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3 years ago

The ratio of boys to girls in Mr. Woods class is 5:7.

Mathematics

2 answers:

Mashcka [7]3 years ago

8 0

It’s would be approximately 25 hope that helped :)

valentina_108 [34]3 years ago

3 0

Answer:

Step-by-step explanation:

5+7 is 12, 60 divided by 12 is 5. 5x5 is 25

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

The radius of a circle is 2 centimeters. What is the circles circumference?

Salsk061 [2.6K]

Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for <em>r</em> in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

approximately equal to 12.56 cm.

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3 years ago

How many presents are between 40_45 years old

elena-14-01-66 [18.8K]

The answer would be 2 hope this helps

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2 years ago

Read 2 more answers

The slope of a line is – 3, and a point on the line is (4, -1).

docker41 [41]

Answer:x=6

Step-by-step explanation:

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2 years ago

Find the number of terms common to the two A.P.'s 3,7,11,......,407 and 2,9,16,......,709

melomori [17]

Answer: 14 terms

Step-by-step explanation:

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3 years ago