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3 years ago

Write 7^3 × √ 7 as a single power of 7

Mathematics

1 answer:

olga_2 [115]3 years ago

8 0

Step-by-step explanation:

7^3 × 7^(1÷2)

= 7^(3+ 0.5)

=7^3.5 ans

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Determine whether each scale factor produces an expansion or a contraction under a dilation of the original image

blondinia [14]

Answer:

see the explanation

Step-by-step explanation:

we know that

If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image

If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image

<u><em>Verify each value</em></u>

1) -4

$\left|-4\right|=4$

$4> 1$

therefore

The dilation produces an expansion of the original image

2) 0.25

$\left|0.25\right|=0.25$

$0.25 < 1$

therefore

The dilation produces a contraction of the original image

3) -2/3

$\left|-2/3\right|=2/3$

$2/3 < 1$

therefore

The dilation produces a contraction of the original image

4) 2.3

$\left|2.3\right|=2.3$

$2.3 > 1$

therefore

The dilation produces an expansion of the original image

4 0

3 years ago

Patric wants to buy some orange juice . She can get a quart for $1.49 , half gallon for $2.49,or a gallon for $4.89. Which is th

Setler [38]

Answer:

I think the half gallon cause u get more milk than a quart for just one dollar.

3 0

3 years ago

Read 2 more answers

Which graph best represents the feasibility region for the system shown above? ( pics are in this)

zalisa [80]

Consider the system of inequalities

$\left\{ \begin{array}{l} y\ge 2 \\ x\le 6 \\ y\le 3x+2 \\ y\le -x+10. \end{array}\right.$

1. Plot all lines that are determined by equalities (see attached diagram)

$\left\{ \begin{array}{l} y=2 \text{ (red line)} \\ x= 6 \text{ (blue line)}\\ y=3x+2 \text{ (green line)} \\ y= -x+10 \text{ (orange line)}. \end{array}\right.$

2. Determine which bounded part of the plane you should select:

$y\ge 2$ means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
$x\le 6$ means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
for $y\le 3x+2$ you can check where the origin is placed. Since $0\le 3\cdot 0+2$ , the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
for $y\le -x+10$ you can check where the origin is placed. Since $0\le -1\cdot 0+10$ , the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.