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cricket20 [7]
2 years ago
14

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.

Mathematics
2 answers:
myrzilka [38]2 years ago
4 0
I hope this helps you

babymother [125]2 years ago
3 0
We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.

t^2 + 3t + 2 = 0

t1 = -1
t2 = -2

x1 = √-1 = i
x2 = -i

x3 = √-2 = i√2
x4 = -i√2

Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...
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Jamie just bought two boxes.The first box is square with each side measuring 10 units and is 4 units high.The second box is rect
MakcuM [25]
Step 1
find the volume of the square box
volume=area of the base*height
area of the base=10²-----> 100 units²
height=4 units
volume square box=100*4----> 400 units³

step 2
volume rectangular box=2*volume square box
volume rectangular box=2*400------> 800 units³

volume rectangular box=L*W*H
H=5 units
W=10 units
Volume=800 units³
800=L*10*5------> solve for L
L=800/(10*5)------> L=16 units

the answer is
the length of the rectangular box is 16 units

7 0
2 years ago
Rutherford used positively charged particles to investigate the structure of the atom. The results surprised him, and he develop
mel-nik [20]

The answer is (B): A few positive particles bounced back because they were pushed away from the positive center.

3 0
2 years ago
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Angelique had 20 tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left. Angeliqu
alexandr402 [8]

Answer:  Both the expressions are exactly same . Both are representing the number of tokens she has now.


Step-by-step explanation:

Given: The total number of tokens Angelique has= 20

Since, she lost some of them, let the number of lost tokens be t.

Then, The remaining  tokens she has = 20-t

Then her father triples the tokens she has.

now, the number of token she has=3(20-t)....>Angelique's expression

By using distributive property,

The number of token she has=3\times20-3t

⇒The number of token she has=60-3t...> Dante's expressions

Hence, both are the same expressions. Both are representing the number of tokens she has now.

7 0
1 year ago
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Congratulations you received a score of 3.4 on your annual review . Merit increases are given out starting at .5% at a score of
defon
<span>Using the formula above, your merit increase will be 2.5%. You received a score of 3.4 on your annual review. Since the merit increase model is 0.5% salary increase at a score of 2.6, with an additional 1% for every .4 points above that baseline, you get 2.5%, which is the baseline of 0.5% + 2% for the 0.8 points you scored above that baseline.</span>
6 0
1 year ago
A theatre has the capacity to seat people across two levels, the Circle and
andriy [413]

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

8 0
1 year ago
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