MATHEMATICS HIGH SCHOOL

The volume of this prism is 378cm3. What is the length of x First correct answer will get 5 starts and brainliest!

Answers

Answer 1

Answer:

Answer:

14cm

Step-by-step explanation:

You divide 378 from 27

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NEED HELP ASAP! The sum of two numbers is 105. The larger number is 6 less than twice the smallernumber. What are the numbers?
(2a2 + a + 3) ÷ (a - 1)

Expand (2x-3y+3)^2

PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

(x+ y + z)² = x² +y² + z² + 2xy +2yz + 2zx

Here, x = 2x ; y = -3y & z = 3

(2x - 3y + 3)² = (2x)² + (-3y)² + 3² + 2(2x)(-3y) + 2(-3y)3 + 2*3*(2x)

= 4x² + 9y² + 9 - 12xy - 18y + 12x

Answer:

4x² + 9y² + 12x - 18y - 12xy + 9

Step-by-step explanation:

Given

(2x - 3y + 3)² = (2x - 3y + 3)(2x - 3y + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 3y + 3) - 3y(2x - 3y + 3) + 3(2x - 3y + 3)

Distribute the 3 parenthesis

= 4x² - 6xy + 6x - 6xy + 9y² - 9y + 6x - 9y + 9 ← collect like terms

= 4x² + 9y² + 12x - 18y - 12xy + 9

Each day at school Kai records his homework assignments in a small notebook each page of the notebook measures 2 1/4 inches by 3 1/2 find the area of one page

Answers

7 7/8 inches

All I did was multiply 2 1/4 by 3 1/2.

I hope this helps!

Suppose is a semester that 38% of students at a college failed mathematics, 27% failed physics, and 9% failed both. A student is selected at random.a)If a student failed physics, what is the probability that he or she failed math?
b)If a student failed math, what is the probability he or she failed physics?
c)What is the probability that he or she failed math or physics?

Answers

Hello,

A) failed in Phys: 27 failed in Math ==> intersection : 9/27=1/3

B)Failed in Math 38 ,failed in Phys ==>9/38

C) M∪P=M+P-M∩P= (38+27-9)/100=56/100=14/25

Probabiliy is hard for me.

16A population of 800 beetles is growing each month at a rate of 5%. About how many beetles will there be in 8
months?
1
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Answers

Answer:

6,720

Step-by-step explanation:

B = 800(1.05)^8

B = 800(8.4)

B = 6,720

Answer:that's a proper mad question that

Step-by-step explanation:

Alessandro wrote the quadratic equation –6 = x2 4x – 1 in standard form. what is the value of c in his new equation?

Answers

Standard form for quadratic equations is:

0 = ax² + bx + c

To make Alessandro's first equation in standard form, you must make the constant on the left side of the equation 0.

To do this, we should add 6 to each side to cancel out the -6 on the left side of the equation, making its value 0.

Alessandro's new equation is:

-6 + 6 = x² + 4x - 1 + 6

If we simplify this equation, we get:

0 = x² + 4x + 5

Therefore, knowing that the equation above is in the form ax² + bx + c, we can determine that the value of c in Alessandro's new equation is 5.

Answer:

c=5

Step-by-step explanation:

Convert y=x squared +64x + 12 into graphing form

Answers

$To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \ form \n \n y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a) \n \ny = a(x - h)^2+k$

opens up for a > 0, and down for a < 0

$y=x^2 +64x + 12\n \na=1,\ b=64 \ c = 12 \n \nh = (-64)/(2)=-32 \n \n k = 12 -(64^2)/(4 )=12-(4096)/(4)=12-1024= -1012\n \ny = (x+32)^2-1012 \n \n This \ means \ the \ vertex \ of \ the \ parabola \ is \ at \ the \ point \ (-32, -1012)\n \n and \ the \ parabola \ is \ concave \ up.$

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Rewrite the fraction in simplest form. 14/30