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NemiM [27]
3 years ago
5

an alligator can run at a speed of 13 feet per second on land at this rate how far can it run in 3 seconds

Mathematics
2 answers:
Mrac [35]3 years ago
7 0
13*3=39
the alligator can run 39ft per second
WARRIOR [948]3 years ago
3 0
39 feet because if you multiply 13 and 3 its 39
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Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. y = 2.5 when x = 9
Ahat [919]
1. k = 2<span>2.5</span><span>
2. xy=k
  

thats what i got</span>
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3 years ago
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One canned juice drink is 15% orange juice another is 10% orange juice how many liters of each should be mixed together in order
vfiekz [6]
\bf \begin{array}{lccclll}&#10;&quantity(L)&concentration&&#10;\begin{array}{llll}&#10;concentrated\\&#10;quantity&#10;\end{array}\\&#10;&-----&-------&-------\\&#10;\textit{15\% juice}&x&0.15&0.15x\\&#10;\textit{10\% juice}&y&0.10&0.10y\\&#10;-----&-----&-----&-----\\&#10;mixture&5&0.14&(5)(0.14)&#10;\end{array}

whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5

and whatever the concentrated quantity is in each, they must add up to (5)(0.14)

notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something

thus    \bf \begin{cases}&#10;x+y=5\implies \boxed{y}=5-x\\\\&#10;0.15x+0.10y=(5)(0.14)\\&#10;----------\\&#10;0.15x+0.10\left(\boxed{5-x}  \right)=(5)(0.14)&#10;\end{cases}

solve for "x", to see how much of the 15% juice will be needed

what about "y"?  well, y = 5 - x

7 0
3 years ago
(x^2y^-2)^3/yx^-4 please help
TiliK225 [7]
Hey is there a way you could send a photo of the equation
3 0
2 years ago
4
taurus [48]

Answer:

x^2 - 2x + 10, option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

i^2 = -1

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

The solutions are:

x_1 = 1 - 3i, x_2 = 1 + 3i

We have to find the polynomial. All option have a = 1. So

(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10

The correct answer is given by option b.

6 0
3 years ago
How do you write (243)^ 3/5 in radical form? THEN simplified?! *PLEASE HELP
SOVA2 [1]

Answer:

27

Step-by-step explanation:

If you have an exponent that is a fraction, you need to make a radical with the index from the denominator and an exponent of the radicand from the numerator.

(243)^3/5=(\sqrt[5]{243}^3)

This would come out as \sqrt[5]{14348907^}. this further simplifies down to the final answer of 27

6 0
3 years ago
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