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timurjin [86]
3 years ago
13

What is the pattern in the values as the exponents increase? Powers of 2 Value 2 Superscript negative 5 StartFraction 1 Over 32

EndFraction 2 Superscript negative 4 StartFraction 1 Over 16 EndFraction 2 Superscript negative 3 StartFraction 1 Over 8 EndFraction 2 Superscript negative 2 One-fourth 2 Superscript negative 1 One-half 2 Superscript 0 1 add StartFraction 1 Over 16 EndFraction to the previous value subtract StartFraction 1 Over 16 EndFraction from the previous value divide the previous value by 2 multiply the previous value by 2 Please

Mathematics
2 answers:
romanna [79]3 years ago
7 0

Answer:

Step-by-step explanation:

proof

Tatiana [17]3 years ago
6 0

Answer:

(D)Multiply the previous value by 2

Step-by-step explanation:

\left|\begin{array}{c|c}$Powers of 2&Value\\2^{-5}&\frac{1}{32}\\\\2^{-4}&\frac{1}{16}\\\\2^{-3}&\frac{1}{8}\\\\2^{-2}&\frac{1}{4}\\\\ 2^{-1}&\frac{1}{2}\\\\2^{0}&1\end{array}\right|

From the given table, we observe that the negative power of 2 reduces by 1 at each step.

2^{-5}X2=2^{-4}\\2^{-4}X2=2^{-3}\\2^{-3}X2=2^{-2}

Therefore, as the exponents increase, we multiply the previous value by 2 to obtain the next value.

The correct option is D.

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A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag
Sveta_85 [38]

Answer:

\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s

where B stands for Base area

and P for Base Parimeter

so

\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s

now we need our algebraic skills to figure out s

simplify parentheses:

\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144

reduce fraction:

\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32}  \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144

simplify multiplication:

\displaystyle \: 16s + 64 = 144

cancel 64 from both sides;

\displaystyle \: 16s = 80

divide both sides by 16:

\displaystyle \: \therefore \: s = 5

now we'll use Pythagoras theorem to figure out height

according to the theorem

\displaystyle \:  {h}^{2}  +  (\frac{l}{2} {)}^{2}  =  {s}^{2}

substitute the value of l and s:

\displaystyle \:  {h}^{2}  +  (\frac{8}{2} {)}^{2}  =  {5}^{2}

simplify parentheses:

\displaystyle \:  {h}^{2}  +  (4 {)}^{2}  =  {5}^{2}

simplify squares:

\displaystyle \:  {h}^{2}  +  16  =  25

cancel 16 from both sides:

\displaystyle \:  {h}^{2}   =  9

square root both sides:

\displaystyle \:   \therefore \: {h}^{}   =  3

recall the formula of a square pyramid

\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h

where A stands for Base area (l²)

substitute the value of h and l:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  \{8 \times 8 \}\times 3

simplify multiplication:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  64\times 3

reduce fraction:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times  64\times \cancel{ \:  3}

hence,

\sf\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

8 0
3 years ago
PEASE PLEASE HELP & EXPLAIN
Vikki [24]

Answer:the answer is NO.

Step-by-step explanation:

Because the number 9, repeats itself in the domain.

7 0
3 years ago
Given f(x)=3x-1 find f(-1)
vaieri [72.5K]

Answer:

<h2>f( - 1) = - 4</h2>

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

<h3>f(-1) = - 4</h3>

Hope this helps you

7 0
3 years ago
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Roman55 [17]

Answer:

|answer|  \\ 1)0=0 \\ 2)0=28

3)The example equation becomes "x + 10 - 15x = 20," which is then "-14 x + 10 = 20." Subtract 10 from each side, divide by 14 and you have end up with x = -10/14, which simplifies to x = -5/7. Plug in the x value in to the first equation to find out the y value. y = 2 - 3(-5/7) becomes 2 + 15/7, which is 29/7.

3 0
2 years ago
Type the equation that shows the pattern among this set of ordered pairs.
Ludmilka [50]
Line y=mx+b  has  point (0,b).
If you've got poind (0,4)  -  you can write, that b=4. 
So this is line y=mx+4 
Now slope.  You've got point (1,0), so  for x=1,  y=0.  Substitute:
m * 1 + 4 = 0 
m+4 = 0 
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So equation of this line is: y=-4x+4 

4 0
3 years ago
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