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sdas [7]
2 years ago
10

Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline

as x approaches 0? 0 4 64 128
Mathematics
1 answer:
Otrada [13]2 years ago
4 0

The limit of the given function if \lim_{x \to 0} f(x)=4 is 64

<h3>Limit of a function</h3>

Given the following limit of a function expressed as;

\lim_{x \to 0} f(x)=4

We are to determine the value of the function

\frac{1}{4}  \lim_{x \to 0} [f(x)]^4


This can also be expressed as

\frac{1}{4}  \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64

Hence the limit of the given function if \lim_{x \to 0} f(x)=4 is 64

Learn more on limit of a function here: brainly.com/question/23935467

#SPJ1

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The nth term of a sequence is given by 12 - 5n.<br> Write down the first 3 terms of the sequence.
zysi [14]

Answer:

              \bold{a_1=7\,,\quad a_2=2\,,\quad a_3=-3}

Step-by-step explanation:

                                      a_n=12-5n\\\\\\a_1=12-5\cdot1=12-5=7\\\\a_2=12-5\cdot2=12-10=2\\\\a_3=12-5\cdot3=12-15=-3

6 0
3 years ago
In math class help!!!!!
Pani-rosa [81]

i need more than this

8 0
3 years ago
Alice had $4.80 left after spending 40 percent of her money on lunch, 20 percent of what was left after lunch on parking, and 50
Vitek1552 [10]

Answer:

$20

Step-by-step explanation:

We are given the percentages of how much she spent on each purchase but we need the percentage of what is left after each purchase. We calculate this by subtracting each percentage from 100% like so.

100% - 40% = 60%

100% - 20% = 80%

100% - 50% = 50%

Next we need to do is change the percentages into decimal format. We do this by moving the decimal 2 digits to the left. Therefore the percentages wasted are the following

60.0%   ⇔   0.60

80.0%   ⇔   0.80

50.0%   ⇔   0.50

Now that we have the percentages in decimal format we can calculate the total price (t) by retracing the spending process. The spending process was following.

t_{2} = 0.60t

t_{3} = 0.80t_{2}

4.80 = 0.50t_{3}

So we have to retrace by solving for t_{3}, then t_{2}, and finally (t)

4.80 = 0.50t_{3} ... divide both sides by 0.50

9.60 = t_{3}

9.60 = 0.80t_{2} .... divide both sides by 0.20

12 = t_{2}

12 = 0.60t  .... divide both sides by 0.60

20 = t

Finally we can see that the Total amount of money that Alice had before lunch was $20

8 0
3 years ago
The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta
snow_lady [41]

Answer:

The rectangle:  <u>L = 40 yards.   W = 5 yards</u>

The square: The length and width are both <u>5 yards</u>.

Step-by-step explanation:

<u>Let L and W be the length and width of the rectangle. </u>

<u>Let l and w be the length and width of the square.</u>

Area for each is:

Rectangle:  L*W

Square:       l*w

We are told that <u>L*W + l*w = 225 yards^2</u>

We are also told that

<u>L = 8W </u>

and that

<u>l = W</u>

Since the sides of a square are all equal, w is also W:  <u>w=W</u>

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2  = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W <u>,</u> <u>L = 40 yards.   W = 5 yards</u> for the rectangle.

The square:  l=W, so <u>l = 5 yards, and thus w=5 yards</u>

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0
2 years ago
40 POINTS
Hatshy [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
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