What is the measure of X

Answer:

24.

Step-by-step explanation:

−12(−2

= -12 * -2     ( Note  - * - = +) so we have:

24 (answer).

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Work Shown:

Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\[/tex]

Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\[/tex]

This is used to find a3

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\[/tex]

Finally we can now find a4

[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\[/tex]

Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.

Answer:

x = - 172*11

Step-by-step explanation:

Step-by-step explanation:

[tex] \sqrt 2, \: \sqrt 2. 6 \: \& \: \sqrt 2 + 6[/tex] are irrational and 6 is the only rational number.

Answer:2 hundred+1 tens+3 ones

Step-by-step explanation:

Step-by-step explanation:

standard deviation is used to measure risks involved in an investment instrument. Standard deviation provides investors a mathematical basis for decisions to be made regarding their investment in financial market. Standard Deviation is a common term used in deals involving stocks, mutual funds, ETFs and others. Standard Deviation is also known as volatility. It gives a sense of how dispersed the data in a sample is from the mean.

I hope I answered correctly :)

Answer:

x = -8.07107, 6.07107

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Write out equation

x(x + 2) = 49

Step 2: Distribute

x² + 2x = 49

Step 3: Subtract 49 on both sides

x² + 2x - 49 = 0

Step 4: Quadratic Formula

a = 1

b = 2

c = -49

x = -8.07107, 6.07107

Answer:

The answer is 27

Hope this helps

Answer:

x=27

Step-by-step explanation:

What you need to do is isolate the x or in other words have the x be alone on one side of the equal sign. To do this you would need to add 21 to both sides because you need to cancel out -21 with the opposite which would be positve 21. After that the x should be by itself and then finally add 21 to 6 to complete solving for x.

Answer:

x2 + x = 42

Step-by-step explanation:

x = nhmber

x² = its square

then:

The sum of a number and its square is 42 is:

x² + x = 42

Answer:

about 8 workers will finish the job

================================================

Work Shown:

Use the given area A = 28.3 to find the radius r

A = pi*r^2

28.3 = 3.14*r^2

3.14*r^2 = 28.3

r^2 = 28.3/3.14

r^2 = 9.01273885350319 approximately

r = sqrt(9.01273885350319)

r = 3.00212239149292

---------

Which is then used to find the circumference

C = 2*pi*r

C = 2*3.14*3.00212239149292

C = 18.8533286185756

C = 18.9

Answer:

mean is average

1. Add all the values to find the total

2. Divide the total you have found by the amount of numbers you have added to find the total

Answer:

To work out the mean you have to add all of the numbers up then divide it by how many numbers the are

Step-by-step explanation:

Answer:

15 days.

Step-by-step explanation:

46 - 16 = 30.

It falls 2 seconds behind each day so the number of required days

= 30 / 2 = 15.

Answer:

Step-by-step explanation:

15 days 16-40=30 the take 30/2= 15

Answer: 706 x[tex]10^{-4}[/tex]

It can also be written as 7.06 x [tex]10^{-3}[/tex]

Answer:

Step-by-step explanation:

0.0706 * 10 (0) the zero is supposed to be on top of the 10

Answer:

24x

Step-by-step explanation:

=6x×4+24x×3-72x

=24x+24×3x-72x

=24x+72x-72

=24x

Answer:

please mark my answer brainliest

Step-by-step explanation:

=8 x cube + 27

=2 X whole cube + 3 whole cube

=(2x+3)(2 X whole square + 3 whole square -2× 2 X ×3 )

=(2x+3)(4x square +9-12x)

....thats all...if require more than use splitting midterm to get more appropriate answer

Answer:

$14.16 for 6 gallons.

Step-by-step explanation:

35.40/15 = 2.36

2.36*6 = 14.16

Let present age of women and her daughter be x and y respectively.

According to the question,

Case 1 :

Two years ago,

Woman age = ( x - 2 ) years

Her daughter age = ( y - 2 ) years

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

Case 2 :

After Three years ,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii )

Now,

★ Substituting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Substituting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.

Let's denote the current age of the daughter as "D" and the current age of the woman as "W".

From the given information:

1. Two years ago, the woman was 7 times as old as her daughter:

W - 2 = 7(D - 2)

2. In three years time, the woman would be 2 times as old as the girl:

W + 3 = 2(D + 3)

We now have a system of two equations with two unknowns. Let's solve this system of equations:

From equation 1, we can rewrite it as:

W = 7(D - 2) + 2

Substituting this expression for W in equation 2, we have:

7(D - 2) + 2 + 3 = 2(D + 3)

Simplifying the equation:

7D - 14 + 2 + 3 = 2D + 6

Combine like terms:

7D - 9 = 2D + 6

Subtract 2D from both sides:

7D - 2D - 9 = 6

Combine like terms:

5D - 9 = 6

Add 9 to both sides:

5D = 15

Divide both sides by 5:

D = 3

Now that we know the daughter's current age (D = 3), we can substitute it back into equation 1 to find the woman's age:

W = 7(D - 2) + 2

W = 7(3 - 2) + 2

W = 7(1) + 2

W = 7 + 2

W = 9

Therefore, the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.

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Answer:

t = 5:26

Step-by-step explanation:

time after 26 min = 5:52

time before 5:52 after listening for 26 min

t = 5:52 - 0:26

t = 5:26 was the time when Shanika starts listening to a music.

Answer:

t = 5:26

Step-by-step explanation:

time after 26 min = 5:52

time before 5:52 after listening for 26 min

t = 5:52 - 0:26

t = 5:26

Step-by-step explanation:

According to Boyle's Law :

[tex]p _1v _1 = p _2v _2[/tex]

[tex]v _2 = \frac{p _1v _1}{p _2} = \frac{215 \times 51}{18.5} = 592.7ml[/tex]

The pressure exert in a container is 592.70 torr.

To find The pressure exert in a container.

Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.

Given that :

pressure([tex]P_{1}[/tex])=215 torr

volume ([tex]v_{1}[/tex])=51.0 mL

volume([tex]v_{2}[/tex])= 18.5 mL

[tex]P_{2}[/tex]=?

Number of moles and the temperature remain constant.

By the use of "Boyle's law" :

[tex]P_{1} V_{1} =P_{2} V_{2} \\\\215*51=P_{2} *18.5\\\\P_{2} =\frac{215*51}{18.5} \\\\P_{2} =592.70 torr[/tex]

So, the pressure exert in a container is 592.70 torr.

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Step-by-step explanation:

(1) y = x e^(x²)

Take derivative with respect to x:

dy/dx = x (e^(x²) 2x) + e^(x²)

dy/dx = 2x² e^(x²) + e^(x²)

dy/dx = (2x² + 1) e^(x²)

Take derivative with respect to x again:

d²y/dx² = (2x² + 1) (e^(x²) 2x) + (4x) e^(x²)

d²y/dx² = (4x³ + 2x) e^(x²) + 4x e^(x²)

d²y/dx² = (4x³ + 6x) e^(x²)

Substitute:

d²y/dx² − 2x dy/dx − 4y

= (4x³ + 6x) e^(x²) − 2x (2x² + 1) e^(x²) − 4x e^(x²)

= 4x³ + 6x − 2x (2x² + 1) − 4x

= 4x³ + 6x − 4x³ − 2x − 4x

= 0

(2) y = sin⁻¹(√x)

sin y = √x

sin²y = x

Take derivative with respect to x:

2 sin y cos y dy/dx = 1

sin(2y) dy/dx = 1

dy/dx = csc(2y)

Take derivative with respect to x again:

d²y/dx² = -csc(2y) cot(2y) 2 dy/dx

d²y/dx² = -2 csc²(2y) cot(2y)

Substitute:

2x (1 − x) d²y/dx² + (1 − 2x) dy/dx

= 2 sin²y (1 − sin²y) (-2 csc²(2y) cot(2y)) + (1 − 2 sin²y) csc(2y)

Use power reduction formula:

= (1 − cos(2y)) (1 − ½ (1 − cos(2y))) (-2 csc²(2y) cot(2y)) + (1 − (1 − cos(2y))) csc(2y)

= (1 − cos(2y)) (1 − ½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cos(2y) csc(2y)

= (1 − cos(2y)) (½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cot(2y)

= (cos(2y) − 1) (1 + cos(2y)) csc²(2y) cot(2y) + cot(2y)

= (cos²(2y) − 1) csc²(2y) cot(2y) + cot(2y)

= -sin²(2y) csc²(2y) cot(2y) + cot(2y)

= -cot(2y) + cot(2y)

= 0

Answer:

B 14

explanation:

i did the math

The perimeter of the given triangle is 14 units, so the correct option is B.

The perimeter of the triangle will be equal to the sum between the distances between the given points.

Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:

[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]

For the pair of (1,3), (2,-3): the distance is:

[tex]d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08[/tex]

For the pair (1, 3) , (-1, -1) the distance is:

[tex]d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5[/tex]

For the pair (2, -3) and (-1, -1) the distance is:

[tex]d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6[/tex]

Then the total perimeter, rounded to the next whole number is:

6.08 + 4.5 + 3.6 = 14

So the correct option is B.

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Answer:

r = 14,8

Step-by-step explanation:

Hope you can read my writing ;-)                                                                                

The length that can be found using the Law of Sine rule is

r= 14.80 units

Generally,

Generally, the equation for sin rule is  mathematically given as

[tex]\frac{p}{sinP} = \frac{q}{sinQ} = \frac{r}{sinR}[/tex]

Where

p = 9.5 units

∠P = 27°

∠R = 135°

Therefore

[tex]\frac{9.5}{sin 27^0} = \frac{q}{sin Q} = \frac{r}{sin 135^0}[/tex]

[tex]\frac{9.5}{sin 27^0} = \frac{r}{sin 135^0}[/tex]

9.5 x 0.7071 = r x 0.4540

r = 14.80 units

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Answer:

[tex] \boxed{ \bold{ \sf{ \boxed{n = 1}}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{7p - p = 18}[/tex]

Collect like terms

⇒[tex] \sf{6p = 18}[/tex]

Divide both sides of the equation by 6

⇒[tex] \sf{ \frac{6p}{6} = \frac{18}{6} }[/tex]

Calculate

⇒[tex] \sf{p = 3}[/tex]

2. [tex] \sf{ - 5n - 4n = - 9}[/tex]

Collect like terms

⇒[tex] \sf{ - 9n = - 9}[/tex]

Divide both sides of the equation by -9

⇒[tex] \sf{ \frac{ - 9n}{ - 9} = \frac{ - 9}{ - 9} }[/tex]

Calculate

⇒[tex] \sf{n = 1}[/tex]

Hope I helped!

Best regards!!

Answer:

11

Step-by-step explanation:

44/4 = 11

4/4 = 1

then:

44/4 = 11/1 = 11

Answer:

The answer is

Step-by-step explanation:

To solve first find the LCM of the denominators

That's

The LCM of 96 and 54 is 864

So we have

We have the final answer as

Hope this helps you