Evaluate the factorial expression 20!/ 17!(3-1)! Choose the correct answer from the options below a. 190 b. 1368 c. 3420 d. 58140

Answer:

system of equation by elimination

1 write both equation in standard form

2 make the coefficient of one variable opposites

3 add the questions relating from step to eliminate one variable

4 solve for the remaining variable

5 substitute the solution from step for into one of the original equation

Answer:

[tex]x^{3} ( x + 1 ) + y^{3} (x+1)\\= (x+1)(x^{3} + y^{3})[/tex]

Answer:

Step-by-step explanation:

YOU PLUS ALL OF THEM

Answer:

0,5*0,5=0,25

Step-by-step explanation:

assuming a die of 6 faces

25

0,5 for < 4; 0,5 for < 3

The amount I'll have in two years at the growth rate described is; $1.21x.

Since it follows that the savings grow by 10% each year, it can be concluded that the growth factor is; 110% = 1.1

Hence, in two years, we have;

= $x × (1.1)²

= $1.21x.

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Answer:

1.21x

Step-by-step explanation:

on rsm it says its correct

Answer:

(x - 5)^2 + (y - 6)^2 = 64

Step-by-step explanation:

Every circumference is in the form:

(x - xc)^2 + (y - yc)^2 = r^2

Where xc is the x of the center. Yc is the y of the center. r is the radius. We just plug in the values and we're done.

Answer:

[tex](x-5)^2+(y-6)^2=64[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies (x-5)^2+(y-6)^2=8^2[/tex]

[tex]\implies (x-5)^2+(y-6)^2=64[/tex]

Therefore, the equation of a circle with the given values is:

[tex](x-5)^2+(y-6)^2=64[/tex]

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Answer:

ASA

Step-by-step explanation:

By applying the definition of product between two square matrices, we find that [tex]\vec A \,\cdot \,\vec A = \left[\begin{array}{cc}1&2\\3&6\end{array}\right] \cdot \left[\begin{array}{cc}1&2\\3&6\end{array}\right][/tex] is equal to the matrix [tex]\vec A \,\cdot \,\vec A = \left[\begin{array}{cc}7&14\\21&42\end{array}\right][/tex]. (Correct choice: D)

In this question we must use the definition of product between two square matrices to determine the resulting construction:

[tex]\vec A \,\cdot \,\vec A = \left[\begin{array}{cc}1&2\\3&6\end{array}\right] \cdot \left[\begin{array}{cc}1&2\\3&6\end{array}\right][/tex]

[tex]\vec A \,\cdot \,\vec A = \left[\begin{array}{cc}7&14\\21&42\end{array}\right][/tex]

By applying the definition of product between two square matrices, we find that [tex]\vec A \,\cdot \,\vec A = \left[\begin{array}{cc}1&2\\3&6\end{array}\right] \cdot \left[\begin{array}{cc}1&2\\3&6\end{array}\right][/tex] is equal to the matrix [tex]\vec A \,\cdot \,\vec A = \left[\begin{array}{cc}7&14\\21&42\end{array}\right][/tex].

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Answer:

a) 25830

b)9975

Step-by-step explanation:

a) 287

x 90

25830

b) 105

x 95

9975

Answer:

10.

Step-by-step explanation:

6/9 = x/15

9x = 6*15

9x = 90

x = 10.

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{15} =\frac{x}{x+15}[/tex]

[tex]6(x+15)=15x[/tex]

[tex]6x+90=15x[/tex]

[tex]90=15-6x[/tex]

[tex]90=9x[/tex]

[tex]x=90/9= 10[/tex]

Hope this helps

Answer:

22

Step-by-step explanation:

Dion (d) is 4 years older than Agustina (a)

d=a+4

In 3 years the sum of their ages will be 46

d+3+a+3=46

d+a+6=46

d+a=40

d=40-a

d=a+4

a+4=40-a

2a=36

a=18

Plug a back in

18+4=d

22=d

d=22

Sorry if this was a little long.

The value of x is 4.

Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.

The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.

In the given figure ABCD is a rectangle.

OA=2x+1 and OD=x+5             [Given]

AC and BD are diagonals of a rectangle.

As we know that the diagonals of a rectangle are always equal.

So, AC = BD

We can also write it as,

2×OA=2×OD

2×(2x+1) =2×(x+5)

Apply the distributive property a(b+c)=ab+ac, we get

4x+2=2x+10

Subtract 2x from both sides, we get

4x+2-2x=2x+10-2x

2x+2=10

Subtract 2 from both sides, we get

2x+2-2=10-2

2x=8

Divide both sides by 2, we get

2x/x=8/2

x=4

Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.

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The Area of given figure is 341.6 square.

According to the statement

we have to find the total area of given figure.

Here a= 10 and h= 11

So, we use the formula is A = a(a + √((a)^2 + 4(h)^2))

where the a represent the base of given solid or sides of the equilateral triangle

And h represent the slant height of the solid.

So, Substitute the values in above formula then

A = 10(10 + √((10)^2 + 4(11)^2))

A = 10(10 + √((100 + 4(121))

A = 10(10 + √(100 + 484)

A = 10(10 + √(584)

A = 10(10 + 24.16)

A = 10(34.16)

A= 341.6

So, The Area of given figure is 341.6 square.

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Answer:1+1

Step-by-step explanation:

Answer:

  1

Step-by-step explanation:

The given ratio will be the remaining factor of 343 after factors of 7 have been removed. The value of interest is that factor, modulo 7.

  343 = 7·7·7 = 7³

The value of k is the power of 7 in the factorization of 343, so we have ...

  k = 3

and ...

  343/7³ = 1

The remainder when this ratio is divided by 7 is ...

  1 mod 7 = 1

The remainder when 343/7^k is divided by 7 is 1.

Answer:

Below.

Step-by-step explanation:

12.  That is a semicircle

The central angle is 180 degrees.

Answer:

y = 6x + 8

Step-by-step explanation:

y = mx + b

20 = 6(2) + b

b = 8

y = 6x + 8

The graph is a decreasing exponential graph.

Part A: The given graph is decreasing the exponential graph since the graph is decreasing rapidly as the value of x is increasing and the value of y is decreasing rapidly.

Part B: The graph shown here is maybe the case of any electric appliance which is of cheap quality. The time when it is brought then its performance and its life is awesome after that its life is decreasing rapidly.

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Complete question:

Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship. Identify and interpret the key features of the function in the context of the situation you described in part A.

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

[tex]\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2[/tex]

Now,

[tex]1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016[/tex]

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

[tex]\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224[/tex]

numbers, and their sum is

[tex]\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400[/tex]

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of [tex]1+9\times2=19[/tex].

So, the sum of the first 1234 terms in the sequence is 2419.

Answer:

r=8.74038744 m
and surface area=1303.76211 m2

Step-by-step explanation:

Answer:

[tex](1*10^{15} )(5*10^{14})[/tex] or 1.5×10^14

Step-by-step explanation:

The answer is [tex](1*10^{15} )(5*10^{14})[/tex] or 1.5×10^14.

Hope this helps!

Answer: 144 [tex]cm^{2}[/tex]

Step-by-step explanation:

The rectangle's length is twice as long as it's width as the square is folded in half. Let's say that the width's length is x, we get the equation

x + 2x + x + 2x = 36

6x = 36

x = 6 cm

The length of the rectangle is the length of the square which is 2x = 2 * 6 = 12 cm

So the area of the square is 12 * 12 = 144 [tex]cm^{2}[/tex]

6 is the growth factor in the function f(x) = (1/3)(6ˣ).

The rate at which a quantity multiplies itself over the independent factor, to increase the value of the function exponentially is known as its growth factor.

In the question, we are given a function f(x) = (1/3)(6ˣ) and are asked to identify the growth factor of the function.

We know that the rate at which a quantity multiplies itself over the independent factor, to increase the value of the function exponentially is known as its growth factor.

In the given function, f(x) = (1/3)(6ˣ), (1/3) remains unaffected with the change in the independent factor x, but 6 is exponentially increasing with x.

Thus, 6 is the growth factor in the function f(x) = (1/3)(6ˣ).

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Answer:

11.4 feet

Step-by-step explanation:

1/1.9 = h/w  (h= height, w=width)

Solving for w, gives you the formula

w = (1.9)h

This means the width is 1.9 times the height.

Use the formula to find the width where the height is 6 feet.

h = 6

w = (1.9)(6) = 11.4

The width is 11.4 feet.

Answer:

[tex]|x-85| \leq 5[/tex]

Step-by-step explanation:

|x-85| represents the 'distance' of the test score than 85, and this distance must be less than or equal to 5.

Answer:

  √5 is irrational

Step-by-step explanation:

A rational number is one that can be written exactly as an integer or ratio of integers. Written as a decimal number, it will have a finite number of digits, or a repeating decimal fraction.

Usually, a number that can only be expressed exactly using a symbol will be irrational. For square roots, any root of an integer other than a perfect square will be irrational.

The integer 5 is not a perfect square. It is between the squares 2²=4 and 3²=9. The square root of 5 is irrational.

__

Additional comment

A reduced fraction whose denominator has factors other than 2 or 5 will translate to a repeating decimal. The number of repeating digits may be as many as 1 less than the denominator. For example, 1/19 has an 18-digit repeating decimal equivalent.

The lifetime of the batteries in a package is 14.31 hours which exceeds that value for only 5% of all packages.

Give sample mean of 13 hours and standard deviation of 1 hour and sample size is 9.

We have to apply t test in this because the value of n which is sample size is less than 30.

We have been given the p value of the required mean so we have to find the t value for this with degree of freedom (9-1)=8

t value=2.306.

We know that

t=X bar-μ/s/[tex]\sqrt{n}[/tex]

s/[tex]\sqrt{n}[/tex]=1/[tex]\sqrt{3}[/tex]=0.57

Put all the values in the above formula to calculate required mean.

2.306=X bar-13/0.57

X bar=1.31442+13

=14.31442

after rounding off we get

X bar=14.31

Hence the lifetime of the batteries is 14.31 for which  the percentage exceeds 5%.

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This Bay store can also be described as a big box retailer store.

Big Box Retailer

A big box retailer is a physically enormous retail store that is typically a component of a chain of stores (also known as a hyper store, supercenter, superstore, or megastore). By extension, the phrase, big box retailer can also refer to the business that runs the store.

The Bay Store as a Big Box

There are numerous retail chains that only operate in Canada, aside from the large American big box retailer stores like Walmart Canada and the formerly-existent Target Canada. These include places like Hudson's Bay by Home Outfitters, Loblaws by Real Canadian Superstore, Rona, Winners by HomeSense, Canadian Tire by Mark's & Sport Chek, Shoppers Drug Mart, Chapters by Indigo Books and Music, Sobeys, and several others.

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From the graph given, the equilibrium price and quantities are given respectively as;

The total consumer spending(TCS) is achieved by finding the product of the price and the quantities at the equilibrium point.

Hence,
TCS = 5 * 6

= 60

A) The producer surplus is the area of the triangle shaded yellow in the attached image.

Recall that he area of triangle is:

1/2 b *  h

b = 4

h = 6

Hence Area of the RA-Triangle (Producer Surplus) =

1/2 * 4 * 6

= 12

B) The Consumer surplus is the area of the triangle shaded Green in the attached image.

Recall that the area of triangle is:

1/2 b *  h

b = 4

h = 6

Hence Area of the RA-Triangle (Consumer Surplus) =

1/2 * 4 * 6

= 12

If the suppliers charged $6, then the quantity demanded would drop to 4 units of  funnel cakes. It is demonstrated graphically. Recall that the law of demand and supply indicates that when prices goes up, demand comes down and vice versa.

Graph II illustrates what would happen if a large number of guests entered the fair. It would result to a right-ward shift in the demand curve.

Yes, there is an increase in the consumer surplus. Now there are more consumers hence the total amount they are willing to pay as an aggregate sum has increased from what was.

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B0 AND B1 are the parameters which describes the intercept and slope of the lines.

According to statement

we have to find the parameters which describes the intercept and slopes.

Simple linear regression is a  model that estimates the relationship between one independent variable and one dependent variable using a straight line. Both variables should be quantitative.

So, B0 AND B1 are the parameters which describes the intercept and slope of the lines.

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