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rusak2 [61]
2 years ago
13

Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

Answer:

9/4 (1.75 - 21/4)

=9/4 (1.75 - 5.25)

=2.25 -3.5

= -1.25

I think your f answer is wrong

there should be -1.25

You might be interested in
find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
2 years ago
kayla is drawing a picture of her favorite building in her city, the height of the building on her drawing is 3 inches tall, the
Stolb23 [73]

Answer:

1/12

Step-by-step explanation:

3/36 can easily be simplified into 1/12 you're welcome :)

4 0
3 years ago
Please answer for branliest
Lostsunrise [7]

Answer:

50%

Step-by-step explanation:

There are 2 cards greater than 5 , that is 6 and 7 , then

P( greater than 5 ) = \frac{2}{4} = \frac{1}{2} = 50%

4 0
2 years ago
Which are equivalent to 3^2 x 3^4? check all that apply.
Andreas93 [3]

equivalent

1) 3^6

4) 3^-4 · 3^10

8) (3 · 3) · (3 · 3 · 3 · 3)

Step-by-step explanation:

=  {3}^{2}  \times  {3}^{4}

=  {3}^{(2 + 4)}

=  {3}^{6}

<h2>_____________</h2>

equivalent

1) 3^6

4) 3^-4 · 3^10

8) (3 · 3) · (3 · 3 · 3 · 3)

8 0
2 years ago
Read 2 more answers
The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9
VashaNatasha [74]

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

3 0
3 years ago
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