Simplify each algebraic axpression 4y+6y+5x-2y


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Answer:

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

41 − 18 = 23

67 − 41 = 26

82 − 67 = 15

69 − 82 = −13

17 − 69 = −52

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

26 − 23 = 3

15 − 26 = −11

−13 − 15 = −28

−52 − (−13) = −39

Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.

Third Differences

−11 − 3 = −14

−28 − (−11) = −17

−39 − (−28) = −11

The third differences are approximately the same so we will use a cubic function to represent the data.

Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Answer:

C

Step-by-step explanation:

Linear functions will be greater than exponential functions at first- however, exponential equations will gradually surpass the linear equation.

An equation that can be used to determine the value of x is x² + 5x - 36 = 0.

To answer the question, we need to know what equations are

An equation is an expression which shows the relationship between two variables.

Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.

Then,

So, the area of the rectangular sheet poster is A = LW

= (x + 2)(x + 3)

Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².

So, (x + 2)(x + 3) = 42

x² + 3x + 2x + 6 = 42

x² + 5x + 6 - 42 = 0

x² + 5x - 36 = 0

So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.

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Answer:

36

Step-by-step explanation:

12 multiplied by 3 is 36

Answer:

7858

Step-by-step explanation:

hope it helps you bye

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

Answer:

Answer:

A. 6/10

Step-by-step explanation:

Answer:

the answer is a 6

                          _

                         10

Step-by-step explanation:

How To Find the surface area for a normal prism

To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism.

Explanation: To find surface area of the rectangular prism.

The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Shapes.

Right rectangular prisms or cuboids are all around us. A few examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops. Non-examples of a right rectangular prism: This shape is a prism but its top and base do not have right angles in the shape.

HOPE THIS HELPS,

CoDBiarex

The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contacts = 25

Total number of contacts of neighbors = 20

Total number of contacts which is not of the neighbors = 25 - 20 = 5

The probability of call a person not from his neighborhood:

P = 5/25 = 1/5

P = 0.2

Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25

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Answer: 1/5 or 0.2

Step-by-step explanation:

Answer:

-63

Find common difference:

nth term:

So 31st term:

Answer:

1. Height of the prism= h

2. area of the base= B

3. Perimeter of the base= P

Step-by-step explanation:

Here are what the letters mean:

P = perimeter of the base

h = height of the prism

B = area of the base

Answer:

option c, 20

Step-by-step explanation:

Interquartile range is Q3 - Q1

Q3 is the upper end of the box: 35

Q1 is the lower end of the box: 15

35 - 15 = 20

Area and perimeter of figure be: 562.08 m² and 123.68 m

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The figure comprises of a parallelogram and semicircle.

1. For Area

Area of parallelogram = base x height

                                     = 24 x 14

                                     = 336 m²

Area of semicircle = (π x r²)/2

                               = (3.14 * 12 * 12)/2

                              = 226.08 m²

Total Area of the figure = 336+ 226.08 =562.08 m²

2. Perimeter

Perimeter of parallelogram=  2 (a+b)

                                             = 2 (19 +24)

                                            = 86 m

Perimeter of semicircle= π * r

                                      = 3.14 * 12

                                     = 37.68 m

Total Perimeter of the figure= 86 + 37.68 = 123.68 m

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Answer:

100m^2

Step-by-step explanation:

All sides of a square are equal so 10m x 10m = 100m. The answer is 100m^2 because it is a 2D figure.

The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units

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

The region outside the circle r = 2 and inside the circle r = - 4 sinθ.

Then the intersection point will be given as

[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]

Thus, the area of the region is 3.75 square units.

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keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.

[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of the circular motion of the alpha particles is closest to 0.11μs.

The period of the circular motion of the alpha particles moving along an in the presence of the magnetic field is given by;

[tex]T = \dfrac{2\pi m}{qB}[/tex]

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t.

We are given;

Mass; m = 6.68 × 10^(-27) kg

Magnetic field;B = 0.90 T

Charge;q = 2e

Now, e is the charge on an electron and it has a value of 1.6 × 10^(-19) C

So, q = 2 × 1.6 × 10^(-19)

q = 3.2 × 10^(-19) C

we know that,

[tex]T = \dfrac{2\pi m}{qB}[/tex]

we have;

[tex]T =\dfrac{ (2\pi \times 6.68 \times 10^{-27})}{(3.2 \times 10^{-19}\times 0.9)}\\T =11.798 \times 10^{-8} s[/tex]

This can also be written as;

T ≈ 0.11 μs

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the solution to 2x-8<12

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, add 8 on both sides:-

2x<12+8

2x<20

Divide by 2 on both sides:-

x<10 (Option C)

So the numbers less than 10 will make this inequality true.

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

Answer:

The area of the 3d figure

Step-by-step explanation:

the area of the one of triangle is 8.7

and the reactangle is 5 x 7 = 35

and the big one is 10 x 7 = 70

so 8.7 + 8.7 + 35 + 35 + 70 = 157.4

The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

Surface area = 2(wl + hl + hw).

Volume = lwh.

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

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Answer:

It wont work for me

Step-by-step explanation:

my school computer.

Answer:

Step-by-step explanation:

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=13\\ \theta =115 \end{cases}\implies \begin{array}{llll} s=\cfrac{(115)\pi (13)}{180}\implies s=\cfrac{299\pi }{36} \\\\\\ s\approx 26.09~in \end{array}[/tex]

Answer:

false, true, fale

Step-by-step explanation: hi

Answer:

0.5

Step-by-step explanation:

Half the natural numbers picked are going to be even numbers:  

{2, 4, 6, 8, 10}.  Thus the probability of the picked number being even is 5/10, or 0.5.

Answer:

$33.25

Step-by-step explanation:

Taking Eric's hours as a ratio to the total hours :

Multiply the ratio into the amount paid :

Eric's share of the money is $33.25

Answer:

$33.25

Step-by-step explanation:

The combined, total number of hours they worked is

3.5 hours + 2 hours = 5.5 hours

The total pay is $52.25

The pay rate is $52.25/(5.5 hours) = $9.50/hour

Eric worked 3.5 hours.

Pay = 3.5 hours × $9.50/hour = $33.25

Answer:

To do this I am pretty sure your going to have to do some hard calculations.

Lets go deeper

so because it is a rectangle every angle is a right angle according to the property of a rectangle.

A right angle is 90 degress

So 8x+18=90
90-18=72

8x=72

72/8=9

x=9

Feel free to do brainlest if correct

Answer:

i think the answer is 4

Step-by-step explanation:

hope it's correct

Answer:

B is correct because it has the exact same numbers