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2 years ago

Write 4^6 as a power of 2.

Mathematics

2 answers:

Nesterboy [21]2 years ago

6 0

4^6= 24
24 power 2=24x24= 576

Marysya12 [62]2 years ago

4 0

Answer:

${4}^{6} = {2}^{12} \\ 4096 = 4096$

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Divide 81 ft in the ratio 5 :4

Mumz [18]

Answer:

Rr = 51 : 68

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

X and y vary inversely and x=50 when y=5 find y when x=10 what is k?

Kisachek [45]

Answer:

Part A)

1) $k=250$

2) $y=25$

Part B)

1) $k=7$

2) $y=84$

Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

step 1

Find the value of k

x=50 when y=5

substitute the values

$y*x=k$ ------> $5*50=k$ -----> $k=250$

The equation is equal to

$y*x=250$ or $y=250/x$

step 2

Find y when x=10

substitute the value of x in the equation and solve for y

$y*(10)=250$

$y=250/10=25$

Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

step 1

Find the value of k

x=6 when y=42

substitute the values

$y/x=k$ ------> $42/6=k$ -----> $k=7$

The equation is equal to

$y/x=7$ or $y=7x$

step 2

Find y when x=12

substitute the value of x in the equation and solve for y

$y=7(12)=84$

5 0

3 years ago

Let ? = {a, b, c} be a sample space. let m(a) = 1/2, m(b) = 1/3, and m(c) = 1/6. find the probabilities for all eight subsets of

Leviafan [203]

A= {a,b,c} . Since this set has 3 elements, the number
of its total subset is 2³ = 8 (including the Ф element):

Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6

{a} →→→→1/2
{b} →→→→1/3
{c} →→→→1/6
{a,b} →→→→1/2 + 1/3 = 5/6
{a,c} →→→→1/2 + 1/6 = 2/3
{b,c} →→→→1/3 + 1/6 = 1/2
{a,b,c} →→→→1/2 + 1/3 + 1/6 = 1
{∅} →→→→0 =0

5 0

3 years ago

Solve the system of linear equations. 3x - 6y = -9 and -5x +10y = 10

Karolina [17]

Answer:

no solution

Step-by-step explanation:

4 0

2 years ago

What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest?

sineoko [7]

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest = $137.50

Principal= $500

time = 5 years

We want to find the rate R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

4 0

3 years ago