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3 years ago

26:12

Mathematics

1 answer:

wlad13 [49]3 years ago

6 0

Step-by-step explanation:

Function of the cylinder is to measure liquid volumes accurately. They are extensively used in chemistry and biology labs, where quantities of accurately measured liquids need to be used. They are purposely designed to be long, with a shorter diameter compared to beakers, to facilitate accurate measurements.

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Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?

mrs_skeptik [129]

8, 16, 32, 64,…
×2 ×2 ×2

$a_{n} = a_{1} * r^{n - 1}$
$a_{n} = 8 * 2^{13 - 1}$
$a_{n} = 8 * 2^{12}$
$a_{n} = 8 * 4096$
$a_{n} = 32768$

   First Term: 8
      Second Term: 16
      Third Term: 32
      Fourth Term: 64
       Fifth Term: 128
      Sixth Term: 256
   Seventh Term: 512
   Eighth Term: 1024
   Ninth Term: 2048
      Tenth Term: 4096
   Eleventh Term: 8192
   Twelfth Term: 16384
Thirteenth Term: 32768

$The\ expression\ that\ would\ give\ the\ thirteenth\ term\ of\ the\ problem\ would\ be\ the\ equation\ of\ the\ geometric\ sequence,\ which\ is\ equal\ to\ a_{n} = a_{1} * r^{n - 1}.$

5 0

3 years ago

Read 2 more answers

Write an inequality, in slope-intercept form, for the graph below. If necessary,

d1i1m1o1n [39]

Answer:not 100 % sure but I can write a slope intercept form equation, but not an inequality. I would need a picture of the graph to write an inequality.

First find slope: (y2 - y1)/(x2 - x1) Slope is 3

Choose a point then use point slope form y - y1 = m(x - x1) It is y - 1 = 3(x - 1)

Now simplify:

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2

Step-by-step explanation:

8 0

3 years ago

ANSWER FOR POINTS just doing this for people who dont know alot

ivanzaharov [21]

Answer:

Thanks for the points! <3

6 0

2 years ago

Find 2 consecutive positive even integers such that the product of the 1st and 2nd is 2 less than 5 times the 3rd. Use an algebr

Aloiza [94]

Assume the smaller one is x, then the other ones will be x+2 and x+4

x(x+2) + 2 = 5(x+4)

x^2 + 2x - 5x - 18 = 0

-> x^2 - 3x - 18 = 0

-> (x-6)(x+3) = 0

-> x = 6 or -3, since x must be positive, then x = 6

So the numbers are: 6, 8, 10

6 0

3 years ago

What is the simple interest of a note that has a face value of $12,000, a rate of 8%, and a term of 1 year?

Tju [1.3M]

Solution:

Given:

$\begin{gathered} P=\text{ \$}12,000 \\ R=8\text{ \%} \\ T=1year \end{gathered}$

Using the simple interest formula,

$\begin{gathered} I=\frac{PTR}{100} \\ I=\frac{12000\times1\times8}{100} \\ I=\text{ \$}960 \end{gathered}$

Therefore, the simple interest is $960.

8 0

1 year ago