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3 years ago

2 and the square root of 81 + the square root of 64

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

Answer:

74.5

Step-by-step explanation:

i did it on my calculator and it says it is 74.5.

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What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

$\frac{\frac{-1}{4}}{\frac{1}{2}}$

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

8 0

3 years ago

Hong needs to memorize words on a vocabulary list for Russian class. He has 14 words to memorize, and he is one-half done. How m

GREYUIT [131]

Step-by-step explanation:

He has done one half = ½

Finding ½ of 14

½ × 14

Hence, Hong has memorized 7 words

5 0

3 years ago

Find the volume of the cylinder

dedylja [7]

Answer:

157

Step-by-step explanation:

7 0

3 years ago

Find the value of x. 16 40° D (Round to the nearest tenth as needed.)

dsp73

Answer:

Step-by-step explanation:

3 0

3 years ago

12. Linda walks through a road. If her walking speed increases from 1 m/s to 1.5 m/s, she will complete the walk 200 s earlier.

Katen [24]

Answer:

600 meters

Step-by-step explanation:

Case 1 : Speed of 1 m/s

d = v * t
d = 1 * t
d = t [Equation 1]

Case 2 : Speed of 1.5 m/s

d = v * t
d = 1.5 * (t - 200)
d = 1.5t - 300 [Equation 2]

As distance in both cases is the same, equate the values of d from both equations.

t = 1.5t - 300
0.5t = 300
t = 300 * 2
t = 600 s

Now, put the value of t in Equation 1 to find d.

d = 600 meters

7 0

2 years ago