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3 years ago

What is Mary biking speed in miles per hour

Mathematics

1 answer:

Trava [24]3 years ago

3 0

Answer:20

Step-by-step explanation: This is answer is 20 because you have to divide 10 1/2 to get your answer .

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Find the length of the third side. If necessary, round to the nearest tenth.<br> 6<br> 14

Romashka-Z-Leto [24]

Answer:

≈ 12.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x = $\sqrt{160}$ ≈ 12.6 ( to the nearest tenth )

8 0

3 years ago

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

4 years ago

consider the quadratic functio. f(x)=x2-5x+6 what are the values of the coefficients and constant in the function

eduard

Answer:

1and5 are coefficients6is a constant

Step-by-step explanation:

6 0

3 years ago

Y = 5/4 x + 3.000000000

Mnenie [13.5K]

Answer:

151

Step-by-step explanation:

6 0

3 years ago

Help Find kif (2, k) lies on the line with equation 2x + 7y = 41

Maksim231197 [3]

Answer:

i think 11y

Step-by-step explanation:

4 0

3 years ago