A physics lab group was conducting an experiment to determine the length of a spring when different objects of varying weight were hung from it. After testing ten different objects, the group calculated the following linear regression where x is the weight of the object in ounces and h(x) is the length of the spring in centimeters: h(x)= 2.3x+15.5. What does y-intercept of this equation indicate about the relationship between object weight and the length of the spring?1) When there is no object on the spring, its length is 2.3 cm
2) When there is no object on the spring, its length 15.5 cm
3) For every ounce of weight, the spring length increases by 2.3 cm
4) For every ounce of weight, the spring length increases by 1535 cm

Answers

Answer 1

Answer: 2). The length of the spring is 15.5 cm, and that's how it hangs
when there's no weight on it.

In the equation, 'x' is the weight of the object. If there's no object, then
x = 0 and h(x) = 15.5 .

Answer 2

Answer: 15.5 is the answer
man...that was pretty hard

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The quadratic equation (3k-2)x^2 +12x+3(k+1) =0 has equal roots. Find the two possible values of k.

Answers

$x_1=x_2 \Rightarrow \Delta=0\n\Delta=12^2-4\cdot(3k-2)\cdot3(k+1)\n\Delta=144-(36k-24)(k+1)\n\Delta=144-36k^2-36k+24k+24\n\Delta=-36k^2-12k+168\n-36k^2-12k+168=0\n-3k^2-k+14=0\n-3k^2+6k-7k+14=0\n-3k(k-2)-7(k-2)=0\n-(3k+7)(k-2)=0\nk=-(7)/(3) \vee k=2$

Which number line shows the graph of –0.3?

Answers

it would help if you actually had the graph on it so we could see outher wizze we cant rlly answer

Where is the graph at?

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party.

Answers

Answer:

3x = 48

Step-by-step explanation:

To easily do this, we'll make the statement in mathematical form.

Let x represent the number of friends at Jack's wedding.

The equation would be:

3 * x = 50 - 2

3x = 48

x = 48 / 3

x = 16

Therefore, the equation to determine the number of friends (x) at Jack's party is expressed as:

3x = 48

Maths is fun!

Answer:

50/3=16

Step-by-step explanation:

Complete the following item based on the given information.The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?
k = ________

Answers

Answer:

The constant of proportionality for the group of boxes is 25.

Step-by-step explanation:

Given : The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches.

To find : What is the constant of proportionality for the group of boxes?

Solution :

The volume of a box(V) varies directly with its length(l).

Using k for the constant of proportionality.

We can express the relationship between V and l

If V varies directly with l.

V = kl

According to question,

If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then

$325=13k\n\n\Rightarrow\ k=(325)/(13)\n\n\Rightarrow\ k=25$

Therefore, The constant of proportionality for the group of boxes is 25.

k = 325/13
..............................................

Simplify the expression. Write the answer without using parentheses or negative exponents.((x^4 y^2)^5)/((x^2 y)^2)

Answers

$( (x^4 y^2)^5 )/( (x^2 y)^2 ) =( x^(4*5) y ^(2*5) )/( x ^(2*2) y ^2 ) =( x^(20) y ^(10) )/( x^4y^2 ) = x^(20-4) *y^(10-2)= x^(16) *y^(8)$

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