61-63 Sketch the region bounded by the given curves and find the area of the region.
61. [tex]y=1 / x, \quad y=1 / x^{2}, \quad x=2[/tex]

Answer:

1.5x1.5t=9

Step-by-step explanation:

because i am learning this topic

Answer:

one is 2 and another is 7

Step-by-step explanation:

let n be the positive integer and n' be the greater integer.

Given condition

n+5=n' ......eqn i

n×n'=14

n(n+5)=14. [from equation i]

n²+5n-14=0

n²+7n-2n-14=0

(n-2)(n+7)=0

either. or

n=2. n=-7(impossible)

therefore n=2 and hence n'=n+5=7.

Answer:

13. C) The sum of the numerators is incorrect.

14. B) [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]

Step-by-step explanation:

13. The reason why it's incorrect.

When dealing with the sum of fractions, denominators must be the same. So allows us to do the sum of the numerator. The image displayed is the incorrect sum of the numerator.

14. [tex]-\frac{5}{8}+\frac{1}{8}=\frac{-5+1}{8}=\frac{-4}{8} =-\frac{1}{2}[/tex]

Answer:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean

Step-by-step explanation:

i dont know if i am correct tho, please like if i am correct

Answer:

3421.19 mm²

Step-by-step explanation:

The area equation is πr²

So then you'd plug in 33 as your r because that's your radius and youd get the equation: π×33²

Which is ≈ 3421.19 mm²

Answer:

D=76^3

Step-by-step explanation:

We have to just simplify the equation then do the addition/subtraction.

Answer:

tanB =40/9

Step-by-step explanation:

tan B = opposite/adjacent

where the opposite is 40 and the adjacent is 9

therefore, tanB =40/9

The odd function is:

f(x) = sgn(x)*x^2

And the graph can be seen at the end.

An odd function has the property:

f(-x) = -f(x).

In this case, for x > 0 we have:

f(x) = x^2

Notice that if we evaluate that in a negative number, we get:

f(-2) = (-2)^2 = 2^2 = f(2)

So, this is actually even.

To transform it into an odd function, we can multiply it by the sign function:

f(x) = sgn(x)*x^2

Now, when x is negative, the outcome will be negative, so the function is odd. The graph can be seen below.

If you want to learn more about odd functions:

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Answer:

A. Train A begins 1800 miles from Columbus while train B begins 1200 miles from Columbus

B. Train A travels at a constant rate because its graph is a linear equation. Train B does not move until 1pm, when it starts moving towards Columbus at the same speed as train A. I know that trains are traveling at the same speed at a certain interval because they have the same slope at that interval. Because the train was moving at the same speed as train A over a certain interval, Tom is correct.

Step-by-step explanation:

Answer: The answer is 18 bread pieces

Step-by-step explanation:

SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs

Hey there!

4 + 10(5 - 3) = 4 + 62

4 + 10(5) + 10(-3) = 4 + 62

4 + 50 - 30 = 4 + 62

54 - 30 = 4 + 62

24 = 4 + 62

24 = 66

24 ≠ 66

OR

4 + 10(5 - 3) = 4 + 62

4 + 10(2) = 4 + 62

4 + 20 = 4 + 62

24 = 4 + 62

24 = 66

24 ≠ 66

Thus, this statement is FALSE because both of your numbers aren’t equivalent to each other.

But, let’s try this method

4 + 10(5 - 3) = 4 + 62

4 + 10(2) = 4 + 62

4 + 20 = 4 + 62

24 = 66

24 ≠ 66

66 - 24 = 42

Thus, if this is what your question is asking it would be: Option B. 42

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The expected value of the game in which 5 dice (6-sided) are rolled simultaneously is -0.2094.

Supposing that the considered random variable is discrete, we get:

Mean =  [tex]E(X) =[/tex] [tex]\sum_{\forall x_i} f(x_i)x_i[/tex]

Here,   [tex]x_i; \: \: i = 1,2, ... ,[/tex] n is its n data values and [tex]f(x_i)[/tex]is the probability of  [tex]X = x_i[/tex]

Suppose you play a game in which 5 dice (6-sided) are rolled simultaneously.

Let Y is the amount of money player won. The value of X can be,

[tex]Y=2,4,6,8,1000,-5[/tex]

Binomial distributions consists of n independent Bernoulli trials. Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]

Put the values as 5 trials for each time 4 appears.

[tex]P(X =0) = \: ^5C_1(\dfrac{1}{6})^0(1-\dfrac{1}{6})^{5-0}=0.4018 \:\\P(X =1) = \: ^5C_1(\dfrac{1}{6})^1(1-\dfrac{1}{6})^{5-1}=0.402\\P(X =2) = \: ^5C_2(\dfrac{1}{6})^2(1-\dfrac{1}{6})^{5-2}=0.162\\P(X =3) = \: ^5C_3(\dfrac{1}{6})^3(1-\dfrac{1}{6})^{5-3}=0.032\\P(X =4) = \: ^5C_4(\dfrac{1}{6})^4(1-\dfrac{1}{6})^{5-4}=0.0032\\P(X =5) = \: ^5C_5(\dfrac{1}{6})^5(1-\dfrac{1}{6})^{5-5}=0.00013\\[/tex]

The probability of loosing $5 equal probability of 0 success.

[tex]P(Y=-5)=P(x=0)[/tex]

Similarly, for probability of getting profit are,

[tex]P(Y=2)=P(x=1)\\P(Y=4)=P(x=2)\\P(Y=6)=P(x=3)\\P(Y=8)=P(x=4)\\P(Y=1000)=P(x=5)[/tex]

Expected value of game,

[tex]E(Y)=\sum y .P(Y=y)\\E(Y)=-5.P(X=0)+2.P(X=1)+4.P(X=2)+6.P(X=3)+8.P(X=4)+1000.P(X=5)\\E(Y)=-0.2094[/tex]

Thus, the expected value of the game in which 5 dice (6-sided) are rolled simultaneously is -0.2094.

Learn more about expectation of a random variable here:

https://brainly.com/question/4515179

Learn more about binomial distribution here:

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Answer:

  3x=27

Step-by-step explanation:

3(3x+4)=12x-15

9x+12=12x-15

-9x      -9x

___________

12=3x-15

+15    +15

_________

27=3x

3x=27

Answer:

9

Step-by-step explanation:

3(3x+4)=12x-15

or,3x+4=3(4x-5)/3

or,3x+4=4x-5

or,4+5=4x-3x

or,9=x

.:x=9

Hence,

x=9

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

Answer:

R = 9% per year

Step-by-step explanation:

Answer:

y = -x - 4

hope this helped :)

Answer:

The answer is 12ft

Step-by-step explanation:

96/8 = 12

Area = length x width

Answer:By a factor of 2 6/7.

Step-by-step explanation:

That would be  9 1/7 divided by 3 1/5

=  64/7 / 16/5        Invert the dividing fraction:

= 64/7 * 5/16

=  4/7 * 5

= 20/7

= 2 6/7.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no

one input (x) has 2 outputs (y)

the input 2 has 2 outputs 1 and 4

this does not pass the vertical line test

therefore it is not a function

I'm not sure for my awnser but I thing 30

[tex]~~~~10x+7\geq 67\\\\\implies 10x \geq 67 -7\\\\\implies 10x \geq 60\\\\\implies x \geq \dfrac{60}{10}\\\\\implies x \geq 6[/tex]

Answer:

x = 14

Step-by-step explanation:

Knowing that this figure is a vertical angle.

Define vertical angles ⇒ a pair of opposite angles formed by intersecting lines

Thus, if the left side = 122

then the other side must equal 122

The equation is:

8x + 10 = 122

Subtract 10 from both sides

8x + 10 - 10 = 122 -10

8x = 122

Divide both sides by the same factor

8x/8 = 122/8

Simplify

x = 14

Thus, x = 14.

Kavinsky

Answer:

The purchase is greater than $153

Step-by-step explanation:

Answer:

V = π 12²h because i dont know where 6² came from.

just go with either 3 or 4.

Answer:

function

Step-by-step explanation:

this graph is a function.

why?

if we draw a vertical line on all points of the function we can see that it only intersects ONCE. Therefore, it's a function. if it intersects more than once then it will not be a function

Answer:

5.06 years

Step-by-step explanation:

It is already worth less than 2800

  perhaps you meant the purchase price was 12 000

2800 = 12 000 ( .75)^n

 n = 5.06 years   it will = 2800

Answer + Step-by-step explanation:

let x be the age of Kevin

    y be the age of his mother

a) We can convert the statement “the sum of their ages is 61” into the equation: x + y = 61

b) the coordinates of the intersection point are (15 , 46)

Interpretation:

The age of Kevin is 15

The age of Kevin’s mother is 46

Step-by-step explanation:

Let,

Given that,

Kevin's age + Mother's age = 61

x + y = 61 [tex]\rightarrow[/tex] required equation for a)

[tex]\rule{150pt}{2pt}[/tex]

Now, we have two equations.

y - 3x = 1 -------(1)

y + x = 61 --------(2)

On solving them (using the substitution method),

[tex]\left. \begin{cases} { y-3x = 1 } \\ { y+x=61 } \end{cases} \right.[/tex]

Take ----(1)

[tex]y-3x=1 \\y=3x+1[/tex]

Now, substitute the value of y in ----(2)

[tex]y + x = 61\\3x+1+x=61 \\4x+1=61 \\4x=60 \\x = 15[/tex]

Substitute the value of x in -----(1),

[tex]y=3\times 15+1 \\y= 45+1\\y = 46[/tex]

So,

[tex]\boxed{\bf\:x = 15, \:y = 46}[/tex]

Now, by graphing them (see the attachment), the point of intersection is O (15, 46). Hence, from this we can infer that, Kevin is 15 years old while his mother is 46 years old. [tex]\rightarrow[/tex] answer for b)

[tex]\rule{150pt}{2pt}[/tex]