If m and n are whole numbers such that m^n = 121, then find the value of (m-1)^n+1.
Answers
Because m and n are whole numbers, we only have 3 values for m, and 3 values for n :
[tex]1^{121} ; 11^{11} ;121^{1}[/tex] (or you can say because 121 only have the factors of 1 ; 11 ; 121, those are the only possible values for m and n, then conclude the possible values)
Now, we will substitute them in :
If m = 1 ; n = 121
[tex](1-1)^{121+1}[/tex] = 0
If m = 11 ; n = 11
[tex](11-1)^{11+1}[/tex] = 1000000000000
If m = 121 ; n = 1
[tex](121-1)^{1+1}[/tex] = 14400
Related Questions
6
x
y
2
(
13
x
5
y
2
)
6xy
2
(13x
5
y
2
)
Answers
Answer:
(2 x 3 x [tex]13x^6[/tex][tex]Y^{4[/tex])
Step-by-step explanation:
HELP I TOTALLY FORGOT HOW TO DO THISS
Answers
Answer:
13
Step-by-step explanation:
First you would create a ratio.
Convert 3 1/4 gallons in a decimal -> 3.25 gallons
If 1 gallon = 4 quarts, then
[tex]\frac{3.25}{1} =\frac{x}{4}[/tex]
Now, solve for x via cross multiplying
[tex]x=13[/tex]
and sidenote ripp iready i feel your pain
ANSWER PLS<3 :)))
25 points each!!
see photo below v
Answers
Answer:
the answer is b
Step-by-step explanation:
it makes the most sense
option D is correct.
Explanation:
[tex]\rightarrow \sf f(x) = 2x-9[/tex]
To find inverse, make x the subject
[tex]\rightarrow \sf f(x)+9 = 2x[/tex]
[tex]\rightarrow \sf x = \dfrac{ f(x)+9}{2}[/tex]
So the inverse is:
[tex]\rightarrow \sf g(x) = \dfrac{ x+9}{2}[/tex]
Rest all options are incorrect and is not inverse of each other.
Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 7 meters? Enter the answer in the box.
inches
Answers
Answer:
276
Step-by-step explanation:
275.59 is if its not rounded. you round up since its over .5, so it rounds to 276. hope this helps!
While on a business trip to Millersburg, Camilla treated her co-workers to a meal that cost $300. Camilla knew that when the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, how much did Camilla's meal cost?
Answers
When the bill came, she would need to pay Millersburg sales tax of 8% and would want to leave a 15% tip on the original $300. Including tax and tip, Camilla's meal cost $369.
Given that,
Original Meal Cost: $300
Sales Tax: 8% of the original meal cost
Tip: 15% of the original meal cost
Total Cost: Sum of the original meal cost, sales tax, and tip
Original Meal Cost = $300
Sales Tax = 8% of $300 = 0.08 * $300 = $24
Tip = 15% of $300 = 0.15 * $300 = $45
Total Cost = Original Meal Cost + Sales Tax + Tip
Total Cost = $300 + $24 + $45 = $369
Including tax and tip, Camilla's meal cost $369.
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The cost of living in Seattle increases by 1.2% every year. If Noah spends $41,000 this year, how
much can he expect to spend 4 years from now to maintain the same standard of living? Roun
to the nearest dollar.
Answers
PLS HELP!! No links pls and Ty <333
Lee is baking a pie. The radius of the pie is 2 inches.
What is the circumference of the pie (use 3.14 for pi and round to the
nearest tenth)?
Answers
Answer:
12.6
Step-by-step explanation:
well the true answer is 12.56, i might of rounded wrong lol
Kenishas dog ate 15/20 of a bag of dog food last week.What is 15/20 in simplest form?
Answers
Answer:
15/20 in simplest form is 3/4
Step-by-step explanation:
15/20 in simplest form is 3/4 cause if you divide 15 by 5 you get 3 and if you divide 20 by 5 you get 4
The simplest form of the given fraction 15/20 is 3/4.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, Kenisha's dog ate 15/20 of a bag of dog food last week.
The simplest form is the smallest possible equivalent fraction of the number.
Here, simplest form of 15/20
Divide both the numerator and denominator by 5, we get
15÷5/20÷5 = 3/4
Therefore, the simplest form of the fraction is 3/4.
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lf Jackie earns $312.00 after working 24 hours what is the hourly rate?
Answers
Answer:
312 divided by 24 = 13.
So the hourly rate is 13/hour
Answer:
$13.00. To find the hourly rate you need to divide the total amount Jackie earned by the amount of hours she worked in total. When you divide 312 by 24 you will get 13, therefore Jackie makes a total of $13.00 per hour.
The perimeter of a triangle is 42 yards. The first side is 5 yards
shorter than the second side, and the third side is 2 yards shorter
than the first side. What is the length of each side?
RSM QUESTION PLS SHOW WORK THANKS
Answers
Answer:The length of the third side is a-2.
Step-by-step explanation:
Is it possible for a sixth degree polynomial function with integer coefficients to have no real zeroes? Choose all that apply: Yes No
Answers
Using the Factor Theorem, it is found that yes, it is possible for a sixth degree polynomial function with integer coefficients to have no real zeroes, as they can have three complex-conjugate pairs.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
If a complex number is a root of a function, it's conjugate will also be a root. Thus, with three pairs of complex-conjugate roots, for example, [tex]\pm i, \pm 2i, \pm 3i[/tex], a sixth degree function with no real zeros is formed, so the answer is Yes.
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Melina performs an experiment in which she pulls a marble out of a bag, records its color, puts it back, and repeats. After completing 24 trials, she pulled a yellow marble 3 times.
What is the experimental probability of pulling a yellow marble from the bag?
Enter your answer as a fraction, like this: 42/53
Answers
Answer:
3/24 or 1/8 (either one)
Answer: 3/24
Step-by-step explanation:
Distributive Property to find (z-5)(z+3)
Answers
Answer:
z×(-5+3)then you complete the sum and that is your answer
Step-by-step explanation:
hope it helps you
Use the information in the two-way table to complete the statement. the probability that a person has a positive rh factor given that he/she has type o blood is percent. there is a greater probability for a person to have a than a person to have a positive rh factor given type o blood.
Answers
The probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
The missing two-way table for this problem is given below:
[tex]\begin{array}{cccccc}&A&B&AB&O&\rm Total\\\text{Negative}&0.07&0.02&0.01&0.08&0.18\\\text{Positive}{&0.33&0.09&0.03&0.37&0.82\\\rm Total & 0.40&0.11&0.04&0.45&1 \end{array}[/tex]
Instead of frequencies, it contains ratio of frequency to total count of people surveyed (thus, relative frequency).
We want the probability that a person has a positive rh factor given that he/she has type O blood.
If we take:
E = event that a random person chosen has a positive rh factor
and F = event that a random person chosen has type O blood
Then, the needed probability is written symbolically as:
P(E|F).
Using the considered two-way table and the chain rule, we get this probability as:
[tex]P(E|F) = \dfrac{P(E \cap F)}{P(F)} = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)}[/tex]
Since the two way table consists relative frequency with total count, so, we get:
[tex]n(E \cap F)/n(Total) = 0.37\\n(F)/n(Total) = 0.45[/tex]
[tex]P(E|F) = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)} = \dfrac{0.37}{0.45} \approx 0.822 = 82.2\%[/tex]
Thus, the probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %
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Answer:
The answers will be
The probability that a person has a positive Rh factor given that he/she has type O blood is 82 percent.There is a greater probability for a person to have a positive Rh factor given type A blood than a person to have a positive Rh factor given type O blood.
Step-by-step explanation:
Hope this help!
A large food distributor claims that 45% of all individuals who purchase eggs from its grocery stores choose standard white eggs, 25% choose standard brown eggs, 20% choose organic eggs, and 10% choose free-range eggs. To investigate this claim, researchers collected data from a random sample of the distributor's customers in a large city. The results were 274 white, 159 brown, 126 organic, and 41 free-range egg purchases. Are the data from the sample consistent with the distributor's claim? Conduct an appropriate statistical test at the 5% significance level to support your conclusion. Make sure to include parameters, check conditions, and show calculations before formulating a conclusion.
Answers
The statistical test at the 5% significance level shows that we fail to reject the null hypothesis.
How to compute the statistical test?From the information given, the level of significance is 0.05 and n is 600. The degree of freedom will be:
= 4 - 1 = 3
The test statistic will be:
= ∑(O - E)²/E
= 6.92
The critical value is also given as 7.815 from the table. Since the test statistic is lesser than the critical value, we fail to reject the null hypothesis.
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Is 70% of 18 >, <, or = to 80% of 70?
Answers
Answer:
70% of 18 < to 80% of 70
Step-by-step explanation:
70% of 18 is 12.6, and 80% of 70 is 56. So 12.6 < 56.
To get the calculations I did .70 x 18 and then .80 x 70
3(x + 5) = 18
what is x
Answers
Step-by-step explanation:
3x + 3 × 5 = 18
3x + 15 = 18
3x = 18 - 15
3x = 3
x = 3/3
x = 1
Solve the following:
2x+15=35
Answers
Answer:
x = 10Step-by-step explanation:
Given
2x + 15 = 35#1) Subtract 15 from each side.
2x + 15 - 15 = 35 - 152x = 20#2) Divide 2 from each side.
2x/2 = 20/2x = 10Which side of the original parallelogram corresponds to the y-centimeter side of the enlarged parallelogram? Explain how you know.
A small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. A larger parallelogram has a left side length of x centimeters and top side length of y centimeters.
Not drawn to scale
The ____-centimeter side corresponds to the y-centimeter side.
10 cm because both are the shorter sides of the parallelogram
10 cm because both are the longer sides of the parallelogram
15 cm because both are the shorter sides of the parallelogram
15 cm because both are the longer sides of the parallelogram
Answers
Answer:
A
Step-by-step explanation:
Because A small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. A larger parallelogram has a left side length of x centimeters and the top side length of y centimeters.
Read the sentence.
"I've asked you a million times to please close the back door, said Jade's mother.
Which figure of speech is used in this sentence?
hyperbole
metaphor
personification
simile
Answers
Answer:
A. Hyperbole
Step-by-step explanation:
"I've asked you a million times to please close the back door," said Jade's mother.
A million times is the exaggerated phrase in the sentence. Jade's mother did not really ask her that a million times, but it is used in this sentence as a way to show the reader that she said it a lot.
Hope this helps! : )
What is Limit of StartFraction StartRoot x + 4 EndRoot minus 3 Over x minus 5 EndFraction as x approaches 5?
Negative one-sixth
0
One-sixth
DNE
Answers
I assume the limit you're asked to copmute is supposed to be
[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5}[/tex]
Rationalize the numerator by multiplying it by its conjugate:
[tex]\dfrac{\sqrt{x+4}-3}{x-5} \times \dfrac{\sqrt{x+4}+3}{\sqrt{x+4}+3} = \dfrac{\left(\sqrt{x+4}\right)^2-3^2}{(x-5) \left(\sqrt{x+4}+3\right)} = \dfrac{x-5}{(x-5) \left(\sqrt{x+4}+3\right)}[/tex]
Since x is approaching 5, we have x ≠ 5 and can cancel the factors of x - 5 to remove the discontinuity.
Then
[tex]\displaystyle \lim_{x\to5} \frac{\sqrt{x+4}-3}{x-5} = \lim_{x\to5} \frac1{\sqrt{x+4}+3} = \frac1{\sqrt9+3} = \boxed{\frac16}[/tex]
because the simplified limand is continuous at x = 5.
Answer:
it is C. 1/6th
Step-by-step explanation:
help solve the problem
Answers
Answer:
$3.15
Step-by-step explanation:
1 dryer: 500 W
6 dryers: 6 × 500 W = 3000 W × (1 kW / 1000 W) = 3 kW
Running 6 dryers for 1 hour: 3 kW × $0.15 kWh = $0.45
Running 6 dryers for 7 hours: $0.45 × 7 = $3.15
462,453,444 find 30th term
Answers
Answer:
a₃₀ = 201
Step-by-step explanation:
there is a common difference between consecutive terms , that is
453 - 462 = 444 - 453 = - 9
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 462 and d = - 9 , then
a₃₀ = 462 + (29 × - 9 ) = 462 - 261 = 201
The volume of a number cube is 27 cm^3. What is the length of each side of a cube?
Answers
Lets see
Volume of a cube=side³ATQ
side³=27side=³√27side=3cmAnswer:
a = 3 cm
Step-by-step explanation:
The length of each side of a cube is 3 cm.
(Refer to the attachment)
i would be so happy if someone can help me, thank you !
Answers
Answer:
How r u doing today? i needed friends
so,Hi,
What is the radius of a circle whose equation is x2 y2 8x−6y 21=0? 2 units 3 units 4 units 5 units
Answers
The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² + 8x − 6y + 21 = 0
The equation can be written as
x² + 8x + 16 + y² − 6y 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer: ^ TDLR : 2 units / A
Step-by-step explanation:
edge 2023 x3
What angle looks like congruent to angle A
Answers
Answer:
-------------------------
Step-by-step explanation:
the angles 5 and 8 are also congruent to A.
please tell me the answer please
Answers
Because:
1/10 = 100/1000 (if you can the zeroes you’ll get the same answer)
The best way to do this is to use the butterfly method. Assume the ? = x
[tex]\frac{1}{10} = \frac{x}{1,000} \\10x = 1,000\\x = 100[/tex]
Thus, the question mark would be 100
Hope this helped! :)
solve for w and y
w=
y=
Answers
Answer:
it is w45 y 10
Step-by-step explanation:
If a circle has a circumference of 94.2cm, determine the area
Answers
Explanation:
To find the area of a circle we can use the formula pi times the radius squared.
Since we don’t know the radius that is what we must find. To find the radius of a circle from the circumference you divide the circumference by pi. So 94.2 divided by 3.14 gives use 30. Then we take 30 and divide by 2.
30/2 = 15
So the radius of our circle is 15cm
To find the area we take our radius and square it 15^2 which is just another way of saying 15 x 15
Which equals 225. Then we take 225 and multiply it by pi.
225 x 3.14 = 706.5
So the area of the circle is 706.5cm^3