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4 years ago

When adding 3 and -9, how do you know that the sun is negative?

1 answer:

5 0

Since the absolute value of the negative number is greater than the positive number, the sum is negative.

Hope this helps!

You might be interested in

A circle has an area of 75 square centimeters. Which answer is closest to the measure of its radius?

REY [17]

Answer:

5 √(3/π) centimeters .

Step-by-step explanation:

I think that's the exact answer

6 0

3 years ago

Read 2 more answers

Consider the net of a triangular prism where each unit on the coordinate plane represents five feet. If a can of spray paint cov

Lera25 [3.4K]

Answer:

B) 7 cans

Step-by-step explanation:

First task is to determine how many square units we have.

With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.

The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2. Both have a base of 1 unit, and a height of 1 unit... so (1 * 1) / 2 = 1/2 for each triangle. Together, they occupy 1 unit.

So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate. Each unit is 5 feet. So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.

Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).

7 0

3 years ago

Let c be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. find the exact length of c from t

Mandarinka [93]

Parameterize the intersection by setting $x(t)=t$ , so that

$x^2=2y\iff y=\dfrac{x^2}2\implies y(t)=\dfrac{t^2}2$
$3z=xy\iff z=\dfrac{xy}3\implies z(t)=\dfrac{t^3}6$

The length of the path $C$ is then given by the line integral along $C$ ,

$\displaystyle\int_C\mathrm dS$

where $\mathrm dS=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$ . We have

$\dfrac{\mathrm dx}{\mathrm dt}=1$
$\dfrac{\mathrm dy}{\mathrm dt}=t$
$\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{t^2}2$

and so the line integral is

$\displaystyle\int_{t=0}^{t=2}\sqrt{1^2+t^2+\dfrac{t^4}4}\,\mathrm dt$

This result is fortuitous, since we can write

$1+t^2+\dfrac{t^4}4=\dfrac14(t^4+4t^2+4)=\dfrac{(t^2+2)^2}4=\left(\dfrac{t^2+2}2\right)^2$

and so the integral reduces to

$\displaystyle\int_{t=0}^{t=2}\frac{t^2+2}2\,\mathrm dt=\dfrac{10}3$

3 0

3 years ago

If a train travels 420 miles in 24 hours, what is its unit rate of travel?

BigorU [14]

17.5mph

420÷24= 175

Hope this helped you- have a good day bro cya)

8 0

2 years ago

Read 2 more answers

70+ 5x < 30+15x I know that x =5 But can someone help me with a real world problem ?

Mamont248 [21]

Remember, you can do anything to an equation as long as you do it to both sides
but, for inequalities, if you multiply or divide both sides by a negative, you flip the sign

70+5x<30+15x
minus 5x both sides
70<30+10x
minus 30 both sides
40<10x
divide both sides by 10
4<x

x>4 is the solution set

a real world problem could be

company A charges a flat rate of $70 dollars to rent their car and also charge a rate of $5 per mile driven

company B charges a flat rate of $30 dollars to rent the car and also charge $15 per mile

how many miles do you have to drive for you to pay more for company B than A?

7 0

3 years ago