10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰
10101₂ = 16 + 0 + 4 + 0 + 1
10101₂ = 21
Here see below
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
is the sum of two rational numbers always rational
Answer:
in short, Yes they are always rational.
here's why...
E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had
Step-by-step explanation:
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Answer: {(2,-2), (1,5), (-2,2), (1,-3), (8,-1)}, and {(3,-1), (7,1), (-6,-1), (9,1), (2,-1)
Step-by-step explanation: In order for a given relation to be a function, there can only be 1 x-value that can repeat. The y-values on the other hand can repeat an infinite amount of times. In the last 2 relations, you have (-2,-5), (-2,9) and (-3,1), (-3,2), and (-3,-3). You can also graph these relations and do a vertical line test with your pencil drawing a straight line downward and you'll notice that you will touch the graph more than 1 time. The first 2 relations if you were to graph them and do a vertical line test by using a pencil or pen, you'll notice that you will touch the graph once which shows you that you have a relation that is indeed a function.
Hope this explanation helps.
Answer:
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
50 POINTS MATH HELP ASAP
Answer: 90° + 41° =131° 180°-131° =149°
X=5.5-6
Step-by-step explanation:
Step-by-step explanation:
i think it is the answer ...
Ok ixl is back up so here’s another question
Answer:
40 products
Step-by-step explanation:
If you take a look at the graph, you'll see that 300 seconds (on left) are required to complete a transaction of 40 products (on bottom).
Two planes leave Berlin. One plane flies 939 km to London. The other plane flies to 882 km to Paris. The angle
between the flights is 18º.What is the distance between London and Paris?
London
939 km
18
Berlin
882 km
Paris
The distance between London and Paris is 290.38km
To get the distance between London and Paris, we will see the cosine formula as shown:
c² = a² + b² - 2ab cosФ
Given the following parameters:
a = 939kmb = 882 kmФ = 18⁰Substitute into the formula to have:
c² = a² + b² - 2ab cosФ
c² = 939² + 882² - 2(939)(882) cos18
c² = 1,659,645 - 1575326.21
c² = 84,318.79
c = 290.38km
Hence the distance between London and Paris is 290.38km
Learn more on cosine rule here; https://brainly.com/question/7872492
(3,6) in a 180 degree rotation
Answer:
(-3,6)
Step-by-step explanation:
There's a formula for this, but it's just reflecting it across the y-axis.
Hope this helped! :)
what two decimal
are between the square root of 62
What is the solution to this system of linear equations?
2x + 5y = 34
X+ 5y = 32
A. (2,6)
B. (2,22)
C. (6,2)
O D. (22, 2)
A linear equation is an equation in which each term has at max one degree. The solution of the system of linear equations is (2,6).
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form y=mx+c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Solving the second equation for x,
x + 5y = 32
x = 32 - 5y
Now, substitue the value of x in the first equation,
2(32 - 5y) + 5y = 34
64 - 10y + 5y = 34
-5y = -30
y = 6
Substitue the value of y in any one of the equation,
x + 5y = 32
x + 5(6) = 32
x = 2
Hence, the solution of the system of linear equations is (2,6).
Learn more about Linear Equations:
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Prove how they are congruent. Geometry:SSS
[tex]\huge \bf༆ Answer ༄[/tex]
For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~
therefore correct choice is ~ C
[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]
The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
Recall:
Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.Thus, in the two triangles given, the two triangles has:
Two pairs of congruent sides - HI ≅ ML and IJ ≅ MNTherefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
Learn more about SSS Congruence Theorem on:
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plz answer in (x,y). 15 POINTS!!!!!!!!
Rosena bought an 8 pack of donuts. The donuts cost $28.00 all together. What is the unit rate for the donuts in dollars?
Answer:
$3.50
Step-by-step explanation:
I hope this helps!
Answer:
$3.50 per Donut
Step-by-step explanation:
Well if the total cost is $28.00 and there were eight donuts, then out equation would be 8 x ____=28
So, 28/8=3.5
i need help... I cant figure This one out!! Lol someone help!
Answer:
x= 48
Step-by-step explanation:
x+90+42=180
x= 48
please mark brainliest
What is the value of the expression below?
(3 1/2 - 9 3/4) ÷ (-2.5)
Answer:
2.5
Step-by-step explanation:
3 1/2 - 9 3/4 =
3 2/4 - 9 3/4 = -6 1/4
-6 1/4 = -6.25 ÷ (-2.5) = 2.5
n a class of 40 students, 15% of the students were absent on a particular day.
How many students were absent on that day?
Answer:
6
Step-by-step explanation:
15% of 40 is 6.
So 6 was absent.
Out of 40 students total 6 students were absent on the particular day.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Total number of students in a class = 40.
Also, 15% of the total students were absent on a fixed day.
To find the number of students who were absent,
Use percentage property,
Absent students = 40 x 15%
= 40 x 15/ 100
= 600 / 100
= 6
Total number of 6 students were absent on that day.
To learn more on Percentage:
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what is the constant for 1000z + 800y
Answer:
No
Step-by-step explanation: they're is no constants they are both coeffitient because they are both numbers infront of the variable
2
Lola is traveling to Florida and needs to rent a car. The charge is $22 per day and an additional $0.15 per mile. Lola only has $52 to spend. How many miles can she go?
Answer:
answer is in an image here
imageshare.best/image.php?id=JS9NDO
Explanation:
copy n paste in browser
not a bot btw
Find the area of the square
Answer:
144
Step-by-step explanation:
225-81 because with pythagorean thorem both sides should equal the C value or the bigger square.
Mr. Smith had $50. He found a $5 bill. What is the percent of change in his money?
Please show in step by step how to solve
Answer:
10%
Step-by-step explanation:
a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%
PLEASE HELP!
Question 3 (Essay Worth 10 points)
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
One pass is $24
Step-by-step explanation:
14+2x=62
-14
2x=48\2
X=24
Answer: The person above's answer
Step-by-step explanation:
I did the test and it was right
A musician has just purchased a theremin — an instrument that can be played by moving your hands in the air. For every 30 centimeters that she moves her hand away from the theremin’s antenna, the pitch of the theremin’s sound drops 500 hertz. By how many hertz does the pitch drop for every meter that she moves her hand away?
Answer:
1665 hertz
Step-by-step explanation:
30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)
Billy kicks a soccer ball off the ground after taking a quick running start. The graph below shows the height of the ball. What do(es) the solution(s) to the function represent?
From the graph, the solutions of the function represents the instants in which the ball hits the ground.
In the graph, we have that:
The x-axis is the time, ins seconds.The y-axis is the height of the ball, in feet.The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.
For a similar problem, in which we find the times in which an object hits the ground, you can check https://brainly.com/question/16840613
Can someone pleaseee answer this
Answer:
Answer is in the attached file.
Answer:
x = 80
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
2x -48 = x +32
x = 80 . . . . . . . . . . add 48 -x to both sides
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
16 and 2
Step-by-step explanation:
16+2=18
16-2=14
Plz, help I will give brainiest to the correct answer!
Answer:
A is correct.
Step-by-step explanation:
Pls help im am struggling i will give brainliest !!!!!!!!!
They are extremely similar but a(x) has a greater y-intercept!
If you look at the y axis, a(x) simply intercept it higher than b(x)
Hope this helps!
Answer:
a(x)
because the greater is a(x)
Place the steps to solve 2(x + 3) - 5x > 18 in order.
Answer:
-4
Step-by-step explanation:
That's the answer above
Dustin looks around at an assembly. He notices his younger sister to his right and his older brother 4.1 feet ahead of him. If Dustin's brother and sister are 8.8 feet apart, how far apart are Dustin and his younger sister? If necessary, round to the nearest tenth.
Answer:
So the answer would probably be 4.8 feet?
Step-by-step explanation:
Jett leaves for the airport at 3:20 p.m. The airport is a 35-minute drive from his house. What time does he reach the airport?
Answer:
3:55
Step-by-step explanation:
add 35 to 20 then put the hour =
3:55
Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is - 36." What is Julio's number?
Answer:
Julio’s number is 29
Step-by-step explanation:
(x - 17) · -3 = -36
x - 17 = 12
x = 29
Check:
29 - 17 = 12 · -3 = -36
Calculate the HCF of 8a³-27, 4a²-9 and 4a²-12a+9
[tex] \: \: \: \: \: [/tex]
first add
(3a²-5a+5)+(a³-5a²+8)
=3a²-5a+5+a³-5a²+8
=a³-2a3a²-5a²+5+8
=a³-2a²+13
and now,
substract a³-2a²+13 from a²-4a²-9
=7a²-4a²-9-(a³+13)
=7a²-4a²-9-a³+2a²-13
= a³+7a²-4a²+2a²-9-13
=-a³+5a²-22
hope it helps