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3 years ago

Is the relationship in the table linear, exponential, or neither? Explain how you know.

Mathematics

1 answer:

Ivahew [28]3 years ago

3 0

A- It's LINEAR: every 2 other weeks, her savings increase by a CONSTANT amount of $12 (per 2 weeks) or $6/week

B- After the 2 first week she had $20 less the $12 (baby sitting for 2 weeks) =$8. This is the amount she saved prior to babysitting , then each week she added $6 (or $12 in 2 weeks)
If Y is the total amount of saving after a period of time T & $6 is the rate per week & she started with $8, then the equation becomes Y= 6 T +8, where T is the number of weeks

C- the slope is the coefficient of T that means 6
As for Y intercept or where the function intercepts the Y axis it happens for T=0 & in this case Y intercept = 8
Hope it's clear

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Answer:

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Step-by-step explanation:

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3 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

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2 years ago

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Answer:

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Answer:

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