1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eddi Din [679]
3 years ago
9

How many permutations of the letters in the word REPLICA end in a vowel

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0
<span>6*5*4*3*2*1*3=2,160
I hope this helps.
</span>
You might be interested in
Express the function y(t)= 4 sin 2πt + 15 cos 2πt in terms of (a) a sine term only. (b) Determine the amplitude, the period, the
Bond [772]

Answer:

See the step by step solution

Step-by-step explanation:

Consider a more general case of the form a\sin(x)+b\cos(x). We want to express it as a sine term only by using the following formula \sin(\alpha+\beta) = \sin(\alpha)\cos(\beta)+\sin(\beta)\cos(\alpha)

The trick  consists on find a number \beta \in [0,2\pi] such that \cos(\beta) = a, \sin(\beta)=b . But, note that since \cos^2(\beta)+\sen^2(\beta)=1 it is most likely that a^2+b^2neq 1. Then, we will use the following equations:

\cos(\beta) =\frac{a}{\sqrt[]{a^2+b^2}=A,\sin(\beta) =\frac{b}{\sqrt[]{a^2+b^2}=B

Then, problem turns out to be

a\sin(x)+b\cos(x)= \sqrt[]{a^2+b^2}(A\sin(x)+B\cos(x)) =\sqrt[]{a^2+b^2}(\sin(x)\cos(\beta)+\sin(\beta)\cos(x))=\sqrt[]{a^2+b^2}\sin(x+\beta),

where \beta = \tan^{-1}(\frac{B}{A})= \tan^{-1}(\frac{b}{a}). So, note that the frequency is the same. Then, a) Taking a=4 and b= 15 we have that 4 sin 2πt + 15 cos 2πt= [tex]\sqrt[]{15^2+4^2}\sin(2\pi t + \tan^{-1}\frac{15}{4})

b) The amplitude is \sqrt[]{15^2+4^2} = \sqrt[]{241}. Since 2\pi rad/s = 1 Hz the frequency is 1 Hz. The period is given by \frac{2\pi}{2\pi} = 1.

c) The function's graph is attached

7 0
3 years ago
Read 2 more answers
What is the common ratio and explicit formula for -2,6,-18,54?
Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

a_{4} =\frac{1}{(a_{1})^4}

Step-by-step explanation:

Given sequence is {\{-2,6,-18,54}\}

Let a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54

To find the common ratio r:

r=\frac{a_{2}}{a_{1}}

=\frac{6}{-2}

=-3

Therefore r=-3

r=\frac{a_{3}}{a_{2}}

=\frac{-18}{6}

=-3

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is a_{n}=a_{1}^{r-1}, where common ratio is r.

From given sequence we are having  r=-3

Therefore the explicit formula for a given geometric sequence is of the form a_{4} =a_{1}^{-3-1}

a_{4} =a_{1}^{-4}

a_{4} =\frac{1}{(a_{1})^4}

6 0
3 years ago
Help please which statement is true about water molecules? question 1 options: the oxygen atom has a negative charge. the hydrog
kvasek [131]
Oxygen having a negative charge I believe
7 0
3 years ago
Graph the line whose y-intercept is - 9 and whose x-intercept is 5.
Nostrana [21]

Answer:

y=1.8x-9

Step-by-step explanation:

if they are intercepts so the x/y will be zero, so in y intetceot the x is zero, and in the x itercept the y is zero.

0,-9

5,0

we calculate the slooe / rise

-9-0/0-5 = 1.8

we then use this formula

y-y1=rise(x-x1)

y-0=1.8(x-5)

y=1.8x-9

4 0
3 years ago
When you solve an equation, you must
MAXImum [283]

Answer:

x is equal to 6

Step-by-step explanation:

4x=24

divide both sides by 4

4 eliminates 4 leaving x behind

4 divides 24 making x =6

3 0
3 years ago
Other questions:
  • Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.
    7·1 answer
  • Help me please<br><br> If you help me I would appreciate it a lot
    10·1 answer
  • Please urgent answer my question.
    9·2 answers
  • Marian has a goal of running 18 1/2 miles during track practice this week. On Monday she ran 2 1/2 miles, on Tuesday 2.9 miles,
    15·1 answer
  • Write the following in slope-intercept form , when the slope is -4 and the y-intercept is 9
    9·1 answer
  • Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes
    14·1 answer
  • What is the sum????????
    8·1 answer
  • Which of the following statements correctly uses the distributive property?
    8·1 answer
  • 2πr²+πrh=S<br> Solve for r
    10·1 answer
  • Solve the given inequality :
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!