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3 years ago

Estimate to determine if the answer is a realistic solution. 3.63 times 4.3 equals 15.566

Mathematics

1 answer:

nikitadnepr [17]3 years ago

8 0

Answer:

No it is not because I used a calculator

Step-by-step explanation:

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

4 years ago

A school assembly had 90 students in attendance, and 80% of them were first-graders. How many first-graders were at the assembly

Sav [38]

the answer is 72! Hope this helps! :)

5 0

3 years ago

Read 2 more answers

The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.

never [62]

Answer:

q = 26

Step-by-step explanation:

Given the point (3, q ) lies on the line then the coordinates satisfy the equation.

Substitute x = 3, y = q into the equation

q = 8(3) + 2 = 24 + 2 = 26

8 0

3 years ago

Read 2 more answers

Solve for x: -4(3x − 2) = 6x + 2

stepladder [879]

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

4 0

3 years ago

Read 2 more answers

Can someone help please?

Serggg [28]

Answer:

lower bound: 315 litres

upper bound: 324 litres

Step-by-step explanation:

The following rules apply:

if the last digit of the number is 1, 2, 3, or 4; it is rounded down

if the last digit of the number is 5, 6, 7, 8, or 9. ; it is rounded up

So:

314 is rounded to 310

315 is rounded to 320

324 is rounded to 320

325 is rounded to 330

3 0

3 years ago