Write the complex number in polar form:

Answer:

Step-by-step explanation:

5/7

Sum of a geometric series is a/(1-r) = 1/(1-(-2/5)) = 5/7

Answer:

15 ways

Step-by-step explanation:

There are 6 choices available for the first seat

There are 5 remaining choices for the second seat.

6(5) = 30 possible combinations

however, as the two seats are of equal power, the combination of AB is equal the the combination of BA etc, This eliminates half of the options.

Answer:

x = ±4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Move 16 to the other side

[tex]x^2=16[/tex]

Take the square root of both sides

[tex]\sqrt{x^2}=\sqrt{16}\\x=\pm4[/tex]

I hope this helps!

Answer: C

Step-by-step explanation:

9514 1404 393

Answer:

  = -8x +24w +16

Step-by-step explanation:

The factor outside multiplies each term inside parentheses.

  -8(x -3w -2) = (-8)(x) +(-8)(-3w) +(-8)(-2)

  = -8x +24w +16

Answer:

32

Step-by-step explanation:

24/3=8, 24+8=32

that's how I think of it

(8+3)(3+5)=88

88+(39+491)= 618.

88+(9+491)= 588

88+(24+152)= 264.

sorry could not find the last ansswer..

Answer:

[tex]P(80/100<x<100/100)=0.08[/tex]

Step-by-step explanation:

We are given that

Mean,[tex]\mu=68.5[/tex]%=68.5/100

Standard deviation, [tex]\sigma=8.2[/tex]%=8.2/100

We have to find the probability that a student who wrote the examination had a mark between 80% and 100%.

[tex]P(80/100<x<100/100)=P(\frac{80/100-68.5/100}{8.2/100}<\frac{x-\mu}{\sigma}<\frac{100/100-68.5/100}{8.2/100})[/tex]

[tex]P(80/100<x<100/100)=P(1.40<Z<3.84)[/tex]

We know that

[tex]P(a<Z<b)=P(Z<b)-P(Z<a)[/tex]

Using the formula

[tex]P(80/100<x<100/100)=P(Z<3.84)-P(Z<1.40)[/tex]

[tex]P(80/100<x<100/100)=0.99994-0.91924[/tex]

[tex]P(80/100<x<100/100)=0.0807\approx 0.08[/tex]

Step-by-step explanation:

x=10, y=15

x-y = -5

n=10, m=2

n-m= 8

f=5, g=10

f+2g

5+2(10)

=25

Answer:

In my points of view brand D should elimininate.In table have show the brand of D.If I am wrong I am sorry for talking 5pbt

The brand B must be eliminated since it has highest percentage 4.79%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Brand A percentage = 40/913 ×100

= 4.38%

Brand B percentage = 38/792 ×100

= 4.79%

Brand C percentage = 21/626 ×100

= 3.35%

Brand D percentage = 15/451 ×100

= 3.32%

Therefore, brand B must be eliminated since it has highest percentage 4.79%.

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Answer:

[tex]base = 14cm \\ height = 17cm[/tex]

Step-by-step explanation:

Let the length of the base be x

So length of the base = x

height = x +3

[tex]area \: \: of \: \: a \: \: triangle = \frac{1}{2} \times b\times h \\ 119 = \frac{1}{2} \times x \times (x + 3) \\119 = \frac{ {x}^{2} + 3x }{2} \\ 119 \times 2 = {x}^{2} + 3x \\ 238 = {x}^{2} + 3x \\ 0 = {x}^{2} + 3x - 238 \\ {x}^{2} + 3x - 238 = 0 \\ {x}^{2} + 17x - 14x - 238 = 0 \\ x(x + 17) - 14(x + 17) = 0 \\ (x - 14)(x + 17) = 0 \\ \\ x - 14 = 0 \\ x = 14 \\ \\ or \\ x + 17 = 0 \\ x = - 17 \\ \\ length \: \: cannot \: \: be \: \: given \: \: as \: \: a \: \: negative \: \: number \: \: \\ \\ so \\ \: \: base \: = 14cm \\ height = x + 3 \\ = 14 + 3 \\ = 17cm[/tex]

Answer:

The directrix is y=6 and focus is (0,4)

The equation of the parabola is,

20-4y=x²

9514 1404 393

Answer:

  x - 5,682,953

Step-by-step explanation:

If x is the number of women, and the number of men is 5,682,953 less, then the number of men is x -5,682,953

Answer:

rectangular equation, or an equation in rectangular form is an equation composed of variables like xx and yy which can be graphed on a regular Cartesian plane. For example y=4x+3y=4x+3 is a rectangular equation.

A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x,y)(x,y) , are represented as functions of a variable tt .

x=f(t)y=g(t)x=f(t)y=g(t)

These equations may or may not be graphed on Cartesian plane.

Step-by-step explanation:

I hope this helps

Answer:

Storage solution;  deionized water; stabilizes

Step-by-step explanation:

A pH scale measures the concentration of hydrogen ions in acidic and alkaline solutions.

In chemistry, pH literally means the power of hydrogen ions and it is a measure of the molar concentration of hydrogen ions in a particular solution; thus, specifying the acidity, neutrality or basicity of any chemical solution.

Mathematically, the pH of a solution is given by the formula;

[tex] pH = -log_{10}(H^{+}) [/tex]

On a pH scale, a solution with a pH of 7 is neutral, a solution with a pH below 7 is acidic and it's basic (alkaline) when it's pH is above 7.

A pH meter can be defined as a scientific instrument or device designed and developed for the measurement of the hydrogen-ion concentration in water-based solutions, in order to determine their level of acidity or alkanility.

As a general rule, when using a pH meter to take a measurement, you should keep it in a storage solution until it is needed. Also, a deionized water should be used to rinse the pH meter and gently pat dry.

Furthermore, the pH meter should be placed in a given sample solution and a reading of the measurement taken when the pH of the solution stabilizes

When taking a measurement with a pH meter, keep the instrument in the storage solution until it is needed. Rinse the pH meter with distilled water and gently pat dry.

The pH meter has been the instrument used for the measurement of the hydrogen ion concentration in a sample. The instrument has consisted of a probe that has been placed in the storage medium when it is not in use.

The working procedure of the pH meter has required the washing of pH meter with the distilled water and properly removing the excess water from the probe by pat dry.

The probe has been immersed in the sample and the pH has been recorded. After the experiment, the instrument has been again washed with the distilled water and get stored in the storage solution.

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Answer:

$6

Step-by-step explanation:

1.5 × 2 = 3

1 liter = $3

3 × 2 = 6

2 liters of kerosene is $6

Where are the statements?

Answer:

We can conclude that the population mean work week for men exceed 40 hours.

Step-by-step explanation:

Given that :

Mean, xbar = 45.6

Standard deviation, s = 14.6

Sample size, n = 893

x = 40

Hypothesis :

H0 : μ = 40

H1 : μ > 40

Using test statistic for one sample t test :

Test statistic = (xbar - μ) ÷ (s/√(n))

Test statistic = (45.6 - 40) ÷ (14.6/√(893))

T = (5.6 / 0.4885703)

Test statistic = 11.46

Using the Pvalue approach :

Reject H0 : if Pvalue < α

Pvalue for test statistic of 11.46 will be approximately 0 (Extremely low)

Hence, Pvalue < α ; We reject H0 ; and conclude that population mean work week for men exceed 40 hours

Answer:

I belive i is 5

Step-by-step explanation:

Answer:

y = 17x

$595

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{85 - 51}{5 - 3}[/tex] = [tex]\frac{34}{2}[/tex] = 17  (find the slope, gradient or rate of change)

The y intercept is 0. Zero hours = 0 charge.

y = 17(35)

y = 595

Answer:

Distributive property (-5 is being multiplied to x and - 6)

Addition property of equality (5x is being added in both side of the equation)

Division property of equality (15 is being devided in both side of the equation)

Brainliest please~

The reason for each step will be

Distributive property (-5 is being multiplied to x and - 6)

Addition property of equality (5x is being added in both sides of the equation)

Division property of equality (15 is being divided into both sides of the equation)

We can solve mathematical equations thanks to algebra's inherent characteristics. The algebraic properties are distributive property, addition property of equality, and division property of equality.

Given expressions are:-

-5x + 30 = 10x

30 = 15x

2 = x

-5x + 30 = 10x ⇒ Distributive property (-5 is being multiplied to x and - 6)

30 = 15x ⇒ Addition property of equality (5x is being added in both sides of the equation)

30 = 15x ⇒ Division property of equality (15 is being divided into both sides of the equation)

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Answer:

(f - g)(2) = -8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

g(x) = 5x + 2

Step 2: Find

Answer:

so required angles are 50.7°and 129.3°

Step-by-step explanation:

Let the angle be x

another angle = x + 78.6°

so,

x + x + 78.6° = 180° {being sum of supplementary angle}

so, 2x + 78.6° = 180°

or, 2x = 180° - 78.6°

or, x = 101.4/2

so, x = 50.7°

so another angle = x + 78.6°

= 50.7° + 78.6°

= 129.3°

Answer:

y = 100 - 8(n - 1)

Step-by-step explanation:

I. if n = 1 or 1st year = 100 - 8(1-1) is 100

  if n = 2 or 2nd year = 100 - 8(2-1) is 92

  if n = 3 or 3rd year = 100 -8(3-1) is 84

Hope it'll help.

Answer:

9.5 seconds pass before the object reaches the ground.

Step-by-step explanation:

Height of the ball:

The height of the ball after t seconds is given by the following equation:

[tex]h(t) = -16t^2 + 1444[/tex]

Find how many seconds pass before the object reaches the ground.

This is t for which h(t) = 0. So

[tex]h(t) = -16t^2 + 1444[/tex]

[tex]-16t^2 + 1444 = 0[/tex]

[tex]16t^2 = 1444[/tex]

[tex]t^2 = \frac{1444}{16}[/tex]

[tex]t^2 = 90.25[/tex]

[tex]t = \pm \sqrt{90.25}[/tex]

Since it is time, we only take the positive value.

[tex]t = 9.5[/tex]

9.5 seconds pass before the object reaches the ground.

Answer:

D ( It may be because I think other two are non relative )

Answer:

b) 1\2

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Put the given numbers in the relevant formula and do the arithmetic.

right cylinder

   V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³

cone

  V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³

pyramid of unknown shape

  V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³

square pyramid

  V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³

Now we have to,

find the required value of x.

Let's begin,

→ 3x-2 = 2(x-5)

→ 3x-2 = 2x-10

→ 3x-2x = -10+2

→ x = -8

Hence, value of x is -8.

Answer:

x = -8

Step-by-step explanation:

3x - 2 = 2 ( x + 5

Solve for x.

Let's solve,

3x - 2 = 2 ( x + 5 )

Step 1:- Distribute 2.

3x - 2 = 2 × x + 2 × 5

3x - 2 = 2x - 10

Step 2 :- Move constant to the right-hand and change their sign.

3x = 2x - 10 + 2

Step 3:- Add -10 and 2.

3x = 2x - 8

Step 4 :- Move variable to the left-hand side and change their sign.

3x - 2x = -8

Step 5 :- Subtract 2x from 2x.

x = -8

Hence, value of x = -8.

Answer:

- q

Step-by-step explanation:

p - ( p + q )

= p - p - q

= - q

p - q - p

= p - p - q

= - q

Common difference is - q.