I don’t really understand how to do this

1

Step-by-step explanation:

[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}[/tex]

Let

[tex]f(x)= \sin x[/tex]

[tex]g(x)=x[/tex]

We are going to use L'Hopital's Rule here that states

[tex]\displaystyle \lim_{x \to c}\dfrac{f(x)}{g(x)}=\lim_{x \to c}\dfrac{f'(x)}{g'(x)}[/tex]

We know that

[tex]f'(x) = \cos x[/tex] and [tex]g'(x)=1[/tex]

so

[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}=\lim_{x \to 0}\dfrac{\cos x}{1}=1[/tex]

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]

833π is about 2616.95

Rounded to the nearest whole number it is 2617

Answer:

[tex]y = 0.42x+55[/tex]

Step-by-step explanation:

Given

Let:

[tex]x \to miles[/tex]

[tex]y \to amount[/tex]

[tex](x_1,y_1) = (138,112.96)[/tex] ---- Bobs'

[tex](x_2,y_2) = (209,142.78)[/tex] --- Carl

Required

The equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{142.78 - 112.96}{209 - 138}[/tex]

[tex]m = \frac{29.82}{71}[/tex]

[tex]m = 0.42[/tex]

The equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 0.42(x - 138) + 112.96[/tex]

[tex]y = 0.42x - 57.96 + 112.96[/tex]

[tex]y = 0.42x+55[/tex]

Step-by-step explanation:

The length of the original cube is 5 inches.

Answer:

The bottom one.

Step-by-step explanation:

Answer:

Loss 25 Games & Win 57 Games

Step-by-step explanation:

According to question,we have

The Los Angeles Lakers won 7 more than twice as many games as they lost.

Total Win + Total Loss = Total Games Played

2L + 7 + L = 82

3L = 82-7

3L = 75 ⇔ L = 25

Thus, Total Loss=25 Games & Thus Total Win = 57 Games

Answer:

Option A.

Step-by-step explanation:

If I have two variables b and c and a constant of 10. I can write that problem like this:

10b = c

For example, my factory today will make 20 books:

10×20 = c

$ 200 = c

Answer:

1.3

Step-by-step explanation:

Raise/run = slope aka distance in this situation

8/6 = 1.3

Answer:

10 units

Step-by-step explanation:

use the distance formula as thought in school

I hope it's helpful for u but I am not sure my answer is right !

Answer:

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]

Answer:

D. 1/(x+1)(x-2)

Step-by-step explanation:

i looked it up on a simplifier :)

Step-by-step explanation:

The given equation is :

[tex](2x-1)^2=8[/tex]

or

[tex](2x-1)=\sqrt{8}\\\\2x-1=\pm 2\sqrt2\\\\2x=\pm 2\sqrt2 +1\\\\x=\dfrac{2\sqrt2 +1}{2}\\\\x=\pm (\sqrt 2+\dfrac{1}{2})\\\\or\\\\x=\sqrt2+\dfrac{1}{2},-\sqrt2-\dfrac{1}{2}[/tex]

Hence, this is the required solution.

Answer: c

Step-by-step explanation: edge 2021

Answer:

2310 ways

Step-by-step explanation:

We are given;

Number of cans = 11

Number of cans of corn = 4

Number of cans of peas = 1

Number of cans of beets = 6

Following the rule of combination and permutations and applying it to this question, we have;

Number of ways = 11!/(6! × 1! × 4!)

Number of ways = 2310 ways

Answer:

(3x-2)^2+8= 9x^2-12x+12

Answer: 3

Step-by-step explanation:

Pick 2 coordinates that are on the line, for example, (-2,0) and (-1,3)

Slope = Rise/Run = (3-0)/(-1-(-2)) = 3

Answer:

1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110

Step-by-step explanation:

its the answer

Answer:

Step-by-step explanation:

P = 4 + 6 + (3y - 2)      Remove the brackets

P = 10 + 3y - 2            Combine

P = 8 + 3y

Note 3y must be less than 8. That's because 2 sides of any triangle must be larger than the 3rd side or else you don't have a triangle.

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

Explanation:

To factor this, we need to find two numbers that

Through trial and error, you would find that the two numbers are -2 and -7

-2*(-7) = 14

-2 + (-7) = -9

So that's why the given trinomial factors to (y-2)(y-7)

You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.

Answer:

Function

Step-by-step explanation:

This is a function

Each input goes to only one output

Answer: 11%

Step-by-step explanation:

Since the formula for interest is:

I = PRT

where.

P = 1200

I = 99

T = 0.75

I = PRT

R = I/PT

R = 99/(1200 × 0.75)

R = 99/900

R = 11%

Therefore, the rate is 11%

Find the perimeter or circumference and area of each figure. Round to the nearest tenth.

The circumference of a circle with radius r is given by C = 2πr. The radius of the circle is 4 in.

Substitute 4 for r.

[tex]\sf{C=2πr}[/tex]

[tex]\sf{ \: \: \: \: =2π(4)}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{darkviolet}{25.1}}}[/tex]

The circumference of the circle is about 25.1 in.

The area of a circle with radius r is given by A = πr².

Substitute 4 for r.

[tex]\sf{A = πr²}[/tex]

[tex]\sf{ \: \: \: \: = π(4)²}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{magenta}{50.3}}}[/tex]

The area of the circle is about 50.3 in².

#Hope it helps!

(ノ^_^)ノ

Answer:

C ,D , E just follow it . thank me later if its right

Answer:

E

Step-by-step explanation:

(10+7)(50+1)

=17×51

=867

Answer:

The answer is A

Step-by-step explanation:

Starting from -3 in the Y values of option A. If you subtract three from each value, you will get the next value to the right.

Answer:

Someone already answered it but I won't let 50 points go to waste. !!!!!

Step-by-step explanation:

Answer:

Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.

Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.

Step 3: Write the answer using interval notation.