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2 years ago

Determine the solution for the following equation: (8x-8) 3/2 = 64

Mathematics

1 answer:

zmey [24]2 years ago

6 0

The correct answer is option A which is x = 3.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

( 8x - 8 ) $^\dfrac{3}{2}$ = 64

We can write 64 as $16^{\dfrac{3}{2}}$

( 8x - 8 ) $^\dfrac{3}{2}$ = $16^{\dfrac{3}{2}}$

8x - 8 = 16

8x = 24

x = 3

Therefore the correct answer is option A which is x = 3.

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Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10

Vladimir [108]

Answer:

0011100000

1010010001

0111001110

Step-by-step explanation:

As the question is not complete, Here is the complete question.

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

So, we need to express a) b) and c) into bit strings.

Firstly, number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal set as well as in sub set.

0 = No, element is not present in sub set but present in universal set.

Hence, we have:

a) Sub set {3,4,5} = 0011100000 (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Sub set {1, 3, 6, 10} = 1010010001

c) Sub set {2, 3, 4, 7, 8, 9} = 0111001110

5 0

3 years ago

What is the value (total) of 14+10+(-14)

Dima020 [189]

Answer:

Step-by-step explanation:

14+10=24-14=10

8 0

2 years ago

Read 2 more answers

When multiplying an inequality by a negative number, make sure to flip the inequality sign.

timama [110]

Answer:

the answer is false but when it is divided by a negative number then you flip the inequality sign

3 0

3 years ago

16x^2+?x+36 perfect square trinomial

Hunter-Best [27]

Answer:

16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

(a +b)² = a² +2ab +b²

We want to match this form.

<h3>comparing terms</h3>

Comparing the known terms, we see ...

16x² = a² ⇒ a = 4x

36 = b² ⇒ b = 6

<h3>filling in the missing term</h3>

The missing term is the linear term:

2ab = 2(4x)(6) = 48x

? = 48

4 0

2 years ago

Riley rides his bicycle 1.8 km to Jillian’s house. On the way back, he takes a route that is 740 m shorter than the first route.

postnew [5]

1.8 km >> 1,800 m
1,800 - 740 = 1,060 m
1,060 m >> 1.06 km
The shorter route is 1.06 km.

7 0

2 years ago

Read 2 more answers