Solve for x: 3 (square root2-2x)+1=13

Using the Fundamental Counting Theorem, it is found that [tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Hence, the number of different telephone numbers that would be avaiable is given by:

[tex]N = n_1n_2 = 1.11 \times 10^3 \times 10^{10} = 1.11 \times 10^{13}[/tex]

[tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.

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The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

Factor of the polynomial

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

The length of the pool

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

Simplify the expression

The expression is given as:

(3s^2 - 2s + 1) [tex]\div[/tex] (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

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Answer:

1432.25

Step-by-step explanation:

8.50 x 40 = 340

340 x  4 = 1360

half of 8.50 is 4.25

4.25 x 10 = 42.5

4.25 x 5 = 21.25

4.25 x 2 = 8.5

add

1360 + 42.5 + 21.25 + 8.5  = 1432.25

i hope i did my math right, good luck mate

Answer:

11.5 Miles

Step-by-step explanation:

Add up all the mile times.

2.3+1.8+3.2+1.4+2.8=11.5

Answer:

C. never

Step-by-step explanation:

A trapezoid has exactly one pair of opposite sides parallel.

A parallelogram has exactly two pairs of opposite sides parallel.

A trapezoid is never a parallelogram.

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The equation is in the form of [tex](x-h)^2+(y-k)^2=r^2[/tex], which happens to be the equation of a circle

Part B

For the equation of the circle, its center is at [tex](h,k)\rightarrow(5,-11)[/tex]

Part C

Since [tex]r^2=49[/tex], then the radius of the circle is [tex]r=7[/tex]

Part D

The area of a circle is [tex]A=\pi r^2[/tex], so the area is [tex]49\pi[/tex] square units.

Answer:

Step-by-step explanation:

1/3 + 1/3= 2/3

5/10-2/10=3/10

4/5-2/5=2/5

11+1=12

Answer:

Assuming you mean (2^3)3, the answer is 24

Step-by-step explanation:

using pemdas you do 2 to the third power first

2x2=4 4x2=8

then you mutiply by the number not in parenthesis; 3

8x3 = 24

Answer:

7 trees.

Step-by-step explanation:

Number < 7 ft consists of the first 2 stems:

5 || 8   - 1 tree

6|| 2,3,7,8,9,9  -  6 trees

= 1 + 6

= 7.

The number of trees that are less than 7 trees as shown in the stem-and0leaf plot is: 7 trees.

In a stem-and-leaf plot, data points are represented in leaves and stems. For example, representing height of trees as 5 || 8, means a data point representing a height of a tree measuring 5 ft and 8 inches tall.

From the stem-and-leaf plot given, the data points that are below 7 feet are 7 in number, which range from 6 ft and 9 inches down to 5 ft and 8 inches.

The answer is: 7 trees.

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#SPJ6

Answer: 13 [tex]\frac{65}{72}[/tex]

Step-by-step explanation:

    This question is asking us to find the total flour used, so we will add the two amounts together.

5 1/8 + 8 7/9

-

5 + 8 = 13

1/8 + 7/9 = 9/72 + 56/72 = 65/72

-

13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]

        The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] \frac{4}{10} = \frac{2}{5} [/tex]

good luck

Answer/Step-by-step explanation:

At least, meaning 2 1/2 or more

Now, I'm not exactly sure how they want it written so it could be two answers.

4/10

OR

4

Hope this helps :)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex] \qquad \sf  \dashrightarrow \:y = a \sin(bx) + k[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

By the vertical angle theorem, angle K is equal to the angle of measure 28 degrees.

    --> so k is 28 degrees

Hope that helps!

Answer:

True

Step-by-step explanation:

To find the amount of observations all you need to do is just add up the dots. Adding the number of observations in each range should be true

nvm someone answered lol good luck!

Answer:

47.5m

Step-by-step explanation:

convert cm to metres 1.9cm×5=9.5m

Then times the side lengths with the amount of sides 9.5m×5=47.5m

Answer:

12

Step-by-step explanation:

→ Find the total age of the children

15 × 11 = 165

→ Add the mans age

165 + 27 = 192

→ Divide by 16

192 ÷ 16 = 12

Answer:

2250 cm^3

Step-by-step explanation:

Volume of sq prism - Base x Base x Height

15 x 15 x 10 = 2250

Answer:

1. False

2. Not sure

3. True

Statement A

A = bh/2

34 = (10)h/2

68/10 = h

h = 6.8

FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.

Statement B

A = (d1 + d2)/2

56 = (d1 + d2)/2

112 = d1 + d2

I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.  

Statement C

A = (a + b)(h)/2

24 = (7 + 9)(3)/2

48 = (7 + 9)(3)

16 = 7 + 9

16 = 16

TRUE Area of the trapezoid = 24 in².

Answer:

Total = $15,351.10

Monthly = $319.81

Answer:

$537.87

Step-by-step explanation:

First, we need to determine our total pay which will be 40 hours times our $15 per hour to be $600. For the extra hours above 40, we are payed 1.5 times as much.

$15 * 1.5 = $22.5 * (44-40) = $90 additional pay

$600 + $90 = $690 total pay

Now, we calculate all of our deductions.

Subtract social security to be

690 * (1-0.0625) = $646.875

Medicare Deduction

646.875 * 0.9855 = $637.50

Health Insurance

$637.50-83 = $554.50

401k Deduction

$554.50 * 0.97 = $537.87

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair

And since they for straight line, their Angle sum will be equal to 180°

that is :

[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]

[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]

Answer:

y = 38°

Step-by-step explanation:

We know that the angles in a straight line are added up to 180°.

So,

90 + y + 52 = 180

142 + y = 180

y  = 180 - 142

y =  38°

Answer:

Step-by-step explanation:

Find the area of the sheet metal

Area = L * w

L = 12

w = 8

Area = 12 * 8

Area = 96 square inches.

Find the value of the sheet metal

1 square inch costs $2.00

96 square inches cost 2 * 96 = $192.00

Answer:

A:

-4x(2x2 – 3x + 7)

Step-by-step explanation:

Answer:

A. 9/25

Step-by-step explanation:

There are a total of 25 T-shirts, which means that the denominator of the fraction is going to be 25 (which already rules out B and C). In the information they give us, they said that there are 9 red shirts. Therefore, the numerator will be 9. Our complete fraction is 9/25, or A.

I hope this helps! Have a lovely day!! :)

Answer:

c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5

Step-by-step explanation:

13² = ?² + 12²

169 - 144 = ?²

√25 = ?

5 yards = ?

Answer:

0.323232 is the greater number

Step-by-step explanation:

This is because if you write the numbers the same way, there is a difference between the first 0 and the 3.

Look here: 0.323232       0.320000

You can see that there is a 3 after the first 2, therefore that shall deem the greater number.

Answer:

3x^2-2x

Step-by-step explanation:

Answer: 4n-7

Step-by-step explanation: