There are 10 integers that satisfy 0 < a < 100.
What are integers?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
Here, we have
Given: When working modulo m, the notation a⁻¹ is used to denote the residue b for which ab = 1 (mod m), if any exists.
We have to find integers that satisfy 0 < a < 100.
a(a − 1)⁻¹ ≡ 4a⁻¹ (mod 20)
a ≡ 4a⁻¹(a − 1)(mod 20)
a² ≡ 4(a-1)(mod 20)
a² - 4a + 4 ≡ 0(mod 20)
(a - 2)² ≡ 0(mod 20)
a = 2 + 10n | for n = (0, 1, 2, 3.....9)
Hence, there are 10 integers that satisfy 0 < a < 100.
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Directions: Find each value or measure. Assume that segments that appear to be tangent are tangent
Answer:
x = 7, x = 5
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord.
(1)
27x = 9 × 21 = 189 ( divide both sides by 27 )
x = 7
(2)
12(3x - 5) = 120 ( divide both sides by 12 )
3x - 5 = 10 ( add 5 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
what is the value of x + y for the system of equations?
y = 2/3x - 9
y= 8 - 2x
Answer:
I got decimals when I graphed but I got (6.25,-4.75)
Step-by-step explanation:
I made a graph and placed the 2 equations in and marked where they intercepted which is (6.25,-4.75)
The circumference of a circle is 125.6 millimeters. What is the circle's radius?
Answer:
20 millimeters.
Step-by-step explanation:
To find the radius of a circle with circumference, you must divide the circumference by pi (3.14).
After dividing the circumference by pi, you now have the diameter of the circle.
Secondly, to get the radius, divide the quotient (the diameter) by 2.
The quotient is the radius of the circle.
----------------------------------------------------------------------------------------------------------------
Now, I will repeat these steps using the circumference of 125.6 millimeters.
125.6 ÷ 3.14 = 40.
40 ÷ 2 = 20.
Therefore, 20 millimeters is the radius of this circle.
The circle's radius is mathematically given as
r=20
What is the circle's radius?Question Parameter(s):
The circumference of a circle is 125.6 millimeters.
Generally, the equation for the circumference is mathematically given as
C=2\pi r
Therefore
C=2 *3.14*r
125.6=2 *3.14*r
r=20
In conclusion, The raduis
r=20
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Use algebra tiles to solve 2x + 1 = 9 on IXL
Answer: 4
Step-by-step explanation:
1. Question: 2x+1=9
2. Subtract 1 from the 9
Answer to step 2: 2x=8
3. Divide 8/2 (4x2)
4. Answer: x=4
Answer: X= 4; look below for the explanation of algebra tiles
Step-by-step explanation: First, we need to determine the value of x. We can use the rule of inverse operations. So, the opposite of addition is subtraction, and the opposite of multiplication is division. Now, using that, we start with the inverse operations of 1 + 9. That'd be 9 - 1. So, that's 8. Now, according to the order of inverse operations, we divide the 2 by 8. So, 8 divided by 2 is 4. Therefore x = 4.
Now, using the tiles, we need to get 8 tiles, + 1 tile, which should get you your answer. I hope this helped!
1/4(12x-20)+3(3x+5) I'm extremally confused I'm supposed to simplify
Answer:
12X+10
Step-by-step explanation:
THAT IS THE SIMPLFY 1-4 x (12x-20)+3(3x+5) Facout our 4 from the expression 1-4 x4 (3x-5)+3(3x+5) Simply the expression cancel out the greatest common factor 4 remove unncessary parntheses if so collect the terms 3x 9x 12x and the solutin is 12x+10
What is the first step to do in using substitution method?
Answer: Solve one equation for one of the variables.
Step-by-step explanation:
What is the volume of a cylinder with a radius of 30 cm and a height of 15 cm PLEASE IM BEGGING PLEASE HELP
Answer:
We need to find the area of the base/circle then multiply it by the height so if you know the formula area of a circle your good to go.
30^2 = 900
900 x 3.14 =2,826
Now lets multiply the base's area/circle by the height!
2,826 x 15 = 42,390 cm^3(cm cubed) is your answer.
Can some help me with my delta math assignment I need help I’m failing this class bad and the school is almost over lol.
Answer:
SURFACE ARE: 1068.14
Lateral surface area: 439.82
Step-by-step explanation:
A=2πrh+2πd=2×π×10×7+2×π×1000=1068.14
Al= 2drh=2×π×10×7≈439.82
HELP ILL GIVE BRAINLIEST!!!
dividing mixed numbers^^
Answer:
1) 1[tex]\frac{59}{70}[/tex]
2)[tex]1\frac{7}{44}[/tex]
3)[tex]\frac{22}{25}[/tex]
4)[tex]2\frac{4}{33}[/tex]
5)[tex]\frac{38}{45}[/tex]
6) [tex]\frac{80}{141}[/tex]
9) Which point is a solution to the equation 3x + 2y = 9?
A. (0,4) B. (4,0) C. (1,3) D. (3, 1)
Answer:
c. (1, 3)
Step-by-step explanation:
The coordinates that best suite the equation, given it the answer.
Find the circumstances
Answer:
15π = 47.12
Step-by-step explanation:
C = pi(diameter)
C= 15π
Answer:
Solution given:
diameter [d]=15m
circumference =?
we have
circumference of circle =πd=π×15=15π or 47.12m
18+x=27
please answer soon:)
Answer:
x = 9
Step-by-step explanation:
18 + x = 27
x = 27 - 18
x = 9
Find the derivative.
y = x tanh^-1(x) + ln (√( 1 −x2))
The answer is:
- 1 < x < 1
I hope this is correct
PLEASE HELP Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?
The expression determines the quantity of water leaving the tank per hour is (18 1/2 gallons)/(4 1/4 hours)
How to find which expression determines the quantity of water leaving the tank per hour?
Rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, rate is one quantity divided by the other quantity.
If a total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. We can write that the rate as follows:
rate = (18 1/2 gallons)/(4 1/4 hours)
rate = 4 6/17 gallons per hour
Thus, the expression determines the quantity of water leaving the tank is (18 1/2 gallons)/(4 1/4 hours)
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Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is $15\frac{1}{2}$ years old, and Megan is $7\frac{7}{12}$. What is the difference in their ages? Express your answer as a simplified mixed number.
The difference between their ages is obtained as 35/12.
What is the difference?Let us recall that the term fraction has to do with a part of a whole. In this case, we have been told that Marcelle and Megan realized that they could express their ages more specifically if they used fractions.
Age of Marcelle = 15 1/2 or 31/2 years
Age of Megan = 12 7/12 or 151/12 years
The difference between their ages is;
31/2 - 151/12
=186 - 151/12
=35/12
There ages would have a difference of 35/12.
In the computation that has gone on above, we can clearly see that the difference in the ages is 35/12.
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Missing parts;
Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
Justin invested $7,300 in an account paying an interest rate of 1.5% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $8,560?
Answer: 10.7 years.
Step-by-step explanation:
7,300 * (1 + 0.015)^x = 8,560 <=>
7,300 * 1.015^x = 8,560 <=>
1.015^x = 8,560 / 7,300 <=>
1.015^x = 1.1726 <=>
x = 10.694
To the nearest tenth:
x = 10.7 years
What is the common difference for this arithmetic sequence? 45, 40,35, 30.25,...
Answer:
It decreases by 5 each time. -5 would be another way to state it
Step-by-step explanation:
Answer:
d = - 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, so
d = a₂ - a₁ = 40 - 45 = = 5
A woman has 23 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.10, how many
dimes and how many quarters does she have?
Answer:
Step-by-step explanation:
there is 1 dime and 12 quarters
what is 0.133 with a bar over 33
Answer:
2/15
Step-by-step explanation:
make x= 0.13
multiply it by 10^1 .
10x = − 1.33
subtract x from 10x
10x−x =
1.33 - 0.13
9x = 1.2
divide both sides by 9 to get x as a fraction
x = 1.2/9 =
12/90 =
2/15
httpssocraticorgquestionshowdoyouconvert0133beingrepeatedtoafraction#242780
A bar over a digit in a decimal number, such as 0.133 with a bar over the 3, indicates that the number is a repeating decimal. In this case, 0.133 is a repeating decimal and the digit 3 is repeating infinitely.
What is repeating decimal?A repeating decimal is a decimal number whose digits are periodic and repeat infinitely. They are also called recurring decimals. For example, 0.333... is a repeating decimal, with the digit 3 repeating indefinitely. The same goes for 0.666... and so on. They can also be represented in the form of a fraction, where the numerator is the repeating decimal and the denominator is a power of 10 with a 1 followed by as many zeroes as the number of digits in the repeating block. Repeating decimals can also be represented with a bar over the repeating block of digits, for example 0.133 with a bar over the 3, indicating that the digit 3 is repeating infinitely. It's also written as 0.133(3) where (3) means the repeating decimal. Another way is to use a dot above the repeating digit.To learn more about decimal refer:
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I want to know how to get the GCF and LCM of 8,24,48
Answer:
GCF = 8
LCM = 48
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE BRAINIEST IM STUDYING HELP A PERSON OUT NO SCAMMSSS>S>>S
Answer:
White
Step-by-step explanation:
20 divided by 4 = 5
White was spun 5 times.
help pls...
Three side lengths of a right triangle are given. Use the drop-down menus to explain why matters where you substitute the lengths in the Pythagorean Theorem.
In the Pythagorean Theorem, the (two ahortest sides) / (one short side and the hypotenuse) must always be substituted for the side lenghts, not (a short side) / (the hypotenuse).
Answer:
?
Step-by-step explanation:
Good morning, is there any guinea pig expert or anybody with a small creature know what's going on cause inside my guinea pig eye (not outer) have this white spot in the pupil, it expands and shrinks.. please help
I would like to ask you to go to the vet, or attempt to, as this might be a worm in the eye. The same thing happened to my dog.
Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose
to Chicago. If Benji's flight from Chicago to San Jose was 4.5 hours long, how long was his return
flight, in hours?
Choose 1 answer:
A
3.5
B 4
C 4.5
D
assroom
5
The time taken for his return flight, in hours could be 4 hours.
What is time ?
Time is defined as the sequence of events that occurs which can be from past through present or to future.
Given,
Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose to Chicago.
If Benji's flight from Chicago to San Jose was 4.5 hours long
let,
chicago to san jose = san jose to chicago+0.5
4.5 - 0.5 = san jose to chicago
san jose to chicago = 4 hours
Hence, How long was his return flight, in hours is 4 hours.
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Select the correct answer. How can you write the expression 7(b – 2) in words? A. Two subtracted from the quotient of seven divided by b B. Seven added to difference of b minus two C. The quotient of seven divided by b minus two D. Two subtracted from seven times b E. The product of seven and the difference of b minus two
Answer:
its e
Step-by-step explanation:
Ross had 85 papers to grade from his students. He has graded 60 of them. Approximately what percentage of papers does he have left to grade?
well, our origin amount will be 80, so 80 is the 100% or all papers, now, she has graded 60, so what's leftover is 20, what's 20 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 20& x \end{array} \implies \cfrac{80}{20}~~=~~\cfrac{100}{x} \\\\\\ 4 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{4}\implies x=25[/tex]
Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by $\frac{5}{6}$. If the coin turns up tails, she multiplies the number she's thinking of by $\frac{6}{5}$. Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either $\frac{5}{6}$ or $\frac{6}{5}$, depending on the coin flip. The ten coin flips turn out to be:\[ \text{THTTHTHTTT}, \]where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction $\frac{5}{9}$
Starting out with the fraction of 5/9, Jess would be thinking of the fraction 144/125 at the end of the game if the ten coin flips turn out to be {THTTHTHTTT}.
What is the probability of getting H or T in a coin flip?Since both outcomes are equally likely, the probability of getting heads is 0.5 and the probability of getting tails is also 0.5. Alternatively, the probability of getting H or T in a coin flip is 1.
What is the significance of probability?Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.
Taking the sequence of coin flips in ten tires, i.e THTTHTHTTT , and starting from the fraction 5/9, the fraction that jess would be thinking at the end of the game can be calculated as,
5/9 * (6/5)^7 *(5/6)^3 , since there are 7 Tails and 3 Heads during the whole game. Which is equal to the fraction 144/125.
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why is the product of the circumradius and the area of the triangle equal to the product of the sides of the triangle
Answer:
It isn't.
The correct relation is 4r·Area = abc.
Step-by-step explanation:
You want to show the relation between the product of triangle side lengths and the product of the triangle area and the radius of the circumcircle.
Triangle areaThe area of the triangle in the attached diagram can be found by ...
Area = 1/2(bc)sin(α)
Side lengthThe inscribed angle theorem tells you the measure of the arc subtended by an inscribed angle is twice the measure of the inscribed angle. That means the opposite chord will be twice the length of the product of the radius and the inscribed angle value:
a = 2r·sin(α)
Circumradius productThe product of the circumradius and the area of the triangle is ...
r·Area = r·(1/2)(bc)sin(α) = 1/4(bc)(2r·sin(α)) = 1/4abc
Without the fractions, the relation is ...
4r·Area = abc
__
Additional comment
As a simple example, consider a 3-4-5 right triangle. The area of the triangle is ...
A = 1/2(3)(4) = 6
The circumradius is half the length of the hypotenuse, r = 5/2.
The relation of interest is ...
4r·Area = abc
4(5/2)(6) = 3·4·5
60 = 60 . . . . . . . . . . as expected
This could be a very simple way to find the circumradius of a triangle.
please help it's due today, And please if you don't know the answers don't put any links or apps. And if you do know the answer plz help me.I'll mark as brainliest
the first one is 3. and the second is 1.
Answer:
B (1): iii
B(2): ii
Step-by-step explanation:
B(1): answer choice 3 is the only answer increasing at a constant rate.
B(2): answer choice two is the only answer not increasing at a constant rate
Find the surface area and show the work
Answer:
where is the qestion
Step-by-step explanation:
Answer:
surface area for what u didn't include any numbers