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3 years ago

Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter DNE.)

Mathematics

1 answer:

Leviafan [203]3 years ago

8 0

Answer:

+infinity, or if there is no such choice, DNE.

Step-by-step explanation:

4x^2 − 3x^2 + x − 3

simplifies to

x^2+x-3

As x-> infinity,

both x^2 and x approach inifinity, therefore

the limit approaches +infinity, or does not exist (DNE)

Generally, it is more indicative to say +infinity or -infinitite, while reserving DNE (does not exist) for incoherent one-sided limits.

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mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw ma

Aneli [31]

First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: $r= \frac{c^2}{8m} + \frac{m}{2}$
where
$c$ is the length of the chord
$m$ is the middle ordinate
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so $c=52$ and $m=6$ . Lets replace those values in our formula:
$r= \frac{52^2}{8(6)} + \frac{6}{2}$
$r= \frac{2704}{48} +3$
$r= \frac{169}{3} +3$
$r= \frac{178}{3}$

Next, to find the minimum speed, we are going to use the formula: $s= \sqrt{15fr}$
where
$f$ is <span>drag factor
</span> $r$ is the radius
We know form our problem that the drag factor is 0.2, so $f=0.2$ . We also know from our previous calculation that the radius is $\frac{178}{3}$ , so $r= \frac{178}{3}$ . Lets replace those values in our formula:
$s= \sqrt{(15)(0.2)( \frac{178}{3}) }$
$s= \sqrt{178}$
$s=13.34$ mph

We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour.

8 0

3 years ago

A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can

mars1129 [50]

Work seriously and you will be eable to answer

5 0

2 years ago

Line g is shown on the graph.

bogdanovich [222]

The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.

<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>

Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:

Slope = m = change in y / change in x

y-intercept = b (the value of y when x = 0).

The coordinates of the two points on line g is given as:

(-3, 2) = (x1, y1)

(0, 5) = (x2, y2).

Find the slope (m) of the line:

Slope (m) = (5 - 2)/(0 - (-3))

Slope (m) = 3/3

Slope (m) = 1.

Y-intercept (b) = 5

Substitute m = 1 and = 5 into y = mx + b:

y = x + 5

The equation of the line in slope-intercept form is: y = x + 5.

Learn more about the slope-intercept equation on:

brainly.com/question/1884491

#SPJ1

5 0

1 year ago

A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?

icang [17]

Answer:

109

Step-by-step explanation:

Hope this helped :)

6 0

2 years ago

Read 2 more answers

I WILL GIVE 60 POINTS IF CORRECT PLEASE ANSWER *photo below*

Andrews [41]

Answer:

10. 27 shoes

11. No, both are 18, they are equal

12. 96 dogs

13. 125 students

14. 600 students

15. 50 tulips

16. 70 cars

17. Rory divided the percentage by the number (#/%=#)

Step-by-step explanation:

To find a percentage of somethin, multiply the number by the percent

(54 shoes x 50% (0.50) = 27 shoes)

To find the original number, divide the new number by the percentage

(25 students/20% (0.20) = 125 students)

7 0

2 years ago