Answer:
242880
Step-by-step explanation:
In the English alphabet, we have 5 vowels. To form a string of 5 English letters in which it starts with two consecutive vowels; then we have the following.
In the first space, 5 vowels are possible.
in the second space, 4 vowels are possible since there is no room for repetition of letters.
Now, the total number of ways of assigning two distinct vowels in the first two spaces = 5 × 4 = 20
From the question, since it is said that the letter starts with two consecutive vowels, it implies that starting from the third letter, it can be filled with all the remaining alphabet, be it a vowel or consonant.
Thus, the remaining alphabet = 26 - 2 = 24 alphabets to fill the 3 remaining spaces, which can be achieved in 24P3 ways.
P(24,3) = 24!/(24-3)!
P(24,3) = 24!/21!
P(24,3) = 24 × 23 × 22 × 21! / 21!
P(24,3) = 24 × 23 × 22
P(24,3) = 12144 ways
Thus, the total number of strings of five English letters that start with two consecutive vowels without having repeated letters is:
= 5 × 4 × 24 × 23 × 22
= 242880
5 4 24 23 22
Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)
tan(x) − 2 sin(x) tan(x) = 0.
Answer:
[tex]0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi[/tex]
Step-by-step explanation:
Given the equation:
[tex]sin(x)-2sin(x) tan(x)=0[/tex]
To find:
The solutions of given equation in the range [0, 2[tex]\pi[/tex]) i.e. 0 can be in the answer but [tex]2\pi[/tex] can not be there in the answer.
Solution:
Taking [tex]tan(x)[/tex] common, we get:
[tex]tan(x) (1-2sin(x))=0[/tex]
The solutions can be given as:
[tex]tan(x) = 0[/tex] OR [tex]1-2sin(x) = 0[/tex]
Let us solve both the equations one by one:
First equation:
[tex]tan(x) = 0\\ \Rightarrow x=0, \pi[/tex]
Second equation:
[tex]1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}[/tex]
Therefore, the answers as a comma separated list are:
[tex]0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi[/tex]
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
2:3
3 to 2
StartFraction 5 Over 3 EndFraction
3 to 5
Answer:
3 to 5
Step-by-step explanation:
a family of 6 goes to the local sandwich shop. All six people order the combination meal, which includes a drink and a sandwich for $6.99. One person thinks the total bill will be around $30. Is this a reasonable estimate?
Answer:
No, a reasonable estimate is around 6 times $7 = $42
Step-by-step explanation:
$6.99 is rounded up to 7, and there are 6 people who ordered a $7 meal. And 6 times 7 is 42
what is 3/4 multiple by 114/5
Answer:
17 1/10
Step-by-step explanation:
17 is the whole number
3. Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer.
Answer:
His answer is correct. Because..
Step-by-step explanation:
9 ÷ 4 = 2.25
(Nine divided by four is Two point Twenty-Five.)
His answer was correct:
(200*0.09)=18
18*16=288
200+288=488
A bakery offers a sale price of $2.90 for 6 muffins. What is the price per dozen?
Answer:
8.70
Step-by-step explanation:
Answer:
the price for per dozen would $5.80 I hope this is right
Step-by-step explanation:
you multiply $2.90 by 2 because the muffins are 2.90 for 6 muffins so if you add 6 on it would be a dozen so all you have to do it multiply 2.90 by 2 please tell me if this is correct or wrong if it is wrong i will change it to the correct answer thank you
PLZ HELP WILL GIVE BRAINLIEST AND ITS NOT TOO HARD JUST IN A RUSH!!!! ;)
Answer:
5/6
Step-by-step explanation:
"Thus, 5/6 is the simplified fraction for 20/24 by using the GCD or HCF method. Thus, 5/6 is the simplified fraction for 20/24 by using the prime factorization method."
Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the surface of the sea. On a number line, what is the distance between the two elevations?
a:7
b;8
c:13
d:14
Answer:
13
Step-by-step explanation:
The city council voted on a new tax. 21 city council members voted in favor of the tax and 4
voted against the tax. What percentage of the city council members voted in favor of the tax?
Write your answer using a percent sign (%).
Answer:
25%
Step-by-step explanation:
The total number of city council is 80 and 20/80 is 1/4
The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.
Based on the graph, how many real number solutions does the equation x3 + 6x2 + 12x + 8 = 0 have?
no real number solutions
one real number solution
two real number solutions
three real number solutions
As per cubic equation, there will be one real solution of the given equation.
What is a cubic equation?"A cubic equation is an algebraic equation of degree three and is of the form ax³ + bx² + cx + d = 0. x is a variable.
Here a, b and c are the coefficients and d is the constant"
Given cubic equation is:
x³ + 6x² + 12x + 8 = 0
⇒ x²(x + 2) +4x(x + 2) + 4(x + 2) = 0
⇒ (x + 2)(x² + 4x + 4) = 0
⇒ (x + 2)(x + 2)² = 0
⇒ (x + 2)³ = 0
⇒ x = -2
There will be one real solution of the given equation.
Learn more about cubic equation here: https://brainly.com/question/9390802
#SPJ2
A. A number line from 0 to 20 in increments of 2. A point is at 4 with a bold line starts at 4 and is pointing to the right. B. A number line from 0 to 20 in increments of 2. An open circle is at 4 with a bold line starts at 4 and is pointing to the left. C. A number line from 0 to 20 in increments of 2. A point is at negative 4 with a bold line starts at negative 4 and is pointing to the right.
The graph that represents x < 4 is . Is it A or B or C
The graph that represents 4 ≤ x is . Is it A or B or C
Answer:
B & A Is The Answer
Step-by-step explanation:
Answer:
1. B 2. A
Step-by-step explanation:
11. The table shows the relationship between x and y values.
х
35
45
65
55
82
y
94
88
76
What is the slope of the linear function in decimal form?
Answer:
Slope = 0.6
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By applying this rule in the table attached,
Let the two points are (35, 94) and (45, 88) through which the graph of a linear function is passing.
Slope of the linear graph = [tex]\frac{94-88}{45-35}[/tex]
= [tex]\frac{6}{10}[/tex]
= 0.6
Therefore, slope of the linear function is 0.6
Question 17 (5 points)
Solve 4x + 3y = 2 for y.
A) y= - 4x + 2
B) y = 4x-2
C) y= 4/3x - 2/3
D) y= -4/3x+2/3
Answer:
D
Step-by-step explanation:
y= -4/3x+2/3
A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. A bathroom sink faucet streams 0.75 gallon of water in 18 seconds. Which faucet will fill a 3-gallon container faster?
Answer:
A kitchen sink faucet
Step-by-step explanation:
0.5 gallon of water × 6 = 3 gallons
10 second × 6 = 60 seconds = 1 minute
0.75 gallon of water × 4 = 3 gallons
18 seconds × 4 = 72 seconds = 1 minute 12 seconds
1 minute is faster than 1 minute and 12 seconds by 12 seconds
so a kitchen sink faucet
what does descendant mean
Answer:
a person, plant, or animal that is descended from a particular ancestor.
Guys please help
Relative frequencies are calculated as _____.
A. Median
B. Totals
C. Percentages
D. Ranges ?
Answer:
B.
Step-by-step explanation:
Answer:
The answer is percentages
Step-by-step explanation:
I got it right on a quiz
Plz helpppppppppppppppp
Is 56 × 19/20 greater than or less than 56?
Answer:
Less
Step-by-step explanation:
56 is multiplied by 19/20 which is obviously less than one
Answer:
Step-by-step explanation:
56/60 = 0.9333
19/20 = 0.95
Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.9333 is NOT greater than 0.95 which also means that 56/60 is NOT greater than 19/20.
Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!
Which algebraic expression represents the amount of money four friends will pay to split the cost of a $20.00 gift?
A) f + 20
B) 20f
C) 20 ÷ f
D) f ÷ 20
guys, dark blue or blue for my pen?
Answer:
Blue.
Step-by-step explanation:
Because I think blue is the second best color. ( 1st best being black.)
Jorge Martin y Andres compraron una pieza grande de que
so en oferta y la dividieron en partes iguales. Jorge le regalo
a su hermana la mitad del queso que le toco que parte de
todo el queso recibió la hermana de Jorge??
Answer:
theres no numbers and its in Spanish
-8(3-s)=32 how will I solve for s becaus I am confused
Answer:s=7
Step-by-step explanation:
-8(3-s)= 32
Multiplication
-24+8s=32
Here you have to add 24 on both sides
8s= 56
Division by 8
s=7
Answer:
S=7
Step-by-step explanation:
Vocabulary: Match each of the vocabulary words with the correct definitions.
Answer:
Sorry, but we can't do the whole assignment for you. Though I can answer one, number 8 is a Y-Intercept
Step-by-step explanation:
Please help me ;-; idk how to do this
Answer:
7.5
Step-by-step explanation:
12.5/10=1.25
7.5/6=1.25
Write a word problem with 6 divided 3/4.
Answer:
If she divided 6 of a pound into equal portions of 3/4 of a pound, how many portions did she make?
Step-by-step explanation:
6 ÷ 3/4
Write an expression for "777 divided by ccc."
Answer:
7/c
Step-by-step explanation:i said so and im right so put it in and try to prove me wronge :)
Please help with 4 ill give out brainlyist . :(
Answer:
b
Step-by-step explanation:
Answer:
None of the above
Step-by-step explanation:
All of them say =27 but the total sum is not 27
URGENT TEST I HAVE!!!!
Answer:
I think they are asking the area of the triangle so we are going with that.
Step-by-step explanation:
Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.
so it is 4 cm wide
and 8 cm tall
length x width = area
8 x 4 = 32
32/2 = 16
So your answer should be 16 cm
What is the value of f(-3)?
Answer:
3) -11
Step-by-step explanation:
f(-3)=5*(-3)+4
f(-3)=(-15)+4
f(-3)=-11
Given:
f(x) = 5x + 4
To Find:
f(-3)
Answer:
(3) -11
Step-by-step explanation:
Evaluate 5x + 4 where x = -3:
[tex] \longrightarrow [/tex] 5(-3) + 4
5(-3) = -15:
[tex] \longrightarrow [/tex] -15 + 4
4 - 15 = -11:
[tex] \longrightarrow [/tex] -11
Pls help me , I really need help and I’ll let u get the brainliest
Answer:
y=5x
Step-by-step explanation:
x-months
y-books read
5*x = y