1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ulleksa [173]
3 years ago
12

For a-b, reduce to the least non-negative residue

Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer:

  a.  6

  b.  9

Step-by-step explanation:

a. The product modulo 7 can be found from the product of the individual numbers modulo 7:

  (88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7

  = (4·4·1·3) mod 7 = 48 mod 7 = 6

__

b. Powers of 4 mod 11 repeat with period 5:

  4 mod 11 = 4

  4^2 mod 11 = 5

  4^3 mod 11 = 9

  4^4 mod 11 = 3

  4^5 mod 11 = 1

So, 4^83 mod 11 = 4^3 mod 11 = 9

You might be interested in
The table below shows the total number of hours, Jessica, Emily, and Trina, each studied after given number of weeks. Part A one
pishuonlain [190]

Answer:Y times X = 5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider
kiruha [24]

Answer:

Part A) V(t)=-5,750t+101,250

Part B) \$55,250

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

V(t)=mt+b

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{15,000-101,250}{15-0}

m=-\$5,750\ per\ year ----> is negative because is a decreasing function

The value of b is the initial value

so

b=\$101,250

substitute

V(t)=-5,750t+101,250

Part B) The value of the bulldozer after 8 years is

For t=8 years

substitute the value of t in the linear equation

V(t)=-5,750(8)+101,250=\$55,250

4 0
2 years ago
Please show me the steps to this thank you.
irakobra [83]
Since the lines are perpendicular the opposite angle of labeled is also 60° and so would the two angles on the the lower just opposite way therefore 8x-4=60
-4 -4
8x=56
/8 /8
X=7
5 0
3 years ago
Morgan is a real estate agent and most recently made $12,500 on the sale of a home. Her commission she earns in selling homes is
ra1l [238]

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

8 0
2 years ago
5.<br>Find the sum of all two - digit natural numbers which are divisible by 3.​
kykrilka [37]

Answer:

1665

Step-by-step explanation:

This is AP, where:

  • First term is: 12= 3*4
  • Last term is: 99= 3*33
  • Common difference is: 3
  • Number of terms is: 33- 3= 30 (because the 4th term is included)
  • S=1/2*30(12+99)= 1665

The sum of all two - digit natural numbers which are divisible by 3 is 1665

3 0
3 years ago
Other questions:
  • Find the discriminant of the equation. (Show how you got your answer)<br> a. X^2 + 4x + 9 = 0
    8·1 answer
  • Assuming a truck container holds 24 cases, how many cases would 6 truck containers hold?
    11·2 answers
  • There were twelve times more children then adults at the mantinee performance of the school play. There were 455 people at the p
    9·1 answer
  • The prime factorization of a number n can be written as n=pr whose p and r are distinct primes. how many factors does n have not
    8·1 answer
  • PLEASE HELP ME WITH THIS QUESTION!!!
    11·1 answer
  • 3x+6x+4=14x-6 what Is x?
    15·1 answer
  • Tell whether 24 is a factor or multiple
    11·1 answer
  • I will give brainliest if you add details:
    9·1 answer
  • Cube-shaped shipping boxes, like the one shown, are packed into a van. They form a solid without gaps or overlaps that is 3 feet
    6·1 answer
  • Plx help me
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!