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mylen [45]
3 years ago
8

The moon has a surface area of approximately 14,650,000 m^2. Estimate its radius to the nearest mile

Mathematics
1 answer:
Elza [17]3 years ago
7 0

\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=14650000 \end{cases}\implies 14650000=4\pi r^2 \\\\\\ \cfrac{14650000}{4\pi }=r^2\implies \cfrac{3662500}{\pi }=r^2\implies \sqrt{\cfrac{3662500}{\pi }}=r\implies 1079.73\approx r

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forsale [732]

In the situation, the number of bacterias are doubling for each sheet of paper cut, thus, the exponential equation for the puber is:

f(n) = 2^n

Initially, there was only one sheet of paper. Then, each sheet is cut in half, so we will have 2 sheets, then 4 sheets, then 8 sheets, and so on. That is, the number of sheets is continuously doubling, thus, the population after n cuts can be modeled by the following <u>exponential equation</u>:

f(n) = 2^n

A similar problem is given at brainly.com/question/15563161

7 0
3 years ago
Someone help it’s urgent! I’ll brainlist you.
julia-pushkina [17]

Answer:

Constant: -17

Coefficient: 7

Number of terms: 3

Step-by-step explanation:

Constant: -17

-> This is the number that doesn't change. No matter what m or p is, -17 will be -17

Coefficient: 7

-> The coefficient is the number next to the variable. In this case, the number "with" (being multiplied by) p is 7

Number of terms: 3

-> There are three terms. A term includes positive/negative, number, variables, etc.

-> The terms are:

[] 9m^{4}

[] 7p

[] -17

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

7 0
2 years ago
what is the recursive definition and explicit formula of the sequence 3, 5.5, 8, 10.5, 13, 15.5? I know the pattern is +2.5 ​
Delicious77 [7]

Answer:

a_{n} = a_{n-1} + 2.5

Step-by-step explanation:

This is an arithmetic sequence with common difference d = 2.5

The recursive formula allows any term in the sequence to be found by adding d to the previous term, thus

a_{n} = a_{n-1} + 2.5 ← recursive formula with a₁ = 3

5 0
4 years ago
I need help! (It's easy)
kati45 [8]
A.) it's a 90° angle 
     90=6x+4x+10
     90=10x+10
    -10         -10
     80=10x
     divide both sides by 10, x=8
B.) it's a 180° angle
     180=5x+13+3x+7
     180=8x+20
     -20        -20
     160=8x
     divide both sides by 8, x=20
C.) it's a 180° angle
     180=3x+5+2x+18+2x+17
     180=7x+40
     -40        -40
     140=7x
     divide both sides by 7, x=20
D.) it's a 180° angle
     180=90+30+x
     180=120+x
     -120  -120
     60=x
7 0
3 years ago
HELP!! Which of these linear equations best describes the given model?
viktelen [127]

Option B:

The linear equation that best describes the model is y = 40x + 800.

Solution:

Take two points which exactly on the line.

Let the points are (0, 800) and (10, 1200).

x_1=0, y_1=800, x_2=10, y_2=1200

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{1200-800}{10-0}

$m=\frac{400}{10}

m = 40

y-intercept of the line is where the line crosses at y-axis.

y-intercept (b) = 800

Equation of a line:

y = mx + b

y = 40x + 800

The linear equation that best describes the model is y = 40x + 800.

Option B is the correct answer.

4 0
3 years ago
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