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Bogdan [553]
3 years ago
9

You and a friend take pictures at a motocross event. Your camera can take 24 pictures in 3.75 seconds. Your friend's camera can

take 36 pictures in 4.5 seconds. Evaluate the expression (36 divided by 4.5)/(24 divided by 3.75) to find out how many times faster your friend's camera is than your camera. *
Mathematics
1 answer:
Dimas [21]3 years ago
8 0

Answer:

1.25

Step-by-step explanation:

use the equation given

You might be interested in
Let f( x)= sin(x) Let g(x)=cos(x) a) Sketch the graph of f^2 b) Sketch the graph of g^2 c) Sketch the graph of f^2+g^2
ZanzabumX [31]
Given:
f(x) = sin(x)
g(x) = cos(x).

Note that because sin²x + cos²x = 1, the value for f²+g² should be equal to 1.
Create the table shown below.

       x           f²          g²        f² + g²
--------  ---------- -----------   ------------
-π                0             1               1
-0.8π  0.3455  0.6545              1
-0.6π  0.9045  0.0955              1
-0.4π  0.9045  0.0955              1
-0.2π  0.3455  0.6545              1
      0            0             1              1
 0.2π  0.3455  0.6545              1
 0.4π  0.9045  0.0955             1
 0.6π  0.9045  0.0955             1
0.8π   0.3455  0.6545             1
     π             0            1              1

A sketch is shown in the figure below.



5 0
3 years ago
What is the distance between the following coordinates? Show work.
miss Akunina [59]

Answer:

\huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}}  \:  \: \text{units} } }

<h3>♁ Question :</h3>
  • Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

<h3>♁ Step by step explanation:</h3>

Let the points be A and B. Now,

  • Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
  • Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

\boxed{ \underline{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}}

Substitute the actual value of the points into the distance formula and then simplify.

\dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} +  {(4 - ( - 6))}^{2}  } }}

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(4 - ( - 6))}^{2} } }}

Remember : ( - ) × ( - ) = ( + )

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} +  {(4 + 6)}^{2}  } }}

Add the numbers : 4 and 6

\longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(10)}^{2} } }}

Evaluate the power

\longrightarrow{ \sf{ \sqrt{4 + 100}}}

Add the numbers : 4 and 100

\dashrightarrow{ \sf{ \sqrt{104}}}

\dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}} units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is \sf{2 \sqrt{26}} units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

5 0
3 years ago
Please solve and show steps
ladessa [460]

Answer:

Step-by-step explanation:

There are 6 solutions or zeros here because, according to the Fundamental Theorem of Algebra, the degree of the polynomial dictates how many zeros there are in the polynomial.  If we had a 3rd degree polynomial, we would expect to find 3 zeros; if we had a 5th degree polynomial, we would have 5 zeros, etc.  The easiest way to factor this is to do it initially by grouping:

(4x^6+20x^4)-(25x^2-125) then

4x^4(x^2+5)-25(x^2+5) then

(x^2+5)(4x^4-25)=0

We will factor each set of parenthesis now to get all the zeros.  For the first set of parenthesis:

x^2+5=0 so

x^2=-5 so

x=\sqrt{-5}

But since we can't have a negative under the square root, we have to offset it by using the imaginary number i.  i-squared = -1, so

x = ±i√5

Those are the first 2 zeros out of 6.  Now for the second set of parenthesis:

4x⁴ - 25 = 0.  That is the difference between perfect squares, and that factors to this:

(2x² + 5)(2x² - 5)

The first set of parenthesis there:

2x² + 5 = 0 so

2x² = -5 so

x² = -5/2 so

x = ±\sqrt{\frac{5}{2} }i

Those are the next 2 zeros.  We found 4 so far, now we will find the last 2 in the second set of parenthesis above:

x^2-5=0 so

x^2=5 so

x = ±\sqrt{\frac{5}{2} }

In summary, the 6 zeros are as follows:

x = \sqrt{5}i, -\sqrt{5}i, \sqrt{\frac{5}{2} }i, -\sqrt{\frac{5}{2} }i, \sqrt{\frac{5}{2} }, -\sqrt{\frac{5}{2} }

3 0
3 years ago
Solve for n, 4 x n = 7 x 16
Andru [333]

Answer:

n=28

Step-by-step explanation:

Do I have to explain how i got the answer?

8 0
3 years ago
Read 2 more answers
What is 1/3 plus 7/12?
vlabodo [156]
\frac{1}{3}^{(4}+\frac{7}{12}=\frac{4}{12}+\frac{7}{12}= \\\\ =\boxed{\frac{11}{12}}
3 0
4 years ago
Read 2 more answers
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