Having which of the following is a trait for a architectural designer

The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

To find the product of the polynomials (3x² - 2x - 3) (5x² + 4x + 5), we can use the distributive property of multiplication to multiply each term in the first polynomial by each term in the second polynomial, and then combine like terms.

We can start by multiplying the first term in the first polynomial, 3x^2, by each term in the second polynomial:

3x² (5x² + 4x + 5)

= [tex]15x^4 + 12x^3 + 15x^2[/tex]

Next, we multiply the second term in the first polynomial, -2x, by each term in the second polynomial:

-2x(5x² + 4x + 5) = -10x³ - 8x² - 10x

Finally, we multiply the third term in the first polynomial, -3, by each term in the second polynomial:

-3(5x² + 4x + 5) = -15x² - 12x - 15

Putting these three results together, we have:

(3x² - 2x - 3) (5x² + 4x + 5)

= [tex]15x^4 + 2x^3 - 3x^2 + 12x^2 - 10x^3 - 10x - 15x^2 - 12x - 15[/tex]

Simplifying and collecting like terms, we get:

(3x² - 2x - 3)(5x² + 4x + 5)

[tex]15x^4 - 8x^3 - 6x^2 - 22x - 15[/tex]

Therefore,

The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]

Learn more about polynomials here:

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Answer:

a=14/50 or 28%/0.28

b = the complement would be everything but b

c=36/50

they are reciprocals they are opposites

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

Circumference = 2 * PI * R

2 * 3.14 * 3 = 18.84

Answer: for sure the answer is increased rapidly

Step-by-step explanation:

The population of the city increased rapidly for the first four months and then slowly approached 7000 people.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

WE have given the  graph shows the population of a city n months after the establishment of a new automobile plant in the city.

We can see that at 4000 people, the graph increases and then become constant at the rate of 7000 people.

So we can conclude that the population of the city increases rapidly for the first four months and then slowly approached 7000 people.

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Answer:

maybe 58 or 59  

Step-by-step explanation: bad at the so sorry.

The inverse function of the function 5y + 4 = (x + 3)² + 0.5 is shown below. Then the correct option is D.

[tex]\rm y= \pm \sqrt{5x + \dfrac{7}{2}} - 3[/tex]

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

(and vice versa).

It simply means, the inverse of 'f' is a reverse operator, that takes back the effect of 'f'

The equation is given below.

[tex]\rm 5y + 4 = (x+3)^2 + \dfrac{1}{2}[/tex]

Then y will be

[tex]\rm 5y = (x+3)^2 + \dfrac{1}{2} - 4\\\\\rm y \ \ = \dfrac{(x+3)^2}{5} - \dfrac{7}{10}[/tex]

The replace y by x and x by y, then we have

[tex]\begin{aligned} x &= \dfrac{2(y+3)^2}{10} - \dfrac{7}{10}\\\\\dfrac{10x + 7}{2} &= (y + 3)^2 \\\\\sqrt{5x + \dfrac{7}{2}} &= y + 3\\\\y &= \pm \sqrt{5x + \dfrac{7}{2}} - 3 \end{aligned}[/tex]

More about the inverse function link is given below.

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Answer: D

Step-by-step explanation:

The 2022 Russian Invasion of Ukraine began due to the cause of the collapse of the Soviet Union, which was sped along by the independence of the baltic states in 1990. When Ukraine left the USSR in 1991 and gave it's nuclear weapons to Russia in 2006, it began clear that Ukraine needed to be returned back into the hands of Moscow, before becoming another frontline for the NATO Army to invade the Russian Federation from the west, with more support from Japan in the east. Oh and I did the Edge test in 2022 so thats how I know it's D.

Reflexive property of congruence

Here AC is common side

AC is congruent to itself

Answer:

35 strips :)

Step-by-step explanation:

1 foot; 12 inches

Now lets solve!!

12 x 9 = 108

Now we must divide :)

108/15 = 7

Since she has 5 rolls, we need to multiply 1 more time :)

7 x 5 = 35

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

35

Step-by-step explanation:

1 foot = 12 inches

so (multiply both by 9)

9 feet = 108 inches

108 divided by 15 = 7.2

the .2 part can't be used, so each roll can make 7 pieces of ribbon

Theres 5 rolls of ribbon so multiply 7 by 5 which is 35

Answer: Area = pie multiplied by radius multiplied by radius (pie × square of radius)

Step-by-step explanation: If you are given diameter, radius will be half of the diameter.

Simply multiply 3.14 by radius squared

Answer:

201.06 in^3

Step-by-step explanation:

Volume of cylinder =  pi r^2 h

                                 = pi (2)^2 * 16  in^3           ( r = d/2 = 4/2 = 2)  

Algebraically, it was possible to show that the point (2,0) is on the side (PR) of the given triangle.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem ([tex](hypotenuse)^2=(side_1)^2+(side_2)^2[/tex]), it is possible finding angles or sides.

The question gives the points for a right triangle, you can draw the triangle, see the attached image. From the figure, it is possible to see the lengths for the sides PQ=8 and QR=10.

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope. If

b=the constant term that represents the y-intercept.

The slope for the line PR can be calculated from the ratio between the side PQ and QR.

[tex]a=\frac{PQ}{QR}=\frac{4-(-4)}{(-3-7)}=\frac{8}{-10} =-0.8[/tex]

From the attached figure, it is possible to see that the y-intercept is (2,0). Therefore, the given point is on the side PR, but the question asks to show this algebraically.

From the Standard form (ax+b), the equation for the line PR will be:                      y=- 0.8x+b. After that, you should replace the coordinates of the given point P (-3,4) in the equation line:  y=-0.8x+b for finding b.

4=-0.8*(-3)+b

4=2.4+b

b=4-2.4= 1.6

Then, the equation line y=-0.8x+1.6.

Now you should replace the x-coordinate for the point (2,0) in the equation  y=-0.8x+1.6.

y=-0.8*2+1.6

y=-1.6+1.6

y=0

The calculated y-coordinate is the same the y-coordinate for the point (2,0), thus the point (2,0) is on the side of the triangle.

Read more about the linear equation here:

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Answer:

13 Quarters, 22 Dimes

Step-by-step explanation:

.10d + .25q = 5.45

.10 (35 - q) + .25q = 5.45

3.5 - 10q + .25q = 5.45

.25q - .10q = 5.45 - 3.5

.15q = 1.95

q = 13

Plug the value of q to solve for d, or the number of dimes.

d = 35 - q

d = 35 - 13

d = 22

Answer:

34.86 unit²

Step-by-step explanation:

[tex]A_{triangle}[/tex] = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] , where s = [tex]\frac{P}{2}[/tex] ; P = a + b + c

[tex]A_{hexagon}[/tex] = 6 × [tex]A_{triangle}[/tex]

[tex]A_{circle}[/tex] = [tex]\pi r^2[/tex]

[tex]\pi[/tex] ≈ [tex]\frac{22}{7}[/tex]

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

Answer:

a square angle

Step-by-step explanation:

because its a square agnle me barin is right :>

Answer:

1. Police station & mall

2. City hall & market

3. Church & park

4. Hospital & school

5. Park & city hall

6. Church & market

7. Police station & hospital

8. School & mall

9. City hall & mall

10. Church & hospital

See the image below for an illustration of each angle type.

Hope this helps!

Answer:

1 and a half hours < 100 mins

Step-by-step explanation:

1 and a half hours is equal to :

1 hour = 60 mins

half hour = 30 mins

60 + 30 = 90 mins

90 min is less than 100 mins

Therefore / ∴ :

1 and a half hours < 100 mins

The given circle has its center at (−3,3) and has a radius of 5 units. Then, the shortest distance D between the point and the circle is given by.

Answer:

its b

Step-by-step explanation:

just took the test

Answer:

Its C

Step-by-step explanation:

Have a good day!

Answer: 32c-1 is one of them

Step-by-step explanation:

Answer:

34a^2 + 21a - 20

Step-by-step explanation:

(12a^2 + 6a -8) - (-22a + 12 - 15a)

12a^2 + 6a - 8 + 22a + 12 - 15a

34^2 + 6a - 8 - 12 + 15a

34^2 + 21a - 20

Answer:

its A

Step-by-step explanation:

8-3=5 and 9/10-4/10=5/10=1/2

Answer:

A. 5 1/2

Step-by-step explanation:

[tex]8\frac{9}{10}-3\frac{4}{10}\\\text{Convert the mixed numbers into improper fractions.}\\(\frac{80}{10}+\frac{9}{10})-(\frac{30}{10}+\frac{4}{10})\\\text{Combine the fractions.}\\\frac{89}{10}-\frac{34}{10}\\\text{Since the denominators are the same, simply subtract the numerators.}\\\frac{89-34}{10}\\\frac{55}{10}\\\text{Split the fraction into two so one part becomes a whole number.}\\\frac{50}{10}+\frac{5}{10}\\\text{Evaluate 50 over 10.}\\5+\frac{5}{10}\\\text{Simplify the fraction 5/10.}\\[/tex]

[tex]5+\frac{5/5}{10/5}\\5+\frac{1}{2}\\\text{Combine the mixed number.}\\5\frac{1}{2}[/tex]

Answer: perimeter = sum of all side lengths

Step-by-step explanation:

To measure the amount of tape needed to section off a crime scene.

Hope This Helped!

The graph shown is the second derivative

   ⇒ first derivative equals the area between

          - the second derivative function from 0 to 2

          - the axis

Thus the first derivative f(2) equals [tex]8 + c[/tex]

However there is an inital position for the first derivative ⇒ f(0) = 2.5

Therefore we must add the initial position to the first derivative found

  f(2) = 8 + 2.5 = 10.5

Hope that helps!

Step-by-step explanation:

Divide both sides by cosine to get:

[tex] - 4tan(x) = 5[/tex]

Divide both sides by -4 to get:

[tex]tan(x) = - \frac{5}{4} [/tex]

Take the arctangent of both sides to get:

[tex]x = arctan( - \frac{5}{4} )[/tex]

Plus any integer rotation of pi (180 degrees)