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3 years ago

Perform the following calculations without rewriting the numbers in decimal form.

Mathematics

1 answer:

Bingel [31]3 years ago

6 0

Answer:

After multiplication number will be $3.408\times \times 10^{28}$

Step-by-step explanation:

We have given numbers which has to multiply using scientific notation

That are $1.42\times 10^{15}\times 2.4\times 10^{13}$

We have to multiply the above number using scientific notation

We know that when two number are multiplied then there exponent power is being added

So when we multiply $1.42\times 10^{15}\times 2.4\times 10^{13}$ there power will be added and after multiplication number will be $3.408\times \times 10^{28}$

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An ice cream cone has a diameter of 12.8 cm and a slant height of 9 cm. Find the lateral surface area of the cone. Use 3.14 for

Makovka662 [10]

Answer:

about 181 or 180.96

Step-by-step explanation:

π·6.4·6.332+6.42≈180.9555

7 0

2 years ago

Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere a

den301095 [7]

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

b) How many strips should be used?

c) How many of each color?

Proof -

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = $\frac{300}{15}$ = 20 strips

Strips used by 20 cm green = $\frac{300}{20}$ = 15 strips

Strips used by 25 cm red = $\frac{300}{25}$ = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

6 0

3 years ago

The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4 years, there were 560 bats. I

Veseljchak [2.6K]

Answer:

23040 bats

Step-by-step explanation:

Let N(t) be the number of bats at time

We know that exponential function

$y = ab$

According to question

$N(t) = ab^{2}$

Where t (in years)

Substitute t=2 and N(2)=180

$180 = ab^{2}$

Substitute t=5 and N(5)=1440

$1440 = ab^{5}$

Equation (1) divided by equation (2)

$\frac{180}{1440} = \frac{ab^{2} }{ab^{5}} = \frac{1}{b\frac{5-2}{}}$

By using the property

Substitute the values of b in equation (1)

Substitute t=9

Hence, after 9 years the expected bats in the colony=23040 bats

3 0

2 years ago

Is the question is x(x2-2) then what would be the answer

Nitella [24]

<span>x(2x-2)
distribute the x to get our answer of
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5 0

3 years ago

How to divide 20 by radical 3

Alex Ar [27]

Answer:

"How do you divide a whole number by a radical?

Method 1 Dividing Radicands

Set up a fraction. If your expression is not already set up like a fraction, rewrite it this way. ...

Use one radical sign. If your problem has a square root in the numerator and denominator, you can place both radicands under one radical sign. ...

Divide the radicands. ...

Simplify, if necessary.

4 Simple and Easy Ways to Divide Square Roots - wikiHow

https://m.wikihow.com/Divide-Square-Roots "

Step-by-step explanation:

5 0

4 years ago