Thanks for helping. 15 points who can explain y its the answer

In mathematics, the term "orthogonal" refers to a relationship between two objects where they are perpendicular or at right angles to each other.

More generally, it refers to a relationship where two objects are independent or uncorrelated with each other. For example, in Euclidean geometry, two lines are orthogonal if they meet at a right angle. In linear algebra, two vectors are said to be orthogonal if their dot product (also known as inner product) is zero. Similarly, in statistics, two variables are said to be orthogonal if they have a correlation coefficient of zero, indicating that they are uncorrelated.

The term "orthogonal" is also used in various other fields, such as signal processing, computer science, and quantum mechanics, with similar meanings of independence, uncorrelatedness, or perpendicularity.

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−13w−7

Explanation:
−6w+(−8)+1+(−7w)

Add −8 and 1 to get −7.

−6w−7−7w

Combine −6w and −7w to get −13w.

−13w−7

Answer: -13w-7

-6w - 8 + 1 -7w

-6w + - 8 + 1 + -7w

A liter is a metric unit of volume, while a milliliter (ml) is a subunit of a liter. There are 1,000 milliliters in one liter.

This means that to convert liters to milliliters, you can multiply the number of liters by 1,000. Conversely, to convert milliliters to liters, you would divide the number of milliliters by 1,000.

For example, if you have 2.5 liters of water, you can convert this to milliliters by multiplying 2.5 by 1,000, which gives you 2,500 milliliters. This conversion is commonly used in fields such as chemistry and medicine, where small amounts of liquids are measured in milliliters.

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The value of x in the two congruent triangles is 3.9 and length CB is 53.9.

The value of x can be determined by applying the principle of congruent theorem.

The congruent theorem states that, if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.

( 11x + 11 ) / 77 = 21 / 30

11x + 11 = 53.9

11x = 53.9 - 11

11x = 42.9

x = 42.9 / 11

x = 3.9 units

The length of CB = ( 11 x 3.9 ) + 11 = 53.9

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Answer: 13

Step-by-step explanation:

Firstly, you would plug in the values that you were given for x and y into the equation.

((4 * (3) * (2)) + (2))/2 = 13

Answer:

13

Step-by-step explanation:

(4xy+y) ÷ 2

= (4x3x2+2) ÷ 2

= 26 ÷ 2

= 13

It is not possible to get 8 aces from a standard 52 cards deck. The indicated degree of likelihood as a probability value is 0 (Zero).

The procedure for probability states that the possibility of an occurrence occurring, or P(E), equals the proportion of the number of favorable outcomes to the number of total outcomes.

Mathematically,

Possibility (E) = favorable outcomes/total outcomes.

We know that there are four aces in total in a 52-card deck.

Therefore the probability of getting 8 aces can be expressed by using the factorial of the number. This can result in a decrease of numbers by multiplying the previous number, this is called the factorial of a number.

P(8A) = 7/52 × 6/51 × 5/50 × 4/49 × 3/48 × 2/47 × 1/46 × 0/45

P(8A) = 0

The probability of getting is zero.

Therefore, it is not possible to get 8 aces from a standard 52 cards deck.

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Answer: i think its 40

Step-by-step explanation: because triangles in general are supposed to have the angle 180 and 40 add 400 add 100 equals 180

Answer: look at the image for the answer and explanation

Step-by-step explanation:

Therefore , the solution of the given problem of inequality comes out to be Paul can drive at most 208 more miles before he will have to refill the tank.

A connection or collection of variables without the equal sign is a mathematical inequality. Equilibrium is typically followed by equity. Inequality happens when two values are not equal. Differences exist between equality and inequality. It was decided to utilize the most factors symbol because the quantities are not identical or equivalent (). Any discrepancy, regardless of how small or large, can be used to compare values.

Here,

Let x be the number of miles Paul can drive before he will have to refill the tank.

Since Paul's car can go at most 375 miles on one tank of gas, and he has already driven 167 miles, we can write the inequality:

x ≤ 375 - 167

Simplifying, we get:

x ≤ 208

Therefore, Paul can drive at most 208 more miles before he will have to refill the tank.

Interpretation: If Paul drives more than 208 miles, he will not have enough gas to complete the journey and will need to refill the tank.

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about 2.1134 us quarts

Answer:

w² + 5w - 7

b = 5

c = -7

Step-by-step explanation:

(10w + 3)(w - 1) - (2 - 3w)² (distribute)

10w² - 10w + 3w - 3 - (2 - 3w)² (combine like terms)

10w² - 7w - 3 - (2 - 3w)² (expand (2 - 3w)²)

10w² - 7w - 3 - ((2 - 3w)(2 - 3w)) (distribute)

10w² - 7w - 3 - (4 - 6w - 6w + 9w²) (combine like terms)

10w² - 7w - 3 - (4 - 12w + 9w²) (distribute the negative)

10w² - 7w - 3 - 4 + 12w - 9w² (combine like terms)

w² + 5w - 7

Therefore, b = 5 and c = -7.

To complete the square for the equation [tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to choose h = -2.

To complete the square for the given equation

[tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to express the left-hand side of the equation in the form

[tex](x - p)^2 + q[/tex], where p and q are constants.

We can start by expanding the right-hand side of the equation:

[tex](x - h)^2 + 16 = x^2 - 2hx + h^2 + 16[/tex]

Now we can compare the coefficients of [tex]x^2[/tex], x, and the constant term on both sides of the equation:

[tex]x^2 + 8x + 32 = (x - p)^2 + q[/tex]

=> [tex]p^2 = 0[/tex] (since the coefficient of [tex]x^2[/tex] is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = [tex]h^2 + 16[/tex] = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation [tex]x^2+8 x+32=(x-h)^2+16[/tex] ?

As per the conversion factor, 33 inches is equivalent to 2.75 feet.

When we want to convert one unit to another, we use conversion factors to do so. A conversion factor is a ratio that represents the relationship between two units of measurement. In this case, we want to convert inches to feet.

To convert inches to feet, we need to use the conversion factor of 1 foot equals 12 inches. This means that for every 12 inches, we have 1 foot. To convert 33 inches to feet, we divide 33 by 12.

33 inches ÷ 12 inches/foot = 2.75 feet

To summarize, we used the conversion factor of 1 foot equals 12 inches to convert 33 inches to feet. We divided 33 by 12 to get the equivalent value in feet, which is 2.75. Always remember to use the appropriate conversion factor when converting units to avoid mistakes.

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Moore's law is an observation made by Gordon Moore, co-founder of Intel Corporation, in 1965. It states that the number of transistors on a microchip doubles approximately every two years, while the cost of the chip is halved. Essentially, this means that computing power increases exponentially over time.

Moore's law is associated with exponential functions because it describes a situation in which a quantity (the number of transistors) grows at a rate proportional to its size, resulting in exponential growth. Exponential functions are often used to model phenomena in science, engineering, and other fields that exhibit this kind of behavior. In the case of Moore's law, the rate of growth is approximately 41% per year, or a doubling every 1.5 to 2 years. The formula for exponential growth is:

Where:

Moore's law can be expressed using this formula as:

Where:

For example, if a microchip had 1,000 transistors in 2000, according to Moore's law it would have 2,000 in 2002, 4,000 in 2004, 8,000 in 2006, and so on. The exponential function describes the growth of the number of transistors over time, and the formula allows us to predict future values based on past observations.

~ Zeph

The length of each side of the octagon with area of 576 square centimeters and an apothem of 16 centimeters is  9  centimeters .

Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.

The formula for the area of a regular octagon is:

A = 4 × apothem × side

Using this formula and the given values, we can solve for the length of each side of the octagon:

576 = 4 × 16 × side

Dividing both sides by 4 × 16, we get:

side = 576 ÷ (4 × 16)

Simplifying the right-hand side, we get:

side = 576 ÷ 64 = 9 cm.

Therefore, the length of each side of the octagon is  9 cm .

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Answer:

Step-by-step explanation:

The percentage change in the population of fish at Roe River42 from 2000 to 2016 is 33.72%.

The percentage change refers to the increase or decrease in the population of fish between 2000 and 2016 computed as a percentage or rate.

To determine the percentage change, the difference is divided by the original value and multiplied by 100.

The total fish population in 2000 at Roe River42 = 5,730

The decrease in the population in 2016 = 1,932

The percentage change = 33.72% (1,932/5,730 x 100)

Thus, we can conclude that the fish population decreased by 33.72% from 2000 to 2016.

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Solving the equation explicitly for y and differentiating we get y' = -1/(x - 1)²

Differerentiation is the process of finding the derivative of a function.

Since we have the equation 1/x + 1/y = 1, to solve explicitly for y, we make y subject of the formula.

So, 1/x + 1/y = 1

1/y = 1 - 1/x

y = 1/(1 - 1/x)

To find y', we differentiate y with respect to x.

So, y' = dy/dx

= d[1/(1 - 1/x)]/dx

Let u = 1 - 1/x  

So,y' = d(1/u)/dx

= d(1/u)/du × du/dx

Now,

So, substituting these into dy/dx, we have that

y' = = d(1/u)/du × du/dx

= -1/u² × 1/x²

= -1/(ux)²

= -1/[(1 - 1/x)x]²

= -1/(x - 1)²

So, y' = -1/(x - 1)²

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Answer:

(4 × y) - 8 = <26

Step-by-step explanation:

The equation for this problem is:

(Let y = the unknown number)

Therefore, you can use (4 × y) - 8 = <26 as an inequality for this problem.

Answer: To determine how much money each department will receive from this year's fundraiser, we need to know the percentage of the total amount raised that each department will receive. We can calculate this by dividing the amount raised by the total percentage allocated to each department. Here is an example calculation:

Assuming there are three departments - A, B, and C, and they will receive 40%, 30%, and 30% of the total amount raised, respectively.

Step 1: Calculate the total percentage allocated to all departments

40% + 30% + 30% = 100%

Step 2: Calculate how much money each department will receive based on their percentage share of the total amount raised

Department A: 40% of $160 = $64

Department B: 30% of $160 = $48

Department C: 30% of $160 = $48

So, department A will receive $64, department B will receive $48, and department C will receive $48 from this year's fundraiser.

Note: The percentage allocation for each department is assumed in this example, so you should adjust the percentage according to your specific situation.

Step-by-step explanation:

Answer:

There are 1440 minutes in 24 hours.

Step-by-step explanation:

24 x 60 = 1440

Hope this helped. Have a good day!

Answer:

22.86

multiple 3.54 to 9

The values in the composite functions are (u o w)(2) is 7 and (w o u)(2) is 3

A composite function is a function that results from the combination of two or more functions. To form a composite function, the output of one function is used as the input of another function. The composite function can be represented by a single formula or equation, which combines the individual functions.

Let's say we have two functions f(x) and g(x). The composite function f(g(x)) is formed by using the output of the function g(x) as the input of the function f(x). In other words, we first apply g(x) to x, and then we apply f(x) to the result. The resulting composite function is written as f(g(x)).

In the problem given;

u(x) = x² + 3

w(x) = √(x + 2)

a.

(u o w)(2) = 7

b.

(w o u)(2) = 3

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Answer:

1 Microliter = 0.001 Milliliter

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 microliter it is equivalent to 0.001 Milliliter.

51 centimetres equal to 20.08 inches.

In the International System of Units( SI), the current replication of the metric system, a centimetre (symbol cm) is a unit of length.

The symbol of inch is 'in'.

As one inch was exactly equal to 25.4 millimetres.

1 in equal to 2.54 cm

So, 1 cm equals [tex]\frac{1}{2.54}[/tex]  inch

Here we want to convert 51 cm to inches.

For the conversation of cm into the inches multiply the cm value by 0.3937 or  [tex]\frac{1}{2.54}[/tex]

We can write as:

51 cm = 51 × [tex]\frac{1}{2.54}[/tex] inches.

51 cm = 20.08  inches (rounded to two decimal places)

Therefore, 51 cm is equivalent to 20.08 inches.

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Answer:

[tex]16x^2-24x+9[/tex]

Step-by-step explanation:

To find (c circle d)(x), we need to first find d(c(x)) and then simplify.

First, we need to find c(x) and substitute it into d(x), as follows:

d(c(x)) = d(4x - 2) = (4x - 2)^2 + 5(4x - 2)

Expanding the square and simplifying, we get:

d(c(x)) = 16x^2 - 24x + 9

Now, we have (c circle d)(x) = d(c(x)) = 16x^2 - 24x + 9.

The exact answer without rounding is 166.276877527

The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.

I added a picture below on how I got it and how it looked like!

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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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The factorial of a number n is the product of all positive integers up to and including n

The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To represent the factorial function using product notation, we can write:

n! = ∏_{i=1}^n i

This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:

5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120

Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.

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The inequality that models the situation is given as follows:

195 ≥ s.

The four inequality symbols, along with their meaning, are presented as follows:

For this problem, we have that the speed, represented by variable s, must be of at most 195 mph, hence the inequality is given as follows:

s ≤ 195.

Meaning that 195 is greater than or equal to s, hence:

195 ≥ s.

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