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2 years ago

10

The water level in an ocean bay changes at an average rate of 3 meters per hour. At this rate, how many hours would it take for

the water level to change 12 meters?

1 answer:

oksian1 [2.3K]2 years ago

3 0

It would take four hours because four times three is twelve.

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The sink in Josh’s art studio measures 16 inches by 15 inches by 6 inches. A second sink used just for paint brushes has a simil

marin [14]

Linear scale factor =1/2
volume scale factor=(1/2)³=1/8
the volume of the larger figure will be:
volume=length*width*height
volume=16×15×6
volume=1440 cubic inches
thus volume of the small sink will be:
1/8×1440
=180 cubic inches

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2 years ago

For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k

slega [8]

$\text{Given that,}\\\\P(x) = x^3 -x^2 -18x+k\\\\\text{If the roots are}~ \alpha, ~ \beta,~\text{and}~ \gamma, ~ \text{then},\\\\\alpha +\beta+\gamma= -\dfrac{(-1)}1 = 1\\\\\alpha \beta +\beta \gamma + \gamma \alpha= -\dfrac{18}1 = -18\\ \\\text{Now, sum of the squares of the roots,}\\\\\alpha^2 + \beta^2 + \gamma^2 = ( \alpha + \beta + \gamma)^2 -2(\alpha \beta + \gamma \beta + \gamma \alpha)\\ \\~~~~~~~~~~~~~~~~~~=1^2 - 2(-18)\\\\~~~~~~~~~~~~~~~~~~=1+36\\\\~~~~~~~~~~~~~~~~~~=37$

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1 year ago

What is the equation of the line that passes through the point (4. -2) and has a<br> slope of 5/4?

KIM [24]

Answer:

y = 5/4 x - 7

Step-by-step explanation:

y - y1 = m(x - x1)

y + 2 = 5/4 (x - 4)

y + 2 = 5/4 x - 5

y = 5/4 x - 7

7 0

1 year ago

Plleeaassee help it is URGENT MAATHH HELP PLEASE WILL GIVE 5 STARS ON ALL CORRECT ANSWERS, MARK AS BEST ANSWER AND SAY THANKS

lara [203]

Using Pythagoras in the first question
c= $\sqrt{16 ^{2} + 4^{2} } =16.4924$
which is approximately 16.5
for the second question
we also use Pythagoras
$b^2=c^2-a^2$
$\sqrt{13^{2}-12^2}=5$

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2 years ago

Find the perimeter and area

blondinia [14]

Answer:

perimeter = 67

Step-by-step explanation:

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2 years ago