A photographer takes 12 different photographs. There are 3 sunsets, 4 oceans, and 5 mountains.

How many possible arrangements are there if all the photographs of the mountains are next to each other?

Answers

Answer 1

Answer:

4838400 arrangements

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

Permutation of 5 mountain photographs:

P(5, 5) = 5! = 120

Since all are next to each other, the mountain photographs count as one item along with the other 3 + 4 = 7 photographs and therefore the permutation for this is:

P(8,8) = 8! = 40320

Total arrangements is:

120*40320 = 4838400


Related Questions

A cone and a sphere have the same volume the base of the cone has a radius of 8 feet and the sphere has a radius of 6 feet what is the height of the cone?

Answers

Step-by-step explanation:

Volume of Cone=

[tex] \frac{1}{3} \pi \: r {}^{2} h[/tex]

Volume of Sphere=

[tex]\frac{4}{3} \pi \: r {}^{3} [/tex]

Since VC = VS

[tex] \frac{1}{3} \times 3.14 \times 8 {}^{2} \times h = \frac{4}{3} \times 3.14 \times 216[/tex]

66.99h = 904.32

h = 904.32 ÷66.99

h= 13.5 feet

How many different outfits can you make from 5 T-shirts, 3 pairs of
jeans, and 2 pairs of shoes?

Answers

Answer:

You can have a total of 15 outfits.

Step-by-step explanation:

Answer:answer above is correct

HELP DUE IN 10 MINS!

What are the values of x and y for the irregular pentagon below.

x =?? degrees

° y =?? degrees

Answers

Answer:

x = 91

y = 98

Step-by-step explanation:

x: 180 - 89 = 91

y: 180 - 82 = 98

Hope this helps!

*Can someone please help me out with this one?*

A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is
plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of , for the resulting
scatterplot is 0.83.
How would the value of the correlation coefficient change if sodium was plotted on the x-axis
and calories plotted on the y-axis?

A.The value of r would increase

B.The value of r would not change

C.The value of r would change to -0 83.

D.The value of r could increase or decrease, depending of the strength of the new relationship.

Answers

Either A - the value of r would increase or B- the value of r would not change.

Answer:

B) The value of r would not change

Step-by-step explanation:

If there's a positive association between sodium and calories, that's like saying there's a positive association between calories and sodium. Therefore, the value of r would not change because both variables are still increasing with each other.

Define an exponential function, f(x), which passes through the points (0,125) and (3,8). Enter your answer in the form a*b^x

Answers

Answer:

Step-by-step explanation:

put (0, 125) in a*b^x, we get a = 125, then put (3,8) in 125*b^x, we get 125*b^3=8

b^3=8/125

b=2/5

then the answer is 125*(2/5)^x

Miranda conducted a survey on how many hours per day students spend surfing the internet versus how many pets they have. She surveyed ten of her classmates and recorded the data in the scatter plot below.


Use technology to determine which equation best models the data in the scatter plot.
A.
y = -0.4x + 6.3
B.
y = -7.4x + 0.7
C.
y = -0.7x + 7.4
D.
y = -6.3x + 0.4

Answers

Answer:

Step-by-step explanation:

a

what is 8 1/4/d=2/11

Answers

[tex]8\frac{1}{4}d =\frac{2}{11}[/tex]

a) Simplify both sides of the equation.

[tex]\frac{33}{4}d=\frac{2}{11}[/tex]

b) Multiply both sides by 4/33.

[tex](\frac{4}{33} ) \times (\frac{4}{33}d)=(\frac{4}{33}) \times (\frac{2}{11} )\\[/tex]

d = [tex]\frac{8}{363}[/tex]

[tex]8\frac{1}{4} \div d=\frac{2}{11}[/tex]

= [tex]\frac{33}{4d} =\frac{2}{11}[/tex]

a) Cross Multiply.

[tex](33)\times(11)=2\times 4d[/tex]

[tex](363) =8d[/tex]

b) Flip.

[tex]8d=(363)[/tex]

c) Divide both sides by 8

[tex]\frac{8d}{8} = \frac{363}{8}[/tex]

[tex]d=\frac{363}{8}[/tex]

Marga earns 5% commission on the value of the homes she sells. Which equation can be used to determine her commission (C) on selling a home worth $375,000?

Answers

Answer:

375,000x0.05

Step-by-step explanation:

Multiply and it should be how much she receives

Amount of commission is $18,750

C = [Selling cost of house]rate

Given that;

Rate of commission = 5%

Selling cost of house = $375,000

Find:

Amount of commission

Computation:

Amount of commission

C = [Selling cost of house]rate

Amount of commission = [$375,000][5%]

Amount of commission = [$375,000][0.05]

Amount of commission = $18,750

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The base of a triangle is 12 in and the area of the triangle is 54 sq. in. What is the height of the triangle?

Answers

Answer:

12 x X x 1/2 = 54

12x x 1/2 = 54

x2              x2

12x = 108

divide by 12 on both sides:

X = 9

Let's double check!

9 x 12 = 108

108 divided by 2 = 54

IT WORKS!

Therefor your answer will be,

9!

Is (1, 1) a solution to this system of equations?
4x + 14y = 18
9x + y = 10

Answers

Answer:

yes

Step-by-step explanation:

yes. :) 4(1)+14(1)= 18, 9(1)+(1)= 10, so both of them have a (1, 1) solution!

a net of a building is show below what is the total surface area of the building block ​

Answers

Answer:D

Step-by-step explanation:

Answer:

the first or the two

Step-by-step explanation:

A triangle ha an area of 142. 74 quare feet and a height of 18. 3 feet. What i the length of the bae?

Answers

A triangle having an area of 142. 74 ft^2 and a height of 18. 3 ft, has a base of 15.6 ft.

What is the area of a triangle?

In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.

The area of the triangle is 142.74 ft^2.

The height of the triangle is 18.3 ft.

Let the base of the triangle be x.

The formula for area of a triangle is -

Area = (height × base)/2

Plugging in the values in the equation -

142.74 = (18.3 × x)/2

142.74 = 18.3x/2

18.3x = 285.48

x = 285.48/18.3

x = 15.6

Therefore, the base of the triangle measures 15.6 ft.

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The cost of tuition at a college is $12,000 and is increasing at a rate of 11% each year. Use an exponential function to find the cost of tuition after 4 years.

Answers

Answer:

17280

Step-by-step explanation:

11% of 12000= 1320

1320x4=5280

5280+12000=17280

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Nolan is a waiter at a restaurant. Each day he works, Nolan will make a guaranteed wage of $25, however, the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on. How much would Nolan expect to earn in a day on which he waits on 12 tables? How much would Nolan expect to make in a day when waiting on tt tables?

Answers

Nolan would expect to earn $157 in a day when he waits in 12 tables.

Now, According to the question:

We have the following information:

Each day Nolan works, Nolan will make a guaranteed wage of $25, however the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on.

Now, for waiting on 12 tables, he will get the fixed amount of 25 dollars and the amount for 12 tables.

So, the total amount will be:

25+11 × 12

$157

Hence, Nolan would expect to earn $157 in a day when he waits in 12 tables.

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A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?


Solve these problems any way you choose.

Answers

1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                     = 100,000 AA Batteries

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hiii so image below, this is super easy bt its hard when you're sleep deprived like me, so please help

Answers

You in seventh grade? or nah

A die is rolled 8 times. Find the probability P(of exactly 6 occurrences of 3).

Answers

The answer to this question is 0.1042

A sine function has the following key features:

Period = 4

Amplitude = 4

Midline: y = 1

y-intercept: (0, 1)

The function is not a reflection of its parent function over the x-axis.

Answers

The sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

What is sine function?

The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths. They are extensively used in all fields of geometry-related science, including geodesy, solid mechanics, celestial mechanics, and many others.

The general sine function is

[tex]y = Asin(b(x+c)+D[/tex]

Where

Amplitude = A

Period = [tex]\frac{2\pi }{B}[/tex]

Phase shift = c

Vertical shift = D

Given:

A = 4 (amplitude)

[tex]\frac{2\pi }{B} = 4[/tex]  (period)

[tex]B = \frac{\pi }{2}[/tex]

Since midline: y = 1

And we know that graph of [tex]4sin(\frac{\pi }{2}x)[/tex], midline to be y = 1.

It must have vertical shift D = 1.

Since, y - intercept (0, 1)

⇒ x = 0, y = 1

⇒ It has no phase shift  ⇒ c = 0

Since it satisfy [tex]y = 4sin(\frac{\pi }{2}(x+c))+D[/tex]

The graph of the sine function is attached below.

Hence, the sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].

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Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (9, 8). After leaving the theater Tommy walks to the store at (9, 0) before returning home. If each grid square represents one block, how many blocks does he walk?

Answers

Answer:

I think he walks 25 blocks

Step-by-step explanation:

he walks 0,8 then 9,8 then 9,0 so he goes 8y + 9x + 8y = 25 i don't know if that's right tho.

use the pythagorean theorem to find the value of c.​

Answers

Answer:

c = [tex]\sqrt{296}[/tex]

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle , with c the hypotenuse

c² = 10² + 14² = 100 + 196 = 296 ( take the square root of both sides )

c = [tex]\sqrt{296}[/tex] ≈ 17.2 ( to 1 dec. place )

Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls.

Answers

The required inequality to represent the above data regarding Valentina is x > 3.

How to illustrate the inequality?

Valentina uses more than 36 ounces of dough 12 cinnamon rolls made by Valentina of weight ounces of dough represented by x ,then required inequality is given by 12x > 36.

Number of cinnamon rolls made by Valentina = 12

Weight of all 12 cinnamon rolls are equal

x represents the ounces of dough used by Valentina to make cinnamon roll.

Ounces of dough used by Valentina is more than 36.

Required inequality to represent the above data is given by:

12x > 36

Divide by 12 form both the sides we get,

12x /12 > 36/12

x > 3

The inequality is x > 3.

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Complete question

Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls. Let x represent how many ounces of dough Valentina uses for each cinnamon roll. Which inequality describes the problem?

If the probability of getting a reult in an experiment i 75. 3%, what i the probability of not getting that reult? Select the bet choice

Answers

The probability of not getting result is found as 24.7%.

Explain the probability of experiment?

The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.

Theoretical Probability: the mathematically predicted outcomes of an experiment.Experimental Probability: the likelihood that the experiment will actually succeed.The mathematics of opportunity is known as probability (p). The probability of an event (E) occurring is shown through probability.Any occurrence can have its likelihood expressed as a number between 0 and 1, with 1 being the most likely outcome.The likelihood of an impossibility is zero. One represents the probability of an event. A probability between 0 and 1 can be attributed to any other events that fall in between these two extremes.

So,

P(Result) = 0.753.

P(no result) = 1 - 0.753

P(no result) = 0.247

Thus, the probability of not getting that result is found as 24.7%.

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The correct question is-

If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?

Need help ASAP !!! Right answer please

Answers

Answer:

[0,∞) or x ≥0

Notice that the graph doesn't go to the left of x = 0. It only goes right. This means that the domain (all possible values of x), can only be the values above 0.  

What is the slope of the linear regression prediction equation if a person with 12 years of schooling

Answers

On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.

what is linear regression?

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.

the e slope of the linear regression prediction equation if a person with 12 years of schooling

a. 1(correct)

b. 12

c. 13

d. 1,500

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Please help, I need answers ASAP.......

Answers

Answer:

hope it is helpful to you

may someone please help me out

Answers

9h is the correct answer I believe.

The formula for volume of a cube is Length × Width × Height

3 × 3 × h = 9h

Volume is cubed not squared, so I would choose 9h.

What is the solution to the system Y 3x 7 and 6x 2y 12?

Answers

The system of equations y = 3x - 7 and 6x - 2y = 12 has no solution. That is the lines of the equation is parallel.

To solve a system of equations, you can use substitution or elimination.

One method to find the solution for this system of equations is substitution. To use this method, you can solve one equation for one variable in terms of the other variable, and then substitute this expression into the other equation.

Solving for y in the first equation:

y = 3x - 7

Then substitute the result in the second equation:

6x - 2(3x - 7) = 12

6x - 6x + 14 = 12

14 = 12

That clearly is not true and this system of equations has no solution.

--The question is incomplete, answering to the question below--

"What is the solution to the system y = 3x - 7 and 6x - 2y = 12?

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What is the simplest form of this expression? 2m^3(-m - 3) + 7m^4

Answers

Simplest form: 5m^4 - 6m^3

What is 7,648 rounded to the nearest hundred?

Answers

Answer:

7,600.

Step-by-step explanation:

The 6 is the hundreds digit - as the next digit after it is 4 we leave the 6 as it is  so the answer is 7,600.

Answer:

7600

Step-by-step explanation:

First, 7648 rounded to the nearest hundred is:

7600

plz answer will give 5* brainliest and thanks plz plz plz ur being timed xD

Answers

Answer:

y=2x+0

Step-by-step explanation:

The slope is rise over run (which is 10/5, so 2) and the y-intercept is 0,0

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