Lance is at the grocery store and has three options for buying boxed mac 3 points

I need help please 36 points

geniusboy [140]

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are: and .

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The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus and .

5 0

3 years ago

A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf

Flauer [41]

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

6 0

4 years ago

Find the geometric proof

GrogVix [38]

Answer:

See Explanation

Step-by-step explanation:

Line l is bisector of MO... (given)

$\therefore MN = NO.... (1)$

$\because MN + NO = MO..(M-N-O)$

$\therefore NO + NO = MO..[From \:(1)]$

$\therefore 2NO = MO$

$\therefore NO = \frac{1}{2} MO$

$\therefore NO = \frac{1}{2}\times 24..(\because MO=24)$

$\therefore NO =12$

Thus Proved

6 0

3 years ago

Read 2 more answers

Thirty 5 points for this answer. no links.<br> 4(a-2) = 2(a-4) + 2a

Anarel [89]

Answer:

a = 0

Step-by-step explanation:

4(a-2) = 2(a-4) + 2a

4a - 8 = 2a - 8 + 2a

4a - 2a - 2a = -8 + 8

0 = 0

5 0

3 years ago

Read 2 more answers

Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay r

koban [17]

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Step-by-step explanation:

The given is,

A new virus with a decay rate of 19% per hour

They start with 300 viruses

Step:1

Formula to calculate the viruses at decay rate,

$y = A(1-r)^{t}$ ............................(1)

Where, y - No of viruses after given time

A - Viruses at initial stage

r - Decay rate

t - No. of hours

From the given,

A = 300

r = 19% per hour

t = 7 hours

Equation (1) becomes,

$y = 300(1-0.19)^{7}$

$= 300(0.81)^{7}$

$= 300(0.228767)$

$= 68.63$

Viruses of 7 hours ≅ 69 viruses

( or )

Step:1

For 1st hour,

= (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )

= (300)-(300 × 0.19)

= 300 - 57

= 243

For 2nd hour,

= (243)-(243 × 0.19)

= 243 - 46.17

= 196.83

For 3rd hour,

= (196.83)-(196.83 × 0.19)

= 196.83 - 37.39

= 159.4323

For 4th hour,

= (159.4323)-(159.4323 × 0.19)

= 159.4323 - 30.2921

= 129.1402

For 5th hour,

= (129.1402)-(129.1402 × 0.19)

= 129.1402 - 24.5366

= 104.6035

For 6th hour,

= ( 104.6035)-( 104.6035 × 0.19)

= 104.6035 - 19.8747

= 84.7288

For 7th hour,

= (84.7288)-(84.7288 × 0.19)

= 84.7288 - 16.0984

= 68.63 viruses

Result:

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

7 0

3 years ago