MATHEMATICS COLLEGE

Use the given graph to determine the limit, if it exists. Find limit as x approaches three from the left of f of x. Please include an explanation in your answer, I don't really understand limits so I'll give brainliest to the best explanation.

Answers

Answer 1

Answer:

Answer:

$\displaystyle \lim_(x \to 3^-) f(x) = -1$

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_(x \to c^+) f(x)$
Left-Side Limit: $\displaystyle \lim_(x \to c^-) f(x)$

Graphical Limits

Step-by-step explanation:

As we approach 3 from the left according to the graph (follow the left graphed line), we see that we approach -1.

∴ $\displaystyle \lim_(x \to 3^-) f(x) = -1$

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

Unit: Limits

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What number is 10 times as much as 90?

Answers

Answer:

900

Step-by-step explanation:

10 times as much means *10

so we have

90*10=900

Answer:

900

Step-by-step explanation:

10 x 90 = 900

90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 = 900

A manager wants to know the ratio of men to women in the factory they are wanted to 5 men and 270 woman working as a factory what is the ratio of men to women

Answers

Answer:

1 : 54

Step-by-step explanation:

5 men to 270 women

5 (men) : 270 (women)

make the ratio as small as you can by dividing the same number on both sides.

5 : 270. both sides can be divided by 5

1 : 54

It means for every 1 man working, there are 54 women working

Final answer:

The ratio of men to women in the factory is calculated by dividing the number of men by the number of women and simplifying the result. In this case, the ratio is 1:54, meaning for every man, there are 54 women.

Explanation:

The question asks to find the ratio of men to women in a factory where there are 5 men and 270 women working. To calculate the ratio of men to women, we simply divide the number of men by the number of women.

The calculation would be as follows:

Number of men: 5
Number of women: 270
Ratio of men to women: 5 ÷ 270

However, ratios are typically expressed in simplest form. Since both 5 and 270 are divisible by 5, we divide each by 5:

5 ÷ 5 = 1
270 ÷ 5 = 54
So, the simplified ratio of men to women is 1:54.

This means that for every man in the factory, there are 54 women.

Learn more about Ratio Calculation here:

brainly.com/question/31549749

#SPJ2

Assuming the weights are in kilograms, what is the mystery weight of y Use the equation you created in part A to find thesolution
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for a fraction bar

Answers

The Answer To Your Question is 1/2

Answer:

y = 1/2 kilogram(s)

Step-by-step explanation:

Solve the equation created from the model for y:

Solve the exponential equation:

Answers

Step-by-step explanation:

2⁵ˣ = 8ˣ⁺²

2⁵ˣ = (2³)ˣ⁺²

2⁵ˣ = 2³ˣ⁺⁶

5x = 3x + 6

2x = 6

x = 3

Suppose your net income every month is $3.750. In the 20-60-20Model, how much of
your net income would be in each category?
Answer in three complete sentences to explain how much of your income is in each category.

Answers

In the 20-60-20 budgeting model, 20% of your net income should go towards saving and investing for the future. 60% should go towards your daily expenses, such as housing, utilities, food, transportation, and healthcare. The remaining 20% can be used for discretionary spending, such as entertainment, dining out, vacations, or any other non-essential expenses.

Given that your net income is $3,750 per month, you should aim to save $750 (20% of $3,750) per month, spend $2,250 (60% of $3,750) on your essential expenses, and have $750 (20% of $3,750) left over for your discretionary spending.

It's important to note that this budgeting model is a general guideline and may not work for everyone. You may need to adjust the percentages based on your personal financial situation, goals, and lifestyle.

Writing on the SAT Exam It has been found that scores on the Writing portion of the SAT (Scholastic Aptitude Test) exam are normally distributed with mean 484 and standard deviation 115. Use the normal distribution to answer the following questions. Required:
a. What is the estimated percentile for a student who scores 425 on Writing?
b. What is the approximate score for a student who is at the 87th percentile for Writing?

Answers

Answer:

a) The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.

b) The approximate score for a student who is at the 87th percentile for Writing is 613.5.

Step-by-step explanation:

Problems of normally distributed distributions are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 484, \sigma = 115$