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3 years ago

I'LL GIVE BRANLY!!!!!

Mathematics

2 answers:

erastova [34]3 years ago

7 0

Answer:

Step-by-step explanation:

zhenek [66]3 years ago

5 0

Answer:

Step-by-step explanation:

If the order matters, we can use the product rule to show each of the $20$ coins can be chosen in $5$ ways, for a total of $5^{20$ ways, assuming you have enough of each type of coins.

If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is $C(n+r-1,r)$ . Here $n=5$ and $r=20$ . So we get $C(24,20)$ .

You might be interested in

To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership

sukhopar [10]

Given that:

Membership feet to play indoor soccer at the Sun Oaks Club = $100

Hourly rate = $10

To find:

The function f represents the cost of playing soccer at Sun Oaks.

Here, fixed cost is $100.

Let the number of hours of playing be t. So, total variable cost is $10t.

Total cost = Fixed cost + Variable cost

$f(t)=100+10t$

So, the required function is $f(t)=100+10t$ .

Now, if the hourly rate were halved. Then,

Hourly rate $= \$ \dfrac{10}{2} = \$ 5$

So, total variable cost is $5t and total cost function is

$g(t)=100+5t$

So, the required function is $g(t)=100+5t$ .

7 0

3 years ago

A rectangular prism is 4 units by 2 1/2 units by 1 1/2 units. How many cubes with a side length of 1/2 unit will completely fill

Keith_Richards [23]

V prism = 4 × (5/2) × (3/2) = 15 units^3;
V cube = (1/2)^3 = 1/8 units^3;
15 ÷ (1/8) = 15 × 8 = 120 cubes;

3 0

4 years ago

164 cm equals how many meters

Tju [1.3M]

Well, since there is 100 Centimeters in a meter than it would 1.64 meters OR 1 meter and 64 centimeters

3 0

3 years ago

I really need help please<br><br>

Basile [38]

Answer:

Step-by-step explanation:

6 0

3 years ago

Use the form of the definition of the integral given in the theorem to evaluate the integral. 9 (x2 − 4x + 6) dx

bagirrra123 [75]

Answer:

$\mathbf{\dfrac{392}{3}}$

Step-by-step explanation:

Given integral :

$\int ^9_1 (x^2 -4x + 6) \ dx$

Let consider $f(x) = x^2 - 4x + 6$ .

Then , using the formula:

$\int ^b_a \ f(x) \ dx = \lim \limits_{x \to \infty} \ \Delta x \ \sum \limits ^{n} _{i=1} \ f(a + i \Delta x)$

where;

a = 1 , b = 9 and $\Delta \ x = \dfrac{b-a}{n}$

$\Delta \ x = \dfrac{9-1}{n}$

$\Delta \ x = \dfrac{8}{n}$

∴

$\int ^9_1 (x^2 -4x + 6) \ dx = \lim \limits _{x \to \infty} \dfrac{8}{n} \ \sum \limits ^{n}_{i=1} \ f(1 + i \dfrac{8}{n})$

= $\lim \limits _{x \to \infty} \dfrac{8}{n} \ \sum \limits ^{n}_{i=1} \ \begin {bmatrix} (1+ i \dfrac{8}{n})^2 - 4(1 + i \dfrac{8}{n} ) +6\end {bmatrix}$

= $\lim \limits _{x \to \infty} \dfrac{8}{n} \ \sum \limits ^{n}_{i=1} \ \begin {bmatrix} 1+ \dfrac{64}{n^2}i^2 + \dfrac{16 }{n} i - 4 - \dfrac{32}{n}i +6\end {bmatrix}$

= $\lim \limits _{x \to \infty} \dfrac{8}{n} \ \sum \limits ^{n}_{i=1} \ \begin {bmatrix} \dfrac{64}{n^2}i^2 - \dfrac{16 }{n} i +3\end {bmatrix}$

= $\lim \limits _{x \to \infty} \dfrac{8}{n} \ \sum \limits ^{n}_{i=1} \ \begin {bmatrix} \dfrac{64}{n^2} \sum \limits ^{n}_{i=1} \ i^2 - \dfrac{16 }{n} \sum \limits ^{n}_{i=1} \ i +3 \sum \limits ^{n}_{i=1} \ 1 \end {bmatrix}$

= $\lim \limits _{x \to \infty} \dfrac{8}{n} \ \sum \limits ^{n}_{i=1} \ \begin {bmatrix} \dfrac{64}{n^2} \dfrac{n(n+1)(2n+1)}{6}-\dfrac{16}{n} \dfrac{n(n+1)}{2} + 3n \end {bmatrix}$

= $\lim \limits _{x \to \infty} \ \begin {bmatrix} \dfrac{512}{6} (1+ \dfrac{1}{n})(2 + \dfrac{1}{n}) -64 (1 + \dfrac{1}{n} ) +24n \end {bmatrix}$

= $\begin {bmatrix} \dfrac{512}{6} (1+ 0)(2 + 0) -64 (1 +0 ) +24 \end {bmatrix}$

= $\begin {bmatrix} \dfrac{512}{6} (2)-64 +24 \end {bmatrix}$

= $\dfrac{512}{3}-40$

= $\dfrac{512- 120}{3}$

= $\mathbf{\dfrac{392}{3}}$

7 0

3 years ago