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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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A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?
valina [46]

Answer:

63:70

Step-by-step explanation:

8 0
3 years ago
What is the value of y in the solution to the following system of equations? 5x − 3y = −11 2x − 6y = −14 −1 0 1 2
Alekssandra [29.7K]
5x - 3y = -11 (×2)
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10x - 6y = -22
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5 0
3 years ago
1) Given P(A) = 0.3 and P(B) = 0.5, do the following.
Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

P(A) = 0.3 and P(B) = 0.5

Let us learn about a formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

P(A\ and\ B) = P(A \cap B) = 0

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}

(b)  P(A and B) = 0.2

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}

*************************************

1) Given

P(A) = 0.4 and P(B) = 0.2

Let us learn about a formula:

P(A\ and\ B) = P(B) \times P(A/B)  for dependent events

P(A\ and\ B) = P(A) \times P(B) for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}

(b)  P(A / B) = 0.7

Using above formula:

P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}

6 0
3 years ago
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klio [65]

Answer: -4/3

Step-by-step explanation:

\frac{-9-(-1)}{0-(-6)} \\\frac{-8}{6} = -8/6\\-8/6=-4/3

5 0
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Serga [27]

Answer:

This is a function and it's because there's only one input for every output.

Step-by-step explanation:

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5 0
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