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3 years ago

Find the value of 13! / 3!10!

Mathematics

2 answers:

snow_lady [41]3 years ago

5 0

Answer:

The answer is 286.

Step-by-step explanation:

13! can be rewritten as 13*12*11*10!.

Since 10! is on the top and bottom of the fraction, we can eliminate them. We are then left with 13*12*11/3!.

3! = 6. We can eliminate the 6 from the denominator by diving the 12 by 6 in the numerator to get 13*11*2.

Finally, we can can evaluate the expression to get 286.

djyliett [7]3 years ago

5 0

Answer:

the answer is 286

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Suppose f is an exponential function and:

Nastasia [14]

Answer: a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

Step-by-step explanation:

Since f is an exponential function.

So, it is expressed as

$f = p(1 + r)^$

Here f is the present value

p is the initial value

r is the rate of growth per time period

t is the time period.

(a) b represents the 1-unit growth factor for f.

$b= p(1 + r)^1$

(b) c represents the n n-unit growth factor for f.

$c= p(1 + r)^n$

$d= p(1 + r)^m$

Write a formula that expresses c in terms of b.

Since

$b=p(1+r)^1\\\\So,\\\\b=p(1+r)^{n\times \frac{1}{n}}\\\\b=(p(1+r)^n)^{\frac{1}{n}}\\\\b=c^{\frac{1}{n}}\\\\b^n=c$

Hence, a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

8 0

3 years ago

How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

3 years ago

Can someone please help me answer this.

Anika [276]

4(y - 7) = 2y - 38
4y - 28 = 2y - 38
4y - 2y = -38 + 28
2y = -10
y = -5

3 0

4 years ago

Your sister can get $30 per day, d, for selling clothes at the market. But she has to pay $60 at first for renting a stand. You

Alex

Answer:

6 days

Step-by-step explanation:

pay 60 = -60

Let d = the number of days

30d - 60 = sister

20d = me

Equation:

30d - 60 = 20d Move 30 to the other side

-30d -30d

-60 = 20d - 30d Combine liked terms

-60 = -10d

-10 -10 Divide

d = 6

5 0

3 years ago

On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?

torisob [31]

Answer:

15 cm on the map is equal to 25 miles.

Step-by-step explanation:

Given that,

On a map, 9 cm represents 15 miles.

The distance between two cities is 15 cm. We need to find the distance in miles.

9 cm = 15 miles

$1\ cm=\dfrac{15}{9}\ \miles$

So, 15 cm is equal to,

$15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles$

So, 15 cm on the map is equal to 25 miles.

4 0

3 years ago