Find the area of the shaded region:

Answer:

[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]

or

[tex]\frac{(3x+2)}{x^2+x}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]

Answer:

Look at the attachment

- sorry that it’s a bit messy, if you can’t read something let me know

Omg! Thank you. I was stuck for like an hour till I found this.

Answer:

Omg, thank you so much

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1-3)/(5-1)= -2/4= -1/2

y - 3 = -1/2(x - 1)

y - 3 = (-1/2)x + 1/2

y - 6/2 = (-1/2)x + 1/2

y = (-1/2)x + 7/2

Answer:

7/22

Step-by-step explanation:

Probability of picking a red sock the first time: 7/12

Probability of picking a red sock the second time: 6/11 (Since you already took out one sock, thus decreasing both the number of red and total socks in the drawer.)

7/12 * 6/11  = 42/132

42/132 = 7/22

Answer:

What is 19 percent (calculated percentage %) of number 50? Answer: 9.5.

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

19% of 50

Convert the percentage to a decimal.

19% = 0.19

Multiply the decimal by the number.

50 × 0.19 = 9.5

9.5 is the answer.

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

Answer: [tex]6<z<18[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find z first.

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

a = 12

b = 6

c = z

[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]

z is greater than a and b

Answer:

C is face

B is edge

A is vertex (where 2 or more points meet)

Answer:

Idk what you need but here is everything possible

Step-by-step explanation:

Paul = 36kg

Felix = 18kg

Frank = 22kg

36+18+22=76

Their weight all together is 76kg.

Answer:

Paul is 36 kg

Felix is 18 kg

Frank is 22 kg

Step-by-step explanation:

Pauls answer is in the question (36kg)

Felix is half of paul 36/2=18

Frank is 4 kg more than Felix 36/2=18  18+4=22

Answer:

y = 8x

Step-by-step explanation:

a  y = 8x

 40 = 8*5

 40 = 40

This is a solution

Answer:

216

Step-by-step explanation:

I think that it is 216 because if you add 18 and 10 you get 28 then multiply 28 by 12 then you get 336. Then you will find the area of the unshaded part which is 120. Then you will subtract 120 from 336 to get 216.

Hope this helps

Answer:

C. 0.000021

Step-by-step explanation:

Each roll of the die is an independent event.

The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.

Probability of rolling a 1:

There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.

There is one desired outcome, rolling a 1.

p(1) = 1/6

Probability of rolling a 2:

Similar to rolling a 1, there is 1 desired outcome,rolling a 2, out of 6 possible outcomes.

p(2) = 1/6

The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.

p(1, 2, 3, 4, 5, 6, in that order) = p(1) * p(2) * p(3) * p(4) * p(5) * p(6)

= (1/6)^6

= 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6

= 1/46,656

= 0.000021433

Answer: C. 0.000021

Answer:

y=mx+b

Step-by-step explanation:

Hope this helps.

Step-by-step explanation:

203*205

(200+3)*(200+5)

200²+200(5+3)+15

40000+3000+15

403015

Answer:

No, there isn't enough information to prove that the lateral faces are rectangles

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The radius is half of the distance across the circle

The answer is 2 units

Answer: The answer is 10,000

Step-by-step explanation:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

(Your Welcome)

Answer:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

Answer:

number 1 is 5 inches

Step-by-step explanation:

it fits in the 15 inches 3 times.

5*3=15

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]

[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]

[tex]b \approx 15.022[/tex]

Angle A (Law of Cosine)

[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]

[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]

[tex]\cos A = 0.315[/tex]

[tex]A= \cos^{-1} 0.315[/tex]

[tex]A \approx 71.639^{\circ}[/tex]

Angle C (Sum of internal angles in triangles)

[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]

[tex]C = 45.361^{\circ}[/tex]

Hence, the right answer is B.

Answer:

12

Step-by-step explanation:

The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!

Answer: E. 2/3

Step-by-step explanation:

Division is the same thing as fractions. So 2 divided by 3 is the same thing as 2/3

Answer:

E.

Step-by-step explanation:

A) 3(1/2)= 3/2= 1 1/2 X

B) 3/1(2/3)= 6/3= 2 X

C) 2(3)= 6 X

D) 3/2= 1 1/2 X

E) 2/3= 2/3 lol

This would make it E

Answer:

One solution

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex](2^{-4}z^{-3})^{5}[/tex]

several ways to approach this.

use power rule.  [tex](a^{m} )^{n} = a^{mn}[/tex]

[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]

[tex](2^{-20} z^{-15} )[/tex]

RULE:  [tex]x^{-1} = \frac{1}{x}[/tex]

[tex]\frac{1}{(2^{20}z^{15}) }[/tex]

Answer:

I believe it’s 1/2

Step-by-step explanation:

Take a point on the graph and use rise over run method

Answer:

Step-by-step explanation:

You can find the slope by picking a point such as (8,5).

Slope = rise over run.

(8,5) is 8 units right and 5 units up, thus the slope is 5/8

Hope this helps.

The amount in equation is 5d + 3h + 8s = 231.

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

Given:

Jeremy had 5 Roosevelt dimes,

3 Kennedy half dollars,

and 8 silver dollars in his coin.

Total amount = $231

As, let d be the collector value of a dime

let h be the collector value of a half dollar

let s be the collector value of a silver dollar

Now, to represent the amount in equation

5d + 3h + 8s = 231

Learn more about equation here:

https://brainly.com/question/11897796

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