Add. Write the answer as a fraction simplified to lowest terms.
2+1 15 20 =

Answer:

Radius.

Step-by-step explanation:

● The distance from the centre to any other point on the circle is known as the radius.

Other Definitions:

● Diameter is the the distance from one point to another point of the circle which passes through the centre of the circle.

● The space enclosed by a figure is known as its area. Area of a circle = πr²

● Circumference of a circle is its outer perimeter. Circumference = 2πr

____________

Hope it helps ⚜

Simplify both sides to compare:

6^2 - 2^2 = 36-4 = 32

4(6+2) = 4 x 8 = 32

they are equal to each other.

Answer: B. =

Based on the net cashflow over the three year life, the NPV that Sausage Hut will realize is -$17,891.

First find the present value of the increased cashflows. As it is a constant amount of $123,300, we can treat it as an annuity.

Present value = Amount x (Present value of annuity interest factor, 9%, 3 years)

= 123,300 x 2.5313

= $312,109.29

The net present value is:
= Present value of cashflows - Amount invested

= 312,109.29 - 330,000

= -$17,890.71

= -$17,891.

In conclusion, option B is correct.

Find out more on Net Present Value at https://brainly.com/question/13228231.

Answer:

4 feet by 3 feet

Step-by-step explanation:

width-to -height ratio of 16:9

Let analyse all possible answers:

4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

I choose A.

Hope it will find you well.

Answer:

[tex]7x2x5= 70[/tex]

Hope This Helps! :)

Answer:

vertex: (3, -10)

axis of symmetry:  x = 3

Step-by-step explanation:

Vertex form of a quadratic equation:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex)

Rewrite the given equation in vertex form by completing the square.

Given equation:

[tex]y=3x^2-18x+17[/tex]

Add 10 to both sides:

[tex]y+10=3x^2-18x+27[/tex]

Factor RHS:

[tex]y+10=3(x^2-6x+9)[/tex]

[tex]y+10=3(x-3)^2[/tex]

Subtract 10 from both sides:

[tex]y=3(x-3)^2-10[/tex]

Therefore, the vertex is (3, -10)

The axis of symmetry is the x-value of the vertex.  
Therefore, the axis of symmetry is x = 3.

Answer:

Axis of symmetry: x = 3

Vertex: (3, -10)

Step-by-step explanation:

y = 3x² - 18x + 17

Axis of symmetry formula: x = [tex]\sf{\frac{-b}{2a}}[/tex]

[tex]\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}[/tex]

Now, substitute 3 for x in your original equation to find the value of y:

y = 3x² - 18x + 17

y = 3(3)² - 18(3) + 17 <== exponents first

y = 3(9) - 54 + 17 <== multiply

y = 27 - 54 + 17 <== subtract

y = -27 + 17 <== add

y = -10

Vertex: (3, -10)

Hope this helps!

Answer:

D

Step-by-step explanation:

When you flip a point around the y axis the x value is inverted since the point is moved to the opposite side across the y axis.

Answer:

Here is answer my monkey brotheren

Step-by-step explanation:

Answer:

3 1/3 hours

Step-by-step explanation:

if you use cross multiplication and multiply 1 by 2 2/3 you get 2 2/3 and if you multiply 1/4 by 2 2/3 add them together and you'll get 3 1/3 hours or also known as 3 hours and 20 minutes

Answer:

D

Step-by-step explanation:

To reflect over the Y axis, the X values of each coordinate must be made into opposites. So a coordinate with the form (x,y) will become (-x,y) when reflected across the Y axis, which is needed here.

Count the total number of permutations of the word "calculus": there are 8 letters, hence 8! = 40,320 total permutations.

Count the number of permutations in which the two L's occur next to each other. Effectively we're now talking about words consisting of 7 letters, of which there are 7! = 5,040.

It follows that there are

8! - 7! = 35,280

words in which two L's do not appear next to each other.

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

D.

Answer:

100 trees per person

Step-by-step explanation:

10^12 trees / 10^10 persons =  10^(12-10) = 10^2 trees/person

Answer:

Step-by-step explanation:

Givens

There are 10^12 trees

There are 10^10 people

Solution

Number of trees / person = Number of trees / Number of people = 10^12/10^10= 10^(12 - 10) = 10^2 = 100

There will be 100 trees / every person on the planet.

6.5 because if you place the numbers from smallest to greatest and find the two numbers in the middle which are 5 and 8 you should add them and then divide by 2 and this is the answer

We will see that the total mass of the entire archway is M = 129.1578g

We know that each ballon weighs 0.027 grams for the plastic.

Now, we also need to remember the relation:

mass = density*volume.

Here, the density of helium is 0.1785 g/L

And the volume of each ballon is 1.1 L, then the mass of helium in each ballon is:

m = (0.1785 g/L)*(1.1 L) = 0.1964 g

Then the total mass of each ballon is:

M = 0.1964 g + 0.027g = 0.2234g

And there are 417 ballons, so the total mass (also adding the 36 grams for the strings) is:

Mass = 417*0.2234g + 36g = 129.1578g

If you want to learn more about mass, you can read:

https://brainly.com/question/1354972

Answer:

x^2 – 4 = 0   AND   4x^2 = 16

Step-by-step explanation:

a) x^2 – 4 = 0 --> (x + 2)(x - 2)=0 --> x= -2 AND x= +2

b) x^2 = -4 doesn't have any solution in the real numbers.

c) 3x^2 +12 = 0 -->(divide by 3)-->  x^2 +4 =0 ---> x^2 = -4  as b)

d) 4x^2 = 16 -->(divide by 4)--> x^2 = 4  --> x^2 -4 = 0 as a)

e) 2(x -2)^2 =0 -->(divide by 2)--> (x-2)^2 =0 --> one solution that is x=+2

Answer:

If the tax rate = 3.9% and the product u are buying is priced at $42 Then, the amount you will pay for the object will be, $42 + 3.9/100 * 42

Step-by-step explanation:

I hope this help

Using the normal distribution, it is found that there is a 0.0228 probability that a randomly selected score is greater than 334.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 310, \sigma = 12[/tex]

The probability that a randomly selected score is greater than 334 is one subtracted by the p-value of Z when X = 334, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{334 - 310}{12}[/tex]

Z = 2

Z = 2 has a p-value of 0.9772

1 - 0.9772 = 0.0228.

0.0228 probability that a randomly selected score is greater than 334.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

infinity

Step-by-step explanation:

the distributive property is used when 3 is multiplied to x and 5 so it becomes 3x-15 and you combine like terms after that.

Answer:

1.5 litres

Step-by-step explanation:

1/2 of the punch in a 3 litre bottle is found by dividing 3 by 2, splitting it in half. 3÷2=1.5, or 1 and a half litres

Answer:

negative correlation

Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

Answer:

It is A

Step-by-step explanation:

The denominator , 'x' cannot be 0    <=====undefined

  but it CAN be any other number

    domain ( the 'x' values' ) can be all numbers except 0

 The range will be all numbers except zero also....there is no way to make the y = 9/x  eqaul to 0 .

your answer is going to be a

Answer:

So you shade 8 parts in and the remaining is 4 so that the other 1/3 of 2/3

Answer

so basically you're asking shade 2/3 out of 12 equal pieces

so lets do 12 divided by 3 witch is four

so there would be 3 parts that have 4 pieces, and 4 times two is eight, so shade in 8 pieces :0 :)

Answer:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12