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suter [353]
2 years ago
14

Look at the following sum. 1 + 1⁄2 + 1⁄4 + 1⁄8 + 1⁄16 + 1⁄32 + 1⁄64. . . Notice that the denominator of each fraction in the sum

is twice the denominator that comes before it. If you continue adding on fractions according to this pattern, when will you reach a sum of 2?
Mathematics
1 answer:
Alex17521 [72]2 years ago
7 0
Use the butterfly methods
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What does 5x evaluate to if x is equal to 2?
stiks02 [169]

Answer: Hi!

Since 5 is being multiplied by x, and x is equal to 2, be would multiply 5 and 2. 5 * 2 is equal to 10.

Hope this helps!

4 0
2 years ago
Read 2 more answers
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig
miss Akunina [59]

Answer:

f(t) = -0.05t +12

Step-by-step explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

f (0) = 3 + 9\\f (0) = 12

With these two points we can find the function:

If m is the slope of the line, then:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{9-12}{60-0}\\\\m = -0.05\\\\f (t) = -0.05t + c

Where by definition c = f(0) = 12

Finally the formula is:

f(t) = -0.05t +12

3 0
2 years ago
Read 2 more answers
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
EastWind [94]
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
8 0
2 years ago
A company with $60,000 in sales last year had $69,000 in sales this year. Assuming the company's sales continue to grow at the s
aalyn [17]

Subtract 69000 from 60000. Answer becomes 9000. So you add 9000 to 69000 2 times. Your answer becomes 87000.

5 0
2 years ago
Read 2 more answers
The data below shows the heights in inches of 10 students in a class. StudentHeight, in inches Student 153 Student 252.5 Student
Marianna [84]

Question not correct, so i have attached the correct question.

Answer:

SE = 0.59

Step-by-step explanation:

The mean of the students height is;

x' = (53 + 52.5 + 54 + 51 + 50.5 + 49.5 + 48 + 53 + 52 + 50)/10

x' = 51.35

Now, deviation from the mean for each height;

53 - 51.35 = 1.65

52.5 - 51.35 = 1.15

54 - 51.35 = 2.65

51 - 51.35 = -0.35

50.5 - 51.35 = -0.85

49.5 - 51.35 = -1.85

48 - 51.35 = -3.35

53 - 51.35 = 1.65

52 - 51.35 = 0.65

50 - 51.35 = -1.35

Now, square of the deviations above;

1.65² = 2.7225

1.15² = 1.3225

2.65² = 7.0225

-0.35² = 0.1225

-0.85² = 0.7225

-1.85² = 3.4225

-3.35² = 11.2225

1.65² = 2.7225

0.65² = 0.4225

-1.35² = 1.8225

Sum of the squared deviations;

2.7225 + 1.3225 + 7.0225 + 0.1225 + 0.7225 + 3.4225 + 11.2225 + 2.7225 + 0.4225 + 1.8225 = 31.525

Let's divide the sum by the DF of n - 1 i.e 10 - 1 = 9.

Thus;

31.525/9 = 3.50278

Taking the square root of that gives us the standard deviation.

Thus;

s = √3.50278

s = 1.8716

Formula for standard error is;

SE = s/√n

SE = 1.8716/√10

SE = 0.59

8 0
2 years ago
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