MATHEMATICS HIGH SCHOOL

Determine the volume of the picture below. Please help

Answers

Answer 1

Answer: the answer to this question is D

Answer 2

Answer:

Answer:

6825 in

Step-by-step explanation:

Since the shape is a composite figure, we need to break it up into 2 shapes!

Rectangle and a triangular prism

Solving for Rectangle...

Volume = Length · Width · Height

Volume = 30 · 13 · 13

Volume = 5070 in

Solving for Triangular Prism

Volume = Length · Width · Height / 2

Volume = 30 · 9 · 13 / 2

Volume = 3510/2

Volume = 1755 in

Finally, add the volumes!

5070 + 1755 = 6825 in

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Which polynomials are prime? Check all that apply.15x2 + 10x – 9x + 7
20x2 – 12x + 30x – 18
6x3 + 14x2 – 12x – 28
8x3 + 20x2 + 3x + 12
11x4 + 4x2 – 6x2 – 16

Answers

Prime polynomials are those polynomials that are not factored into lower degree polynomial. The options that are prime polynomials are 1), 4), and 5).

Evaluate all options in order to check that the polynomials are prime or not:

1). $15x^2 +10x -9x+7$

5x(3x + 2) - (9x - 7)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

2). $20x^2-12x+30x-18$

$4x(5x - 3)+6(5x-3)$

(4x + 6)(5x - 3)

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). $6x^3+14x^2-12x-28$

$2x^2(3x+7)-4(3x+7)$

$(2x^2-4)(3x+7)$

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). $8x^3+20x^2+3x+12$

$4x^2(2x+5)+(3x+20)$

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). $11x^4+4x^2-6x^2-16$

$x^2(11x^2+4)-2(3x^2+8)$

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

For more information, refer to the link given below:

brainly.com/question/20121808

Answer:

The prime polynomials are 1, 4 and 5

Step-by-step explanation:

Given some polynomials we have to classify the polynomials prime or not.

Prime polynomials are the polynomial with integer coefficients that cannot be factored into lower degree polynomials.

$15x^2 + 10x - 9x + 7$

⇒ $5(3x+2)-(9x-7)$

can't be factored into lower degree polynomial ∴ prime polynomial.

$20x^2 - 12x + 30x - 18$

⇒ $4x(5x-3)+6(5x-3)$

⇒ $(4x+6)(5x-3)$

hence, not a prime polynomial.

$6x^3 + 14x^2 - 12x - 28$

⇒ $2x^2(3x+7)-4(3x+7)$

⇒ $(2x^2-4)(3x+7)$

hence, not a prime polynomial.

$8x^3 + 20x^2 + 3x + 12$

⇒ $4x^2(2x+5)+(3x+20)$

can't be factored into lower degree polynomial ∴ prime polynomial.

$11x^4 + 4x^2 - 6x^2 - 16$

⇒ $x^2(11x^2+4)-2(3x^2+8)$

can't be factored into lower degree polynomial ∴ prime polynomial.

The prime polynomials are 1, 4 and 5

PLEASE HELP ASAP 25 POINTS

Answers

So answer is C.

Hmm first I'll check the slanted line cutting 2nd quardrant..

some points on this line are (-3,0),(0,3),(2,5),(3,6),etc.

Testing (-3,0)=(x,y):

y=-3+3=0 (true)..comparable with y=x+3

Testing (2,5)=(x,y):

y=2+3=5 (true)..comparable with y=x+3

Since this line bounds the value within some limits less than or equal to x+3(see graph you can see it clearly)...so it can be represented by y<=x+3.

Similarly for next line cutting 1st and 4th quardrant,

Points: (0,-4),(1,-1),(2,2),etc..

Testing (0,-4)=(x,y):

y=3*0-4=-4(true)...comparable with y=3x-4

Testing (1,-1)=(x,y):

y=3*1-4=-1(true)...comparable with y=3x-4

This line bounds within the region y>3x-4

NOTE:

1)If the region is bounded by solid line(line without dot) then you write inequality as y<=something or y>= something.

2)If the region is bounded by dotted line(line withdot) then you write inequality as y<something or y> something.

Hope this helps!

Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?

Answers

Answer:

15:20=3:4

Step-by-step explanation:

Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by graphing.1) 5 - y = 2x
6x - 15 = -3y

2) 6y + 2x = 8
12y + 4x = 4

Answers

The correct classification of the given equations is as follows:

First equation is dependent
Second equation is inconsistent

What is a Dependent Equation?

This refers to the system of equations where an equation has infinite solutions and has more than one form on a given line.

With this in mind, we can see that when we are given a system of equations such as

5 - y = 2x

6x - 15 = -3y, then we know that this is a dependent equation because of the infinite solutions on the two equations.

Read more about dependent equations here:
brainly.com/question/10417850

1. Is Dependent.
2. Is Inconsistent

Two of the dozen eggs in a carton or cracked about what percent of the carton is not cracked

Answers

(10/12)(100) = (5/6)(100) = 83.3% not cracked

Which of these properties of a rigid transformation is exclusive to translations?The measures of the angles and sides in the preimage are preserved.

The points in the preimage lie in the same plane as the points in the image.

All the points in the preimage are shifted the same distance.

The orientation of sequences of points in the preimage are always preserved.

Answers

The properties of a rigid transformation is exclusive to translations is teh phrase "The points in the preimage lie in the same plane as the points in the image". The rest of the statements do not answer the question above.

Answer with explanation:

There are four kind of Rigid transformation that can take place in a two dimensional or Three dimensional geometrical Shape

1. Rotation

2. Reflection

3.Dilation

4. Translation

When we translate a geometrical shape , the Preimage , shifts from one position to another position in the plane in which it lies ,without changing the shape ,size ,and Interior angle of the PreImage.

→→I have described first three properties ,which are true to translation by taking a triangle ,having vertices , (0,0), (0,1) and (1,0).

Now, translating the triangle , by 1 unit right and 1 unit up,got the triangle having vertices, (1,1),(1,2) and (2,1).

Option 4 : The orientation of sequences of points in the pre image are always preserved, is the property of a rigid transformation that appears exclusive to translations.

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