The pair pf polygons below are similar. give the scale factorbof figure a to figure b

What is the greatest common factor of 42, 30, and 45

Crank

Answer:

GCF = 3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

7 0

3 years ago

Plzzzzzzzzzzzzzzzzzzzz

Salsk061 [2.6K]

Answer:

B

Step-by-step explanation:

I graphed the equation, and the highest point was at 3.7 feet in the air, 4 seconds into the flight. See the graph below. Hope this helps!

8 0

3 years ago

he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

So

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$

Then

$0.222A(0) = A(0)e^{-0.00012054733t}$

$e^{-0.00012054733t} = 0.222$

$\ln{e^{-0.00012054733t}} = \ln{0.222}$

$-0.00012054733t = \ln{0.222}$

$t = -\frac{\ln{0.222}}{0.00012054733}$

$t = 12485$

The bones were 12,485 years old at the time they were discovered.

8 0

3 years ago

In this scatterplot the individuals are states. The variable "cig" is the number of cigarettes sold per person in the state in 1

Ipatiy [6.2K]

Answer:

e= -5.41

Step-by-step explanation:

Hello!

In linear regression, a residual value is a distance between the observed values and the regression line.

The residual value (e) is calculated as the difference between the observed value (Y) and the predicted value (^Y).

e= Y - ^Y

e= 15.92 - 21.33 = -5.41

I hope it helps!

5 0

3 years ago

Debbie is 5 years older than

vovikov84 [41]

Answer:

Susan is 3 years and Debbie is 8 years old. after 2 years Susan will be 5 Years and Debbie will be 10 years old

Step-by-step explanation:

let the present age of Susan be x years then Debbie is x+5 years

in 2 years

x +2 = x+5+2/2

x+2=x+7/2

2x +4 = x+7

x=3

6 0

3 years ago