Hence, A and D are mutually exclusive

g. Are C and D collectively exhaustive?

To be collectively exhaustive :

C u D = Sample space

C u D = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, faa, ffa, aff, afa, faf, fff} = sample space

Hence, C and D are collectively exhaustive.