where does the food go when you eat​

Answers

Answer 1

Answer:

down your esophagus into your stomach

Step-by-step explanation:

After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.


Related Questions

A bushel of apples costs $15.00 in the U.S. The same apples cost 1,600 yen in Japan. If the exchange rate is 80 yen per dollar, what is the real exchange rate? Is there a possibility for arbitrage? Explain and defend your answer.

Answers

The real exchange rate is 0.75.

It is not possible to make a profit by buying apples in one country and selling them in another.

We have,

To find the real exchange rate, we need to compare the price of apples in the two countries in terms of their respective currencies.

In the U.S., a bushel of apples costs $15.00.

In Japan, the same apples cost 1,600 yen.

Using the exchange rate of 80 yen per dollar, we can convert the cost in yen to dollars:

1,600 yen / 80 yen per dollar

= $20.00

So, the price of a bushel of apples in Japan is equivalent to $20.00 in the U.S.

The real exchange rate is the ratio of the prices of the same goods in two different countries, taking into account the exchange rate.

In this case, the real exchange rate is:

Real exchange rate = Price in U.S. / Price in Japan

= $15.00 / $20.00

= 0.75

This means that it takes 0.75 U.S. dollars to buy the same goods in Japan which would cost 1 Japanese yen.

To determine if there is an arbitrage opportunity, we need to compare the real exchange rate with the actual exchange rate.

If the real exchange rate is greater than the actual exchange rate, there is an arbitrage opportunity for someone to buy the good in one country and sell it in another country for a profit.

However, if the real exchange rate is less than the actual exchange rate, there is no arbitrage opportunity.

In this case,

The real exchange rate is 0.75, while the actual exchange rate is 80 yen per dollar, or 0.0125.

Since the real exchange rate is less than the actual exchange rate, there is no arbitrage opportunity.

Therefore,

The real exchange rate is 0.75.

It is not possible to make a profit by buying apples in one country and selling them in another.

Learn more about exchange rates here:

https://brainly.com/question/29562028

#SPJ1

Solve the equation and check your solution. 5 t = 7 and one-half Multiply 5t by 5; the answer is 7 and one-half. Divide 5t by 5; the answer is 7 and one-half. Divide both sides by 5; the answer is 1 and one-half. Multiply both sides by 5; the answer is 37 and one-half.

Answers

Answer:  the answer is 13 and one-half

Step-by-step explanation:

C

Step-by-step explanation:

Exercise C-7 (Algo) Calculate the present value of a single amount (LO C-3)
You have entered into an agreement for the purchase of land. The agreement specifies that you will take ownership of the land
immediately. You have agreed to pay $48,000 today and another $48,000 in three years. Calculate the total cost of the land today.
assuming a discount rate of (a) 4%, (b) 6%, or (c) 8%. (FV of $1. PV of $1. EVA of $1, and PVA of $1) (Use tables, Excel, or a financial
calculator. Round your answers to 2 decimal places.)
a.
b.
C.
Payment
Amount
$ 48,000
48,000
48,000
Interest
Rate
6%
8%
Compounding
Annually
Annually
Annually
Period Due
3 years
3 years
3 years
Total Cost of Land
Today

Answers

According to the compound interest concept the total cost of the land today is $89,306.64, $86,249.94, $83,693.44 respective to the discount percentage.

To calculate the PV of the second payment of $48,000 due in three years, we need to use the formula for the present value of a single sum:

PV = FV / (1 + r)ⁿ

where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods.

Using the given information, the FV is $48,000, the discount rate is 4%, 6%, or 8%, depending on the question, and the number of periods is three. Using a financial calculator, Excel, or present value tables, we can calculate the PV of the second payment:

For a discount rate of 4%:

PV = $48,000 / (1 + 0.04)³ = $41,306.64

For a discount rate of 6%:

PV = $48,000 / (1 + 0.06)³ = $38,249.94

For a discount rate of 8%:

PV = $48,000 / (1 + 0.08)³ = $35,693.44

Next, we need to add the PV of the second payment to the initial payment of $48,000 to get the total cost of the land today:

For a discount rate of 4%:

Total cost = $48,000 + $41,306.64 = $89,306.64

For a discount rate of 6%:

Total cost = $48,000 + $38,249.94 = $86,249.94

For a discount rate of 8%:

Total cost = $48,000 + $35,693.44 = $83,693.44

To know more about compound interest here

https://brainly.com/question/29335425

#SPJ1

PLEASE HELP ME SOLVE THIS!!!!

Answers

The meaning of the absolute value of -5.5 is given as follows:

The temperature decreases 5.5 degrees.

What is the absolute value of a number?

The absolute value of a number is the number without the signal, for example:

|-2| = |2| = 2.

The number in this problem is given as follows:

-5.5.

Hence:

The negative sign means that the temperature decreased.The absolute value of 5.5 means that the temperature decreased by 5.5 degrees.

Hence the second option is the correct option in the context of this problem.

More can be learned about the absolute value of a number at brainly.com/question/24368848

#SPJ1

A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, μ,
of babies born during the 24th week of the gestation period. She plans to select a random sample of birth
weights of such babies and use the mean of the sample to estimate μ. Assuming that the population of birth
weights of babies born during the 24th week has a standard deviation of 2.8 pounds, what is the minimum
sample size needed for the scientist to be 95% confident that her estimate is within 0.4 pounds of μ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number
(and make sure that it is the minimum whole number that satisfies the requirements).

Answers

The sample size needed for the scientist to be 95% confident that her estimate is within 0.4 pounds of μ is given as follows:

n = 189 babies.

What is a z-distribution confidence interval?

The bounds of the confidence interval are given by the rule presented as follows:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

The margin of error is defined as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The remaining parameters are given as follows:

[tex]M = 0.4 \sigma = 2.8[/tex]

Then the sample size is obtained as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

0.4sqrt(n) = 1.96 x 2.8

sqrt(n) = (1.96 x 2.8/0.4)

n = (1.96 x 2.8/0.4)²

n = 189 babies. (rounded up).

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

A student named Foofy conducted a survey. In her sample, 83% of mothers employed outside the home would rather be home raising children. She reported that "the statistical analyses prove that most working women would rather be at home." What is the problem with this conclusion? Using everything we've learned in the class so far, how could we fix her report to make it better?

Answers

The problem with Foofy's conclusion is that she drew a general conclusion from a sample without considering potential biases or confounding factors. To make the report better, she could provide more context, acknowledge potential biases, and make it clear that her conclusion only applies to her sample.

The problem with Foofy's conclusion is that it is based on a biased sample. She only surveyed mothers who were employed outside the home, which does not represent all working women. Therefore, her conclusion cannot be generalized to all working women.

To make the report better, Foofy could specify that her conclusion only applies to mothers who are employed outside the home, rather than all working women.

Additionally, she could improve the study's sampling method by randomly selecting a more representative sample of working women, rather than only surveying mothers who are employed outside the home.

To know more about biased sample:

https://brainly.com/question/29257227

#SPJ1

Classify the following into finite and infinite set
(i) The set of months in a year
(ii)The set of stars in the galaxy
(iii)The set of even integers
(iv)The set of odd integers
(v)The set of alphabets

Answers

i) finite set, ii) infinite set, iii) infinite set, iv) infinite set, and v) finite set are the required solutions.

A Set is a collection of objects with similar properties. There are different types of set two of them are finite and infinite set.

Finite set- A set is called a finite set when the elements inside the set are countable or where we can know the starting and the ending of the elements. For example- A set of players in a cricket team.

Infinite set- A set is called an infinite set when the elements inside the set are uncountable or where the ending of the elements is not known. For Example- A set of positive numbers.

Here in the question the option (i) and (v) are finite sets because the no.of months in the year and no.of alphabets are countable or finite. Option (ii), (iii), and (iv) are infinite sets as no.of stars in the galaxy, even integers, and odd integers are uncountable.

Learn more about Sets at:

https://brainly.com/question/28574826

Answer:

the set of months in a year is finite

the set of star in the Galaxy is finite

the set of even integers is infinite

the set of odd integers is infinite

the set of alphabet is finite

Step-by-step explanation:

1) the set of month in a year is finite because they are limit and we can count them easily

2) the set of star in the galaxy is finite cause there are zillions of stars

3) the set of even integer is infinite because numbers are unlimit or infinite

4) the set of odd integers is infinite cause numbers are infinite ir they have not limit

5) the set of alphabet is finite because we can count them limitedly

Probability Skill Check
DOOR Numbers
1
2
3
4
5
Coloured Blue, Red, Yellow and Green

What is the probability you will sit in a yellow seat? Give your answer as a fraction.
1/4
But what is the probability you will enter using an odd numbered door and sit in a green seat? Give your answer as a fraction.

Answers

The probability you will enter using an odd numbered door is 3/5, since there are three odd-numbered doors out of a total of five doors.

The probability you will sit in a green seat is 1/4, since there is one green seat out of a total of four seats.

To find the probability of both events occurring, you can multiply the two probabilities:

3/5 x 1/4 = 3/20

So the probability you will enter using an odd numbered door and sit in a green seat is 3/20.

Find the surface area of the composite solid. Round your answer to the nearest hundredth.


The surface area is about square centimeters.
WILL GIVE BRAINLIEST

Answers

The surface area of the composite figure is about 98.56 sq.cm

What is the surface area of the composite figure?

The composite figure is made up of a cylinder and a cuboid.

The formula for surface area of a cylinder is:

A = 2πr² + 2πrh

In this case, we only have top and not bottom. Thus:

A = πr² + 2πrh

A = π(1)² + 2π(1 * 6)

A = 37.7 sq.cm

Surface area of cuboid is:

A = 2(4 * 4) + 4(2 * 4) - π(1)²

A = 32 + 32 - π

A = 60.86 sq.cm

Total surface area = 37.7 sq.cm + 60.86 sq.cm

= 98.56 sq.cm

Read more about surface area at: https://brainly.com/question/16519513

#SPJ1

PLEASEEEE HELP MEMEMEMEM PLESSEEE I WILL GIVE U BRAINLIST QUICK

Answers

The numeric value of the function graphed is given as follows:

f(-8) = 6.

How to obtain the numeric value of the function?

The expression for the numeric value of the function in this problem is given as follows:

f(-8).

This means that the input is given as follows:

x = -8.

Passing a vertical line through x = -8, the value of y in which the vertical line crosses the graph is given as follows:

y = 6.

Hence the numeric value is given as follows:

f(-8) = 6.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

the ratio of ducks to geese on a pond is 3:2. which is true. A. there are 2 fewer geese than duck pond. B. There are 13 ducks and 12 geese on the pond. C. There are a total of 20 birds on the pond, of which 8 are ducks. D. There are a total of 45 birds on the pond, of which 27 are ducks

Answers

The statement that is true about the ratios is:

There are 2 fewer geese than ducks on the pond.

Option A is the correct answer.

We have,

The ratio of ducks to geese on a pond is 3:2.

This means,

Number of ducks = 3x

Number of geese = 2x

And,

If the total number of ducks and geese = 10

So,

(3x + 2x) = 10

5x = 10

x = 2

Now,

Number of ducks = 3x = 3 x 2 = 6

Number of geese = 2x = 2 x 2 = 4

This means,

There are 2 fewer geese than ducks on the pond.

Thus,

The statement that is true about the ratios is:

There are 2 fewer geese than ducks on the pond.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ1

Exponential model (10,160) (11,250)

Answers

The Exponential model is y = 0.74 (1.79)ˣ

We have,

(10, 160) and (11, 250)

Using the Exponential model

y = abˣ

where a is the initial amount and be is the constant.

Now, the value of b is

= 250/ 140

= 1.79

Now, y = abˣ

140 = a (1.79)⁹

a = 0.74

So, the Exponential model is y = 0.74 (1.79)ˣ

Learn more about Exponential Function here:

https://brainly.com/question/14355665

#SPJ1

In an online game, you receive –3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most –27. When the character slips, it takes 2 seconds for him to resume the race. Write an inequality to find the least number of bananas your character slipped on.

Answers

An inequality to find the least number of bananas your character slipped on: -3x ≤ -27

And  the least amount of race time character took to slip on bananas = 18 seconds.

Let us assume that x represents the number of bananas your character slipped on.

Here, based on the informtaion we get an inequality to find the least number of bananas your character slipped on -3x ≤ -27

We solve this inequality to find  the least number of seconds of race time.

-3x ≤ -27

⇒ x ≥ 9

When the character slips, it takes 2 seconds for him to resume the race.

Therefore, the least amount of race time your character took to slip on bananas would be,

9 × 2 = 18 seconds

Learn more about inequality here:

https://brainly.com/question/30239204

#SPJ1

The complete question is:

In an online game, you receive -3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most -27. When the character slips, it takes 2 seconds for him to resume the race. Write and solve an inequality to find the least number of bananas your character slipped on. At least how many seconds of race time

14) -1 -10a < -1 or 10 + 3a ≤-5

Answers

The solution to the inequality is:

0 < a  or a ≤ -5

How to solve the inequality?

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

We have: -1 -10a < -1 or 10 + 3a ≤ -5 and we want to solve for the variable "a".

-1 -10a < -1      or  10 + 3a ≤ -5

-10a < -1 + 1    or  3a ≤ -5 - 10

-10a < 0          or  3a ≤ -15  

a < 0/(-10)      or   a ≤ -15/3

a > 0              or   a ≤ -5

Since a a > 0  is the same as 0 < a. We can say:

0 < a  or a ≤ -5

Thus,  0 < a ≤ -5

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

the lowest common multiple of 36 30

Answers

Answer:

180

Step-by-step explanation:

To find the lowest common multiple (LCM) of 36 and 30, we can use the prime factorization method:First, we can find the prime factorization of each number:36 = 2^2 * 3^230 = 2 * 3 * 5Next, we can take the highest power of each prime factor that appears in either number and multiply them together.The highest power of 2 is 2^2 = 4.The highest power of 3 is 3^2 = 9.The highest power of 5 is 5^1 = 5.Multiplying these together, we get:LCM(36, 30) = 2^2 * 3^2 * 5 = 180Therefore, the lowest common multiple of 36 and 30 is 180.

Answer: 180

Step-by-step explanation:

To find the lowest common multiple (LCM) of two numbers, we need to find the smallest number that is a multiple of both of them.

One way to do this is to find the prime factorization of each number and then take the product of all the prime factors, with each factor occurring as many times as it appears in the factorization of either number.

The prime factorization of 36 is 2^2 × 3^2, and the prime factorization of 30 is 2 × 3 × 5. Therefore, the LCM of 36 and 30 can be found by taking the product of the highest power of each prime factor that appears in either factorization:

LCM(36, 30) = 2^2 × 3^2 × 5 = 180

Therefore, the lowest common multiple of 36 and 30 is 180.

In a large clinical trial, 395,487 children were randomly assigned to two groups. The treatment group consisted of 198,610 children given a vaccine for a certain disease, and 27 of those children
developed the disease. The other 196,877 children were given a placebo, and 104 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the
values of n₁. P. 9₁. ₂. P₂. Q2. P, and q

Answers

Answer:

n₁ = 198,610

P₁ = 27/198,610

n₂ = 196,877

P₂ = 104/196,877

q₁ = 1 - P₁

q₂ = 1 - P₂

Step-by-step explanation:

In circle V, VW = 8 and the area of shaded sector = 167. Find the length of
WY X. Express your answer as a fraction times .
W

Answers

The length of m∠WYX is equal to 12π units.

How to calculate the area of a sector?

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = θπr²/360

Where:

r represents the radius of a circle.θ represents the central angle.

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = θπr²/360

16π = θ(π/360) × 8²

Central angle, θ = 0.5π

m∠WYX = 2π - m∠WX

m∠WYX = 2π - 0.5π

m∠WYX = 1.5π

Length of m∠WYX = (1.5π)/2π × 2πr

Length of m∠WYX = (1.5π)/2π × 2π(8)

Length of m∠WYX = 12π units.

Read more on arc length here: brainly.com/question/28108430

#SPJ1

b) Convert the pressure you calculated into pound per square inch (PSI) using the following relationship:

1 PSI = 6896.6 kg/m-sec2

Answers

The pressure of 1000 Pa is equal to 0.145 pound per square inche(PSI)

Let the pressure be 1000 pascal

We have to convert it to pound per square inche

1 psi = 6896.6 Pa

Therefore, to convert 1000 Pa to psi, we can divide by this conversion factor:

1000 Pa ÷ 6896.6 Pa/psi

= 0.145 psi

Hence, the pressure of 1000 Pa is equal to 0.145 psi.

To learn more on Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ1

Determine the measure of angle Q.


Not possible

20°

30°

25°

Answers

The angle that is marked as Q has a value of 30°

What is cosine rule?

The cosine rule, also known as the law of cosines, is a mathematical formula used to calculate the length of a side or the measure of an angle of a triangle.

Cosine rule  useful in solving triangles when you know the lengths of two sides and the measure of the angle between them, or when you know the lengths of three sides.

By the use of the cosine rule, we have that;

7^2 = 12^2 + 14^2 - 2(12 * 14)Cos Q

49 = 144 + 196 -336CosQ

49- 340 =  -336CosQ

-291=  -336CosQ

Q = Cos-1 (-291/-336)

Q = 30

Learn more about cosine rule:https://brainly.com/question/26952873

#SPJ1

I need help fast I’ll rate

Answers

The polynomial equation of the smallest degree is f(u) = (u + 2)³(u - 1)²(u - 3)

The minimal degree of the graph

Given that we have the graph of a polynomial

The degree of the graph is the number of times the graph intersect and/or crosses the x-axis

In this case, we have the following points at which the graph intersect and/or crosses the x-axis

Lies on the x-axis at u = -2; so the multiplicity is 3Intersects with the x-axis at u = 1; so the multiplicity is 1Touches the x-axis at u = 3; so the multiplicity is 2

When the multiplicities are added, we have

Degree = 3 + 1 + 2

Degree = 6

So, the degree is 6

The zero at u = 1

In (a), we have

Intersects with the u-axis at x = 1; so the multiplicity is 1

This means that

The zero at u = 1 has a multiplicity of 1

The equation of the smallest degree

The equation is represented as

f(u) = (u - zero)^multiplicity

So, we have

f(u) = (u + 2)³(u - 1)²(u - 3)

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

PLEASE ANSWER TODAY FAST

New homeowners hire a painter to paint rooms in their house. The painter pays $100 for supplies and charges the homeowners $25 for each room they want painted.

Which of the following graphs shows the relationship between the amount of money the painter earns, in dollars, and the number of rooms he paints?

Answers

Answer:

I can explain how the relationship between the amount of money the painter earns and the number of rooms he paints can be represented in a graph.

The amount of money the painter earns depends on the number of rooms he paints. The painter charges $25 for each room he paints, so the amount of money he earns can be calculated by multiplying the number of rooms painted by $25. However, he also has to pay $100 for supplies regardless of the number of rooms painted.

Therefore, the relationship between the amount of money the painter earns and the number of rooms painted is a linear function, where the y-intercept (when no rooms are painted) is -$100 and the slope (how much he earns per room painted) is $25. This relationship can be represented in a graph as a straight line with a positive slope that intersects the y-axis at -$100.

I hope this helps

Option C is the correct graph for the given condition.

What is the significant use of graphs in real life?

Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.

Let's assume that the number of rooms painted is represented by the variable "x". The cost of painting x rooms can be calculated using the following equation:

Cost = 100 + 25x

The $100 is a fixed cost for the supplies, and the $25 is the cost per room painted. The variable "x" represents the number of rooms painted, which can vary.

We can draw a graph of this equation by plotting points for different values of "x" and connecting them with a straight line. For example:

If x = 0, then Cost = 100 + 25(0) = $100, which is the y-intercept (where the line intersects the y-axis).If x = 1, then Cost = 100 + 25(1) = $125, which gives us the point (1, 125) on the line.If x = 2, then Cost = 100 + 25(2) = $150, which gives us the point (2, 150) on the line.If x = 3, then Cost = 100 + 25(3) = $175, which gives us the point (3, 175) on the line.

We can continue this process to find additional points, and then plot them on a coordinate grid. Here's what the graph might look like:

The line passes through the point (0, 100), which is the y-intercept. As we move to the right along the x-axis (increasing the number of rooms painted), the cost increases at a constant rate of $25 per room. The slope of the line is therefore 25.

The equation for the line is in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. In this case, we have:

Cost = 25x + 100

This equation gives us the cost of painting x rooms, where x can be any non-negative integer.

The correct graph is option C

Learn more about graphs here:

https://brainly.com/question/17267403

#SPJ2

Consider the sequence 4,323,313,3

Answers

The explicit rule for the sequence 4, 3 2/3, 3 1/3, 3.... is f(n) = 4 - 1/3(n - 1)

Finding the explicit rule for the sequence

From the question, we have the following parameters that can be used in our computation:

4, 3 2/3, 3 1/3, 3....

In the above sequence, we can see that 1/2 is subtracted from the previous term to get the new term

Take for instance

2nd = 4 - 1/3 = 3 2/3

3rd = 3 2/3 - 1/3 = 3 1/3

4th = 3 1/3 - 1/3 = 3

And so on

This means that

First term, a = 4Common difference, d = -1/3

So, the explicit rule is

f(n) = a + (n - 1)d

This gives

f(n) = 4 - 1/3(n - 1)

Hence, the explicit formula is f(n) = 4 - 1/3(n - 1)

Read more about sequence at

brainly.com/question/30499691

#SPJ1

Complete question

Consider the sequence 4,3 2/3,3 1/3, 3....

What is the explicit rule for this sequence

Find the value of x,y and z in the rhombus below

Answers

Answer:

-10x - 8 + 98 = 180

-10x + 90 = 180

-10x = 90

x = -9

-y - 5 = 98

-y = 103

y = -103

-2z + 8 + 98 = 180

-2z + 106 = 180

-2z = 74

z = -37

help me please fr i just need these questions

Answers

The base area of the cylinder is 78.54 ft².

The height of the cylinder is 2 ft.

How to find the height and base area of the cylinder?

The cylinder has a volume of 157.08 ft cube and the radius of the cylinder is 5 ft.

Therefore, the area of the base of the cylinder can be found as follows:

base area of the cylinder = πr²

base area of the cylinder = 3.1416 × 5²

base area of the cylinder = 3.1416 × 25

base area of the cylinder = 78.54 ft²

Therefore, let's find the height of the cylinder.

volume of the cylinder = πr²h

where

h = height of the cylinder

157.08 = 78.54 h

divide both sides by 78.54

h = 157.08 / 78.54

h = 2 ft

Therefore,

height of the cylinder = 2 ft

learn more on cylinder here: https://brainly.com/question/16134180

#SPJ1

The variables y and x have a proportional relationship, and y = 28 when x = 21.
What is the value of y when x = 36?
O y = 14
O y = 48
O y = 36
O x = 64

Answers

the answers is y = 48

Two buses leave a station at the same time and travel in opposite directions. One bus travels 8 mih slower than the other. If the two buses are 432 miles apart after 3 hours, what is the rate of each bus?

Answers

The rate of each bus which leave a station at the same time are 76 mi/h and 68 mi/h respectively.

Given that,

Two buses leave a station at the same time and travel in opposite directions.

Let x be the distance travelled by the the first bus in 3 hours.

Then the distance travelled by the other bus in 3 hours = 432 - x

Rate of first bus = x/3 miles per hour

Rate of second bus = (432 - x) / 3 miles per hour

One bus travels 8 mi/h slower than the other bus.

x/3 - (432 - x) / 3 = 8

(x - 432 + x) / 3 = 8

2x - 432 = 24

2x = 456

x = 228

Rate of one bus = 228/3 = 76 mi/h

Rate of second bus = (432 - 228)/3 = 68 mi/h

Hence the rate of each bus are 76 mi/h and 68 mi/h respectively.

Learn more about Rate here :

https://brainly.com/question/16604920

#SPJ1

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
F(x) = (x^4/5)((x − 5)^2)

Answers

The critical values of the function are x = 0 and x = 4.

The critical values of a function f(x) are the values of x for which f'(x) = 0.

In this problem, the function is:

f(x) = [tex]\frac{x^4}{5(x-2)^2}[/tex]

The derivative is found as follows, applying the quotient rule:

f'(x) = [tex]\frac{2x^3(x-4)}{5(x-2)^3}[/tex]

The zeros of the function are the zeros of the numerator, thus:

2x³(x-4) = 0

∴ x = 0, 4

Hence, the critical values of the function are x = 0 and x = 4.

Learn more about critical values, click;

https://brainly.com/question/30168469

#SPJ1

what is the value of t

Answers

Answer: 7.2
Explanation: 9/t = 12/9.6 (now cross multiply)
12t = 86.4 (divide both sides by 12)
t = 7.2

19. A restaurant wants to study how well its salads sell. The circle
graph shows the sales of salads during the past few days. If 5 of
the salads sold were Caesar salads, how many total salads did
the restaurant sell?
Salads Sold
56%
20%
24%
Caesar
Garden
Cobb

Answers

Answer:

56% Caesar

Step-by-step explanation:

The only salads sold were Caesar and it is majority

In which quadrant is point B located?

Answers

Answer:

Step-by-step explanation:

Quadrant II

A is in Quadrant I   then you count counterclockwise

B quadrant II     (2)

C Quadrant III    (3)

D Quadrant VI   (4)

Roman numerals are used to for quadrant number

Other Questions
Which part of the acacia plant is an adaptation for the plant's defenses?O A. Small leavesOB. Woody stemsOC. Sharp thorns D. Yellow flowers Supersonic planes have never been a ____( commerce ) success Write a loop that sets newScores to oldScores shifted once left, with element 0 copied to the end. Ex: If oldScores = {10, 20, 30, 40}, then newScores = {20, 30, 40, 10}.Also note: If the submitted code tries to access an invalid array element, such as newScores[9] for a 4-element array, the test may generate strange results. Or the test may crash and report "Program end never reached", in which case the system doesn't print the test case that caused the reported message.#include using namespace std;int main() {const int SCORES_SIZE = 4;int oldScores[SCORES_SIZE];int newScores[SCORES_SIZE];int i;for (i = 0; i < SCORES_SIZE; ++i) {cin >> oldScores[i];}/* Your solution goes here */for (i = 0; i < SCORES_SIZE; ++i) {cout 1. The medical assistant took the oral temperature of 42 patients on Monday, 37patients on Tuesday, 65 patients on Wednesday, was off work on Thursday, and 56patients on Friday. How many total thermometer probe covers were utilized by thismedical assistant this week at the clinic when taking patient temperatures?2. The teenage patient grew % inch from January to March, inch from March to May,2 inches from May to September, and 1 % inches from September to December.How many total inches did this patient grow this year?3. An infant was born weighing 8 pounds and gained 2 pounds by his one-monthcheck-up, 2 pounds by his three-month check-up, and 4 more pounds by hissix-month check-up. How many pounds did this infant weigh by his 6-monthcheck-up appointment?4. If 3 teaspoons = 0.5 fluid ounce and there are 4 ounces in a bottle of children'sTylenol, how many 1-teaspoon doses are there in a bottle? who is bullous impetigo seen In? __________________ produces only a small amount of energy. Most of glucose's energy (90%) remains locked in the chemical bonds of pyruvic acid at the end of glycolysis. Cavitation is a term that is typically associated with which type of trauma? A. High-velocity penetrating trauma B. Low-velocity blunt traumaC. High-velocity blunt trauma D. Low-velocity penetrating trauma a gas-turbine power plant operates on the simple brayton cycle with air as the working fluid and delivers 32 mw of power. the minimum and maximum temperatures in the cycle are 310 and 900 k, and the pressure of air at the compressor exit is eight times the value at the compressor inlet. assuming an isentropic efficiency of 80 percent for the compressor and 86 percent for the turbine, determine the mass flow rate of air through the cycle using constant specific heats at room temperature. the properties of air at room temperature are cp 1) Write a single statement that reads an entire line from stdin. Assign streetAddress with the user input. Ex: If a user enters "1313 Mockingbird Lane", program outputs:You entered: 1313 Mockingbird Lane#include int main(void) {const int ADDRESS_SIZE_LIMIT = 50;char streetAddress[ADDRESS_SIZE_LIMIT];printf("Enter street address: ");/* Your solution goes here */printf("You entered: %s", streetAddress);return 0;} slove the inequality of x^3+ 9x^2-10x>0 ? 75. What is the fate of Wiglaf? solve by induction method pleaseTheorem 141. The segments connecting the center of a regular n-gon to its vertices partition it into n congruent isosceles triangles. A store is selling signs that read "Happy Holidays." The signs come in two sizes and two colors.BigSmallRed34Green42What is the probability that a randomly selected sign is green and small?Simplify any fractions. Shares in Farm Plc currently sell for $1175 and will be worth $1450 in 3.5 years. Calculate the rate of return. How many moles of calcium,Ca are in 5. 00 g of calcium ?? PLEASE HELP WHAT IS 7 x 4 A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost.How many sheets are in sale package What is the name of the disease when it located in the mucous membranes of the nose and mouth? how do you think would the view and treatment of Victor be different if he was discovered during the era of extermination Can I get the answer soon please??!!!!!