If the 2nd term is 2 and the 5th term is 432, find the 3rd term of the geometric sequence.

A tablespoon is a volume measurement unit based on a piece of flatware (symbol: Tbsp). The value of 4 tablespoons is equivalent to 0.25 cups.

A metric tablespoon is exactly 15 mL, but a tablespoon in the United States is around 14.8 mL.

In both the imperial and American customary systems of measurement, a cup is a unit of volume.

250 millilitres is the definition of a metric cup.

There are 4.25 tablespoons in 0.25 cups (4 tbsp).

You may use the formula below to convert tablespoons to cups:

16 tablespoons make create a cup.

So, you may divide 4 by 16 to convert 4 tablespoons to cups:

4 tbsp / 16 tbsp/cup equals 0.25 cups.

Hence, 4 tablespoons are equal to 0.25 cups.

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Answer:

sum of all side of Pentagon= 540

10x+6x+4x+3x+x=540

According to question

Answer: r = 5.5%

Step-by-step explanation:

6/12 = 0.5 (years)

(I=Prt) || 1375 = 50000 * r * 0.5

1375 = 25000r

1375/25000 = 25000r/25000

0.055 = r

0.055 * 100% = r

5.5% = r

(Please correct me if I'm wrong)

There were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

Pizza is a dish of Italian origin consisting of a usually round, flat base of leavened wheat-based dough topped with tomatoes, cheese, and often various other ingredients, which is then baked at a high temperature, traditionally in a wood-fired oven. A small pizza is sometimes called a pizzetta.

Calculation of the each kind of pizzas:

Let us assume the number of pepperoni pizzas be x

So,

pepperoni = x

veggie = x - 8

combo = 3x  

Since

The total Pizza is 112

So,

x + x - 8 + 3x = 112

5x - 8 = 112

5x = 112 + 8

5x = 120

x = 24

Now

x - 8 = 16

3x = 72

There were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

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250 milliliters is equal to 0.25 liter

The conversion factor to convert milliliter to liters is 0.001

Therefore, the equation will be,

1  ml = 0.001 liter

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The volume in liters = The volume in ml × conversion factor

Substitute the values in the equation

1 ml = 0.001 liters

250 ml =  0.001 × 250

Multiply the numbers

= 0.25 liters  

Therefore, 250 ml is 0.25 liters

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Answer:

To solve problems using proportional linear relationships, we can use the formula [tex]y=kx[/tex], where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

To solve problems using nonproportional linear relationships, we can use the slope-intercept form of a linear equation, which is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

The value of euros can be converted to dollars by simply multiplying euro by 1.06 so 120 euros be 127.89 dollars.

Unit conversion is the process of converting the dimension of a given quantum between colorful units, frequently by multiplicative conversion factors that alter the value of the measured volume without altering its goods.

The sanctioned currency of 20 of the EU's 27 member countries is the euro( symbol€; law EUR)( EU). By of 2023, this group of countries — officially known as the eurozone or euro area — will have around 344 million residers. One euro is equal to one hundred cents.

The United States bone ( symbol$; law USD; frequently shortened asUS$ orU.S. Bone to separate it from other bone - nominated currencies; also known as the bone ,U.S. bone , American bone , or informally buck) is the sanctioned coin of the United States and multitudinous other nations.

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The measure of the angle of x is 69.

In order to find the measure of one angle, given the measure of the other angle on the same straight line, you must use the relationship between the angles.

When two angles are on the same line and adjacent, they must add up to 180 degrees. This means that the two angles, x degrees and (2x-27) degrees, must add up to 180 degrees. We can use this to solve for x. We can set up an equation to represent this relationship:

x + (2x - 27) = 180

We can now use the distributive property to solve for x.

3x - 27 = 180

Adding 27 to both sides of the equation, we get:

3x = 207

Dividing both sides of the equation by 3, we get:

x = 69

Therefore, the measure of the angle is x = 69 degrees.

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Complete Question:

The measures of two adjacent angles on a straight line are x degrees and (2x-27) degrees. Find x

The temperature at half past eleven would be 2 °C.

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is that the temperature in Austria one morning was -5 degrees Celsius at eight o clock and increased by 2 degrees Celsius every hour until twelve o clock.

We can write the temperature variation as a function of hour {x} as -

T{x} = (- 5 + 2{x})°C

For half past eleven, we will have -

{x} = 3.5

So, we can write -

T{x} = (- 5 + 2 x 3.5)°C

T{x} = 2 °C

Therefore, the temperature at half past eleven would be 2 °C.

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Therefore , the solution of the given problem of linear equation comes out to be conan needs one more tube to put away the remaining 2 tennis balls.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous line is usually referred to as a "math equation mixing numerous variables," even though y / y represent independent components. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations.

Here,

We know that Conan has 5 tubes, and that 2 tennis balls are left unfilled. This means that he has already filled up 5 - 1 = 4 tubes.

Each tube can hold a certain number of tennis balls, so we need to know how many tennis balls each tube can hold. Once we know that, we can figure out how many tubes are needed to hold the remaining 2 tennis balls.

Let's say each tube can hold n tennis balls. Then, the 4 filled tubes have a total capacity of 4n tennis balls. We also know that there are 2 tennis balls left unfilled. Therefore, we can set up the following equation:

4n + 2 = 5n

Simplifying this equation, we get:

2 = n

So each tube can hold 2 tennis balls. Therefore, Conan needs one more tube to put away the remaining 2 tennis balls.

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Sections taken through the narrow width of an entire building are known as transverse sections.

A building is an enclosed structure with a roof and walls standing more or less permanently in one place, such as a house or factory.

Given is a structural analysis blank statement as -

"Sections taken through the narrow width of an entire building are known as __________ sections.

Sections taken through the narrow width of an entire building are known as transverse sections. Those through the long dimension are known as longitudinal sections.

Therefore, Sections taken through the narrow width of an entire building are known as transverse sections.

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The inverse of the sine can be calculated by using the formula sin^-1(x) = arcsin(x)

To calculate the inverse sine (sin^-1) of a value, you can use a scientific calculator or look up the value in a trigonometric table. However, if you want to understand how to do it manually, follow these steps:

Make sure the value you are calculating the inverse sine of is between -1 and 1, inclusive. If it is not, the inverse sine is undefined.

Write down the value you want to find the inverse sine of.

Use the formula: sin^-1(x) = arcsin(x), where x is the value you wrote down.

Substitute the value of x into the formula and calculate the inverse sine using a calculator or by using a series expansion or Taylor series approximation.

The inverse sine function returns a value in radians, so you may need to convert it to degrees if that's the unit you're working with.

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Answer:

[tex]x=12[/tex], PM = 27, OM = 54

Step-by-step explanation:

To find x, we can notice that MP is similar to OP. Therefore, we can create an equation:

[tex]2x+3=4x-21[/tex]

[tex]2x-4x=-21-3[/tex]

[tex]-2x=-24[/tex]

[tex]x=12[/tex]

To solve for PM, we can plug in x from [tex]2x+3[/tex]:

[tex]2(12)+3[/tex]

= 27

To solve for OM, we will need to add OP and PM values and plug in x:

[tex]4x-21+2x+3[/tex]

Plug in x:

[tex]4(12)-21+2(12)+3[/tex]

= 54

Answer:

24km

Step-by-step explanation:

15 min (jogging)

30 min (cycling)

3km/15 min (jogging)

1km/5min (jogging)

4km/5min (cycling)

30÷5= 6

4×6= 24km

Distance covered during riding is 24 km.

Speed of an object is defined as the rate of change of the distance travelled.

Here,

Speed is the distance travelled in a given time.

Total time given, t = 45 minutes

Time taken for jogging, t₁ = 15 minutes

So, time taken for riding, t₂ = t - t₁

t₂ = 45 - 15

t₂ = 30 minutes

Distance covered during jogging, d₁ = 3 km

Therefore speed of jogging, v₁ = d₁/t₁ = 3/15

v₁ = 0.2 km/min

So, speed of riding, v₂ = 4v₁ = 4 x 0.2

v₂ = 0.8 km/min

Therefore distance covered during riding, d₂ = v₂ x t₂

d₂ = 0.8 x 30

d₂ = 24 km

Hence,

Distance covered during riding is 24 km.

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Answer:The width of the rectangle is 1 unit

Step-by-step explanation:Let the length of the rectangle be x

let the breadth be x-5

Since ,area of rectangle=length*breadth

           area = x*(x-5)

           6=x^2-5x

           x^2-5x-6=0

solving the above equation,

x^2-(6x-x)-6=0

x^2-6x+x-6=0

x(x-6)+1(x-6)=0

(x-6)(x+1)=0

x=6 and x=-1

since the breadth cannot have negative value

Hence ,the breadth of rectangle is 1 unit

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Binomial probability distribution of the given experiment is as follows 0.00902, 0.07056, 0.22073, 0.34524, 0.26999, 0.08446. its mean is 3.05 and standard deviation is 0.53196.

The binomial distribution is a type of probability distribution that models the probability of one of two outcomes given a set of parameters. It summarizes the number of trials with the same chance of producing the same result. The value of a binomial is determined by multiplying the number of independent trials by the number of successes.

Given : n = 5

            P = satisfied Americans = 61/100

            Q = 1 – P = 1 – 61/100 = 39/100

Binomial distribution formula   P(x) = ⁿCₓ . Pˣ . Qⁿ⁻ˣ

                                                ⁿCₓ = n!/ x! (n-x)!

a) Binomial table

P(x) = P(0) = ⁵C₀ . (61/100)⁰. (39/100)⁵ = 0.00902

P(x) = P(1) = ⁵C₁ . (61/100)¹ . (39/100)⁴  = 0.07056

P(x) =P(2) = ⁵C₂  . (61/100)² . (39/100)³ = 0.22073

P(x) = P(3) = ⁵C₃ . (61/100)³ . (39/100)² = 0.34524

P(x) = P(4) = ⁵C₄ . (61/100)⁴ . (39/100)¹ = 0.26999

P(x) = P(5) = ⁵C₅ . (61/100)⁵ . (39/100)⁰ = 0.08446

b) mean of binomial distribution = np

                                                     = 5 * 61/100

                                                     = 5 * 0.61

                                                     = 3.05

c) Standard deviation of binomial distribution = √nPQ

                                                                           =√5 * 0.61 * 0.39

                                                                            =  0.53196

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Answer:(10,7)

Step-by-step explanation:

Answer:

(10 , 7)

Step-by-step explanation:

You start at the point (7 , 2)

Moving up 5 units is going up on the y axis, therefore add 5 to 2.

(7 , 7)

Moving to the right 3 times is going to the right on the x-axis, and since moving to the right is positive, add 3 to 7.

[(10 , 7)]

Answer:

x=2sqrt2

Step-by-step explanation:

The legs are equal, thus the sides are x, x, and hypotenuse is 4. This means that x^2+x^2=4^2. Thus, 2x^2=16 => x^2=8 => x= sqrt8 => x=2sqrt2

Answer:

Step-by-step explanation:

isosceles triangles are all similar in that they have 2 sides that are equal.

however, the angles can differ and so they are not all similar in that term

Hugh made 110 kilograms of 9.1% salt solution.

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 "%".

Given that, Hugh poured 100 kilograms of water into 10 kg of salt.

So, the total mass is the sum of the mass of water and the mass of salt.

Thus, 100+10=110 kg.

The ratio between the mass of the salt (10 kg) and the combined mass of the mixture is the concentration.

Now, C=10/110 ×100

= 100/11

= 9.1%

Therefore, Hugh made 110 kilograms of 9.1% salt solution.

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The points and the vertex are (1, 0), (2, 2), (0, 2), (-1, 8) and (-2, 18)

From the question, we have the following parameters that can be used in our computation:

f(x) = 2(x - 1)²

See attachment for the graph

From the attached, the points are (1, 0), (2, 2), (0, 2), (-1, 8) and (-2, 18)

Where the vertex is (1, 0)

We have

y = x^2

f(x) = 2(x - 1)²

The transformation is described as follows:

The input has no restriction

So, we have

Domain: (-∝, ∝)

The output starts or ends at the vertex

So, we have

Range: [0, ∝)

In (a), we have

vertex is (1, 0)

So, we have

(x, y) = (1, 0)

Remove the y coordinate

x = 1

Hence, the axis of symmetry is x = 1

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((30$ x4)+40$)-80$=80$

Answer:

$3,096

Step-by-step explanation:

To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.

The total amount Mr. Quesada will pay back over 24 months is:

$629 x 24 = $15,096

Subtracting the original loan amount, we get:

$15,096 - $12,000 = $3,096

So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.

Answer:

75.4

Step-by-step explanation:

Volume of cylinder=πr2h

=π·22·6≈75.39822

The equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

The equation of the plane that contains the curve with the vector equation r(t) = (t, t3, t) can be found by taking the cross product of two vectors that are on the plane. Let the two vectors be v1 = (1, 0, 1) and v2 = (1, 3t2, 1). Taking the cross product of these two vectors yields v1 x v2 = (3t2, -1, -3t2). This vector is perpendicular to the plane. Therefore, the equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.

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Yes, you can compare two marginal distributions to see if the corresponding two variables are related. This is done by plotting the two distributions and visually inspecting them for evidence of a relationship. Additionally, you can use statistical tests to measure the strength of the relationship between the two variables.

Comparing two marginal distributions can help you identify if there is a relationship between two variables. You can plot the distributions and look for evidence of a relationship such as a linear trend or a pattern of higher or lower values compared to one another. Additionally, you can use statistical tests such as the Pearson correlation coefficient or Spearman's rank correlation coefficient to measure the strength of the relationship between the two variables.

Yes, you can compare two marginal distributions to see if the corresponding two variables are related. This is done by plotting the two distributions and visually inspecting them for evidence of a relationship. Additionally, you can use statistical tests to measure the strength of the relationship between the two .

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Answer:

2700ft³ or 76455.49 litre

Step-by-step explanation:

Given

Length = 25 feet

Width = 18 feet

Height = 6 feet

Formula for Volume of cuboid = Length×Width×Height

So,

Volume of the pool = 25×18×6 = 2700ft³ or 76455.49 liters aprox.