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Aleks [24]
3 years ago
5

32 + a > 44; 11, 12, 13

Mathematics
1 answer:
Levart [38]3 years ago
4 0
Download Photo math it will help u a lot with steps
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winthrop Middle School had enrollment of 1,342 and a total of 215 teachers. what was the student teacher ratio for this School w
eimsori [14]
Teachers= 215
Students= 1,342

Student: Techer
= 1,342: 215
= 62.1:1
= \frac{62.1}{1}
3 0
3 years ago
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A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0
3 years ago
When comparing the functions using the equation, which conclusion can be made?
ankoles [38]

Answer:

  domain of f(x) is x ≤ 0; domain of f^-1(x) is x ≥ 4

Step-by-step explanation:

The square root function will always give a positive value, so the opposite of the square root function will give non-≤positive values. That means ...

  • the domain of f(x) is restricted to non-positive values
  • the domain of the inverse function is restricted to values of x that make the root be of a non-negative number: x ≥ 4

The domain of f(x) is x ≤ 0; the domain of f^-1(x) is x ≥ 4.

8 0
3 years ago
There are 4 baskets that store 16 bathroom towels. Consider the number of bathroom towels per basket
WINSTONCH [101]

Answer:

there are 4 bathroom towels per basket

Step-by-step explanation:

the equation is 16/4=4 hope this helps :)

5 0
2 years ago
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patient receives M milligrams of a certain drug each day. Each day the body eliminates 25% of the amount of drug present in the
BARSIC [14]

Answer:

Step-by-step explanation:

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3 years ago
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