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2 years ago

Round 2.12747677748 to the nearest ten-thousandth.

Mathematics

1 answer:

Gwar [14]2 years ago

8 0

Answer:

2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.

Step-by-step explanation:

Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.

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What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is 1,562,500

4 0

2 years ago

Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning. Step Work

Llana [10]

Answer:

it is the last one ( HE SIMPLYFIED INCORECCT)

Step-by-step explanation:

i took the test

3 0

2 years ago

Ben plans some turf to cover his triangular lawn which is 4.8 yards high. Its area measures 40.2 square yards. How much does the

Pachacha [2.7K]

16.75 square yards because area of a triangle is half the base times the height. 40.2÷4.8 is 8.375. Since that is half the base, multiply by two. 8.375×2 is 16.75. Hope that helps! :D

3 0

2 years ago

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers

ss7ja [257]

Givens

The numbers are n and n + 1

Average = Av = 105

Equation

Av = (n)(n + 1)/2

Solution

Av = 105

n(n +1)/2 = 105 Multiply both sides by 2

n(n + 1) = 105 * 2

n(n + 1) = 210 Remove the brackets.

n^2 + n = 210 Subtract 210 from both sides

n^2 + n - 210 = 0

factor

(n+15)(n - 14)

n + 15 = 0

n = - 15

n = - 15 which is the smallest of the two answers.

n + 1 = - 14

8 0

2 years ago

Solve. x+3.5=413 x=45 x=56 x=476 I don't know.

umka2103 [35]

Answer:

x = 409.5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers