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SpyIntel [72]
2 years ago
6

Find the 19th term in each sequence. 11, 33, 99, 279

Mathematics
1 answer:
Paladinen [302]2 years ago
8 0

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

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You have fifty feet of fencing to use to create a new pen for your dog. Describe three differently-shaped pens you could create.
anastassius [24]

Answer:

rectangle, square, circle

Step-by-step explanation:

Rectangle: length: 10 feet, Width: 50/10=5 feet

Square: length: 50/4=12.5 feet

Circle: 2pi(r)=50, radius=25/pi

4 0
2 years ago
A flag measures 110 feet by 55 feet. Find it’s area
Pani-rosa [81]

Answer:

6050

Step-by-step explanation:

Area = length * width

Area = 110 * 55

Area = 6050

4 0
3 years ago
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A quarter coin is tossed two times. What is the probability that the coin will land heads up both times?
Brut [27]

Answer:

1 in 4 chance

Step-by-step explanation:

because if it is a 50% chance to get heads on one toss, then for two tosses you have to multiply 1/2 * 1/2 and that equals 1/4

8 0
3 years ago
Heyo, please don't ignore! i really need help on these questions
Sauron [17]

Answer:

times

21.12

28

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Step-by-step explanation:

7 0
3 years ago
A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
2 years ago
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