09.04 Continuity at a point

Find the indicated limit, if it exists. (2 points)

Answer:

39.12

Step-by-step explanation:

One of the properties of a rectangle is that every angle in it is congruent. This means that when a diagonal is drawn (a segment connecting opposite corners), a right triangle is formed. One can apply the Pythagorean theorem, this theorem states the following;

[tex]a^2 + b^2 = c^2[/tex],

Where (a) and (b) are the legs, or segments adjacent (next to) the right angle, and (c) is the hypotenuse (the side opposite the right angle).

The legs of the right triangle formed by the diagonal in a rectangle will be the sides of the rectangle. Using this knowledge, one can state the following,

[tex]a^2 = b^2 = c^2\\\\21^2 + 33^2 = c^2[/tex]

Simplify,

[tex]441 + 1089 = c^2\\\\1530 = c^2[/tex]

Inverse operations,

[tex]1530 = c^2\\\\39.1152=c[/tex]

Answer:

i think its 2

D

according to me

Answer:

A

Step-by-step explanation:

use the second formula since x = 2

[tex] {2}^{3} - 9 \times {2}^{2} + 27(2) - 25 = 8 - 36 + 54 - 25 = 1[/tex]

Answer: The slope is 0

Answer:

50.75

Step-by-step explanation:

You Just have to multiply length - width - and height - and you're good to go!

Answer:

(2,-9)

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Collected bills: 18 * 10= 180

1/6 of 180 = 30

180-30=150

Answer:

15 ten dollar bills, 150 dollars

Step-by-step explanation:

1/6 of 18 is 3, so he gave 3 bills to the theater and kept the other 15 for himself

Answer:

3.605 ft is the answer.

Step-by-step explanation:

Applying Pythagoras theorem,

a^2 + b^2 = c^2

2^2 + 3^2 = c^2

4 + 9 = c^2

13 = c^2

3.605 = c

therefore, the answer is 3.605.

:)

Answer:

the answer is a

Step-by-step explanation:

division equation is 1÷14

Answer:

2x²+6x-9=0

Step-by-step explanation:

2x(3+x)=9

6x+2x²=9

2x²+6x-9=0

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

when a number is over 5, it goes up

when a number is under 5, it goes down

52 is under 55, so it goes back down to 50

Answer:

L is (2,4) M (3,1,) N(0,4)

Step-by-step explanation:

L 0+2=2 so x is 2

L 1+3=4 so y is 4

M 1+2=3 so x is 3

M -2+3=1 so y is 1

N -2+2=0 so x is 0

N 1+3=4 so y is 4

Answer:

3( -8 + 1) = 3( -8) + 3(1)

Step-by-step explanation:

That is distributive property

Answer:

3(-8+1)=(3(-8)+(3(1)

Step-by-step explanation:

In this case, distributive property is when a number or you could call it integer, multiplies with another set of number inside parentheses ().

Your answer was wrong, because 6 x 7=42, and that's not equal to the other side of numbers.

The top one is addition, so that's a no.

The second one's not exactly in the form you want it to be for it to be the same as the left side.

The third one shows distributive property in two ways, which give you the same result, so that would be the correct answer.

Hope this helped!

If you understood, and my answer helped, please mark me brainliest.

On Monday Mark ran for a distance of  [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of  [tex]\frac{106}{15}[/tex] miles.

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

It is given that on Monday , Mark ran [tex]1\frac{1}{3}[/tex] miles to school and then [tex]2\frac{1}{5}[/tex] miles to his grandmother's house.

This meant the total distance he ran on Monday can be calculated by adding both the distances he travelled on the particular day i.e.,

=  [tex]1\frac{1}{3}[/tex] miles + [tex]2\frac{1}{5}[/tex] miles

= [tex]\frac{4}{3}[/tex] miles + [tex]\frac{11}{5}[/tex] miles

Now , to add two fractions we need to equal denominator.

= [tex]\frac{20+33}{15}[/tex]

= [tex]\frac{53}{15}[/tex] miles

Now , on Tuesday he ran twice as much as Monday. So , the distance he ran on Tuesday is equal to :

= 2 × [tex]\frac{53}{15}[/tex] miles

= [tex]\frac{106}{15}[/tex] miles

Therefore , on Monday Mark ran for a distance of  [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of  [tex]\frac{106}{15}[/tex] miles.

Learn more about fractions here :

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Answer:

D

Step-by-step explanation:

Answer:

cost of materials - the value of all things needed to create the good or service

opportunity cost - the value of a product given up to produce or obtain another product

fixed cost - costs that are not affected by the level of production

sunk cost - past costs that cannot be recovered

marginal cost - change in total cost that arises when the quantity produced changes by one unit

Step-by-step explanation:

Answer:

cost of materials: the value of all things needed to create the good or service

opportunity cost: the value of a product given up to produce or obtain another product

fixed cost: costs that are not affected by the level of production

sunk cost: past costs that cannot be recovered

marginal cost: change in total cost that arises when the quantity produced changes by one unit

Answer:

6. 141

7. 28

Step-by-step explanation:

Time to rewrite the expressions!

6. (8 + 45/9)² - 14(2)

First, we need to solve what's in the parentheses.

45/9 is 5. So 8 + 5 is 13. 13² - 14(2)

Now, the exponent. 13² = 169 (nice)

169 - 14(2) Multiply 14 and 2...

169 - 28 = 141

Now to rewrite 7.

12 + 36/2 - 3(1)²

Exponents first...

3² = 9 (the 1 isn't included 'cause 3 multiplied by 1 is still 3.)

12 + 36/2 - 12

Divide... 36/2 = 18

12 + 18 - 2

30 - 2

28

Answer:

Step-by-step explanation:

f(x)=g(x)

x²-13x+40=x-5

x²-14x+45=0

Answer:

See answers below

Step-by-step explanation:

Given the following ratios. We are to express them in their simplest forms

15:12

= 15/12

= (3*5)/(3*4)

= 3/3 * 5/4

= 5/4

b) 42:1

= 42/1

= 42

Given that  2:x :: 4:6​

2/x = 4/6

Cross multiply

4x = 2*6

4x = 12

x = 12/4

x = 3

Hence the value of x is 3

Answer: The initial elevation of the plane was 8.75 miles.

Step-by-step explanation:

Suppose that the initial elevation of the plane is E.

Then the plane descends 3.5 miles.

Then the new elevation of the plane will be:

E - 3.5 miles.

Now, we know that the new elevation of the plane is 5.25 miles, then:

E - 3.5 miles = 5.25 miles.

Now we need to solve this for E.

To solve this, we can add the same number to both sides of the equation, so we can add 3.5 miles to both sides to get:

(E - 3.5 miles) + 3.5 miles = 5.25 miles + 3.5 miles

E + (3.5 miles - 3.5 miles) = 5.25 miles + 3.5 miles

E = 8.75 miles.

The initial elevation of the plane was 8.75 miles.

Answer:

Step-by-step explanation:

Distributive property can be defined as :

a(b+c)= (a*b) + (a*c)                            

So, the given expression 3xy+6yz can be written as :                                    

1st way :                                          

= 3xy+6yz

2nd way :                

= 3xy+6yz    

Answer:

The second ball

Step-by-step explanation:

If you cared to do simple math the percent comes to ...

75%

64%

60%

50%

Answer:

$2.50

Step-by-step explanation:

if 3 books=0.75 lbs.

then...

1 book= 0.25

so...

0.25x10=...

10 books= $2.50

Answer:

1. All real numbers

2. All real numbers

3.x>=0

4.y>=-6

Step-by-step explanation:

The domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a functions g(x) and k(x)

g(x) = x - 6

The domain of the function:

D: x ∈ (-∞, ∞) or

All real numbers.

k(x) = √x

The domain of the function k(x) is x ≥ 0

The range of the function k(x) is y ≥ 0

The sum of the functions:

= g(x) + k(x)

= x - 6 + √x

= x + √x - 6

The domain of the function is x ≥ 0

The range of the function is y ≥ -6

Thus, the domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.

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Answer:

A = 27, b = 81.7856, c = 118. 723

Step-by-step explanation:

I used the Law of Sine, so if sin isnt what you need for this problem, my answer isn't what you need.

Answer:

12 cm

Step-by-step explanation:

diameter=2×radius=2×6=12 cm

Answer:

6+6=12cm

Step-by-step explanation:

diameter=2r

diameter=2*6

diameter =12cm

Answer:

i dont know what the problem is

Step-by-step explanation:

Answer:

Distributive Property

Step-by-step explanation:

Since your distrubuting the 6 through the equation.

Answer:

i cant see your attach image