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3 years ago

Find (8.4×108) ÷ (1.2×103). Express your answer in scientific notation.

Mathematics

2 answers:

kvv77 [185]3 years ago

8 0

Answer: 7.33980582 x 10^0

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal.

eduard3 years ago

6 0

Answer:

10mini3

Step-by-step explanation:

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2 years ago

Find the equation of a parabola that has a vertex of (-3,2) and contains the point (4,7)

MatroZZZ [7]

$\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{vertex}{(-3~~,~~2)}~~ \begin{cases} h = -3\\ k = 2 \end{cases}\implies y=a[x-(-3)]^2+2\implies y =a(x+3)^2+2 \\\\\\ \stackrel{\textit{passes through}}{(4~~,~~7)}~~ \begin{cases} x = 4\\ y = 7 \end{cases}\implies 7 = a(4+3)^2+2\implies 7 = 49a+2 \\\\\\ 5=49a\implies \cfrac{5}{49}=a~\hfill \boxed{y = \cfrac{5}{49}(x+3)^2+2}$

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2 years ago

Carly's age is 3 more than twice her sister's age, s. Which of the following expressions represents Carly's age?

vlada-n [284]

Answer:

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Step-by-step explanation:

If Carly's age be considered as x and Carly's sister age be considered as s then

The expression is as follows

x=3+2s

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2 years ago

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If I traveled 2269 miles for $328.00 in gas how many miles per gallon

ivanzaharov [21]

Answer:

Step-by-step explanation:

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3 years ago

Write the quadratic equation in general quadratic form below.<br><br> 17x2 = 12x

Vadim26 [7]

Answer: $\bold{\dfrac{12\pm \sqrt{144-0}}{2(17)}}$

<u>Step-by-step explanation:</u>

$17x^2=12x\quad \rightarrow \quad 17x^2-12x+0=0\quad \rightarrow \quad a=17,\ b=-12,\ c=0\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(17)(0)}}{2(17)}\\\\\\.\ =\dfrac{12\pm \sqrt{144-0}}{2(17)}$

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3 years ago

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