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2 years ago

Calculate (3.012 x 10−8) + (4 x 10−8).

Mathematics

1 answer:

Nonamiya [84]2 years ago

7 0

The sum is 7. 012 × 10^-8. Option C

<h3>What is index form?</h3>

Index form is defined as the power or exponent which is raised to a number or a variable.

For example, in number 5^2, 2 is the index of 5.

Indices is the plural form of index.

To add index forms, we need to note the following:

Both the exponents and variables should be same
Add the coefficients of the variables leaving the exponents unchanged.
Only terms that have same variables and powers are added

Given:

(3.012 x 10−8) + (4 x 10−8)

3. 012 + 4 (10^-8)

7. 012 × 10^-8

Thus, the sum is 7. 012 × 10^-8. Option C

Learn more about index forms here:

brainly.com/question/15361818

#SPJ1

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Complete each division sentence using the models provided

serg [7]

Answer:

honestly for division of fractions the only sentence you need to know is...

"mine is not to question why, but to invert and multiply"...

fractional division can be done with "an inverse multiplication:

5/6 ÷ 1/6 can be changed to 5/6 * 6/1 = 30/6 = 5

3/5 ÷1/10 can be changed to 3/5 * 10/1 = 30/5 = 6

Step-by-step explanation:

6 0

3 years ago

PLEASE HELP ASAP DUE TONIGHT NEED YOUR HELP WILL MARK THE BRAINLEST

Alchen [17]

1a.

$0.42 = \frac{0.42}{1} = \frac{42}{100} = \frac{21}{50}$

1b. Manipulate the numbers using algebra.

$100x = 42.2222. \\ 10x = 4.2222...$

Then, subtract and solve for x.

$90x = 38 \\ x = \frac{38}{90} \\ x = \frac{19}{45}$

1c. Same thing, manipulate the numbers.

$100x = 42.4242... \\ x = 0.4242...$

Again, subtract and solve for x.

$99x = 42 \\ x = \frac{42}{99} \\ x = \frac{14}{33}$

2a. Jacob is pulling the 3 out of the root operation without getting the root of it.

$\sqrt{75} = \sqrt{3} \times \sqrt{25 } = 5 \sqrt{3}$

2b. Without using a calculator, the only way that is feasible is by trial and error, using perfect squares. For example: you know

$\sqrt{3}$

is somewhere between 1 and 2, as these are the closest perfect square roots to it. Try a value, say 1.5.

${1.5}^{2} = 2.25$

Not bad, seems a bit low. Lets try 1.6.

${1.6}^{2} = 2.56$

Seems like we can go bigger. 1.7 this time.

${1.7}^{2} = 2.89$

Alright, we are getting close to 3. 1.8.

${1.8}^{2} = 3.24$

Oops, too big. But no problem, because we now know that the value we are looking for is between 1.7 and 1.8, meaning the first decimal place must be 7. Let's keep going.

${1.75}^{2} = 3.0625 \\ {1.74}^{2} = 3.0276 \\ {1.73}^{2} = 2.9929$

Alright, the value is between 1.73 and 1.74.

${1.735}^{2} = 3.01... \\ {1.734}^{2} = 3.006... \\ {1.733}^{2} = 3.003... \\ {1.732}^{2} = 2.999...$

Bingo, your approximation is 1.732.

3. Convert each number to a tenth-rounded decimal.

$\pi = 3.1$

$\sqrt{3} = 1.7$

Find the square root of 5 first, as then you only have to double it for the remaining number.

${2.5}^{2} = 6.25 \\ {2.3}^{2} = 5.29 \\ {2.2}^{2} = 4.84 \\ {2.25}^{2} = 5.0625 \\ \sqrt{5} = 2.2$

The reason I take the 2.5 is to see whether to round up or down.

Then the last one is double the previous.

$2 \sqrt{5} = 4.4$

3b.

$\sqrt{3} < \sqrt{5} < \pi< 2 \sqrt{5}$

Hope this all helps.

6 0

4 years ago

Please help!!! Tony wants to build a fence around his rectangular garden that has

scZoUnD [109]

Answer:

22 posts

Step-by-step explanation:

on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22

6 0

3 years ago

(x+5)2−(x−2)=A<br> Need help!

valkas [14]

IF YOUR SOLVING FOR A THE ANSWER WOULD BE A=X+12

IF YOUR SOLVING FOR X IT WOULD BE X=-12+A

5 0

3 years ago

pashok25 [27]

Answer: a) D = √148

m = (-5,4)

b) D = √241

m = (1, 7.5)

c) D = √20

m = (0,-4)

Step-by-step explanation:

Distance and Midpoint Formulas

distance = D = √[(x₂-x₁)² + (y₂-y₁)²]

Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)

(−4, 10) and (−6, −2)

D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =

√[4 + 144] = √148

m = ((-6+(-4))/2 ; (-2+10)/2

m = (-10/2 ; 8/2)

m = (-5,4)

(−1, 15) and (3, 0)

D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =

√[16 + 225] = √241

m = ((3+(-1))/2 ; (0+15)/2

m = (2/2 ; 15/2)

m = (1,7.5)

(2, −3) and (−2, −5)

D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =

√[16 + 4] = √20

m = (-2+2))/2 ; (-5+(-3))/2

m = (0/2 ; -8/2)

m = (0,-4)

3 0

3 years ago