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Montano1993 [528]
3 years ago
9

[2/(n+2)] - (3/n+2) = 5 Solve by u-substitution

Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
<span>let n+2=u so, the equation became= [2/u]-[3/u]=5 => [(2+3)/u]=5 => 5/u=5 => u=5/5=1 thus, u=1 we know u=n+2 so, n+2=1 => n=1-2=-1 so, n=-1</span>
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Find the area of a circle with the diameter of 3 centimeters. Use 3.14 for pi ().
wlad13 [49]

Answer:

7.065 sq. cm

Step-by-step explanation:

Diameter= 3 cm

Since 2r=d, the radius is 1.5 cm

Circle area formula:

πr^2 --> 3.14(r^2)

Plug in r:

A=3.14(1.5^2)

A=3.14(2.25)

A=7.065

3 0
3 years ago
A ball is thrown from a height of 139 feet with an initial downward velocity of 15 ft/s. The ball's height h (in feet) after t s
ella [17]

Answer:

t = 2.52 seconds

Step-by-step explanation:

h=139-15t-16t^2

We want to know when the ball hits the ground

That would be when h=0

0 = 139-15t-16t^2

We can use the quadratic formula to find t

t = -b ± sqrt(b^2-4ac)

       ----------------------

          2a

where a = -16   b = -15  and c = 139

t = -(-15) ± sqrt((-15)^2-4(-16)139)

       ----------------------

          2(-16)

t = (15) ± sqrt(225+8896)

       ----------------------

          -32

t = (15) ± sqrt(9121)

       ----------------------

          -32

t = 15+ sqrt(9121)                       t = 15- sqrt(9121)

     --------------------   or                    -------------------  

           -32                                               -32

        -3.453247707        or              2.515747707

Since time cannot be negative

 2.515747707

Round to the nearest hundredth

t = 2.52 seconds

6 0
3 years ago
A bakery used 38 pounds of flour to make French bread and
fomenos

Answer:

since we are not given the options, I will write down a few equations that represent the number of French bread loaves and bagels:

  • a = number of loaves of French bread
  • b = number of bagels
  • available amount of flour = 38

2a + b ≤ 38

2a ≤ 38 - b

a ≤ (38 - b) / 2

a ≤ 19 - 0.5b

b ≤ 38 - 2a

b ≤ 2(19 - a)

Hopefully one of these equations is one of the choices given to you.

8 0
2 years ago
What is the area of this figure?
larisa86 [58]
The area is 63m squared
7 0
3 years ago
Read 2 more answers
A board is cut so that its length is changed from 8 feet to 6.5 feet. What is the percent of change in length? Round your answer
Schach [20]

it went from 8 to 6.5, namely 8 - 6.5 = 1.5.


if we take the 8 to be the 100%, what is 1.5 off of it in percentage?


\bf \begin{array}{ccll}amount&\%\\\cline{1-2}8&100\\1.5&x\end{array}\implies \cfrac{8}{1.5}=\cfrac{100}{x}\implies x=\cfrac{1.5\cdot 100}{8}\implies x=18.75


well, we can round that up to 18.8%, however since it's a subtraction from the board, we can say is -18.8%, a negative percent, because is a percent that was taken out of it.

3 0
2 years ago
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