All categories

3 years ago

Which expression is equivalent to 2^4 x 2^-7

Mathematics

1 answer:

docker41 [41]3 years ago

5 0

Answer:

$2 ^ { 4 } \times 2 ^ { - 7 }\\= 2^{4 + (-7)} \\= 2^{-3} \\= \frac{1}{2^{3} } \\=\boxed{ \frac{1}{8} }$

Hope it helps ⚜

You might be interested in

Which pairs of rational numbers are equivalent? Select all that apply.

SSSSS [86.1K]

Answer:

I dont think you have included the whole question please do so

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Eric wants to attend a public four-year university. He estimates that the average cost of one year at this university is $19,500

rjkz [21]

325 * 60 = 19500 so 60 months

7 0

3 years ago

Read 2 more answers

What is $6.25 marked up 25%

Marta_Voda [28]

Answer:

$6.25 marked up 25% is $7.81

Step-by-step explanation:

First, you have to find what 25% is of 6.25.

Step 1: Our output value is 25.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 25=100%.

Step 4: Similarly, x=6.25%.

Step 5: This results in a pair of simple equations:

25=100%(1)

x=6.25%(2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

25 = 100

x 6.25

Step 7: Again, the reciprocal of both sides gives

x = 6.25

25 100

x= 1.5625

x≈ 1.56

Once you've known what 25% is, you add it to 6.25.

1.56+6.25= 7.81

7 0

4 years ago

Side a of the triangle is a utility pole. Henry would like to know how long the guy wire, c, should be.

jasenka [17]

We know that the pole is perpendicular to the ground

And that the length of the pole is 20 feet tall, and the base is 15 feet

Now, the guy wire is a wire that provides support to the pole by connecting the top of the pole to the ground

So this represents a right angled triangle (refer image), and the hypotenuse is the length of the guy wire

Using Pythagoras theorem, we can find out the length of the hypotenuse

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ Hypotenuse² = 20² + 15²

⇒ Hypotenuse² = 400+225

⇒ Hypotenuse² = 625

⇒ Hypotenuse = √625

⇒ Hypotenuse = 25

Hence, the correct option is B 25 ft.

6 0

3 years ago

Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael

Alisiya [41]

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

Dale sent 9 fewer messages than Christine

D = C - 9

Michael sent 2 times as many messages as Christine

M = 2C

Plug-in the numbers.

C + C - 9 + 2C = 71

4C - 9 = 71

4C = 80

C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

5 0

4 years ago