Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈ 1.578 × 10 -^5 miles.

Answers

Answer 1

Answer:

Answer:

7.763×10^7 inches

Step-by-step explanation:

$(1225\,mi)(1\,in)/(1.578\cdot 10^(-5)\,mi)=(12.25)/(1.578)\cdot 10^(2-(-5))\,in \approx 7.763\cdot 10^7\,in$

When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.

This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.

"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.

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Algebra Homework Question

{–½, 2}{–½, –2}
{½, 2}
{½, –2} Use the quadratic formula to solve 2y2 – 5y = –2.

Answers

$2y^2 - 5y =-2\n \n2y^2 - 5y +2=0\n \n a=2 , \ b=-5, \ c=2 \n \n\Delta =b^2-4ac = (-5)^2 -4\cdot2\cdot 2 = 25-16=9 \n \ny_(1)=(-b-√(\Delta) )/(2a)=(5-√(9))/(2\cdot 2 )=(5-3)/(4)=(2)/(4)= (1)/(2)$

$y_(2)=(-b+√(\Delta) )/(2a)=(5+√(9))/(2\cdot 2 )=(5+3)/(4)=(8)/(4)= 2\n \nAnswer : \ \left \{ (1)/(2),2 \right \}$

Answer:

1/2, 2

Step-by-step explanation:

i took the test

John started working part time at a local pet store and earned $24 a day. Two days laterJack started working part time at a local music store and earned $30 a day. After how

many days do they earn the same amount?

Answers

Answer:

They earn the same amount after 8 days.

Step-by-step explanation:

When both started working(the day Jack started, John had been working for 2 days earning $24 a day, so he already had 2*24 = $48). We started modeling from this day.

John:

He already had $48.

He would earn $24 per day.

So after n days, his amount would be:

$A_(Jo)(n) = 48 + 24n$

Jack:

He has nothing.

He would earn $30.

So after n days, his amount would be:

$A_(Ja)(n) = 30n$

After how many days do they earn the same amount?

After n days.

n is found when:

$A_(Jo)(n) = A_(Ja)(n)$

$48 + 24n = 30n$

$6n = 48$

$n = (48)/(6)$

$n = 8$

They earn the same amount after 8 days.

Multiply (4 + i)(1 − 5i). 9 − 19i
−1 − 19i
4 − 5i2
4 − 19i − 5i2

Answers

(4 + i)(1 - 5i)

First, expand to get rid of parentheses.
$4 - 20i + i + 5$
Second, gather the like terms which contain the same variables.
$(4+5) + (-20i + i)$
Third, add 4 + 5.
$9 + (-20i + i)$
Fourth, subtract -20i + i.
$9 - 19i$

Answer: 9 - 19i

Answer:

OTHER PERSON IS CORRECT ITS 9 - 19i

I would give an explanation but they said it!!

Xoxo

Help on a question geometry

Answers

2log 3 = log 3^2 = log 9 ;
log 5 + 2log 3 = log 5 + log 9 = log( 5 * 9 ) = log 45 ;
log ( x - 12 ) = log 45;
x - 12 = 45 ;
x = 12 + 45 ;
x = 57 ;
But, x - 12 > 0;
And, 57 - 12 > 0 ;
The solution is 57 .

$D:x-12>0\nD:x>12\n\log_3(x-12)=\log_35+2\log_33\n\log_3(x-12)=\log_35+\log_33^2\n\log_3(x-12)=\log_35+\log_39\n\log_3(x-12)=\log_3(9\cdot5)\n\log_3(x-12)=\log_345\nx-12=45\n\boxed{x=57}$

Two-thirds of a number is equal to negative one-fifth. What is the numberanswers: -7 1/2, -3/10, -2/15, -3 1/3

Answers

The required number would be -3/10.which is the correct answer would be option (B).

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

We have been given that two-thirds of a number is equal to a negative one-fifth.

Let the number would be x

According to the given question, the required solution would be as:

⇒ (2/3)x = -1/5

Divided by (2/3) both sides of the above equation,

⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)

⇒ x = (-1/5)/(2/3)

Reciprocal the term in the numerator,

⇒ x = (-1/5) × (3/2)

Apply the multiplication operation, and we get

⇒ x = -3/10

Therefore, the required number would be -3/10.