Chapter 4
Solve.
1. Two trains leave a station at the same time, heading in opposite directions.
One train is traveling at 80 km/h, the other at 90 km/h. How long will it
take for the trains to be 425 km apart?​

Answers

Answer 1

Answer:

8850

Step-by-step explanation:

coz the train goes too slowly and lazy

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Related Questions

For a school project, the school bought 36 hamsters for $5.90 each and 40 cages for $30.25 each.
How much did the school spend in all?

Answers

1,422.4 is the answer please give brainliest

A chemist is performing an experiment by observing the effects when she combines two solutions. She monitors the temperature of the combined solution over the course of eight hours and records it in this table below.

The chemist can model the temperature with a polynomial function. During these eight hours, over what interval is the temperature decreasing?

A. From hour 0 to hour 8

B. From hour 5 to hour 8

C. From hour 0 to hour 5

D. From hour 2 to hour 6

Answers

Answer:

A. From hour 0 to hour 5

Step-by-step explanation:

For all Plato users

Interval of the temperature decreasing is from hour 0 to hour 5.

What is interval?

an interval is defined as a group of numbers which includes all numbers between the beginning and the end.

According to given data is showing that the temperature decreasing zero hour to 1 hour , then 1 to 2 hour, then 2 to 3 hour, then 3 to 4 hour, then 4 to 5 hour.

So the interval of the temperature decreasing is from hour 0 to hour 5.

Learn more about interval

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how do you solve for x
-3x-6y=0

Answers

Answer:

x = 2y

Step-by-step explanation:

Simplifying

3x + -6y = 0

Solving

3x + -6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

3x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0

3x + 0 = 0 + 6y

3x = 0 + 6y

Remove the zero:

3x = 6y

Divide each side by '3'.

x = 2y

Simplifying

x = 2y

One way of solving systems of linear equations is by adding a multiple of one equation to the other. The multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. What should you multiply the equation y=0 y=0 by so that when added to x+y=40 x+y=40 the variable y yy will cancel out?

Answers

Answer:

Multiply y = 0 by -1

Step-by-step explanation:

Given

y = 0 (1)

x + y = 40 (2)

What should you multiply the equation y=0 by so that when added to x + y = 40, the variable y will cancel out ?

Multiply (1) by -1

y = 0 × -1

-y = 0 (1b)

Add (1b) and (2)

-y = 0

x + y = 40

(0 + x) + (-y + y) = 0 + 40

x + (0) = 40

x = 40

You should multiply the equation y = 0 by -1 so that when added to x + y = 40 the variable y will cancel out

You own 16 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?

Answers

Answer:

[tex]\frac{1}{524160} or 1.910^{-6}[/tex]

Step-by-step explanation:

In order to solve this, you would need to multiply the probability of you choosing the one that goes first, so 1 in 16 discs, then the next one so 1 in 15, and so on untill the fifth disc.

So you would have to do this:

[tex](\frac{1}{16})(\frac{1}{15})(\frac{1}{14})(\frac{1}{13})(\frac{1}{12})\\\frac{1}{524160}[/tex]

That is the probability that the rack ends up in alphabetical order, if you pull discs randomly, 1 in 524160 chances.

Probabilities are used to determine the chances of an event.

The probability that the rack ends up in alphabetical order is [tex]\mathbf{ \frac{1}{524160}}[/tex]

The given parameters are:

[tex]\mathbf{CD = 16}[/tex]

[tex]\mathbf{r = 5}[/tex] -- CDs to arrange

So, the total number of arrangements of 5 CDs from the 16, is:

[tex]\mathbf{Total = ^{16}P_5}[/tex]

Apply permutation formula

[tex]\mathbf{Total = \frac{16!}{(16 - 5)!}}[/tex]

This gives

[tex]\mathbf{Total = \frac{16!}{11!}}[/tex]

Expand

[tex]\mathbf{Total = \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11!}{11!}}[/tex]

[tex]\mathbf{Total = 16 \times 15 \times 14 \times 13 \times 12 }[/tex]

[tex]\mathbf{Total = 524160}[/tex]

There is only one possibility of the CDs being in alphabetical order.

So, the probability is:

[tex]\mathbf{Pr = \frac{1}{524160}}[/tex]

Hence, the probability that the rack ends up in alphabetical order is [tex]\mathbf{ \frac{1}{524160}}[/tex]

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2〖sen〗^2 x+3 senx+1=0

2cotxsecx+ 2secx+cotx+1=0

senx〖cos〗^2 x=senx

2〖cos〗^2 x+2senx-12=0

2〖csc〗^2 x+〖cot〗^2 x-3=0

Answers

2 sin²(x) + 3 sin(x) + 1 = 0

(2 sin(x) + 1) (sin(x) + 1) = 0

2 sin(x) + 1 = 0   OR   sin(x) + 1 = 0

sin(x) = -1/2   OR   sin(x) = -1

The first equation gives two solution sets,

x = sin⁻¹(-1/2) + 2 = -π/6 + 2

x = π - sin⁻¹(-1/2) + 2 = 5π/6 + 2

(where n is any integer), while the second equation gives

x = sin⁻¹(-1) + 2 = -π/2 + 2

2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0

2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0

(2 sec(x) + 1) (cot(x) + 1) = 0

2 sec(x) + 1 = 0   OR   cot(x) + 1 = 0

sec(x) = -1/2   OR   cot(x) = -1

cos(x) = -2   OR   tan(x) = -1

The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives

x = tan⁻¹(-1) + = -π/4 +

sin(x) cos²(x) = sin(x)

sin(x) cos²(x) - sin(x) = 0

sin(x) (cos²(x) - 1) = 0

sin(x) (-sin²(x)) = 0

sin³(x) = 0

sin(x) = 0

x = sin⁻¹(0) + 2 = 2

2 cos²(x) + 2 sin(x) - 12 = 0

2 (1 - sin²(x)) + 2 sin(x) - 12 = 0

-2 sin²(x) + 2 sin(x) - 10 = 0

sin²(x) - sin(x) + 5 = 0

Using the quadratic formula, we get

sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2

but the square root contains a negative number, which means there is no real solution.

2 csc²(x) + cot²(x) - 3 = 0

2 (cot²(x) + 1) + cot²(x) - 3 = 0

3 cot²(x) - 1 = 0

cot²(x) = 1/3

tan²(x) = 3

tan(x) = ± √3

x = tan⁻¹(√3) +  OR   x = tan⁻¹(-√3) +

x = π/3 +   OR   x = -π/3 +

At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Write an equation. Let x represent the cost of one of Spongebob's items.

Solve the equation. Show your work.

Check your solution. Show your work.

State the solution in complete sentences.

Answers

Answer:

Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]

Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]

Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]

Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes cost of each item bought by Spongebob.

Number of items bought by Spongebob = 3

So,

Cost of items bought by Spongebob = [tex]3x[/tex]

Cost of each item bought by Patrick = [tex]x-1.50[/tex]

Number of items bought by Patrick = 5

Cost of items bought by Patrick = [tex]5(x-1.50)[/tex]

Both Spongebob and Patrick paid the same amount of money.

So,

[tex]3x=5(x-1.50)\\3x=5x-7.5\\5x-3x=7.5\\2x=7.5\\x=\frac{7.5}{2} \\x=3.75[/tex]

So,

Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]

Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]

Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]

Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]

In terms of the entire bill, which rational number represents the net change to Callie’s bank account? What does the sign on the number mean?

Answers

Answer:

Callie has 4 months to pay off the bill. The rational number is +4. The sign is positive because it represents a quantity of something, in this case, months.

Step-by-step explanation:

this is correct...

trust me :)

The sign is positive because it represents a quantity of something, in this case, months.

Callie has 4 months to pay off the bill.

The rational number is +4.

What is the rational number?

A number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

The sign is positive because it represents a quantity of something, in this case, months.

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Rewrite in simplest terms: -10(-3m-10)-3(-8m+3) i don't usually ask questions that often but I actually need help this time. so if you know answer please :D

Answers

Answer:

The simplest form is 6m+91.

Step-by-step explanation:

Consider the given information.

[tex]-10(-3m-10)-3(-8m+3)[/tex]

First, remove the parenthesis by multiplying -10 and -3 inside the parenthesis.

[tex]30m+100-24m-9[/tex]

Now, rearrange the like terms.

[tex]30m-24m+100-9[/tex]

Combine the like terms.

[tex]6m+91[/tex]

Hence, the simplest form is 6m+91.

he:
os and Proportions
This table shows the relationship between the
number of cups of popcorn, p, a popcorn
machine pops and the time in minutes, 1, the
popcorn machine operates.

Answers

Answer:

can you give a chart or something?

what is 35% as a fraction

Answers

Answer:

7/20

Step-by-step explanation:

Hay sorry I forgot the picture last time but can some one help

Answers

Answer:

Marina's design uses more cardboard.

in Kristen's design, it uses:

3*4/2*2+10*5+3*10+4*10=132 sq inches.

in Marina's design, it uses:

6*3*2+3*7*2+7*6*2=162 sq inches.

132<162

Therefore Marina's design uses more cardboard.

The difference between 2 designs are:

162-132

=30 sq inches

An SEO account manager is concerned website developers are using too many keywords per web page. The SEO account manager would like to carry out a hypothesis test and test the claim that a web page has, on average, more than 10 keywords. Why is this hypothesis test right-tailed

Answers

Answer:

The hypothesis test is right tailed because of claim made by SEO account manager that a web page on average has more than 10 keywords.

Step-by-step explanation:

The given hypothesis test is right tailed due to the claim made by SEO account manager. The tail of hypothesis test decided by looking at alternative hypothesis. The claim stated as " a web on average has more than 10 keywords" and this leads to alternative hypothesis as

Ha:μ>10.

The alternative hypothesis shows the greater than area or also known as right tailed area. Thus, given hypothesis test is right tailed.

multiply 0.87 x 0.4
I'm writing this for 20 characters

Answers

Answer:

0.348

Step-by-step explanation:

Answer:

.348

Step-by-step explanation:

Hope this helped

Which expression is equivalent to 100+20? 5(20+3)5(20+3) 4(25+6)4(25+6) 10(10+2)10(10+2) 5(20+20)5(20+20)

Answers

Answer:

Step-by-step explanation:

10 (10+2)

PLEASE HELP!!! 30 POINTS
Solve the inequality for x. Show each step of the solution.
12 + 7 > 9(2 − 3)− 8

Answers

Answer:

True

12+7>9(2-3)-8

19> (-9)-8

19>-17

Step-by-step explanation:

Answer:

12+7=19 and 9(2-3)-8=-17

Step-by-step explanation:

7. Sociologists can get three possible answers to a typical survey question such as "Do you believe in the tooth fairy?" - namely, yes, no and no opinion. With this in mind, the Sociomagnetic Computer Company has decided to build a computer to process survey data. This computer has a trinary memory - that is, each byte (tryte?)consists of 8 trits, with a trit holding a 0, 1, or 2. How many trits are needed to hold a 6-bit number? Give an expression for the number of trits needed to hold n bits.

Answers

Answer:

1. n ≥ 4

2. N ≥ nlog(2)÷log3

Step-by-step explanation:

1

1 byte = 8 bits

each byte = 8 trits

a 6 bit number = [tex]2^{6} = 64[/tex]

3n ≥ 64

divide through by3

n ≥ 64/3

we take the logarithm

n ≥ [tex]\frac{log64}{log3}[/tex]

n ≥ 1.8062 ÷ 0.4771

n≥3.785

when approximated, n ≥ 4. So the number of trits needed in the storage of 6 bit is atleast 4

2.

to hold n bits, we can do something similar.

3N ≥ 2n

we take log of both sides

such that;

N ≥ [tex]\frac{nlog(2)}{log(3)}[/tex]

Explain answer??????????????????

Answers

Answer:

the answer is a

Step-by-step explanation:

If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.

Answers

You didn’t show the full question/picture

7th grade math help me plzzz

Answers

Answer:

11.a) is 15+5.50+3 maybe

11.b) is $3.50 because 15-12=3 3+5.50=8.50 8.50+3=11.50 11.50-8=3.50

PLS HELP!! What is the value of X

Answers

21 don’t even trip lil b just go with the flow

Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.7° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min

Answers

Answer:

What I think, Is that it... It might be, It can take 3 seconds

1. Amy Lynn's Kitchen offers a breakfast
special. Customers have a choice of fried,
poached, scrambled, or soft-boiled eggs;
bacon or sausage; hash browns or grits; and
cornbread or biscuits. How many breakfast
combinations does Amy Lynn serve?
F. 8
G. 10
H. 16
J. 32

Answers

Answer: F

Step-by-step explanation: Amy lynn's kitchen offers a variety of breakfast specials, there are four choices for customers to choose from, but each choice has a combination. Which makes it 8 combinations Amy Lynn' serves

Solve the inequality. Graph the solution. -4s<6s +1

Answers

Answer:

Step-by-step explanation:

First solve the inequality by writing it.

-4s < 6s + 1

Now subtract -1 on both sides.

-4s - 1 < 6s

Now add 4s on both sides to combine like terms.

-1 < 10s

Now divide 10 on both sides.

-0.1 < s

Now flip it over properly.

s > -0.1

Hope this helped! <3

Suppose the manager of your local McDonalds tracks the

monthly sales of their new McBurger, Mini McBurger, and

Choco-Latte Shake. The data is listed below.

For January through December, the sales are as follows.

McBurger: 46, 63, 58, 77, 81, 102, 183, 197, 125, 111, 83, 218.

Mini McBurger: 23, 41, 35, 44, 62, 88, 95, 99, 108, 111, 98, 63.

Choco-Latte Shake: 88, 46, 39, 52, 67, 99, 189, 238, 188, 97,

51, 12

Create a matrix to display the data.

Answers

Answer:

Step-by-step explanation:

The question says "Create a matrix to display the data".

The are 3 products:

- McBurger   - Mini McBurger   - ChocoLatte Shake

The figures represent monthly sales for each product, in a given year. This means 12 figures for each product - represent the 12 months of the year.

These figures will appear on the matrix, with the horizontal arrangement representing each month of the year and the vertical arrangement representing each product's sales.

In that light, you'll have a 12 by 3 matrix.

[tex]\left[\begin{array}{ccc}46&23&88\\63&41&46\\58&35&39\\77&44&52\\81&62&67\\102&88&99\\183&95&189\\197&99&238\\125&108&188\\111&111&97\\83&98&51\\218&63&12\end{array}\right] 12 by 3 matrix[/tex]The first row represents sales in January, the second row represents sales in February, the third row represents sales in March, the fourth row represents sales in April, etcetera.

The first column represents sale of McBurger, the second column represents sale of Mini McBurger, the third column represents sale of Choco-Latte Shake.

Select the correct answer.

Each side of a square is

(st

5) units. Which expression can be used to represent the area of the square?

22 - 50 - 10

I2 – 50 + 10

2 – 100 - 25

22 - 10x + 25

Answers

Answer:

D.) x²-10x+25 sq. units

Step-by-step explanation:

The question is not properly written. The question should have been:

If each side of a square is (x-5) units, which expression can be used to represent the area of the square.

Area of a square = L² where:

L is the length of the square

Given

L = x-5

Required

Area of the square

Substitute the given function into the formula to get the required as shown:

Area of the square = (x-5)²

Expand

A(x) = (x-5)(x-5)

A(x) = x(x)-5x-5x-5(-5)

A(x) = x²-10x-25

Hence the area of the square is (x²-10x+25)sq. units. Option D is correct.

RADIO A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original
price to the nearest nickel?

Answers

Answer:

10% of $50.00 is $5.00 SO ORGINAL PRICE IS $55.00

Step-by-step explanation:

50÷10=5

5 00+50.00= $55.00


Need help like ASAP

Answers

It is X=2 you have to see where it touched line

1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?

Answers

Answer:

We reject H₀, we find that the  current level of mercury uptake in the Everglades has decrease

Step-by-step explanation:

We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)

Test Hypothesis:

Null hypothesis             H₀          μ   =  μ₀

Alternative hypothesis Hₐ          μ   <  μ₀

Sample size 25             then n < 30 we will use t-student table

Population mean : μ₀ = 15 ppm

sample mean :  μ  = 14,6 ppm

sample standard deviation:   s = 1 ppm

Sample size n :  25

degrees of freedom   df = n - 1         df = 24

We will develop the test for CI 90%  then  α = 10%      α = 0,1   α/2 = 0,05

For that values in t student table we find:

t(c) = 1,711    by symmetry t(c) = - 1,711

To compute ts

t(s) =  ( μ - μ₀ ) / s/√n

t(s) = 14,6 - 15 / 1 /√25

t(s) = - 0,4*5 / 1

t(s) = - 2

Comparing t(c)and t(s)

|t(s)| > |t(c) |      and t(s) < t(c)         -2 < -1,711

Therefore t(s) in in the rejection region, we reject H₀  

Pieces of Mail. The number of pieces of mail

handled by the U.S. Postal Service decreased from

212 billion in 2007 to 168 billion in 2011. What is the

percent decrease?

Answers

Answer:

20.8%

Step-by-step explanation:

The number of the pieces of mail handled by the U.S postal service decreased from 212,000,000,000 to 168,000,000

Therefore the percentage decrease can be calculated as follows

= 212,000,000,000-168,000,000,000

= 44,000,000,000/212,000,000,000 × 100

= 0.2075 × 100

= 20.8 %

Hence the percentage decrease is 20.8%

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Which sentence is correct?"He gave a persuasive speech", she claims.He gave a persuasive speech, she claims."He gave a persuasive speech," she claims.Submit Which one uses correct punctuation? If 550 grams of KClO3 breaks down and produces 175 grams of KCl, how many grams of O2 are produced? Which of the following professionals most likely needs knowledge of anatomy and physiology?someone who sends medical bills to clientssomeone who assists with cleaning patients teethsomeone who schedules patient appointments in a hospitalsomeone who conducts environmental research Demand Practice Problems 1. Which of the following best describes the law of demand? (A)The price of a good increases when the demand for the good increases. (B)The price of a good decreases when the supply of the good decreases. (C)When the price of a good increases, its demand decreases. (D)When the price of a good decreases, its quantity demanded increases. Suppose the horses in a large stable have a mean weight of 975lbs, and a standard deviation of 52lbs.What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbsif 31horses are sampled at random from the stable What if you do not fit in the two parties political system how would you vote Please help me solve What is m justify how birds belonging to different species might all share a common ancestor. Both olives and the leaves of olive trees contain alkanes with long carbon chains. A predominant alkane in olives has 27 carbons, whereas a major alkane component in olive leaves has 31 carbons. What is the molecular formula of each of these alkanes? Pls helpppppp this stuff makes no sense In the diagram, the origin is at the center of a cube that has edges 6 units long. The x-, y-, and z-axes are perpendicular to the faces of the cube. Give the coordinates of the corner at point E.(3, 3, 3)(3, 3, 3)(3, 3, 3)(3, 3, 3) What is the greatest number you can multiply by 6 to get close to, but not go over 56 My made-up polyatomic ion goldate acts a lot like chlorate (it has the same charge and the same number of oxygens). What would the name be for the acid, HG004(aq)? a. Hydrogen diogoldate b. Goldous acid c. Goldic acid d. Pergoldic acid e. None of these HELP ASAP!!Who introduces Eliezer to the kabbalah?Question 1 options:Moshe the RabbiHis fatherMoshe the Beadle how do i quote a quote? i want to quote this quote in this article for an essay. its dialogue btw Which number is rational?2.1010010001...0.8974512...1.2547569...5.3333333... true or false. a factor that can come between the purchase intention and purchase decision is the attitude of others g Hsbdbshsnssbsbs sbsbsbs Why is the government of Scandinavia expensive to run? few workerslittle manufacturingsocial securitylow population The goal of an audio codec isto make an audio file that sounds good and is as small as possible for use with certain applications.to make an audio file with the highest amplitude while making sure the decibels are not degraded.to preserve the original sound quality regardless of conversions that affect sampling rate.to upload audio files from your computer to your mobile devices.