50=-3T-7<br> Solve for T

Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker. How many different collections

Ugo [173]

The number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

<h3>How to calculate the different collection of writing utensils?</h3>

Since Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker and we require the number of collections or ways he could bring them to school without coming to school empty-handed, we use combination mathematics since order does not matter.

Now, Faruq can either come to school with one marker and one pencil or one pencil or one marker.

So, the combination for one marker and one pencil is n = a × b = ab

The combination for one marker is n' = a

The combination for one pencil is n" = b

So, the total combination is N = n + n' + n"

= ab + a + b

So, the number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

Learn more about combination here:

brainly.com/question/25821700

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5 0

3 years ago

I will give brainiest to whoever answers correctly !!

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

a) The interest generated over the 9 months is how much the woman paid for use of the money, then:

$I=C.t.i\\C=3000\\t=9\\i=3.5%=0.035\\I=3000.9.0.035=945\\I=945$

Therefore , the woman paid $945 for the use of the money.

b) The total amount that she repaid the bank is:

$C_{t} =C+I=3000+945=3945\\C_{t} =3945$

Finally we have that the woman paid $3945 to the bank

PLEASE MARK ME AS BRAINLIEST

7 0

3 years ago

PLEAES HELP ME OPEN THAT PICTIRE SO YOU CAN SEEN THE QUESTONS THANK YOU

Molodets [167]

Answer:

9 units

Step-by-step explanation:

The distance from the car to the cabana is 3 units, and the distance from the cabana to the beach is 6 units. When measuring distance on a graph make sure to use absolute value, because distance can't be a negative number.

4 0

3 years ago

Read 2 more answers

Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1

defon

I'm guessing the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}$

By the ratio test, the series converges if the following limit is less than 1.

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|$

The first $n$ terms in the numerator's denominator cancel with the denominator's denominator:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|$

$|x^n|$ also cancels out and the remaining factor of $|x|$ can be pulled out of the limit (as it doesn't depend on $n$ ).

$\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0$

which means the series converges everywhere (independently of $x$ ), and so the radius of convergence is infinite.

3 0

4 years ago

Leo is constructing a tangent line from point Q to circle P. What is his next step?

Elena-2011 [213]

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

6 0

3 years ago

50=-3T-7 Solve for T