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kobusy [5.1K]
3 years ago
8

" alt="[x^{2/5} ][x^{1/5} ]" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

[x^{2/5} ][x^{1/5} ] \\  \\  =  {x}^{ \frac{2}{5} +  \frac{1}{5}  }  \\  \\  =  {x}^{ \frac{2 + 1}{5} }  \\  \\ =  {x}^{ \frac{3}{5} }  \\

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According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 4 inches on the map?
Juli2301 [7.4K]

Answer:

60 miles

Step-by-step explanation:

So if 1 inch = 12 miles, you need to find 4 inches. There are multiple ways to achieve this. However ratios/proportions might be easiest.

if 1/12 = 4/x, x is the value of miles. Cross multiply so you get this:

1           4

-     =    -       =        60 = x

12          x

If x equals 60, that means that 4 inches equals 60 miles on the map.

You could also just find an equal fraction by multiplying the top and bottom both by 4.

6 0
3 years ago
Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.
Goshia [24]
\sqrt{(x_{0} - 0)^{2} + (y_{0} - (-4))^{2}} = |y_{0} - 4|
<span>\sqrt{(x_{0} - 0)^{2} + (y_{0} + 4)^{2}} = |y_{0} - 4|
</span>(x_{0} - 0)^{2} + (y_{0} + 4)^{2} = (y_{0} - 4)^{2}
(x_{0})^{2} + (y_{0} + 4)^{2} = (y_{0} - 4)^{2}
x_{0}^{2} + (y_{0}^{2} + 4y_{0} + 4y_{0} + 16) = y_{0}^{2} - 4y_{0} - 4y_{0} + 16
x_{0}^{2} + (y_{0}^{2} + 8y_{0} + 16) = y_{0}^{2} - 8y_{0} + 16
x_{0}^{2} + y_{0}^{2} + 8y_{0} + 16 = y_{0}^{2} - 8y_{0} + 16
x_{0}^{2} + 16y_{0} = 0
16y_{0} = -x_{0}^{2}
\frac{16y_{0}}{16} = \frac{-x_{0}^{2}}{16}
y_{0} = -\frac{1}{16}x_{0}^{2}
y = -\frac{1}{16}x^{2}

The answer is C.
5 0
3 years ago
Dakota earns the money shown in the table. After buying 4 chairs, she has $30 left. How much did Dakota pay for each chair
Fantom [35]
Answer: unknown (graph not shown)

Explanation: to work out the answer, you need to minus $30 from the amount of money Dakota earnt, and then divide that by 4 to find the amount of each chair.
3 0
4 years ago
Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600
Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                            25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                             x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                            

3.- Find a, b and c

   a² = 64             a = 8

   b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                  a² = b² + c²

-Solve for c

                  c² = a² - b²

-Substitution

                  c² = 8² - 5²

-Simplification

                 c² = 64 - 25

                 c² = 39

-Result

                 c = √13

4.- Find the center

         C = (0, 0)

5.- Find the vertices

         V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

         F1 = (-√13, 0)   F2 = (√13, 0)

4 0
3 years ago
Read 2 more answers
What is the value of Negative 3 m n + 4 m minus 3 when m = 2 and n = negative 4? -43 -40 5 29
Ghella [55]

Answer:

Step-by-step explanation:

-3m*n+4m-3 when m=2:n=-2

-3(2)*(-2)+4(2)-3=

12+5=17

8 0
3 years ago
Read 2 more answers
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