The volume of 1000 drops of a liquid is 0.1 fluid ounce what is the volume of 10000 drops

a term in an arithmetic sequence is 488. the first term of the sequence is 7 and the common difference is 13. find the term numb

lisabon 2012 [21]

Answer: the term number is 38

Step-by-step explanation:

Let the number of the term be x

The value of the xth term = 488

In an arithmetic sequence, the terms differ by a common difference, d. This means that the difference between two consecutive terms, d is constant.

The formula for the nth term is

Tn = a + (n-1)d

Where

Tn = the nth term of the arithmetic sequence

a = the first term of the arithmetic sequence.

d = common difference.

From the information given,

a = 7

d = 13

We are looking for the xth term.

Tx = 488 = 7 + (x-1)13

488 = 7 + 13x - 13

Collecting like terms on the left hand side and right hand side of the equation,

13x = 488 -7 + 13

13x = 494

x = 38

The value of the 38th term is 488.

5 0

4 years ago

For the conversion of 0.0003140 kilograms to ounces, the conversion factors are 103 grams per kilogram, 1 pound per 453.6 grams

Ksenya-84 [330]

The correctly expressed answer is 1.108 × 10⁻² ounces.

<u><em>Explanation</em></u>

The conversion factors are 10³ grams per kilogram, 1 pound per 453.6 grams and 16 ounces per pound.

So, 0.0003140 kilograms = $(0.0003140*10^3)grams = 0.3140 grams$

Now, 1 pound = 453.6 grams

⇒ 1 gram = $(\frac{1}{453.6}) pound$

So, 0.3140 grams = $(0.3140* \frac{1}{453.6})pound$

Now,

$(0.3140*\frac{1}{453.6})pound\\ \\=(0.3140*\frac{1}{453.6}*16 )ounces\\ \\= 0.01108ounces\\ \\= 1.108*10^-^2 ounces$

So, 0.0003140 kilograms = 1.108 × 10⁻² ounces.

5 0

3 years ago

Read 2 more answers

Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same weight. What frac

Mekhanik [1.2K]

You only showed half of the question

8 0

4 years ago

Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3

Ksivusya [100]

Answer:

One solution: 0x + 0.5y = 0

Step-by-step explanation:

9x + 4y = 36

6x + 2.5y = 24

2 * Eq. 1

18x + 8y = 72

-3 * Eq. 2

-18x - 7.5y = -72

Add the multiples of the equations.

0x + 0.5y = 0

Answer: One solution: 0x + 0.5y = 0

4 0

3 years ago

Read 2 more answers

I WILL GIVE BRAINIEST!

Novay_Z [31]

Range is the value of y
f(x)=-x²+5
when x=-1, f(x)=-(-1)²+5=4
when x=2, f(x)=-(2)²+5=1
so 1<y≤4
the second piece: f(x)=2x-3
when x=2, f(x)=2(2)-3=1
when x=5, f(x)=2(5)-3=7
so 1≤y<7

union of the two parts of y: 1≤y<7
[1,7) is the answer.

3 0

3 years ago