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6 days ago

Which ideas about functions do you think might be the most helpful to you in your day-to-day planning?

1 answer:

3 0

It assists in determining the grocery costs for items such as fruits. Functions, as mathematical expressions, reveal relationships between one or more variables. For instance, if a young girl intends to purchase 20 oranges, the price can be expressed using a function where y represents the total cost, 20 stands for the orange count, and x indicates the cost per orange, assumed to be $0.99. Consequently, the total cost amounts to $19.8 (20*0.99).

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Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice, 2 parts sugar, and 8 parts water. She juices 2

Zina [12022]

To make lemonade following the recipe, the amounts required are 12 tablespoons of sugar and 3 cups of water (which equals 48 tablespoons).

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23 days ago

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Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals

Svet_ta [12349]

Response:

433.44

Detailed breakdown:

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1 month ago

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C) Your parents have been advised to save 5% of their income for your college education

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48,948 * 5% = 2447.4

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1 month ago

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If the volume of a cube is increased by a factor of 10, by what factor does the surface area per unit volume change

tester [11953]

Answer:

(1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cubic shape with volume V, the edge length is defined as...

s = ∛V

and the surface area is given by...

A = 6s² = 6V^(2/3)

The area-to-volume ratio is therefore...

r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

When the volume V is increased by a factor of 10, the new area-to-volume ratio becomes...

r2 = 6(10V)^(-1/3)

Consequently, the change factor for the ratio is...

r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The change in surface area per unit volume results in a factor of (∛100)/10.

___

Example

For a cube with side length 2, the corresponding volume equals 2³ = 8, with a surface area of 6·2² = 24. The resulting area-to-volume ratio is 24/8 = 3.

The area-to-volume ratio changed by a factor of (0.3∛100)/3 = (∛100)/10, as previously noted.

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1 month ago

A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how

Leona [12178]

Lacking information on the proportion, we will assume the sample proportion is 0.50

thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)

The calculation for the margin of error when estimating population proportions follows:

$E=z* \sqrt{ \frac{p(1-p)}{n} } \\ \\ 
 \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} } \\ \\ 
( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\ \\ 
n= p(1-p)* (\frac{z}{E})^{2} \\ \\ 
n=271$

Consequently, 271 students need to be part of the sample.

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25 days ago