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lesantik [10]
3 years ago
11

A lion’s heart beats 12 times in 16 seconds.how many heartbeats will it have in 60 seconds?

Mathematics
1 answer:
Sergio [31]3 years ago
6 0
Hey there!

Here is your answer:

<u><em>The proper answer to this question is "44 times".</em></u>

Reason:

You have to solve it this way:

<u><em>12 heartbeats=16 seconds</em></u>

<u><em>16+16=32</em></u>
<u><em>36+16=48</em></u>
<u><em>48+16=64</em></u>
<u><em>16-12=4</em></u>
<u><em>12+12=36+8=44</em></u>

<em>Therefore lions heart beats 44 times every 60 seconds.</em>

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
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An international company has 25,800 employees in one country. If this represents 31.1% of the companies employees, how many empl
aksik [14]

Answer:

Rounded to the nearest integer, the company has a total of 82,958 employees.

Step-by-step explanation:

Given that an international company has 25,800 employees in one country, if this represents 31.1% of the companies employees, to determine how many employees does it have in total, the following calculation must be performed:

31.1 = 25,800

100 = X

100 x 25,800 / 31.1 = X

2,580,000 / 31.1 = X

82,958.1 = X

Thus, rounded to the nearest integer, the company has a total of 82,958 employees.

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3 years ago
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kogti [31]
25, 18+9-2=25 have a great day
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3 years ago
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The height (feet) of an object moving vertically is given by s= (-16t^2)+(208t)+(156), where t is in seconds.
OverLord2011 [107]

Answer:

The object's velocity at t = 7 is -16 ft/s

The maximum height is 832 ft and it occurs when t=\frac{13}{2}

Step-by-step explanation:

From the information given, the equation of motion of the object is

s(t)= -16t^2+208t+156

For any equation of motion s(t), the instantaneous velocity at time t is given by

v(t)=\frac{ds}{dt}

(a) To find the object's velocity at t = 7, you must:

v(t)=\frac{d}{dt}(-16t^2+208t+156)\\\\v(t)=-\frac{d}{dt}\left(16t^2\right)+\frac{d}{dt}\left(208t\right)+\frac{d}{dt}\left(156\right)\\\\v(t)=-32t+208+0\\\\v(t)=-32t+208

Next, we evaluate when t = 7

v(7)=-32(7)+208=-224+208\\\\v(7)=-16

The object's velocity at t = 7 is -16 ft/s

(b) <em>To find the maximum of a function we always use the derivative of the function and we set it equal zero to find the</em><em> critical points.</em>

To find the maximum height and when it occurs, we set the velocity function equal to 0 and solve for t.

-32t+208=0\\\\-32t+208-208=0-208\\\\-32t=-208\\\\\frac{-32t}{-32}=\frac{-208}{-32}\\\\t=\frac{13}{2}

Next, we substitute this value into the equation of motion to find the maximum height

s(\frac{13}{2})= -16(\frac{13}{2})^2+208(\frac{13}{2})+156\\\\s(\frac{13}{2})=-676+1352+156)=832

The maximum height is 832 ft and it occurs when t=\frac{13}{2}

6 0
3 years ago
What is the lowest whole number for hypotenuse c when using the formula <img src="https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E2%2Bb%5E
nata0808 [166]

9514 1404 393

Answer:

  0

Step-by-step explanation:

If a=b, you are asking for a whole number c such that ...

  c = √(a² +a²) = a√2

If 'a' is a whole number, the only whole numbers that satisfy this equation are ...

  c = 0 and a = 0.

  0 = 0×√2

The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.

__

√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.

_____

<em>Additional comment</em>

If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.

3 0
3 years ago
Need help on this !!!!!
Arisa [49]

Answer:

17

Step-by-step explanation:

Remark

In this formation, the chords cut each other so that

Equation

(3x - 1) * 3 = 12*(x -2)        Remove the brackets.

Solution

9x - 3 = 12x - 24                       Add 24 to both sides.

9x - 3 + 24 = 12x - 24 + 24      Combine

9x + 21 = 12x                            Subtract 9x from both sides

9x - 9x +21 = 12x - 9x

21 = 3x                                     Divide by 3

21/2 = 3x/3              

7 = x

Find QR

QR = 12 + x - 2

QR = 10 + 7

QR = 17

4 0
3 years ago
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