can u plz help me it’s for a test!! PLZ ANSWER 1 &2

The limit as g(x) approaches 11 doesn't exist.

[tex]\lim_{x \to 11} g(x) = DNE[/tex]

It looks like you are working with the following piecewise defined function:

[tex]g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.[/tex]

There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)[/tex]

if and only if this is true, then:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)[/tex]

if that condition isn't met, then the limit doesn't exist.

So let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{-}} g(x) = -9[/tex]

This means that as x approaches 11 from the left, the function will return a value close to -9

Now, let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{+}} g(x) = 7[/tex]

This means that as x approaches 11 from the right, the function will return a value close to 7

You can better visualize this in the graph of the function which I attached to this answer.

Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.

For more information on this topic, you can go to the following link:

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Answer:

D) DNE

Step-by-step explanation:

edge 2021

Answer:

-10m-9

Step-by-step explanation:

open the bracket by multiplication

-3 × 4m= -12m

-3 × 3= - 9

-12m - 9 +2m

arrange like terms together

-12m +2m -9

-10m -9

Answer:

tell ur gf good luck because what this is

also no hablo español

Answer:

x-bar, the average between all the values, x1+x2+x3/3

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

[tex]\frac{3}{4}(120)[/tex]

Find common factors between 4 and 120 to simplify, so 4.

[tex]\frac{3}{1} (30)[/tex]

Now multiple across to get 90.

Answer:

x=-2,-3

Step-by-step explanation:

x^2+5x+6=0

(x+2)(x+3)=0

x+2=0

x=-2

x+3=0

x=-3

Answer:

[tex]36[/tex]

Step-by-step explanation:

1) Simplify 12 ÷ 2 to 6.

[tex]6 \times 6[/tex]

2) Simplify.

[tex]36[/tex]

therefor, the answer is 36.

Answer:

Rolling a sum of 8 from two dice is more likely

Step-by-step explanation:

To obtain which is more likely, we could obtain the individual probabilities of both events.

TWO DICE :

Sample space for 2 die rolls = total possible outcomes = 6² = 36

Number of favorable outcomes = sum of 8 from 2 rolls = 5

Probability = number of favorable outcomes / total possible outcomes

P(sum of 8) = 5 / 36 = 0.1388

THREE DICE :

Total possible outcomes = 6³ = 216

Number of favorable outcomes = 21

P(sum of 8) = 21 / 216 = 0.097222

0.1388 > 0.097222

Answer: 4.44

HOPE THIS HELPS

Answer:B

Step-by-step explanation: i have the same test

Answer:

[tex]V=0.0623\ inch^3[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1/6 inch

The height of the cylinder, h = 5/7 inch

We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :

[tex]V=\pi r^2 h\\\\=3.14\times (\dfrac{1}{6})^2\times \dfrac{5}{7}\\\\V=0.0623\ inch^3[/tex]

So, the volume of the cylinder is equal to [tex]0.0623\ inch^3[/tex].

Answer:

C. Heat always flow from warmer to cooler substances.

Answer:

13.93

Step-by-step explanation:

use the Pythagorean theorem

Answer:

Dog Clients = 770

Cat Clients = 154

Step-by-step explanation:

1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.

2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154

Answer:

I think it's 64 in

I hope it's helps you

Recall the ideal gas law:

P V = n R T

where

P = pressure

V = volume

n = number of gas molecules

R = ideal gas constant

T = temperature

If both n and T are fixed, then n R T is a constant quantity, so for two pressure-volume pairs (P₁, V₁) and (P₂, V₂), you have

P₁ V₁ = P₂ V₂

(since both are equal to n R T )

Solve for V₂ :

V₂ = P₁ V₁ / P₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL

Answer:

26.55

Step-by-step explanation:

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

use the b^2 equation

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

b^2 = 31 squared - 16 squared.

b^2 = 705

b=[tex]\sqrt{705}[/tex]

b=26.5518361

Answer:

D. 62 inches

Step-by-step explanation:

the object is symmetrical across z, so the lengths on the other side will be the same as x and y

the perimeter would just be 2x + 2y = 2(12) + 2(19) = 62 inches

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

The answer is going to be B

10% of $200,000 = $20,000

Answer:

D. The sum of the residuals is zero.

Step-by-step explanation:

The relation between length and weight of pineapples is observed. The observation should be independent and the values must be normally distributed in order to find the confidence interval for slope of population regression line.

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

9514 1404 393

Answer:

  x = 5

  FD = 22

Step-by-step explanation:

The products of the segment lengths on the same chord are the same.

  8×15 = 12×(3x -5)

  10 = 3x -5 . . . . . . . divide by 12 (we use this value to find FD)

  15 = 3x

  5 = x

__

FD = (3x -5) +12 = 10 +12

FD = 22

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Therefore, the length of the angle be [tex]x=38.65[/tex] degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be [tex]x[/tex].

Consider Δ[tex]ADF[/tex]

which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].

So,

tan(x)=Perpendicular / Base

i.e.,

[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]

Hence, the length of the angle be [tex]x=38.65[/tex] degree.

To know more about the trigonometry

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Answer:

Hi

Step-by-step explanation:

I have the same question, did you figure it out?

Answer:

The answer is: B.)32.0–32.1 ounces

Step-by-step explanation:

Got it right on my test

The true statement is The median weight for both types is between 32.0 and 32.1 ounces.

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study.

Given:

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags.

The median weight for brand B is less than the median weight of brand A.

So, if both brands weigh 32 ounces then the median weight for both types is between 32.0 and 32.1 ounces.

Learn more about data here:

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