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scoundrel [369]
3 years ago
11

The variable b varies directly as the square root of c. lf b= 100 when c=4, which equation can be used to find other combination

s of b and c?​
Mathematics
2 answers:
Alla [95]3 years ago
5 0

Answer:

<em>b = 50√c</em>

Step-by-step explanation:

If b varies directly as the square root of c, this is expressed as;

b∝√c

b = k√c

k is the constant of proportionality

Given b = 100 and c = 4

100 = k√4

100 = 2k

k = 100/2

k = 50

Substitute k = 50 into the original expression:

Recall that: b = k√c

b = 50√c

<em>hence equation that can be used to find other combinations of b and c is b = 50√c</em>

erastova [34]3 years ago
3 0

Answer: for plato family

B is the correct answer

Step-by-step explanation:

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Chin-li is building a brick wall along the front of his property. The wall will have 15 rows of bricks, with 32 bricks in each r
Finger [1]

Answer:

<h3>The solution is 480 bricks.</h3>

Step-by-step explanation:

We are given that number of rows of bricks in a wall = 15 rows.

Number of bricks in a row = 32 bricks.

In order to find the total number of bricks, we need to multiply number of rows with number of bricks in a row.

Total number of bricks in 15 rows = 15 × 32 = 480 bricks.

Therefore, will Chin-li will need 480 bricks.

<h3>The solution is 480 bricks.</h3>
3 0
3 years ago
4(5x + 9)^2 – 33 = -21
ozzi

Answer:

x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

Step-by-step explanation by completing the square:

Solve for x over the real numbers:

4 (5 x + 9)^2 - 33 = -21

Add 33 to both sides:

4 (5 x + 9)^2 = 12

Divide both sides by 4:

(5 x + 9)^2 = 3

Take the square root of both sides:

5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)

Divide both sides by 5:

x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)

Divide both sides by 5:

Answer:  x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

7 0
3 years ago
Read 2 more answers
A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elaps
Burka [1]

Answer:Answer:

Option (c) is correct.

function representing the increase of bacteria every hour x,

Step-by-step explanation:

Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.

we have to find the function that represents the given scenario.

Let x represents the number of hours elapsed.

Given  A colony contains 1500 bacteria

and number of bacteria is increasing at a rate of 115% each hour.

Using formula for Compound interest , we have,

Where A is amount

T is time period

R is rate of interest

Here, P = 1500

T = x hours

R = 115%

Let f(x) be the function representing the increase of bacteria every hour.

Substitute, we have,

Simplify, we get,

Thus,  function representing the increase of bacteria every hour x,

5 0
2 years ago
What is 314'702 in expanded form
Tema [17]
300000 + 10000 + 4000 + 700 + 2
5 0
3 years ago
Old time savings bank pays 4% interest on its savings accounts. if you deposit $1,000 in the bank and leave it there: (do not ro
topjm [15]
A. $40, because you would do 1,000 × 1.04 = $1,040, and then subtract the original $1,000.
b. $81.60, because 1,000 × 1.04² = 1,081.6
c. $480.24, because 1,000 × 1.04^10 = 1,480.24.
I have used the formula for compound interest presuming you were aware of it, but I will be happy to explain what I did if you want :).
I hope this helps!
3 0
3 years ago
Read 2 more answers
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