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Mandarinka [93]
3 years ago
10

Need help with this work ASAP

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0

Answer:

option 2: 15

Step-by-step explanation:

ΔBOA is a right angled triangle.

By Pythagoras theorem,

{oa}^{2}  =  {bo}^{2}  +  {ba}^{2}

{oa}^{2}  =  { {9}^{2} } +  {12}^{2}

{oa}^{2}  = 81 + 144

OA = √225

OA = 15

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8^3*8^-5*8^y=1/8^2, what is the value of y in the product of powers below?
Aleks04 [339]

For this case we have that by definition of multiplication of powers of the same base, the same base is placed and the exponents are added:

a ^ n * a ^ m = a ^ {n + m}

So, we can rewrite the given expression as:

8 ^ {3-5 + y} = \frac {1} {8 ^ 2}\\8 ^ {- 2 + y} = \frac {1} {8 ^ 2}

So, if y = 0:

8 ^ {- 2} = \frac {1} {8 ^ 2}\\\frac {1} {8 ^ 2} = \frac {1} {8 ^ 2}

Equality is met!

Answer:

y = 0

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3 years ago
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antiseptic1488 [7]
4) 62.8 cm^2
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goldenfox [79]

Answer:

1/6

Step-by-step explanation:

We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation

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divide both sides by 9300

1/2 = (1/64)^t

First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because

(1/2)^6 = 64

take the 6th root of both sides

(1/2) = (64)^(1/6)

. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds

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3 0
3 years ago
What is the base 8 representation in the number 600
MAVERICK [17]

Answer:

<h2>1130</h2>

Step-by-step explanation:

1*(8^3) + 1*(8^2) + 3*(8^1) + 0*(8^0) = 600

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I really don't get what this means <br> -0.1 = -10c
baherus [9]

Answer:

C is variable. -10 times c is equal to -0.1

Step-by-step explanation:

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