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Hunter-Best [27]

1 year ago

8

Identify the type of function graphed to the right. linear exponential other For an increase of 1 in the x-value, what is the in

crease in the y-value? graph

2 answers:

8090 [49]1 year ago

8 0

Answer:

Linear

For an increase of 1 in the x-value, what is the increase in the y-value? 2

kicyunya [14]1 year ago

8 0

Answer: linear

Step-by-step explanation:

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The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of

Cloud [144]

Answer:

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

Step-by-step explanation:

The filling time of a gas tank can be given by a first order function in this format:

$F(t) = V - r*t$

In which $F(t)$ is the current amount of fuel in the tank(in L), $V$ is the volume of the tank(in L), $r$ is the discharge rate of the tank(in L/s) and t is the time in seconds.

Finding the values of the parameters:

The tank is completly empty, so $F(t) = 0$ .

The volume of the tank is 14 gallons. However, the problem states that the volume of the tank is measured in liters.

Each gallon has 3.78L.

So $V = 14*3.78 = 53L$

The discharge rate for the gas is 38.0 l/min. However, the problem states that the discharge rate is in L/s. So, to find the value of r, we solve the following rule of three.

38 L - 60s

r L - 1s

$60r = 38$

$r = \frac{38}{60}$

$r = 0.63$

Solving the equation:

$F(t) = V - r*t$

$0 = 53 - 0.63t$

$0.63t = 53$

$t = \frac{53}{0.63}$

$t = 84.12s$

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

6 0

1 year ago

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be t

gayaneshka [121]

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

4 0

1 year ago

Tammy has planted a small, young tree in her yard. To allow for the tree’s growth, she needs 15 feet in all directions around th

astraxan [27]

Answer:

First, remember that a circle of radius R centered in the point (a, b) can be written as:

(x - a)^2 + (y - b)^2 = R^2

Suppose that we can model the yard as a rectangular coordinate axis.

And the tree is planted in the point (a, b)

If we want to have 15 feet in all directions around the base of the tree (15 ft around the point (a, b))

The section that must remain unplanted is:

(x - a)^2 + (y - b)^2 ≤ R^2

Where the ≤ symbol is used because all the interior of the circle must remain unplanted (border included)

7 0

2 years ago

Luke’s soccer team won 12 games and lost 5 games. Select all the expressions that show the ratio of wins to losses. Asap plz

almond37 [142]

Answer:

We don't have any options to choose from, but here are some general ones:

12:5

12 / 5

41% of games Luke lost.

59% of games Luke won.

Step-by-step explanation:

4 0

2 years ago

A construction explosion has an intensity I of 1.25 x 10–4 W/m2. Find the loudness of the sound in decibels if W/m2. Round to th

bezimeni [28]

We solve this problem by using the decibels formula which is expressed as:

dB = 10 x log (Isig/Iref)

where dB is decibels, Isig is the intensity of the signal and Iref is the intentsity of the softest sound the human ear can hear which has a value of 10^-12.

We solve as follows:
dB = 10 x log (<span>1.25 x 10–4 </span>/ 10^-12 ) = 80.97 decibels

Therefore, the correct answer is option A, 81 decibels.

7 0

1 year ago

Read 2 more answers