A cube has side length x. one side of the cube is increased by 4 inches, and another side is doubled. the volume of the new rectangular prism is 450 cubic inches. the equation 2 x cubed 8 x squared = 450 can be used to find x. what was the side length of the original cube? use a graphing calculator and a system of equations to find the answer.

The length of TV would be  [tex]y^{2}[/tex] + 2y -1.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given parallelogram STUV,

The length of TW = [tex]y^{2}[/tex]

WV = 2y - 1

The length of TV = TW + WV

=  [tex]y^{2}[/tex] + 2y -1

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Answer:

B=hyperbolic geometry

The radius of the circle is

[tex] \sqrt{ {1}^{2} + {( - 3)}^{2} } = \sqrt{10} [/tex]

meaning that

[tex] \sin( \theta ) = \frac{ - 3}{ \sqrt{10} } [/tex]

Thus,

[tex] \csc \theta = - \frac{ \sqrt{10} }{3} [/tex]

The value of csc θ is  √10/ (-3).

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

As,

(1,−3) is in quadrant 4 and csc is negative.

Using Pythagoras,

H=√ 1² + (-3)²

H= √10

So, cosec θ= H/P

                  = √10/ (-3)

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Answer:

If you're asking for the interest:

a) 960

b) 80

c)2.63 approx.

Step-by-step explanation:

interest = principal x rate x time OR [tex]I = prt[/tex]

TIME IS IN YEARS.

Thus, the first would be [tex]I = 4000 *4 *6%[/tex]% = 960

Second: 4 months = [tex]\frac{1}{3}[/tex] year

I = 4000x[tex]\frac{1}{3}[/tex]x6% = 80

Third: t = 4 days =[tex]\frac{4}{365}[/tex]year

I = 4000x6%x[tex]\frac{4}{365}[/tex] ≈ 2.63

Answer:

6.2172

Step-by-step explanation:

sin129=h/8

h=8(sin129)

8 x 0.77714596... =

6.2172

I just did it.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The height of the triangle is 6.2172 cm.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given diagram let the centre of the circle be represented by O, while the point at which line segment h and the circle intersect be represented by B. Also, the point at which the 90° angle is formed is represented by A.

Now, in the ΔABO, for the ∠AOB, the sine ratio of the trigonometric function can be written as,

sin(θ) = perpendicular / Hypotenuse

sin(51°) = AB / OB

sin(51°) = h/ 8 cm

8cm × sin(51°) = h

h = 6.2172 cm

Hence, the height of the triangle is 6.2172 cm.

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Answer:

false

Step-by-step explanation:

falswe

Answer:

this is the answer

Step-by-step explanation:

6x+1=0

6x=-1

x=-1/6

x=0,166

7x=7×x

9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

Answer:

C and F

Step-by-step explanation:

2×2+6×2=16

×=2

C ) 2×2+6×2+9=25 ×=2

F) (2+3)2=25 ×=2

Answer:

[tex]b + n = 18[/tex]

[tex]6b + 5n = 101[/tex]

Answer:

LM=25

MN=12

Now,

(M एउटै विन्दु हो)

LM+MN= LN

25+12=37

The unit rate is the rate for one of something (Taken from HMHCO).

For instance, you could say that Bob can make 6 gift cards in 3 hours. The unit rate would be 2 gift cards per hour. We solved for this by dividing both values by 3.

3 dollars per toy

This is a unit rate. Why? Because it gives us the rate, 3 dollars, and it is for one of something, which this case would be toys.

1 toy per 5 dollars

This is not a unit rate. Why? We still get the rate, 1 toy, but this time it isn't for one of something, which in this case is dollars. It is a rate for 5 dollars, not 1 dollar.

1 toy per 5 dollars

Answer:

minimum value is 3, maximum value is 4.459

Step-by-step explanation:

[tex] log_{2}(8) = \frac{ log(8) }{ log(2) } = 3[/tex]

[tex] log_{2}(22) = \frac{ log(22) }{ log(2) } = 4.459[/tex]

The slopes of perpendicular lines are negative reciprocals is proved.

An equation of a straight line is given by

y = mx +c

It is given that

Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular.

Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

The slopes of lines PQ and P’Q’ can be determined using the formula

[tex]\rm m = \dfrac{ v _2 - v _1 }{ x _2 -x _1 }[/tex]

The product of these slopes is -1 .

This product shows that the slopes are negative reciprocals

Therefore , The slopes of perpendicular lines are negative reciprocals is proved,

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Answer:

  (4, -2)  (see attached)

Step-by-step explanation:

Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.

__

The components of the vectors are ...

  u  = (1, -2)

  v = (-6, -6)

Then the components of the vector sum are ...

  2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)

  2u -1/3v = (4, -2)

The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.

One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.

The resultant is in red in the attachment.

The answer is (4, -2) hope this helps!

Answer:

Volume = (1/2)[tex]x^{3}[/tex]           [(1/2)x^3]

Step-by-step explanation:

The volume of a right rectangular prism is given by:

Volume = (length)*(width)*(height)

Volume = (x)*(x)*((1/2)x)

Volume = (1/2)[tex]x^{3}[/tex]

A cheesecake has equally sized slices. Each slice is a different flavor. The cheesecake has 12 slices.

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = πr²

In order to calculate the total area of the cheesecake, since it's a circle its area is given by:

cheesecake area =  πr²

cheesecake area =  π(10/2)² =  π(5)²

cheesecake area = 25 π square inches

Therefore the number of slices is the ratio of the cheesecake total area by the area of each slice:

The number of slices = 25 π/(25 π/12)

The number of slices = 12

The cheesecake has 12 slices.

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Answer: 12 slices

Step-by-step explanation:

im a year late woo hoo

The area bounded by the curves y = 8x – x² and y = 7 will be 36 square units.

The complete question is given below.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The curves are given below.

y = 8x – x²

y = 7

By solving the equations 1 and 2, then we have

       8x – x² = 7

x²  – 8x + 7 = 0

(x – 1)(x – 7) = 0

                 x = 1, 7

Then the area bounded by the curves y = 8x – x² and y = 7 will be

[tex]A = \int _1^7 [(8x - x^2) - 7] \ dx\\\\A = \left [ 4x^2 - \dfrac{x^3}{3} - 7x \right ]_1^7\\\\A = \left [ 4 * 7^2 - \dfrac{7^3}{3} - 7*7 \right ] - \left [ 4*1^2 - \dfrac{1^3}{3} - 7*1 \right ]\\\\[/tex]

On further solving we have

A = 32.667 + 3.333

A = 36 square units

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[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: 2 {x}^{2} - 1[/tex]

plug in the value of x :

[tex]\qquad \sf  \dashrightarrow \: 2(3) {}^{2} - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2(9) - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 18 - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 17[/tex]

The required value is 17

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{Option B, 17}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{2x}^2\textsf{ - 1}[/tex]

Find: [tex]\textsf{When x = 3}[/tex]

Solution: In order to find the value when x is equal to 3 we just need to equate any x to the value of 3 and simplify.

Plug in the values

Simplify the expression

Therefore, the answer that would make most sense would be option B, 17.

[ ISN} and {TSW} so the answer is D

Answer:

length = 10 in, width = 6 in

Step-by-step explanation:

Let the width be x.

Then, length = (x+4)

Area = 60 in²

Area of a rectangle = width × length

60 = x × (x+4)

60 = x² + 4x

x² + 4x - 60 = 0

Splitting the middle term :-

x² + 10x - 6x - 60 = 0

x (x + 10) - 6 ( x + 10) =0

(x + 10) ( x - 6)

x = -10 (doesn't fulfill our requirement)

x = 6

So, width = 6 in

length = 6+4 = 10 in

Answer: Probability = 90%

Step-by-step explanation:

In a drawer we have:

2 black shirts

7 white shirts

11 gray shirts

If we would randomly pick a shirt, what are the chances of it not being black?

To do that, we first need to calculate the probability of getting a black shirt.

To calculate that, we need to divide the number of black shirts by the total number of shirts.

Black shirts = 2

Total shirts = 2 + 7 + 11 = 20

That will be 2 black shirts divided by 20.

We get 0.1

If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.

Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.

And that will be 90% chances of not getting a black shirt.

Probability = 90%

Hope I Helped!

Answer:

p = 13

Step-by-step explanation:

The mean of 5, 11, 6, 4, 7, 10, p is 8

So 8 = 5+11+6+4+7+10+p divided by 7.

So 56 = 43+p

Therefore p = 56-43

                    = 13

Hope I helped

⇒ 5 + 11 + 6 + 4 + 7 + p + 10 / 7 = 8

⇒ 43 + p = 56

⇒ p = 13

The value of p is 13.

Answer:

8 feet

Step-by-step explanation:

you have to calculate :(19+2x)(6+2x)=770

you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS

Answer:

[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex]  or  [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]

Step-by-step explanation:

So first you need to find the area of the swimming pool:

19*6 = 114

Next you add the area of the swimming pool and the area of the walkway:

114 + 770 = 884

After this you solve for x using this equation:

(19 +2x) * (6 + 2x) = 884

This would normally find the area of the whole swimming pool area and the walkway but because we know that we can use it to solve for x.

The step-by-step is this:

[tex]4x^{2} +50x+114=884[/tex]

[tex]4x^2+50x+114-884=884-884[/tex]

 [tex]4x^2+50x+114-884=0[/tex]

Now we'll use the quadratic formula to simplify it farther:

[tex]x= \frac{-(50) + \sqrt{(50)^2-4(4)(-770)} }{2(4)}[/tex]

[tex]x=\frac{-50 + or - \sqrt{14820} }{8}[/tex]

[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex] or [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]

Answer:

A line traveling to the left with an open dot on x=1.

Explanation:

The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.

One good example of a situation that can be modeled by this Polynomial Graph is the price-time relationship between currency pairs being traded on the Foreign Exchange Market.

A polynomial parameter graph is essentially a smooth continuous curve.

Although the forex graph attached has sharp undulations, when regressed and viewed via Polynomial Regression Indicators, they exhibit strong polynomial qualities that meet the requirements of the definition above.

It is to be noted that the Y-Axis is indicative of the price of the currency pairs (which could be any currency against another) and the X-Axis expresses time. See the attached graphs for a better picture.

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Answer:

D.

Step-by-step explanation: