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Stella [2.4K]
3 years ago
7

Solve for the variable b. 5a(b - c ) = d

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0
We have to isolate b using inverse operations.

5a(b - c) = d
Simplify using Distributive Property.
5ab - 5ac = d
Add 5ac to both sides.
5ab = d + 5ac
Divide both sides by 5a.
b = 5ac + d / 5a
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A cylindrical milk storage tank needs to be built to hold 84.78 cubic feet of milk. The foundation for the tank has already been
Romashka [77]

Answer:

3 or 2.999 (probably 3)

Step-by-step explanation:

So the volume of a cylinder =  πr^2 * h

h = height

r = radius

now we know the radius. Leaving us with a simple equation which is:

π*9*h = 9π*h = 84.78 =

π*h = 9.42

h = 9.42 / π = 2.99847912785......

but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.

Reference my work if you're are confused, however, it's really messy so sorry about that.

8 0
2 years ago
Tell whether the table of values represents a linear function, an exponential function, or a quadratic funtion
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

if it is linear then it will be a straight line(gradient is the same)

if quadratic then curve(gradeint isnt the same)

y=mx+c

m=[y(2)-y(1)]/[x(2)-x(1)]

you can choose any 2 points from the table

m=2-0.4/0-1

m=-1.6

repeat but 2 different coordinates

m=0.4-0.08/-1--2==>-2.24

m=-2.24

different coordinate therefore quadratic

cant be exponential, because nothing is being raised to some power

5 0
2 years ago
Question 4 (Essay Worth 10 points)
Over [174]

The 3-D shape would be created if the figure was rotated around the x-axis is a cone

<h3>What are 3-D shapes?</h3>

3-D shapes (short form of 3-Dimensional shapes) are shapes that have width, length and height

<h3>How to determine the 3-D shape?</h3>

The coordinates are given as:

(0, 0), (-3, -4) and (-3, 0)

When the above coordinates are plotted on a coordinate plane and the points are connected;

We can see that the points form a right-triangle

See attachment for the shape

As a general rule

Rotating a right-triangle across the x-axis would form a cone

Hence, the 3-D shape would be created if the figure was rotated around the x-axis is a cone

Read more about rotation at:

brainly.com/question/4289712

#SPJ1

8 0
2 years ago
Pleaseeee help ASAP it’s due today :(
Aleksandr [31]

Let, price increased by x times.

New price = 40 + ( 1 × x ) = 40 + x

It is given that for each $1 increase park loses 300 visitors.

Number of visitors = ( 24000 - 300x )

So, revenue is given by :

R = ( 24000 - 300x )( 40 + x )    ....1)

To finding critical point :

R'(x) = 0

-300( 40 + x )  + ( 24000 - 300x ) = 0     .....By product law

-12000 - 300x + 24000 -300x = 0

600x = 12000

x = 20

So, revenue is maximum at x = 20 .

Putting x = 20 in equation 1) , we get :

R = ( 24000 - 300x )( 40 + x )

R = [ 24000 - 300(20)][40 + 20 ]

R = $1080000

Therefore, park should charge $( 40 + 20 ) = $60 for maximising the revenue and maximum revenue is  $10,80,000  .

Hence, this is the required solution.

5 0
3 years ago
Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account p
shutvik [7]

Answer:

Step-by-step explanation:

Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account paying in interest rate of 5 3/4%compounded continuously after 12 years how much more money with Ariana having her account then Kylie to the nearest dollar?

4 0
3 years ago
Read 2 more answers
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