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3 years ago

Express on a number line all possible values of x.

Mathematics

1 answer:

mel-nik [20]3 years ago

4 0

Si En el sistema de referencia XOY (1 u = 1km) la trayectoria de una avioneta es rectilínea y pasa por
(3;−1)
B
(
3
;
−
1
)
. Halla la ecuación general de la trayectoria sabiendo que ésta hace un ángulo de inclinación de
37°
37
°

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Choose the list that shows these numbers in order from smallest to largest.

svetlana [45]

Answer:

0.3, 0.32, 0.321, 0.345

Step-by-step explanation:

The maximum number of decimals shown in the series is 3.

Therefore, let's rewrite all the numbers with three decimal places.

0.32, 0.321, 0.3, 0.345 can be written as

0.320, 0.321, 0.300, 0.345

Now, we can easily compare the numbers and we can conclude:

0.300 < 0.320 < 0.321 < 0.345

Hence, the smallest to largest order is:

0.3, 0.32, 0.321, 0.345

4 0

3 years ago

Consider the tangent line to the curve y = 6 sin(x) at the point (π/6, 3). (a) Find a unit vector that is parallel to the tangen

mojhsa [17]

Answer:

$y=\frac{\pi }{6}+5.196(x-3)$

Step-by-step explanation:

We have given the equation y = 6 sin (x)

On differentiating both side $\frac{dy}{dx}=m=6cosx$

As it passes through the point $(\frac{\pi }{6},3)$

So $\frac{dy}{dx}=6cos\frac{\pi }{6}=5.196$

Now the unit vector is parallel to the tangent so m will be 5.196

This passes through the point $(\frac{\pi }{6},3)$

So unit vector will be $y-\frac{\pi }{6}=5.196(x-3)$

$y=\frac{\pi }{6}+5.196(x-3)$

5 0

3 years ago

Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distan

Umnica [9.8K]

Answer:

Step-by-step explanation:

You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.

x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.

Marc = Angelo

2x + 4 = x + 7

x = 3

In 3 weeks each runner will run 10 miles for the week.

4 0

4 years ago

Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to a

Alik [6]

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
Available time = 360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * Wide
Volume of the pool = 2 m * 10 m * 8 m
Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal
160 m^3 ⇒ x

And we calculate:

$x = \frac{160 m^{3}*264.172 gal }{1m^{3} }$ (We cancel the unit "m^3)
x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool = $\frac{42267.52gal}{130\frac{gal}{min} }$ (We cancel the unit "gallon")
Time to drain the pool = 325.1347692 minutes
Time to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

7 0

3 years ago

The area of a rectangle is 51 square inches. If the width of the rectangle is 6 inches, what is the length?

Assoli18 [71]

The length of the rectangle is 8.5 inches.

3 0

3 years ago

Read 2 more answers