A store owner has 31.2 pounds of candy. If he splits the candy equally into 6 boxes, how many pounds of candy will each box contain?

Answer:

[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Constant]:                                                                                             [tex]\displaystyle \lim_{x \to c} b = b[/tex]

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

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

When you graph the function, the left-hand and right-hand limit does equal the same.

Step 1: Define

[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]

Step 2: Find Limit

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

Unit: Limits

Answer:

x= -3

y= 2

Hope it helps :D

Answer:

its A

Step-by-step explanation:

on edge  2021

Answer:

i think there's zero solutions

how many hours do they work? Please be more spesific

Answer:

The answer is 760

Step-by-step explanation:

If you make $9.50 an hour with 8 hours a day and 40 hours a week you multiply the 9.50 with 40 to get 380. Now, you have the total for one week you can double it to get the pay for two weeks which come out to 760.

Answer:

1280

Hope this helped :D

Answer: 125% increase

Step-by-step explanation: She won 200 dollars last week and now she won 450. If more, less divides. So 450 is more than 200.

This would give you 450/200. You're trying to find percentage so you multiply by a hundred. 450/200 * 100. This will give you 125%

Answer:

Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.

Step-by-step explanation:

(self-explanatory)

I hope this helps, have a nice day.

Answer:

5.7

Step-by-step explanation:

7^2- 4^2= 33

[tex]\sqrt{33}[/tex]= 5.7

Answer:

It's the first graph

Step-by-step explanation:

Answer:

Let's add the total skittles to get our outcome:

25 in total.

5(red skittles)/25(total skittles in all)

7(yellow skittles)/24(total skittles in all NOW since you took a red skittle)

So therefore your expression is:

5/25 x 7/24

Answer:

(1,4)

Step-by-step explanation:

Answer:

Compound interest = Rs 1,575 (Approx.)

Step-by-step explanation:

Given:

Amount invested = R.s 6,500

Rate of interest = 7.5% per annum

Number of year = 3 year

Find:

Amount of compound interest

Computation:

Compound interest = P[(1+r)ⁿ - 1]

Compound interest = 6500[(1+7.5%)³ - 1]

Compound interest = 6500[(1+0.075)³ - 1]

Compound interest = 6500[(1.075)³ - 1]

Compound interest = 6500[1.2423 - 1]

Compound interest = 6500[0.2423]

Compound interest = 1574.95

Compound interest = Rs 1,575 (Approx.)

Complete Question

A cylinder is eight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?

Answer:

160.74 cubic inches

Step-by-step explanation:

Step 1

Find the volume of cylinder

= πr²h

A cylinder is eight inches high with a radius of three inches.

Height = 8 inches

Radius = 3 inches

Volume of the cylinder = π × 3² × 8

= 226.19 cubic inches

Step 2

Find the volume of sphere

= 4/3 π r³

It contains a ball with a diameter of five inches.

Diameter = Radius /2 = 5/2 = 2.5 inches

Volume of the Sphere = 4/3 × π × 2.5³

= 65.45 cubic inches

Step 3

What volume is left unoccupied in the cylinder?

This is calculated as:

Volume of Cylinder - Volume of sphere

= 226.19 cubic inches - 65.45 cubic inches

= 160.74 cubic inches

Therefore, the volume is left unoccupied in the cylinder is 160.74 cubic inches

Answer:

$450

Step-by-step explanation:

that's the right answer

Answer:

5^3

Step-by-step explanation:

First, find 5 to the 8th power:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390, 625

Then, find 5 to the 5th power:

5 x 5 x 5 x 5 x 5 = 3,125.

Finally, divided the two numbers:

390, 625/3,125 = 125

Now, right this as a power:

5^3

Answer:

the answer is 33

Step-by-step explanation:

for every 2 Illustrations there are 3 texts meaning if there is 22 Illustrations there would be 33 texts

Answer:

33 text

Step-by-step explanation:

Text : illustrations

3                 2

For every 3 text, there are 2 illustrations

We have 22 illustrations so we need to multiply by 11

Text : illustrations

3*11            2*11

33                  22

We need 33 text

Answer:

32.9 inches

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base = 49

c =  hypotenuse = diagonal = 59

l² + 49² = 59²

l² = 59² - 49²

3481 - 2401 = 1080

find the square root

32.9 in

Answer:

n = 2.43 moles

Step-by-step explanation:

Given mass, m = 97.37 grams

The mass of Argon is, M = 39.948 g/mol

We know that,

No. of moles = given mass/molar mass

[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]

Hence, there are 2.43 moles of Argon.

Answer:

A subject and a predicate

Step-by-step explanation:

Have a good day :)

Answer:

5/4

Step-by-step explanation:

see steps below:)

Answer:

15.2 cm, 130 m

Step-by-step explanation:

1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);

sin(61) = XY/17.4; multiply both sides by 17.4 to find XY

17.4sin(61) = 15.2 cm

2.

This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.

The hypotenuse of the triangle is the 170 m string.

The angle of inclination is 50 degrees.

The height of the triangle will be opposite of the angle of inclination.

Therefore,

sin(50) = height/170 (opposite/hypotenuse)

170sin(50) = 130.2 meters

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

Answer:

2) -1

Step-by-step explanation:

Answer:

the answer is 2. -1...............

Answer:

The answer is option c) 56.5 ft²

Step-by-step explanation:

Area of shaded region =

Area of Big Circle - ( Area of 1st small circle+ Area of 2nd small circle )

Area of 1st small circle:

π x r²

r = 3ft

Area =  3.14 x 3 x 3 => 28.26 ft²

Area of 2st small circle:

π x r²

r = 3ft

Area =  3.14 x 3 x 3 => 28.26 ft²

Area of big circle:

π x r²

r = 6ft ( ∵ Diameter of 1st small circle = 6 and since 2 small circles have equal area, their diameter should be the radius of big circle )

Area =  3.14 x 6 x  6 => 113.04 ft²

Area of shaded region => 113.04 - (28.26 + 28.26 )

=> 113.04 - 56.52

=> 56.52 ft²

Answer:

M = 6

N= 7

Step-by-step explanation:

M + 7 = 3

M= 6

6 + 7 = 13, so we get 3 and carry 1

Now 1 + 4 + N = 12

1 + 4 + 7  = 12

So N = 7

Therefore,

46 + 77 = 123

Answer:

Relative frequency of selecting a 2 = 8/50 = 0.16

Relative frequency of selecting a 3 = 14/50 = 0.28

Step-by-step explanation:

When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.

Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.

Out of these 50 times, the outcome "2" appears 8 times.

Then the relative frequency of selecting the number 2 is:

f(2) = 8/50 = 0.16

And of these 50 experiments, the outcome "3" appears 14 times.

Then the relative frequency of selecting the number 3 is:

f(3) = 14/50  = 0.28

Answer:

24

Step-by-step explanation:

You need to plug in 3 for all of the x-values

That looks like 2(3)^2 + 5(3) - 9

Then if you simplify it is 2(9) + 15 - 9

Then simplify one last time and you get a final answer of 24

[tex]_____________________________________[/tex]

[tex] \\ \tt ( - \frac{ 5 \sqrt{97} }{4} ,0),( - \frac{5 + \sqrt{97} }{4} ,0)[/tex]

[tex]\tt(0, - 9)[/tex]

[tex]_____________________________________[/tex]

Answer:

226

Step-by-step explanation:

Area of rectangle:

x+6=17

x=11

11+6=17

11+3=14

17×14=238

Area of triangle:

[tex] \frac{1}{2} \times b \times h[/tex]

Use phytagoras theorem to find the base of the triangle:

c²=a²+b²

5²=4²+b²

25=16+b²

b²=25-16

b²=9

b=√9

b=3 (only the half)

b=6 (the whole base)

[tex] \frac{1}{2} \times 6 \times 4[/tex]

3×4

12

Shades region:

238-12

=226

Answer:

150 grados

30 grados

Step-by-step explanation:

Sea x la medida del primer ángulo

Sea la medida del segundo ángulo y

Según la pregunta;

x + y = 180 -------- (1)

De la segunda oración;

x = 0,2 años -------- (2)

Sustituyendo (2) en (1)

0,2 años + y = 180

1,2 años = 180

y = 180 / 1,2

y = 150 grados

Pero;

x = 0,2 años

Entonces

x = 0,2 (150)

x = 30 grados

Por eso;

y = 150 grados

x = 30 grados