Answer:
241,920 different ways
Step-by-step explanation:
We have 6 vowels, but A repeats twice and I repeats three times, so the number of ways in which each can either start or end the word:
³P₂ = 3! / (3 - 2)! = 6 / 1 = 6 ways
You can start words with A, E or I, or end the words with A, E, or I.
the remaining 8 consonants can be arranged in 8! ways = 40,320 ways
total number of ways that the letters can be arranged = 6 x 40,320 = 241,920 different ways
The total number of ways the researcher arrange the word CALLITRICHIDAE that start or end with vowels is 6 ways and this can be determined by using the given data.
Given :
Word -- CALLITRICHIDAE
The following steps can be used in order to determine the total number of ways the researcher arrange the word CALLITRICHIDAE:
Step 1 - First, calculate the total number of vowels in the given word CALLITRICHIDAE.
Total vowels = 6
Step 2 - Now, determine the total number of times a letter repeat in the word CALLITRICHIDAE.
So, the letter A appears 2 times and letter I appears 3 times in the word CALLITRICHIDAE.
Step 3 - Now, evaluate the total number of ways the word CALLITRICHIDAE is arranged:
[tex]\rm Total \;Number\; of\; Ways=\; ^3P_2 = \dfrac{3!}{(3-2)!}=6[/tex]
For more information, refer to the link given below:
https://brainly.com/question/1216161
upike 5 1/2 miles from your house to a skatepark you travel one half of that distance in the woods Buck along the bank of a stream for the last half of the woods on how many miles of your trip do you bike along the bank of the stream
Answer:
1
Step-by-step explanation:
hi how u doin
Step-by-step explanation:
NUMBER 3. (p^1/5)(p^7/12)^-2
Answer:
1
Step-by-step explanation:
PLLLLEASSSSEEEEEW HELLLLLLLLPPPPPP
Answer:
21 i think
Step-by-step explanation:
to solve for the sine you have to look at the hypotenuse aka the opposite side.
Sorry I cannot solve for the Sin, I am a child of God, a brother to Jesus. I do not believe in sins, since I have never sinned in my life. I have been enlightened from the gods themselves. They taught me right from wrong and wrong from right. Anybody can be forgiven for their sins, such as now. Your sins are now forgiven by a higher being.
How do I do this using long division . Please help!!
Answer:
Step-by-step explanation:
Marcus corrió 5 millas en 45 minutos.
A. Calcula su tasa unitaria en millas por hora. (Redondea a la décima de milla más cercana)
B. Encuentre su tasa unitaria en millas por minuto. (Redondea a la décima de milla más cercana)
PLZZZ HELPPPP PLZZZ......
Answer:
45 units squared
Step-by-step explanation:
Basically you know that two parts of the square is equal to a whole, as 50 plus 50 is 100.
So on the left diagonal, it is equal to 3 units squared, since there are 6 parts and each unit diagonal is equal to 1/2 of a square.
On the right side, there are also 3 units squared, since there are 6 parts and blah blah blah.
Even if it looks different, two partial squares will still add up to one whole square. So the diagonals are equal to 6 units.
Then you can add up your full squares that you already know of so there are 9 units on the bottom row and another 9 on top.
Then you add 7 for the third layer and 6 more on the next.
There are 4 on the next layer and 3 and another square.
So 9 + 9 + 7 + 6 + 4+ 3 + 1.
That is 39.
But you may say: BUT WAIT SCOTTY THERE IS ANOTHER 6
me: oh yah i frgot bro thanks m8
So since there is another 6 more units, it is 45 since 39 + 6 is 45.
Hope this helps boi
At what interest rate will P20,000 accumulate to P26,080 in 8 years time?
Answer:
Rate of interest = 3.8%
Step-by-step explanation:
Given:
Initial amount p = 20,000
Final amount p + I = 26,080
Number of year t = 8 year
Find:
Rate of interest
Computation:
I = 26,080 - 20,000
I = 6,080
I = PRT
6,080 = (20,0000)(r)(8)
Rate of interest = 3.8%
1. A baseball team sells snacks at their games to raise money. At their last game, they
made as much money as they made at their first game.
Did they make more money at their first or last game? Explain how you know.
Answer:
They're the same.?
Step-by-step explanation:
If they made the same amount on their last game as their first they'd be the same.
Answer:
If I am reading it right, they would have made the same amount of money considering it said "At their last game, they made as much money as they made at their first game."
How much does kaylynn earn per week if she makes $8.75 per hour and works 37.5 hours?
Answer:
$328.12
Step-by-step explanation:
8.75X37.5
Frank bought 4.3×10^4 yards of carpet to install in the new house. His wife said "We needed 5,000 yards! You didn't buy enough!"
Who is correct, Frank or his wife? Demonstrate with math to show your answer.
Answer:
Frank is correct.
Step-by-step explanation:
To convert 4.3 x [tex]10^{4}[/tex] into regular notation I move the decimal 4 places to the right and get 43,000. This is way more than enough for the 5,000 yards needed for the carpet. So, Frank's wife is wrong about it not being enough.
Answer:
The husband is correct. They needed 5,000, and he brought 43000.
Step-by-step explanation:
4.3*(10^4)=43000
A circular table top has a radius of 3 feet. A decorative trim is placed along
the outside edge of the table. How long is the trim?
6.28 feet
18.84 feet
12.56 feet
25.12 feet
Answer:
6.28
Step-by-step explanation:
I think it might be 6.28
Ken made $14,500 in five months at his new job. How much can he make in two years if his pay remains constant?
Answer:
$69,600
Step-by-step explanation:
Figure out how much Ken makes a month by dividing 14500/5.
This gives you $2900.
If Ken makes $2900 a month and there are 24 months in two years, multiply his monthly earnings by 24 months.
$2900 * 24 = $69,600
A 6 ft tall person walks away from a 10 ft lamppost at a constant rate of 3 ft/s. What is the rate (in ft/s) that the tip of the shadow moves away from the pole when the person is 15 ft away from the pole
Answer:
12.5 ft/s
Explanation:
Height of person = 6 ft
height of lamp post = 10 ft
According to the question,
dx / dt = 5 ft/s
Let the rate of tip of the shadow moves away is dy/dt.
According to the diagram
10 / y = 6 / (y - x)
10 y - 10 x = 6 y
y = 2.5 x
Differentiate both sides with respect to t.
dy / dt = 2.5 dx / dt
dy / dt = 2.5 (5) = 12.5 ft /s
Please helpp!!
Harriet is making loaves of bread for her grandmothers bakery. She has 12 1/12 cups of flour. The recipe calls for 5 1/2 cups of flour to make 3 loaves of bread. Which equation can be used to find L, the total number of loaves of bread that Harriet can make?
no c q desir xd slnddlnsod
The sum of three times a number and eight is 23. Find the number.
Answer:
5
Step-by-step explanation:
23-8 = 15
15/3 = 5
5x3 = 15 +8 = 23
The answer is 5
I got you bro
How much would 110 commercial
At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50.
Becky bought 8 oatmeal cookies for $6.00.
Part A
Which graph represents the situation?
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 point 5 comma 1 point 7 5, 5 comma 6, and 6 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 comma 1 point 6, 3 comma 5 point 2 5, and 4 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 1 point 5, 6 comma 4 point 5, and 8 comma 6.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 0 point 7 5, 6 comma 2 point 2 5, and 8 comma 3.
Part B
Look at the graph you chose in Part A. Do the number of cookies and the cost have a proportional relationship?
Use the drop-down menus to show and explain your answer.
Choose...
; the graph
Choose...
a straight line through the
Choose...
.
Part C
What does the point (1, 0.75) represent in this situation? What does the point (0, 0) represent?
1 cookie costs $0.75; no cookies cost $0
1 cookie costs $7.50; no cookies cost $0
0.75 dozen cookies cost $1; 0 dozen cookies cost $0
1 dozen cookies cost $0.75; 0 dozen cookies cost $0
Answer:
A=3rd one
B=Yes, Its a straight line through the origin
C=1 cookie costs $0.75
Step-by-step explanation:
The reason why C is $0.75 is because of ratios.
2:$1.5
2 divided by 2=1
2 divided by $1.50=$0.75
$0.75 per cookie
why do people purge or clean out their financial records instead of keeping every financial document they receive?
Answer:
They throw out the records they no longer need or seen unnecessary because they no longer see the importance of having it.
Step-by-step explanation:
Zoe and Maria plan to hike at a rate of 3 miles per hour and canoe at a rate of 6 miles per hour. They want to travel no more than 8 hours and cover at least 40 miles in one day. Which system of inequalities models the situation?
Answer:
h + c ≤ 8
3h + 6c ≥ 40
where h is the number of hiking hours
c is the number of canoeing hours
Step-by-step explanation:
Here, we want to write a system of inequalities;
Let number of hiking hours be h and the number of canoeing hours be c
h + c ≤ 8
Covering at least 40 miles;
Recall;
distance = speed * time
for 3 miles, h hours, we have 3h miles
for 6 miles , c hours , we have 6c
At least 40 miles, inequality will be ;
3h + 6c ≥ 40
What is the scale factor of ABC to DEF?
Answer:
The answer is 8.
Step-by-step explanation:
Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC.
The scale factor of ABC to DEF would be 1/3 Thus, the correct option is B.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
In a triangle ABC and DEF
The sides are as follows 5 to 15 which is thrice the length of the side in ABC.
4 to 12 which is 3 times the length of the side in ABC.
3 to 9 which is 3 times the length of the side in ABC.
Thus, the scale factor would be 1/3.
Learn more about scale factors;
https://brainly.com/question/10518717
La edad es un dato cuantitativo o cualitativo
is 12/4 and 21/7 proportional?
Answer:
Yes
Step-by-step explanation:
12 ÷ 4 = 3
21 ÷ 7 = 3
3 = 3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
tAnswer:
Step-by-step explanation:2+2= 4
5_5=0
Solve 2x + 6 < 10 or 2x + 8 > 20.
Answer: is it graph
Step-by-step explanation:
Answer:
for the first equation x=0 or 1
the second equation x=7 and above.
Step-by-step explanation:
The first equation you just need a number that will keep the 2x+6 side less than 10. and the second equation you just need a number that will make the 2x+8 be greater than 20.
2 Solve the equation for t. Show your work.
5(2t - 3) – 7.5t = 0.5(12 – t)
PLEASEEEE HELP ME
Answer:
t = 7
Step-by-step explanation:
5(2t - 3) – 7.5t = 0.5(12 – t)
5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5
10t - 15 - 7.5t = 6 - 0.5t {Now, combine like terms}
10t - 7.5t - 15 = 6 - 0.5t
2.5t -15 = 6 - 0.5t {Add 15 to both sides}
2.5t = 6 - 0.5t + 15
2.5t = 21 - 0.5t { Add 0.5t to both sides}
2.5t + 0.5t = 21
3t = 21 {Divide both sides by 3}
t = 21/3
t = 7
Simplify 4 ×[2+1(47−5)÷7]
Answer:
32
Step-by-step explanation:
Multiply 4[2+1(47-5)÷7]
Divide 4(2+42÷7)
Calculate 4(2+6)
Multiply 4*8
32
1 . What do you need to find ?
2. Write an equation to represent the problem?
3. What is the solution to the problem?
Each individual letter in TENNESSEE is placed on
a piece of paper in a hat. If one letter is selected at
random from a hat, determine probability that:
15. Letter S is selected
16. A consonant is selected
17. Letter T or N is selected
18. The letter V is not selected
19. The letter W is selected
20. The letter S is not selected
Mateo has 7/2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can make?
Answer:
2 batches-
Step-by-step explanation:
a cashier at the grocery store rung up 2 customers in 8 minutes. at this rate how many customers can he ring up in 28 minutes?
Answer:
7 1/2 customers
Step-by-step explanation:
23+3/5r r=-1/2
Please help