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Andrei [34K]
3 years ago
12

Solve for x b=1/6π n ^2 x

Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer:

\large\boxed{x=\dfrac{6b}{\pi n^2}}

Step-by-step explanation:

b=\dfrac{1}{6}\pi n^2x\qquad\text{multiply both sides by 6}\\\\6b=\pi n^2x\qquad\text{divide both sides by}\ \pi n^2\neq0\\\\\dfrac{6b}{\pi n^2}=b

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At which points are the equations y = x2 + 5x - 2 and y = x + 1 equal?
lana [24]

Answer:

When they are equal, y=y, so we can say:

x^2+5x-2=x+1  subtract x from both sides

x^2+4x-2=1  add 2 to both sides

x^2+4x=3, now add half the linear coefficient squared, (4/2)^2=4

x^2+4x+4=3+4 now the left side is a perfect square

(x+2)^2=7  now take the square root of both sides

x+2=±√7  subtract 2 from both sides

x=-2±√7

x=-2+√7 and -2-√7

y=x+1 the two points where these equations are equal are:

(-2-√7, -1-√7) and (-2+√7, -1+√7)

or approximately:

(-4.65, -3.65) and (0.65, 1.65)

4 0
3 years ago
(3.) If it costs $4.20 per square foot to installthe deck, what is the cost for plan A? PlanB?
Yuri [45]

Answer:

Step-by-step explanation:

I have reproduced a diagram of the question in the attachment.

To do a price comparison, we simply find the areas of both the deck and garden in Plan A and Plan B.

In Plan A,

Deck Measures 18 feet by 25 feet

Garden measures 9 feet by 12 feet

Area of Garden = 12 X 9 =108 square feet

Area of Deck (in Gray) = (18 X 25) - (12 X 9) =450-108 =342 square feet

Cost of Garden =$1.40 X 108=$151.2

Cost of Deck = $4.20 X 342=$1436.4

Total Cost for Plan A= $151.2+ $1436.4=$1587.6

In Plan B

Deck Measures 16 feet by 20 feet

Garden has a radius of 5 feet

Area of Garden = =\pi r^{2}=  \pi X5 X 5=78.5 square feet

Area of Deck (in Gray) = (16 X 20) - ( \pi X5 X 5) =320-78.5 =241.5 square feet

Cost of Garden =$1.40 X 78.5=$109.9

Cost of Deck = $4.20 X 241.5=$1014.3

Total Cost for Plan B= $109.9+ $1014.3=$1124.2

Total Cost for Plan A=$1587.6

Total Cost for Plan B=$1124.2

Plan B is less expensive by $1587.6-$1124.2= $463.4

5 0
3 years ago
Can someone help with this pleasee?
enot [183]

Answer:

That is so easyyyyyyyyy

Step-by-step explanation:

3 0
3 years ago
What is the scientific notation for 1700
Crazy boy [7]
It would be 1.7 x 10^{3}
7 0
3 years ago
Read 2 more answers
RSM QUESTION NEED HELP!!!!!! A biker traveling at his usual speed can go from his house to work in 4 hours. When the weather is
kogti [31]
<h3>Answer:   216 miles</h3>

=======================================

Work Shown:

d = distance from work to his house

x = speed when weather is good

y = speed when weather is bad

y = x-6 since he travels 6 mph slower

------------------------

On a good weather day, he travels for 4 hours and goes at x mph

distance = rate*time

d = r*t

d = x*4

d = 4x

----------------------

On a bad weather day, he travels 4.5 hours (half hour more than 4 hrs) and goes at y = x-6 mph

d = r*t

d = y*4.5

d = 4.5y

d = 4.5(x-6) .... replace y with x-6

d = 4.5x-27 .... distribute

----------------------

The values of d for both equations are the same, as the biker is traveling the same distance. So we can equate the two right hand sides (RHS) and solve for x.

4.5x-27 = 4x

4.5x-4x = 27

0.5x = 27

x = 27/0.5

x = 54

The biker's speed on a good weather day is 54 mph.

A bad weather day's speed would be y = x-6 = 54 - 6 = 48 mph.

----------------------

Now compute the value of d

d = 4x

d = 4*54

d = 216

The biker travels 216 miles on a good weather day

or,

d = 4.5*y

d = 4.5*48

d = 216

the biker travels that same distance on a bad weather day.

3 0
4 years ago
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