Sarah cut 4 yards of ribbon from a spool. How much did she cut in inches?

Four tickets to the baseball game and 4 meal tickets cost $144.

Doss [256]

Answer: $108

Step-by-step explanation:

what is 144 / 4 ? 36 = one meal ticket

what is 36 x 3 ? 108

each game ticket costs 108 dollars

6 0

1 year ago

The graph represents the atmospheric pressure, in pounds per square inch, as a function of altitude in miles above sea level.

omeli [17]

The answer is B and C. The atmospheric pressure is 14lb/in2 and As the altitude approaches sea level, the atmospheric pressure increases.

3 0

3 years ago

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Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = −0.01p2 + 9p, where p and f(p)

Nimfa-mama [501]

Answer:

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is 202500 swordfishes.

Step-by-step explanation:

Let be $f(p) = -0.01\cdot p^{2}+9\cdot p$ , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)

First Derivative Test

$f'(p) = -0.02\cdot p +9$

Let equalize the resulting expression to zero and solve afterwards:

$-0.02\cdot p + 9 = 0$

$p = 450$

Second Derivative Test

$f''(p) = -0.02$

This means that result on previous part leads to an absolute maximum.

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is:

$f(450) = -0.01\cdot (450)^{2}+9\cdot (450)$

$f(450) =2025$

The maximum sustainable yield is 202500 swordfishes.

6 0

2 years ago

Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the ro

Brrunno [24]

<u>Answer-</u>

$\boxed{\boxed{L=\dfrac{g}{4\pi^2 f^2}}}$

<u>Solution-</u>

The equation for time period of a simple pendulum is given by,

$T=2\pi \sqrt{\dfrac{L}{g}}$

Where,

T = Time period,

L = Length of the rod,

g = Acceleration due to gravity.

Frequency (f) of the pendulum is the reciprocal of its period, i.e

$f=\dfrac{1}{T}\ \Rightarrow T=\dfrac{1}{f}$

Putting the values,

$\Rightarrow \dfrac{1}{f}=2\pi \sqrt{\dfrac{L}{g}}$

$\Rightarrow (\dfrac{1}{f})^2=(2\pi \sqrt{\dfrac{L}{g}})^2$

$\Rightarrow \dfrac{1}{f^2}=4\pi^2 \dfrac{L}{g}$

$\Rightarrow L=\dfrac{g}{4\pi^2 f^2}$

8 0

2 years ago

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The formula for the surface area of a right rectangular prism is A  2lw  2hw  2lh, where l, w, and h represent the length, wi

Thepotemich [5.8K]

Answer:

The term 2lw is independent of the height

Step-by-step explanation:

This formula is usually obtained reasoning like this: the rectangular prism has 6 faces, thus the surface area is the sum of the areas of these faces.

2 faces are l×w rectangles, so their area is lw+lw=2lw. Note that we are not using the height to compute the area, then this is the independent term.

The 4 remaining rectangles involve the height as one of their dimensions, so their areas (2hw+2lh) depend on the height.

8 0

3 years ago