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3 years ago

Simplify: a.) -3^3 b.) 1/3^-3

Mathematics

1 answer:

jenyasd209 [6]3 years ago

8 0

Answer:

a.) -9

b.) -1

Step-by-step explanation:

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A flatbed truck travels 144 miles in 5 hours. A semi-trailer truck travels 327 miles in 4 hours. A tanker truck travels 589 mile

GenaCL600 [577]

Answer:

The semi-trailer truck has the fastest average speed

Step-by-step explanation:

Let's recall that the formula of the average speed is:

Average speed = Distance/Speed

Now, we can calculate the average speed for each class of vehicle, as follows:

Flatbed truck average speed = 144/5 = 28.8 miles per hour

Semi-trailer truck average speed = 327/4 = 81.75 miles per hour

Tanker truck average speed = 589/15 = 39.27 miles per hour

Which truck has the fastest average speed?

The semi-trailer truck has the fastest average speed

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3 years ago

in the diagram,transversal t intersects parallel lines m and n. Classify the given angle pair. then determine each measures.

professor190 [17]

Answer:

Step-by-step explanation:

Corresponding angles: ∠2=∠ 6 ; ∠1 = ∠5 ; ∠4 = ∠8; ∠3 =∠7

Vertically opposite angles: ∠1 = ∠3; ∠2 = 4; ∠5 = ∠7 ; ∠6 = ∠8

Interior angles : ∠4, ∠3 , ∠6, ∠7

alternate interior angles are equal: ∠3 = ∠5 ; ∠4 = ∠6

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3 years ago

What is the points for C on the graph?

qaws [65]

The points for C is (12, 10.5)

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2 years ago

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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3 years ago

I am confusion Solve: -3x = 15 *

Greeley [361]

X=-5 hope that helps

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3 years ago

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