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2 years ago

The padlock for your gym locker uses a 3 number sequence to open the lock. If

Mathematics

1 answer:

marin [14]2 years ago

8 0

Answer:

9,240

Step-by-step explanation:

For the first number, there are 22 numbers available to choose from. For the second number, there are 21 numbers available, since the first number cannot be the same as the second number. And for the last number, there are 20 remaining numbers to choose from. So, there are 22*21*20=9240 possible sequences.

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What is the ratio of surface <br> area to volume?

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The ratio of surface area to volume is the amount of surface area per unit volume of a thing. This is an important value in various topics. In chemistry, this is an important value for chemical reactions. It can show reactivity of a solid material. Also, it has found some importance in biology because it shows how the cells are affected by the environment where that cell is found.<span />

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4 years ago

What is the measure of the central angle.

Nana76 [90]

Answer:

35*

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3 years ago

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Find m.<br> A) 3.4<br> B) 5.2<br> C) 7.5

garik1379 [7]

Answer:

In triangle EFG,

EG = 4.8 units

Since angle FDE = angle FED,

EF = FD = 3.5 units [sides opposite to equal angles]

FG = DE = 3 units [Given]

s = (a+b+c)/2

= (EG+EF+GF)/2

= (4.8+3.5+3)/2

= 11.3/2

now using Heron's formula,

area of EFG =

Step-by-step explanation:

8 0

2 years ago

A community theater uses the function p (d) = (-4d+40) (d−40) to model the profit (in dollars) expected in a weekend when the ti

fomenos

The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.

<h3>What is differentiation?</h3>

The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.

A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.

Then the maximum profit of the theatre will be

The function is P(d) = (− 4d + 40) (d − 40)

Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= 0\\\\\dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) &= 0\\\\(-4d+40) -4 (d-40) &= 0\\\\-8d + 200 &= 0\\\\d &= 25 \end{aligned}$

Then the checking for maximum or minimum, again differentiate, we have

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(-8d + 200) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= -8\\\\ \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) & < 0\end{aligned}$

The value is less than zero hence maximum value will occur at d = 25.

Then maximum profit will be

P(d) = (− 4×25 + 40) (25 − 40)

P(d) = (− 100 + 40) (−15)

P(d) = (− 60) (− 15)

P(d) = $ 900

More about the differentiation link is given below.

brainly.com/question/24062595

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2 years ago

Write the integer represented by H. List its opposite and absolute value.

musickatia [10]

Answer:

The integer represented by H is -2

Its opposite is 2 and the absolute value is also 2

4 0

3 years ago