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3 years ago

What is the value of -17 - (-1)?

2 answers:

6 0

Answer: -16

Explanation: Since you are subtracting a negative number from -17, you are actually just adding that number to it, and -17 + 1 is -16

devlian [24]3 years ago

4 0

Answer: it’s 1

Step-by-step explanation:

A negative num

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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

Need help please someone answer quick

Leya [2.2K]

Answer:

2x/19

Quotient = division

Product = multiplication

Difference = subtraction

Sum = addition

6 0

2 years ago

A square has an area of 4ft. What is the length of watch side

ohaa [14]

Answer:

Step-by-step explanation:

square have the same side length is the area is 4 you would have to find what number that you can multiply by itself twice (ex: 2x2) that gets you four the only number does that is 2

6 0

3 years ago

Read 2 more answers

At what rate per annum does the compound interest of Rs 576 becomes to Rs 153 in 2 years

ArbitrLikvidat [17]

Answer:

The value of rate per annum is R = 12.5 %

Step-by-step explanation:

Principal amount = 576

Interest = 153

Amount after 2 years = 576 + 153 = 729

We know that

$A = P [1 + \frac{R}{100} ] ^{T}$

Put all the values in above equation

$729 = 576 [1 + \frac{R}{100} ]^{2}$

$\frac{27}{24} = 1 + \frac{R}{100}$

R = 12.5 %

This is the value of rate per annum.

4 0

3 years ago

Here's a graph of a linear function. Write the

Natalija [7]

Answer:

$\large\boxed{y=\dfrac{1}{4}x+3}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

$y=mx+3$

The formula of a slope:

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

Put the coordinates of the points:

$m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}$

Finally we have:

$y=\dfrac{1}{4}x+3$

7 0

3 years ago