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2 years ago

Standard form of 10-⁹

Mathematics

1 answer:

zavuch27 [327]2 years ago

5 0

Answer: 1/1000000000

Step-by-step explanation:

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Which operations are defined for any two real

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P.E.M.D.A.S. I think.

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3 years ago

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PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

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1 year ago

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Dmitry_Shevchenko [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Given the volume is 105 inches³ for an 8 pound bowling ball, find the radius of the bowling ball,

mariarad [96]

Answer:

2.92

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3 \\ \\ 105=\frac{4}{3}\pi r^3 \\ \\ r^3=\frac{105}{\frac{4}{3}\pi} \\ \\ r=\sqrt[3]{\frac{105}{\frac{4}{3}\pi}} \\ \\ r \approx 2.92$

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1 year ago

Determine if the sequence below is arithmetic or geometric and determine the

algol13

9514 1404 393

Answer:

r = 2

Step-by-step explanation:

The first differences between successive terms are ...

10 -5 = 5

20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

The ratios of successive terms are ...

10/5 = 2

20/10 = 2

The ratios are constant, so the sequence is ...

geometric with a common ratio of 2.

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2 years ago