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3 years ago

Help on 4 plz quick also if you can

Mathematics

1 answer:

RideAnS [48]3 years ago

4 0

The area of the rect. is 100 ft times 64 ft, or 6400 ft^2.

Let's list factors of 6400: 64,100

64= 2^6

100= 2^2*5^2

Here we see that 2 appears 8 times as a factor, and 5 appears 2 times:

6400 = 2^6 * 10^2 = 2^8*5^2

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How wants to zoom? Im bored..

VLD [36.1K]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours

Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

$P(t)=P_0e^{kt}$

Where, $P_0$ is the initial value, k is the growth constant and t is the number of years.

Putting $P(t)=15000,P_0=3000, k=2.8$ in the above formula, we get

$15000=3000e^{2.8t}$

$\dfrac{15000}{3000}=e^{2.8t}$

$5=e^{2.8t}$

Taking ln on both sides, we get

$\ln 5=\ln e^{2.8t}$

$1.609438=2.8t$ $[\because \ln e^x=x]$

$\dfrac{1.609438}{2.8}=t$

$0.574799=t$

$t\approx 0.575$

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0

3 years ago

Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week

hoa [83]

Part A.

Amount of money earned = Regular rate per hour * Number of working hours

M = 12 x

Part B.

Amount of wages earned = Regular rate per hour * Maximum number of regular working hours + Overtime rate per hour * Excess working hours

T = 12 * 30 + 16 * y

T = 360 + 16 y

T = 16 y + 360

Part C.

Given T = 408, find y:

408 = 16 y + 360

y = 3 hrs

Therefore the total hours Gary worked that week is,

x + y = 30 + 3 = 33 hrs

(x = 30 since that is the maximum limit for regular working hours)

7 0

3 years ago

Given A is between Y and Z YA = 5.5, AZ = 2x, and YZ = 41.5 =, find AZ

morpeh [17]

YZ = YA + AZ
41.5 = 5.5 + AZ
AZ = 41.5 - 5.5
AZ = 36

So, your final answer is AZ = 36

Hope this helps!

4 0

3 years ago

Read 2 more answers

ASAP ASAP ASAP ASAP pls answer this question

pashok25 [27]

Just plot the points on the graph.
2. You know since the graph is a straight line, the ratios are proportional and therefore equivalent

8 0

3 years ago