HELP QUICK
Remove grouping symbols and combine like terms.
4a2 - 3[2b - 3b(b - 1)]

Answer: [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].

Step-by-step explanation:

The given function is

[tex]f(x)=\sin(9\ln (x))[/tex]

Using chain rule differentiate w.r.t. x.

[tex]f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))[/tex]      [tex]\left[\because \dfrac{d}{dx}\sin x=\cos x\right][/tex]

[tex]f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right][/tex]

[tex]f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right][/tex]       [tex]\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right][/tex]

[tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex]

Therefore, [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].

Answer:

with what?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are always congruent or equal

first when vertical angles are both 90 degrees , then vertical angles are supplementary and vertical

Answer: (B) 1.12

Step-by-step explanation:

8 weeks = 56 days

56 days x 20 grams = 1120 grams

1120 grams = 1.12 kilograms

Answer:

y = -2

Step-by-step explanation:

Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.

Answer: D

Step-by-step explanation:

Since we know that the area of the square is 900 in², we can use that to find the length of each side.

900=x²                 [square root both sides]

x=30

Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.

2r=30                    [divide both sides by 2]

r=15

With the radius, we can find the area of the circle.

A=π(15)²               [exponent]

A=225π

Since the problem said to leave in terms of π, the area is A=225π in².

Answer:

1= 6x2

2= -6b3

Step-by-step explanation:

The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given first equation,

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8

-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8

-4x² + 14x + 8 + ? = 2x ²+ 14x + 8

? = 2x ²+ 14x + 8 + 4x² - 14x - 8

? = 6x²

In the second equation,

(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17

(-b³ + 3b² + 8) - (5b³ + 8b² + 17) =  (? - 562 - 9)

? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571

? = -6b³ - 5b² + 562

Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".

For more about the equation,

brainly.com/question/10413253

#SPJ6

Answer:

1,2,3,6,and 9

Step-by-step explanation:

18=1×18

=2×9

=3×6

=1,2,3,6and9

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

Answer:

No solution.

Step-by-step explanation:

5 can't equal 3 my friend.

Answer:

D no solution.

Step-by-step explanation:

5 doesn't equal 3

Answer:

10

Step-by-step explanation:

This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:

1  2  3  4  5

Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.

Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.

Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.

Person 4 can only shake 5's hand, which is 1 handshake.

Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.

Answer:

∠B = 156°

Step-by-step explanation:

A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:

[tex]∠A = ∠B \\ 8x +78 = 2x +144[/tex]

Solving for x:

[tex]8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ \frac{6x}{6} = \frac{66}{6} \\ x = 11[/tex]

Solving Angle B if x = 11.

[tex]∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166[/tex]

Answer:

x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals

Answer:

LCM of 12 and 3 is 12

Step-by-step explanation:

hope it helps you vhprince

Answer:

52% is the answer

52%

all decimals can convert to percentages easily. For example:

0.76 = 76%

0.4 = 40%

0.093 = 9.3%

just move the decimal point 2 places backwards.

Answer: Infinite

Odd numbers are of the form 2n+1, where n is an integer

Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.

Answer:

0.9545

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/standard error,

where x is the raw score

μ is the population mean

Standard error = σ/√n

n = random number of samples

σ is the population standard deviation.

For x = 111

z = (x-μ)/standard error

= 111 - 115/20/√100

= -4 /20/10

= -4/2

= -2

Probalility value from Z-Table:

P(x≤ 111) = P(x = 111) = 0.02275

For x = 119

z = (x-μ)/standard error

= 119 - 115/20/√100

= 4 /20/10

= 4/2

= 2

Probability value from Z-Table:

P(x≤ 119) = P(x = 119) = 0.97725

The probability that a sample mean is between 111 and 119 gigabytes

P(-Z<x<Z)

= P(-2< x < 2)

= P(x = 119) - P(x = 111)

= 0.97725 - 0.02275

= 0.9545

Answer:

Highest Elevation: 14240

Lowest Elevation: -285

Step-by-step explanation:

Given

[tex]Highest\ Elevation = 14,240\ ft[/tex] above sea level

[tex]Lowest\ Elevation = 285\ ft[/tex] below sea level

Required

Represent both altitudes as an integer

For the Mountain:

Take the sea level as 0 feet

[tex]Altitude = Highest\ Elevation - Sea\ Level[/tex]

[tex]Altitude = 14240 - 0[/tex]

[tex]Altitude = 14240[/tex]

Hence, the integer is 14240

For the Valley:

Take the sea level as 0 feet

[tex]Altitude = Sea\ Level - Lowest\ Elevation[/tex]

[tex]Altitude = 0 - 285[/tex]

[tex]Altitude = -285[/tex]

Hence, the integer is -285

Answer:

63 inches

Step-by-step explanation:

Answer:

63 inches

Step-by-step explanation:

12inches = 1 foot.

5x12=60+3=63

Answer:

17/20 or 0.85

Step-by-step explanation:

3 x 4/20 + 1 x 5/20

12/20 + 5/20

( 12 + 5 ) / 20

17/20

( 0.85 )

Answer:

A.) Cuberoot of 2

B.) (m-3)^ 1/2

C.) Cuberoot of 2² or simple Cuberoot of 4

D.) m^1/2 - 3

E.) Squaroot of 2

Step-by-step explanation:

Steps to solve:

f(x) = 5x - 3

~Substitute

f(-2) = 5(-2) - 3

~Simplify

f(-2) = -10 - 3

~Subtract

f(-2) = -13 (Option A)

Best of Luck!

Answer:

Step-by-step explanation:

f(-2) = 5(-2) - 3 = -10 - 3 = -13

A is the answer

Answer:

4.

Step-by-step explanation:

Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.

the number of adult ticket's sold = 35

And the number of child ticket's sold = 2 x 35 + 12 = 70 + 12 = 82

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

12*6 for children 24 of adult because of of double children 24*10 240 so 240+72=312

Step-by-step explanation:

Its additive inverse!