The number of permutations without consecutive vowels at either end will be [tex]4560[/tex]
Let [tex]X = \{A, B, C, D, E, F, G\}[/tex]
Let [tex]Perm(X)=\{\text{All possible permutations of the elements of X}\}[/tex]
Let [tex]V = \{A, E\}[/tex]
Let [tex]Perm(\overline{V})= \{\text{All possible permutations of the consonants in X}\}[/tex]
Permutations with consecutive vowels at either end will have one of the following forms
[tex]AE\overline{v} \text{ or } EA\overline{v} \text{ or } \overline{v}AE \text{ or } \overline{v}EA\\\text{for } \overline{v} \in Perm(\overline{V})[/tex]
In all, we will have
[tex]4\times |Perm(\overline{V})|=4\times 5![/tex] permutations
So, the number of permutations without consecutive vowels at either end will be
[tex]|Perm(X)|-4\times|Perm(\overline{V})|=7!-4\times 5!=4560[/tex]
Another solved problem on permutations can be found here: https://brainly.com/question/25642091
Find the next two terms. 162, 54, 18, ?, ?
Answer:
6 and 2
Step-by-step explanation:
this is a geometric sequence.
You will notice that the common ratio of this sequence is 1/3.
This means each term is 1/3 of the previous term, except for the first term.
18/3 = 6
6/3 =2
PLEASE HELP ME !!!!
What is the range of the function?
O all real numbers
all real numbers less than or equal to 0
O all real numbers greater than or equal to -3
O all real numbers less than or equal to -3
Answer:
all real numbers greater than or equal to −1
Step-by-step explanation:
BRAINLIEST?Marking brainliest
In what ways do you think tree planting is important?
Answer:
Trees contribute to their environment by providing oxygen, improving air quality, climate amelioration, conserving water, preserving soil, and supporting wildlife. During the process of photosynthesis, trees take in carbon dioxide and produce the oxygen we breathe.
Trees give off oxygen that we need to breathe. Trees reduce the amount of stormwater runoff, which reduces erosion and pollution in our waterways and may reduce the effects of flooding. Many species of wildlife depend on trees for their habitat. Trees provide food, protection, and homes for many birds and mammals.
They give us clean water to drink, air to breathe, shade, and food to humans, animals, and plants. They provide habitats for numerous species of fauna and flora, firewood for cooking and heat, materials for buildings and places of spiritual, cultural, and recreational importance.
a construction crew need to lay a total of 240 feet of underground pipes . on day one the team was able to lay 145 feet and 3 inches . how much pipe still needs to be laied? .
Answer:
240ft-143ft-3in= 96 feet & 9 inches
Is there a fast trick to convert centimeters to feet?
Answer:
Step-by-step explanation:
The only way I know is to divide the centimeters by 30.48
guys please help!!!!!!!!!!!!PLEASEEE
I HAVE 3 MINUTES
Answer:
[tex]4\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{128} = \sqrt[3]{64 (2)} = 4\sqrt[3]{2}[/tex]
Lisa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 12 clients who did Plan A and 2 who did Plan B. On Saturday there were 3 clients who did Plan A and 5 who did Plan B. Lisa trained her Friday clients for a total of 21 hours and her Saturday clients for a total of 12 hours. How long does each of the workout plans last?
Answer:
plan a = 3
plan b = 0.6
Step-by-step explanation:
Cindy was going to buy a brownie that cost $0.58 but decided to buy a cherry lollipop that cost $0.20. How much money did Cindy save by buying the cherry lollipop instead?
Evaluate.
23+4⋅2−7
1
5
9
36
pls help im stressed cuz i have alot of math stuff to do
Answer:
24
Step-by-step explanation:
23+4⋅2−7
PEMDAS
Multiply first
23+8−7
Add and subtract from left to right
31-7
24
3 minutes to 48 seconds ratio
Answer:
1.44
Step-by-step explanation:
Answer:
15:4
Step-by-step explanation:
3min=180sec
180/48=90/24=45/12=15/4=15:4
there is a photo I'm kinda hungry
Answer:
x=12
Step-by-step explanation:
overline AD = overline AB + overline BD
overline AD =10+10
overline AD =20
tan( angle BAC)= overline BC/overline AB
tan( angle BAC)= 6/10
angle BAC=30.964°
angle DAE= angle BAC
angle DAE=30.964°
tan( angle DAE)= overline DE/AD
tan (30.964 degrees) = x/20
x = 12
hope u understand
What is the sum of all the integers that are greater than -7 but less than 7
Answer:
0
Step-by-step explanation:
All the numbers equal each other out.
for example:
-6+6=0
so if you have -6+-5+-4+-3+-2+-1+0+1+2+3+4+5+6, all of the numbers equal each other out.
Hope this helps!
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=-2/3-2
Step-by-step explanation:
Please please help! Thank youuu
(2x - 20) = 20
(4x - 10) = 70
An operation is defined as p*q=5q+p2 evaluate 7*3
Answer:
64
Step-by-step explanation:
7*3 ( with p = 7 and q = 3 )
= 5(3) + 7²
= 15 + 49
= 64
A scale says that 2 inches equals 50 miles.
How many inches would equal 250 miles?
Answer:
10 inches
Step-by-step explanation:
we know that 2 inches is equal to 50 miles, so:
2x = 50
x= 25, which means that 1 inch is 25 miles.
250/25 = 10, which means that it would take 10 inches to be equal to 250 miles.
PLS Help Ill give you 20 points.
Answer:
Mia and her family went to dinner, and the bill, including tax, came to $54.65. Mia suggested giving the server a gratuity of about 20 percent of the bill.
If they give a gratuity of 20 percent, what would be the tip rounded to the nearest dollar?
✔ $11
If they give a gratuity of 20 percent, rounded to the nearest dollar, what is the total cost of the dinner, including the tip?
✔ $65.65
Step-by-step explanation:
The amount of tip was $11 and the total cost of dinner including tip was $66.
Given that, at the dinner Mia and her family get the bill including tax, of $54.65.
Mia wants to give the server a gratuity of about 20 percent of the bill.
We need to find the amount of tip given and total cost of dinner including the tip.
a) To calculate the tip, we need to find 20 percent of the bill amount, which is $54.65.
20 percent of $54.65 = 0.20 × $54.65
= $10.93.
Rounding this amount to the nearest dollar, the tip would be $11.
b) To find the total cost of the dinner, including the tip, we need to add the tip amount to the bill.
Bill amount: $54.65
Tip amount: $11
Total cost of dinner = $54.65 + $11 = $65.65.
Rounding this total cost to the nearest dollar, the total cost of the dinner, including the tip, would be $66.
Hence the total cost of the dinner, including the $11 tip, was $66.
Learn more about Percentage click;
https://brainly.com/question/32197511
#SPJ4
If the simple interest on %900 for 3 years was $108, what was the rate of interest?
A. 3%
B. 4%
C. 12%
D. 25%
Answer:
B) 4%
Step-by-step explanation:
Interest = Principal x Rate x Time
108 = 900 x 3 x r
108 = 2700r
108/2700 = r
r = 0.04 or 4%
How much time has elapsed in between 22:05:00 and 1:25:15?
Answer:
I got it!
Step-by-step explanation:
-20 Hours, -39 Minutes, -45 Seconds
or: -0.12 total weeks
or: -0.86 total days
or: -20.66 total hours
or: -1,239.75 total minutes
or: -74,385.00 total seconds
A circular tracks has a radius of 140 meters what is the diameter of track
Answer:
Hello! The answer is 280 meters :)
Step-by-step explanation:
The radius is basically just the diameter halved - in other words, the diameter is the radius multiplied by 2.
So if we multiply the radius (given, 140) by 2, we get 140 x 2, which is 280!
The diameter of the track is 280 meters.
last one was a bot one so... someone please answer this time ill give brainliest!!
1) 180 degrees
The sum of the three angles of any triangle is equal to 180 degrees.
can you have a negative variable in algebra 1
like say
-x
the -x is by itself
What is the sum of this problem?
Step-by-step explanation:
= (3x² - 4) + (5x² + 8)
= (3 + 5)x² + (-4 + 8)
= 8x² + 4
what is x²+2x factorise it please
[tex]x^2+2x\\\\=x(x+2)[/tex]
Answer:
x(x+2)
Step-by-step explanation:
x*2=xx
=xx+2x
=x(x+2)
Can someone help me with math pls no links pls I lost a lot of points because someone put a link. THANK YOU
Answer:
THE ANSWER TO YOUR QUESTION IS B or 28/35 and 10/35
Step-by-step explanation:
we are going to focus on the 2/7 and the 10/35.
2 goes into 10 5 times. so 5 times 7 is 35. So that is true, the rule is what you do to the top you do to the bottom.
so basiclly 5 times 2 is 10 and 5 times 7 (from 2/7) is 35. so we then get 10/35.
now we will move onto the 25/35 and 4/5.
again 5 goes into 35 7 times. so 5 times 7 is 35. so we figured out how many times 5 goes into the denominator.
Now we have to figure out how many times 4 goes into 28. We got the four from the 4/5. so 28 divided by 4 is 7!!!
let me know if you dont get it im am always bord and eager to help others!!
THANKS FOR LETTING ME ANSWER!!
1b. If you draw a card with a value of three or less from a standard deck of cards, I will pay you $41. If not, you pay me $11. (Aces are considered the highest card in the deck.)
Step 2 of 2: If you played this game 877 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
-38,588 (losing chances)
7,016 (winning chances)
Step-by-step explanation:
There are 52 cards in a standard deck.
4 suits: hearts, diamonds, clubs, and spades
Each suit has four 2's, and four 3's. That means that there are 8 chances you will win $41. and 44 chances you will lose $11.
8 × 877 = 7,016 chances you will win $41.
44 × 877 = 38,588 chances you will lose $11.
Find the sum of the interior angle measures of the polygon.
Answer:
1080 degrees
Step-by-step explanation:
The sum of the interior angles of any polygon is:
Sum = (n - 2) * 180
Where n represents the number of vertices of the polygon
This polygon has 8 vertices so:
(8-2) * 180 = 6*180 = 1080 degrees
what is the compound inequality for -6x+1>-5 and 3x+4>1
Answer:
it is 45 bc i think it is bc howugontellme
translate the phrase into an algebraic explanation. 3 less then c. no links pls
Answer:
3<c
Step-by-step explanation:
HEPP me plleaseeee eeeeee
