Solve for x.
i will give brainiest please help

The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i

The complex number expression is given as:

[tex]\sqrt{60i - 11}[/tex]

Rewrite as:

[tex]a + bi = \sqrt{60i - 11}[/tex]

Take the square of both sides

[tex]a^2 + 2abi - b = 60i - 11[/tex]

By comparison, we have:

a^2 - b = -11

2ab = 60

Divide both sides by 2

ab = 30

Using a graphical tool, we have:

a = 2,b = 15

So, we have:

a + bi = 2 + 15i

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Answer:

Step-by-step explanation:

base times height

your base is 14 and height is 3

so your answer is 42

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

Answer:

the slope = -2

Answer:

-2

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  g, h, f

Step-by-step explanation:

The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.

Here, you want to list the functions in decreasing order of vertical scale factor:

  g(x) . . . scale factor 4

  h(x) . . . scale factor 2

  f(x) . . . scale factor 1/3

Answer:

please the answer is 240 cubic centimeters

Answer:

12 degrees

Step-by-step explanation:

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

Answer:

1) 57 - 10x = 45 answer: x=−51/5

2) - 3y + 10x = -5 answer: x=3/10y+−1/2 or y=10/3x+5/3

Step-by-step explanation: Hope this help :D

Answer:

1st

Step-by-step explanation:

Hello~

The answer is

-8884

Brainliest please!

Ary~

Step-by-step explanation:

[tex]600 - 9484 \\ = - 8884[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

x = 14

Step-by-step explanation:

arc JL = 180° ( JL is a diameter ), then

arc KL = 180° - 31° = 149° , so

9x + 23 = 149 ( subtract 23 from both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Answer:

X=14

Step-by-step explanation:

360-31-31=298

298/2=149

149-23=126

126/9=14

Answer:

7

Step-by-step explanation: Ok this coming from a 11 year old. if 7x3= 21 then add 4 its 25 simple

Answer:

9

Step-by-step explanation:

4+(18-13)

4+(5)

9

mark me brainliest

Answer:

[tex]4i + 5i = 4i \times (1 + 5) = 4 \times 3 \times 2 \times 1 \times 6 = 144[/tex]

Answer:

$225

Step-by-step explanation:

if 1% of 1700 is 17, then multiply 17 by 15, which i 255. so you spent $225 on tuition

Answer:

x = 80 degrees

Step-by-step explanation:

First look at the upper triangle.  There are two 65 degree angles there, along with two equal sides.  The angles must sum up to 180 degrees.  Therefore:

2(65) + x = 180; thus, the value of x is 50 degrees.

Next, recognize that the vertical angles in the middle of the diagram are equal and are 50 degrees each.  Thus, the smaller triangle has two 50-degree angles.  Again we sum up the angles, obtaining 50 + 50 + x = 180, or x = 80 degrees

Answer: 32 ft

Step-by-step explanation: The ladder and the building and the ground form a right triangle will ladder being the hypotenuse....

pythagorean theorem      hyp2 = 252 + d2

                                                      41^2 - 25^2 = d^2             d =~~ 32 ft

cited from web2.0calc

Answer:

7000

Step-by-step explanation:

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Answer:

Step-by-step explanation:

Rational numbers are the type of numbers that can be written in fraction forms (1/b where a and b are integers and b ≠ 0). Rational numbers also include decimals that are repetitive (0.313131313131) and decimals that end (0.25).

The opposite are irrational numbers that cannot be written in fraction forms and that include decimals that do not end or repeat (0.249654296432926....).

It is good to know a fraction with denomination equal to zero will give an undefined value.

Answer:

D. 2 = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x³ + 3x² = x + 3

x = -1

Step 2: Check

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

Answer: 2.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

Answer:

Scale Factor

Step-by-step explanation:

Sorry if im wrong. I just kinda tried :p

After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).

Inputting n = 261 and p = 1/5 results in:

μ = np = 261 × 1/5 = 52.2

5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)

Calculating the minimal typical value of 2 is as follows:

μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64

The calculation for the maximum typical value + 2 is as follows:

μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76

These values are rounded to the nearest hundredth, giving us:

The range is 41.64 to 62.76.

As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

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Answer:

Minimum: 39.28; maximum: 65.12

Answer:

[tex]Mid(A) = 73[/tex]

[tex]IQR(B) = 8[/tex]

The difference of the medians of class A and class B is between  the interquartile range of either data set.

Step-by-step explanation:

Given

The attached box plots

To answer this, see attached image for how to read a box plot

With reference to the attached image of how to read the box plot;

Solving (a): The median of class A

[tex]Mid(A) = 73[/tex]

Solving (b): IQR of class B

IQR is calculated as:

[tex]IQR =Q_3 - Q_1[/tex]

From the box plot of class B, we have:

[tex]Q_3 = 87[/tex]

[tex]Q_1 = 79[/tex]

So, we have:

[tex]IQR(B) = 87 - 79[/tex]

[tex]IQR(B) = 8[/tex]

Solving (c):

[tex]Mid(A) = 73[/tex]

[tex]Mid(B) = 82[/tex]

[tex]IQR(B) = 8[/tex]

IQR of class A is calculated as:

[tex]IQR =Q_3 - Q_1[/tex]

From the box plot of class A, we have:

[tex]Q_3 = 76[/tex]

[tex]Q_1 = 68[/tex]

So, we have:

[tex]IQR(A) = 78 - 68[/tex]

[tex]IQR(A) = 10[/tex]

The difference (d) between the medians is:

[tex]d =Mid(B) - Mid(A)[/tex]

[tex]d = 82 - 73[/tex]

[tex]d = 9[/tex]

From [tex]smallest[/tex] to [tex]largest[/tex], we have: 8, 9, 10

i.e. IQR(B), d, IQR(A)

Answer:

73

8

about half.

Step-by-step explanation:

The least value, first quartile, median, third quartile, and greatest value of the data are 4, 5, 8, 9.75 and 15 respectively.

The first step is to arrange the number in ascending order: 4, 5, 5, 6, 8, 8, 9, 10, 12, 15

The median is the number in the center of the data set. The number is 8.

First quartile = 1/4 x (n + 1) = 2.75 number : 5

Third quartile = 3/4 x (n + 1) = 8.75 = 9.75

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