Simplify this expression. 2/(x-y)+3/(x+y)-5/(y-x)-(7x-9y)/(y^(2)-x^(2))=?/(y^2-x^2 Find the question mark (?)

Answer:

23.6

Step-by-step explanation:

Finding AC:

Cos 61 = [tex]\frac{adjacent}{hypotenuse}[/tex]

0.48 × 10 = Adjacent

AC = 4.8

Now, CB:

Cos 29 = [tex]\frac{adjacent}{hypotenuse}[/tex]

0.87 × 10 = CB

CB = 8.8

The perimeter:

=> 10+4.8+8.8

=> 23.6

Answer:

23.6

Step-by-step explanation:

Answer:

[tex] P(0.55 <X<1.1)= F(1.1) -F(0.55) [/tex]

And replacing we got:

[tex] P(0.55 <X<1.1)= (1-e^{-\frac{1}{0.66} *1.1}) -(1-e^{-\frac{1}{0.66} *0.55})[/tex]

[tex] P(0.55 <X<1.1)=e^{-\frac{1}{0.66} *0.55}- e^{-\frac{1}{0.66} *1.1}=0.2457[/tex]

And rounded the answer would be 0.246

Step-by-step explanation:

For this case we can define the random variable X as "The commute time for people in a city" and for this case the distribution of X is given by:

[tex] X \sim exp (\lambda = \frac{1}{0.66}= 1.515)[/tex]

And for this case we want to find the following probability:

[tex] P(0.55 <X<1.1)[/tex]

And we can use the cumulative distribution function given by:

[tex] F(x) =1- e^{-\lambda x}[/tex]

And using this formula we got:

[tex] P(0.55 <X<1.1)= F(1.1) -F(0.55) [/tex]

And replacing we got:

[tex] P(0.55 <X<1.1)= (1-e^{-\frac{1}{0.66} *1.1}) -(1-e^{-\frac{1}{0.66} *0.55})[/tex]

[tex] P(0.55 <X<1.1)=e^{-\frac{1}{0.66} *0.55}- e^{-\frac{1}{0.66} *1.1}=0.2457[/tex]

And rounded the answer would be 0.246

Answer:

6 ties

Step-by-step explanation:

At least 37 but fewer than 63 makes it 37-62

So,

37-62 => 6 ties

Answer:

V = 137.2

Step-by-step explanation:

We are given the volume equation. Simply plug in your r into the equation and calculate and you should get 137.189 as your answer.

Answer:

(0,7)

Step-by-step explanation:

28

Step-by-step explanation:

Step-by-step explanation:

1,2,3,4,5,6 is a set of 6 elements; therefore it has 2⁶=64 subsets

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = [tex]\frac{1}{2}(b_1+b_2)\times h[/tex]

                                         = [tex]\frac{1}{2}(\text{GE+OF)}\times (\text{OG})[/tex]

                                         = [tex]\frac{1}{2}(3+6)\times 4[/tex]

                                         = 18 units²

Area of trapezoid GCDE = [tex]\frac{1}{2}(\text{GC+DE)}\times (\text{GE})[/tex]

                                         = [tex]\frac{1}{2}(7+2)\times 3[/tex]

                                         = 13.5 units²

Area of triangle AFH = [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]

                                  = [tex]\frac{1}{2}(5)(2)[/tex]

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Answer:

b. At least 2 abandoned cars in the next week.

Answer:

sin x = 0.998

cosx = 0.046

Step-by-step explanation:

Given that:

tan x = 21

where interval of x is [tex][0,\dfrac{\pi}{2}][/tex].

We know that the trigonometric identity for tan x is:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

Comparing with:

[tex]tan x = \dfrac{21}{1}[/tex]

Perpendicular = 21 units

Base = 1 unit

As per pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\[/tex]

[tex]\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units[/tex]

interval of x is [tex][0,\dfrac{\pi}{2}][/tex] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.

We know that

[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}[/tex]

So, sine x :

[tex]\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998[/tex]

Similarly, value of cos x :

[tex]\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046[/tex]

Answer:

3/4 or 0.75

Step-by-step explanation:

You have four options available

Lets say P(A) is pick a rocket

P(A) = 2/4 because there are two rockets in the four choices

simplify it to 1/2

P(B) pick a big = 2/4 because there are two bigs and two smalls.

simplify it to 1/2

P(A ∩ B) = Pick a big rocket = 1/4

P(AUB) = P(A)+P(B)- P(A ∩ B)

P(AUB) = 1/2+1/2- 1/4 = 3/4 or 0.75

Answer:

Step-by-step explanation:

write down the expression:

x*z-y

lets plug in the variables to evaluate the expression:

8*4.6-(-0.1)

36.8+0.1

36.9

Answer:

Given,

X=8

y=-0.1

z=4.6

Now,

[tex]xz - y \\ = 8 \times 4.6 - ( - 0.1) \\ = 36.8 - ( - 0.1) \\ = 36.8 + 0.1 \\ = 36.9[/tex]

hope this helps..

Good luck on your assignment..

Answer:  b) reflexive property

Step-by-step explanation:

When you are stating that a line is congruent to itself, you are using the Reflexive Property.

a) Associative Property: a + (b + c) = (a + b) + c

b) Reflexive Property: AB = AB

c) Substation Property: not a real property - does not exist

d) Transitive Property: If a = b and b = c, then a = c

Answer:

B

Step-by-step explanation:

Answer:

[tex] = 4 - 12x \\ [/tex]

Answer C is correct.

Step-by-step explanation:

[tex] - 6( - \frac{2}{3} + 2x) \\ \frac{12}{3} - 12x \\ = 4 - 12x[/tex]

hope this helps you.

Answer:

0.253 m/s

Step-by-step explanation:

radius r of the circular rise = 13 mm = 0.013 m

apparent weight loss = 50%

acceleration of the new weight = 0.5 x 9.81 = 4.905 m/s^2

centripetal acceleration = 9.81 -  4.905 =  4.905 m/s^2

centripetal acceleration = [tex]\frac{v^{2} }{r}[/tex]

where v is the acceleration at the rise and r is the radius of the rise

centripetal force = [tex]\frac{v^{2} }{r}[/tex]  = [tex]\frac{v^{2} }{0.013}[/tex]

4.905 = [tex]\frac{v^{2} }{0.013}[/tex]

[tex]v^{2}[/tex] = 0.063765

v = [tex]\sqrt{0.063765}[/tex] = 0.253 m/s

Answer:

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Step-by-step explanation:

8 cos^2 x + 4 cos x-4 = 0

Divide by 4

2 cos^2 x +  cos x-1 = 0

Let u = cos x

2 u^2 +u -1 =0

Factor

(2u -1) ( u+1) = 0

Using the zero product property

2u-1 =0    u+1 =0

u = 1/2      u = -1

Substitute cosx for u

cos x = 1/2    cos x = -1

Take the inverse cos on each side

cos ^-1(cos x) = cos ^-1(1/2)   cos ^-1( cos x) =cos ^-1( -1)

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Answer:

2731

Step-by-step explanation:

3 - 1 = 2 = 2^1

11 - 3 = 8 = 2^3

43 - 11 = 32 = 2^5

171 - 43 = 128 = 2^7

683 - 171 = 512 = 2^9

Following the pattern, add 2^11 to 683.

683 + 2^11 = 683 + 2048 = 2731

Hi,

We have the sequence 1 , 3 , 11 , 43 , __.

Let us say  [tex]a_{1}=1 , a_{2}=3 , a_{3}=11 , a_{4}=43[/tex]  and it is required to find out [tex]a_{5}[/tex] .

As, we can see the pattern from the given four terms that,

[tex]a_{2}=a_{1}+2[/tex] i.e. [tex]a_{2}=a_{1}+2^{1}[/tex]

[tex]a_{3}=a_{2}+8[/tex] i.e. [tex]a_{3}=a_{1}+2^{3}[/tex]

[tex]a_{4}=a_{3}+32[/tex] i.e. [tex]a_{4}=a_{1}+2^{5}[/tex]

Since, the next term is obtained by adding the previous terms by odd powers of two.

Therefore, [tex]a_{5}=a_{4}+2^{7}[/tex] i.e. [tex]a_{5}=a_{4}+128[/tex] i.e [tex]a_{5}=43+128[/tex] i.e. [tex]a_{5}=171[/tex]

So, [tex]a_{5}=171.[/tex]

Hence, the next term of the sequence is 171.

Let us say  [tex]a_{1}=1 , a_{2}=3 , a_{3}=11 , a_{4}=43[/tex], [tex]a_{5}[/tex] [tex]= 683[/tex] and it is required to find out [tex]a_{6}[/tex].

Therefore, [tex]a_{6}=a_{5}+2^{9}[/tex] i.e. [tex]a_{6}=a_{5}+512[/tex] i.e [tex]a_{6}=683+512[/tex] i.e. [tex]a_{6}=1195[/tex]

So, [tex]a_{6}=1195.[/tex]

Hence, the next term of the sequence is 1195.

[tex]32500[/tex]

[tex]0.00604[/tex]

[tex]2.4 \times 10^6[/tex]

[tex]1.47 \times 10^{-3}[/tex]

Answer:

A) 32500

B) 0.00604

C) [tex]2.4 * 10^6[/tex]

D) [tex]1.47 * 10^{-3}[/tex]

Answer:

D) 22

Step-by-step explanation:

y-1= -7(x-3)

y= -7x+21+1

x=0 ⇒ y-intercept is equal to:

So y -intercept is 22, option D

Answer:

22

Step-by-step explanation:

y-1 = -7(x-3)

This is point slope form

Distribute

y-1 = -7x +21

Add 1 to each side

y-1+1 = -7x+21+1

y = -7x+22

This is slope intercept form where y = mx+b and b is the y intercept

22 is the y intercept

Answer:

q1: 80

q2:85

q3:91.5

Work:

- rearrange the numbers from least to greatest

68,78,82,84,86,89,94,100

q1- add 78 and 82, divide by 2

q2: add 84 and 86, divide by 2

q3- add 89 and 94, divide by 2

Answer:

c. One response and one or more explanatory variables are related.

Step-by-step explanation:

Regression shows the relationship between a given variable and its covariates, which can be one or more. The initial variable is the dependent or response variable selected to show its level of variation with respect to one or more independent or explanatory variables.

Therefore, regression modeling describes how one response is related to one or more explanatory variables.

Answer:

"The probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%)

Step-by-step explanation:

We have here a normally distributed random variable. The parameters that characterize this distribution is the mean, [tex] \\ \mu[/tex], and the standard deviation, [tex] \\ \sigma[/tex].

In this question, we have that:

And we want to know the probability that a randomly selected single egg "will be with cholesterol content greater than 220 milligrams."

To answer the latter, we need to use the following key concepts:

The z-scores are standardized values and represent the distance (for the raw score) from the mean in standard deviations units. A positive z-score indicates that it is above [tex] \\ \mu[/tex] and, conversely, a negative result that the value is below it.

The cumulative distribution function generates the values for the cumulative standard normal distribution displayed in the standard normal table.

The standard normal distribution is employed to find probabilities for any normally distributed data and we only need to calculate the corresponding z-score (or standardized value). This distribution has a [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex].

As we can see, all of these concepts are intertwined, and each of them is important because:

Finding the probability

We can get the z-score using the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

Where x is the raw value we want to standardize using the previous formula, and, in this case is 220 milligrams, [tex] \\ x = 220[/tex] milligrams.

Thus (without using units):

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{220 - 215}{15}[/tex]

[tex] \\ z = \frac{5}{15}[/tex]

[tex] \\ z = \frac{5}{5} * \frac{1}{3}[/tex]

[tex] \\ z = 1 * \frac{1}{3}[/tex]

[tex] \\ z = 0.3333333...[/tex]

To consult the standard normal table, we only need [tex] \\ z = 0.33[/tex], because it only has values for two decimal digits. As a result, the value will be a little inexact (but near to the true value) compared to that obtained using statistical software (or maybe a more precise table).

With this value (which is positive and, therefore, above the mean), we need to carefully see the first column of the mentioned table to find z = 0.3. Then, in the first row, we only need to select that column for which we can add the next digit, in this case, 3 (it appears as +0.03). That is, we are finding the probability for [tex] \\ z = 0.33[/tex].

Then, the cumulative probability for [tex] \\ z = 0.33[/tex] is:

[tex] \\ P(x<220) = P(z<0.33) = 0.62930[/tex]

However, the question is asking for "cholesterol content greater than 220 milligrams" or

[tex] \\ P(x>220) = P(z>0.33)[/tex]

Since

[tex] \\ P(x<220) + P(x>220) = 1[/tex]

Which is the same for a standardized value:

[tex] \\ P(z<0.33) + P(z>0.33) = 1[/tex]

Then

[tex] \\ P(z>0.33) = 1 - P(z<0.33)[/tex]

Therefore

[tex] \\ P(x>220) = P(z>0.33) = 1 - P(z<0.33)[/tex]

[tex] \\ P(x>220) = 1 - P(z<0.33)[/tex]

[tex] \\ P(x>220) = 1 - 0.62930[/tex]

[tex] \\ P(x>220) = 0.37070[/tex]

Thus, "the probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%).

The graph below shows a shaded area that corresponds to the found probability.  

Answer:

C.

Step-by-step explanation:

[tex]1.5^2\pi =2.25\pi[/tex]

Answer:

Option D

Step-by-step explanation:

Cost for the materials to resurface 1 meter of the road is $750.

∵ 1 kilometer = 1000 meter

∴ 0.25 kilometer = 0.25 × 1000

                            = 250 meters

∵ Cost to resurface 1 meter of road = $750

∴ Cost to resurface 250 meter of road = 750 × 250

                                                                = 187,500

The cost of materials to resurface 0.25 kilometer of a road is $187,500.

Option D is the answer.

Answer:

The degree of the polynomial is 3.

By the fundamental theorem of algebra, the function has three roots.

Two roots are given, so there must be one root remaining.

By the complex conjugate theorem, imaginary roots come in pairs.

The final root must be real.

Step-by-step explanation:

The number of roots remaining of the polynomial function f(x) = x³ − 7x − 6, with two roots -2, and 3 already given is 1. The nature of the root will be real.

A polynomial function is a function (say f(x)), which is defined over a polynomial expression in x. It is of the form,

f(x) = a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ, where a₀, a₁, a₂, ..., aₙ are constants, x is a variable, and n ≥ 0.

Degree of the polynomial function = n, the highest power of x.

The fundamental theorem of algebra is that the number of roots or solutions of a polynomial function = The degree of the polynomial function.

According to the complex conjugate theorem, if a polynomial function has complex roots, they will always exist in conjugate pairs, that is, if one root is of the form a + bi, the other root will be a - bi.

We are given a polynomial function f(x) = x³ - 7x - 6. Two roots of the equation are given as -2, and 3.

The degree of the equation = 3, so by the fundamental theorem of algebra number of roots = 3.

2 roots are given, so the number of roots remaining = 1.

Since none of the given roots are complex, the third root can not be complex, as complex roots always exist in conjugate pairs, coming from the complex conjugate theorem. So, the remaining root will be real in nature.

Learn more about the fundamental theorem of algebra and the complex conjugate theorem at

https://brainly.com/question/11855858

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Answer:

4(x+8) + 5(x-3)

= 4x + 32 + 5x - 15

= 9x + 17

Answer:

9x+17

Step-by-step explanation:

HOpe It HelPs!!!!!

Also download photo math bc it help with stuff like this!!!!

Answer:

The correct answer would be option 4

12x+20

 5y3

Hope that helps.Thank you!!!

Answer:

5

Step-by-step explanation:

y=5x-2

y=23

23=5x-2

25=5x

x=5

Hope this helps!

Answer:

x=5

Step-by-step explanation:

y=5x-2

23=5x-2

25=5x

x=5

Answer: Minerals

Step-by-step explanation:

The Mineral belongs to the geosphere option (3) Mineral is correct.

Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole. Different mass and/or energy flows can be exchanged between the various geosphere collectives.

We have a statement:

Which part of Earth belongs to the geosphere?

The options are:

As we know, air belongs to the atmosphere.

Plants belong to the biosphere

Water belongs to the hydrosphere

Mineral belongs to the geosphere

The mineral is the part of the earth that belongs to the geosphere.

Thus, the Mineral belongs to the geosphere option (3) Mineral is correct.

Learn more about the geosphere here:

https://brainly.com/question/5137630

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The correct answer is A

Explanation:

An orthographic drawing shows a three-dimensional figure from different perspectives or sides. Indeed, the orthographic drawing in the question shows how the object looks if you see this the front, side, and top of this. This implies the foundation drawing needs to match the figures of the orthographic drawing.

According to this, the correct figure is A because this is the only one that has a rectangle shape, and due to this, if you look at this from any different sides you will always see a rectangle. For example, the top view shows a rectangle of approximately 2x3 squares, and this view only fits with option A because B and C are not complete rectangles and therefore their top view is not a rectangle.