Final answer:
To calculate the number of 5-letter "words" with vowels on the ends from 'FORMULATED', you multiply the number of ways to choose the two vowels (4 x 3) by the number of ways to choose the three different consonants (6P3; 6 x 5 x 4), resulting in 1440 different possible "words."
Explanation:
To determine the number of 5-letter "words" that can be formed from the letters of the word FORMULATED with vowels at both ends, we need to consider two parts: the selection of vowels and the selection of consonants. The word FORMULATED contains four vowels (O, U, A, E) and six consonants (F, R, M, L, T, D).
First, we choose the vowels for the ends. There are 4 vowels, which means we can select the first vowel in 4 ways. After selecting the first vowel, we can still choose the second vowel from the remaining 3 vowels (since we are allowing repetitions). This gives us 4 x 3 possibilities for the vowels.
Now we select the consonants for the center three positions. We have 6 different consonants to choose from, and since each position must be filled with a unique letter, we can select these in 6P3 (6 permute 3) ways, which is calculated as 6 x 5 x 4.
Finally, to find the total number of 5-letter "words," we multiply the number of ways to choose the vowels by the number of ways to choose the consonants, giving us 4 x 3 x 6 x 5 x 4 which equals 1440 possible "words."
The weather reported says that there is a 12% chance that it will be unfortunately windy tomorrow. What is the probability that it will not be windy?
The table shows the number of boys and girls that have black blonde brown or red hair color.
Black* (boys) 4 (girls) 5
Blonde* (boys) 4 (girls) 6
Brown* (boys) 10 (girls) 8
Red* (boys) 2 (girls) 1
What is the probability that a student is a girl with blonde hair? (Round to nearest hundredth)
Answer:
im not sure but i think its 0.15
Step-by-step explanation:
the number of students are 40
there are 6 blonde girls out of those 40
6/40 simplified is 3/20
3/20 converted to decimal is 0.15
Answer:
its 0.20, the person saying its 0.15 is wrong
Circle D has its center on a radius of circle A. The diameter of circle D is equal
to the radius of circle A. Find the ratio of the area of circle D to the area of
circle A
Answer:
1:4
Step-by-step explanation:
40 points!!! List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar triangle
Answer:
ha
bi
cj
Step-by-step explanation:
same angles lol
Answer:
They are the same triangle so list the same angles in the same position
A=H
B=I
C=J
AB=HI
AC=HJ
BC=IJ
question is only 10 points but it's fine
Step-by-step explanation:
(I NEED HELP QUICK) What is the value of S4?
Answer:
5/27
Step-by-step explanation:
I think.
Can someone please help me with this
Answer:
median = 5
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact value in the middle then it is the average of the 2 values on either side, that is
3 , 3 , 5 , 5 , 7 , 9
↑ middle
median = [tex]\frac{5+5}{2}[/tex] = [tex]\frac{10}2}[/tex] = 5
Answer:
The median is 5.
Step-by-step explanation:
First we must arrange them in order.
3, 3, 5, 5, 7, 9
we must cross out the numbers to find the middle number so,
we cross the beginning and last number which in this is case is 3 and 9
3, 5, 5, 7
we must do the same thing we did so in this case the beginning is 3 and 7 is the end so we must cross them out
5,5
we have two numbers and no number in the middle
in this case we add the 2 numbers together so,
5 + 5 = 10
then we must divide the answer by 2
10/2 = 5
So, the median is 5
Hope this helps :)
A smaller circle passes through the center of, and is tangent to, a larger circle. The area of the smaller circle is 9 square units. What is the area of the larger circle in square units?
Answer:
Area of bigger circle = 36.32cm²
Step-by-step explanation:
Kindly find attached rough sketch for your reference
This problem bothers on the mensuration of flat shapes, a circle
Kindly find attached
Given data
Area of small circle =9cm³
Say we assume the all unit is in cm
From the diagram we can see that the diameter of the small circle is the radius of the bigger circle
So let us solve for the diameter of the small circle
9= πr²
r²=9/3.142
r²= 2.86
r=√2.86
r= 1.7cm
But diameter of small circle
d= 2r
d= 1.7*2= 3.4cm
Hence the radius of the bigger circle is 3.4cm
Area of bigger circle =πr²
=3.142*3.4²
=3.142*11.56
Area of bigger circle = 36.32cm²
Help with mathematics
The cost to rent each chair is $1.5 and each table is $6.
To solve this problem, let's denote the cost of renting one chair as C and one table as T.
From the given information, we can set up a system of equations:
1. 8C + 3T = 30 (for the first scenario with 8 chairs and 3 tables)
2. 2C + 5T = 33 (for the second scenario with 2 chairs and 5 tables)
Use the elimination method.
First, multiply equation 1 by 2 and equation 2 by 8 to eliminate C:
1. 16C + 6T = 60
2. 16C + 40T = 264
Now, subtract equation 1 from equation 2:
(16C + 40T) - (16C + 6T) = 264 - 60
34T = 204
Now, divide both sides by 34:
T = 204 / 34 = 6
Now, we have found that the cost to rent one table is $6.
Substitute T = 6 into equation 1:
8C + 3(6) = 30
8C + 18 = 30
8C = 30 - 18
8C = 12
C = 12 / 8
= 1.5
Therefore, the cost to rent one chair is $1.5.
Therefore, the cost to rent each chair is $1.5 and each table is $6.
n
A well in which groundwater rises because of pressure is called a(n)
a. artesian well.
b. geyser well.
C. spring well.
d. dry well.
Please select the best answer from the choices provided
Oo oo
O
Answer:
c
Step-by-step explanation:
I have 50 points to give what is 10 to the 3rd power :D
Answer:
1000
Step-by-step explanation:
thx bro :)
Geri used coupons at the grocery store and received a discount of $40.94. Once her discount was subtracted, the final cost of her purchases was $122.80. What was the approximate percent decrease in the price of her groceries due to the coupons? 15% 20% 25% 30%
Answer:
25%
Step-by-step explanation:
$122.80 + $40.94 = $163.74
$163.74 - 25% = $122.80
Answer:
The answer is C
Step-by-step explanation:
122.80 plus 40.94 equals 163.74
163.74 subtract 25% equals 122.80
yo i need help please the answer needs to be in meters
Answer:
49m³
Step-by-step explanation:
The difference between the volume of water used between August and September.
∆ in Volume = volume in September - volume in August
=6287 m³ - 6238 m³
=49m³
Answer:
49m3
Step-by-step explanation:
2x^2+2x-144=0 Answers?
Answer:
[tex]x = 8 \\ x = - 9[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} + 2x - 144 = 0 \\ 2 {x}^{2} + 18x - 16x - 144 = 0 \\ 2x(x + 9) - 16(x + 9) = 0 \\ (2x - 16)(x + 9) = 0 \\ \\ 2x - 16 = 0 \\ 2x = 0 + 16 \\ 2x = 16 \\ \frac{2x}{2} = \frac{16}{2} \\ x = 8 \\ \\ x + 9 = 0 \\ x = 0 - 9 \\ x = - 9[/tex]
which expression is equivalent to -a*b
a.) a*(-b)
b.) b-a
c.) (-a)(-b)
d.) -a+b
There are 323232 forwards and 808080 guards in Leo's basketball league.
Leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards.
If Leo creates the greatest number of teams possible, how many guards will be on each team?
Answer:
b.
Step-by-step explanation:
Answer:
there are 5 guards on each team
Step-by-step explanation:
Since we have given that
Number of forwards in Leo's basketball league = 32
Number of guards in Leo's basketball league = 80
We need to find the greatest number of teams possible.
So, we will find "Highest common factor " i.e HCF of 32 and 80 = 16
So, Number of guards on each team would be 5
What is the cosine of angle A ?
Answer:
20/29, or option 3
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. In this case, the length of the adjacent leg is 20, and the length of the hypotenuse is 29, meaning that the cosine of angle A is 20/29. Hope this helps!
What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4 2 9 12 y = negative 2 x minus 6 y = negative 2 x + 6 y = 2 x minus 6 y = 2 x + 6
50 POINTS PLEASE DO NOW>>> ASAP
Answer:
y = 2 x minus 6
Step-by-step explanation:
(-6,-18) and (-1,-8)
Slope: (-8 - -18)/(-1 - -6)
10/5
2
y = 2x + c
-8 = 2(-1) + c
-8 = -2 + c
c = -6
y = 2x - 6
y = 2x - 4
Answer:
c
Step-by-step explanation:
What is the m<2 if m<4 = 81° and m<3 = 40°?
These are the answer selections
40°
59°
41°
60°
Answer:
(1)24 kmph (2) 54 kmph (3) 72 kmph (4) 81 kmph 18. Two trains are running ... The length of the faster train is (l)170m (2) 100 m (3) 98 m (4) 85 m 19. In a kilometre race, if A gives B a headstart of 40 m, then A wins by 19 seconds.
=40
Step-by-step explanation:
Pleas help me please.
Answer:
Step-by-step explanation:
When the circle is fill in it means theres more than one answer so it can be greater than or equal to or less than or equal to. When theres only a circle is means greater then or less than
I hope this helps you to get the right answers.
Please help! Just reflections.
Answer:
The new points will be:
A" - (-4, -5)
B" - (-4, -2)
C" - (-1, -2)
Answer:
i added a photo with the answer :)
Step-by-step explanation:
Which expression is equivalent to 25x – 10y?
A. 5(5x – 2y)
B. 5(20x - 5y)
C. 5(5x – 10y)
D. 5(20x – 10y)
What is it?????
The expression equivalent to (25x - 10y) is (5(20x - 10y)) thus option D, is correct.
To determine the equivalent expression, we can use the distributive property, which states that (a(b + c) = ab + ac). In this case, option D,(5(20x - 10y)), applies the distributive property by multiplying 5 to both terms within the parentheses. The result is [tex]\(5 \times 20x - 5 \times 10y\)[/tex], which simplifies to (100x - 50y). Therefore, option D is equivalent to (25x - 10y).
Understanding the distributive property is fundamental in algebraic simplification. When applying the distributive property to option D, each term inside the parentheses is multiplied by 5, resulting in the expression (100x - 50y). This matches the given expression (25x - 10y), confirming that option D is the correct equivalent expression.
Recognizing and using algebraic properties, such as the distributive property, is crucial for simplifying expressions and identifying equivalent forms. In this case, option D accurately represents the given expression in a different but equivalent form, providing a valuable tool for algebraic manipulation and problem-solving in mathematics.
Final answer:
The expression that is equivalent to 25x – 10y is 5(5x – 2y), where 5 is factored out as the greatest common factor.
(Option A)
Explanation:
The expression equivalent to 25x – 10y can be found by factoring the greatest common factor out of each term. Looking at 25x and -10y, the largest number that divides both 25 and 10 is 5. Factoring a 5 out of each term, we get 5(5x – 2y). Hence, the equivalent expression is 5(5x – 2y).
So, the answer to the question is:
A. 5(5x – 2y)The factored expression, 5(5x – 2y), is the result of extracting the greatest common factor from 25x – 10y. This simplified form is equivalent to the original expression and confirms that option A, 5(5x – 2y), is the correct answer.
Fine x (in image) in the first one
Answer:
x = 58
Step-by-step explanation:
We can use algebra to solve this one! Since <FAE + <FA= 180 we can write :
x + 7 + 2x -1 = 180
Let's simplify the left side to :
3x + 6 = 180
Subtract 6 to isolate the variable.
3x = 174
Divide both sides by 3 to get
x = 58
A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling a number less than 5?
Answer:
[tex] \frac{5}{6} [/tex]
Answer:
15.8%
Step-by-step explanation:
Which choice gives the x-value for the equation y = -8 +x/2
?
Answer:
what are the choices
Step-by-step explanation:
Answer:
2y+16=x (last choice)
Step-by-step explanation:
if V is the midpoint of QS and W is the midpoint of RS, then was is VS?
4 units
8 units
10 units
20 units
The length of VS will be 20 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
V is the midpoint of QS and W is the midpoint of RS.
Now,
Since, V is the midpoint of QS and W is the midpoint of RS.
Hence, We get;
⇒ QV = VS
And, RW = WS
Cleary, Triangle QRS and Δ VWS are congruent.
Hence, We can formulate by the definition of proportional;
⇒ VS / QS = VW / QR
Substitute all the values, we get;
⇒ 2a / 4a = (2a - 2) / (3a + 6)
⇒ 1/2 = (2a - 2) / (3a + 6)
⇒ 3a + 6 = 2 (2a - 2)
⇒ 3a + 6 = 4a - 4
⇒ 6 + 4 = 4a - 3a
⇒ 10 = a
⇒ a = 10
Thus, The value of length VS = 2a
= 2 × 10
= 20 units
Therefore, The length of VS will be 20 units.
Learn more about the triangle visit:
https://brainly.com/question/17335144
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17 POINTS yayyyyyy!!!!!!!!!!!!!!!!!!!!!!!!!!
Which measurement could be surface area measure?
ANWSERS
o 24 km2
o 18 m3
o 63 oz.
o 12 mm
Answer: 24 km2
Step-by-step explanation: Surface area is measured by multiplying two lengths. For example: The area of a square with sides of length a is Area = a * a = a²
Therefore, the answer is 24 km2
I hope this helps!
Answer: 24 km2!!!
Step-by-step explanation:
which view is not correct for the figure above?
Answer:
Front
Step-by-step explanation:
PLEASE HELP!!!! I WILL MARK THE BRAINLIEST!!!!
After calculating the unit rates and applying the given code, the final answer to the puzzle is 12.
The puzzle involves analyzing the unit rates of different line graphs and then performing a specified mathematical operation on them using a given code.
Calculate the unit rates for each graph:
Graph A: 8/4 = 2
Graph B: -6/3 = -2
Graph C: 10/5 = 2
Graph D: -8/4 = -2
Graph E: 8/4 = 2
Graph F: -6/-3 = 2
Apply the given code: [E * (B - F + A) + (C - D)]
Substitute the calculated unit rates into the code: [2 * (-2 - (-2) + 2) + (2 - (-2))]
Simplify the expression: [2 * (2 + 2) + (2 + 2)]
Perform the calculation: [2 * 4 + 4]
Get the final answer: [8 + 4], which equals 12.
Therefore, the final answer to the puzzle is 12.
What is the advantage to exercise?
A Improved quality of life
B Decrease chronic disease
C Stress relief
D All of the above
HELP PLEASE ITS A GRADE I WILL GIVE 5 STARS TO WHOEVER ANSWERS ALL 5
Answer:
It 20%
Step-by-step explanation:
Yw ->-