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Explanation:
Note that 2^4 = 16 is one less than 17.
Because of this nature of being 1 less, we can say the remainder of 16/17 is -1 because it comes up one short.
In terms of modular arithmetic, we can say,
[tex]2^4 \equiv 16 \ (\text{mod } 17)\\\\2^4 \ \equiv -1 (\text{mod } 17)\\\\[/tex]
Then let's raise both sides to the 20th power. I'm picking 20 because 20*4 = 80 which will help build toward 81
[tex]2^4 \equiv -1 \ (\text{mod } 17)\\\\\left(2^4\right)^{20} \equiv (-1)^{20} \ (\text{mod } 17)\\\\2^{20*4} \equiv 1 \ (\text{mod } 17)\\\\2^{80} \equiv 1 \ (\text{mod } 17)\\\\[/tex]
Lastly, we'll multiply both sides by 2 to get to the final answer
[tex]2^{80} \equiv 1 \ (\text{mod } 17)\\\\2*2^{80} \equiv 2*1 \ (\text{mod } 17)\\\\2^{1}*2^{80} \equiv 2 \ (\text{mod } 17)\\\\2^{1+80} \equiv 2 \ (\text{mod } 17)\\\\2^{81} \equiv 2 \ (\text{mod } 17)\\\\[/tex]
So if we were to divide 2^81 over 17, then we get some quotient and a remainder of 2
HELP A CHICKEN NUGGET OUT!
What is the value of x−9? 14x−(x+2)=−14 Enter your answer in the box. x−9=
What is the name of the property used when multiplying polynomials?
Answer:
the distributive property
Step-by-step explanation:
it allows us to multiply each term of the first polynomial by each term of the second
PLS mark Brianliest
An employee put $4,000.00 in a retirement account that offers 6.2% interest compound annually. The employee makes no additional deposits or withdrawls. Which amount is closest to the interest the employee will have earned at the end of 10 years?
Answer:
567,90-
Step-by-step explanation:
67+38$gus (*56+070)86*(0-568)(&657890
You want to buy a $35,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly payments be?
[tex]\bigstar\boxed{\large\bf\purple{\leadsto \$3150}}[/tex]
__________________________________________
[tex]\large\sf{\underline{Given:}}[/tex]
➠ Principal = $ 35000➠ Rate of interest = 3%➠ Time = 3 yrs (36 months)[tex]\large\sf{\underline{Therefore:}}[/tex]
[tex]\sf{Simple\: interest = \left(\dfrac{P\times R\times T}{100}\right)}[/tex]
[tex]\sf{\longrightarrow \left(\dfrac{35000\times 3\times 3}{100}\right)}[/tex]
[tex]\sf{\longrightarrow \cancel{\dfrac{315000}{100}}}[/tex]
[tex]\sf{\longrightarrow 3150}[/tex]
[tex]\large\sf{\underline{Your\: monthly\: payments\:will\:be\:\$3150}}[/tex]
Answer:
Monthly Payment will be $3150
Step-by-step explanation:
Given :-
Principal :- $35000Interest rate :- 3%Time period :- 3 yearsTo find :-
Monthly PaymentSolution :-
Simple Interest :- P × R × T / 100
putting the known values ,
Simple Interest :- 35000×3×3/100
Therefore, Monthly Payment :- $3150
Tia went to the Farmers
Market and bought 6
pineapples for $3.49
each. How much money did
Tia spend?
Answer:
20.94$
Step-by-step explanation:
3.49x6 since Tia bought 6 pineapples and they cost 3.49 each and it equals 20.94$. So to buy 6 pineapples at the farmers market it cost 20.94$.
PLEASE HELP DUE IN 20
I HOPE IT WILL HELP YOU.
Thank you.
TEDDYLOVER ^ - ^
Write the recursive and explicit formula for the following sequence: -3, -1, 1, 3, …
It would be +2 so -3+2=-1, -1+2=1, 1+2=3
As part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of its plant and the offshore waters. How many sample measurements must be taken at each site to estimate the true difference between means to within .2°C with 95% confidence? Assume that the standard deviation in readings is about 1.5°C at each site and the same number of readings will be taken at each site.
Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
A similar problem is given at https://brainly.com/question/17039768
please help i dont understand this
Answer:
I would try cymath
I can't solve this so I would use cymath or copy and paste your answer to go 0gle and you might find another brainly question with this
you and your freind are going on a camping trip.you each buy a backpackthat cost $90 and a sleeping bag that costs $60.what is the total cost of the camping eqiptment?
Answer:
$300
Step-by-step explanation:
90 x 2 = 180
60 x 2 = 120
120 + 180 = 300
A serving size in a party pack of M&Ms is
32 pieces of candy. If the bag contains
38.2 serving sizes of candy, how many
M&Ms are in the party size bag? .
Answer:
38.2×32=1222.4
-----------------------
.........................
Step-by-step explanation:
→ (1.2*(10^57)) + 1.2*(10^56) → 1.32e+57→ 1.32 × 10^57 1.(drag) → 1.32 and 2. (drag) → 57» 1.32e+57
What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form
Answer:
y = 2x - 1
Step-by-step explanation:
To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -1)
(x2, y2) = (3, 5)
Substitute these values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]
Therefore, the slope (m) = 2.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept. Hence, the y-intercept (b) = -1.
Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:
y = 2x - 1
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
Martina runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2 and a half mile
Step-by-step explanation:
As she runs three miles in 25 minutes so she can run 2 and a half miles in 20 minutes because she needs five minutes to complete the third mile
HELPPPPPPP PLSSS!!!!!!!!!!!!!!!!!!!
A bird flies down 0 feet and then up 55 feet.
Answer:
ok?
Step-by-step explanation:
Gregory has a credit card with a 30-day billing cycle and an APR of 11.95%. The following table shows Gregory’s credit card transactions for the month of April.
Date
Amount ($)
Transaction
4/1
622.82
Beginning balance
4/4
45.45
Payment
4/10
78.91
Purchase
4/25
16.36
Purchase
Between the adjusted balance method and the daily balance method, which method of computing Gregory’s April finance charge will result in a greater finance charge, and how much greater will it be?
a.
The daily balance method will have a finance charge $0.09 greater than the adjusted balance method.
b.
The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.
c.
The adjusted balance method will have a finance charge $1.40 greater than the daily balance method.
d.
The adjusted balance method will have a finance charge $0.86 greater than the daily balance method.
Answer:
✅B. The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.i got it right on test⬇️
help-
i dont remember how to do this or what the answer would be
Answer:
I'm no 100% sure but,
A triangle is 360⁰
So 65 +47 =112
180-112=68
two opposite angles are always equall so
x=68⁰
Sorry if I'm wrong!
Write an equation for the description.
Hector is visiting a cousin who lives 300 miles away. He has driven 95 miles. How many more miles does
he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
Doreen uses 13 apples for every 2 pies she bakes. How many will she use for 12 pies
Answer:bbbbb
Step-by-step explanation:
sssđs
Given : 13 apples for every 2 pies
We know that : 12 = 2 × 6
Therefore, the number of apples will be 13 × 6 = 78
So, the answer is 78
A circle is placed in a square with a side length of 18cm, as shown below. Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
92658
Step-by-step explanation:
jdbshe hzvx
nxgsbdxyxbhxgx6666
You need $3,000 to buy a new stereo for your car. If you have $1,200 to invest at
6% compounded annually, how long will you have to wait to buy the stereo?
Answer:
15 years and 8 months
Step-by-step explanation:
I used the formula for compound interest as shown below and solved for the unknown, time.
Since our interest is compounded annually (So once a year) our m value is 1.
Answer if you want, 10 points
Can you give me some example of ratios and the steps of them, include answer, and a easy strategy please
Answer:
hi
Step-by-step explanation:
for example
[tex] \frac{8}{4} = 2 \\ \\ 1 \times \frac{4}{5} = \frac{9}{5} [/tex]
in the second one you should multiple 5 and 1 then add 4
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each for birthday cards, what is the range of money he can spend on each gift? Write and solve an inequality.
The inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each on birthday cards.
Let's suppose the number of birthday cards is x and the cost of each gift is y.
Then the total cost for birthday cards = 2.50x
Total budget = $50
Total expense = 2.50x + 2y
2.50x + 2y ≤ 50
The above inequality represents the situation.
In the graph, the range of the solutions is shown.
Thus, the inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given :
[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]
[tex]g(x) = 4x - 5[/tex]
let's solve for f(x) × g(x) :
[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]
[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]
[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]
therefore, correct choice is : D
A.answer the following:
1.what is the common ratio of the following G.P.
a.4,3,9/4..... c.-10,-2,-2/5,-2/27
b.1,-6,36...... d.0.03,0.3,3...
2.find the missing term 120,60,30,__ , __
3.given the G.P.5,10,20......what is the 10th term?
Answer:
30
Step-by-step explanation:
took test
What is an equivalent expression for 6x6x3x3x3x3
please help teacher mean
One of the cutting machines is shut down for repairs. How many parts can the remaining machines cut in 4 1/2 hours?
Answer:
the answer is sike not telling you
Step-by-step explanation:
Given Number A = -2 and Number B = -1 1. What is the abolsute Value of A 2. What is the absolute Value of B
Answer:
answer A= 2 answer b = 11
Step-by-step explanation:
my teachers said cancel out the negatives