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3 years ago

7

What is the missing segment in the image below

1 answer:

Anni [7]3 years ago

3 0

It should be 8 if I did it correctly

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Select all order pairs that satisfy the function y = -2x + 5

Viktor [21]

It would be (2,1)
y=-2*2+5
y=-4+5
y=1

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3 years ago

Find the slope-intercept form of the equation of the line that passes through the points AND graph

Rom4ik [11]

Answer: y= 3/5x 6.8

Step-by-step explanation: The slope for these coordinates is 3/5 because the difference between 5 and 8 is 3, and the difference between -3 and 5 is 5. The y intercept is 6.8 because only with this y intercept the line goes through the points.

3 0

3 years ago

Please help! Write down the quadratic equation whose roots are x = -7 and x = 1, and the coefficient of x^2 is 1.

garik1379 [7]

Answer:

x²+6x-7

Step-by-step explanation:

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3 0

3 years ago

Sand is leaking through a small hole at the bottom of a conical funnel at the rate of 12cm3/s . if the radius of the funnel is 8

Bezzdna [24]

Answer:

h ≅ 16.29 cm

$\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}$

Step-by-step explanation:

From the conical funnel;

Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)

Then;

$tan \theta= \dfrac{r}{h}$

$tan \theta= \dfrac{8}{16}$

$tan \theta= \dfrac{1}{2}$

∴

$\dfrac{r}{h} = \dfrac{1}{2}$

$r = \dfrac{h}{2}$

The volume (V) of the cone is expressed as:

$V = \dfrac{1}{3}\pi r ^2 h$

$V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h$

$V = \dfrac{\pi h^3}{3\times 4}$

$\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}$

$\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}$

Given that:

$\dfrac{dv}{dt} = 12 \pi$

Then:

$-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}$

$- \int 48 \ dt = \int h^2 \ dh$

$\dfrac{h^3}{3}= -48 t + c$

$At \ t = 0 \ ; h = 0$

∴

$\dfrac{0^3}{3} = -48(0) + c$

c = 0

So;

$\dfrac{h^3}{3}= -48 t + 0$

$\dfrac{h^3}{3}= -48 t$

t = 30

$\implies h = (-48(30))^{1/3}$

h = 16.2865

h ≅ 16.29 cm

Thus;

from $-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}$

$\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}$

$\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }$

$\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }$

$\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}$

7 0

3 years ago

What is 4/5 written as a percent?<br> A. 0.8%<br> B. 8%<br> C. 80%<br> D. 800%

Nookie1986 [14]

Hi,

100/5 = 20
20 x 4 = 80

The answer is 80%

Hope this helps! :)

4 0

3 years ago

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