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2 years ago

Write 2^40 as a power with the following base a) 2^2 b)2^5 c)2^8 d)2^10

Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer:

2^2×20

Step-by-step explanation:

2^2×20

because 2×20=40

so, 2^2×20=2^40

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A dance club hires two different DJ’s to

zubka84 [21]

Answer:

The expression is 100x + 50y ≤ 800.

Step-by-step explanation:

The hip hop DJ charge for $100 per hour. Let x be number of hours of hip hop :

$hip \: hop = 100 \times x$

$hip \: hop = 100x$

For rap DJ, the charge is $50 per hour. Let y be the number of hours of rap :

$rap = 50 \times y$

$rap = 50y$

Given that both DJs spend a maximum of $800. So the final expression is :

$100x + 50y \leqslant 800$

5 0

3 years ago

Can somebody help me ?

iris [78.8K]

Answer:

Step-by-step explanation:

24/4 is 6

4 0

2 years ago

Read 2 more answers

What is 31/16 divided by 4

Norma-Jean [14]

31/16/4
1.93/4
=0.48 :)

8 0

3 years ago

PLZ HELP!!!!!!! Solve for x

Lunna [17]

Answer:

100

Step-by-step explanation:

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6 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago