Calculate the volume. Round your answers to the nearest tenth if necessay

Answer are in order:

[tex]\left(3x+4\right)\left(x+2\right)[/tex]

[tex]3\left(3x-1\right)\left(2x+5\right)[/tex]

[tex]\left(4x+5\right)\left(4x-5\right)[/tex]

[tex]\left(3x+2\right)\left(2x-5\right)[/tex]

Step-by-step explanation:

[tex]3x^2 + 10x+ 8[/tex]

[tex]\mathrm{Break\;the\;expression\;into \;groups}[/tex]

[tex]=\left(3x^2+4x\right)+\left(6x+8\right)[/tex]

[tex]\mathrm{Factor\;out\;x\;from\; 3x^2+4:}x(3x+4)[/tex]

[tex]\mathrm{Factor\;out\;2\;from\;6x+8:2(3x+4)}[/tex]

[tex]=x\left(3x+4\right)+2\left(3x+4\right)[/tex]

[tex]=\left(3x+4\right)\left(x+2\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]18x^2+39x-15[/tex]

[tex]\mathrm{Factor\;out\;common\;term\;3:3(6x^2+13-5)}[/tex]

[tex]18x^2+39x-15[/tex]

[tex]\mathrm{Factor\;6x^2+13x-5:(3x-1)(2x+5)}[/tex]

[tex]=3\left(3x-1\right)\left(2x+5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]16x^2-25[/tex]

[tex]\mathrm{apply\;exponents\;rules}[/tex]

[tex]=\left(4x\right)^2-5^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]\left(4x\right)^2-5^2=\left(4x+5\right)\left(4x-5\right)[/tex]

[tex]=\left(4x+5\right)\left(4x-5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]6x^2-11x-10[/tex]

[tex]\mathrm{Break\;the\;expression\;into\;groups}[/tex]

[tex]=\left(6x^2+4x\right)+\left(-15x-10\right)[/tex]

[tex]\mathrm{Factor\;out\;2x\;from\;6x^2+4x:2x(3x+2)}[/tex]

[tex]\mathrm{Factor\;out\;-5\;from\;-15x-10:-5(3x+2)}[/tex]

[tex]=2x\left(3x+2\right)-5\left(3x+2\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}3x+2[/tex]

[tex]=\left(3x+2\right)\left(2x-5\right)[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

Answer:

[tex]\bold{Cubic \: eq {}^{n} = x {}^{3} - ( \alpha + \beta + \gamma )x + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma )} \\ [/tex]

Sum of zeroes ,

[tex] \alpha + \beta + \gamma = ( - 3) + 4 + 6 = 7[/tex]

sum of product of zeroes taken two at a time ,

[tex] \alpha \beta + \beta \gamma + \gamma \alpha = ( - 3)(4) + (4)(6) + (6)( - 3) \\ = > - 12 + 24 - 18 \\ = > - 6[/tex]

product of zeroes ,

[tex] \alpha \beta \gamma = ( - 3)(4)(6) = - 72[/tex]

Substituting the values in the equation above , we get

[tex]\bold{x {}^{3} - ( \alpha + \beta + \gamma )x {}^{2} + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma ) }\\\\\bold{ ⇢ x {}^{3} - 7x {}^{2} + ( - 6)x - ( - 72)} \\\\\bold\blue{ ⇢x {}^{3} - 7x {}^{2} - 6x + 72}[/tex]

hope helpful~

Answer:

what is the answer

Step-by-step explanation:

I'm doing the test right now

Solution:

Note that:

Divide the diameter both sides.

Substitute the diameter in the equation.

Answer:

the answer is 2.6 show in the workings below

.

Answer:

598,402

Step-by-step explanation:

Let y = population at year x

x is the number of years since 1953, so for 1993, x = 40

a = population in 1953

y = a(1.08)^x

In 1993, the population is 13,000,000, so y = 13,000,0000 when x = 40.

13,000,000 = a(1.08)^40

13,000,000 = 21.7245a

a = 598,402

Answer: 598,402

Answer:

C

Step-by-step explanation:

400-160=240

240/4=60

Step-by-step explanation:

1) Simplify the fractions....

\begin{gathered}2^{-3} = 1/8\\2^{-2} = 1/4\end{gathered}

2

−3

=1/8

2

−2

1/8 + 1/4 = 3/8

Answer:

Answer:

x = 7.5

Step-by-step explanation:

Use algebraic manipulation (and remember that anything you do to one side must be done to the other, in most cases):

34 + 2x = 49

-34          -34  

2x = 49 - 34

2x = 15

x = 7.5

Answer:

$100.70

Step-by-step explanation:

The difference between the total price ($434.50) and the sales price ($415) is the tax ($19.50).  To find the sales tax as a percentage of the sales price, divide the sales tax by the sales price and then multiply by 100:

19.50415(100)=4.70

Answer:

x^2

Step-by-step explanation:

(x^4/3)(x^2/3)

When we multiply the exponents with the same base, we add the exponents

x^(4/3+2/3)

x^(6/3)

x^2

Answer:

Area of a triangle=1/2bh

>>1/2×3×6=9

Area of rectangle=L×B

=7*6=42

=7×4=28

Surface Area=2(9)+2(42)+2(28)

=18+84+56=158cm^2

Answer:

448

Step-by-step explanation:

[(8x8)4]+[(8x10)2]

448

Answer:

The correct answer is 36 ounces

Step-by-step explanation:

Hey there!

-√4x = 100

WELL….
-√4 = -2

NEW EQUATION:
-2x = 100

DIVIDE -2 to BOTH SIDES

-2x/-2 = 100/-2

CANCEL out: -2/-2 because it give you 1

KEEP: 100/-2 because it help solve for the x-value (mainly give you it)

NEW EQUATION: x = 100/-2

SIMPLIFY IT!

x = -50

Therefore, your answer is: x = -50

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

B-X=-50

Step-by-step explanation:

Explanation:

The square root undoes the squaring operation.

Think of a square that is 1 ft by 1 ft. Its area would be 1*1 = 1 sq ft.

Now imagine you told your friend "the area is 1 sq ft" and you didn't relay the side lengths. Your friend would use the square root to find the side length is 1 ft.

I'm not sure why your teacher is using plus minus notation when that is not correct. Saying [tex]\sqrt{1} = \pm 1[/tex] is not true. The result of a square root is simply one value only. If your teacher meant [tex]\pm \sqrt{1} = \pm 1[/tex], then it would be a true statement; however, there's no need to involve negative numbers for this problem.

Answer:

see below.

Step-by-step explanation:

letting u = x - 4 means the equation can now be expressed as a quadratic

u² - u - 6 = 0 ← quadratic equation in u

Answer: (D)

Step-by-step explanation:

Answer:

This is how i think you do this

Step-by-step explanation:

6439e^.04x8= 8867.32, or

e^.04= 1.0408 = 6439 x (1.0408^8) = 8,867.33.

the first one would be if she is receiving multiple payments ove the year, and the second one is just the "4% commended annually per year". its been a minute since ive actually had to do this, but that seems right to me. so she will have enough.

answer : (7b+9)(7b-9)

Answer: 600!

Step-by-step explanation:

Answer:

The probability the 1st player does not get a blue chracter is 9/14.

Step-by-step explanation:

So there is a total of 14 characters.

9 of them are not blue

9/14 = .642857 (~64%, not the answer since it's not asking for percents)

The probability the 1st player does not get a blue chracter is 9/14.

Equations 1 and 4 would produce a parabola as they follow the general equation of a parabola.

Given equations are:

[tex]1)-5x^2+4x-7y+14 = 0\\\\2)-x^2 + 6x +y^2-8=0\\\\3)9x^2-12xy+4y^2+4x-y+5=0\\\\4)12x+6y-5y^2+14=0[/tex]

The general equation of a parabola

[tex]y = a(x^2+h^2-2xh)+k\\[/tex] or [tex]x= a(y^2+k^2-2yk)+h[/tex]

where h and k are vertices of the parabola.

Each equation follows the same pattern as the general equation of a parabola except the second and third equation

Therefore, equations 1 and 4 would produce a parabola as they follow the general equation of a parabola.

To get more about parabola visit:

https://brainly.com/question/4148030

Answer:

A. –5x2 + 4x – 7y + 14 = 0

C. 9x2 – 12xy + 4y2 + 4x – y + 5 = 0

D. 12x + 6y – 5y2 + 14 = 0

I got it right on edge trust me

The given function is an exponential parent function the correct option is C.

Algebraic expressions appear in the exponent of exponential functions. The formula for their parent function is y = bx², where b is any nonzero constant. The graph of the parent function, y = ex².

In the graph, we can see that the function is varying exponentially from -10 to 10.

Therefore, the given function is an exponential parent function the correct option is C.

To know more about an exponential parent function follow

https://brainly.com/question/2456547

#SPJ2

Answer:

37.699km

Step-by-step explanation:

C=piDor2piR

D=2R(6×2)=12

C=22/7×12or2×22/7×6

ans=37.699

Answer: $1,200,000

Step-by-step explanation:

50% would be 1 million, and 10% of 2 million would be 200,000, so if you add those two together, you get the total of $1,200,000

Answer:

13√2

Step-by-step explanation:

The longest segment that can be drawn is a "diagonal" connecting two opposite "corners" at the top and bottom.This is similar to finding the length of a diagonal of a rectangle using the Pytagoren Theorem. However, this distance is in 3-space and is given by:d =√(152 + 82 + 72) = √338 = √(169 * 2)  = 13√2 cm.

Known facts:

Variables:

Set equation based on known facts and variables:

  y = 50x + 50, 50x is the rate at which it grows depending on

   the week and 50 is the initial amount there

Hope that helps!