How many ways can we put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together

Answers

Answer 1

On solving the provided question, we can say that the permutation will bw  , N = (4!)(5!)(3!)(3!)= 103,680

what is permutation?

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.

we can put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together will be , N = (4!)(5!)(3!)(3!)= 103,680

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Related Questions

PEASE HELP RIGHT AWNSER GETS THE CROWN THING

Answers

Answer: i believe that the answer is B :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can either use the graph or the chart.

For this question it'll be easier to use the graph.

First find the y-intercept (that were your line meet the y-axis)

y = 4

Then find the slope ([tex]\frac{rise}{run} = \frac{2}{1} = 2[/tex])

Slope = 2

Then plug them into the equation: y = mx + b

m = slope = 2

b = y-intercept = 4

y = 2x + 4

Therefore, the answer is A

A slide reaches a vertical height of 16 feet and makes an angle of 25° with the ground. How long is the slide

Answers

Answer:

17.7 feet

Step-by-step explanation:

law of sines:

x = length of slide

base of slide forms a 90 degree angle with the ground

to find the number of degrees in the third angle, subtract 115 from 180

sin 65°/16 = sin 90°/x

16 = sin 65°(x)

x = 16/(sin 65°) ≈ 17.7 feet

Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240

Answers

Complete question :

Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240

Let t represent the average weight of tack per horse, which of the following inequalities could be used to determine the weight of the tack cari can allow for each horse

Answer:

t ≤ 352

Step-by-step explanation:

Maximum allowable weight (tack and horse) = 8000 pounds

Combined weight of 5 horses = 6240

Let average weight of tack per horse = t

Average weight of tack for the 5 horses = 5t

Hence, weight of tack + weight of horse ≤ 8000

5t + 6240 ≤ 8000

5t ≤ 8000 - 6240

5t ≤ 1760

t ≤ 352

PLEASE HELP? The standard form for the function is: P(x)=-5x^+120x-315.
Rewrite the function in vertex form.​​

Answers

Answer:

P(x) = -5(x² - 12)² + 405

Step-by-step explanation:

P(x) = -5x² + 120x - 315

Factor out -5 from the first two terms

P(x) = -5(x² - 24x) - 315

Complete the square

P(x) = -5(x - 12)² - (-5(-12)²) -315

P(x) = -5(x - 12)² + 720 - 315

P(x) = -5(x - 12)² + 405

What it means when a function and its inverse is the same?

Answers

Step-by-step explanation:

it means that the graph of the function above y=x must be the mirrored image of the graph under y=x.

it means that the function applied to itself gives x.

f(f(x)) = x

e.g.

f(x) = 5 - x

f(f(x)) = 5 - (5 - x) = 5 - 5 + x = x

so, this f(x) is its own inverse.

Find the solution of (x+2)^2 +2=6 by using square roots method​

Answers

Answer:

(x + 2)² +2 = 6(x + 2)² = 4√(x + 2)² = √4x + 2 = ± 2x = -2 ± 2x = -4, x = 0

A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?​

Answers

Answer:

a.  The total cost of fixing the drain is $198

b. The plumber spend 13 hours fixing the drain

Step-by-step explanation:

We know the equation is

C=25h+73

C = the total cost

h = the number of hours

Let's solve question a by putting 5 in for h

C=25(5)+73

C = 125 + 73

C = $198

So, the total cost of fixing the drain is $198

Let's solve question b by butting 398 in for c

398=25h+73

325 = 25h

h = 13 hours

So, the plumber spend 13 hours fixing the drain

If you can, please give me a Brainliest; thank you!

Anyone pls help :) I'll give brainliest

Answers

Answer:

B. -5/2

Step-by-step explanation:

(0, -7) and (-4, 3)

m = 3+7/-4-0

m = 10/-4

m = -10/4

m = -5/2

Answer:

b

Step-by-step explanation:

In ΔWXY, w = 470 inches, mm∠W=55° and mm∠X=42°. Find the length of y, to the nearest 10th of an inch.

Answers

The length of y using sine rule is 6664.2 inches

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

in this case w/sinW = y/sinY

Y = 180-(55+42)

Y = 180-(97)

Y = 83°

Therefore 470/sin55 = y/sin83

470× sin83 = y sin55

= 466.50 = 0.707y

divide both sides by 0.707

y = 466.50/0.707

y = 6664.2 inches

therefore the length of y is 6664.2 inches

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Benjamin invested $66,000 in an account paying an interest rate of 63%
compounded annually. Christian invested $66,000 in an account paying an interest
rate of 5% compounded continuously. After 19 years, how much more money would
Benjamin have in his account than Christian, to the nearest dollar?

Answers

Answer:

  $16,755

Step-by-step explanation:

You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.

Interest formulas

The formula for the account value multiplier when interest is compounded annually is ...

  k = (1 +r)^t . . . . . . compounded annually at rate r for t years

When interest is compounded continuously, the multiplier is ...

  k = e^(rt)

Application

The difference in account values between the two rates is ...

  ∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))

  ∆value ≈ $16,754.70

Benjamin will have about $16,755 more than Christian after 19 years.

linear equations with distributing drag and drop
Can someone please help me with these? I'll give you a 5 star rating, and brainliest answer!​

Answers

Answer:

A.)

distributeadd 7x to both sidesadd 6 to both sidesdivide both sides by 10

B.)

distributecombine like termssubtract 12x from both sidesadd 6 to both sidesdivide both sides by 10

If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.
–4 < –3
The inequality changes from greater than to less than because -4 is less than -3.
–4 > –3
The greater than inequality holds true even when the opposites of 4 and 3 are used.
–4 = –3

Answers

Answer: The answer is A and b, the person above me is wrong

Step-by-step explanation: Hope y'all stay safe and healthy! ^^

sharla's batting average is 0.583. what would that be in fraction form

Answers

Given:

Sharla's batting average is 0.583.

To find:

The fraction form of the Sharla's batting average.

Solution:

It is given that Sharla's batting average is 0.583. So, it can be written as:

[tex]0.583=0.583\times \dfrac{1000}{1000}[/tex]

[tex]0.583=\dfrac{583}{1000}[/tex]

This fraction can not be simplified further because there is no common factor of 583 and 1000.

Therefore, the fraction form of the Sharla's batting average is [tex]\dfrac{583}{1000}[/tex].

A small box can hold 94.24 g of candy. If each candy has a mass of 1.52 g, how many candies can fit into each box?​

Answers

Answer:

62 candies can fit into each box

Step-by-step explanation:

We know

A small box can hold 94.24 g of candy

Each candy has a mass of 1.52 g

How many candies can fit into each box?​

To find it we take

94.24 divided 1.52 = 62 candies

So, 62 candies can fit into each box

What is the degree of the polynomial 7x 2y 3z 4?

Answers

The degree of a polynomial is the highest power of each variable in the equation. In the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Therefore, the degree of this polynomial is 8.

1. Identify the highest power of each variable.

For 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z.

2. Add the highest powers of each variable.

2 + 3 + 4 = 9

3. Subtract 1 from the sum.

9 - 1 = 8

4. The degree of the polynomial is the result of the subtraction.

Therefore, the degree of the polynomial 7x2y3z4 is 8.

The degree of a polynomial is the highest power of each variable in the equation. To calculate the degree of a polynomial, you must identify the highest power of each variable and add them together. Then, subtract 1 from the sum to get the degree of the polynomial. For example, in the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Adding these powers together gives us 9. Subtracting 1 from this sum gives us 8, which is the degree of the polynomial. Therefore, the degree of the polynomial 7x2y3z4 is 8.

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For a model of a building, a sculptor uses the scale of 3 inches represents 15 feet. The sculptor creates a model of an airplane that is 5 inches long. How long was the original airplane?
A 25 feet
B 30 feet
C 50 feet
D 75 feet

Answers

Answer:

A) 25 feet

Step-by-step explanation:

A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:

15/3 = 5

1 inch represents 5 feet.

Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:

5 x 5 = 25 feet.

5 inches represent 25 feet.

A) 25 feet is our answer.

~

Solve for x in this triangle. Round your answer to the nearest tenth. 37⁰ X 14​

Answers

Answer:

x ≈ 18.6

Step-by-step explanation:

using the tangent ratio in the right triangle

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )

x × tan37° = 14 ( divide both sides by tan37° )

x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )

What is the name of the shaded angle

Answers

Answer:

That's an acute angle.......

wow i dont know. i hope you figure the answer

Suppose you know the answer to 4/5*(20*1 7/8). Explain how the Commutative and Associative Properties of Multiplication can make the computation easier. Then find the answer

Answers

You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.

What distinguishes an associative property from a commutative property?

According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.

Explain:

[tex]\frac{4}{5}[/tex] ×(20×17/8)

20×17/8

340÷8

[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]

= [tex]\frac{64}{2}[/tex]

= 32

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Given this equation in slope y - intercept form y=2x+5, the slope, and the y-intercept are represented as ______.

Answers

Answer:

slope is 2 ,, y intercept is 5

Step-by-step explanation:

y=mx+c

m represents slope

c represents y intercept

You roll a die three times. What is the probability that you would roll a
two each time?

Answers

Answer:

1/216

Step-by-step explanation:

There are 6 sides in a die, and one of those sides is a two.

So, the probability of rolling a two is 1/6.

To find the probability of rolling a two each time, multiply 1/6 by itself three times.

1/6 · 1/6 · 1/6

= 1/216

So, the probability is 1/216

Oof I need help again plz people

Answers

Answer:

3/10 m^2

Step-by-step explanation:

To find the area of the rectangle

A = l*w

  = 2/5 * 3/4

   =6/20

Divide the top and bottom by 2

  = 3/10 m^2

Answer:

As a decimal it would be 0.3 but as a faction it would be 3/10

Step-by-step explanation:

2/5 times 3/4 = 0.3 or 3/10

5. An adult movie ticket costs $7.50, but a child's ticket is half that price. If a mom takes her two children to see a movie, what will her total cost for admission be?​

Answers

Answer:

it will be 15 dollars kkkkkkkkkkkkk

Answer:

$15.00

Step-by-step explanation:

An adult ticket is $7.50

A child ticket is half the Price.

So a mom takes Two kids, Which means 7.50/2 which is then 3.75

So for 1 kid— 3.75

Adult - 7.50

The mom takes two kids.

Multiply 3.75 and 2.

You get 7.50.

Add the adult and child tickets, and you would then get $ 15.00

Have wonderful Day!

help please (mhanifa)
For each question order the cards from least to greatest. If the feature is equal to two or more functions, place them next to each other.Maximum value on the interval 2 ≤ x ≤ 6
(sort the cards/letters from least to greatest based on Maximum value on the interval 2 ≤ x ≤ 6)

Answers

Answer:

u sus imposter

Step-by-step explanation:

How do you graph log functions with transformations?

Answers

required transformed function will be y = parent function+5⇒y=logx+5.

Since, given function y= logx

According to the graph, the transformed function is getting after shifting  the function by 5 unit upward.

Thus, transformed function must be equals to parent function+5.

Therefore, required transformed function will be y = parent function+5⇒y=logx+5.

How to do logarithmic transformations?

Image result for How do you graph log functions with transformations?

Recall the general form of a logarithmic function is: f ( x ) = k + a log b ⁡ where a, b, k, and h are real numbers such that b is a positive number ≠ 1, and x - h > 0. A logarithmic function is transformed into the equation: f ( x ) = 4 + 3 log ⁡

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there can be more than one answer

Answers

The spring constant is 30 N/m and the stretch when the 420 N force is applied is 14 cm.

What is spring force?

The force needed or applied to compress or extend a spring on any attached object is known as the spring force.

A spring exerts an equal and opposite force on an object when the object exerts a force on it. It always takes action to get mass back to where it should be for equilibrium. 

Given that when 180 N force is applied the spring stretched by 6 cm. The spring stretch when the 420 N force is applied is calculated as,

First, calculate the spring constant,

F = kx

180 = k x 6

k = 30 N / m

Calculate the deformation,

x = F / k

x = 420 / 30

x = 14 cm

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Each grid square is 1 square unit. Find the area, in square units, of the shape without counting every square. Be prepared to explain your reasoning.

Answers

The total area of the two rectangles is given by the equation A = 33 units²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the total area of the 2 rectangles be A

Now , each grid square represents = 1 square unit

Now , let the first rectangle be represented as P

The length of P = 4 grid squares

The width of P = 3 grid squares

Let the second rectangle be represented as Q

The length of Q = 7 grid squares

The width of Q = 3 grid squares

So , Area of Rectangle = Length x Width

The area of rectangle P = 4 x 3

The area of rectangle P = 12 units²

The area of rectangle Q = 7 x 3

The area of rectangle Q = 21 units²

So , the total area of figure A = area of P + area of Q

On simplifying the equation , we get

Total area of figure A = 12 units² + 21 units²

Total area of figure A = 33 units²

Therefore , the value of A is 33 units²

Hence , the area is 33 units²

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In the figure, m∠AOB = m∠COD. Which property of equality will you use to prove m∠AOC = m∠BOD?

A)
Subtraction

B)
Transitive

C)
Addition

D)
Symmetric

Answers

Answer:

transitive

.......gguf

(B) transitive or (d) symmetric
Now you have a 50/50chance of getting it correct

How do i solve this? (by factoring)
x(x+3)=x+8

Answers

[tex]\sf x\left(x+3\right)=x+8\\\\\\\\x^2+3x=x+8\\\\\\\\\sf \boxed{\sf\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8=x+8-8\\\\\\\\\sf \boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+3x-8=x\\\\\\\\\boxed{\sf \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8-x=x-x\\\\\\\\\boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+2x-8=0\\\\\\\\\boxed{\sf factor~ x^2+2x-8=0}\\\\\\\\\sf \left(x-2\right)\left(x+4\right)=0[/tex]

[tex]\sf \boxed{\sf \mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0}\\\\\\\\\sf x-2=0\quad \mathrm{or}\quad \:x+4=0\\\\\\\\\boxed{\sf \{x=2\}}\\\\\boxed{\sf \{x=-4 \} }[/tex]

Use the distributive property to write an equivalent expression to 8(7 + 3y). Explain how you know they are equivalent.

Answers

Answer:

56 + 24y

Step-by-step explanation:

8(7 + 3y) = 56 + 24y

Because

8 * 7 = 56

8 * 3y = 24y

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