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Tju [1.3M]
3 years ago
10

The height of a street light is 25 feet. It casts a 20−foot shadow. At the same time, a man standing next to the street light ca

sts a 5−foot shadow. How tall is the man? If needed, round the answer to the nearest hundredth.
Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0
The man would be 6 fooot
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Find an exponential function with a horizontal asymptote y equals=2 whose graph contains the points ​(0,3​) and ​(1,6​).
Andrew [12]
\bf y=a(b)^x\qquad \qquad (\stackrel{x}{0}~,~\stackrel{y}{3})\implies 3=a(b)^0\implies 3=a
\\\\\\
therefore\qquad y=3(b)^x\\\\
-------------------------------\\\\
(\stackrel{x}{1}~,~\stackrel{y}{6})\implies 6=3(b)^1\implies \cfrac{6}{3}=b^1\implies 2=b
\\\\\\
therefore\qquad y=3(2)^x

now, exponential functions have a horizontal asymptote at the x-axis, namely when y = 0, however, if you just move this one with a vertical translation of 2, then the horizontal asymptote will be at 2 instead.    y = 3(2)ˣ + 2
6 0
3 years ago
A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.
valentina_108 [34]

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>
  • A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
  • It is also known as the circle's longest chord.
  • Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

  • Let's say the hour hand completed one full round around the clock.
  • If this was the case, it would have been 2\pi×8 inches around.
  • We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2\pi×8×( 5/12 ).
  • Distance hour hand travel is 20.94 inches.

Therefore, the distance hour hand travel in 5 hours is 20.94 inches.

Know more diameter here:

brainly.com/question/390660

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8 0
2 years ago
Which is the simplified form of the expression (6^-2•6^5)^-3
Arisa [49]

Answer:

1

Step-by-step explanation:

( {6}^{ - 2}  \times  {6}^{5} ) ^{ - 3}  \\  = ( {6}^{3} )^{ - 3}  \\  =  {6}^{0}  \\  = 1

6 0
3 years ago
Read 2 more answers
2) If Silas added 5 years to his age he would be 39. How old is Silas now? Write as an equation and solve.
Fofino [41]
Here's the equation:
5 + x=39
-5        -5

Here's the answer: x=34
6 0
3 years ago
Read 2 more answers
Factor -1/4 out of -1/2x -5/4y. (i will mark brainlyest)
mash [69]

Answer:

-1/4 (2x - 5y)

Step-by-step explanation:

For us to factor -1/4 out of -1/2x -5/4y

We will have to multiply the values in bracket by the reciprocal of -1/4 i.e -4 as shown

-1/2x - 5/4 y

= -1/4 (-4(-1/2x) - (-4)(-5/4y))

= -1/4 (4/2 x - 20/4 y)

= -1/4 (2x - 5y)

Hence the factored expression is -1/4 (2x - 5y)

5 0
3 years ago
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