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2 years ago

Se M =2³ e N =2², determine (M² . N³)²:

Mathematics

2 answers:

mario62 [17]2 years ago

8 0

Answer:

2/24

Explanation:

(M/2 x N/3) 2 =
(2/6 x 2/6)2 =
(2/12)2 =
2/24

pashok25 [27]2 years ago

7 0

Answer:

M = 2³; M² = (2³)² = 2^6

N = 2²; N³ = (2²)³ = 2^6

Logo: (M² . N³)² = (2^6.2^6)² = (2^12)² = 2^2

Step-by-step explanation:

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This is so confusing all of it makes no sense

Tom [10]

Answer:

D). $4\sqrt{2}$

Step-by-step explanation:

STEP 1a: Find the last angle of the triangle. ( which is angle A)

$A+90+45=180$

STEP 1b: Solve the equation for A by adding 90 and 45.

$A+135=180$

STEP 1c: Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

$A=180-135$

STEP 1d: Subtract 135 from 180.

$A=45$

STEP 2a: Find side b next.

STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

$cos(A)=\frac{adj}{hyp}$

STEP 2c: Substitute the name of each side into the definition of the cosine function.

$cos(A)=\frac{b}{c}$

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

$b=c*cos(A)$

STEP 2e: Substitute the values of each variable into the formula for cosine.

$b=8*cos(45)$

STEP 2f: Cancel the common factor of 2.

$a=4\sqrt{2}$

HOPE THIS HELPS!

4 0

2 years ago

Read 2 more answers

Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the

Kitty [74]

Answer:

a) 0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip resistance, T, such that 36% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

P ( x > 1.0 ) = P ( Z > -2.125)

- Using the Z-table values we can evaluate the probability:

P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

- We will search for the z value with the condition above from Z-table.

P ( Z > (T - 2.7)/0.8) = 0.36, Z = 0.358375

- Hence, we calculate for T:

T = 0.358375*0.8 + 2.7

T = 2.9867

5 0

3 years ago

Please help me with math thanks

Korvikt [17]

Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4

7 0

3 years ago

The base of a rectangular fish tank measures 18 inches long by 10 inches wide. If it is filled with 1,080 cubic

Oxana [17]

Answer:

Volume = length x width x height

V = 18 x 8 x 12 = 1728 cm3 = 1728 ml = 1.729 liters

Step-by-step explanation:

5 0

3 years ago

Not sure how to complete #14

pashok25 [27]

14. Add the line times the outside number
X(X+4)= (2√3)^2
X^2+4X= 4√9
X^2+4X= 4times 3
X^2+4X=12
X^2+4X-12=0
(X+6)(X-2)=0
X=-6 X=2
Answe can't be negative so it's X=2

3 0

2 years ago