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3 years ago

The equation of the line which passes through the point (0,5) and has a gradient of 4 is

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:

y = 4x + 5

Step-by-step explanation:

slope = m = 4

y-intercept = b = 5

y = mx + b

y = 4x + 5

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Derivative of y=(3x+5)^3

UkoKoshka [18]

$\\ \sf\longmapsto \dfrac{dy}{dt}$

$\\ \sf\longmapsto \dfrac{d}{dt}(3x+5)^3$

$\\ \sf\longmapsto \{3(3x+5)\}^2$

$\\ \sf\longmapsto (9x+15)^2$

$\\ \sf\longmapsto 9x^2+2(9x)(15)+(15)^2$

$\\ \sf\longmapsto 81x^2+270x+225$

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3 years ago

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My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

Theresa is planning on making a fleece blanket for her nephew. She learns that the fabric she wants to use is $7.99 per yard. Fi

Anastaziya [24]

Answer:

$31.96

Step-by-step explanation:

(7.99)×(4)= $31.96

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3 years ago

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Is this tangent to the circle?

erica [24]

Hello,

Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°

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3 years ago

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Evaluate -5x+8 when x=3

dolphi86 [110]

Answer:

-7

Step-by-step explanation:

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3 years ago

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