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Studentka2010 [4]
2 years ago
5

If the average of 2b and 4b is 12, what is the value of b?

Mathematics
1 answer:
rusak2 [61]2 years ago
6 0

Answer:

b=3

Step-by-step explanation:

2b+4b=12

6b^2=12

6b^2 - 6 =12 - 6

b^2/2=6/2

b=3

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The spring has a stiffness k=200n/m and is unstretched when the 25 kg block is at
g100num [7]
To solve this we are going to use the formula fro the force applied to a spring: F=ks
where
k is the spring constant 
s is the extension 

Since we know the F=ma, we can replace that in our formula and solve for a :
ma=ks
a= \frac{ks}{m}
where
a is the acceleration 
k is the spring constant
s is the extension 
m is the mass

We know for our problem that k=200, s=0.4, and m=25. So lets replace those values in our formula to find a:
a= \frac{ks}{m}
a= \frac{(200)(0.4)}{25}
a=3.5 \frac{m}{s^2}

We can conclude that the acceleration of the block when s=0.4m is 3.5 \frac{m}{s^2}.
7 0
2 years ago
Find the missing measure for a right circular cone given the following information. Find h if r = 5 and V = 100. 4 12 30
Blizzard [7]
-------------------------------------------------
Volume of cone:
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Volume = 1/3 πr²h

-------------------------------------------------
Find Height:
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Given that the radius = 5 and the volume = 100, we will substitute these values into their respective variable and solve for height.

Volume = 1/3 πr²h
100 = 1/3 π (5)²h
h = 100 ÷ 1/3π(25)
h= 4 units (Nearest whole number)

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Answer: The height is 4 units.
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7 0
3 years ago
Read 2 more answers
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Triss [41]

Answer: circumference

Step-by-step explanation: you’re welcome

3 0
2 years ago
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I need help on my math.
Nastasia [14]
Okay whats the question?
4 0
3 years ago
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Through (-1,3) parallel to y= 5/4x+3
gavmur [86]

Answer:

The equation of line with slope  \frac{5}{4}  and points  ( - 1 , 3 ) is y =  \frac{5}{4} x +  \frac{17}{4}

Step-by-step explanation:

Given equation of a line as :

y = \frac{5}{4} x + 3

The line equation is in the form of y = m x + c

Where m is the slope of the line

Now while comparing given line equation with standard line equation ,

So , slope of the line m = \frac{5}{4}

∵ Another line is passing through points ( - 1 , 3 ) , and is parallel to given line

Now <u>if two lines are parallel then slope of both lines are equal </u>

Let The slope of another line = M

So, M = m = \frac{5}{4}

∴ The equation of line with slope \frac{5}{4}  and passing through points ( - 1 , 3 ) is

y - y_1 = M × ( x -  x_1 )

Or, y - 3 =  × \frac{5}{4}  ( x + 1 )

or,  4 × (  y - 3 ) =  5 ×   ( x + 1 )

Or,  4 y - 12 = 5 x + 5

Or,  4 y = 5 x + 17

∴   y =  \frac{5}{4} x +  \frac{17}{4}  

Hence The equation of line with slope  \frac{5}{4}  and points      ( - 1 , 3 ) is y =  \frac{5}{4} x +  \frac{17}{4}   Answer

3 0
3 years ago
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