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]
Help help help help math
area=147 cm squared
7 x 7 = 49
49 x 3 = 147
a chip board has 10 black chips and 13 red chips what is the value of the chip board
Answer:
23 chips I believe
Step-by-step explanation:
10 add 13
can y’all help me with this ?
Answer: (8, -2)
Step-by-step explanation:
the corner of the triangle which is Q when reflected would end up at (8, -2)
Answer:
(8, -2)
Step-by-step explanation:
Point Q is on (8,2).
The rule for a reflection over the x -axis is:
(x,y) -->(x,−y)
Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).
[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]
Hope this helps.
My question : here is related to Algebra 1 HELP
Answer:
The sun is about 390 times farther than earth is from the moon
Step-by-step explanation:
It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.
Write 252 as a product of primes. Use index notation when giving your answer.
Answer:
2^2 * 3^2 * 7
Step-by-step explanation:
Keep dividing by prime numbers:
2 ) 252
2) 126
3) 63
3) 21
7
so 252 = 2*2*3*3*7
= 2^2 * 3^2 * 7
3. What is the area of the figure?
Answer:
981.75
Step-by-step explanation:
The area of a circle is πr^2, but this a semi circle, so you need to half it.
I don’t understand someone please give me answer
Find each percent increase round to the nearest percent from 86 books to 140 books
Answer: 61%
Step-by-step explanation:
identify the x- and y- intercepts for the line: -3x+3y=27
Step-by-step explanation:
-3x + 3y = 27
-x + y = 9
y = x + 9
so the y-intercept is 9 (y value when x =0).
and as point (0, 9)
the x-intercept is the x value when y = 0 :
0 = x + 9
x = -9
and as point (-9, 0)
Solve for b.
r=5(b + a)
help timed
Answer:
b=(r/5)-a
Step-by-step explanation:
To solve, you do the mathematics.
r=5(b+a)
r=5b+5a
5b=r-5a
b=(r/5)-a
pls help everyone this is due tomorrow at 8 am <3
Answer:
e=19.6h
Step-by-step explanation:
If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.
21 h 1 hour
--------- = ------------------
411.60 dollars xdollars
To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.
411.60 / 21= $19.6
Now, since we know the unit rate, we can make an equation!
e=19.6h
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
Write all permutations of the letters E, F, G, and H if the letters F and G must remain between the letters E and H. (Enter your answers as a comma-separated list of four letter combinations. For example, the combination "C,D,E,F" should be entered as CDEF.)
Answer:
EFGH, HFGE, EGFH, HGFE
Step-by-step explanation:
5. Find mTOS in the figure below.
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day!
We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.
We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees
Since we know this, we can form the equation [tex]<TOS=180-128[/tex]
Therefore, we know that <TOS is 52 degrees.
We can test this by adding up 52 and 128 and we should get 180.
[tex]128+52=180?\\180=180[/tex]
Therefore, [tex]<TOS=52[/tex] degrees.
A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?
Answer:
y = 4x + 2Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m is the slope, b is the y-interceptFind the slope using given points:
m = (10 - 2)/(2 - 0) = 8 / 2 = 4The y-intercept is given with point (0, 2):
b = 2The line is:
y = 4x + 2[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]
Put in slope intercept form
[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]
Equation of the line
[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]
3a2 + 2a + 2a2 is equal to
Answer:
5a^2 +2a
Step-by-step explanation:
Like terms are ones with the same exponent of x. They can be combined.
3a^2 +2a +2a^2
= (3a^2 +2a^2) +2a
= (3+2)a^2 +2a
= 5a^2 +2a
5a² + 2a
Step-by-step explanation:
[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]
[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]
[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]
May I please receive help?
Answer:
6.6 ft.
Step-by-step explanation:
Right triangle: Use this formula a² + b² = c² . Given c = 12, a = 10 find b
(10)² + b² = (12)²
100 + b² = 144
b² = 144 - 100
b² = 44
[tex]b = \sqrt{44}[/tex]
b = 6.6
please help me asap..!
ty :)
Answer:
y-inctercept=4, x-intecept=7
Step-by-step explanation:
I did it with the standard to slope again!
[tex]7y=28-4x[/tex]
[tex]y=4-\frac{4}{7}x[/tex]
Now don't get confused here, 4 is the y incetecept, not -4.
When y=0, x=7
UPDATE:
To determine x and y intercept using graph, see where the line intersects at the x or y axis.
A store has 3 separate displays of color markers. There are 14 sets of color markers in each display. There are 15 markers in each set. What is the total number of markers on display?
A.) 240
B.) 630
C.) 210
D.) 633
Answer:
C.) 630
Step-by-step explanation:
14x15=210
210x3=630
See attachment for answer and math work.
−3x+5y=2x+3y ordered pairs
Answer:
y=5/2x
Step-by-step explanation:
5x=2y
y=5/2x
you cant get ordered pairs from this directly you will only get an equation
need help on these 2 questions
Answer: y = -1 and x = 3
Step-by-step explanation:
x=-2y+6
3x-4y = 28
There are two ways to solve this: 1) solve directly with the equations, and 2) graph the line and look for the intersection.
---
Use the definition of x from the first equation and substitute it in the second:
3x-4y = 28
3(-2y+6)-4y = 28
-6y + 18 -4y = 28
-10y = 10
y = - 1
---
Graph the two lines and find the value of y at the point they intersect. See the attachment.
y = -1 at x= 8
=======================
For the second question:
y=3x-10
4x+5y=7
---
4x+5y=7
4x+5(3x-10)=7
4x+15x-50=7
19x = 57
x = 3
----
2/3 (4x + 3) = 1/4 (3x - 15)
Answer:
x=-3
Step-by-step explanation:
8 x 1/2=4 simplified
Answer:
Step-by-step explanation:
8➗2=4
since 1/2 is divinding
what is the answer please help!!!
(asap)
So I could only figure out question 8, 9, 10, and maybe 12.
Answer:
8.) x=29
9.) <b=32
10.) <z=106
?? 12.) 128 i think
Step-by-step explanation:
8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.
2x+1+3x-15+49=180
After this you add up all of the similar terms.
5x+35=180
Now subtract 35 from both side to get
5x=145
Now divide each side by 5 and you should get 29
so x=29.
9.) First step is to add all of the angles together and equal to 180.
x+28+x-28+x=180
Next add all of the like terms together.
3x=180
Now divide each side by 3 to get x=60.
Don't stop there. Now fill in the x at <b.
(60)-28 which equals 32. so <b=32
10.) First step is to add all of the angles together and equal them to 180.
x-9+x-1+3x-20=180
Next add all of the like terms together.
5x-30=180
Now add 30 to both sides.
5x=210
now divide both sides by 5 to get x=42
Don't stop there.
Now fill in the answer for x in the <z spot.
3(42)-20
<z=106
12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.
Okay so first i did 3x-28+x=180
By using desmos, I got the answer x=52
Basically all it did was
4x-28=180
add 28 to both sides to get 4x=208
then we divide by 4 on both sides to get x=52
after that you fill in the x for the outer angle because that is what it is asking for.
you then get <QST=128
I know its not all of them but i hope this helps!!
You go to your locker to get some supplies. You grab 3 pens and 6 markers, then you find 2 more markers on the bottom of your locker. Choose the equivalent expressions to represent the number of pens and markers you now have.
BoldItalicUnderline
Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2
Answer:
x = 2, m = 3.75, a = 1.25Step-by-step explanation:
Solve by comparing ratios of corresponding sides:
(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75
a/3 = 5/12a = 3*5/12a = 1.25
Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1
Answer:
t[1] = 120; t[n] = t[n-1]/n, n ≥ 2
Step-by-step explanation:
The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.
The first term is 120, so ...
t[1] = 120
Using the above-described rule, ...
t[n] = t[n-1]/n . . . . for n ≥ 2
6.4 divided by 43.52
Answer:
0.14705882352
Step-by-Step:
Just use a calculator and your answer should pop up.
Whats the answer to these questions?
Answer:
answer is attached
Help. Match each equation with its corresponding graph.
Answer:
y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C
2x + 6y = -6 ; Graph A
y = [tex]\frac{1}{2}[/tex]x + 2; Graph B