MATHEMATICS HIGH SCHOOL

What is 149,597,870 in scientific notation

Answers

Answer 1

Answer:

1.4959787 × 10^8

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.

Follow the steps below to see how 149,597,870 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 149,597,870

New Number: 1.49597870

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 4 9 5 9 7 8 7 0

Decimal Count: 1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10^b

a = 1.4959787 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

1.4959787 x 10^8

Step 4

Check your work:

10^8 = 100,000,000 x 1.4959787 = 149,597,870

Hope this helped.

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Z is the circumcenter. What is VZ?

Answers

Answer:

VZ is 24

Step-by-step explanation:

when we talk of the circumcenter, we mean a point in the triangle that has a uniform distance from each of the vertices of the triangle

What we mean by the circumcenter is that the length between this point and any of the vertices is the same distance

ZU is a distance between the circumcenter and the vertice

What we want to calculate top is same.

So therefore, the two are equal and we have the length of what we want to

calculate as 24

The sum of two numbers is 40, and their difference is 8. Find the numbers.

Answers

$x+y=40\n x-y=8\n -----\n 2x=48\n x=24\n\n 24+y=40\n y=16$

a - b = 8
+ a + b = 40
2a = 48
a = 24

a - b = 8
24 - b = 8
b = 16

Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x + k)(x − k)(3x + 2) k= ____________ Numerical Answers Expected! Answer for Blank 1:

Answers

First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0.

Once you have an x value which makes y=0, you can start factorizing it.
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0
to get 6x2+10x+4

This can be used to write the polynomial as (x-1)(6x2 +10x+4)
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2)
you can factorize this to become 2(3x+2)(x+1)

Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).

From this you can deduce that k= 1

Answer:k=1 i really hope this helps tehe

Multiply the numbers and simplify the answer: 3 x 1- 3/4

Answers

$\underbrace{3*1}_(first)-(3)/(4)=3-(3)/(4)=2(1)/(4)$

$3*1(3)/(4)=3*(1*4+3)/(4)=3*(4+3)/(4)=(3)/(1)*(7)/(4)=(3*7)/(4)=(21)/(4)=(20+1)/(4)=(20)/(4)+(1)/(4)\n\center\boxed{=5(1)/(4)}$

A store sells 2 printers for every 5 computers. the store sells 40 computers. how many printers does the store sell?

Answers

Answer: 16 printers.

Step-by-step explanation:

We know that every 5 computers sold, the store sells 2 printers.

We know that the store sold 40 computers.

How many groups of 5 computers there are in 40 computers?

there are 40/5 = 8 groups of 5 computers.

So the sotre sold 8 times 2 printers = 8*2 printers = 16 printers

The store sold 16 printers because 40/5=8, and if they sold 2 printers for every five computers sold, they would have sold 16.

A gym offers kickboxing classes 22 of the 30 days in October. What decimal is equivalent to the fraction of days in October that classes were offered at the gym?

Answers

0.290332258 i’m not sure what you want it rounded to.

explaination:
figure out how many days that is (9) then divide that by how many days in october (31)

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5x = -123solve for x.x = 24 3/5x = -24 3/5x = -118x = -128

Which equation can be used to find one multiple of 16?