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lys-0071 [83]
3 years ago
6

{c(1) = 3/16 {c(n)=c(n−1)⋅4 ​ what is the 3rd term in this sequence?

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

Answer:

\large\boxed{c(3)=3}

Step-by-step explanation:

\left\{\begin{array}{ccc}c(1)=\dfrac{3}{16}\\\\c(n)=c(n-1)\cdot 4\end{array}\right

Put n = 2 and next n = 3 to the recursive formula:

c(2)=c(2-1)\cdot4=c(1)\cdot4\to c(2)=\dfrac{3}{16}\cdot4=\dfrac{3}{4}\\\\c(3)=c(3-1)\cdot4=c(2)\cdot4\to c(3)=\dfrac{3}{4}\cdot4=3

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Which is greater 1/10 or .09 why?
lesantik [10]

Answer:

1/10

Step-by-step explanation:

Decimal Form:

0.09

0.1

Fraction Form:

9/100

1/10

Percentage Form:

9%

10%

Hope that helps :-)

6 0
2 years ago
Read 2 more answers
Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
3 years ago
How many square inches of fabric does Mindy use to cover the entire box
topjm [15]
Times them together
5 0
3 years ago
Solve the linear inequality<br> -17x+2&lt;-10x-19
Marizza181 [45]

Answer:

x > 3

Step-by-step explanation:

-17x + 2 < -10x - 19

_____________

.Subtract 2 from both sides.

-17x + 2 - 2 < -10x - 19 - 2

____________________

.Simplify.

-17x < -10x - 21

__________________

.Add 10x to both sides.

-17x + 10x < -10x - 21 + 10x

____________________

.Simplify.

-7x < -21

_________________

.Multiply both sides by -1 (reverse the inequality).

(-7x)(-1) > (-21)(-1)

______________________

.Simplify.

7x > 21

_______________________

.Divide both sides by 7.

7x/7 > 21/7

_____________________

.Simplify.

x > 3

8 0
2 years ago
Explain why it is not possible to draw a square that is not a parallelogram.
Semenov [28]
Because all the sides have to be even to make a square if it wasn't then it wouldn't be a square
8 0
3 years ago
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