2. What is the area of the shaded region below? Notice
that the angle is 120 degrees and the radius of the
circle is 8 inches.
8
120

Answer:

The domain of a function is the set of all possible inputs for the function.  The range of a function is the set of all possible outputs for the function.

Step-by-step explanation:

Answer:

P(t) = I × ( 1 +g)^t

14922

2013

Step-by-step explanation:

Given the following :

Growth rate (g) = 5% = 0.05

Initial population (I) = 10,100

Time (t) = t (t = 0 in year 2000)

A) population function P(t)

P(t) = I × ( 1 +g)^t

P(t) population in t years

I = inital population

g = growth rate

t = years after year 2000

B) Population Estimate in year 2008

2008 - 2000 = 8 = t

P(8) = 10,100 × ( 1 +0.05)^8

P(8) = 10,100 × (1.05)^8

P(8) = 10,100 × 1.4774554437

P(8) = 14922.299 = 14922

C.) Nearest whole year when population will reach over 18,400

18,400 = 10,100 × ( 1 +0.05)^t

18400 = 10,100(1.05)^t

1.05^t = 18400 / 10,100

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

(0.0487901)t = 0.5998152

t = 0.5998152 / 0.0487901

t = 12.293789

To attain a population of 18400 and over, the nearest whole year = 13 years

2000 + 13 = 2013

Answer: n> or equals to 3

Step-by-step explanation:

Find explanation on the attachment

3^4*5^4 = (3*5)^4 = 15^4

Raise this to the exponent -3 and we get

(3^4*5^4)^(-3) = (15^4)^(-3) = 15^(4*(-3)) = 15^(-12)

The last step is to use the rule

x^(-k) = 1/( x^k )

So,

15^(-12) = 1/( 15^12 )

It seems like Tania multiplied all the exponents to get 4*4*(-3) = 16*(-3) = -48, but you only multiply the inner and outer exponents together as I did when I went from (15^4)^(-3) to 15^(-12)

Answer:

Median

Step-by-step explanation:

A line that goes from the vertex of a triangle to the midpoint of the opposite side is a median.

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

[tex]\sqrt{x} = x^{1/2}[/tex]

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

[tex]\sqrt[3]{x} = x^{1/3}[/tex]

Many calculators don't have a button labeled [tex]\sqrt[3]{}[/tex] but they have the button [tex]x^y[/tex] to allow fractional exponents.

Let the width be x.

Then,length = 2x + 3

Area of rectangle = 560 [ Given ]

⇒ l × b = 560

⇒ ( 2x + 3 ) x = 560

⇒ 2x² + 3x - 560 = 0

⇒ 2x² + 35x - 32x - 560 = 0

⇒ x ( 2x + 35 ) - 16 ( 2x + 35 ) = 0

⇒ ( x - 16 ) = 0 and ( 2x + 35 ) = 0

⇒ x = 16 and x = -35/2 [ Ignore negative number ]

★ Width = x = 16 cm

★ Length = 2x + 3 = 2 × 16 + 3 = 32 + 3 = 35 cm

Answer:

r = 14,8

Step-by-step explanation:

Hope you can read my writing ;-)                                                                                

The length that can be found using the Law of Sine rule is

r= 14.80 units

Generally,

Generally, the equation for sin rule is  mathematically given as

[tex]\frac{p}{sinP} = \frac{q}{sinQ} = \frac{r}{sinR}[/tex]

Where

p = 9.5 units

∠P = 27°

∠R = 135°

Therefore

[tex]\frac{9.5}{sin 27^0} = \frac{q}{sin Q} = \frac{r}{sin 135^0}[/tex]

[tex]\frac{9.5}{sin 27^0} = \frac{r}{sin 135^0}[/tex]

9.5 x 0.7071 = r x 0.4540

r = 14.80 units

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Answer:

92.5

Step-by-step explanation:

When you would look at this you would just see that there are if you divide 370 by 2 and 2 again you will not get a small number so the only logical answer is 92.5

The number would be 92.5

First, we have to convert decimal to fraction

  370/(25/10 * 16/10)

now, reduce the expression to the lowest term

  370/4

reduce the fraction

185/2

=92.5

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator

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Step-by-step explanation:

According to Boyle's Law :

[tex]p _1v _1 = p _2v _2[/tex]

[tex]v _2 = \frac{p _1v _1}{p _2} = \frac{215 \times 51}{18.5} = 592.7ml[/tex]

The pressure exert in a container is 592.70 torr.

To find The pressure exert in a container.

Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.

Given that :

pressure([tex]P_{1}[/tex])=215 torr

volume ([tex]v_{1}[/tex])=51.0 mL

volume([tex]v_{2}[/tex])= 18.5 mL

[tex]P_{2}[/tex]=?

Number of moles and the temperature remain constant.

By the use of "Boyle's law" :

[tex]P_{1} V_{1} =P_{2} V_{2} \\\\215*51=P_{2} *18.5\\\\P_{2} =\frac{215*51}{18.5} \\\\P_{2} =592.70 torr[/tex]

So, the pressure exert in a container is 592.70 torr.

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Answer:

3(3 +4n)

OR

9 + 12n

Step-by-step explanation:

9 + 12n

Factorize it

3(3 +4n)

OR

The answer is the same.

Since we can't add a number with a number and letter. So in that case the answer is ;

9 + 12n.

Thanks !!!!

Answer:

A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.

Step-by-step explanation:

Answer:

law is federal

Step-by-step explanation:

ik

Answer:

x = 0

Step-by-step explanation:

First, distribute the -4 to the parentheses:

-4 + 3x = 2x - 4(1 - 3x)

-4 + 3x = 2x - 4 + 12x

Then, add like terms:

-4 + 3x = 14x - 4

Solve for x:

3x = 14x

0 = 11x

0 = x

Answer:

x=0

Step-by-step explanation:

We are given the following equation and asked to solve. We must solve for x by isolating x on one side of the equation.

-4 + 3x= 2x-4(1-3x)

First, distribute the -4. Multiply each term inside the parentheses by -4.

-4+3x=2x + (-4*1) + (-4*-3x)

-4+3x= 2x -4 + (-4*-3x)

-4+3x= 2x-4+12x

Combine like terms on the right side of the equation. The terms 2x and 12x can be added.

-4+3x= (12x+2x)-4

-4+3x=14x-4

Next, subtract 3x to both sides of the equation.

-4+3x-3x=14x-3x-4

-4= (14x-3x)-4

-4= 11x-4

Next, add 4 to both sides of the equation.

-4+4=11x-4+4

-4+4=11x

0=11x

Finally, divide both sides of the equation by 11.

0/11= 11x/11

0/11=x

0=x

The solution to the equation -4 + 3x= 2x-4(1-3x)  is x=0

Answer:

The answer is 27

Hope this helps

Answer:

x=27

Step-by-step explanation:

What you need to do is isolate the x or in other words have the x be alone on one side of the equal sign. To do this you would need to add 21 to both sides because you need to cancel out -21 with the opposite which would be positve 21. After that the x should be by itself and then finally add 21 to 6 to complete solving for x.

================================================

Work Shown:

Use the given area A = 28.3 to find the radius r

A = pi*r^2

28.3 = 3.14*r^2

3.14*r^2 = 28.3

r^2 = 28.3/3.14

r^2 = 9.01273885350319 approximately

r = sqrt(9.01273885350319)

r = 3.00212239149292

---------

Which is then used to find the circumference

C = 2*pi*r

C = 2*3.14*3.00212239149292

C = 18.8533286185756

C = 18.9

Answer:

x = 13ft

Step-by-step explanation:

The isosceles triangle is a polygon with three sides, two being equal and the other unequal.

The angles P and N will also be equal  and the M other different.

PM ≅ MN

∠P ≅ ∠N

PN = 2x

because the line starting at M divides the triangle into two sections

26 = 2x

2x = 26

x = 26 /2

x = 13ft

Answer: [tex]\sqrt{66}[/tex]

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2  where a and b are the two legs.  

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + [tex]\sqrt{50} ^2[/tex]  = C^2

16 +  50 = c^2

  66 = c^2

    c =[tex]\sqrt{66}[/tex]  

Answer:

Let total pages be x

ATQ,

(x/5)+40=7x/10

(x+200)/5=7x/10

Cross multiply

10x+2000=35x

10x-35x=-2000

-25x=-2000

x=2000/25

x=80 pages

Therefore pages left= 3/10 of pages

=3*80/10=24 pages

Answer:

(x/5)+40=7x/10

(x+200)/5=7x/10

Cross multiply

10x+2000=35x

10x-35x=-2000

-25x=-2000

x=2000/25

x=80 pages

Therefore pages left= 3/10 of pages

=3*80/10=24 pages

ther u is good person

Answer:

x = -8.07107, 6.07107

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Write out equation

x(x + 2) = 49

Step 2: Distribute

x² + 2x = 49

Step 3: Subtract 49 on both sides

x² + 2x - 49 = 0

Step 4: Quadratic Formula

a = 1

b = 2

c = -49

x = -8.07107, 6.07107

Answer: 706 x[tex]10^{-4}[/tex]

It can also be written as 7.06 x [tex]10^{-3}[/tex]

Answer:

Step-by-step explanation:

0.0706 * 10 (0) the zero is supposed to be on top of the 10

Answer:

[tex]x - (-8) = 3[/tex]

[tex]x = -5[/tex]

Step-by-step explanation:

Equation

[tex]x - -8 = 3[/tex]

Solving (a): Using Parenthesis

The equation can be rewritten by putting -8 in a parenthesis as follows;

[tex]x - (-8) = 3[/tex]

Solving (b): The correct answer

[tex]x - (-8) = 3[/tex]

Start by opening the bracket

[tex]x + 8 = 3[/tex]

Subtract 8 from both sides

[tex]x + 8 - 8 = 3 - 8[/tex]

[tex]x = 3 - 8[/tex]

[tex]x = -5[/tex]

Hence, the correct solution is [tex]x = -5[/tex]

Answer: 9 hours

If austin prepared 20 kg of dough in 5 hours, this means he can prepare 4kg of dough an hour. This is because 20/5=4. Knowing this information, it would only make sense that Austin worked for 9 hours to prepare 36 kg of dough.

This is because 36/4=9.

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Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Austin prepared 20 kg of dough in 5 hours. Now you see he made 4 kg of dough in a hour, wanna know how? divide 20 to 5 = 4

Now thats done, ill show you the steps of how i got the answer 9.

So we will use that 4 we got from 20 divided by 5 and divide 36 by that 4 and we will get our answer!

--> 20÷5 = 4

    36÷4= 9

Answer:

$125

Step-by-step explanation:

Given the following :

Number of desks sold = 3

Amount of rent paid = $4

Amount paid to carpenter = 1/2 of revenue

Amount left = $185.50

At what price did Ryan sell each desk?

If Rayee gave half of his revenue to the carpenter and then had $185.50 left,

The his revenue before paying the carpenter will be twice what he has left ($185.50 * 2) = $371

Hence, total revenue from the sale of 3 desk= ($371 + rent) = (371 + 4) = $375

Then each desk cost :

$375 / 3 = 125

$125

Answer:

80%

Step-by-step explanation:

Total area is the area of two circles. Each circle if accepted as a unit, in total it equals to 2 units.

Shaded area:

Percentage of shaded area compared to total:

Answer: 80% of all region is shaded

Answer:

1151.25

Step-by-step explanation:

You would divide $27,630 by 12 months.

You would then have her monthly salary. Since there are 4 weeks in a month, she has two pay periods. You would divide her monthly salary (2302.5) by two weeks, to get $1151.25

Dimensional Analysis