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3 years ago

Which equation represents a line with a slope of -6/5 and a y-intercept of 1?

Mathematics

1 answer:

Crazy boy [7]3 years ago

3 0

Answer:

y = -6/5x + 1

Step-by-step explanation:

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2 years ago

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2 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

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The surface area of the balloon is

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and differentiating gives

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

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3 years ago

Diego boils 10 cups of water. how many cups of oats should he add into the water

storchak [24]

Answer:

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3 years ago

Read 2 more answers

Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form

juin [17]

Answer:

Equation of line best fits the scatter plot is y = $-\frac{30}{7} x + 108$

Step-by-step explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m = $\frac{y_2 - y_1}{x_2 - x_1}$ where ( $x_2,y_2$ ) and ( $x_1,y_1$ ) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = $\frac{y_2 - y_1}{x_2 - x_1}$ = $-\frac{30}{7}$

Therefore equation of line best fits the scatter plot is y = $-\frac{30}{7} x + 108$

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3 years ago