A library shelf contains seven books. Three books are math books and four books are science books. In how many ways may the books be arranged on the shelf so that all the math books will be together

Answer:

[tex]\pi \times {r}^{2} [/tex]

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The least number of mice that he has to take out of his hat would be 23.

We have the following details to solve this problem

x = 14

t = 8

u = 6

n1 = x + t + 1

= 14 + 8 + 1 = 23

​

n2 = t + u + 1

= 8 + 6 + 1 = 15

​

n3 = x + u + 1

= =14+6+1=21

From here the

max n (n1, n2, n3) = 23, 15, 21

Hence the least number that has to be taken out would be 23.

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Answer:

18.84 inches

Step-by-step explanation:

The circumference of a circle is found by

C = 2 * pi *r  where r is the radius

C = 2 * pi * 3

C = 6 pi

Approximating pi by 3.14

C =6*3.14

C =18.84 inches

Answer:

18.84 in

Step-by-step explanation:

[tex]Solution,\\\\Radius(r)=3in\\\\Now,\\\\Circumference=2\pi r\\\\Circumference=2*\pi *3in\\\\Circumference=18.84in[/tex]

The value of x in the equation  [tex]3^2^x = 9^3^x^-^4[/tex] is 2.

Two or more expressions with an Equal sign is called as Equation.

The given equation is [tex]3^2^x = 9^3^x^-^4[/tex]

We need to find the value of x.

We can write the given equation as below to make the bases same.

as 9 is equal to 3²

[tex]3^2^x = 3^2^(^3^x^-^4^)[/tex]

Apply distributive property in exponential part.

[tex]3^2^x = 3^(^6^x^-^8^)[/tex]

Now compare the exponential part as the bases are same

2x=6x-8

8=6x-2x

8=4x

Divide both sides by 4

x=2

Hence, the value of x in the equation  [tex]3^2^x = 9^3^x^-^4[/tex] is 2.

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Answer:

z ∈ { 12, + ∞ >

Alternate form: z ≥ 12, { z l z ≥ 12 }

Step-by-step explanation:

1- Determine the defined range

2- Factor the expression

3- Simplify the root

4- Move the variable to the left

5- Separate into possible cases

6- Solve

7- Find the intersections

8- Find the union

Answer: Z ≤ 12

The correct answer is "Z is less than or equal to 12", Z ≤ 12.

Step-by-step explanation:

Hope this helps.

Answer:

one solution:1

infinite no. of solutions: 2

no solution:3

Step-by-step explanation:

one solution because it intersects in one point

infinite no. of solutions because we have only one line so we have infinitely many solutions.

no solution because 2 parallel will never intersect

hope I helped habibti

Answer:

x^2−6x+5

Step-by-step explanation:

First Step:

Apply the distributive property.

x(x−5)−1(x−5)

Apply the distributive property.

x⋅x+x⋅−5−1(x−5)

Apply the distributive property.

x⋅x+x⋅−5−1x−1⋅−5

Second Step:

Simplify and combine like terms.

Simplify each term.

Multiply x by x

[tex]x^2+x x-5-1x-1x-5[/tex]

Third Step:

Move −5to the left of x.

x^2−5⋅x−1x−1⋅−5

Rewrite −1x as −x.

x^2−5x−x−1⋅−5

Multiply −1 by −5.

x2−5x−x+5

Subtract x from −5x.

x^2−6x+5

Answer:  7.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/27.5 = 75/10 which can be simplified to 15/2

Step-by-step explanation:

Answer:

3 9 90 =3²+9²=90

4 2 20 =4²+2²=20

5 7 =5²+7²=74

The missing term in the series is 74.

The mathematical way to display the quantity involved is called Numbers.

The given figure shows a sequence being followed for the third number.

The third number below the triangle is the sum of squares of the two numbers above the triangle.

3² + 9²  = 90

4² +2²  = 20

5² +7² =25+49 = 74

Therefore, the missing term in the series is 74.

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Answer:

22:2  33:3 44:4 ...

Step-by-step explanation:

just multiply numbers by natural numbers

Answer: 22:2

Step-by-step explanation: hope its correct

multiply to see what numbers they have in common

Answer:

45

Step-by-step explanation:

5x 7 = 35

5 x 2 = 10

35 +10=45

Using the z-distribution, as we are working with a proportion, considering that the estimate is of 90%, the 95% lower​ limit is of 0.8785.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have that:

Hence, the lower bound of the interval will be given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.9 - 1.96\sqrt{\frac{0.9(0.1)}{750}} = 0.8785[/tex]

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Answer:

[tex]\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}[/tex]

Step-by-step explanation:

Start by making a common denominator. That way we can just compare the numerators of the fractions and easily order then from least to greatest. Start by finding the LCM(least-common-multiple) of the denominators.

The LCM of 3, 4, and 5, is 60.

So let's make each of the fractions have a denominator of 60.

Start with [tex]\frac{2}{5}[/tex],

[tex]\frac{2}{5} =\frac{x}{60}[/tex], no we have to solve for x, and since we multiply by 12 to get to 60 from 5, we multiply 2 by 12 as well.

So, [tex]x=24[/tex].

Now do the same for each fraction.

[tex]\frac{1}{3} =\frac{x}{60}[/tex], we multiply by 20, so [tex]x=20[/tex]

[tex]\frac{4}{5} =\frac{x}{60}[/tex], we multiply by 12, so [tex]x=48[/tex]

[tex]\frac{3}{4}=\frac{x}{60}[/tex], we multiply by 15, so [tex]x=45[/tex]

So now are new fractions are [tex]\frac{24}{60} , \frac{20}{60} ,\frac{48}{60} , \frac{45}{60}[/tex]

Now just order these like normal since they have a common denominator.

[tex]\frac{20}{60} ,\frac{24}{60} , \frac{45}{60} , \frac{48}{60}[/tex]

Now revert them and make them there original values

[tex]\frac{1}{3}, \frac{2}{5} , \frac{3}{4} , \frac{4}{5}[/tex]

Answer:

-2a+2b+1 is the answer hope this helps

Very simple

[tex]\\ \tt\longrightarrow 5-2y+7y-2-1[/tex]

[tex]\\ \tt\longrightarrow -2y+7y-2-1+5[/tex]

[tex]\\ \tt\longrightarrow 5y-3+5[/tex]

[tex]\\ \tt\longrightarrow 5y+2[/tex]

Answer :

500

Explanation: 102,500

587 Is The First 5 And The Value Is Hundreds

◊ YusuCr ◊

Answer:

500 or hundreds place

Step-by-step explanation:

5 is in the hundredths place

102,587

| | | | | |- ones place

| | | | |- tens place

| | | |-hundreds place

| | |- thousands place

| |- ten thousandths place

|- hundred thousandths place

Answer:

8 and 10

Step-by-step explanation:

8+10= 18

8-10= -2

Answer: The two numbers are 8 and 10.

Hopefully this helps!

Answer:

10

Step-by-step explanation:

i just thought of 10 * 10 = 100 because that is how square root works!

please mark brainliest if this helped

Answer:

140° is the answer.

Step-by-step explanation:

The photo explains it

Answer:

5.21 i took the test

Length of longer side of the rectangle in which a quarter circle is drawn onto the shorter side is 5.12 cm

The area of a two dimensional shape is the space enclosed by the boundary of the shape. The area of a rectangle is the product of its length and breadth, the area of a circle is π×(radius)².

Given that, the shorter side of a rectangle is 4cm.

Let the length of the longer side of the rectangle is x.

Then, the area of rectangle is 4x

Also, the sum of area of rectangle and a quarter circle is 33.4cm²

And the radius of quarter circle = shorter side of rectangle

Therefore, area of quarter circle = (1/4)×π(4)²

According to question,

    4x + (1/4)π(4)² = 33.4

     4x + 4π = 33.4

     4x = 33.4 - 4×3.14

     4x=20.84

       x=5.21

Hence, the longer side of rectangle is 5.21 cm when the shorter side is 4cm and a quarter circle is drawn onto the shorter side of the rectangle.

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Answer:

30 is the total number..p

The resulting equation of the given graph will be -|x+1|

The parent function of the given graph function is given as:

f(x) = |x|

The given graph shows a reflection over the x-axis and a horizontal translation by 1 unit to the left

Reflection = -|x|

Horizontal shift = -|x+1|

The resulting equation of the given graph will be -|x+1|

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Answer:

128/15 glass of water

Step-by-step explanation:

3/4 hrs = 4/5 of 8 = 32/5

Now,

1 hr = 32/5/3/4

or, 1 hr = 32/5 × 4/3

or, 1 hr = 128/15

Answer:

9,10,11,12,13,14,15,16,17,18,19,20

i hope you can wrap your mind around it

enjoy your next 24 hours <3

Answer:

2x+18

Step-by-step explanation:

We can start by distributing the 2 to each term in the parentheses...

2(x)+2(9)

Multiply

2x+18

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: 2x + 18}}}}}}}}[/tex]

Step-by-step explanation:

[tex]2(x + 9)[/tex]

Remove the brackets & mutiply 2 with x & 9.

[tex]2(x) + 2(9)\\\\\Longrightarrow\large\boxed{ \sf\:2x + 18}[/tex]

•°• Our expression is 2x + 18, i.e, 2 (x + 9) = [2]x + [18].

__________

Hope it helps !

[tex]\mathfrak{Lucazz}[/tex]