Factor completely 9x3 + 36x2 - x - 4.
(3x + 4)(3x – 4)(x + 1)
(3x + 1)(3x - 1)(x + 4)
(9x2 - 1)(x + 4)
-
(3x + 1)(3x – 1)(x – 4)
-

You can do this problem in two ways.
Either the long way or the short and easy way.

Here is the easy way:

You do 180x1.06 to get you their total of $190.80

Or you can do the slightly longer way which finds you the tax amount which then you can add onto the total:

You do 180*0.06 which gets you $10.80 of tax. $10.80 is how much tax they have to pay on top of the $180, then we can do 180+10.80 to get us the grand total of $190.80.

Happy to help

Answer:

Rs. 275

Step-by-step explanation:

4 dozens = 4 × 12 = 48

4 dozens pencils = 48 pencils

48 pencils =  Rs. 264

1 pencil = Rs. 264÷48

1 pencil = Rs. 5.50

50 pencils = 5.50×50

50 pencils = Rs. 275

Answer:

Rs. 275

Step-by-step explanation:

4 dozens = 48 pencils

48 pencils = Rs. 264

Find the price of 1 pencil to calculate the price of 50 pencils.

264 ÷ 48 = 5.5

1 pencil = Rs. 5.5

50 x 5.5 = 275

50 pencils = Rs. 275

hope this helps!! p.s. i really need brainliest :)

Answer:

24 oz

Step-by-step explanation:

16 oz to a pound

16 x 1.5 = 24 oz

Answer:

24 ounces

Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24

p=FG+FH+HG =5.8+5.8+6 is a numerical expression to represent the approximate perimeter of triangle FGH.

The perimeter of a geometric figure is the sum of its sides.

The question  gives:

Therefore the perimeter will be the sum of 5.8, 5.8 and 6. You can write as:

                                         p=FG+FH+HG

                                         p= 11.6+6=17.6

Read more about the perimeter here:

https://brainly.com/question/24382052

Answer:

164.

Step-by-step explanation:

We can break this shape into a rectangle and a trapezoid.

Area for a rectangle is l x w, or in this case, 8 x 16.

8 x 16 = 128, so the rectangle’s area is 128.

Area for a trapezoid is ((a+b)/2)h.

We do not have all the info we need to solve this equation yet. We need the measurement of two sides of the trapezoid. This is 16 - 12, or 4. The other side of the trapezoid we need to find is 16 - 8, or 8.

Now we can plug in the numbers.

((8 + 10)/2)4

(18/2)4

9 x 4

36

Now we can add up the areas of both shapes to find the answer.

36 + 128 = 164, so the answer is 164.

Answer:164

Step-by-step explanation:

step 1: divide the irregular shape into regular shapes in this case Triangle and two rectangles

step 2: Calculate the individual areas for the shapes the area of the rectangle is (128) because the sides 16 and 8 add up to 128 as area.For the smaller rectangle the area is (32) since 8 times 4 is equal to 32 and lastly for the triangle the area is four since the base of 2 times the height of 4 equals 8 and 8 divided by two is 4 so the are of the triangle is (4)

step 3: Combine all the areas 128+32+4=64 therefore the area for the irregular figure is (164)

Answer:

Interactive

Step-by-step explanation:

The distance from the earth to venus is an illustration of the sine ratio

The distance from the earth to venus at that time is 1.12 au

See attachment for the diagram that illustrates the complete question.

Start by calculating the angle V using the following sine ratio

SE/sin(V) = VS/sin(E)

This gives

1/sin(V) = 0.723/sin(39.4)

Take the inverse of both sides

sin(V)/1 = sin(39.4)/0.723

Evaluate the quotient

sin(V) = 0.8779

Take the arcsin of both sides

V = 61.4

Calculate the measure of angle S

<S + <V + <E = 180

This gives

<S  = - <V - <E + 180

Substitute known values

<S  = -61.4 - 39.4 + 180

<S  = 79.2

The distance (VE) is then calculated using the following sine ratio

VE/sin(S) = VS/sin(E)

This gives

VE/sin(79.2) = 0.723/sin(39.4)

Multiply bot sides by sin(79.2)

VE = sin(79.2) * 0.723/sin(39.4)

Evaluate the product

VE = 1.12

Hence, the distance from the earth to venus at that time is 1.12 au

Read more about sine ratios at:

https://brainly.com/question/2920412

Answer:

C

Step-by-step explanation:

Based on my knowledge, thast what i think it is, but im not sure

Answer:

$1218

Step-by-step explanation:

Our info is that Mr. Young's monthly income is $4,200 per month. Now if we multiply this by .29 (the %29 percent he can spend) We get $1218

Answer:

The complementary angle is 63 degrees and

The supplementary angle is 153 degrees.

Step-by-step explanation:

A complementary Angle has a total of 90 if you subtract 27 from 90 you will get 63

A supplementary adds up to 180 degrees so subtract 27 and you will get 153.

Hope that helps.

Answer:

Supplementary angle = 153°

Complementary angle = 63°

Step-by-step explanation:

Supplementary angles: Two angles that sum to 180°

Complementary angles: Two angles that sum to 90°

Given angle = 27°

⇒ Supplementary angle = 180° - 27° = 153°

⇒ Complementary angle = 90° - 27° = 63°

Step-by-step explanation:

11

because the first digit after the point make the the nearest whole number

if the digit is up to 5 and above then we can round up the next digit but if it's less than 5 you can't do anything

Answer:

The answer is 140 degrees.

Step-by-step explanation:

It is closer to 90 degrees than 180 degrees, but it is greater than 90 degrees and bigger than 180 degrees.

Hope this helps.

Answer:

x= -6, -2

Step-by-step explanation:

Answer:

x=-6, x=-2

Step-by-step explanation:

Answer:

sinkhole valley's typically dont collect water where as sink holes are caused by water displacement of soil

Answer:

The answer is b. 4*3 2/5.

Step-by-step explanation:

It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3

Step-by-step explanation:

the coordinates of the points are

(1, - 6 ), (2, - 3 ), (3, 0 ), (4, 3 ), (5, 6 )

consider the values of y

- 6, - 3, 0, 3, 6

there is a common difference between consecutive terms, that is

- 3 - (- 6) = 0 - (- 3) = 3 - 0 = 6 - 3 = 3

this indicates the sequence is arithmetic with recursive rule

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + d ( d is the common difference )

here d = 3 , then recursive formula is

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; with a₁ = - 6

Answer:

12,900

Step-by-step explanation:

12.9 x 1000 = 12,900

Answer:

12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.

Answer:

Bro you have got the answer as 17 I don't know how

Step-by-step explanation:

Please mark me as brainliest

The radius of a circle is the length between a circle's centre and edge.

The diameter of a circle is its radius doubled.

The given diagram tells us the radius is 4.2 cm.

To solve for the diameter, multiply the given radius by 2:

4.2 × 2 = 8.4

Therefore, the diameter of the circle is 8.4 cm.

Radius: 4.2 cm

Diameter: 8.4 cm

Answer: the answer is 0.35 because

Square root of 546 is 23.3666428911

23.3666428911 divided by 67 is 0.34875586404

0.34875586404 rounded to 2 decimal points is 0.34875586404

the answer I had is 0.3487. first of all you have to find the square root of 546 which is 23.366 then you divide it by 67 which will give you 0.3487

The question refers to the speed of sound waves. The expression that shows the waves from the fastest to the slowest is option A. See attached for full question

A sound wave is the rhythm of disruption induced by the flow of energy as it propagates away from the source of the sound across a medium.

Option A - is the correct answer because the temperature of a medium ( which may be air, water, or solid matter) affects the speed at which waves of sound travel through it.

The faster sound waves flow through a medium, the higher its temperature. This is why Wave X will pass through the fastest at 33°C, followed by Wave W at 15°C, etc.

Learn more about Sound Waves at:
https://brainly.com/question/1199084

Answer:

C. Wave X --> Wave W --> Wave Y --> Wave Z

Answer: [tex]\bold{-\sqrt{5}-7\sqrt{3}}}[/tex]

Step-by-step explanation:

[tex]\left(3\sqrt{5}-4\sqrt{3}\right)-\left(3\sqrt{3}+4\sqrt{5}\right)[/tex]

[tex]=3\sqrt{5}-4\sqrt{3}-3\sqrt{3}-4\sqrt{5}[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:3\sqrt{5}-4\sqrt{5}=-\sqrt{5}[/tex]

[tex]=-\sqrt{5}-4\sqrt{3}-3\sqrt{3}[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}[/tex]

[tex]{=-\sqrt{5}-7\sqrt{3}}[/tex]

Answer:

x > 34

Step-by-step explanation:

Let x be the width of the picture frame

It then follows that the length = x + 7

Therefore, our inequality is:

[tex]2(x+7) +2x > 150\\2x+14+2x > 150\\4x > 136\\x > 34[/tex]

For all values of x greater than 34 the perimeter is greater than 150 inches.

Answer:

x is greater than 34 inches.

Step-by-step explanation:

Let x = width, then the length = x+7 inches.

Perimeter =  2(W + L) = 2(x + x + 7) = 4x + 14 , so:

4x + 14 > 150

4x > 150 - 14

4x > 136

x > 34.

Answer:

93 will the answer

Step-by-step explanation:

yes htey are good

The earned income is $80,000 and the capital income is $5,000. Then the correct option is B.

A profit in the value of an asset then an investor can make a profit by selling an asset. Then selling price of an asset must be greater than the cost of an asset.

Padraig is a financial advisor.

He earned a salary of $80,000 last year and sold stocks for $5,000.

A salary of $80,000 is known as earned income because of employment bases.

$5,000 is a capital gain because this is obtained from the selling of stocks.

The income gained by the interest income, rental income, or dividend income is known as passive income.

More about the capital income link is given below.

https://brainly.com/question/14103167

Answer:

20 containers

Step-by-step explanation:

5L =  5000ml

so,

5000/250 = 20 containers

I hope my answer helps you.

fill 5L tank using 250 ml container .

how many full containers are required to fill the tank.

1 L= 1000 mL

1000 mL/250mL = 4

1 L= 4 full containers

4 containers x 5 liters = 20 full containers.

so, 20 full containers are required to fill the fish tank.

Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are:

The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].

The desired probability is P(B|A), hence:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]

0.25 = 25% of seniors who took a precalculus course also took a statistics course.

More can be learned about conditional probability at https://brainly.com/question/14398287

Answer:

y=18

x=14.4

Step-by-step explanation:

Answer:

7.50 is the answer to the question

Answer:

$7.50 for 3 bottles of water.

Step-by-step explanation:

It is given that 4 bottles of water costs $10. Find the unit price per bottle of water, by simply dividing 4 from both the bottle of water as well as the cost:

(4 bottles of water/$10)/(4/4) = (1 bottles of water/(10/4)) = 1 bottles of water/2.5

Each bottle costs $2.50

Check. Multiply the unit price per amount of units bought:

2.50 x 4 = 10

Next, find the unit price for 3 bottles. Multiply the unit price with the amount of bottles bought:

$2.50 x 3 = $7.50

$7.50 is your answer.

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