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Mrrafil [7]
3 years ago
5

Find the 11th term of the geometric sequence 1, 4, 16, ...

Mathematics
1 answer:
drek231 [11]3 years ago
6 0

Answer:

a(11) = 4^10 = 1048576

Step-by-step explanation:

The first term of this geometric sequence, a(1), is 1, and the common ratio, r, is 4.  Each new term is 4 times the previous term.  Thus,

a(n) = 1*4^(n - 1), and

a(11) = 4^10 = 1048576

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PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Mila [183]

Answer:

m\angle H = 44.4\°.

Step-by-step explanation:

Given:

In Right Angle Triangle GIH

∠ I = 90°

GI = 7    ....Side opposite to angle H

GH = 10  .... Hypotenuse

To Find:

m∠H = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

sin \ H = \frac{Oppsite\  side\  to\  \angle H}{Hypotenuse}

Substituting the values we get;

sin\ H = \frac{7}{10} = 0.7

Now taking sin^{-1} we get;

\angle H = sin^{-1}\ 0.7 = 44.427

rounding to nearest tenth we get.

m\angle H = 44.4\°.

Hence m\angle H = 44.4\°.

6 0
3 years ago
3c-2(c+10)=7c-5(c+2)
jeka94

Answer: C= -10

Step-by-step explanation: First step: simplify both sides of the equation

3c−2(c+10)=7c−5(c+2)

3c+(−2)(c)+(−2)(10)=7c+(−5)(c)+(−5)(2) (Distribute)

3c+−2c+−20=7c+−5c+−10

(3c+−2c)+(−20)=(7c+−5c)+(−10) (Combine Like Terms)

c + -20 = 2c - 10

c - 20 = 2c - 10

Step 2: Subtract 2c from both sides

c - 20 - 2c = 2c -10 - 2c

−c−20=−10

Step 3: Add 20 to both sides

−c−20+20=−10+20

−c=10

Step 4: Divide both sides by -1

-c/-1 = 10/-1

C=-10

   

6 0
3 years ago
A car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft
lana66690 [7]

Answer:. 95.33 ft/sec

Multiply 65 by 5280 to get 343200 feet per hour. Then Divide by 3600. There are 60 minutes in an hour, and 60 seconds in a minute.

343200 ÷ 3600 = 95.333

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the surface area of the prism
slega [8]
Surface Area of the Prism = (6x4) = 2(5x4) + 2(1/2x6x4)

Surface Area of the Prism = 24 + 40 + 24

Surface Area of the Prism =88 cm²

------------------------------------------------------------------
Answer: Surface Area of the Prism =88 cm²
------------------------------------------------------------------

7 0
3 years ago
What will be the value of the constant term when the function f(x) = 2x^2 -16x +10 is in vertex form?
777dan777 [17]

Answer:

(4,-22)

Hope this helps!

3 0
3 years ago
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