Given matrices A of mxn B of pxq C = AB Which of the following statements about C is true? C exists only if n = p C does not exist C exists only if m = q C is always a square matrix

The HCF of 10, 20, and 50 is 10. The HCF (Highest Common Factor) of 10, 20, and 50 can be found by finding the common factors of the given numbers and then selecting the highest one.The common factors of 10, 20, and 50 are: 1 and 2.

Therefore, the highest common factor is 2.For instance, The highest common factor of two or more numbers is the largest number that can divide the given numbers exactly. The factors of 10 are 1, 2, 5, and 10. Factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 50 are 1, 2, 5, 10, 25, and 50.

As a result, the HCF of 10, 20, and 50 is 2. Here's a quick technique to find HCF:List all of the prime numbers that divide each of the numbers being considered separately.

Multiplying the common prime factors will give the highest common factor.Let's use the above-mentioned method to find the HCF of 10, 20, and 50:10 = 2 × 5.20 = 2 × 2 × 5.50 = 2 × 5 × 5.

The highest common factor of the numbers is the product of the smallest number of prime factors present in both the numbers, which is 2 × 5 = 10.Therefore, the HCF of 10, 20, and 50 is 10.

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Therefore , the solution of the given problem of trigonometry comes out to be -1 is the simplified formula.

Some claim that the fusion of various fields contributed to the development of astrophysics. With the aid of precise mathematical methods, many metric issues can be resolved or the output of a computation can be determined. The scientific investigation of all six fundamental geometric calculations is known as trigonometry. They are known by a number of names and abbreviations, such as sine, variance, angle, and others. (csc).

Here,

Let's first use trigonometric identities to separately simplify each term:

=> cos(x - 90°) equals sin(x)

=>  cos(x - 180°) = -cos(x)

=> tan(x) = cos(x) / sin(x)(x)

=>  x(cos(-)) = x(x)

=> (180° + x) sin = -sin(x)

When we replace the equation with these simplifications, we get:

=> cos(x) * sin(180° plus x) * cos(x) * (-cos(x)) + (sin(x) / cos(x))

=>  sin(180° plus x) * sin(-cos2(x))

=>  -cos²(x) - sin(x)*sin(180° + x) (using the equation sin(x)*sin(x)) = -sin^2(x))

Using the identity sin2(x) +cos2(x) = 1, we get = -1.

Consequently, -1 is the simplified formula.

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Answer:

2.63274768567

Step-by-step explanation:

First, note that 3.1415... is p, so 2(3.1415...) is 2pi and 4(3.1415...) is 4pi.

2pi and 4pi are full rotations, which will lead to the same cosine (i.e. cos(x) = cos (x+2pi) = cos(x+4pi) = ... = cos (x+2k*pi)).

So, the expression equals cos0.5 + cos 0.5 + cos0.5 = 3cos0.5 = 3(0.87758256189) = 2.63274768567

I hope this helps! :)

Answer:

its the first graph from 1/2 - 1 - 1 1/2

Step-by-step explanation:

its all even and its constantly going up

k = 15 is the answer!!!!!!

Answer:

C Hope this helps This may be wrong though

Step-by-step explanation:

Answer:

use the line segment instead

Answer:

22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Use PEMDAS.

2(5+9)-6

1st (5+9)=14

2nd 2x14=28

3rd 28-6=22

Time-series Plot graph is the best choice for determining the change in the stock market over time.

The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.

Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.

A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.

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The device that indicates whether two AC sources to be connected in parallel are in the correct phase relationship is called a synchronizing device.

A synchronizing device is a mechanism that ensures that two AC sources are in sync when they are connected in parallel. It's used to match the voltage, frequency, and phase angle of two alternating current (AC) sources.

It guarantees that the power supplied by both generators is synchronized, allowing them to be combined into a single electrical system without disrupting the balance of the current or causing a short circuit.

As a result, it is critical to the safe and efficient operation of power systems. A phase sequence indicator (PSI) or a synchroscope is often used as a synchronizing device. It works by providing an indication of the voltage difference, the phase angle difference, and the frequency difference between two AC sources that are to be synchronized.

Therefore, a synchronizing device is an instrument that determines whether two alternating current (AC) sources to be connected in parallel are in the appropriate phase relationship.

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The ratio by mass of copper to zinc in the alloy is 3:1.

To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:

Total mass of alloy = 13.5 g + 4.5 g = 18 g

Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:

Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1

Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.

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Answer:

y = \(\frac{4}{5}\) x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = \(\frac{-1-3}{0-5}\) = \(\frac{-4}{-5}\) = \(\frac{4}{5}\)

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = \(\frac{4}{5}\) x - 1 ← equation of line

The ABC and XYZ statements are trigonometric statements

A. sin^2 ⁡θ

To do this, we apply the following trigonometric ratio

sin^2 ⁡θ + cos^2 ⁡θ = 1

Subtract cos^2 ⁡θ from both sides

sin^2 ⁡θ = 1 - cos^2 ⁡θ

Hence, the equivalent of A is Z

B. sin⁡(-θ)

Assume that θ is an acute angle, then we have:

sin⁡(-θ) = -sin⁡θ

Hence, the equivalent of B is X

C. tan⁡θ

Using the trigonometry formula, we have:

tan⁡θ = sin⁡θ/cos⁡θ

Hence, the equivalent of C is Y

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In ∆RAM and ∆REP

Let's check ratio

\(\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}\)

\(\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}\)

Hence

option B is correct

Answer:

\(second \: one \: is \: correct\)

From Pythagorean Theorem, the formula is given as:

The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)

The following procedures can be used by us while factoring polynomials:

Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.

Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.

Eliminate any factors that are frequent.

In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).

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By factoring out this common factor, we obtain the simplified expression 0.006(25c - 12).

We can start by determining the common factor between the two terms in order to factor the phrase 0.15c - 0.072. The common factor in this situation is 0.006, which we may factor out to obtain:

0.15c - 0.072 = 0.006(25c - 12) (25c - 12)

As a result, factoring the expression 0.15c - 0.072 gives 0.006 (25c - 12).

It is possible to utilise this factored form to further simplify calculations or to resolve equations that contain this statement. If we needed to find c in the equation 0.15c - 0.072 = 0, for instance, we could use the factored form to obtain:

0.006(25c - 12) = 0

25c - 12 = 0

c = 12/25

In conclusion, factoring the expression 0.15c - 0.072 involves finding the common factor between the two terms, which is 0.006. By factoring out this common factor, we obtain the simplified expression 0.006(25c - 12).

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The  transformation of \(\(y= \frac{x^{4} }{6x+6}\)\) graph is compressed by a factor of 2.

The function is a rational function in which the numerator is a degree 4 polynomial, and the denominator is a degree 1 polynomial.

Rational functions are in the form of \(\(f(x) = \frac{p(x)}{q(x)}\)\), where p(x) and q(x) are polynomial functions and the degree of p(x) is less than the degree of q(x).

To transform a graph of a function, one can translate, stretch, or reflect it.

Here are some of the transformations of the function \(\(y= \frac{x^{4} }{6x+6}\)\)

Vertical Shift: To get the new graph, we add or subtract a constant from the function.

When f(x) is replaced with f(x) + k, we get a graph that is k units above the graph of f(x). In this case, if we subtract 2 from the equation, we get the following equation:

\(y = (x^4) / (6x+6) - 2\)

This means that the graph of the function is shifted 2 units downwards.

Horizontal Shift: To get the new graph, we add or subtract a constant to the variable.

When f(x+c) is replaced with f(x), the graph is shifted c units to the left.

When f(x-c) is replaced with f(x), the graph is shifted c units to the right.

In this case, we can shift the graph by substituting x-2 for x in the function.

The new function is: \(y = ((x-2)^4) / (6(x-2)+6)\)

This means that the graph is shifted 2 units to the right.

Vertical Stretch/Compression: When a constant is multiplied to the function, the graph is vertically stretched or compressed.

In this case, if the function is multiplied by 2, we get the following function:

\(y = 2(x^4) / (6x+6)\)

This means that the graph is compressed by a factor of 2.

It can also be stretched by dividing the function by a constant.

Horizontal Stretch/Compression:

When a constant is multiplied to the variable of the function, the graph is horizontally stretched or compressed. In this case, if the variable is divided by 2, we get the following function:

\(y = (x^4) / (3x+3)\)

This means that the graph is compressed by a factor of 2.

It can also be stretched by multiplying the variable by a constant.

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Answer:

c. ½x + 4 = 12; x = 16

Step-by-step explanation:

1/2 x ( Half of the allowance spent at movies & x is allowance )

1/2x + 4 ( Earned additional $4 )

1/2x + 4 = 12 ( Had $12 at the end of the week )

Check:

1/2 16 +4 = 12

8 + 4 = 12

12 = 12

Correct!

The correct that represents the total amount of popcorn, in quarts, produced by x scoops of unpopped kernels

If 3 scoops of unpopped kernels produce 6 quarts of popcorn, we can find the rate of popcorn produced per scoop by dividing the total popcorn by the number of scoops:

6 quarts popcorn / 3 scoops = 2 quarts popcorn per scoop

We can use this rate to fill out the table for any number of scoops:

Number of scoops      Total amount of popcorn (in quarts)

1                                                             2

2                                                            4

3                                                            6

4                                                            8

5                                                            10

...                                                            ...

x                                                            2x

Therefore, the correct table that represents the total amount of popcorn, in quarts, produced by x scoops of unpopped kernels is:

Number of scoops    Total amount of popcorn (in quarts)

1                                                     2

2                                                    4

3                                                    6

4                                                    8

5                                                     10

...                                                     ...

x                                                      2x

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Answer:

I also agree with them

Answer:

1177.5 in³

Step-by-step explanation:

To find the volume of a cylinder, you need to do this:

V= π r² h

Substitute in 3.14, 5, and 15

V= 3.14 x 5² x 15

Multiply 5 by itself

V= 3.14 x 25 x 15

Multiply 3.14 and 25

V= 78.5 x 15

Multiply 78.5 x 15 to get your answer:

V= 1177.5 in³

I hope that this helps :)

Answer:

12/52 or 3/13

Step-by-step explanation:

So lets go over what we know:

There are 12 face cards in a deck of cards

There are 52 cards in a deck

So there are 12 face cards out of 52 cards.

The ratio of this is:

12 : 52

This looks like this in fraction form:

\(ratio1 : ratio2\) =   \(\frac{ratio1}{ratio2}\)

So the ratio 12 : 52 = \(\frac{12}{52}\)

So the answer is 12/52(this can be simplified to 3/13)

Hope this helps!

Answer:

a) ~18.95ft

b) ~58°

c) ~32°



1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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the correct answer is A

Always concentrate on point where X or G(X) equals Zero.

For example, here point (0,2), G(X)=2 when X=Zero.

If u tried to Replace X and G(X) in the equations below with these numbers, you would figure out the right answer so easily. Have a nice day!

Answer:

Row 1

Step-by-step explanation:

13 ÷ 13 = 1, not 2

Answer:

I think it is the 4th one

Step-by-step explanation: If you divied all the numbers by 13 they will give you the number of boxes, but the fourth one was not the same number. I did mine on a peice of paper though)

ex.

Answer:

60

Step-by-step explanation:

7x- y

Let x = 9 and y = 3

7(9) -3

Multiply

63 -3

Subtract

60

Step-by-step explanation:

we substitute

7(9)-3

63-3

60

Answer:

13.7

Step-by-step explanation:

15^2-6^2=189

The square root of 189 is 13.74 blah blah blah

Answer:

13.7

Step-by-step explanation:

a²+b²=c²

a²+6²=15²

a²+36=225

a²=189

a≈13.7