what type of rank 8 spell is granted to death students at level 58?
Answers
The Death students in Wizard101 are granted with the Scarecrow spell as their rank 8 spell at level 58.What is Scarecrow? Scarecrow is a rank 8 spell that is only granted to Death wizards. This spell deals 530-610 damage to all enemies and gives the player half of that damage back as health.
It also costs 7 pips to cast, making it a powerful spell that can help the wizard defeat multiple enemies at once. Scarecrow's damage output, as well as its healing effects, make it an excellent choice for Death wizards who are soloing the game or facing multiple enemies in a battle. Its main weakness is its high pip cost, which can make it difficult to cast in the early stages of a battle when the wizard may not have accumulated enough pips yet to cast it. Nonetheless, Scarecrow is a powerful and useful spell that can help Death wizards survive tough battles.The Scarecrow spell is not only exclusive to Death students but also a prized possession of some of the toughest bosses and enemies in the game. For example, Malistaire the Undying, one of the most difficult bosses in the game, uses Scarecrow as one of his main spells, making it an even more coveted and powerful spell for Death wizards to have in their arsenal.
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Related Questions
a high school student ecoreded 328 videos i 11 2/3 months. find the students "video" taping rate in videos per month brainly
Answers
Answer:
About 3 1/2 videos/mo
Step-by-step explanation:
11 2/3 months ÷ 328 videos = 0.03556910569
If you know this could you help me?
Answers
Answer:
Equation : y = -0.5x − 8
Step-by-step explanation:
because i grabbed two points and plugged them in im not very good at explaining but im 99% sure thats right
if zeros are reciprocal of each other then find k. (1-3k)x2 +4x-5
Answers
Answer: Let's assume that the zeros of the given quadratic equation are a and 1/a, since they are reciprocals of each other. By the sum-product relationships for zeros of a quadratic equation, we have:
a + 1/a = -b/a1 = -4/(1-3k) (where b = 4 and a1 = 1-3k)
Multiplying both sides by a1, we get:
a1(a + 1/a) = -4
Expanding the left-hand side, we get:
a1a + a1/a = -4
Multiplying both sides by a, we get:
a1a² + a1 = -4a
Substituting a1 = 1-3k, we get:
(1-3k)a² + (1-3k) = -4a
Rearranging, we get:
(1-3k)a² + 4a + (3k-1) = 0
Since a is one of the zeros of the quadratic, we know that the quadratic can be factored as:
(1-3k)(a - r)(a - s) = 0
where r and s are the other two roots of the quadratic. By expanding the left-hand side, we get:
(1-3k)(a² - (r+s)a + rs) = 0
Comparing with the expanded form of the quadratic, we see that:
r + s = -4/(1-3k)
rs = (3k-1)/(1-3k)
By Vieta's formulas, we know that rs = c/a1, where c is the constant term of the quadratic. Substituting c = -5 and a1 = 1-3k, we get:
rs = -5/(1-3k)
Equating this with the expression we obtained earlier for rs, we get:
-5/(1-3k) = (3k-1)/(1-3k)
Multiplying both sides by 1-3k and simplifying, we get:
-5 = (3k-1)(3k-2)
Expanding the right-hand side, we get:
-5 = 9k² - 15k + 2
Simplifying, we get:
9k² - 15k - 7 = 0
Using the quadratic formula, we get:
k = (15 ± sqrt(15² + 497))/18
k = (15 ± sqrt(429))/18
Therefore, the two possible values of k are:
k = (15 + sqrt(429))/18 ≈ 1.57
k = (15 - sqrt(429))/18 ≈ -0.24
Note that both of these values of k satisfy the condition that the zeros of the quadratic are reciprocals of each other.
Step-by-step explanation:
A children's song has seven notes in its first line, DDGGAAG. Assume all seven notes are held for the same length of time. If the notes are rearranged at random, how many melodies could be composed?
Answers
There are 5040 possible melodies that could be composed by rearranging the seven notes in the first line of the children's song.
The number of possible melodies that can be composed by rearranging the seven notes in the first line of the children's song can be calculated using the formula for permutations.
In a permutation, order matters and each item can only be used once. In this case, there are seven notes and each note can only be used once, so the formula for permutations is:
n! / (n - r)!
where n is the number of items and r is the number of items being selected.
In this problem, we have 7 notes, so n = 7. We want to know how many melodies can be composed, so we need to select all 7 notes, which means r = 7. Therefore, the formula becomes:
7! / (7 - 7)! = 7 x 6 x 5 x 4 x 3 x 2 x 1 / 1 = 5040
Therefore, there are 5040 possible melodies that could be composed by rearranging the seven notes in the first line of the children's song.
It is interesting to note that even though there are only seven notes, there are still a large number of possible melodies that can be composed from these notes. This highlights the importance of understanding the principles of music composition and how different melodies can be created by rearranging a set of notes.
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Solve x2 + 9x + 9 = 0. (2 points)
a
quantity of negative 9 plus or minus 3 square root of 5 all over 2
b
quantity of 9 plus or minus 3 square root of 5 all over 2
c
quantity of negative 9 plus or minus square root of 117 all over 2
d
quantity of 9 plus or minus square root of 117 all over 2
Answers
Answer:
Letter A.
Step-by-step explanation:
.........................................
The solutions to the quadratic equation are:
x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Quadratic equation x² + 9x + 9 = 0.
a = 1, b = 9 and c = 9
We can use the quadratic formula.
x = (-b ± √(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation.
Now,
Plugging in the given values.
x = (-9 ± √(9^2 - 4(1)(9))) / 2(1)
Simplifying.
x = (-9 ± √(81 - 36)) / 2
x = (-9 ± √(45)) / 2
x = (-9 ± 3√(5)) / 2
Therefore,
The solutions to the quadratic equation x^2 + 9x + 9 = 0 are:
x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2
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The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round
to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height =
ft.
Distance along the ground =
ft.
Answers
If the line formed by equation 1 is parallel to the line formed by equation 2, fill in the missing value below.
Answers
Answer:
\(y =-\frac{3}{2}x + 6\)
Step-by-step explanation:
Given
\(y = []x + 6\) --- equation 1
\(y = \frac{2}{3}x + 10\) --- equation 2
Required
Fill in the blank
A linear equation is represented as:
\(y = mx + b\)
Where m represents the slope
If (1) and (2) are perpendicular, then:
\(m_1 = -\frac{1}{m_2}\)
In \(y = \frac{2}{3}x + 10\) --- equation 2
\(m_2 = \frac{2}{3}\)
So, we have:
\(m_1 = -\frac{1}{m_2}\)
\(m_1 = -\frac{1}{2/3}\)
\(m_1 = -\frac{3}{2}\)
Hence, the complete equation is:
\(y =-\frac{3}{2}x + 6\)
A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Internet. They sort the data by payment plans, as shown below. Plan A: 27 text, 21 Internet Plan B: 13 text, 10 Internet Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.
Answers
Answer:
23 customers on payment plan B
13 customers on plan text B
Probability: 13/23
Step-by-step explanation:
Does this system have one solution, no solution, or an infinite number of
solutions? 3x+2y=7 and 27X+18y=5? PLEASE HELPP
Answers
Consider the following linear transformation and basis. T:R2→R2,T(x,y)=(x−4y,y−x),B′={(1,−2),(0,3)} Find the standard matrix A for the linear transformation. Find the transition matrix P from B′ to the standard basis B and then find its inverse. Find the matrix A′ for T relative to the basis B′. Consider the following linear transformation. T(x,y)=(−6x,6y) Find the standard matrix A for the linear transformation. Find the inverse of A. (If an answer does not exist, enter DNE in any cell of the matrix.)
Answers
The standard matrix A for the linear transformation is A = \(\begin{bmatrix} -6 & 0\\ 0 & 6 \end{bmatrix}\) and the inverse of A is A⁻¹ = \(\begin{bmatrix} -\frac{1}{6} & 0\\ 0 & \frac{1}{6} \end{bmatrix}\).
A standard matrix A is a matrix that corresponds to a linear transformation, T, with respect to the standard basis {(1, 0), (0, 1)}.In this case, the standard matrix A for the linear transformation T(x, y) = (x − 4y, y − x) is
A = \(\begin{bmatrix} 1 & -4\\ -1 & 1 \end{bmatrix}\)
The transition matrix P from B′ to the standard basis B is
P = \(\begin{bmatrix} 1 & 0\\ -2 & 3 \end{bmatrix}\)
The inverse of P is
P⁻¹ = \(\begin{bmatrix} 1 & 0\\ 2 & \frac{1}{3} \end{bmatrix}\)
The matrix A′ for T relative to the basis B′ is
A' = P⁻¹AP =
\(\begin{bmatrix} 3 & -4\\ -2 & 3 \ \end{bmatrix}\)
For the linear transformation T(x, y) = (−6x, 6y), the standard matrix A for the linear transformation is
A = \(\begin{bmatrix} -6 & 0\\ 0 & 6 \end{bmatrix}\)
The inverse of A is
A⁻¹ = \(\begin{bmatrix} -\frac{1}{6} & 0\\ 0 & \frac{1}{6} \end{bmatrix}\)
Therefore, the standard matrix A for the linear transformation is A = \(\begin{bmatrix} -6 & 0\\ 0 & 6 \end{bmatrix}\) and the inverse of A is A⁻¹ = \(\begin{bmatrix} -\frac{1}{6} & 0\\ 0 & \frac{1}{6} \end{bmatrix}\).
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is 120.4 hundredths or ones or tens or hundreds
Answers
Answer:
Not sure what you're asking but 120.4 is
one hundred
two tens
and four tenths
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. it is believed that the machine is underfilling or overfilling the bags. a 301 bag sample had a mean of 431 grams with a variance of 324 . assume the population is normally distributed. a level of significance of 0.02 will be used. specify the type of hypothesis test.
Answers
The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.
The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.
The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).
The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:
H0: μ = 433
The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:
Ha: μ ≠ 433
To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.
If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.
If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.
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Fawn, Joey, and Caleb play a board game. Fawn’s score is -28 points. Joey score is 4/7 of Fawns’s score. Caleb scores 3/4 as many points as Joey how many points do they score and all?
Answers
Answer:
Fawn's score: -28 points, Joey's score: -16 points, Caleb's score: -12 points. Total score: -56 points.
Step-by-step explanation:
Joey's score:
\(\frac{4}{7}*-28=-16\)
Caleb's score:
\(\frac{3}{4}*-16=-12\)
Total score:
\(-28 + -16+ -12 = -56\)
What’s 20-20? I’ll give brainliest who is the 1st to answer.
Answers
anaksnkskansjckcnalapnf
Answer:
20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol
an inverted conical tank full of water has a height of 10 meters and a base radius of 7 meters. how much work is required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters? round to the nearest integer. note: the weight-density of water is 9800 nm3.
Answers
the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters is 8984201 Joules.
To calculate the amount of work required to pump the water over the upper edge of the tank until the height of the water remaining in the tank is 4 meters, use the equation
Work = Force x Distance.
The force required is the weight of the water that needs to be lifted, which is calculated as follows:
Weight of Water = Volume of Water x Weight Density
Here, the Volume of Water = 1/3πr2h
Weight of Water = (1/3πr2) x (h x Weight Density) = (1/3π(7)2) x ((10 - 4) x 9800) = 1497033.52 N
Distance = Height of Water = 10 - 4 = 6 m
Work = Force x Distance = 1497033.52 x 6 = 8984201.12 Joules
Therefore, the amount of work required to pump the water is 8984201.12 Joules, rounded to the nearest integer is 8984201 Joules.
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Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set
Answers
Since the data set does not contain any extreme outliers and appears to be relatively symmetric, the mean is likely to be a better measure of the center. The correct answer is: Mean.
To determine whether the mean or the median is a better measure of the center for the given data set: 31, 28, 30, 33, 29, 32, 29, 30, we can compare their values.
First, let's calculate the mean:
Mean = (31 + 28 + 30 + 33 + 29 + 32 + 29 + 30) / 8 = 242 / 8 = 30.25
Now, let's arrange the data set in ascending order:
28, 29, 29, 30, 30, 31, 32, 33
The median is the middle value in the data set, which is 30.
In this case, both the mean and the median are close in value, with the mean being 30.25 and the median being 30. However, since the data set does not contain any extreme outliers and appears to be relatively symmetric, the mean is likely to be a better measure of the center.
Therefore, the correct answer is: Mean.
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Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 31, 28, 30, 33, 29, 32, 29, 30 Select the correct answer
Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, r, in beats per minute, can be approximated by the formulas r = 143 minus 0.65 a for women r = 165 minus 0.75 a for men, where a represents the person’s age. what would the desirable heart rate be for a 46 year old woman? a. 113 beats per minute b. 172.9 beats per minute c. 143.7 beats per minute d. 63 beats per minute
Answers
The desirable heart rate for a 46 year old women is 115.1
Expression means a number, a variable, or a combination of numbers and variables and operation symbols.
Given:
The medical researchers has found the desirable heart rate of the person through the following expression
For men the expression is
r = 165 - 0.75a
For women the expression is
r = 145 - 0.65a
Here r represents the heart rate and a represents the person's age.
Here we need to find the desirable heart rate of the 46 year old women
So, the value of a is 46,
Now we have to apply the value on the given expression in order to solve it,
So,
r = 145 - (0.65 x 46)
r = 145 - 29.9
r = 115.1
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Can someone solve this it's really urgent please thank you
Answers
Answer:
461.875 cubic cm
Step-by-step explanation:
Volume of wood in the block
= volume of cuboid - 3 times the volume of one hemisphere
\(=lbh - 3\times \frac{2}{3} \pi r^3\\= 20\times 7\times 4 - 2\times 3.14\times (2.5)^3\\= 560 - 6.28\times 15.625\\= 560 - 98.125\\= 461.875 \: cm^3\)
A line with a slope of 3/4 passes through (-2,-3). Write the equation of the line in general form.
Answers
Step-by-step explanation:
Disclaimer: By general form, I will assume that the problem would like us to write the answer in Slope-Intercept Form.
We know that slope-intercept form is y=mx+b. m = the slope, and b = the point where the line hits the y-axis on the graph (the y-intercept).
The slope is given (3/4), which we can plug into our equation. Now we have y=3/4x + b.
Now we can see that the line passes through (-2,-3). Let's plug in those coordinates into our equation. Remember! All coordinates are written in (x,y), meaning that x = -2 and y = -3. "B" is the missing variable that we need to solve for. Time to substitute!
-3 = (3/4 x -3) + b
-3 = -9/4 + b
b=-3/4.
Now that we know B, let's rewrite our equation and get our answer!
y = 3/4x - 3/4
Four steel marbles with masses of 100 grams,85 grams, 55 grams, and 20 grams are lined up on the same surface. All marbles are struck with the same amount of force in the same direction. Which marble will accelerate the most?
Answers
Answer:
The answer is 20 gram marble
Step-by-step explanation:
the diagram below of triangle OPQ, R is the midpoint of OQ and S is the
point of PQ. If RS =-3x+38,
and OP = 4x -14, what is the mea
52
Answers
The measurement of the angle OP is 39
How to find the measure of OP?The given parameters that will help us to answer the question are
R is mid point of OQ
S is mid point of PQ
RS = 3x + 38
OP = 4x- 14
R is mid point of OQ and S is mid point of PQ;
By using mid point theorem
[1/2][OP] = RS
This implies that So,
[1/2][3x + 38] = [4x- 14]
[3x+38] = 2[4x- 14]
Opening the brackets we have
3x+38=8x-28
Collecting like terms
3x-8x=-28-38
-5x=-66
Making x the subject of the relation we have
x = -66 / -5
x = 13.2
Therefore RS = 3(13.2) + 38 = -11.4
OP = 4(13.2)- 14=38.8
Measurement of OP = 39 approximately
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jackie used to be on the phone 3 1/2 times as much as her brother. Her parents threatened to take away the phone, so she cut down to 2/5 of the time she used to be on the phone. How many times as much as her brother is jackie now on the phone?
Answers
The number of times as much as her brother is Jackie now on the phone is 1 2/5 times.
How to calculate the fraction?From the information, Jackie used to be on the phone 3 1/2 times as much as her brother and her parents threatened to take away the phone, so she cut down to 2/5 of the time she used to be on the phone.
Therefore, the times that she's using as much as her brother will be:
= Original times × Fraction cut
= 3 1/2 × 2/5
= 7/2 × 2/5
= 7/5
= 1 2/5 times.
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Find missing dimension
Answers
On solving this provided question of the pentagon figure the value of the missing area will be as follow y = -9x +10
what is a pentagon?A pentagon is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles. The polygon's exterior angle total is therefore equal to n(360°/n). There are five sides to a pentagon, therefore n must equal five. Consequently, 5(360°/5) = 360° is the sum of the pentagon's outer angles.
perimeter of the pentagon = sum of all sides
27x - 18 = 2x+ 4x-6+5x+2+7x-8 + y
y = 2x+ 4x-6+5x+2+7x-8 -27x + 18
y = -9x +10
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-\dfrac{16}{5},8,-20,− 5 16 ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
Answers
Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
What is the greatest common factor of 27 and 36?
Answers
Answer:
9!
Step-by-step explanation:
Answer: 9
Step-by-step explanation:So you look at whatever can be multiplied to get 27 or 36. When you do that 9 is your biggest number
Show how to find the amount of interest and the total amount that Nora will have to pay after 1 year
Answers
Answer:
bro so i dont have an answer but i'm on the same thing rn lol
Step-by-step explanation:
evaluate the integral by reversing the order of integration. 4 0 12 5ex2 dx dy 3y
Answers
To reverse the order of integration, we need to rewrite the limits of integration in terms of the other variable.
The value of the given integral by reversing the order of integration is (5/12)(\(e^{24}\) - 1).
The given integral is ∫∫ \(5e^{(2x)}\) dx dy, where the limits of x are from 0 to 4 and the limits of y are from 0 to 3y.
To integrate with respect to y first, we need to express the limits of y in terms of x.
From the limits of y given, we have 0 ≤ y ≤ 3y, which simplifies to 0 ≤ y.
Now we need to find the upper limit of y. To do this, we set the expression for the upper limit equal to the constant 12, which is the upper limit of x.
So we have 3y = 12, which gives y = 4.
Thus, the limits of integration become ∫∫ \(5e^{(2x)}\) dy dx, where the limits of y are from 0 to 4 and the limits of x are from 0 to 3y.
Now we can integrate with respect to y:
∫∫ \(5e^{(2x)}\) dy dx = ∫ 0^4 ∫ 0^(3y) \(\int\limits^4_0 \int\limits^{(3y)}_0 5e^{(2x)} dx dy\)
= \(\int\limits^4_0 [5/2 e^{(2x)}]_0^{(3y)} dy\)
= \(\int\limits^4_0 [5/2 (e^{(6y)} - 1)] dy\)
= \([5/12 (e^{(6y)} - 1)]_0^4\)
= \((5/12)(e^{24} - 1)\)
Note that the order of integration can be reversed if the integrand is continuous on a rectangular region that contains the original region of integration.
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A single die is rolled twice. Find the probability of rolling an evem number the first time and a number greater than 4 the second time
Answers
The probability of rolling an even number the first time is 1/2 and a number greater than 4 the second time is 1/6.
To calculate this probability, we will first determine the probability of each individual event and then multiply them together, as these events are independent.
1. Find the probability of rolling an even number on the first roll:
There are 3 even numbers on a die (2, 4, and 6). Since there are 6 possible outcomes when rolling a die, the probability of rolling an even number is 3/6, which simplifies to 1/2.
2. Find the probability of rolling a number greater than 4 on the second roll:
There are 2 numbers greater than 4 on a die (5 and 6). With 6 possible outcomes, the probability of rolling a number greater than 4 is 2/6, which simplifies to 1/3.
3. Multiply the probabilities of the two independent events:
To find the probability of both events happening, we multiply their individual probabilities: (1/2) x (1/3) = 1/6.
So, the probability of rolling an even number the first time and a number greater than 4 the second time is 1/6.
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Using mathematical induction, prove that the number 22" – 3n - 1 is divisible by 9, for n = 1, 2, .....
Answers
The number 22^n - 3n - 1 is divisible by 9 for all positive integers n. This expression is divisible by 9, the sum of its digits is divisible by 9.
To prove that the number 22^n - 3n - 1 is divisible by 9 for all positive integers n, we will use mathematical induction.
Step 1: Base Case
For n = 1, we have 22^1 - 3(1) - 1 = 22 - 3 - 1 = 18, which is divisible by 9 since 18/9 = 2 is an integer.
Step 2: Inductive Hypothesis
Assume that for some positive integer k, the number 22^k - 3k - 1 is divisible by 9.
Step 3: Inductive Step
We need to show that if the statement holds for k, then it also holds for k + 1.
Consider the expression for n = k + 1:
22^(k+1) - 3(k+1) - 1
Expanding the exponent using the property a^(m+n) = a^m * a^n:
(22^k * 22) - 3k - 3 - 1
Using the inductive hypothesis, we can substitute 22^k - 3k - 1 with a multiple of 9:
(9m) * 22 - 3k - 3 - 1, where m is an integer
Simplifying the expression:
198m - 3k - 4
To prove that this expression is divisible by 9, we need to show that the sum of its digits is divisible by 9. Let's consider the individual digits:
198m - 3k - 4 = (100m + 90m + 8m) - (3k + 1 + 3) = (100m - 3k) + (90m - 2) + (8m - 1)
Since 100m - 3k, 90m - 2, and 8m - 1 are multiples of 9 (due to the inductive hypothesis and the fact that m and k are integers), their sum is also divisible by 9.
Therefore, by mathematical induction, we have shown that the number 22^n - 3n - 1 is divisible by 9 for all positive integers n.
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which expression is not equivalent to the other three
2x+2+ + 3× -8
4 + 7× - 2
-2 + 5× + 2× - 4
8× - × - 6
Answers
Answer:
-2+5x+2x-4
Step-by-step explanation: