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solmaris [256]
3 years ago
13

What is the next term of the following sequence? 20, 10, 5, 21/2, ...

Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

1 \frac{1}{4}

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

10 ÷ 20 = 5 ÷ 10 = 2 \frac{1}{2} ÷ 5 = \frac{1}{2}

Thus to obtain the next term in the sequence multiply the previous term by \frac{1}{2}

2 \frac{1}{2} × \frac{1}{2} = 1 \frac{1}{4}

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A car is driving northwest at vv mph across a sloping plain whose height, in feet above sea level, at a point nn miles north and
solong [7]
 <span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles. 

Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500 
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>
7 0
3 years ago
How many solutions does this linear system have?
ziro4ka [17]

Answer: C is correct, No solution

Step-by-step explanation:

Let’s simplify the second equation,

8x-4y=-20

We can divide the whole equation by 4...

8x/4-4y/4=-20/4

Which becomes....

2x-y=-5

Now let’s move things around to see if it’s the same equation as the one on top...

-y=-2x-5

y=2x+5

Now we need to solve the systems...

y=2x-5

y=2x+5

Since their slopes are both 2 and their y-intercepts are not identical, the answer is no solution. The two lines will continue on without ever crossing because they have the same slope.

4 0
3 years ago
Which statement best explains the value of 16 − (−3)?
amm1812

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

8 0
3 years ago
Which inequality describes the graph?
Mandarinka [93]

Answer:

1 describe the inequality graph

3 0
3 years ago
Which table of values represents a linear function?
STatiana [176]

Therefore the table values of which represents a linear function are table 2 and table 3

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.

Here,

The values shown in table 2 have same constant rate of change of 3 units.

where as,

The values shown in table 3 have same constant rate of change of 5 units.

Therefore the table values of which represents a linear function are table 2 and table 3

To know more about linear equation , visit

brainly.com/question/12974594

#SPJ1

5 0
1 year ago
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