Answer: 8
Step-by-step explanation:
4x8= 32
32x8= 256
256x8= 2048
how many four-letter words can be formed using the letters of the word finite? a. 240 b. 360 c. 48 d. 600
There are 360 ways for a four-letter words that can be formed using the letters of the word finite. So, correct option is B.
To find the number of four-letter words that can be formed using the letters of the word "finite," we can use the permutation formula, which is:
nPr = n! / (n-r)!
where n is the total number of items to choose from, and r is the number of items to choose. In this case, we have 6 letters to choose from (n=6), and we want to choose 4 letters (r=4).
Therefore, the number of four-letter words that can be formed is:
6P₄ = 6! / (6-4)!
= 6! / 2!
= (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)
= 720 / 2
= 360
Therefore, the answer is 360, which corresponds to option B.
In summary, there are 360 four-letter words that can be formed using the letters of the word "finite," by using the permutation formula to calculate the number of possible arrangements of the 6 letters taken 4 at a time.
So, correct option is B.
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help me add a explanation please
Answer:
f(g(-1)) = -10
Step-by-step explanation:
f(-1) = -2(-1) -3
f(-1) = -5
g(-5) = (5^2) + 5(-5)
g(-5) = -10
How much interest will Henry save if he finances the vehicle over 36 months instead?
Answer:
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❣️Marlon wants to save money over a long period of time. He does not need to have easy access to the money, and he is worried about losing his investment. He would like to know the interest rate up front. Which of the following options would best suit his needs?
Marlon wants to save money over a long period of time. He does not need to have easy access to the money, and he is worried about losing his investment. He would like to know the interest rate up front. Which of the following options would best suit his needs?Bonds
List two ways an individual can improve his or her credit score.
Two ways an individual can improve his or her credit score is,
Pay bills on time and Ask for higher credit limits
What is a credit score?Three-digit credit scores are used to determine how risky it would be for a lender to give credit to a certain individual.
Ask to be added as an authorized user if a family member or acquaintance has a credit card account with a large credit limit and a solid track record of on-time payments.
The credit limit on the account can help your utilization because it is added to your credit reports.
If you make late payments, no credit improvement plan will work.
Even worse, missed payments may appear on your credit records for up to 7 1/2 years.
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If two men walk in opposite directions for 8 meters then turn left and walk six meters how far apart are they
Answer:
20 meters
Step-by-step explanation:
Write 3.01 repeating as a mixed number.
Answer:
3 1/100
Step-by-step explanation:
Place the decimal number over a power of ten.
Arun is driving on a long road trip. He currently has 9 gallons of gas in his car. Each
hour that he drives, his car uses up 1 gallon of gas. How much gas would be in the
tank after driving for 5 hours? How much gas would be left after t hours?
Gas left after 5 hours:
Gas left after t hours:
Please hurry
Answer:
9
Step-by-step explanation:
After driving for 5 hours, Arun's car would have used up 5 gallons of gas (1 gallon per hour for 5 hours). Therefore, the amount of gas left in the tank after driving for 5 hours would be 9 gallons - 5 gallons = 4 gallons.
To find the amount of gas left after t hours, we can use the formula:
Gas left after t hours = 9 - (1 x t)
Where t is the number of hours driven.
So, the amount of gas left after t hours would be 9 - t gallons.
After driving for 5 hours, Arun would have 4 gallons of gas left in his tank. If he drives for t hours, he would have (9 - t) gallons of gas left in his tank. The calculations are based on the fact that Arun's car uses 1 gallon of gas per hour of driving.
Explanation:To answer this question, we must understand that Arun's car uses 1 gallon of gas for every hour of driving. So, if he drives for 5 hours, his car will use 5 gallons of gas. Arun starts with 9 gallons of gas, so we subtract the 5 gallons of gas used from the 9 gallons of gas he started with. The result is:
9 - 5 = 4 gallons
So, after driving for 5 hours, Arun would have 4 gallons of gas left in his tank.
Similarly, if he drives for t hours, his car will use t gallons of gas. So, to find how much gas would be left after driving for t hours, we subtract t gallons from the 9 gallons he started with:
9 - t = (9 - t) gallons
Thus, after driving for t hours, Arun would have (9 - t) gallons of gas left in his tank.
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Sumita is following this recipe to make flapjacks.
Sumita uses 125 g of oats.
How many flapjacks is Sumita making?
Recipe: Makes 8 flapjacks
225 g margarine
150 g sugar
125 mL syrup
250 g oats
25 g sultanas
Answer:
20 flapjacks is the answer.
a researcher conducts an experiment comparing two treatment conditions with 10 scores in each treatment condition. how many participants are needed for the study if an independent-measures design is used, if a repeated-measures design is used, and if a matched-subjects design is used?
If an independent-measures design is used, a total of 20 participants would be needed, with 10 participants in each treatment condition.
If a repeated-measures design is used, only 10 participants would be needed since each participant would serve as their own control and be tested in both treatment conditions. If a matched-subjects design is used, the number of participants needed would depend on how many pairs of matched subjects are needed. For example, if 5 pairs of matched subjects are needed, then a total of 10 participants would be needed.
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factor the trinomial below. x^2+13x+42
Answer:
(x + 6)(x + 7)
Step-by-step explanation:
To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.
One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:
1, 42 -> 1 + 42 = 43
2, 21 -> 2 + 21 = 23
3, 14 -> 3 + 14 = 17
6, 7 -> 6 + 7 = 13
So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:
x^2 + 13x + 42 = x^2 + 6x + 7x + 42
Next, we can group the first two terms and the last two terms:
x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)
Now, we can factor out the greatest common factor from each group:
x(x + 6) + 7(x + 6)
Notice that we have a common factor of (x + 6) in both terms. We can factor this out:
(x + 6)(x + 7)
Anyone can answer this ?
Answer:
NOT nets = A, C, D, F
Nets = B, E, G, H
Figure B (Triangular prism)
SA: 3 rectangles + 2 triangles
Rectangles: (20·8) + (20·10) + (20·6) = 480 ft²
Triangles: (8·6)/2 + (8·6)/2 = 48 ft²
Total SA: 528 ft²
Figure E (Square pyramid)
SA: 1 square + 4 triangles
Square: 10·10 = 100 yd²
Triangles: (12·10)/2 + (12·10)/2 + (12·10)/2 + (12·10)/2 = 240 yd²
Total SA: 340 yd²
Figure G (Rectangular prism)
SA = 2 wide rectangles + 4 narrow rectangles
Wide: (7·11) + (7·11) = 154 cm²
Narrow: (2·7) + (2·7) + (11·3) + (11·3) = 94 cm²
Total SA: 248 cm²
Figure H (Cube)
SA = 6 squares
Squares: 6 x (1·1) = 6 m²
Total SA: 6 m²
I hope this helps and God bless!
Find the logarithms of the following numbers to the base 1/3: 1
Answer:
6.644
Step-by-step explanation:
is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14). Which is the rate of change for the interval between 2 and 6 on the x-axis? –3 one-third one-third 3.
The rate of change for the interval between 2 and 6 on the x-axis is 3.
Given
On a coordinate plane, a parabola opens up.
Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14).
What is the rate of change?A rate of change defines how one quantity changes in relation to another quantity.
The rate of change for the interval between 2 and 6 on the x-axis is;
\(\rm Rate \ of \ change =\dfrac{2-14}{2-6}\\\\Rate \ of \ change =\dfrac{-12}{-4}\\\\Rate \ of \ change =3\)
Hence, the rate of change for the interval between 2 and 6 on the x-axis is 3.
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Given g(x)=3x2+3 evaluate f(0) Please help me with this.
Answer:
Assume you meant: \(g(x) = 3x^{2}+3\)
Answer is 3
Step-by-step explanation:
Replace x with 0:
\(g(0) = 3(0)^{2} +3\) zero squared is zero
\(g(0) = 3(0) + 3\)
\(g(0) = 0 + 3\)
\(g(0) = 3\)
Step-by-step explanation:
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we have
\(g(x) = {3x}^{2} + 3\)
in this we have x = 0
\(g(0) = 3( {0})^{2} + 3\)
\(g(0) = 0 + 3\)
\(g(0) = 3\)
so we have x =3
Hope it helps
Find the value of the expression 5x7-4x4
For which pairs of functions is (f circle g) (x)?
f (x) = x squared and g (x) = StartFraction 1 Over x EndFraction
f (x) = StartFraction 2 Over x EndFraction and g (x) = StartFraction 2 Over x EndFraction
f (x) = StartFraction x minus 2 Over 3 EndFraction and g (x) = 2 minus 3 x
f (x) = one-half x minus 2 and g (x) = one-half x + 2
Answer:
2-241x
Step-by-step explanation:
Use the following compound interest formula to complete the problem. A = P (1 StartFraction r over n EndFraction) superscript n superscript t Currently you have two credit cards, H and I. Card H has a balance of $1,186. 44 and an interest rate of 14. 74%, compounded annually. Card I has a balance of $1,522. 16 and an interest rate of 12. 05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be? a. Card I’s balance increased by $53. 16 more than Card H’s balance. B. Card I’s balance increased by $13. 45 more than Card H’s balance. C. Card H’s balance increased by $35. 61 more than Card I’s balance. D. Card H’s balance increased by $49. 06 more than Card I’s balance. Please select the best answer from the choices provided A B C D.
Answer:
B. card I'' increased by 1.2986 = 13 more than card H's
Step-by-step explanation:
Please help me I have no idea how to do this
Answer:
-9. 125
Step-by-step explanation:
.
Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = in. EG = in. M∠X = ° m∠G = °
Answer:
ZX = 1.3 in
EG = 3.0 in
M∠X = 48°
M∠G = 25°
Step-by-step explanation:
As we can see in the attached figure that these two triangles are identical i.e their corresponding sides and angles are equal
Therefore if we say that
ZX = EF
So ZX = 1.3 in.
Now the same is applied for other sides and angles
EG = XY
So, EG = 3.0 in
M∠X = M∠E
hence, M∠X = 48°
For the M∠ G,
The angle is
= 180° - 107° - 48°
= 25°
Hence, the M∠ G is 25°
Complete the recursive formula of the geometric sequence 27,,-9,3-1,...
b(1)=
b(n)=b(n−1)⋅
Answer:
The recursive formula of the geometric sequence is:
aₙ = aₙ₋₁ (r)Step-by-step explanation:
A recursive formula is a formula using which every next term is based on the previous term.
Each next term of a geometric sequence can be determined when we multiply the previous term with a constant. That constant number is called a 'common ratio' which is denoted by 'r'.
Given the sequence
27, -9, 3, -1,...
Let us find the common ratio 'r' of all the adjacent terms
r = -9/27 = -1/3, r = 3/-9 = -1/3, r = -1/3
Thus, the common ratio is: r= -1/3
The recursive formula for the geometric sequence is:
aₙ = aₙ₋₁ (r)
Here,
aₙ represents the general term
aₙ₋₁ represents the previous term
'r' represents the common ratio
as
a₁ = 27
Substituting our values, we have
aₙ=aₙ₋₁(r)
Putting n=2 to get the second value
a₂=a₂₋₁(-1/3)
= a₁ (-1/3)
= 27 (-1/3)
= -9
Thus, the next term of a geometric sequence can be determined when we multiply the previous term with a constant.
Therefore, the recursive formula of the geometric sequence is:
aₙ = aₙ₋₁ (r)Answer:
b(1)= 27
b(n)=b(n-1)• -1/3
Step-by-step explanation:
answer on khan
Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all
Answer:
63+38=101
Step-by-step explanation:
Find y as a function of t if
576y′′+336y′+49y=0
y(0)=6, y′(0)=3
The y as a function of t if 576y′′ + 336y′ + 49y = 0; y(0) = 6, y′(0) = 3 is y = 6\(e^{-7/24x}\) + 4.75x\(e^{-7/24x}\).
The function is:
576y′′ + 336y′ + 49y = 0
The values are y(0) = 6, y′(0) = 3.
The coefficients of this linear differential equation are constant. So, we'll hazard a guess at the following solution:
y = \(e^{rx}\), r being the parameter.
We will calculate and add to the equation:
y' = r\(e^{rx}\)
Again integrate the function
y'' = r²\(e^{rx}\)
Substitute the value of y' and y'' in the function
576r²\(e^{rx}\) + 336r\(e^{rx}\) + 49\(e^{rx}\) = 0
(576r² + 336r + 49)\(e^{rx}\) = 0
576r² + 336r + 49=0
This equation is square. It only has one remedy: r = ±7/24
The general answer will therefore be:
y = A\(e^{-7/24x}\) + Bx\(e^{-7/24x}\)
To find A and B we'll first need to derive y:
y' = (-7/24)A\(e^{-7/24x}\) + B\(e^{-7/24x}\) - (7/24)Bx\(e^{-7/24x}\)
Introducing the initial conditions now:
y(0) = 6
y(0) = Ae⁰ + B × 0 × e⁰
6 = A × 1 + 0
A = 6
y'(0) = 3
y'(0) = (-7/24) × 6 × e⁰ + Be⁰ - (7/24) × B × 0 × e⁰
3 = (-7/24) × 6 × 1 + B × 1 - (7/24) × B × 0 × 1
3 = (-7/4) + B - 0
Add by 7/4 in both side, we get
B = 19/4
B = 4.75
And the general solution is:
y = 6\(e^{-7/24x}\) + 4.75x\(e^{-7/24x}\)
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A rectangular greenhouse has an area of 6,480 square meters. Its length is 120 meters.
The width of the greenhouse is
Answer:
54
Step-by-step explanation:
divide the 2 numbers
Which point has coordinates (-5, -5) ?
Please help ASAP!! I will give 20 points !! for correct answer
Answer:
Your answer is S
Step-by-step explanation:
You move 5 to the left on the X axis, side to side.
Then you move 5 down on the Y axis, up and down.
Find a basis for the column space and the rank of the matrix.
[2 4 −3 −6] [7 14 −6 −3]
[−2 −4 1 −2]
[2 4 −2 −2]
(a) a basis for the column space
(b) the rank of the matrix
(a) Basis for the column space: {[2, 7, -2, 2], [-3, -6, 1, -2]}
(b) Rank of the matrix: 2
What is the basis for the column space and the rank of the matrix [2 4 -3 -6; 7 14 -6 -3; -2 -4 1 -2; 2 4 -2 -2]?To find a basis for the column space and the rank of the matrix, we need to perform row operations on the matrix and find the pivot columns. The pivot columns will form a basis for the column space, and the number of pivot columns will give us the rank of the matrix.
Let's perform row operations on the given matrix to reduce it to row-echelon form:
[2 4 -3 -6]
[7 14 -6 -3]
[-2 -4 1 -2]
[2 4 -2 -2]
R2 = R2 - 3*R1
R3 = R3 + R1
R4 = R4 - R1
This gives us:
[2 4 -3 -6]
[1 2 3 3 ]
[0 0 -2 -8]
[0 0 1 4 ]
R3 = (-1/2) * R3
R4 = R4 - (1/2) * R3
[2 4 -3 -6]
[1 2 3 3 ]
[0 0 1 4 ]
[0 0 0 0 ]
Now, we can see that the columns with pivots (leading 1's) are the first and third columns. Therefore, a basis for the column space consists of these two columns:
Basis for column space: [2, 7, -2, 2] and [-3, -6, 1, -2]
The rank of the matrix is the number of pivot columns, which is 2.
Therefore,
(a) a basis for the column space: {[2, 7, -2, 2], [-3, -6, 1, -2]}
(b) the rank of the matrix: 2
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Помогите пожалуйста!!!
1) Решить уравнение
3-5(x+1)=6-4x
2) Разложить на множители
24a^3c-3a^2c
3) Преобразовать одночлен к стандартному виду
-4m^3n^5*5m^2n^4
Answer:
can you translate it to English ?
Step-by-step explanation:
A sixth grade class conducted a survey. They asked 40 of their friends how many of them had a pet. The survey showed that 18 of their friends had pets. What percent of their friends has a pet?
Answer:
45%
Step-by-step explanation:
18 * 100 = 1800 / 40 = 45%
(model way)
18 x x= 1800 / 40 =45 %
=
40 100
(/ = division symbol fyi)
In preparation for an Easter egg hunt,4 blue eggs are filled for every 7 green eggs. How many green eggs will be filled if 100 blue eggs were filled?
Answer:
175 green eggs
Step-by-step explanation:
The ratio of blue eggs to green eggs that are filled is 4/7
You can make a proportion:
4/7 = 100/x
x is the number of green eggs filled (x is the answer to the problem.
If you cross-multiply then it will be 700 = 4x
divide by 4 on both sides and x would equal 175.
a college professor conducted a survey in order to assess how much money nursing majors spend on course material compared to all other majors. to do so, she selected a random sample of 34 students. each student was classified as a nursing major or as a non-nursing major. they were then asked how much they spent on books and other materials required for their courses this semester. here are parallel boxplots summarizing the responses.
Option D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.
The given boxplots show the circulation of the expense obviously materials for nursing majors and non-nursing majors. From the plots, we can reason that the scope of the circulation of the expense obviously materials for nursing majors is like that of non-nursing majors, as the most extreme and least qualities are around at a similar level. We can likewise infer that the most extreme expense for non-nursing majors is more prominent than the middle expense for nursing majors.
Also, the inconstancy of the expense obviously materials for the center half of nursing majors is more noteworthy than the fluctuation of the center half for non-nursing majors, as the cases for nursing majors are more extensive. In any case, we can't reason that the middle expense obviously materials for nursing majors is more than $300 more than the middle expense obviously materials for non-nursing majors, as the medians are not straightforwardly named and their division isn't plainly shown. At last, we can see that the study included 17 nursing majors and 17 non-nursing majors.
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The complete question is:
A college professor conducted a survey in order to assess how much money nursing majors spend on course material compared to all other majors. To do so, she selected a random sample of 34 students. Each student was classified as a nursing major or as a non-nursing major. They were then asked how much they spent on books and other materials required for their courses this semester. Shown above are parallel boxplots summarizing the responses. Based upon the boxplots, which of the following statements cannot be concluded?
A. The range of the distribution of the cost of course materials for nursing majors is about the same as that of non-nursing majors.
B. The maximum cost for non-nursing majors is greater than the median cost for nursing majors.
C. The variability of the cost of course materials for the middle 50% of nursing majors is greater than the variability of the middle 50% for non-nursing majors.
D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.
E. The boxplots reveal that 17 students are nursing majors and 17 students are non-nursing majors