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3 years ago

Can someone help with step by step

Mathematics

1 answer:

MrMuchimi3 years ago

3 0

Answer:

See explanation

Step-by-step explanation:

$In\: \triangle ABC \:\&\: \triangle EDC\\\angle ABC \cong \angle EDC... (Right \: \angle s) \\\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\$

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ann has 5 brand new CD’s, which is 3 less than twice the that bob (x) has. translate the situation into an algebraic equation

Nataliya [291]

Ann = 3 CD's

Ann = 2x-3

5 = 2x-3

x= CD's bob has

5 = 2x-3 is the equation

to solve

add 3 to each side

8 = 2x

divide by 2

x =4

bob has 4 CD's, ann has 5

6 0

3 years ago

The sum of 30 times (1/3)^(n-1) from 1 to infinity

sergeinik [125]

Let

$S_n=\displaystyle1+\frac13+\frac1{3^2}+\cdots+\frac1{3^n}$

Then

$\dfrac13S_n=\displaystyle\frac13+\frac1{3^2}+\frac1{3^3}+\cdots+\frac1{3^{n+1}}$

and

$S_n-\dfrac13S_n=\dfrac23S_n=1-\dfrac1{3^{n+1}}\implies S_n=\dfrac32-\dfrac1{2\cdot3^n}$

and as $n\to\infty$ , we end up with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{i=1}^{n+1}\frac1{3^{i-1}}=\lim_{n\to\infty}\left(\frac32-\frac1{2\cdot3^n}\right)=\frac32$

So we have

$\displaystyle\sum_{n=1}^\infty30\left(\frac13\right)^{n-1}=30\cdot\frac32=45$

8 0

3 years ago

JJill begins the summer with $500 in her savings account. Each week, she withdraws $20. Her brother, Sam,starts the summer with

meriva

Answer:

7th week

Step-by-step explanation:

Let us represent the number of weeks as x

Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.

$500 - $20× x

500 - 20x

Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.

$150 + $30 × x

150 + 30x

At what week will both Jill and Sam have the same amount in their account?

We solve this be Equating both Equations together

Jill = Sam

500 - 20x = 150 + 30x

Collect like terms

500 - 150 = 30x + 20x

350 = 50x

Divide both sides by 50

50x/50 = 350/50

x = 7 weeks

Therefore, at the 7 week, Jill and sam would have the same amount in their accounts

3 0

3 years ago

Match the function with its value f(x)= x2-3x+3 g(x)= 2x2-1 f(z^2)= .....

Elis [28]

There's nothing here to 'match' it with.

f(x) = x^2 - 3x + 3

f(z^2) = (z^2)^2 - 3z^2 + 3

f(z^2) = z^4 - 3z^2 + 3

g(x) is only there to confuse you.
Apparently it was successful.

3 0

3 years ago

Which graph represents 2x-5y<15?

disa [49]

Answer:

Step-by-step explanation:

First view 2x-5y<15 as the equation 2x - 5y = 15. Find the x- and y-intercepts and plot them:

x-intercept: let y = 0 and find x: x = 15/2. Plot (0, 15/2).

y-intercept: Let x = 0 and find y: y = -3. Plot (0, -3).

Draw a dashed line through these two points. Shade the area BELOW this line.

4 0

3 years ago

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