The value of 3' x10, when x = -2, can be
written in simplest form as a lb, where
a=
and b =

Answer:

(3, −9)

Equation Form:

x = 3, y = −9

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

Given:

The given system of linear equations is

Required:

We have to find the solution to the given system.

Explanation:

We use The substitution method to find the solution to the given system.

Substitute the above value of y in the second equation

Now put the above value of x in the first equation to get the value of y.

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer

D

Step-by-step explanation:

Edge 2020

Answer:

1: 6cm, 2: 9cm

Step-by-step explanation:

area = pi (radius^2), so if the area of 1 is 36pi, then the radius is 6cm. Similarly, the answer to 2 is 9cm.

The formula that can be used to illustrate consecutive even numbers is a + 2.

It should be noted that the information is incomplete. Therefore, an overview will be given.

It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.

Examples of such numbers include 2, 4, 6,8, 10, etc.

In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.

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In linear equation, 187 tickets do they need to sell.

What is a linear equation ?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                                           The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." This is the basis for its designation as a "linear equation."

The drama club wants to raise at least $1500. They have already received donations of $565 so the amount left till target is:

= 1500 - 565

= $935

Tickets are being sold at $5 so the number of tickets needed to get to $935 is

= 935/5

= 187 tickets

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1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Both planes have a speed of 340 miles per hour and 510 miles per hour, respectively.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let tc be the time of commercial jet and tp be the time of private airplane.

Let vc be the speed of commercial jet and vp be the speed of private airplane.

Let dc be the distance of commercial jet and dp be the distance of private airplane.

now,

dc=dp

vc=vp+170

vc*tc=vp*tp

(vp+170)*1.2=vp*1.8

(vp+170)*2=vp*3

2vp+340=3vp

vp=340 miles/hour

vc=340+170

vc=510 miles/ hour

The speed, in miles per hour, of both airplanes is 340 miles per hour and 510 miles per hour.

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Answer:

  117

Step-by-step explanation:

You want the cross product of vectors u = (12i -3j) and v = (-5i +11j).

The cross product of 2-dimensional vectors is a scalar that is effectively the determinant of the matrix of coefficients.

  u×v = (12)(11) -(-3)(-5) = 132 -15

  u×v = 117

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The sum of the digits, B. thirteen and one eighth, is the product of the numerals.

According to the data, we are in the negative four hundred and one-sixth times the negative three hundred and fifteen-hundredths range.

This is going to be the product:

= (-4 1/6) × (-3 15/)

= - 4 1/6 × 3 3/20

= - 25/6 × -63/20

x= 13 1/8

In conclusion, The answer that you should choose is an option (d), which is thirteen and one-eighth.

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Answer:

x = -5

Step-by-step explanation:

the answer is -5 sussy baka

This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.

Side note: The r value and slope are both negative, but they aren't equal to one another.

Answer:

222.4 cm

Step-by-step explanation:

16cm x 13.9 cm =222.4 cm

hope this helped! :D

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

F1 + F2 = ΣF' is the simultaneous equation that relates the two forces F1 and F2 in kilonewtons acting on a structure, based on the principle of equilibrium.

If two forces F1 and F2 in kilonewtons are acting on a structure, the simultaneous equation that relates the two forces can be derived using the principle of equilibrium. The principle of equilibrium states that for a structure to be in equilibrium, the sum of all the forces acting on it must be zero.

Mathematically, the principle of equilibrium can be expressed as:

ΣF = 0

where ΣF represents the sum of all the forces acting on the structure.

For the two forces F1 and F2, we can express their vector sum as:

F = F1 + F2

where F is the resultant force of the two forces.

Now, for the structure to be in equilibrium, the vector sum of the two forces must be equal and opposite to the vector sum of all the other forces acting on the structure. This can be expressed as:

-F = ΣF'

where ΣF' represents the sum of all the other forces acting on the structure.

Equating the two expressions for F and -F, we get:

F1 + F2 = ΣF'

This is the simultaneous equation that relates the two forces F1 and F2 in kilonewtons acting on a structure, based on the principle of equilibrium.

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Answer:

250 rupees

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Put the words into math

3  3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8

3 1/4/2 3/8=

1 7/19

2. Answer: 1 7/19

Arc \(RMP\) has a measure of \(360^{\circ}-120^{\circ}=\boxed{240^{\circ}}\).

Using the tangent-tangent theorem,

\(m\angle RQP=\frac{240^{\circ}-120^{\circ}}{2}=\boxed{60^{\circ}}\)

Answer:

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}\)

Step-by-step explanation:

Given the expression

\(\frac{y}{x^2}+\frac{y}{x^3}\)

Let us perform the operation and express your answer as a single fraction​

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}\)

            \(=\:\frac{x^2\left(xy+y\right)}{x^5}\)

            \(=\frac{\left(xy+y\right)}{x^3}\)

Therefore, we conclude that:

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}\)

104

Explanation

Step 1

convert the words in math terms

10 tens and 4 ones​

then,it is iqual to

10 times 10 plus 4 times one

so, the answer is 104

I hope this helps you

Answer:

\(2*log(x)+log(y)\)

Step-by-step explanation:

So, there are two logarithmic identities you're going to need to know.

Logarithm of a power:

   \(log_ba^c=c*log_ba\)

   So to provide a quick proof and intuition as to why this works, let's consider the following logarithm: \(log_ba=x\implies b^x=a\)

   Now if we raise both sides to the power of c, we get the following equation: \((b^x)^c=a^c\)

   Using the exponential identity: \((x^a)^c=x^{a*c}\)

    We get the equation: \(b^{xc}=a^c\)

    If we convert this back into logarithmic form we get: \(log_ba^c=x*c\)

    Since x was the basic logarithm we started with, we substitute it back in, to get the equation: \(log_ba^c=c*log_ba\)

Now the second logarithmic property you need to know is

The Logarithm of a Product:

    \(log_b{ac}=log_ba+log_bc\)

    Now for a quick proof, let's just say: \(x=log_ba\text{ and }y=log_bc\)

    Now rewriting them both in exponential form, we get the equations:

    \(b^x=a\\b^y=c\)

    We can multiply a * c, and since b^x = a, and b^y = c, we can substitute that in for a * c, to get the following equation:

    \(b^x*b^y=a*c\)

   Using the exponential identity: \(x^{a}*x^b=x^{a+b}\), we can rewrite the equation as:

   \(b^{x+y}=ac\)

   taking the logarithm of both sides, we get:

   \(log_bac=x+y\)

   Since x and y are just the logarithms we started with, we can substitute them back in to get: \(log_bac=log_ba+log_bc\)

Now let's use these identities to rewrite the equation you gave

\(log(x^2y)\)

As you can see, this is a log of products, so we can separate it into two logarithms (with the same base)

\(log(x^2)+log(y)\)

Now using the logarithm of a power to rewrite the log(x^2) we get:

\(2*log(x)+log(y)\)

Answer:

d.

Step-by-step explanation:

the other ones are adding and the 3 is obviously being subtracted.

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer:

Pretty sure its either 1 or 2

Step-by-step explanation: CUZZZZ IM BUILT DIFFERENTLY

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation: