What is 83x8+4-9= POR FAVOR AYUDA

The area of a square is 128x3y4 cm2. What is the length of one side of the square in simplest form

AlekseyPX

Answer:

We know that the area of the square of side length L is:

A = L*L = L^2

In this case, we know that the area is:

A = 128*x^3*y^4 cm^2

Then we have:

L^2 = 128*x^3*y^4 cm^2

If we apply the square root to both sides we get:

√(L^2) = √( 128*x^3*y^4 cm^2)

L = √(128)*(√x^3)*(√y^4) cm

Here we can replace:

(√x^3) = x^(3/2)

(√y^4) = y^(4/2) = y^2

Replacing these two, we get:

L = √(128)*x^(3/2)*y^2 cm

This is the simplest form of L.

7 0

3 years ago

What is the solution to the system of equations? please explain I really need help

alukav5142 [94]

Answer:

The solution is the point where the lines intersect.

The answer is (-3 , -8)

4 0

3 years ago

For each of the following pairs of signed integers (2’s complement), subtract the second from the first. Show the decimal equiva

Dmitry_Shevchenko [17]

Answer:

The answers are

a)111010 - 001111 = 101011 = 43

b) 000100 - 011000 = 111111111 (overflow) = -20

c) 010001 - 011010 = 11111111 (overflow) = -9

d) 010000 - 100100 = 1111111 (overflow) = -20

Step-by-step explanation:

a)111010 = 1×2⁵+1×2⁴+1×2³+0×2²+1×2¹+0×2⁰ = 32+16+8+0+2+0= 58

001111 = 0×2⁵+0×2⁴+1×2³+1×2²+1×2¹+1×2⁰ = 8+4+2+1=15

111010 - 001111 = 101011 = 43

b) 000100 = 0×2⁵+0×2⁴+0×2³+1×2²+0×2¹+0×2⁰ = 4

011000 = 0×2⁵+1×2⁴+1×2³+0×2²+0×2¹+0×2⁰ = 24

000100 - 011000 = 1111111111 (overflow), 4 - 24 =-20

c) 010001 = 1×2⁴+1×2⁰ = 17

011010 = 1×2⁴+1×2³+1×2¹ = 26

010001 - 011010 = 11111111 (overflow) 17-26=-9

d) 010000 = 1×2⁴ = 16

100100 = 1×2⁵+1×2² = 36

010000 - 100100 = 1111111 (overflow) 16-36=-20

3 0

3 years ago

Suppose that the members of a student governance committee will be selected from the 40 members of the student senate. There are

Len [333]

Answer:

The total number of ways to form a student governance committee is 1,211,760.

Step-by-step explanation:

The students senate consists of a total of 40 students.

The students are either Sophomores or Juniors or Seniors.

The number of students in each of these categories are as follows:

Sophomores = 18

Juniors = 12

Seniors = 10

A governance committee have to be selected from the students senate.

The committee have to made up of 2 sophomores, 2 juniors and 3 seniors.

Combinations can be used to select 2 sophomores from 18, 2 juniors from 12 and 3 seniors from 10.

Combinations is a mathematical technique used to determine the number of ways to select k items from n distinct items.

The formula is:

${n\choose k}=\frac{n!}{k!(n-k)!}$

(1)

Compute the number of ways to select 2 sophomores from 18 as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${18\choose 2}=\frac{18!}{2!(18-2)!}=\frac{18\times 17\times 16!}{2\times 16!}=153$

Thus, there are 153 ways to select 2 sophomores from 18.

(2)

Compute the number of ways to select 2 juniors from 12 as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${12\choose 2}=\frac{12!}{2!(12-2)!}=\frac{12\times 11\times 10!}{2\times 10!}=66$

Thus, there are 66 ways to select 2 juniors from 12.

(3)

Compute the number of ways to select 3 seniors from 10 as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${10\choose 3}=\frac{10!}{3!(10-3)!}=\frac{10\times 9\times 8\times 7!}{2\times 3\times 7!}=120$

Thus, there are 120 ways to select 3 seniors from 10.

The total number of ways to form a student governance committee that must have 2 sophomores, 2 juniors and 3 seniors is:

Total number of ways = ${18\choose 2}\times {12\choose 2}\times {10\choose 3}$

$=153\times 66\times 120\\=1211760$

Thus, the total number of ways to form a student governance committee is 1,211,760.

7 0

3 years ago

DUE TODAY SOMEONE HELP ME!!!!!!!!! When solving an equation with an exponent that is a variable can I ONLY distribute the number

DIA [1.3K]

Answer:

Option C

Step-by-step explanation:

If we were to consider this question as a whole, all we are being asked is to find an expression equivalent to 2 * ( 5 )^x, as all other function are expressed in the same f ( x ) format. Now all we have to thing about are the expression that = 2 * ( 5 )^2x;

$2( 5 )^2x =\\2( 5^2 )^x =\\2( 25 )^x\\\\Solution - Option C$

Hope that helps!

8 0

3 years ago