What are the excluded values of x for x^2-9x/ x^2 -7x-18
?
O x = -9, x = 2
O x = -9, x = 0
Ox= -2, x = 9
O x=0, x= 9

Answer:

1/12

Step-by-step explanation:

Total students: 24

Requirement: 2

Simplify:

2/24 -> 1/12

The value of the integration for a non closed path abcd will be -88

Cyclic integration is the integration over a closed loop.Close the path by connecting D to A. Then by Green's theorem, the integral over the closed path ABCDA - which I'll just abbreviate C - is

[tex]\oint_c(Sin(x)+9y)dx+(4x+y)dy\\\\\\[/tex]

[tex]=\int\int \dfrac{\partial (4x+y)}{\partial x} -\dfrac{\partial (Sin(x)+9y)}{\partial y}dxdy[/tex]

[tex]=-5\int\int dxdy[/tex]

(where int(C ) denotes the region interior to the path C )

The remaining double integral is -5 times the area of the trapezoid, which is

[tex]-5 \int\int dxdy=\dfrac{-5}{2}\times (12+4)\times 4=-160[/tex]

To get the line integral you want, just subtract the integral taken over the path DA. On this line segment, we have x = 0 and dx = 0, so this integral reduces to

[tex]\int _{DA} ydy=\int\limits^0_{12} y dy=-\int\limits^{12}_0ydy =-72[/tex]

Then

[tex]\int_{ABCD}9Sin(x)+9y)dx+(4x+y)dy=-160-(-72)=-88[/tex]

To know more about cyclic integration follow

https://brainly.com/question/27419605

#SPJ4

Answer:

The correct answer is B

Step-by-step explanation:

The blue line points to the left and has a closed circle, so the value of x has to be less than or equal to -4.

The term that best describes the red line segment of the ellipse is minor axis . C

An eclipse can be defined as an astronomical event that occurs when an object or spacecraft is obscured as the shadow of another body passes or when another body pass between it and an observer.

The axis of an eclipse could major or minor.

The minor axis of an ellipse is the line that contains the shorter part of the two line segments about which the ellipse is symmetrical.  It is perpendicular to the major axis and passes through the center of the axis.

Therefore, the term that best describes the red line segment of the ellipse is minor axis . C

Learn more about eclipse here:

https://brainly.com/question/1077760

#SPJ1

Answer:

5 shaded region area = 100 - 78.5 = 21.5 sqm

6 c

Step-by-step explanation:

5. area of square = 10 x 10 = 100 sqm

area of circle = pi * r^2 = pi (5)^2 = 78.5 sqm (take pi as 3.14)

shaded region area = 100 - 78.5 = 21.5 sqm

6. for a straight line, equation is y = mx + b

m = 5, b = -12 in this case

Answer:

f=8

Step-by-step explanation:

0.62(f+(-6)+6.96=8.2

0.62(f-6)+6.96=8.2

multiply both sides by 100

0.62(f-6)*100+6.96*100=8.2*100

Refine

62(f-6)+696=820

Subtract 696 from both sides

62(f-6)+696-696=820-696

Simplify

62(f-6)=124

Divide both sides by 62

62(f-6)/62 = 124/62

Simplify

f-6=2

add 6 to both sides

f-6+6=2+6

simplify

f=8

Answer:

8

Step-by-step explanation:

1. Distribute 0.62 to each term in the parenthesis:

0.62(f) + 0.62(-6)

0.62f - 3.72 + 6.96 = 8.2

2. Add 3.72 and 6.96:

0.62f - 3.72 + 6.96 = 8.2

0.62f + 3.24 = 8.2

3. Subtract 3.24 from both sides of the equation:

0.62f + 3.24-3.24 = 8.2-3.24

0.62f = 4.96

4. Divide 0.62 by both sides to isolate f:

0.62f/0.62 = 4.96/0.62

f = 8

hope this helps!

Answer: y= -7   y= -5   y= -3   y= -1

Step-by-step explanation:

Answer:

47.15%

Step-by-step explanation:

Getting a raise of 15% would increase the teacher's salary by 300. 943 of 2300 is 47.15%.

Answer:

∠A + ∠B = 90°

Step-by-step explanation:

Complementary angles are angles which, combined, add to 90°. Therefore, an equation displaying the relationship between two complementary angles may look like this: ∠A + ∠B = 90°.

Answer:

10 + 6 - 3

Step-by-step explanation:

Answer:

D. They never intersect

Step-by-step explanation:

Answer:

x-axis

Step-by-step explanation:

The lateral line on a graph is known as the x-axis

Answer:

12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Plug in x, for example if you plug in x in 3x+1 you will get  y which is 4, and the same for the rest.

Answer:

what exactly are we classifying here, angle? Shape?

Answer:

f(x)=x-24

Step-by-step explanation:

It is decreasing by 24. Hope this helps!

Answer:

The formula is f(x) = x-24

Step-by-step explanation:

72-24=48

48-24=24 and so on

Answer:

Since 5:8is constant with respect to x, the derivative of 5:8 with respect to  x is 0.0

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

expressing the ratio as a fraction , that is

[tex]\frac{x}{12}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

Answer:

$456.25 each month

Step-by-step explanation:

Fund for 3 months 3750 * 3 = 11250

Start with 300 => 11250 - 300 = 10950

Within 24 months to reach 10950 => each month = 10950 / 24 = 456.25

She needs to save $456.25 each month for the next 24 months to reach her goal.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Monthly expenses = $3,750

For 3 months = 3 × 3750 = $11250 need to save total.

Since she started with $300 so

11250 - 300 = $10950 need to save total.

Let's say the amount per month is x

24x = 10950

x = 456.25.

Hence "She needs to save $456.25 each month for the next 24 months to reach her goal".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Using it's concept, it is found that there is a 0.4545 = 45.45% probability that the person is from Texas, given that the person prefers brand A.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 176 people who prefer brand A, and of those 80 are from Texas, hence the probability is given by:

p = 80/176 = 0.4545.

0.4545 = 45.45% probability that the person is from Texas, given that the person prefers brand A.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

( i )

now ,

since diameter = 10 cm

[tex]\implies \: radius = \frac{10}{2} = 5 \: cm \\ [/tex]

now ,

[tex]slant \: height \: ( \: l \: ) = \sqrt{h {}^{2} + r { }^{2} } \\ \\ \implies \: \sqrt{(12) {}^{2} + (5) {}^{2} } \\ \\ \implies \: \sqrt{144 + 25} \\ \\ \implies \: \sqrt{169} \\ \\ \implies \: 13 \: cm[/tex]

now ,

[tex]CSA \: of \: cone = \pi \: \times r \times l \\ \\ \implies \: \pi \: \times 5 \times 13 \\ \\ \implies \: 65\pi \: cm {}^{2} [/tex]

_____________________________

_____________________________

( ii )

now when we flatten the cone ,

the slant height becomes the radius of the sector , while the arc becomes the circumference of cone !

[tex]\therefore \: radius = l = 13 \: cm \\ \\ arc \: length = circumference = 2\pi \: r[/tex]

now ,

[tex]s = d \: \theta \: ( \: for \: a \: sector \: ) \\ \\ \therefore \: l\theta \: = 2\pi \: r \\ \\ \implies \: \theta = \frac{2\pi \: r}{l} \\ \\ \implies \: \theta = \frac{2 \times \pi \times 5}{13} \\ \\ \implies \: \theta \: = \frac{10\pi}{13} \\ \\ \implies \theta \: = \: 0.77 \pi [/tex]

hope helpful :D

Step-by-step explanation:

i)

remember, the radius is half the diameter !

the overall surface area of a cone (base circle + "mantle", the lateral, curved surface) is

A = pi×r × (r + sqrt(h² + r²))

so, only the "mantle" or lateral curved stave area is

pi×r × sqrt(h² + r²) = pi×5 × sqrt(12² + 5²) = pi×5×sqrt(169) =

= pi×5×13 = 65×pi cm²

ii)

the length of the arc of the sector is the circumference of the circle, that was the base of the original cone.

that is

2×pi×r = 2×pi×5 = 10×pi cm

the total circumference of the large circle containing that sector is

2×pi×r' = 2×pi×sqrt(h² + r²)

as the radius r' of the circle containing the sector (representing the "mantle" of the cone) is the lateral height of the cone (the distance along its side from the base to the top). and that is per Pythagoras simply the square root of the sum of the square of the inner height and the square of the base radius.

in our case that is

2×pi×sqrt(12² + 5²) = 2×pi×13 = 26×pi cm

the angle of the sector is then 10/26 of the total of 360° for the whole circle :

360 × 10/26 = 138.4615385...°

or, if you need this in terms of pi too, remember that 360° are represented by 2×pi (the arc length of the standard circle).

2×pi × 10/26 = pi × 20/26 = pi × 10/13 =

= 0.769230769... × pi

The scale on the y-axis overemphasizes the difference in salaries between different experience levels.

The histogram is one of the ways of data presentation. Usually, it utilizes rectangles plotted on the x and the y axis.

In this case, the graph is misleading in the sense that; the scale on the y-axis overemphasizes the difference in salaries between different experience levels.

Learn more about histogram:https://brainly.com/question/9972064

#SPJ4

Answer:

A

Step-by-step explanation:

The congruent parts of the triangle are:

< A ≅ <X

<B ≅ <Z

<C ≅ <Y

AB ≅ XZ

AC ≅ AY

BC ≅ ZY

BCA ≅ ZYX

The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.

To learn more about right angled triangle, please check: brainly.com/question/20694080

#SPJ1

Answer:

5. (2x-3)(3x+2)

6.(x-8)(2x-5)

7.(5x-2)(2x+1)

8.(4x+3)(x+3)

Step-by-step explanation:

example on how to solve this in not how you solve your questions

2x times x = 2x2

2x times 2 = 4x

5 times x = 5x

5 times 2 = 10

The factors are (2x + 5)  and (x + 2), so 2x2 + 9x + 10 = (2x + 5) ×  (x + 2)

4x and 5x are interchangeable, so you could put 5x in the first row and 4x in the second row and still get the same answer.

Answer:

Step-by-step explanation:

Answer:

1\frac{7}{8} inches1

8

7

inches

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

2-\frac{1}{8}=\frac{16-1}{8}=\frac{15}{8}=1\frac{7}{8}2−

8

1

=

8

16−1

=

8

15

=1

8

7

Therefore, the difference between the greatest and least amount of rainfall is 1\frac{7}{8} inches1

8

7

inches

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

I hope it helps you

Answer:

a) 15h 45m gap

b) 06h 15m gap

c) 14h 30m gap

d) 16h 25m gap

Answer:

a) 3 hours and 45 mins

b) 18 hours and 15 minmins

c) 2 hours and 30 mins

d) 16 Hours and 20 mins

I might be wrong...

Answer:

243 and 729

Step-by-step explanation:

next will be 81 x 3= 243

next will be 243 x 3= 729

Answer:

243   729  

Step-by-step explanation:

r = common ratio = 3       means multiply each number by 3 to get the next number

3  9   27  81    (81*3 )    ( 81*3)*3

3  9   27   81    243    729

The correct option for this questions is Option C

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36, 13/39, 14/42, 15/45, 16/48, 17/51, 18/54, 19/57, 20/60, and so on ...

Two frations are equivalent when they have the same value when written in lowest terms. The fraction 8/24 is equal to 1/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (1/3) by any interger number, ie, multiply by 2, 3, 10, 30.

Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value. If any fraction is not reduced to lowest terms, you can get other equivalent fractions just dividing both numerator and denominator by the same number.

Thus, option c is your answer

Learn more about equivalent fractions here:

https://brainly.com/question/24679788

Considering the perimeter and the area of the rectangle, the possible dimensions are of 22.11 yards and 4.89 yards.

Considering a perimeter of length l and width w, we have that:

In this problem, considering the amount of fencing as the perimeter, and the area, we have that:

Then:

l(27 - l) = 108

l² - 27l + 108 = 0.

Which is a quadratic equation with coefficients a = 1, b = -27, c = 108, then:

[tex]\Delta = b^2 - 4ac = (-27)^2 - 4(1)(108) = 297[/tex]

[tex]x_1 = \frac{27 + \sqrt{297}}{2} = 22.11[/tex]

[tex]x_2 = \frac{27 - \sqrt{297}}{2} = 4.89[/tex]

Then, the possible dimensions are of 22.11 yards and 4.89 yards.

More can be learned about the perimeter and the area of a rectangle at https://brainly.com/question/10489198

#SPJ1

[tex]\cos 180^{\circ}\\\\=\cos(2 \cdot 90^{\circ})\\\\=2 \cos^2 90^{\circ}-1\\\\=2 \cdot 0 - 1\\\\=0-1\\\\=-1[/tex]