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3 years ago

()) Solve for w. W times 1/2= 7/8

Mathematics

1 answer:

nikklg [1K]3 years ago

7 0

W equals 14/8 is the correct answer

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About Prove each of the following statements using mathematical induction. (a) Define the sequence {cn} as follows: c0 = 5 ck =

strojnjashka [21]

$\begin{cases}c_0=5\\c_n={c_{n-1}}^2&\text{for }n\ge1\end{cases}$

For $n=1$ , we have by this definition $c_1={c_0}^2=5^2$ which is equal to $5^{2^n}$ for $n=1$ .

Assume $c_n=5^{2^n}$ for some $n=k$ . We want to use this to show that this implies $c_{k+1}=5^{2^{k+1}}$ . By the recursive definition,

$c_{k+1}={c_k}^2=(5^{2^k})^2=5^{2^{k+1}}$

and we're done.

$\begin{cases}b_0=1\\b_n=2b_{n-1}+1&\text{for }n\ge1\end{cases}$

For $n=0$ , we have $b_0=1$ , and $2^{n+1}-1=1$ .

Assume $b_n=2^{n+1}-1$ for some $n=k$ . Then for $n=k+1$ , we have

$b_{k+1}=2b_k+1=2\left(2^{k+1}-1\right)+1=2^{k+2}-1$

and we're done.

8 0

3 years ago

Solve the equation below. Indicate which solutions, if any, are extraneous. √ x+5 = x+3

ahrayia [7]

9514 1404 393

Answer:

x = -1

Step-by-step explanation:

A graphical solution can avoid extraneous solutions. The attachment shows the one solution is x = -1.

Squaring both sides gives ...

x +5 = (x +3)² = x² +6x +9

Putting this in standard form, we have ...

x² +5x +4 = 0

(x +1)(x +4) = 0 . . . . . factor

x = -1 or -4 . . . . . . . . values of x that make the factors zero

Since we require the root to be non-negative, we must have ...

x +3 ≥ 0

x ≥ -3

The only solution that satisfies this requirement is x = -1. The solution x = -4 is extraneous. The solution is x = -1.

3 0

3 years ago

X- 6= -10 what does x=

melamori03 [73]

Answer:-5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

you start out driving from your house to an old friends house in a different town, which is 280 miles away. after an hour and a

Semmy [17]

You would take 280-105=175 miles away and take 105 and divide that by your time 1.5 too get 70 mph

5 0

3 years ago

PLEASE HELP!!! Which rule explains why these scalene triangles are similar

olchik [2.2K]

Answer: Ratio of Parts

Step-by-step explanation:

$\text{Ratio of sides:}\ \dfrac{ST}{WS+ST}=\dfrac{66}{6+66}=\dfrac{66}{72}=\dfrac{11}{12}\\\\\\\text{Ratio of bases:}\ \dfrac{TU}{TU+UV}=\dfrac{44}{44+4}=\dfrac{44}{48}=\dfrac{11}{12}\\\\$

The ratios are equal so the triangles are similar.

7 0

3 years ago