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Lera25 [3.4K]
3 years ago
9

The fastest a human has ever run is 27 miles per hour how many miles per minute did the human run

Mathematics
1 answer:
faust18 [17]3 years ago
3 0

I believe it is 0.45 miles per minute.

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Micah places a mirror on the ground 24 feet from the base of a tree. He walks
irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground  

And he is 9 feet from the image in the mirror.  

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}

\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

Hence, the height of the tree is 8 feet

6 0
3 years ago
F(x)= x-2/ x-4
hodyreva [135]

Answer:

The discontinuity is x = 4

There no holes

The equation of the vertical asymptote is x = 4

The x intercept is 2

The equation of the horizontal asymptote is y = 1

Step-by-step explanation:

* Lets explain the problem

∵ f(x)=\frac{x-2}{x-4}

- To find the point of discontinuity put the denominator = 0 and find

 the value of x

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

* The discontinuity is x = 4

- A hole occurs when a number is both a zero of the numerator

 and denominator

∵ The numerator is x - 2

∵ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∵ There is no common number makes the numerator and denominator

   equal to 0

∴ There no holes

- Vertical asymptotes are vertical lines which correspond to the zeroes  

  of the denominator of the function

∵ The zero of the denominator is x = 4

∴ The equation of the vertical asymptote is x = 4

- x- intercept is the values of x which make f(x) = 0, means the

 intersection points between the graph and the x-axis

∵ f(x) = 0

∴ \frac{x-2}{x-4}=0 ⇒ by using cross multiplication

∴ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

* The x intercept is 2

- If the highest power of the numerator = the highest power of the

 denominator, then the equation of the horizontal asymptote is

 y = The leading coeff. of numerator/leading coeff. of denominator

∵ The numerator is x - 2

∵ The denominator is x - 4

∵ The leading coefficient of the numerator is 1

∵ The leading coefficient of the denominator is 1

∴ y = 1/1 = 1

* The equation of the horizontal asymptote is y = 1

6 0
3 years ago
What is 15/4 as a mixed number?
max2010maxim [7]
It would be: 15/4 = 3 3/4

In short, Your Answer would be 3 3/4

Hope this helps!
8 0
3 years ago
Baseball hat is on sale for 15% off, which is $2.70. How much does the baseball hat cost at full price?
lidiya [134]

Answer:

27.9 dollars

Step-by-step explanation:

2.70= 15 percent

2.70x2=5.4=30 percent

5.4+2.70=8.1=45 percent

8.1x2=16.2=95 percent

95 percent + 15 percent=18.9

18.9=105 percent

in order to subtract 5 percent we need to find 5 percent by dividing 2.70 by 3

which = .9

18.9+9=27.9

100 percent is 27.9 dollars

4 0
2 years ago
0.75=0.4p+100 what does p equal?
neonofarm [45]

Answer:

p=−248.125

Step-by-step explanation:

  1. Subtract 100 on each side of the equation.
  2. After this, you will have 99.25=0.4p.
  3. Divide each side of the equation by 0.4 to get p by itself.
  4. You should get p= -248.125
3 0
3 years ago
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