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Oxana [17]
2 years ago
14

Which statement best summarizes the central idea of “Applications of Newton’s Laws”? Newton’s laws can explain the forces that o

ccur between objects every day. Newton’s laws are useful for explaining why we should make good decisions. People should use caution when moving objects, due to objects’ inertia. Newton’s laws are outdated and cannot be used for present-day problems and situations.
Mathematics
2 answers:
Kisachek [45]2 years ago
8 0

Step-by-step explanation:

Newtons has given three laws of motion. The concept of gravitational force is also given by Newton. According to him the force acting between two objects is given by :

F=G\dfrac{m_1m_2}{r^2}.............(1)

Where

m₁ and m₂ are masses of two objects

r = distance between them

G = universal gravitational constant

Equation 1 shows the force acting between the objects in the universe. So, Newton's laws explains about the forces acting between objects in our daily lives.

nadya68 [22]2 years ago
5 0
Answer: <span>Newton’s laws can explain the forces that occur between objects every day. 

Newton's Laws are known as the "Three Laws of Motion." They address inertia, force, and gravity. Because these are all phenomenons that occur every day, that is the correct answer.
</span>
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Compute the least-squares regression line for predicting y from a given the following summary statistics. Round final answers to
qwelly [4]

Answer: Regression line equation:  \hat{y}=-1.008x+39.1704

Step-by-step explanation:

Equation of least-squares regression line for predicting y :

\hat{y}=b_1x+b_o

, where \text{Slope} (b_1)=r\dfrac{s_y}{s_x} ,  \text{intercept}(b_0)=\bar{y}-b_1\bar{x}

Given: \bar{x}=8.8,\ s_x=1.5,\ s_y=1.8,\ \bar{y}=30.3,\ r=-0.84

Then,

b_1=(-0.84)\dfrac{ 1.8}{ 1.5}\\\\\Rightarrow\ b_1=-1.008

Now,

b_0=30.3-(-1.008)(8.8)=30.3+8.8704\\\\\Rightarrow\ b_0=39.1704

Then, Regression line equation:  \hat{y}=-1.008x+39.1704

6 0
2 years ago
4.Find the square roots of the following decimal numbers
alisha [4.7K]

Answer:

I) 32.5

ii) 100.1

Step-by-step explanation:

I) 1056.25 = √1056.25

= 32.5

ii) 10020.01= √10020.01

=100.1

4 0
2 years ago
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Using synthetic division, what is the factored form of this polynomial?x^4+6x^3+33x^2+150x+200
ioda

x^4 + 6x^3 + 33x^2 + 150x + 200

x^4 + 2x^3 + 4x^3 + 8x^2 + 25x^2 + 50x + 100x + 200

x^3 x (x + 2) + 4x^2 x (x + 2) + 25x x (x+2) + 100 (x + 2)

(x + 2) x (x^3 + 4x^2 + 25x + 100)

(x + 2) x (x^2 x (x + 4) + 25 (x + 4))

solution : (x + 2) x (x + 4) x (x^2 + 25)

4 0
2 years ago
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In the last two weeks of a sale, prices are reduced first by 30% and then by a further 40% of the new price . What is the final
Mandarinka [93]
15 x .30 = 4.50 discount     15-4.50= 10.50
10.50 x .40 = 4.20

Final cost of shirt  10.50-4.20 =  $6.30
5 0
2 years ago
A rectangular Corn Hole area at the recreation center has a width of 5 feet and a length of 10 feet. If a uniform amount is adde
almond37 [142]
1. The formula for calculate the area of a rectangle, is:
 
 A=LxW
 
 A is the area of the rectangle
 L is the length of the rectangle.
 W is the widht of the rectangle

2. You have that:
 
 -The<span> rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:
 
 L1=10 feet
 W1=5 feet
 
 - When</span> a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):
 
 3. The new length is:<span> 
 
 L2=L1+x+x
 L2=L1+2x
 L2=10+2x
 
 4. The new width is:
 
 W2=W1+x+x
 W2=W1+2x
 W2=5+2x
 
 5. The new area is:
 
 A2=84 feet</span>²<span>
 
 6. Then, you have:
 
 A=LxW
 84</span>=(10+2x)(<span>5+2x)
 
 7. When you apply the distributive property, you obtain a quadratic equation:
 
 4x</span>²+30x-34=0
<span> 
 8. You can solve with by applyin the quadratic formula: 
 
 x=(-b±√(b^2-4ac))/2a
 
 a=4
 b=30
 c=-34
 
 9. Then, the answer is:
 
 x=1 feet
</span><span> 
</span>
5 0
2 years ago
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