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3 years ago

Evaluate 9 C 5 and 7 P 4

Mathematics

2 answers:

Vlad [161]3 years ago

7 0

9C5 = 9!/[5!(9-5)!

9C5 = 9!/(5!)(4!)

You finish.

7P4 = 7!/(7-4)!

7P4 = 7!/3!

You finish.

Elina [12.6K]3 years ago

3 0

Answer:

126

Step-by-step explanation:

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Given a circle with a radius of 6, what the the length of an arc measuring 30 degrees

Mazyrski [523]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =30
\end{cases}\implies s=\cfrac{30\cdot \pi \cdot 6}{180}\implies s=\pi$

6 0

4 years ago

Can someone help me with this?

deff fn [24]

Answer:

the answer is 200

Step-by-step explanation:

4 0

4 years ago

Please help I don’t get this

mina [271]

Answer:

H = 11m

Step-by-step explanation:

As we know, volume = length * breadth/width * height

Given,

length = 6m

Breadth/width = 3 1/2 or 3.5

Height = ?

So, l * b * h = v

=> 6m * 3.5m * h = 231m

=> 21m * h = 231m

=> h = 231m /21m = 11m

Therefore, height = 11m / 11metres

Hope this helps

6 0

3 years ago

5^(2x-1)+5^(x+1)=250 how do you solve? thank you

zepelin [54]

Answer:

x = 2

Step-by-step explanation:

Exponential Equations

Solve:

$5^{2x-1}+5^{x+1}=250$

Separate each exponential:

$5^{2x}5^{-1}+5^{x}5^{1}=250$

Operating:

$\displaystyle \frac{5^{2x}}{5}+5^{x}5=250$

Multiplying by 5:

$5^{2x}+25\cdot5^x=1250$

Rearranging:

$5^{2x}+25\cdot5^x-1250=0$

Recall that:

$5^{2x}=(5^{x})^2$

$(5^{x})^2+25\cdot5^x-1250=0$

Calling

$y=5^{x}:$

$y^2+25y-1250=0$

Factoring:

$(y-25)(y+50)=0$

There are two possible solutions:

y=25

y=-50

Since

$y=5^{x}$

y cannot be negative, thus:

$5^{x}=25=5^2$

The solution is:

x = 2

8 0

3 years ago

If you have x, and your equation is 5/8x + 1/5x=99, what is x

noname [10]

$\frac{5}{8x} + \frac{1}{5x} = 99 \\ \\ \frac{33}{40x} = 99 \\ \\ 40x = 33 \times 99 \\ \\ x = 81.675$

8 0

3 years ago