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lukranit [14]
2 years ago
7

Divide. 83 ÷ 9 Enter your answer by filling in the boxes. __R __

Mathematics
2 answers:
Darina [25.2K]2 years ago
8 0

Answer : 9 R 2

Step - by - step explanation :

83 ÷ 9

Break it down . . .

How many times can 9 fit into 83 ?

9's multiples : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

83 - [ 9 x 9 ] --> 83 - 81 = 2

Since 9 cannot fit into 2 ( talking whole numbers ) we stop here.

forsale [732]2 years ago
5 0

9R2

83/9 = 9.2222222

9*9 = 81

83-81 = 2

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The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
Oksana_A [137]

Answer:

<h2>A.</h2>

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where x represents days and y represents bees.

The exponential function that models this problem must be like

y=a(1-r)^{x}, which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that a=10,000, because it starts with 10,000 bees.

Let's use the points (10, 7500)

y=a(1-r)^{x}\\7500=10000(1-r)^{10}

Solving for r, we have

\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75

Using logarithms, we have

ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97

Replacing all values in the model, we have

y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}

Therefore, the right answer is the first choice, that's the best approximation to this situation.

6 0
2 years ago
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PLS ANSWER it CORRECTLY for 25 points<br>​
olchik [2.2K]

Answer:

1. 0

2. 18 th term

3. 209

4. 670

Step-by-step explanation:

1. n^th term  of an A.P = a + (n - 1)d , where n is the term

6 = a + (5 - 1)d ... (i)

5 = a + (6 - 1)d ... (ii)

a + 4d = 6 ... (i)

a + 5d = 5 ... (ii)

Subtracting (ii) - (i) we get;

0 + d = -1 , d = -1

So the common difference (d) = -1

And first term (a);

a + 4(-1) = 6

a = 6 + 4 = 10

11^th term will be;

n_{11} = 10 + -1(11 - 1) = 10 - 10 = 0

2. The A.P is;

1, 4, 7, 10, 14, ....

The first term (a) = 1

The common difference (d) = 3

n_{th} = a + (n - 1)d

52 = 1 + (n - 1)3

3n - 3 + 1 = 52

3n = 52 + 2 = 54

n = 54/3 = 18 th term

3. The A.P is;

4, 9, 14, ... , 254

The first term (a) = 4

The common difference (d) = 5

n_{th} = a + (n - 1)d

To find what term number 254 is;

254 = 4 + (n - 1)5

5n - 5 + 4 = 254

5n = 254 + 1 = 255

n = 255/5 = 51

The 10^th term from the end of the AP is the 42^nd term.

n_{42} =  4 + (42 - 1)5 = 4 + 205 = 209

4. The A.P is;

5, 8, 11, 14, ...

The first term (a) = 5

The common difference (d) = 3

Sum of n terms in an A.P is given by;

s_{n} = \frac{n}{2}(2a + (n - 1)d)

s_{n} = \frac{20}{2}(10 + 19(3) = 10(10 +57) = 670

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3 years ago
According to the U.S. Census Bureau, about 63% of Americans are adults (18 and over). Use the U.S. population estimate of 308 mi
Kisachek [45]

Step-by-step explanation:

According to the U.S. Census Bureau, about 63% of Americans are adults (18 and over). Use the U.S. population estimate of 308 million people to calculate the number of American adults in 2010. Round to the nearest hundred thousand adults

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3 years ago
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Answer:

Step-by-step explanation:

Factor the Polynomial.

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sattari [20]

Answer:

Option (4)

Step-by-step explanation:

By the property of exterior angle of a triangle,

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In the triangle ABC,

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Therefore, Option (4) will be the correct option.

5 0
3 years ago
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