In the expression 2 ^3, the 3 is known as the

What is the volume of the planter that measures 60l, 60w. 60h?

andre [41]

The volume of the planter that measures 60 l, 60 w. 60 h (D) 216000 cm³

Explanation:

Length, l = 60 cm

Width, w = 60 cm

Height, h = 60 cm

Volume, v = ?

We know,

Volume = length ×width × height

Substitute the values in the formula.

$v = 60 X 60 X 60\\\\v = 216,000 cm^3$

Therefore, the volume of the planter is 216,000 cm³

8 0

3 years ago

Find the equation of the tangent line. y=(9-x^2)^1/3 at (1,2)

Schach [20]

Get the derivative:

y = (9 - x²)¹ʹ³

dy/dx = 1/3 (9 - x²)⁻²ʹ³ d/dx [9 - x²]

dy/dx = 1/3 (9 - x²)⁻²ʹ³ (-2x)

dy/dx = -2/3 x (9 - x²)⁻²ʹ³

Evaluate it at x = 1 :

dy/dx (1) = -2/3 • 8⁻²ʹ³

Since 8 = 2³, we have

8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4

Then the tangent line has equation

y - 2 = 1/4 (x - 1) → y = 1/4 x + 7/4

7 0

2 years ago

Is -5 a solution to the equation 6x + 5 = 5x + 2x? Explain?

poizon [28]

Answer:

no it is 5

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable. x = 5

8 0

2 years ago

Read 2 more answers

I also need help with this question: One day at 3:00 a.m., the temperature was -13F in Kodiak, Alaska. At 10:00 a.m., the temper

insens350 [35]

Over 7 hours the temperature changed 35 degrees
35/7 gives you 5 degrees per hour

6 0

3 years ago

Read 2 more answers

Let (-7, 2) be a point on the terminal side of 0.

nekit [7.7K]

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three trigonometric functions associated with the terminal side of an angle. The following definitions are used:

Sine

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

Secant

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (2)

Tangent

$\tan \theta = \frac{y}{x}$ (3)

If we know that x = - 7 and y = 2, then the exact values of the three trigonometric functions:

Sine

$\sin \theta = \frac{2}{\sqrt{53}}$

Secant

$\sec \theta = -\frac{\sqrt{53}}{7}$

Tangent

$\tan \theta = -\frac{2}{7}$

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.

To learn more on trigonometric functions: brainly.com/question/6904750

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5 0

1 year ago