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Pachacha [2.7K]
2 years ago
7

When a mantis shrimp strikes, its arm-club gets up to a velocity of 23 m/s moving away from its body. Scientists calculate the a

cceleration at 100,000 m/s/s.
How long does it take the arm-club to get to 23 m/s?
Mathematics
1 answer:
Ksenya-84 [330]2 years ago
5 0

Answer:

t=4.6\times 10^{-4}\ s

Step-by-step explanation:

We have,

Initial velocity of arm club is 23 m/s

Acceleration is 100000 m/s²

It is required to find the time taken by it to take the arm-club to get to 23 m/s. It means v = -23 m/s. It is based on the equation of kinematics such that :

v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{-23-23}{100000}\\\\t=4.6\times 10^{-4}\ s

So, the time taken by it is 4.6\times 10^{-4}\ s.

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A circular backyard pool has a diameter of 26 feet and is 4 feet deep. One cubic foot of water has a capacity of approximately 7
klasskru [66]
Find the water volume of the pool.  The formula for a vertical cylinder is V = pi*r^2*h, which here is V = pi(13 ft)^2*(4 ft) = 676*pi cubic feet.

Now convert this 676 cu. ft. to gallons:

Mult (676*pi cu ft) by the conversion factor (7.48 gal) / (1 cu ft):

676*pi cu ft     7.48 gal
--------------- * ------------- = 5056*pi gallons (rounded down from 5056.48 pi)
        1             1 cu ft

The cost of filling the pool will be

5056.48*pi gallons        $3
--------------------------- * ------------- = $48 (to the nearest dollar)
        1                           1000 gal
7 0
2 years ago
What is the value of y in the following system y= 3x-5 6x+3y=15
Misha Larkins [42]
X=2. You use substitution to put the y=3x-5 into 6x+3y=15.
So you get 6x+3(3x-5)=15
=6x+9x-15=15
add 15 on both sides to get the x's alone and add the x's together.
6+9=15 -- 15+15=30
15x=30
30/15 =2
x=2
7 0
2 years ago
Read 2 more answers
A brand new filled can of chicken broth is 12 cm tall and has a radius of 5 cm. Michele uses some of the broth to cook and now t
Natalka [10]
To find the awnser, the equation would be: the volume of the can - the volume left

to find the value,we can use 3.14 for 丌

The volume of the can would be the base area (丌r^2)times it's height,which in this case the volume is:

3.14(5)^2×12
=3.14×25×12
=942 cm³

The volume left:
3.14(5)^2×4
=314cm³

Thus,Mishka used:
942-314
=628 cm³

The answer is 628cm³

Hope it helps!
5 0
2 years ago
Read 2 more answers
Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° tria
Norma-Jean [14]

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is \sqrt{2} times the length of each leg.

Proof:

\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a^2 + b^2 = c^2

Since a=b in an isosceles triangle:

a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2}  \\\\c=a\sqrt{2} \\

Therefore, the next step is to Determine the principal square root of both sides of the equation.

8 0
2 years ago
Read 2 more answers
If h(x) = 6 – x, what is the value of (h circle h) (10)?
Marta_Voda [28]

Answer:

10

Step-by-step explanation:

hoh(x) = h(h(x)) = 6 - h(x) = 6 - (6-x) = 6 - 6 + x = x

then

hoh(x) = x

then

hoh(10) = 10

5 0
1 year ago
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