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3 years ago

12

John threw a party for his friends. food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve an equation to fi

nd the cost per person

2 answers:

SSSSS [86.1K]3 years ago

6 0

480÷32=answer
Just use calculator

PtichkaEL [24]3 years ago

6 0

15 would be your answer.

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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(θ) + sin(10

vivado [14]

Answer:

Step-by-step explanation:

x = cos θ + sin(10θ)

y = sin θ + cos(10θ)

Take derivative with respect to θ:

dx/dθ = -sin θ + 10 cos(10θ)

dy/dθ = cos θ - 10 sin(10θ)

Divide:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))

Evaluate the derivative at θ=0:

dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)

dy/dx = 1/10

Evaluate the parametric functions at θ=0:

x = cos 0 + sin 0 = 1

y = sin 0 + cos 0 = 1

Writing the equation of the tangent line in point-slope form:

y - 1 = 1/10 (x - 1)

6 0

3 years ago

PLZ HELP WILL MARK BRAINLIEST!

goblinko [34]

Step-by-step explanation:

directrix = (1, -1)

focus = (-3, 2)

vertex = (-3, 3)

7 0

2 years ago

If you launch the cannonball from the ground instead (hi=0), what does that change in the original equation?

ikadub [295]

Answer:

the value of hi changes from 58 to 0:

h(t) = -4.9t^2 +19.8t

Step-by-step explanation:

If the initial height changes, then the term in the equation that represents that height will change. The initial height term is hi, so it changes from 58 to 0.

$h(t)=-4.9t^2+19.8t+0\\\\\boxed{h(t)=-4.9t^2+19.8t}$

7 0

2 years ago

What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

3 years ago

Look at the picture

astraxan [27]

Answer : E is the answer

Explanation: -2 < n <_ 6
Means the numbers bigger that are bigger than -2 but smaller or equal to 6
And only E matches that

3 0

3 years ago

Read 2 more answers