Convert:
a) 5810 to base 2
b) 101112 to base 10
Step by step would be awesome
I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.
Write 58 as the sum of the largest powers of 2 that you can:
58 = 32 + 26
58 = 32 + 16 + 10
58 = 32 + 16 + 8 + 2
58 = 2⁵ + 2⁴ + 2³ + 2¹
58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰
⇒ 58₁₀ = 111010₂
To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.
10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰
10111₂ = 16 + 0 + 4 + 2 + 1
⇒ 10111₂ = 23₁₀
#a
[tex]\\ \sf\Rrightarrow (58)_{10}[/tex]
[tex]\\ \sf\Rrightarrow (2+8+16+32)_{10}[/tex]
[tex]\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}[/tex]
[tex]\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)[/tex]
[tex]\\ \sf\Rrightarrow (111010)_2[/tex]
#b
[tex]\\ \sf\Rrightarrow (10111)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+2+4+16[/tex]
[tex]\\ \sf\Rrightarrow (23)_{10}[/tex]
Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:
the first one ((x+8, y+2), r x-axis)
i need help w this pls
Answer:
see explanation
Step-by-step explanation:
TQ and TR are perpendicular bisectors , so
QO = QN = 3.75
RP = OR = 3.4
The circumcentre T is equally distant from the triangle's 3 vertices, then
PT = QT = 4.5
Q.
[tex] \frac{9}{6} + \frac{6}{9} = [/tex]
#use method
#good luck
Answer:
The answer is 13/6
Step-by-step explanation:
9/6 + 6/9
9/6 = 3/2
6/9 = 2/3
Now,
3/2 + 2/3
Cross Multiply
3 × 3 + 2 × 2/2 × 3
9 + 4/6 = 13/6
Thus, The answer is 13/6
-TheUnknownScientist 72
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] = \frac{9}{6} + \frac{6}{9} \\ = \frac{27 + 12}{18} \\ = \frac{39}{18} \\ = \frac{13}{6} [/tex]
please help me!
ty :)
Answer:
5
Step-by-step explanation:
The distance between the points in RISE/RUN is 10/2.
10/2 = 5. Your slope is 5
Hope that helps. Brainliest is appreciated
HELP! I need answers to every question
Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151
What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179
The lowest score for Leo’s mean to be 150.0 is 179.
Mean can be described as the average of a set of numbers.
Mean = sum of number / total numbers
In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.
Sum of scores = 138 + 157 + 146 + 129 + 151 = 721
The second step is to determine the sum of scores when his mean is 150
Sum of scores when mean is 150 = 150 x 6 = 900
Least score = 900 - 721 = 179
To learn more about mean, please check: https://brainly.com/question/12528427
Answer:
179
Step-by-step explanation:
One it says he wants his score to be at least 150, and then it shows what his scores are which is; 138, 157, 146, 129, 151, then it gives the options of
121
146
154
an 179
then it says what is the lowest score for Leo's mean to be 150.0
and the lowest that it can be is the answer which is 179
Hope this helped, if yes pls put thanks :D
Hey y’all can u please give me the correct answer.
Step-by-step explanation:
-8 - 6x < 1
Bringing like terms on one side
-6x < 1 + 8
-6x < 9
x < 9/-6
x < 3/-2
I think the correct answer is none
constant of proportionly in the equation 3y = 2x
Answer:
Divide both sides by 22.
\frac{3y}{2}=x
2
3y
=x
2 Switch sides.
x=\frac{3y}{2}
x=
2
3y
What is the value of |-7| - |3|
Answer:
4 is the correct answer
Step-by-step explanation:
|-7| = 7
|3| = 3
7 - 3 = 4
How many degrees in 0.375
of a full turn?
Answer:
135°
Step-by-step explanation:
A full turn is 360°, so 0.375 of a full turn is ...
0.375 × 360° = 135° . . . . degrees in 3/8 turn
Solve using substitution.
=
10x + 4y = -14
X = 1
-
Submit
Answer:
-6
Step-by-step explanation:
10x1 + 4y = -14
10+4y=-14
4y=-14-10
4y = -24
y = -24/4
y = -6
What's the answer please help me!
Answer:
0.62
Step-by-step explanation:
10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:
1st move: 620 -> 62.0
2nd move: 62.0 -> 6.20
3rd move: 6.20 -> 0.62
what's 0.084507042 rounded
Answer:
i belive by rounding you get 1
Step-by-step explanation:
Please help, im stuck
Solve 6[9 - (9x - 8)] + 3x = 0.
A. 2
B. -5/4
C. -32/47
D. 2/15
E. None of the above
Answer: 2
Step-by-step explanation:
distribute: 6 [ 9 − 9 + 8 ] + 3 = 0
add the numbers: 6 [ 1 7 − 9 ] + 3 = 0
rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0
distribute again: − 5 4 + 1 0 2 + 3 = 0
combine like terms: − 5 4 + 1 0 2 + 3 = 0
Subtract 102 from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2
simplify:− 5 1 = − 1 0 2
Divide both sides of the equation by the same term: -51x/-51 = -102/-51
simplify: 2
i hope this helps! ^^
Simplify 3a(2a+7)-2a²
143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2 is added to the product. What is the
number?
Answer:
-71
Step-by-step explanation:
let 'n' = a number
2(143 + 2n) = 0n + 2
2(143 + 2n) = 2
143 + 2n = 1
2n = -142
n = -71
A national survey of middle schoolers ask,”how many hours a day they spend doing their homework?which statement best represents the population?
Answer:
5 hours at least, 10 at most
Step-by-step explanation:
what is the equation of a line that contains points (5,3) and (0, -1)
Answer:
y = [tex]\frac{4}{5}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line
On a map, 1 cm represent 250 km. How many kilometres does 7 cm represent?
Answer:
1750
Step-by-step explanation:
Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
3(y - 2) = 3y - 6 PLZZZZZZ HELPPP
3(y - 2) = 3y - 6
3y - 6 = 3y - 6
3y - 3y = - 6 + 6
0 = 0
It has ∞ solutions.
0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.
_____
Hope it helps ⚜
Answer:
Infinitely Many Solutions
Step-by-step explanation:
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 Distribute 3.
0 = 0 Combine the like terms.
Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.
Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
11
Step-by-step explanation:
Givens:
AD = 8
AC = 4y - 28
y = ?
First we can see that AD and DC are equal.
-note AD and AC are not equal
But 2 times the length of AD should give you AC so.....
2 x length of AD = 16 = AC
We can use the equation:
16 = 4y - 28
Solve for y
16 + 28 = 4y
44 = 4y
y = 11
Therefore value of y is 11.
what is number of terms for 32y- 28
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.
Answer:
y=x+5
Step-by-step explanation:
if you mean how many she completed INCLUDING the 5 over the summer
How do I find the domain and range of this?
Step-by-step explanation:
identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7
Step-by-step explanation:
(f+g)(x) = f(x) + g(x) =
x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7
so, yes, B is the right answer.
Under stand place value
Answer:
What do you need help with?
Step-by-step explanation:
I'm confused because you didn't include a question.
Hello! so is this correct? is 16.093 x 10 = 5,000? or278,300? please help me if you see this. Thanks.
Answer:
160.93
Step-by-step explanation:
I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.
hope this helped! :)
What is the expected value of X?
X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4
6.2
6.05
5.95
5.6
Multiply each X by its corresponding probability P, then add up them up.
E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4
⇒ E[X] = 6.2
PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST
Answer:
See image
Step-by-step explanation:
In both of these the words "more than" mean adding and not the symbol >
difference means subtracting
See image