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Lunna [17]
3 years ago
13

What is the slope of the line represented by the equation

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

The slope is -3/4

Step-by-step explanation:

3x+4y = 8

We want to get the equation in slope intercept form

y = mx+b where m is the slope

Subtract 3x from each side

3x+4y-3x= -3x+8

4y = -3x+8

Divide by 4

4y/4 = -3x/4 +8/4

y = -3/4x +2

The slope is -3/4 and the y intercept is 2

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Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num
Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

7 0
3 years ago
Which number(s) below belong to the solution set of the inequality? Check all
pickupchik [31]

Answer:

C)  1

F)  29

Step-by-step explanation:

all numbers less than 30 are solutions

3 0
3 years ago
Read 2 more answers
Classify each event as simple or compound
Dmitry [639]

Answer:

1. Compound

2. Simple

3. Simple

4. Compound

Step-by-step explanation:

The way I differentiated these was based on the quantitivity of each scenario. I related it to compound and simple sentences. For example, when one act was committed, it was clearly singular & simple. But if there was two actions consecutively, I'd consider that compound.

4 0
3 years ago
Read 2 more answers
Lorenzo buys 3 shirts at S dollars a piece and 2 pairs of pants at P dollars a pair. What does the expression 3s + 2p represent?
ryzh [129]

Answer:

The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

Step-by-step explanation:

It is given that

Price of a shirt = S dollar

Price of a pair of pants = P

Total number of shirts = 3

Total number of pairs of pants = 2

Total price = Quantity × Price of each unit

Total price of 3 shirts = 3S

Total price of 2 pairs of pants = 2P

Total price of 3 shirts and 2 pairs of pants = 3S + 2P

Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

3 0
3 years ago
Read 2 more answers
Help Pre-Calc
Alex73 [517]

Answer:

B) vertical stretch

Step-by-step explanation:

Given that the cost of manufacturing x refrigerators is given by the function f(x)= 2x^2 + 6000.

Now it says that the cost doubles for the year 2011 owing to higher raw material prices. So that means cost function will change from f(x) to 2f(x).

Now we need to decide the type of transformation from f(x) to 2f(x).

Remember that when f(x) changes to a*f(x) where value of "a" is greater than 1 then it stretches the function vertically by factor of "a".

in 2f(x), we have a=2

So that means "B) vertical stretch" is the correct choice.

6 0
3 years ago
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