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3 years ago

WILL GIVE BRAINLYIST DUE IN 2 HOURS

Mathematics

1 answer:

Alja [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Isn’t this mathematics not science

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When I solve (1 + 5n^4 + n^2) + (8n^4 - 4 - n^2), is the answer -3 + 13n^4 + n^2 or just -3 + 13n^4

kap26 [50]

Answer:

Just -3 + 13n^4

Step-by-step explanation:

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3 years ago

Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9

balu736 [363]

Given:

The function is

$f(x)=\left(\dfrac{1}{3}\right)^x$

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

$f(x)=\left(\dfrac{1}{3}\right)^x$

At x=-2,

$f(-2)=\left(\dfrac{1}{3}\right)^{-2}$

$a=\left(3\right)^{2}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$a=9$

At x=-1,

$f(-1)=\left(\dfrac{1}{3}\right)^{-1}$

$b=\left(3\right)^{1}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$b=3$

At x=0,

$f(0)=\left(\dfrac{1}{3}\right)^{0}$

$c=1$ $\left[\because a^0=1, a\neq 0\right]$

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

8 0

3 years ago

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Which pair of line segments are perpendicular in a quadrilateral

Gnesinka [82]

A quadtriatel is said to contain perpendicular diagnols if four go 90 degree angles are formed at the intersection of these lines

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3 years ago

The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

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3 years ago

A cylindrical well has a radius of 10 feet and a height of 15 feet.what volume of water will it take to fill in the well?

horsena [70]

The volume of the well...
V ≈ 4712.39

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3 years ago

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