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2 years ago

2. Simplify (27) 2/3 x (125) 1/3

Mathematics

2 answers:

baherus [9]2 years ago

8 0

Hopes this helps:

Answer: 750

ExtremeBDS [4]2 years ago

5 0

27*2/3*125/3
54/3*125/3
18*125/3
2250/3
750

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Over which interval is the graph of the parent absolute value function f(x) = |xl decreasing?

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Answer:

(-∞,0)

Step-by-step explanation:

Graph y=|x|

Note that the graph is shaped like a V. The left half of the graph is decreasing from -∞ up until 0 when it hits the origin and starts to increase. Put this into interval notation: (-∞,0).

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3 years ago

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Find side length of a square that has an area of 169 Square inches

ivolga24 [154]

13 inches is the length of 1 side. You find this by doing to square root of 169.

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3 years ago

Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

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1 year ago

Help me plot please.

Veronika [31]

One at 100,18 one at 200,14 one at 150,15 one at 125,20 and one at 225,12

4 0

3 years ago

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A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the reaction time of the tailgater is 0

Sveta_85 [38]

Answer:

44 ft

Step-by-step explanation:

We are given that;

Speed; v = 60 mph

Reaction time;t = 0.5 s

Now, we know that;

Distance = speed x time

Since time is in seconds, let's convert speed to mph to ft/s

From conversion,

1 mph = 1.46667 ft/s

So, 60 mph would give;

60 × 1.46667 ≈ 88 ft/s

Thus, distance his car travels during his reaction time is;

Distance = 88 × 0.5 = 44 ft

6 0

3 years ago

2. Simplify (27) 2/3 x (125) 1/3​

2. Simplify (27) 2/3 x (125) 1/3