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3 years ago

3^2•3^2= please help me ASAP

Mathematics

2 answers:

Nonamiya [84]3 years ago

6 0

According to order of operations rules, exponentiation must be done first. Thus, we have

(3^2)*(3^2) = (9)(9) = 81.

Alternatively, note that there's only one base (3) here, even tho' it shows up more than once. So, 3^2*3^2 = 3^(2+2) = 3^4 = 81.

harkovskaia [24]3 years ago

6 0

Your answer will be 81

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The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?

MAVERICK [17]

Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.

So Volume = x³. So if we are given the volume, we can the length by doing the cube root.

∛125 = 5
∛216 = 6

Surface area of a cube = 6x². So now we plug both of these measurements into the formula.

For 5:

SA = 6(5)² = 6(25) = 150

For 6:

SA = 6(6)² = 6(36) = 216

The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36

8 0

3 years ago

Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams

Nataliya [291]

Answer:

a) 0.2318

b) 0.2609

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of broilers weigh between 1150 and 1308 grams?

For 1150 grams

z = 1150 - 1387/192

= -1.23438

Probability value from Z-Table:

P(x = 1150) = 0.10853

For 1308 grams

z = 1308 - 1387/192

= -0.41146

Probability value from Z-Table:

P(x = 1308) = 0.34037

Proportion of broilers weigh between 1150 and 1308 grams is:

P(x = 1308) - P(x = 1150)

0.34037 - 0.10853

= 0.23184

≈ 0.2318

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

1510 - 1387/192

= 0.64063

Probabilty value from Z-Table:

P(x<1510) = 0.73912

P(x>1510) = 1 - P(x<1510) = 0.26088

≈ 0.2609

1610- 1387/192

= 1.16146

Probability value from Z-Table:

P(x<1610) = 0.87727

P(x>1610) = 1 - P(x<1610) = 0.12273

≈ 0.1227

No it is not unusual for a broiler to weigh more than 1610 grams

8 0

3 years ago

Identify the middle line for the function: f (t) = 5sec(3t − π) + 1

sergiy2304 [10]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

(t) = 0 gives
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative. And so, s(t) is maximum for t = 2.5.
Maximum height is S = -12(2.5)^2 + 60(2.5) +8 = 233ft

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3 years ago

What is the equation of the line that passes through the point (−1,−3) and has a slope of 3?

Tanya [424]

Answer:

y= 3x

Step-by-step explanation:

The slope is just read. It is 3. It is the value of m in the general equation.

y = mx + b

y = 3x + b

To find b, use (-1,-3)

x = -1

y = -3 Substitute into the general equation

-3 = 3(-1) + b Simplify the right side

-3 = -3 + b Subtract -3 from both sides

b = 0

Answer: y = 3x

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2 years ago

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lisabon 2012 [21]

Answer:

Step-by-step explanation:

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3 years ago

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