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strojnjashka [21]
3 years ago
14

List one the ways to name this line

Mathematics
1 answer:
arsen [322]3 years ago
6 0
Lmn, nml, i cant do any less or it wont submit

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Find the missing side length to the nearest tenth of a millimeter.
wel

Answer:

17.9

Step-by-step explanation:

3.7²+17.5²=319.94

\sqrt{319.94\\= 17.9

8 0
3 years ago
Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...
Dmitry [639]

Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

n_{th} = a+ (n-1)d

n_{th}= 35+(n-1)(1)

n_{th} = 34+n

To find the 100th term, substitute n = 100

n_{100} = 34 +100

n_{100} =134

Correct option is B

5 0
3 years ago
(x^2y^3) = (xy^a)^b
Rainbow [258]

Answer:

C. \frac{3}{2}

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

( {x}^{2}  {y}^{3} )^{3}  = ( {x}  {y}^{a} )^{b}

Recall and apply the following rule of exponents.

( {x}^{m}  )^{n}  = {x}^{mn}

We apply this rule on both sides to get:

{x}^{2 \times 3}  {y}^{3 \times 3} =   {x}^{b}  {y}^{ab}

Simplify the exponents on the left.

{x}^{6}  {y}^{9} =   {x}^{b}  {y}^{ab}

Comparing exponents of the same variables on both sides,

b = 6 \: and \:\: ab = 9

\implies \: 6b = 9

Divide both sides by 6.

b =  \frac{9}{6}

b =  \frac{3}{2}

4 0
3 years ago
22. Use your model to determine when the volume of oil will get down to 500 gallons.
Helen [10]

Answer:

  21.  y = 75000·0.935^t

  22.  after 74.6 days

  23.  y = 27.8112·1.18832^t

  24.  18.8% per month

  25.  1748

Step-by-step explanation:

22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)

__

23. y = 27.8112·1.18832^t (see the second attachment)

__

24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.

  (1.18832 -1) × 100% ≈ 18.8% . . . . per month

__

25. Evaluating the function for t=24 gives y ≈ 1748.30425259 ≈ 1748.

_____

<em>Comment on graphing calculator</em>

A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.

8 0
3 years ago
Find the positive value of x if: 5^(x^2 - 2x) = 1
Dennis_Churaev [7]
5^(x² - 2x) = 1
5^(x²) - 5^(2x) = 1
5^x² - 5²x = 1


5 0
3 years ago
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