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Ymorist [56]
2 years ago
5

Find the area of a circle with a diameter of 8m in terms of pi

Mathematics
1 answer:
tekilochka [14]2 years ago
5 0

Answer:

16π

Step-by-step explanation:

Area of a circle = πr²

8/2 = 4

Then you plug in 4 in to the formula above.

Have a great day :)

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Help me plz branniest to whoever right
Iteru [2.4K]

Answer:

vertex: (-1,25)

aos; -1

left x int: -6

right x int: 4

(not sure)

range is less than of equal to 25

4 0
2 years ago
There are 45 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 1/5 of the remaining house
Makovka662 [10]
45 new houses.....last month 1/3 were sold....
1/3(45) = 45/3 = 15 houses sold last month

this month, 1/5 of the remaining houses were sold...
remaining houses left are (45 - 15) = 30
1/5(30) = 30/5 = 6 houses sold this month

houses left : 45 - 15 - 6 = 45 - 21 = 24 houses remain <==
8 0
3 years ago
Calculate the missing terms of the geometric sequence ...,3072, 7,2,7, 12,.... Select all that apply.
miskamm [114]

Answer:

The missing terms are 768, 192, 48.

Step-by-step explanation:

From the given geometric sequence

First term= a_1=3072

Fifth Term= a_5=12  

The general form of a geometric sequence is:

a_n=ar^(n-1)

here a_nis the nth term, a is the first term and r is the common ratio.

We will use the general form for term 5 to calculate the value of r.

So the general form for term 5 will be

a_5=3072* r^(5-1)

Putting the value of a_5

12=3072* r^4

r^4=  12/3072

r^4=  1/256

r^4=  1/[(4)^4]

Solving for r  

r=  1/4

Now  

a_2= ar^(2-1)

a_2=3072*r

a_2=3072*  1/4

a_2=768

a_3= ar^(3-1)

a_3=3072*r^2

a_3=3072*(1/4)^2

a_3=3072*  1/16

a_3=192

a_4= ar^(4-1)

a_4=3072*r^3

a_4=3072*(1/4)^3

a_4=3072*  1/64

a_4=48

6 0
3 years ago
Also these 2 :) determining the vertex and shifts/translations
Mrrafil [7]

Answer:

The answer to your question is below

Step-by-step explanation:

A) f(x) = x² + 4x + 1

Find the vertex

       y = x² + 4x + 1

-Subtract 1 in both sides

      y - 1 = x² + 4x

-Complete the perfect trinomial square in the right side

     y - 1 + (2)² = x² + 4x + (2)²

-Simplify

     y - 1 + 4 = (x + 2)²

     y + 3 = (x + 2)²

-Find the vertex

      V = (-2, -3)

B)

   f(x) = x²

   g(x) = (x - 4)² - 2      See the picture below

Shifted right           4 units

Shifted down         2 units

6 0
3 years ago
2. After the orchestra completed its program
stiv31 [10]
<h3><u>Question:</u></h3>

After the orchestra completed its program, there was a party to allow the patrons to mingle with the  musicians. Kayla’s Catering provided the food, drinks, and service for the party. There were two  hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To  that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party?

<h3><u>Answer:</u></h3>

The total bill for catering the party is $ 8689.86

<h3><u>Solution:</u></h3>

Kayla’s Catering provided the food, drinks, and service for the party

Total number of guests = 207

Charge for food for 1 guest = $ 27

Charge for drink for 1 guest = $ 10

Charge for service for 1 guest = $ 4.98

<em><u>To find: Kayla total bill for cater</u></em>

Total bill = Total number of guests(Charge for food for 1 guest + Charge for drink for 1 guest + Charge for service for 1 guest)

Total\ bill = 207(27+10+4.98)\\\\Total\ bill = 207(37 + 4.98)\\\\Total\ bill = 207 \times 41.98\\\\Total\ bill = 8689.86

Thus total bill for catering the party is $ 8689.86

4 0
2 years ago
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