Mathematics High School

Your job pays 6$ per hour write a variable expression for your pay in dollars for working h hours what is your Pay if you work 32 hours

Answers

Answer 1
6h

Fill in 32 for h

6x32

For 32 hours, you would earn $192

Related Questions

sketch one cycle of the cosine function y=-cos 3 theta

Answers

The graph of the equation given by y=-cos³θ will be as follows:

Answer with explanation:

The given cosine function is

   y= - cos 3 (theta)= -3 cos A, where , theta =A.

→→Domain of Cos A

          = All Real number

    = Period is from (-π , π)

Range of Cos A=[-1, 1]

→Domain of Cos 3 A,will be also, all real number.

Period is from,

         [tex][\frac{-\pi}{3},\frac{\pi}{3}][/tex]

But range of Cos 3A,will be same as ,Cos A which is equal to ,[-1,1].

→Plotted the graph of ,y=-cos 3 A, having cycle ,

  [tex][\frac{-\pi}{3},\frac{\pi}{3}][/tex]

An equiangular triangle can be scalene. A. True B. False

Answers

False is correct answer.
 
Because equiangular triangle is not to be scalene.

Hope it helped you.

-Charlie

:)
False,  Scalene triangles have three unequal sides and equilateral have three equal sides

fatima wants to find the value of sin theta, given cot theta equals 4/7. which identity would be best for fatima to use?

Answers

we know that
1+cot ²∅=csc² ∅
cot ∅=4/7
so
1+(4/7)²=csc² ∅
csc² ∅=1+(16/49)
csc² ∅=(65/49)
csc ∅=(√65)/7

remember that
csc ∅=1/sin ∅
sin ∅=1/csc ∅------> sin ∅=7/√65-----> sin ∅=(7√65)/65

the answer is
the best identity to find sin ∅ is
1+cot ²∅=csc² ∅

Answer:

D edge

Step-by-step explanation:

Find the Mean Median Mode and range of each data set that is obtained after adding the given constant. 12,10,15,17,15,9,10,15,12,14,+9. Please show work.

Answers

The given number arranged in order are:
9,  9, 10, 10, 12, 12, 14, 15, 15, 15, 17 
1.  To find the mean, add all the number together and divide the summation by 11[ which is the total number of the figures given]
Mean = [9 + 9 + 10 + 10 + 12 + 12 + 14+ 15 + 15 + 15 + 17] / 11 = 138 / 11
Mean = 12.5
Therefore, the mean is approximately equal to 13.

2. The median of a number refers to the number in the middle of a sorted set of number.
To find the median of a set of numbers, the numbers have to be arranged first in the correct increasing order and the number that falls in the middle will be the median. If two numbers fall in the middle, add the two together and find the average. For the set of number given above, the number that falls in the middle is 12.
Therefore, the median = 12.

3. The mode of a set of number refers to the number in the set, which has the highest frequency of occurrence, that is, it is the number that occur most. Looking at the set of number given above, 15 occurred three different times. Therefore, the mode of the set of number given above is 15.
Mode = 15.

4. The range of a set of number refers to the difference between the highest and the lowest numbers in the set of a given number. It represents the spread of the data. In the set of numbers given above the range is determined thus:
Range = 17 - 9 = 8.
Therefore, Range = 8. 

Mean: 12.545454545455

Median: 12

Range: 8

Mode: 15, appeared 3 times

Largest: 17

Smallest: 9

Sum: 138

Count: 11

A fair dice is rolled 5 times in sequence. what is the probability that you will get exactly the same number for all 5 rollings

Answers

1/7776. The probability of you getting any one number when rolling a dice is 1/6. Since you are rolling the dice 5 times and you are trying to get the same number each time. You would multiply 1/6 5-times. 1/6*1/6*1/6*1/6*1/6=1/7776.

Karen is considering taking out a 20-year loan with monthly payments of $260 at an APR of 5.5%, compounded monthly, and this equates to a loan of $37,796.89. Assuming that the APR and the length of the loan remain fixed, which of these is a correct statement?

Answers

The correct statement is A;If Karen monthly payment $260 the amt of the loan that he is considering taking out would be less than $37,796.89

How to calculate EMI?

The EMI formula is :

[tex]\dfrac{pr(1 + r)^n}{(1 + r)^n - 1}[/tex]

Where r = 5.5/12/100 = 0.00425

p = 37,796.89

and n = 20 x 12 = 240

Putting the values in formula we get'

= (37,796.89x 0.00425 x 2.767)/1.767

= $350

Hence,

The correct statement is A; If Karen monthly payment $260 the amt of the loan that he is considering taking out would be less than $37,796.89

Learn more about the compounded here;

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Answer:If Karen's monthly payment were $240, the amount of the loan that she is considering taking out would be less than $37,796.89.

Step-by-step explanation:

Parallel lines r and s are cut by two transversals, parallel lines t and u.



Which angles are alternate exterior angles with angle 11?

Answers

Answer:

The alternate exterior angles with angle 11 are angle 13 and angle 5.

Step-by-step explanation:

Two angles are called Alternate exterior angles if

1. They are on the exterior side of parallel lines and

2.  Lie on the opposite sides of the transversal line.

It is given that

[tex]r\parallel s[/tex] and [tex]t\parallel u[/tex]

From the figure it is noticed that the angle 13 and angle 5 are on the exterior side of parallel lines and they lie on the opposite sides of the transversal line.

Therefore alternate exterior angles with angle 11 are angle 13 and angle 5.

Answer:

The alternate exterior angles with angle 11 are angle 13 and angle 5.

Step-by-step explanation:

HELP!! Drag values to complete each equation.

Answers

(12²)³ x 12^-4 = 144 which means it is 12² = 144.

12^7 x 12^-5 / 12² which equals 1.

Hope this Helps!!

Answer:

a.[tex]((12)^2)^3\cdot (12)^{-4}=12^2[/tex]

b.[tex]\frac{(12)^7\cdot (12)^{-5}}{(12)^2}=1[/tex]

Step-by-step explanation:

We have to complete each equation

We are given that

[tex]((12)^2)^3\cdot (12)^{-4}[/tex]

[tex](12)^6\cdot (12)^{-4}[/tex]

Using identity

[tex](a^x)^y=a^{xy}[/tex]

[tex](12)^{6-4}=(12)^2[/tex]

Using identity: [tex]a^x\cdot a^y=a^{x+y}[/tex]

[tex]((12)^2)^3\cdot (12)^{-4}=12^2[/tex]

b.[tex]\frac{(12)^7\cdot (12)^{-5}}{(12)^2}[/tex]

[tex]\frac{(12)^2}{(12)^2}[/tex]

[tex](12)^{2-2}=(12)^0=1[/tex]

Using identity: [tex]\frac{a^x}{a^y}=a^{x-y},a^0=1[/tex]

[tex]\frac{(12)^7\cdot (12)^{-5}}{(12)^2}=1[/tex]

Can someone help me in this trig question, please? thanks
A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12

Answers

[tex]\bf \textit{the position of the rider is clearly }20cos\left( \frac{5\pi }{12} \right)~~,~~20sin\left( \frac{5\pi }{12} \right)\\\\ -------------------------------\\\\ \cfrac{5}{12}\implies \cfrac{2+3}{12}\implies \cfrac{2}{12}+\cfrac{3}{12}\implies \cfrac{1}{6}+\cfrac{1}{4} \\\\\\ \textit{therefore then }\qquad \cfrac{5\pi }{12}\implies \cfrac{1\pi }{6}+\cfrac{1\pi }{4}\implies \cfrac{\pi }{6}+\cfrac{\pi }{4}\\\\ -------------------------------[/tex]

[tex]\bf \textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\ -------------------------------\\\\ cos\left( \frac{\pi }{6}+\frac{\pi }{4} \right)=cos\left( \frac{\pi }{6}\right)cos\left(\frac{\pi }{4} \right)-sin\left( \frac{\pi }{6}\right)sin\left(\frac{\pi }{4} \right)[/tex]

[tex]\bf cos\left( \frac{\pi }{6}+\frac{\pi }{4} \right)=\cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}-\cfrac{1}{2}\cdot \cfrac{\sqrt{2}}{2}\implies \cfrac{\sqrt{6}}{4}-\cfrac{\sqrt{2}}{4}\implies \boxed{\cfrac{\sqrt{6}-\sqrt{2}}{4}} \\\\\\ sin\left( \frac{\pi }{6}+\frac{\pi }{4} \right)=sin\left( \frac{\pi }{6}\right)cos\left( \frac{\pi }{4} \right)+cos\left( \frac{\pi }{6}\right)sin\left(\frac{\pi }{4} \right)[/tex]

[tex]\bf sin\left( \frac{\pi }{6}+\frac{\pi }{4} \right)=\cfrac{1}{2}\cdot \cfrac{\sqrt{2}}{2}+\cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}\implies \cfrac{\sqrt{2}}{4}+\cfrac{\sqrt{6}}{4}\implies \boxed{\cfrac{\sqrt{2}+\sqrt{6}}{4}}\\\\ -------------------------------\\\\ 20\left( \cfrac{\sqrt{6}-\sqrt{2}}{4} \right)\implies 5(-\sqrt{2}+\sqrt{6}) \\\\\\ 20\left( \cfrac{\sqrt{2}+\sqrt{6}}{4} \right)\implies 5(\sqrt{2}+\sqrt{6})[/tex]

The exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).

The position

Since the position of the carousel is (x, y) = (20cosθ, 20sinθ) and we need to find the position when θ = 5π/12 = 5π/12 × 180 = 75°

So, substituting the value of θ into the positions, we have

(20cos75°, 20sin75°)

The value of 20cos75°

20cos75° = 20cos(45 + 30)

Using the compound angle formula

cos(A + B) = cosAcosB - sinAsinB

With A = 45 and B = 30

cos(45 + 30) = cos45cos30 - sin45sin30

= 1/√2 × √3/2 - 1/√2 × 1/2

= 1/2√2(√3 - 1)

= 1/2√2(√3 - 1) × √2/√2

= √2(√3 - 1)/4

= (√6 - √2)/4

= (-√2 + √6)/4

So, 20cos75° = 20 × (-√2 + √6)/4

= 5 (-√2 + √6)

The value of 20sin75°

20sin75° = sin(45 + 30)

Using the compound angle formula

sin(A + B) = sinAcosB + cosAsinB

With A = 45 and B = 30

sin(45 + 30) = sin45cos30 + cos45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= 1/2√2(√3 + 1)

= 1/2√2(√3 + 1) × √2/√2

= √2(√3 + 1)/4

= (√6 + √2)/4

= (√2 + √6)/4

So, 20sin75° = 20 × (√2 + √6)/4

= 5(√2 + √6)

Thus, (20cos75°, 20sin75°) = 5 (-√2 + √6), 5(√2 + √6).

So, the exact value of the position of the rider after the carousel rotates 5π/12 is 5 (-√2 + √6), 5(√2 + √6).

Learn more about position here:

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Subtract.

(x + 1) − (−2x − 5)

Answers

3x+6, you have to distribute the negative to get the parentheses away and simplify

Answer:

3x+6

Step-by-step explanation:

you have to distribute the negative to get the parentheses away and simplify

What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HINT! It is NOT a whole number. If you can show me a whole number for a radius where the surface area and volume are equal, then any radius bigger than that will have a larger volume.

To get full points you will need to SHOW me formulas for surface area of a sphere, volume of a sphere, and calculations on how you found your answer.

Answers

we know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²

so
the volume of a sphere=(r/3)*surface area of sphere
therefore

if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

example
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area

3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is <  surface area


how do you do 27?????

Answers

Hey there!

To start, the equation needed to represent this problem would be an equation:
y= ab^x

a represents the initial amount. In this case, the initial amount would be 4 billion. It would be represented as 4 since each 1= one billion.

b represents the rate. Because the problem discusses a growth, convert the rate, 1.9% to a decimal and add 1 to it (add one if it is a growth, subtract one if it is a decay). b would be 1.019.

x represents the time in which the population grows or t.

When you piece this together, your equation should look like:
y=4(1.019)^t

or

Choice A.

Hope this helps and have a nice day! Feel free to ask any questions about my work. :)
The correct answer is:  [A]:  " P(t) = 4 * (1 .019)^t " .
_______________________________________________________
Explanation:
______________________________________________________
Use the formula for "exponential growth" :
______________________________________________________
                 →   " y = A * (1 + r)^t  " ; 
______________________________________________________
  in which:
______________________________________________________
  A  =  the "beginning population" ;

        →  (in number representing "billions of people") ;
 
        →  given the "beginning population" is "4 billion" ;    
   
        →  " A = 4 " ;
______________________________________________________
        r = rate (of change) = 1.9% ;  expressed as a decimal:

 →  "r = rate = 1.9% =  { 1.9 ÷ 100 } ;

       →  {Take the "1.9" ;  & move the decimal point 2 (two) spaces backward }: 

       →    1.9% = 1.9 ÷ 100 = 0.019 ; 

→  " r = 0.019 " ; 

→  " t = time" ; (usually in "years" ; however, all the answer choices provided leave the "t" as it is;  so we shall do so, too. 
________________________________________________________

→  Replace "y"  with: " P(t) " ; 

→  And rewrite the equation of the function with our known values:

          →    " y = A * (1 + r)^t  " ;  
____________________________________________________
→  becomes:  

→  " P(t) = 4* (1 + 0.019)^t " ; 

→  " P(t) = 4 * (1 .019)^t " ;    
____________________________________________________
→ which is:  Answer choice:  [A]:  " P(t) = 4 * (1 .019)^t " .
____________________________________________________

Find the variable of each pair

Answers

A. X=4
B. Y= 24, X= 6

what expression is equivalent to the division expression 3/4 divided by 4/5

Answers

3/4 ÷ 4/5 =

3/4 times 5/4 =

15/16 = .9375


Answer:

3/4 ÷ 4/5 = .75 ÷ .80

Step-by-step explanation:

3/4 ÷ 4/5

= .75 ÷ .80

= 0.9375

help! I will give thanks!

Answers

Mode = 60

Reason: 60 appeared 4 times.
6\000= 60  7/00=70 8/00 =80 9/0=90

If a scare as side lengths of 5 inches what is the lengths of the diagonal to the nearest 10th of in inch

Answers

A 5 by 5 square would have a diagonal equal to

square root (25 + 25) =
square root (50) =
7.07106781 =
7.1 (rounded to nearest 10th of an inch.


Which graph would help solve the equation 5log(x+3)=5

Answers

5log(x+3)=55log(x+3)=5Simplify 5log(x+3)5log(x+3) by moving 55 inside the logarithm.log((x+3)5)log((x+3)5)Simplify the right side of the equation.55Graph each side of the equation. The solution is the x-value of the point of intersection.x=7

The value of x is 7 for the given equation.

What is logarithm?

Logarithm,  a mathematical concept involving multiplication. It is the exponent or power to which a base must be raised to yield a given number.

For the given situation,

The equation is 5log(x+3)=5.

On solving this equation, we can get value of x.

⇒ [tex]5log(x+3)=5[/tex]

⇒ [tex]log(x+3)=1[/tex]

We know that, log 10 = 1

Then,

⇒ [tex]log(x+3)=log10[/tex]

⇒ [tex]x+3=10[/tex]

⇒ [tex]x=7[/tex]

Hence we can conclude that the value of x is 7 and the graph fro the logarithmic equation is shown below.

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Add (13a + 5b) + (a + 5b - 3)

Answers

(13a + 5b) + (a + 5b - 3)

= 13a + 5b + a + 5b - 3
 
= 14a + 10b - 3 

A car is traveling at 48 miles per hour. What is the speed of the car in centimeters per second? (1 mile = 5,280 feet, 1 foot = 12 inches, 1 centimeter = 0.39 inch)

Answers

the speed of the car in centimeters per second based on the information given would be 2,145.8

A car is traveling at 48 miles per hour. What is the speed of the car in centimeters per second? (1 mile = 5,280 feet, 1 foot = 12 inches, 1 centimeter = 0.39 inch)

Solution:

We have 48 [tex] \frac{miles}{hour}  [/tex]

To convert, miles to centimeters.

Let us convert miles to feet and then inches and then centimeters.

1miles=5280feet

And, 1 foot=12inches

So, 5280 feet or 1 miles =12*5280inches

So, 1miles=63360inches

Now, Let us convert inches to centimeters

1centimeter=0.39inches

Or, 1 inch= [tex] \frac{1}{0.39}  [/tex] centimeter

So, 63360inches (or 1 mile)= [tex] \frac{63360}{0.39}  [/tex] centimeter

1mile or 63360inches=162461.54centimeter

1mile=162461.54 centimeter

We have, 48 [tex] \frac{miles}{hour}  [/tex]

We have, 48 *[tex] \frac{162461.54 centimeter}{60minutes}  [/tex]

We have, 48* [tex] \frac{162461.54 centimeter}{60*60seconds}  [/tex]

So,  We have, 48* [tex] \frac{162461.54 centimeter}{3600seconds}  [/tex]

=48*[tex] \frac{162461.54}{3600}  [/tex][tex] \frac{centimeters}{second}  [/tex]

=48*45.13[tex] \frac{centimeters}{second}  [/tex]

=2166.15[tex] \frac{centimeters}{second}  [/tex]

Answer:= Speed of the car in centimeters per second is 2166.15 centimeters/second

The cross-sectional area parallel to the bases of the two figures above is the same at every level. Find the volume of the cone, to the nearest tenth.

A.26.5cm3
B.44.2cm3
C.79.5cm3
D.132.5cm3

Answers

Para resolver este problema, debe aplicar el procedimiento que se muestra a continuación:

 1of the first figure in the image attached, is:

 a ^ 2 = b ^ 2 + c ^ 2
 c =
 c=√(6 cm)^2-(4.8 cm)^2
 c=3.6 cm

 2. The area of the base of the first figure is:

 A=BxH/2
 A=3.6x4.8/2
 A=8.64 cm^2

 3. Therefore, the volume of the cone is:

 V=(8.64 cm^2)(9.2 cm)
 V=79.5 cm^3

 Therefore, the answer is: C. 79.5 cm^3

 

Which equation in point-slope form contains the point (4, –1) and has slope 3? y – 1 = 3(x + 4) y – 4 = 3(x + 1) y + 1 = 3(x – 4)

Answers

Hello!

The equation for point-slope form is 

y - b = m(x - a)

m is the slope
(a, b) is a point the line goes through

Put in the values into the equation

y - -1 = 3(x - 4)

Simplify

y + 1 = 3(x - 4)

The answer is C) y + 1 = 3(x - 4)

Hope this helps!

Answer:

the answer is option d y+1 =3 (x-4)

the probability of winning the game is 7/10. What is the probability that they will lose?

Answers

3/10 is the probability of them losing.

The probability of losing the game is 3/10 or 0.3 when the probability of winning is 7/10, because the total probability must always equal 1.

If the probability of winning the game is 7/10, then the probability of losing the game is the complement of the probability of winning. This means we subtract the probability of winning from 1. Therefore, the probability of losing the game is 1 - 7/10 = 3/10 or 0.3. This is because the sum of the probabilities of all possible outcomes in a probability distribution must equal 1.

Tourists covered 255 km for a 4-hour ride by car and a 7-hour ride by train. What is the speed of the train, if it is 5 km/h greater than the speed of the car?

Answers

Speed of the car = 255 ÷ 4 = 63.75 km/h

Speed of the train = 63.75 + 5 = 68.75 km/h

Answer: 68.75 km/h

[tex]\\ \text{Let the speed of the car is x km/h}\\ \text{Then, the speed of the train is x+5 km/hr}\\ \text{Now, 4 hr is the time of the car}\\ \text{and 7 hour is the time of the train}\\ \text{We know the formula}\\ \text{Distance }= \text{Velocity }\times \text{ time}\\ \text{Distance travelled by car is 4x}\\ \text{Distance travelled by train is }7(x+5)\\ \text{The total distance is given by 255 km. Hence, we have}\\ 4x+7(x+5)=255\\ 4x+7x+35=255\\ 11x=220\\ x=20[/tex]

The speed of the car is 20 km/hr and hence the speed of the train is 2+5=25 km/hr.

The speed of the train is given by 25 km/hr.

what is 3 ^9? how to solve?

Answers

3⁹ is the same as doing:

3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3

What I would do it is narrow it down piece by piece. 

3 * 3 * 3 = 27. Do that 3 times, now you are left with:

27 * 27 * 27

27 * 27 or 27² = 729.

That leaves you with:

729 * 27

You can multiply by hand or use a calculator to get your answer of 19683.

To check your answer, plug 3⁹ into a calculator. Your answer should match this. 

Roman saves $500 each year in account earning interest at an account earning interest at an annual rate of 4% compounded annually.How much interest will the account earn at the end of each of the first 3 years?

Answers

500 x(1.04)^3=562.432
562.432-500= 62.432
62.432 / 3= 20.8106

If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)

Answers

Dividing the function given, P(x) by (x-5) will give us the following
P(x)/(x-5)
=(2x^3-3x+5)/(x-5)
=(2x^2+10x+47)+240/(x-5)
thus the remainder is:
240

Final answer:

Using the Remainder Theorem, after substituting 5 into the polynomial p(x), we find that the remainder when p(x) is divided by (x - 5) is 240.

Explanation:

To find the remainder of p(x) divided by (x - 5), we can use the Remainder Theorem. The Remainder Theorem states that the remainder of a polynomial p(x) divided by (x - a) is p(a). Thus, we need to evaluate p(5).

Let's substitute x with 5 in the polynomial p(x):

p(5) = 2(5)^3 - 3(5) + 5
= 2(125) - 15 + 5
= 250 - 15 + 5
= 240.

Therefore, the remainder when p(x) is divided by (x - 5) is 240.

which of the points satisfy the linear inequality graphed here?

a) (0,0)
b) (10,0)
c) (-10,0)
d) (10,10)

Answers

only
c) (-10,0)
because that is the only point in the shaded region.

The sum of the measures of two angles of a scalene triangle is calculated, and the result is the same as the measure of one of the external angles of a triangle. Which pair of angle measures was calculated?

Answers

the complete question in the attached figure

we know that
The Exterior Angle Theorem establishes that the measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.
so

the answer is the option
A. the remote interior angles

The Exterior Angle Theorem establishes that the measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.

so

the answer is the option

A. the remote interior angles

what is 3√27x^9

3x^6
3x^3
9x^3
9x^6

Answers

The first step for solving this expression is to know that the root of a product is equal to the product of the roots of each factor. Knowing this,, the expression becomes the following:
[tex] \sqrt[3]{27} \sqrt[3]{ x^{9} } [/tex]
Write the number in the first square root in exponential form with a base of 3.
[tex] \sqrt[3]{ 3^{3} } \sqrt[3]{ x^{9} } [/tex]
Now reduce the index of the radical and exponent in the second square root with 3.
[tex] \sqrt[3]{ 3^{3} } [/tex] x³
Lastly,, reduce the index of the radical and exponent with 3 to get your final answer.
3x³
This means that the correct answer to your question will be option B.
Let me know if you have any further questions.
:)

The value of the expression ∛27x⁹ is 9x³.

The given expression is ∛27x⁹.

Cube root of twenty seven times of x power nine.

We can split the terms inside the cube root.

27=3×3×3

∛x⁹ = x³

Now let us plug in the above expression.

= 3√3³ × x⁹

= 3√3³ × √ x⁹

= 3 × 3 × x³

= 9x³.

Hence, the value of the expression ∛27x⁹ is 9x³.

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Will give brainliest! Which are simplified forms of the expression sec^2theta sin2theta
Which is the second answer? I already got the first one

Answers

[tex]\bf \cfrac{sin(2\theta )}{cos^2(\theta )}\implies \cfrac{1}{cos^2(\theta )}\cdot sin(2\theta )\implies sec^2(\theta )sin(2\theta )\\\\ -------------------------------\\\\ 2tan(\theta )\implies \cfrac{2sin(\theta )}{cos(\theta )}\implies \cfrac{2sin(\theta )cos(\theta )}{cos(\theta )cos(\theta )}\implies \cfrac{2sin(2\theta )}{cos^2(\theta )} \\\\\\ \cfrac{1}{cos^2(\theta )}\cdot sin(2\theta )\implies sec^2(\theta )sin(2\theta )[/tex]

Answer:

C) 2 tan θ

E) [tex]\frac{sin2[theta]}{cos^2[theta]}[/tex] (it wouldn't let me do the actual θ symbol)

Step-by-step explanation:

This is essentially what the other person said, but in a better format.

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