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katovenus [111]
3 years ago
15

4b+5=1+5b B=____ What do I do....I kinda forgot how to do this...

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

b = 4

Step-by-step explanation:

4b + 5 = 1 + 5b

4b-5b + 5 = 1

4b-5b = 1 - 5

-b = 1 - 5

-b = -4

-b = -4

b - 4

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Leah invested $950 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals ar
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3 years ago
Gerald has a punch bowl in the shape of a hemisphere as shown below.
zmey [24]

The closest to the maximum number of cups the punch bowl can hold is 30

<h3>How to determine the number of cups?</h3>

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

V = \frac{2}{3}\pi r^3

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V = \frac{2}{3}\pi * 6^3

Evaluate

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Read more about volumes at:

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6 0
2 years ago
Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

{r}^{2}  = 4  \cos2\theta

<u>EXPLANATION</u>

The Cartesian equation is

{( {x}^{2}  +  {y}^{2} )}^{2}  = 4( {x}^{2} -  {y}^{2}  )

We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

{x}^{2}  +  {y}^{2}  =  {r}^{2}

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Let us evaluate the exponents to get:

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Factor the RHS to get:

{r}^{4}  = 4{r}^{2} ({   \cos^{2}\theta } -   \sin^{2}\theta)

Divide through by r²

{r}^{2}  = 4 ({   \cos^{2}\theta } -   \sin^{2}\theta)

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\cos^{2}\theta -\sin^{2}\theta=  \cos(2 \theta)

The polar equation then becomes:

{r}^{2}  = 4  \cos2\theta

7 0
3 years ago
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