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3 years ago

Estimate by rounding 642÷83

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

5 0

round each number to the nearest 10, then

640 ÷ 80 = 8 ← estimate

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The fourth term of a sequence is 108. Each term after the first is 3 times the previous term. Write an explicit expression that

marishachu [46]

Answer:

$f(n)=4(3)^{n-1}$

Step-by-step explanation:

Let the first term be $x$ , then the terms of the sequence are:

$x,3x,9x,27x,81x,...$ .

Since the fourth term is 108, we have

$27x=108$

$\implies x=4$

Hence the sequence becomes:

$4,12,36,108,324,...$ .

The explicit expression for a geometric expression is given by:

$f(n)=ar^{n-1}$

where a=4 and r=3

The required formula is:

$f(n)=4(3)^{n-1}$

8 0

2 years ago

Rewrite 18/14 in simplest form

maks197457 [2]

You would divide them both my two to get 9/7

6 0

2 years ago

Read 2 more answers

Find the distance between the given points (2,8) and (7,7)

Ray Of Light [21]

Answer:

$d=\sqrt{26}\approx5.0990$

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

$d=\sqrt{(7-2)^2+(7-8)^2}$

Simplify:

$d=\sqrt{5^2+(-1)^2}$

Square:

$d=\sqrt{25+1}$

Add:

$d=\sqrt{26}\approx5.0990$

And that's our answer :)

6 0

3 years ago

Which list is in order from least to greatest?

NeX [460]

Answer:

The first option.

Explanation:

Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.

4 0

2 years ago

Examine these points on line u and line v. Line u: (9, –8), (5, 4) Line v: (4, 2), (7, –7) How many points of intersection are t

musickatia [10]

Answer:

The line u and line v have no point of intersection because they are parallel lines

Step-by-step explanation:

The slope of a straight line is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The slope of line u is (4 - (-8))/(5 - 9) = -3

The equation for line u is y - 4 = -3*(x - 5)

y = -3·x + 15 + 4 = 19 - 3·x

The slope for line v is (-7 - 2)/(7 - 4) = -3

The equation for the line v is y - 2 = -3*(x - 4)

∴ y = -3x + 12 + 2 = -3x + 14

y = 14 - 3·x

Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect

6 0

3 years ago