MATHEMATICS HIGH SCHOOL

Hailey simplified the expression (12xy74x4y3)2 using the following steps:Step 1: (3x−3y4)2

Step 2: 3x−6y8

Step 3:3y8x6

Did Hailey correctly simplify the expression?
A
Yes, Hailey correctly simplified the expression.

B
No, in Step 1, Hailey should have added the exponents instead of subtracting them.

C
No, in Step 2, Hailey should have squared each exponent value instead of multiplying each value by 2.

D
No, in Step 2, Hailey should have also multiplied the exponent of the coefficient by 2 to get 32.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

because i said so

actually i don't know

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A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.

A rectangle has an area of 40 square units. The length is 6 units greater than the width.

Answers

Let

x------> the length of the rectangle

y------> the width of the rectangle

A-----> area of the rectangle

we know that

The area of rectangle is equal to

$A=x*y\nA=40\ units^(2)$

$40=x*y$ --------> equation $1$

$x=6+y$ --------> equation $2$

Substitute equation $2$ in equation $1$

$40=[6+y]*y\n 40=6y+y^(2) \ny^(2) +6y-40=0$

using a graph tool-----> to resolve the second order equation

see the attached figure

the solution is

$y=4$

Find the value of x

$x=6+y\n \n x=6+4=10\ units$

therefore

the answer is

The length of the rectangle is equal to $10\ units$

The width of the rectangle is equal to $4 \ units$

possible dimensions:
40 x 1
20 x 2
4 x 10
5 x 8

since 10 is 6 more than 4, the length is 10 and the width is 4

What is the perimeter of a basement floor that is 40 feet long and 24 feet wide

Answers

We are going to add. $40+40=80 \ and \ 24+24=48$ 80+48=128. So the perimeter is 128. Hoped I helped. :)

So, what you do is
40 + 40 = 80
24 + 24 = 48
80 + 48 =128cm

Lona read 40 books for the read-a-thon. She read 30% historical fiction and20% sports stories. The rest were mysteries. How many mysteries did lona read?

Answers

20 mysteries. Add 20% and 30% to get 50%. Then rewrite 50% as 50/100. Next multiply 50/100 by 40 to get 2,000/100.The last thing to do is simplify to get 20 and subtract 20 from 40 to get 20 mysteries.

There were 6954 cases filed with the Supreme Court. Of these only 82 were decided by the Supreme Court. What percentage was decided by the Supreme Court

Answers

Answer:

Total no. of cases = 6954

No. of cases decided = 82

Percentage decided = (82/6954)x100 = 1.17%

Answer:

1.18%

Step-by-step explanation:

A percentage can be found by dividing the part by the whole. then multiplying by 100.

(part/whole) * 100

In this problem, the part is the cases decided by the Supreme Court. The whole is the total number of cases filed.

(cases decided / cases filed) *100

There were 82 cases decided by the Supreme Court, out of a total of 6,954 cases filed.

(82/6954) *100

First, solve the parentheses and divide.

0.0117917745* 100

Multiply

1.17917745 %

Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 up to an 8 in the hundredth place.

1.18 %

About 1.18% of the cases filed were decided by the Supreme Court.

Brian bought beverages for his coworkers. One day he bought 3 lemonades and 4 iced teas for $12.00. The next day he bought 5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade and 1 iced tea, to the nearest cent.

Answers

Let's take lemonade's price as 'x' and iced tea's price as 'y'.

$\left \{ {{3x+4y=12} \atop {5x+2y=11.5}} \right. \n \left \{ {{x=4-y} \atop {5(4-y)+2y=11.5}} \right. \n \left \{ {{x=4-y} \atop {20-3y=11.5}} \right. \n \left \{ {{x=4-y} \atop {y=2.83}} \right. \n \left \{ {{x=1.17} \atop {y=2.83}} \right.$

Price of lemonade is $2.83, iced tea's $1.17.

Simplify $(1-3i)(1-i)(1+i)(1+3i)$

Answers

$(1-3i)(1-i)(1+i)(1+3i)=\n(1^2-(3i)^2)(1^2-i^2)=\n(1+9)(1+1)=\n10\cdot2=20$

Answer:

$\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}$

Step-by-step explanation:

$(1-3i)(1-i)(1+i)(1+3i)\n\n\text{use the commutative property}\n\n=(1-3i)(1+3i)(1-i)(1+i)\n\n\text{use the associative property}\n\n=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\n\n\text{use}\ (a-b)(a+b)=a^2-b^2\n\n=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\n\n=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\n\n\text{use}\ i=√(-1)\to i^2=-1\n\n=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\n\n=\bigg(1+9\bigg)\bigg(1+1\bigg)\n\n=(10)(2)\n\n=20$

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