4 cm
14 cm
5 cm
9cm

Answer:

[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} = - \infty[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4}[/tex]

Step 2: Evaluate

Recall that infinity in the denominator converges to 0. Therefore, we can focus on the first part:
[tex]\displaystyle \begin{aligned}\lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} & = -4(\infty)^4 + \frac{1}{\infty} - \frac{1}{(\infty)^3} + \frac{7}{(\infty)^4} \\& = -4(\infty)^4 \\& = -4(\infty) \\& = \boxed{- \infty} \\\end{aligned}[/tex]

∴ we have found the limit to equal negative infinity.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer: it is 205 I'm not sure if it's correct or not

Answer:

81

Step-by-step explanation:

Average | x = 81

Count | n = 5

Sum | Sum = 405

Solution:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 405 / 5

= 81

Answer:

16 percent of times are between 6 and 22

Answer: c I think. Sorry I'm wrong. Might be a.

Step-by-step explanation:

Answer:

Because The Flowers Bennie drew are independent

Answer:

0.829

Step-by-step explanation:

Answer:

i think it is diameter

Step-by-step explanation:

if you are in England

Answer:

CHORD

Step-by-step explanation:

A chord of a circle is any line segment joining two points on the circumference of the circle

(Diameter is the longest chord of a circle which passes through the center of the circle)

Since this line does not pass through the center,this is a chord

Answer:

A,C and E

Step-by-step explanation:

For every 3ml of vinegar we have 8ml of oil

This implies that

For case (A):

80ml of oil with 30ml of vinegar

dividing the amount of vinegar by 3 and multiplying the result by 8 gives 80 I.e

[tex]8ml (oil)\alpha 3ml(vinegar) \\ \frac{30ml(vinegar)}{2} = 10 \\ multiplying \: by \: 8 \: gives \: 80ml(oil)[/tex]

hence that's it

Answer:

6

Step-by-step explanation:

On the fourth day, there were b^3 beads and 216 beads on the belt, which means b^3 = 216. Taking the cube root of both sides, we have b = 6, which means there were 6 beads on the belt on the first day.

Answer:

6

Step-by-step explanation:

Answer:

To graph rational functions:

[tex]\textsf{Asymptote} \implies (x+3)^2=0 \implies x=-3[/tex]

[tex](x+3)^2\geq 0 \implies f(x) > 0 \implies \textsf{asymptote}:y=0[/tex]

[tex]\textsf{y-intercept}\implies \dfrac{1}{(0+3)^2}=\dfrac{1}{9} \implies \left(0,\dfrac{1}{9}\right)[/tex]

[tex]\textsf{Factor denominator} \implies x^2+2x-3=(x-1)(x+3)[/tex]

[tex]\textsf{Asymptote} \implies x-1=0 \implies x=1[/tex]

[tex]\textsf{Asymptote} \implies x+3=0 \implies x=-3[/tex]

[tex]\textsf{x-intercept} \implies x+1=0 \implies x=-1 \implies (-1,0)[/tex]

[tex]\textsf{y-intercept}\implies \dfrac{0+1}{0^2+2(0)-3}=-\dfrac{1}{3} \implies \left(0,-\dfrac{1}{3}\right)[/tex]

[tex]\textsf{Asymptote} \implies x-2=0 \implies x=2[/tex]

[tex]\textsf{x-intercepts} \implies x^2-9=0 \implies x=\pm 3 \implies (-3,0)\:(3,0)[/tex]

[tex]\textsf{y-intercept}\implies \dfrac{0^2-9}{0-2}=\dfrac{-9}{-2}=4.5 \implies (0,4.5)[/tex]

Answer:

2.5678 to the nearest half is 13,000

Answer: I think it would be 5 1/2 or 5.5 Fraction and decimal

Step-by-step explanation: Hope this helps! :)

Answer:

b*34

Step-by-step explanation:

an expression does not include an equal sign but an equation does

Answer:

55 km/hr

Step-by-step explanation:

speed = distance / time

distance = 99 km

time = 1.8 hours

velocity = 99 km/ 1.8 hours= 55 km/hr

since distance is to the east, the velocity is also to the east

Answer:

I would divide both sides by -3 then flip your sign since it is a multiplication equation in -3x which means you have to isolate it to find x.

Answer:

D

Step-by-step explanation:

You divide both sides by 3 and then you flip the sign.

Answer:

:)

Step-by-step explanation:

For simplicity I will substitue [tex]x[/tex] for β.

[tex]1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1[/tex]

In the first step I used the identity

[tex]sin(2x)=2sin(x)cos(x)[/tex]

And I factored out [tex](cosx-sinx)^2[/tex]

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

[tex]cos^2(x)+sin^2(x)=1[/tex]

That's it!

Answer:

24

Step-by-step explanation:

just MultiplMultiply 8 times 3 and 24

Answer:

To find this you do 5 x 0.75

0.75 represents the amount of girls that represent colored jeans

So the answer is 3.75

Step-by-step explanation:

Hope this helps!

Answer: Approximately 137.74977 square units

===================================================

Explanation:

We can use Heron's formula to find the area of a triangle when given all three sides.

First we need the semiperimeter

s = semiperimeter

s = (perimeter)/2

s = (a+b+c)/2

s = (28+28+10)/2

s = 33

Now we can compute the area of the triangle.

[tex]A = \sqrt{s(s-a)(s-b)(s-c)}\\\\A = \sqrt{33(33-28)(33-28)(33-10)}\\\\A = \sqrt{18975}\\\\A \approx 137.74977\\\\[/tex]

Answer:

10:25

Step-by-step explanation:

What do we know so far:

  *we converted the number of laps into improper fractions

        [tex]2\frac{2}{3} = \frac{8}{3}[/tex]

We want to know the number of laps in an hour

  ⇒ so we must find the rate which ⇒ lap/hour

   [tex]lap/hour =\frac{8/3laps}{4/15hours} =\frac{8}{3}*\frac{15}{4} =\frac{8}{4} *\frac{15}{3} =2*5=10laps/hour[/tex]

So William can run ⇒ 10 laps in one hour

Hope that helps!

The number of shares could he buy is 63.19 and 126.38. Then the profit gained by Bob is $764.68.

Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications.

At the time of his investment, Verizon was selling for $47 a share.

If Bob paid a $30 commission, then the number of shares could he buy if he used only his own money and did not use margin.

[tex]\rightarrow \dfrac{3000- 30}{47}\\\\\rightarrow \dfrac{2970}{47}\\\\\rightarrow 63.19[/tex]

If Bob paid a $60 commission, then the number of shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock will be

[tex]\rightarrow \dfrac{6000 - 60 }{47}\\\\\rightarrow \dfrac{5940}{47}\\\\\rightarrow 126.38[/tex]

Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. Then the profit will be

[tex]\rightarrow (126.38 \times 54 - 60) - (6000)\\\\\rightarrow (6824.68 - 60) - 6000\\\\\rightarrow 6764.68 - 6000\\\\\rightarrow \$764.68[/tex]

More about the profit link is given below.

https://brainly.com/question/15036999

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Answer:

b none of these..........

Answer:

35 degrees is the third angle's value.

Answer:

C

Step-by-step explanation:

Answer:

B. 8.35

Step-by-step explanation:

3.5 x 1.7 = 5.95

5.95 + 2.4 = 8.35

You multiply first because of PEMDAS.

P=parenthesis

E=exponents

M=multiply
D=divide
A=add
S=subtract

The cost for the contractor to have all the dirt hauled away for a foundation of 12 feet long, 9 feet wide and 6 feet deep is $720

volume of a rectangular prism = lwh

where

Therefore,

l = 12 ft

w = 9 ft

h = 6 ft

volume of the foundation = 12 × 9 × 6

volume of the foundation = 648 ft³

Therefore, the contractor pays $180 per load for the trucks remove the dirt.

648 cubic feet = 24 cubic yard

6 cubic yards = 1 truck load

24 cubic yard =

cross multiply

number of truck load = 24 / 6 = 4 truck loads

Hence,

1 truck load = $180

4 truck load =?

cross multiply

cost = 4 × 180 = $720

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Answer:

Si, es muy bueno!

Step-by-step explanation: