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]
the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks
Step-by-step explanation:
cars : trucks = 3 : 5
there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.
these 8 parts (or the whole) are in total 360.
therefore, 1 part = 360/8 = 45
cars get 3 parts of the whole parking lot, that is
45 × 3 = 135 cars
trucks get 5 parts of the whole parking lot, that is
45 × 5 = 225 trucks
Find the vertical asymptote(s) of f of x equals quantity x squared plus 3x plus 6 end quantity over quantity x squared minus 4.
Answer:
x = -2, x = 2
Step-by-step explanation:
The denominator factors as ...
x^2 -4 = (x -2)(x +2)
The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.
Angelina has 32 cookies. Jerry had 51 cookies. If Jerry stole 14 of Angelina's cookies but then gave her 28 cookies, how many cookies do Jerry and Angelina have left?
Having a hard time!
Answer: They have 83 cookies all together.
Step-by-step explanation: First we have to do 32 - 14, because Merry stole 14 of Angelinas cookies, so 32 - 14 = 18. So, she has 18 cookies left. Then if he gave her 28 cookies, we do 18 + 28 = 46. So we know that Angelina has 46 cookies. Now we do the same thing with Jerry. So since jerry took 14 of Angelinas cookies, we do 51 + 14 = 65. Then we do 65 - 28, since he gave her 28 cookies, so 65 - 28 = 37. So Jerry has 37 cookies, and Angelina has 46 cookies. Then we add them up since they are asking for the total, 37 + 46 = 83.
The sum of six times a number and six more than the number is the same as the difference between -30 and twice the number what is the number
Answer:
-4
Step-by-step explanation:
let the number be x
6x+(x+6)=-30-2x
7x+6=-30-2x
9x=-36
x=-4
write tan(t)/cos(t) in terms of sin(t)
[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]
The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each haircut. Write an equation that could be used to determine how many haircuts, h, Jenny must give in one day to make $154 after paying rent for her station.
Answer:
50h+25.5=154
Step-by-step explanation:
Describe the following change as both an absolute change in terms of Percentage Points, and as a relative change in terms of a percentage.
The annual interest rate for Jack's savings account increased from 2.3% to 2.8%.
Answer:
0.5%
Step-by-step explanation:
help me please!!!!!!!!!!
Answer:
-35
Step-by-step explanation:
Someone please help me asap I beg you guys please I’ll mark BRAINLIEST
Answer:
y = 3
x = 2 is your answer may be
Answer:
y=4/3x+5
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!
Answer:
4) a₁₅ = 128
5) B. [tex]a_n=a_{n-1}+6[/tex]
Step-by-step explanation:
4)
This is an arithmetic sequence, where all terms have a common difference:
[tex]a_n=a_1+(n-1)d[/tex]
Here, the common difference is 9.
[tex]11-2=9\\20-11=9[/tex]
Use that to write the equation and solve for a₁₅:
[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]
5)
This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:
[tex]a_n=a_{n-1}+d[/tex]
This simply states that each term is d more than the term before it.
Here, the common difference is 6:
[tex]2--4=6\\8-2=6\\14-8=6[/tex]
And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]
PLSSSS HELPPPPPPOP
Solve each equation for the indicated variable
1) G = 6x , for x
2) U = 2x - 2 , for x
3) Z = m - x , for x
4) G = ca , for a
5) U = x - k , for x
6) G = c + x , for x
7) U = k/a , for a
8) g = xc , for x
9) 12 am = 4 , for a
10) -3 x + 2c = - 3 , for x
11) am = n + p , for a
12) U = ak/b , for a
13) a - c = d - r , for a
14) xm = np , for x
Answer:
Step-by-step explanation:
1) G = 6x , for x: G/6
2) U = 2x - 2 , for x: (1/2)U + 1
3) Z = m - x , for x: m - Z
4) G = ca , for a: G/c
5) U = x - k , for x: U + k
6) G = c + x , for x: G - c
7) U = k/a , for a: k/U
8) g = xc , for x: g/c
9) 12 am = 4 , for a: a = 1/(3m)
10) -3 x + 2c = - 3 , for x: x = 1 +(2/3)c
11) am = n + p , for a: (n+p)/m
12) U = ak/b , for a: U(b/k)
13) a - c = d - r , for a: a = d - r + c
14) xm = np , for x: np/m
$2,000 loan at 8% for 5 years.
Answer:
$2,800 = Principle + InterestStep-by-step explanation:
Using PRT/100, let's find the interest.
=> 2,000 x 8 x 5/100=> 20 x 8 x 5=> $800Conclusion:
Therefore, the interest plus principle is 2,000 + 800, which is $2,800.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
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]
Which ordered pair is a solution to the system of inequalities?
{y > -2
{x + y ≤ 4
A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)
A (1,3) is a solution to the system of inequalities
PLS help its the last question
Answer:
D
Step-by-step explanation:
Jada types 120 words per minute how many words does jada type in 1.5 minutes
Answer:
180
Step-by-step explanation:
Solve the following equations
1. 83x= 1/256
2. 243 3-p= 3 p -3
Here are ur answer.......
The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
The lenghts of the sides of a small cube are 1/4 ft each.
Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)
Answer:
See belowStep-by-step explanation:
Dimensions given:
l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ftA small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
Length
2 1/4 : 1/4 = 9/4 * 4 = 9Width
1 : 1/4 = 1 *4 = 4Height
1 1/4 : 1/4 = 5/4 * 4 = 5Part A
Number of small cubes would be:
9*4*5 = 180Part B
Each small cube has volume:
V = (1/4)³ = 1/64 ft³The volume of the prism in terms of small cubes is 180 as we found above.
The volume in terms of unit cube:
V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³Jessica's piggy bank has a total of $13.25 in dollar bills and quarters. If there are a total of 29 dollar
bills and quarters. Find out how many dollar bills and how many quarters are in the piggy bank.
Answer: $8 21 quarters
Step-by-step explanation:
20 quarters is $5 plus another is $5.25
8 dollars is $8 plus the $5.25 = $13.25
Have a nice day, and if you could be so kind as to give me a brainliest
69 points from simplord
What is the correct answer?
Answer:
The first one:
Equation n+(n+1) +(n+2)=36
3n+3=36
the numbers are 11, 12,13
Step-by-step explanation:
So if you plug ll for n you get 36
So if you plug 12 in for in u get 39
Then in you plug 13 in for n u get 41
I hoped that helped
Answer: First option
The numbers are 11, 12, 13
11+12+13 = 36
===============================
Explanation:
Here's one way to solve for n
n+(n+1)+(n+2) = 36
3n+3 = 36
3n = 36-3
3n = 33
n = 33/3
n = 11
That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13
So the three numbers are 11,12,13
11+12+13 = 23+13 = 36 which confirms the answer
-------------
For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.
As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.
Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.
Consider the reaction. Upper n subscript 2 (g) plus 3 upper H subscript 2 (g) double-headed arrow 2 upper N upper H subscript 3 (g). At equilibrium, the concentrations of the different species are as follows. [NH3] = 0. 105 M [N2] = 1. 1 M [H2] = 1. 50 M What is the equilibrium constant for the reaction at this temperature? 0. 0030 0. 030 34 340.
The equilibrium constant of the reaction is 0.0030.
The equation of the reaction is given as;
N2(g) + 3H2(g) ⇆ 2NH3 (g)
We have the following information at equilibrium;
[NH3] = 0.105 M
[N2] = 1.1 M
[H2] = 1.50 M
Hence, we can calculate the equilibrium constant using the relation;
K = [NH3]^2/ [N2] [H2]^3
Substituting values;
K = [0.105]^2/[ 1.1] [1.50]^3
K =0.011025 /3.7125
K= 0.0030
Learn more: https://brainly.com/question/17960050
8 to the 9th power over 8 to the 7th power simplified?
Answer:
64
Step-by-step explanation:
8^9/8^7
Subtract the 9 and 7 which equals 2
Which is 8^2
8^2 is 64
Thus the answer is 64
Hope this helps!
Help asap please!! Full work gets brainliest!!
Answer:
7,15,20
Step-by-step explanation:
Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.
7 , 15 and 20
7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle
7 + 15 = 22
22 > 20 is true so this might be the answer but lets check the other answer choices just in case.
( we do this same process to the other answer choices )
11 , 22 and 35
11 + 22 must be greater than 35 in order for these to be side lengths of a triangle
11 + 22 = 33
33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle
7, 16 and 23
7 + 16 must be greater than 23
7 + 16 = 23
23 > 23 , this is not true so this can't be the answer.
5 + 17 must be greater than 22
5 + 17 = 22
22 > 22 this is not true so this can't be the answer.
The answer is 7,15,20
Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.
Answer: there you go
Step-by-step explanation:
What is the purpose of an assignment statement?
to assign a programming language
to assign an editor to a program
to store a value in a variable
to assign a debugging routine
Using programming concepts, it is found that the purpose of an assignment statement is:
to store a value in a variableIn programming, examples of assignment statements are:
x = 2, which stores the value 2 at the variable x.y = x + 3, which stores the value stored at variable x added to 2 at variable y.From the bullet-points, we have that the key-word is stores, hence, storing a value in a variable is the purpose of an assignment statement, and the correct option is:
to store a value in a variableYou can learn more about assignment statements at https://brainly.com/question/3949761
Answer:
The answer would be to store a value in a variable.
Step-by-step explanation:
I took the test and got it right.
A man has 13 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
3.25
Step-by-step explanation:
13÷4=3.25
Everyone gets 3.25 kg of chocolate
Answer:
3 1/4 kilograms
Step-by-step explanation:
13 ÷ 4 = 3.25 = 3 1/4
What is the slope of the line shown below?
2
03
O 1/3
Answer:
1/3
Step-by-step explanation:
the y increases by 3 in the line while at the same time x is increased by 1. x/y for slope, so itd be 1/3
What is the surface area? 10 mm
7 mm
4 mm
Answer:
Perhaps 270 mm^2, if it is a box.
Step-by-step explanation:
What shape is this? A box?
If a box:
There are 6 faces:
1. 2 ends: 7mm x 4mm = 28 mm^2/end
2. 2 sides: 10mm x 7mm = 70 mm^2/side
3. top and bottom: 10mm x 4 mm = 40 mm^2/each
====
Totals:
1. 56 mm^2
2. 140 mm^2
3. 80 mm^2
Total 270 mm^2
An admission ticket costs $7.50 with a 5.75% tax.
Answer:
Step-by-step explanation: