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3 years ago

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How many strings can be formed using the letters a, b, c, d, e, f, with each letter used once, that that start with the letter f

?

1 answer:

VladimirAG [237]3 years ago

4 0

Hello,
the only letters a,b,c,d,e have to be put.
So 5!=1*2*3*4*5=120

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Can anyone help me? :)

sdas [7]

It’s 1/4 because the first one is 1/4 and the second one is 2/8 which can be reduced to 1/4

3 0

3 years ago

Sunhee had four plastic shapes a square, a circle, and a pentagon in how many ways can she line up the four shapes of the circle

julsineya [31]

Answer:

only three shapes are mentioned.

But anyhow, 4 shapes allow the following reasoning...

you can start lining up with any of the for shapes, so you have 4 possibilities, for the second position you have 3 possibilities, for the third 2 and for the last only 1.

so 4*3*2*1= 24 possible ways

but with the added rule to keep the circle and the square apart, we have to reduce the number.

by the same step-by-step reasoning we get

4 possibilities for the 1st item

only 2 possibilities for the 2nd item

(if 1st is square or circle, the other one's not an option, if it's not we have to choose one of them to not place them both at point 3 and 4)

only 1 choice for the 3rd item

(reasoning as above, if 2nd is square or circle, we have to the only other, if it isn't, we can put it here at 3rd position)

plus scenarios where either square or circle are on 1st point, the other's on 4th.

I guess that makes 14 possible arrangements

5 0

3 years ago

Solve the quadratic equation. (x + 6)2 = 49

kykrilka [37]

Answer:

C

Step-by-step explanation:

To solve, use inverse operations:

$(x+6)^2=49\\\sqrt{(x+6)^2} =\sqrt{49} \\x+6=+/-7$

Now we solve for both +/- 7.

x+6=7

x=1

x+6=-7

x=-13

3 0

3 years ago

To determine a monthly budget for gasoline, Rachael determines that she can not spend more

IrinaK [193]

The solution of the given inequality is:

x ≤ 15.24

<h3>How to solve the inequality?</h3>

We know that the maximum that she can spend on gasoline is the 12% of $400.

That is:

(12%/100%)*$400 = 0.12*$400 = $48

Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:

x*$3.15 ≤ $48

To solve the inequality, we need to divide both sides by $3.15

x ≤ $48/$3.15

x ≤ 15.24

So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

4 0

2 years ago

It's a question from real and complex numbers which I can't solve. so someone PLZ HeLp

Semmy [17]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , $(a^m)^{n}$ = $a^{mn}$

Simplifying the product of the first 2 terms

$\frac{a^{p^2+pq} }{a^{pq+q^2} }$ × $\frac{a^{q^2+qr} }{a^{qr+r^2} }$

= $a^{p^2-q^2}$ × $a^{q^2-r^2}$

= $a^{p^2-r^2}$

Simplifying the third term

5( $(a^p+r)^{p-r}$

= 5 $a^{(p+r)(p-r)}$ = 5 $a^{(p^2-r^2)}$

Performing the division, that is

$\frac{a^{(p^2-r^2)} }{5a^{(p^2-r^2)} }$ ← cancel $a^{(p^2-r^2)}$ on numerator/ denominator leaves

= $\frac{1}{5}$

4 0

3 years ago