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3 years ago

Which of the following represents the most accurate estimation of 5 + 4?

Mathematics

1 answer:

neonofarm [45]3 years ago

7 0

The answer is B.10 because 9 can be rounded up

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5. Find the first, fourth, and tenth terms of the arithmetic

Lubov Fominskaja [6]

The first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

Explanation:

The given rule for the arithmetic sequence is $A(n)=-6+(n-1)(\frac{1}{5} )$

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute $n=1,4,10$ in the general rule for the arithmetic sequence.

To find the first term, substitute $n=1$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(1)=-6+(1-1)(\frac{1}{5} )$

$A(1)=-6+(0)(\frac{1}{5} )$

$A(1)=-6$

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute $n=4$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(2)=-6+(4-1)(\frac{1}{5} )$

$A(2)=-6+(3)(\frac{1}{5} )$

$A(2)=\frac{-30+3}{5}$

$A(2)=\frac{-27}{5}$

Thus, the fourth term of the arithmetic sequence is $-\frac{27}{5}$

To find the tenth term, substitute $n=10$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(10)=-6+(10-1)(\frac{1}{5} )$

$A(10)=-6+(9)(\frac{1}{5} )$

$A(10)=-6+\frac{9}{5}$

$A(10)=-\frac{21}{5}$

Thus, the tenth term of the arithmetic sequence is $-\frac{21}{5}$

Hence, the first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

3 0

4 years ago

Is 8.602 × 107 greater than, less than, or equal to 8.14 × 1012 ?

Bess [88]

Step-by-step explanation:

$8.062 \times 107 = 862.634 \\ 8.14 \times 1012 = 8237.68 \\ 8.062 \times 107 < 8.14 \times 1012$

I hope this helps you

5 0

3 years ago

If it takes the Jones family 2 days to travel 1,240 miles, how many days will it take them to travel 1550 miles?

NikAS [45]

4 Days I found this out by this

8 0

3 years ago

This is an urgent message, help me and get 30 points and brainiest answer!

GaryK [48]

The initial value is where the line intersects the y-axis. So, this does it at y = 2. The graph has a slope (rate of change) of 1, because for every x-value, the y-value goes up by exactly 1. So, the answer is C.

4 0

3 years ago

Read 2 more answers

Show work. Find the mean and standard deviation of the data. Round to the nearest tenth. 20,16,18,14,9,20,16

postnew [5]

20+16+18+14+9+20+16=113
113÷7=16.14285714
after rounded the answer would be 16.
hope that's correct.

6 0

3 years ago