Tyler has two cube-shaped storage spaces in his apartment, one large and one big. the small on is 12 with a exponent of 3. what is the volume for both?

The argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is  [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

Complex number:

A complex number is a result of adding a real and an imaginary number. A complex number has the formula a + ib and is usually represented by the symbol z. Both a and b are real numbers in this case. The value 'a' is known as the real part, which is denoted by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.

Argument:

A complex number is represented in polar form by the equation r(cos[tex]\theta[/tex] +isin[tex]\theta[/tex]), where [tex]\theta[/tex] is the argument. Arg(z) denotes the argument function, where z is the complex number, i.e. z = x + iy. The complex argument can be determined by the following formula:

arg (z) = arg (x+iy) = [tex]tan^{-1}[/tex](y/x)      

Here the given complex number is ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )

arg (z) = arg ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )= [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

Therefore,the argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is  [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])

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In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The centroid Z of the triangle TRS. Line sections TW, RV, and SU are created by drawing lines from every point to the center of the opposing side.

We know that the centroid divides the median of the triangle in a ratio of 2: 1.

In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be

RZ / ZV = 2 / 1

RZ / 6 = 2

RZ = 6 x 2

RZ = 12 inches

In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.

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Answer: the type of function is linear.

I hoped this helped!

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Answer:

Angle 1: 141 degrees

Angle 2: 39 degrees

Angle 3: 141 degrees

Step-by-step explanation:

Angle 2 and Angle 4 are equal since they are vertical angles. This means that Angle 2 is equal to 39 degrees.

Angle 1 and Angle 4 add up to 180 degrees. We call these supplementary angles. This means that Angle 1 is equal to 180-39=141 degrees.

Angle 1 and Angle 3 are vertical angles, so Angle 3 is also equal to 141 degrees.

Answer:

x = -2

TU = 4

UB = 2

Step-by-step explanation:

you can add x^2 with 4x+10 and equate it to 6:

x^2 + 4x + 10 = 6

x^2 + 4x + 4

then u can use the roots formula : x = (-b ± √ (b2 - 4ac) )/2a

so it'll be   x = {-4±[√16 - 4(4)]}/2

x= -2

then u can substitute it and find TU and UB

TU= (-2)^2 = 4

UB= 4(-2)+10 = 2

Answer:

-16=0.2b

-16/0.2=b

b= -80 answer

Answer:

In the equation "-16 = 0.2b", b is equal to -80.

Step-by-step explanation:

-16 = 0.2b

Turn the decimal into a fraction. This will make solving simpler.

-16 = [tex]\frac{1}{5}b[/tex]

Multiply both sides by 5.

-80 = 1b

Simplify.

b = -80

Answer: Three times x minus y is five times the sum of y and two times x.

Step-by-step explanation:

the given equation is:  (3x-1,y+5)

The left hand side of the equation may be written as: "Three times x minus y."

The right hand side of the equation may be written as: "Five times the sum of y and two times x."

Hence, the correct option is:  

The height of the isosceles triangle is 8.08 cm.

Given the sides of the triangle are:

a = 9 cm (one side of the triangle)

b = 8 cm ( base of  the triangle)

Therefore, height of the triangle =?

An isosceles triangle's height is determined by measuring perpendicularly from one vertex to the other's triangle base. A triangle's height is one of its crucial parameters since it enables us to determine the triangle's area.

we know that h = √a²₋ b²/4

substitute a and b values in the above formula, to find height:

h = √9² ₋ 8²/4

h = √81 ₋ 64/4

h = √(81 × 4) ₋ 64 / 4

h = √324 ₋ 64/4

h = √260/4

h = √65

h= 8.06 cm

Therefore the height  of the isosceles triangle is 8.06 cm.

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The ratio of circumference/diameter for all circles is π. And the ratio of force/mass for all freely-falling bodies will be g.

Let d be the diameter of the circle. The circumference of the circle will be

C = πd units

The ratio of circumference to diameter for all circles is pie.

C/D = πd / d

C/D = π

Then the ratio of force to mass for all freely-falling bodies will be

The force acting on a free-falling body of mass (m) is mg. Then we have

Force/Mass = mg / m

Force/Mass = g

Where g is the acceleration due to gravity.

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The height of the cylinder is 20 meters.

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula r2h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the material. Check the shape's volume here.

Formula= V = π r² h

According to the given value,

The formula for the volume of a cylinder is V=πr²h.

The cylinder to the right has an exact value of 500π cubic meters.

Its radius is given as 5 meters in the figure.

volume of the cylinder.

V = π r² h

We have,

V = 500π cubic meters

500π cubic meters = πr²h

Find the height of the cylinder.

We have,

500π cubic meters = πr²h

Divide both sides by π

500cubic meters = r²h

We have,

r = 5

500 cubic meters = 5² square meters x h

500cubic meters =  25 square meters x h

Divide both sides by 25

20 meter = h

h = 20 meters

Thus the height of the cylinder is 20 meters.

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Answer:

4 years old

Step-by-step explanation:

3x = x + 8

2x = 8

x = 4

Answer:

4 y/o

Step-by-step explanation:

x = age now

  add 8 years

x+8    and this equals   3 times as old as he is now, or  3x

x+8 = 3x       subtract 'x' from both sides

8 = 2x           divide both sides by 2

x = 4 y/o

Answer:

B. Exactly one unique triangle exists with the given side lengths

Step-by-step explanation:

A triangle has three sides. So if all three sides are the same in length then it is a equilateral triangle. Which means that only one triangle can be formed.

I hope this helps!! Have a good day :D

Answer:

Q=-8

Step-by-step explanation:

Q-2-6

The equation of the line that passes through (1,3) and which is perpendicular to y = 2x ₊ 3 is x ₊ 2y = 7.

Given the equation of the which passes through the point is (1,3)

the line is perpendicular to y = 2x ₊ 3

first we need to determine the slope of the equation.

line is perpendicular to y = 2x ₊ 3

perpendicular means slope (m) = ₋1

but given the in the line equation we have

y = mx ₊ c

m = 2

therefore ₋1 = 2

hence slope m = ₋1/2

Then the line passing through (1,3), substitute the coordinates of the point in the equation of the line:

y ₋ y₁ = m(x ₋ x₁)

take (1,3) as (x₁,y₁)

y ₋ 3 = ₋1/2 (x ₋ 1)

y ₋ 3 = ₋1x/2 ₊ 1/2

y ₋ 3 = ₋x ₊ 1/2

2y ₋ 6 = ₋x ₊ 1

2y ₊ x ₋ 6 ₋ 1 = 0

2y ₊ x ₋ 7 = 0

2y ₊ x = 7

x ₊ 2y = 7

which is in the form ax ₊ by = c

Hence we derived the equation of the line as x ₊ 2y = 7 which is in the form of ax ₊ by = c.

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Answer:

56.25π in²

Step-by-step explanation:

The area of a circle is given by πr², where r is the radius of the circle.

Given that the diameter is 15 inch, let's calculate the radius.

Diameter= 2 ×radius

Radius

= 15 ÷2

= 7.5 in.

Applying the formula for area of circle,

area of circle

= π(7.5)²

= 56.25π in²

Since the question requires for the answer to be in terms of π, we have arrived at our answer.

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Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed

2,40

Dejar:

T = Tomate

n = cebolla

(2 kilograms of t) plus 1 kilogram of n = 8.40

(1 kilogram plus 2 kilograms) equals 7.80.

2t + n = 8,40 - -

t + 2n = 7,80 - -

De (2);

t = 7,80 - 2n

Toggata = 7.80 - 2n en

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2

t = 7,80 - 4,80

t = 3

As a result, the price of 1 kg of celery is $2.40.

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Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.

In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.

But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.

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If a road was made directly from his home to his place of work, its distance will be 16.6 mi.

If a man drives east from his home, makes a left turn at an intersection, and then travels north to his place of work, then the path he travels resembles the sides of a right triangle (see attached photo).

if a road was made directly from his home to his place of work, then this path will be the hypotenuse of the triangular path.

Using Pythagorean theorem, we can solve for the distance of the road.

c^2 = a^2 + b^2

where c is the distance of the road

a is the distance he travels to the east

b is the distance he travels up north

c^2 = a^2 + b^2

c^2 = (14 mi)^2 + (9 mi)^2

c^2 = (196 + 81) mi^2

c^2 = 277 mi^2

c = 16.64331698 mi

distance of the road = c = 16.64331698 mi

Rounding off to the nearest tenth of a mile:

distance of the road = 16.6 mi

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Answer:

66

Step-by-step explanation:

Step-by-step explanation:

x1=2 , y1= -8

x2=5 , y2=-6.

distance= rootunder x2-x1 whole square + y2-y1 whole square

=(5-2)whole square + (-6-(-8)) whole square

= root under 9+4

=rootunder 13 units

A) A translation takes a line to a parallel line or itself.

Answer: A) A translation takes a line to a parallel line or itself.

Step-by-step explanation:

Answer:

2,3,4,6,8

Step-by-step explanation:

prime factorization: 2^3×3×7 which has: 2, 3, 4, 6, 8

Answer:

It is divisible by 1, 2, 3, 4, 6, 7, 8

Step-by-step explanation:

Everything is divisible by one, so this is obvious.

168 is an even number, therefore being able to be divided by 2

1+6+8=15 which is in the 3 times tables (3x5=15)

If the last two digits are divisible by 4 (which 68 is) then you can divide it by 4.

168 doesn't end in 5 or 0 so it can't be divided by 5

This number can be divisible by 2 and 3 so it can be divided by 6

160 is divisible by 8 so if you add 8 it is divisible.

1+6+8=15 again which is not divisible by 9

It doesn't end in 0 meaning it cannot be divisible by 10

Hope this helped! <3

Answer:

189

Step-by-step explanation:

The difference between consecutive terms of an arithmetic sequence, known as the common difference  is given by
d = a(k) - a(k-1) where k = 1,2,3 ....n

We have the 5th term as a(5) = 9

The 6th term is 9 + d

The 7th term is 9 + 2d

The 8th term is 9 + 3d

Each successive term adds a d to the previous term

We have 8th term = 27

So 9 + 3d = 27
3d = 27 - 9   (subtract 9 from both sides)

3d = 18  

Divide above by 3 on both sides to get

d = 18/3 = 6  

So the common difference is 6

Let's figure out how to calculate the 31st term

We can see that the 5th term can be expressed as
9 + 0d = 9 + 0.6 = 9

The sixth term is
9 + 1d = 9 + 1(6) = 9 + 6 = 15

The seventh term is 9 + 2d = 9 + 12 = 21 and so on

Therefore the general equation for the nth term, given the 5th term

is
a(n) = a(5) + (n - 5)(6) 9 + 6(n - 5)

So the 31st term is

a(31) = 9 + 6(31-1)  9 + 6 x  30 = 9 + 180 = 189

Answer: 31st term is 189

Answer:

type 1 in a1 type 2 in a2, (or whatever ur preferred no.s are),then heighlight both cells, then go to the bottom right corner of a2 and drag down or double click

Step-by-step explanation:

Drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.

Excel is a software in which we can process large amount of data and data handling easily and effectively, Excel can be used in Data analysis.

in a1 type 1 Type 2 in cell a2 (or whatever your chosen numbers are), highlight both cells, and then drag down or double-click the bottom right corner of a2.

Thus, drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.

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Answer:

50.96 days can be rounded to 51

73381
1223
51

Step-by-step explanation:

Too bad I can't see the choices. I will give the numbers both as exact figures rounded to integers and you have to choose the closest to these.

Part A

50.96 days

Part B

6.6043 x 10⁵ gallons at 9 gallons per minute = (6.6043 x 10⁵)/9 = 660,430/9 = 73,381.11 gallons per minute  rounded to 73,381 minutes

73,381 minutes = 73,381 /60 = 1223.02  hours 1223  hours

1223 hours = 1223/24 = 50.96 days rounded to 51 days

Hope that helps. Ask if you need further info

The individuals of a set are the various data or variable of a data set.

The study's participants or study subjects are referred to as individuals. The trait of the person being measured or observed is known as a variable. For instance, if we were to do a research on climbers of Mount Everest, the participants would be the real climbers who succeeded in reaching the summit.

A categorical variable places each individual in to a category such as male or female.

A quantitative variable has numerical values that measure some characteristic of each individual, such as height in centimeter or salary in dollars.

The problem deals with the concept of types of variables. We use the definition of variables to identify/determine the type variable from the known information.

The individuals in the data set are vehicles or cars.

The given information is related to the different types of cars and its model, and specifications. Hence, the vehicles or cars are individuals in the data set.

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The rate of change in the submarine's elevation in feet per second is 5.2

According to the question ,

  She starts 174 feet below sea level

after 15 minutes she reaches 252 feet below sea level

distance travel in 15 minutes  = [tex]\frac{252 - 174}{15}[/tex]

                                                  = [tex]\frac{78}{15}[/tex]

                                                  = [tex]\frac{26}{5}[/tex]

                             Round off [tex]\frac{26}{5}[/tex]  =   5.2

There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.

Here some Rounding Examples :

Consider the number 8.9163

8.9163 rounded to the nearest tenth is 8.9

Because 9 is followed by 1 and 1 is less than 5.

8.9163 rounded to the nearest hundredth is 8.92

Because 1 is followed by 6 and 6 is greater than 5.

8.9163 rounded to the nearest thousandth is 8.916

Because 6 is followed by 3 and 3 is less than 5.

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The average hourly change in tub fullness is ₋1/13.

Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.

After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.

the average hourly change in tub fullness = ?

subtract the initial quantity from the quantity left after 6 1/2 hours.

⇒ 2/3 ₋ 1/6

= 1/2

Divide the quantity by 6 1/2 hours.

time is represented in improper fraction, convert it into proper fraction.

6 1/2  = 12 ₊ 1/2

= 13/2

⇒ 1/2 ÷ 13/2

= 1/13

the statement says the quantity decreases,

so ₋1/13

therefore the average hourly change in tub fullness is ₋1/13

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The value of the radius r is 9.35 cm.

The dimensions of the triangular prism is 62 cm × 62 cm × 85 cm.

The volume of the prism will be:

Volume = (1/2) × 62 × 62 × 85

Volume = 163370 cm³

Now,

The volume of solid removed: The volume of remaining solid = 1 : 6

Therefore,

The solid removed = ( 1 / 7 ) of the total volume

Solid removed = ( 1 / 7 ) × 163370

Solid removed = 23338.57 cm³ which is the volume of the cylindrical hole.

Now, the volume of the cylinder is:

V = π (r)² h

23338.57 = π (r)² × (85)

23338.57 = (3.142) × (r)² × (85)

23338.57 = 267.1 r²

r² = 87.38

r = √(87.38)

r = 9.35 cm

The surface area of the triangular prism:

A = (1/2) (b) (h)

A = (1/2) (85)(62)

A = 2653 cm²

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