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Stella [2.4K]
3 years ago
10

16 of 3

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

107 m

Step-by-step explanation:

Step 1:

Here the microscope magnifies by 10 times.

The initial length is 10.7 m

Step 2:

Let the object be magnified by 10 times . Then, 10 × 10.7 = 107

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HELP with these questions
zlopas [31]

<u>Step-by-step explanation:</u>

transform the parent graph of f(x) = ln x        into f(x) = - ln (x - 4)  by shifting the parent graph 4 units to the right and reflecting over the x-axis

(???, 0): 0 = - ln (x - 4)

            \frac{0}{-1} = \frac{-ln (x - 4)}{-1}

            0 = ln (x - 4)

            e^{0} = e^{ln (x - 4)}

             1 = x - 4

          <u> +4 </u>  <u>    +4 </u>

             5 = x

(5, 0)

(???, 1): 1 = - ln (x - 4)

            \frac{0}{-1} = \frac{-ln (x - 4)}{-1}

            1 = ln (x - 4)

            e^{1} = e^{ln (x - 4)}

             e = x - 4

          <u> +4 </u>   <u>    +4 </u>

         e + 4 = x

          6.72 = x

(6.72, 1)

Domain: x - 4 > 0

                <u>  +4 </u>  <u>+4  </u>

               x       > 4

(4, ∞)

Vertical asymptotes: there are no vertical asymptotes for the parent function and the transformation did not alter that

No vertical asymptotes

*************************************************************************

transform the parent graph of f(x) = 3ˣ        into f(x) = - 3ˣ⁺⁵  by shifting the parent graph 5 units to the left and reflecting over the x-axis

Domain: there is no restriction on x so domain is all real number

(-∞, ∞)

Range: there is a horizontal asymptote for the parent graph of y = 0 with range of y > 0.  the transformation is a reflection over the x-axis so the horizontal asymptote is the same (y = 0) but the range changed to y < 0.

(-∞, 0)

Y-intercept is when x = 0:

f(x) = - 3ˣ⁺⁵

      = - 3⁰⁺⁵

      = - 3⁵

      = -243

Horizontal Asymptote: y = 0  <em>(explanation above)</em>

5 0
3 years ago
Please Help!!!!!!! Meryl spends a total of $68.82 for 2 pairs of sneakers
timama [110]
2x+3-5.32=68.82

2x= 71.14

x=35.57

each sneaker costs $35.57
3 0
3 years ago
Read 2 more answers
Solve |2x - 2| &lt; 8
Alex777 [14]

Answer:

C

Step-by-step explanation:

|2x - 2| < 8

it implies that

2x - 2 < 8

2x -2 + 2 < 8 + 2

2x < 10

x < 5

or

-(2x - 2) < 8

-2x + 2 < 8

-2x + 2 - 2 < 8 - 2

- 2x < 6

x > -3 ( the sense of the inequality reverse because I divided by minus)

The solution can be combine to

-3<x<5

4 0
3 years ago
Jeremy played two basketball games. He scored 6 fewer points in the second game than he scored in the first. He scored 24 points
tigry1 [53]

Answer:

24 + 6

Step-by-step explanation:

4 0
3 years ago
Which postulate can be used to prove that two triangles are congruent
user100 [1]
Side-Side-Side Theorem, Side-Angle-Side, Angle-Angle-Side, Angle-Side-Angle, and Hypotenuse-Leg for right triangles. 

For example, for Side-Side-Side, if you prove all 3 sides of the triangle are congruent, then the triangle is congruent. 
3 0
3 years ago
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