What is the diameter of a hemisphere with a volume of 5403 ft", to the nearest tenth of a foot?

Mathematics

1 answer:

lubasha [3.4K]2 years ago

6 0

Answer:Volume of a sphere is 4/3πr^3

Step-by-step explanation:

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Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin above the water is modeled by the equa

melomori [17]

Answer:

7 seconds

Step-by-step explanation:

Distance of the coin above the water is modeled by the equation

$y=-16x^2+96x+112$

where $x$ is time taken to cover the distance

Now equating with zero.

$0=-16x^2+96x+112\\\Rightarrow 16x^2-96x-112=0\\\Rightarrow x=\dfrac{-\left(-96\right)\pm \sqrt{\left(-96\right)^2-4\times \:16\left(-112\right)}}{2\times \:16}\\\Rightarrow x=7, -1$

So, time taken by the coin to hit the water is 7 seconds.

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3 years ago

2x-7/4 - 1-x/6=17 What is the answer?

GalinKa [24]

The answer is X=237V22

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3 years ago

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Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3

SVEN [57.7K]

Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

$f(x)=2x^2+4x-3\\\\\alpha=-\dfrac{b}{2a}=-\dfrac{4}{4}=-1\\\\$

The equation of the axis of symmetry is then : $x=-1$

$\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5$

Coordinates of vertex : $(\alpha,\beta)=(-1;-5)$

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3 years ago

Assume that women's heights are normally distributed with a mean given by , and a standard deviation given by . μ = 63.5 in σ =

tresset_1 [31]

(a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714

B] if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830

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3 years ago

the rent charged for offices in a building is proportional to the area of the office. the monthly rent for one office with an ar

sasho [114]

1,800square ft/$1,200
1.5 square ft for $1

Now to find the area of mr. halloran’s office
$18,000/12 months = $1,500 per month
$1,500•1.5 sqft = 2,250 square feet
So mr. Halloran’s office area is 2,250 square feet and he pays $1,500 per month

4 0

3 years ago