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3 years ago

7.The mass of a grain of sand is approximately 2.8×10^−11 grams

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

The Answer is A. Milligram.

Mazyrski [523]3 years ago

3 0

Answer :- A) Milligram is the right answer.

Explanation:-

The mass of a grain of sand is approximately $2..8\times10^{-11}\text{ grams}$

We know that 1 gram=1,000 milligrams

Therefore,The mass of a grain of sand is approximately $=2.8\times10^{-11}\times1000\text{ milligram}\\=2.8\times10^{-11}\times10^3\text {milligram}\\=2.8\times10^{-11+3}\text{ milligram}....\text{[by using law of exponents]}\\=2.8\times10^{-8}\text{ milligram}$

Thus, the mass of a grain of sand is approximately $2.8\times10^{-8}\text{ milligram}.$

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Multiply using FOIL or Table method (x + 4) (x + 5)

mylen [45]

Answer:

${x}^{2} + 9x + 20$

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

${x}^{2} + 5x + 4x + 20$

2) Collect like terms.

${x}^{2} + (5x + 4x) + 20$

3) Simplify.

${x}^{2} + 9x + 20$

Therefor, the answer is x² + 9x + 20.

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3 years ago

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

mixas84 [53]

We have that the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the arithmetic sequence is mathematically given as

$a_4=a_1+(n-1)d$

Therefore

For seventh term

$5=23+(6)d\\\\d=5-23/(6)\\\\d=-3$

Therefore

For Fourth term

$a_4=23+(3*(-3))$

a_4=14

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3 years ago

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Sliva [168]

15. 22=4*5+2
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2 years ago

A gallon can of paint holds 8 pints. The label says it will cover 400 square feet.

iren [92.7K]

I think it is B. 50 feet

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3 years ago

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nata0808 [166]

The largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

<h3>Scale drawing</h3>

Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension

<h3>Dimensions</h3>

The dimensions of the design for the farm scene painting is given as:

$12" \times 9"$

The dimensions of the wall is given as:

$24' \times 16'$

Convert feet to inches

$24' \times 16' = (24 \times 12") \times (16 \times 12")$

$24' \times 16' = (288") \times (192")$

Divide the dimensions of the wall by the painting to get the scale ratios (k)

$k = \frac{288}{12}$

$k = 24$

Also, we have:

$k =\frac{192}{9}$

$k =21.33$

Remove decimal (do not approximate)

$k =21$

By comparison;

21 is less than 24

Multiply 21 by the dimensions of the painting

So, we have:

$Length = 12 \times 21 = 252$

$Width = 9 \times 21 = 189$

Hence, the largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'