Joeph drove 27 mile in 1 1/3 hour. If he drove at a contant rate, how far did he travel in one hour?

Answers

Answer 1

The number of miles Joseph traveled in one hour is calculated to be 20.25 miles

Since Joseph drove 27 miles in 1 1/3 hours, we first convert 1 1/3 into simpler form as follows;

1 1/3 hours = 4/3 hours

Now we can determine how far he traveled in one hour if he drove at a constant rate by cross multiplication as follows;

4/3 hours = 27 miles

1 hour = x

Here x represents the number of miles traveled in one hour;

1 × 27 = 4/3x

27 = 4/3x

x = 27/(4/3)

x = 27 × 3/4

x = 20.25 miles

Hence Joseph travels 20.25 miles in one hour.

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Related Questions

help me out? thank you so much whoever does :))

help me out? thank you so much whoever does :))

Answers

Answer:

\(86\)

Step-by-step explanation:

The remaining part forms 360. so

\(233 + 41 + x = 360\)

\(274 + x = 360\)

\(x = 86\)

Answer:

if you’re looking for b,

B = 86

sorry if wrong

Maurice is responsible for leasing computers for his office. Last year he leased 12 laptops and this year plans to lease 22 laptops. What is the percentage change in laptop orders? Round to the nearest percent.

Answers

The percentage change in laptop orders is 83%

Percentage is a measure of frequency. It the fraction of an amount expressed as a number out of hundred. Percentages are represented with the sign %.

In order to determine the percentage change, the first step is to determine the change in laptop leased.

Change in laptops leased = 22 - 12 = 10 laptops

This means that the number of laptops leased increased by 10

The second step is to express the change laptops leased  as a fraction of the laptop leased last year and multiply by 100

10/12 x 100 = 83%

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Need help ASAP TYSM

Need help ASAP TYSM

Answers

Answer:

Step-by-step explanation:

1/2

HELP ME IM GETTING TIMED

HELP ME IM GETTING TIMED

Answers

Answer:

3/4 0.75 75%

Good luck!

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

8.25 pounds

bsnNMNsjsjshs

suppose y ∼ normal(0, σ2) with unkown variance σ2. (a) find the distribution of q(y, σ) = y 2 σ2 . is q a pivotal quantity?

Answers

(a) If Y ~ Normal(0, σ^2), then Y^2 ~ Chi-Squared(1) distribution. Therefore, q(Y, σ) = Y^2/σ^2 ~ Chi-Squared(1)/1 = Chi-Squared(1) distribution.

(b) Yes, q(Y, σ) is a pivotal quantity because its distribution does not depend on the unknown parameter σ.

(a) If Y ~ N(0, σ^2), then Y^2/σ^2 ~ χ^2(1) distribution. To see this, we can use the definition of the chi-squared distribution as the sum of squared standard normal variables. Let Z ~ N(0,1), then Y/σ = Z/√(σ^2) ~ N(0,1), and (Y/σ)^2 = Z^2/σ^2 ~ χ^2(1).

(b) Yes, q(y,σ) is a pivotal quantity. A pivotal quantity is a function of the data and the unknown parameters whose distribution does not depend on the unknown parameters. In this case, q(y,σ) = Y^2/σ^2 ~ χ^2(1), which does not depend on the unknown parameter σ^2. Therefore, q(y,σ) is a pivotal quantity.

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Need help solving the blanks. No material was provided

Need help solving the blanks. No material was provided

Answers

Answer:

kdwnoioinfeoawfbcaeiuhvaeoihvaeoidvajae

Write as an algebraic expression.
14 fewer than the product of 3 and a number

Answers

Answer:

3 x X - 14

Step-by-step explanation:

Is your algebra expression.

Answer:

3x-14

Step-by-step explanation:

Product of 3 and number is 3*x

For " 14 fewer than.." we simply subtract 14.

So we get 3x-14

10)
Which expression represents how many years are in x months?
A
)
12x
B)
12 + x
12
12
D)
х

10)Which expression represents how many years are in x months?A)12xB)12 + x1212D)

Answers

Answer:

C . x/12

Step-by-step explanation:

marcus is 5 years older than his brother john. five years ago he was 2 times older than john. how old is each now

Answers

John is 10 years old and Marcus is 15 years old.

Let the present age of John be j years.

Present age of Marcus = (j + 5) years

Five years ago: Age of John = (j - 5) years

Age of Marcus = ((j + 5) - 5) years = j years

According to the given statement, five years ago he was 2 times older than John. i.e.

j = 2(j - 5)

j = 10

So, present age of John = j = 10 years

Present age of Marcus = (j + 5) = 15 years

Thus, John is 10 years old and Marcus is 15 years old.

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a cartoon having 50 oranges weight 7.5 kg how much will thousand oranges weight​

Answers

Answer:

150kg

Step-by-step explanation:

50 oranges ----- 7.5 kg

1000 -------   x

50 * x = 1000 * 7.5

x = 7500 / 50

= 750/5

=150

A cell phone company sells about 500 phones each week when it charges $75 per phone. It sells about 20 more phones per week for each$1 decrease in price. The company's revenue is the product of the number of phones sold and the price of each phone. What price should the company charge to maximize its revenue?

Answers

The company can maximize its revenue by charging the price of $73 per phone.

Changing the price and monitoring how many phones are sold in reaction to the price change allows for trial-and-error in determining accuracy.

With 520 phones sold each week at $73, the corporation will make a total of $38,160 in revenue. There are 20 more phones than when it was charging $75, thus the business will make an additional $1,500 every week.

Due to the increased number of phones sold, the corporation may increase revenue by merely $2 by lowering the price, leading to an increase in both total revenue and profit.

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Wilbur landed his plane, causing it to descend at a rate of 0.2, point, 2 kilometers per minute. He reached the ground after 15 minutes.

Answers

Wilbur's plane descended at a rate of 0.2, point, 2 kilometers per minute. After 15 minutes, he reached the ground. To find the total distance traveled, we can use the formula: distance = rate x time. In this case, the distance traveled by the plane can be calculated by multiplying the rate of descent (0.2, point, 2 km/min) by the time taken to descend (15 minutes). Therefore, the total distance traveled by Wilbur's plane is 3.3 kilometers.

The formula distance = rate x time is commonly used in physics to calculate the distance covered by an object moving at a constant rate. In this case, the rate of descent of Wilbur's plane was given as 0.2, point, 2 km/min, and the time taken to descend was 15 minutes. Plugging these values into the formula, we get the total distance traveled as 3.3 kilometers.

Wilbur traveled a total of 3.3 kilometers during his plane's descent at a rate of 0.2, point, 2 km/min, which took him 15 minutes. The formula distance = rate x time can be used to calculate the distance traveled by an object moving at a constant rate.

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Here is a rule that can be used to build a sequence of numbers once a starting number is chosen: Each number is two times three less than the previous number.

a. Starting with the number 0, build a sequence of 5 numbers.
b. Starting with the number 3, build a sequence of 5 numbers.
c. Can you choose a starting point so that the first 5 numbers in your sequence are all positive? Explain your reasoning.​

Answers

Answer:

a. 0, -6, -18, -21, -90

b. 3, 0, -6, -18, -42

c. A starting point of any number ≥ 6 will result in a sequence of positive values

Step-by-step explanation:

Here the sequence is governed by the rule:
\(\sf a_{n} = 2(a_{n-1} - 3)\)
\(\textsf {where $a_n$ is the nth term and $a_{n-1}$ is the previous term}}\)

1) Starting with a₁ = 0 we get
a₂ = 2(a₁ - 3) = 2(0 - 3) = -6
a₃ = 2(a₂ - 3) = 2(-6 -3) = 2(-9) = -18
a₄ = 2(a3 - 3) = 2(-18 - 3) = 2(-21) = -42
a₅ = 2(a₄ - 3) = 2(-42- 3) = 2(-45) = -90

So the first 5 numbers in the sequence starting with 0 are:
0, -6, -18, -21, -90

2) I will approach this slightly differently

We have the relationship:
\(\sf a_{n} = 2(a_{n-1} - 3)\)

Expanding the brackets we get
\(\sf a_{n} = 2a_{n-1} - 6\)

We have a₁ = 3
a₂ = 2(a₁) - 6 = 2(3) - 6 = 6 - 6 = 0
a₃ = 2(a₂) - 6 = 2(0) - 6 = -6
a₄ = 2(a₃) - 6 = 2(-6) - 6 = -18
a₅ = 2(a₄ ) - 6 = 2(-18) - 6 = -42

The sequence starting with 3 is:
3, 0, -6, -18, -42

Both methods work exactly the same, some students find expanding the brackets easier to deal with

c. We can see that as a₁ increases, the number of negative numbers decreases by 2. So, in order for all numbers to be positive (> 0) we should start with a sufficiently large number so that all numbers are positive

The smallest such number is 6.
When a₁ = 6, the sequence is all 6s because
a₂ = 2(6) - 6 = 12 - 6 = 6

So the next number is a₃ = 12(6) - 6 = 6 and so on

So any starting point ≥ 6 will yield positive values. At 5 the sequence would be: 5, 4, 2, -2, -10 so starting point of 5 will not work

What’s the answer to this?

Whats the answer to this?

Answers

Answer:

256

Step-by-step explanation:

First..

8*2=16

Now

16 (squared)=256

Answer:

The answer is 32

Step-by-step explanation:

8 x 2 is 16

16 is 2 is 32

pls give me brainliest, I show work

Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.

Fill in the blanks below in order to justify whether or not the mapping shownrepresents a function.

Answers

Basically, it is not a function because 1 domain (in this case, 5) can not be connected to two different ranges(1 and -2). Each domain must only connect to one range.

HELP PLEASE
will give brainliest to correct answer

HELP PLEASEwill give brainliest to correct answer

Answers

Answer:

use ph0t03ath its answers every math question

which expression is most appropriate for randomly choosing a day of the week? a. rand() % 8; b. rand() % 1; c. rand() % 7; d. rand() % 6;

Answers

rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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Find the area of the shape shown below.

Find the area of the shape shown below.

Answers

Answer:

a+b/2 *h

2+4/2=3

3h=3(2)

=6

Area=6

Hope this helps

Step-by-step explanation:

I need help ASAP! It's urgent.. PLISSSSS ​

I need help ASAP! It's urgent.. PLISSSSS

Answers

Answer:

hope this helps you

I need help ASAP! It's urgent.. PLISSSSS

What is 2+2?
If you answer correctly you will get a brainiest

Answers

Answer:

It is 22 duhhhhhhhhhhhhhhhhhhh

Answer:

4

Step-by-step explanation:

Haha thank you for this

in the past, 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent. an independent research firm has been charged with conducting a sample survey to obtain more current information. (a) what sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03? use a 95% confidence level.

Answers

With a margin of error of 0.03 and 95% confidence level the sample size 22 is needed.

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

π ± z√π(1-π)/n

In which

z is the z score that has a p value of 1-a/2 .

The margin of error is :

M = z√π(1-π)/n

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent,

This means that π = 0.16

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which M = 0.03. So

M = z√π(1-π)/n

0.03 = z√(0.16×0.84/n)

0.03√n = z√0.16×0.84

√n = (z√0.16×0.84)/0.03

(√n)² = [(z√0.16×0.84)/0.03]²

n = [(z√0.16×0.84)/0.03]²,  in which z is related to the confidence level.

95% confidence level :

So a =0.05, z is the value of Z that has a p value of 1 - 0.05/2 = 0.975, so Z = 1.96.

n = [(z√0.16×0.84)/0.03]²

n = [(1.96√0.16×0.84)/0.03]²

n = 21.95

Therefore, a sample size of 22 is needed.

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Putting forecast errors into perspective is best done using : a.linear decision rules. b. hindsight. c. exponential smoothing. d. MAPE. e.MAD.

Answers

Putting forecast errors into perspective is best done using MAPE and MAD. These are two common measures of forecast accuracy that can help evaluate the performance of a forecasting model and put forecast errors into perspective.

MAPE (Mean Absolute Percentage Error) measures the average absolute percentage difference between actual and forecasted values. This metric is useful because it expresses forecast accuracy in relative terms, allowing us to compare forecast errors across different data sets and time periods. However, it can be sensitive to extreme values and can be misleading when dealing with small or negative actual values. MAD (Mean Absolute Deviation) measures the average absolute difference between actual and forecasted values, without regard for direction. This metric is more robust to extreme values and is easier to interpret than MAPE, making it a popular choice for evaluating forecast accuracy. Using MAPE and MAD, we can identify areas where the forecasting model is performing well and where it needs improvement. By putting forecast errors into perspective, we can make informed decisions about how to adjust our forecasting approach to improve accuracy and reliability.

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According to company records, the probability that a dishwasher will need repairs during its first six years is 0.09. This is an example of which type of probability?
A) Public Probability
B) Empirical Probability
C)Subjective Probability
D) Classical Probability

Answers

The probability that a dishwasher will need repairs during its first six years, as given in the company records, is an example of classical probability. Correct option is D.

Classical probability is a type of probability that is based on assumptions and theoretical considerations. It is also called theoretical probability. It is used to determine the probability of an event occurring in a situation where all possible outcomes are known and equally likely.

In this case, the company records provide the probability of the event (dishwasher needing repairs during its first six years), and it is assumed that all dishwashers have an equal chance of needing repairs.

In contrast, empirical probability is based on actual observations or data collected from past events. It involves calculating the probability of an event based on the frequency with which it has occurred in the past.

Subjective probability, on the other hand, is based on personal judgment or beliefs about the likelihood of an event occurring. It is often used in situations where there is a lack of data or uncertainty. Public probability is not a recognized type of probability. Therefore, correct option is D.

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Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Answers

The prime factorization of the number 21 is:

21 = 3*7

How to write the prime factorization?

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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In his free time, Gary spends 9 hours per week on the Internet and 9 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?

Answers

Approximately 51.43%

Gary has 5 hours of free time per day, which is equivalent to 35 hours of free time per week (since there are 7 days in a week).

The total time Gary spends on the Internet and playing video games per week is 9 + 9 = 18 hours.

To find the percentage of his free time spent on these activities, we divide the total time spent on them by the total free time available, then multiply by 100:

(18 / 35) x 100 = 51.43%

So approximately 51.43% of Gary's free time is spent on the Internet and playing video games.

In anova, by dividing the mean square between groups by the mean square within groups, a(n) _____ statistic is computed.group of answer choices

Answers

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic components from random factors. Systematic influences, but not random ones, statistically affect the data set that is being presented.

What are some instances where ANOVA has been applied?

An ANOVA demonstrates the link between the dependent variable and the level of the independent variable. For illustration: In order to determine whether there is a difference in the number of hours of sleep each night as your independent variable, you divide the groups into low, medium, and high social media use categories.

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3) Find the linearization L(x) of the function at a. f(x)= cosx, a= pi/2

Answers

Therefore, the linearization of f(x) = cos(x) at a = π/2 is L(x) = π/2 - x.

The linearization of a function f(x) at a point a is given by:

L(x) = f(a) + f'(a)(x - a)

where f'(a) denotes the derivative of f(x) evaluated at x = a.

In this case, we have:

f(x) = cos(x)

a = π/2

First, let's find f'(x):

f'(x) = -sin(x)

Then, we can evaluate f'(a):

f'(π/2) = -sin(π/2) = -1

Next, we can plug in the given values into the formula for linearization:

L(x) = f(a) + f'(a)(x - a)

L(x) = cos(π/2) + (-1)(x - π/2)

L(x) = 0 - x + π/2

L(x) = π/2 - x

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3.12 freeway level of service. a four-lane urban freeway (two lanes in each direction) was built in part using an abandoned canal. the design speed is 60 mph. the lanes are 10 feet wide without any shoulder on either side. if the traffic flow is 2500 vph with 25 percent trucks in the peak hour, what level of service is the freeway operation if there is an interchange every 0.33 mile? what is the density? g

Answers

The level of service for the urban freeway is level E, and the density is 61.25 vehicles per mile.

To determine the level of service for the urban freeway, we can use the Highway Capacity Manual (HCM) method, which considers factors such as traffic volume, speed, and density.

Based on the given traffic flow of 2500 vehicles per hour and a design speed of 60 mph, the capacity of the four-lane freeway can be calculated as 8000 vehicles per hour. Using this value, along with the interchange spacing of 0.33 miles, we can determine the density of the freeway, which is 61.25 vehicles per mile.

Using the HCM method, the level of service is determined by comparing the freeway density to the capacity, which results in a level of service of E. Level E indicates that the freeway is operating at or near its capacity, and delays are frequent.

In conclusion, the urban freeway has a level of service classified as E, and density of the freeway, which is the number of vehicles per mile, is calculated to be 61.25.

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Two angles are complementary.
One has a measure of 19 degrees. What is the measure of the other?

Answers

Answer:

90-19 =71 I hope it will help you please follow me

discuss any two advantages of superposition theorem
compared to other circuit theorms

Answers

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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group of 280 elementary school students and 40 adults are going on a field trip. They are planning to use two different types of buses to get to the destination. The first type of bus holds 50 people and the second type of bus holds 56 people.Andre says that 3 of the first type of bus and 3 of the second type of bus will hold all of the students and adults going on the field trip. Is Andre correct? can someone answer this plssssssss Repeating an action that has already been performed and is no longer relevant is termed:A. PerseverationB. Utilization BehaviorC. A Semantic ErrorD. Neglect How do you tell if a system has no solution or infinitely many? marlena is enrolled in an intervention program that encourages learned-helpless children to believe that they can overcome failure by exerting more effort. this approach is known as . The least multiple of 5 which is divisible by both 3 and 4 is - 166 Wer ist denn daestul nende diesbe eliquipoldWer ist denn das da? Ergnze.Der interessante Schauspieler da? - Das ist doch Johnny Depp!Die cool Sngerin da? - Das ist dochDer nettLehrer da? - Das ist dochDie sympathisch Lehrerin da? - Das ist dochDas sportlichMdchen da? - Das ist dochDer intelligentJunge da? - Das ist doch_ THIS IS MY LAST CHANCE! FORTY POINTS AND BRAINLIEST.USE 5 DIFFERENT ER AND IR VERBS! I will fail Spanish if I get this wrong! I need to use the correct verbs but I am confused. I got it wrong last time for using AR verbs. Please help.What are a few things you did last month? In Spanish write at least 5 BASIC sentences (USING 5 different ER and IR verbs) about what you did last month. Be sure to use the correct forms of the preterite tense. Review the Unit 2 vocabulary list, use one verb from this list in each of your sentences. Some of them from the vocab list are to learn, to eat, to run, to write, to complete. 2 points 991 units Cary cost is estimated to be printer your ad the ordering conti per onder CEOQ A company sell a product whose son demand by answering thesafebookYOUNAINKSWhat is the over-all message ofThinde buferyou pontthe pictureFRIENDSKINDRa bedPASSWOSDyour passwardsoftige pris2. What is one word in the posterthat hits you the most? Why?Don't be furtherSonds othersPATIENTS & TEACHEASTE BUSARKTEUEINFRIENDBLOCKREPORTsed on the picture, how can you become a resnonsible social media HELP PLEASE URGENT WILL BE MARKED BRAINLIEST 50 POINTS DUE TODAY, Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want to use all her savings on the book. Giselles grandma offers to pay some of the cost of the book for every weed she pulls in her grandmas garden. The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandmas garden. Select True or False to describe each statement. If we want the Electric guitars to drop slightly in volume when the Lead vocalist sings, which track would be the Key Input? A pole is 65 feet tall. A support wire is attached to the top of the pole and secured to the ground 33 feet from the base of the pole. Find the approximate length of the wire.A.60B.32C.56D.73Plz answer Drivers with a BAC of 0.08% or more are involved in 1/3 of all traffic fatalities. The given statement is In what way does this video of Maurice's toast deepen your understanding of and appreciation for the text? ILL GIVE BRAINLEST Which star could die in a supernova? Sirius B Deneb Procyon All of the following accounts have normal debit balances except for? cash. expenses. capital. accounts receivable. Which of the following individuals was responsible for bringing the industrial revolution from England into the United States by building an Engish textile machine from memory in the United States? A: Andrew CarnegieB: Samuel SlaterC: William McKinley h(x) = 1/3x - 1 if h (15)