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maria [59]
3 years ago
15

What is 403,000,000,000,000 in scientific

Mathematics
2 answers:
Vinil7 [7]3 years ago
7 0

Answer:

A

Step-by-step explanation:

4.03 × 10¹⁴

14 digits after 4. So power is 14

frozen [14]3 years ago
6 0

Answer:

(A) 4.03 x 10^14

Step-by-step explanation:

403,000,000,000,000

Scientific notation is of the form

a * 10 ^b

where a is a number from 1 to a number less than 10

Put the decimal in the number

403,000,000,000,000.

We need to move the decimal 14 places to the left to get the number to be between 1 and 10

4.03000000000000  so the b is 14

Since we moved it to the left b is positive

We can drop the extra zeros at the end (after the last nonzero digit)

4.03 *10^14

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Step-by-step explanation:


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4 years ago
Determine the type and number of solutions of 4x^2-5x+1=0.
Arlecino [84]
<span>4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
<span>
x = - b </span>± √Δ / 2.a
x =  \frac{-5\± \sqrt{9} }{2*4}
x =  \frac{-5\±3}{8}
x' =  \frac{-5-3}{8} =  \frac{-8}{8} = -1
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A. Two real solutions (x' = -1 and x'' = -1/4)
4 0
3 years ago
For the function f(x) = 2x +3, evaluate f(3).
AveGali [126]

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Read 2 more answers
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Oliga [24]

Answer:

\displaystyle 1)48.2    \:  \: \text{sec}

\rm \displaystyle  2)3021.6 \: m

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

\displaystyle  - 4.9 {t}^{2}  + 229t + 346 = 0

to solve the equation can consider the quadratic formula given by

\displaystyle x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4 ac} }{2a}

so let our a,b and c be -4.9,229 and 346 Thus substitute:

\rm\displaystyle t =  \frac{ - (229) \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

remove parentheses:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

simplify square:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}

simplify multiplication:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 6781.6} }{ - 9.8}

simplify Substraction:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 45659.4} }{ - 9.8}

by simplifying we acquire:

\displaystyle t = 48.2  \:  \:  \: \text{and} \quad  - 1.5

since time can't be negative

\displaystyle t = 48.2

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

\displaystyle x _{  \text{max}} =  \frac{ - b}{2a}

let a and b be -4.9 and 229 respectively thus substitute:

\displaystyle t _{  \text{max}} =  \frac{ - 229}{2( - 4.9)}

simplify which yields:

\displaystyle t _{  \text{max}} =  23.4

now plug in the maximum t to the function:

\rm \displaystyle  h(23.4)- 4.9 {(23.4)}^{2}  + 229(23.4)+ 346

simplify:

\rm \displaystyle  h(23.4)  =  3021.6

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

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If 9x = 63, then x = ___. (Only input whole number) Numerical Answers Expected! Answer for Blank 1:
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If 9x = 63, then x = 7
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