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]
work out m and c for the line: 5x-3y+4=0
Answer:
[tex]m = \frac{5}{3}[/tex]
[tex]b = \frac{4}{3}[/tex]
Step-by-step explanation:
The question requires you to rearrange the equation into the form:
y = mx + c
Which is the straight line equation, meaning rearrange for y:
Add 3y to both sides of the equation:
5x - 3y + 4 = 0
5x - 3y + 4 + 3y = 0 + 3y
5x + 4 = 3y
Divide both sides of the equation to isolate y:
[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]
[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]
This means that [tex]m = \frac{5}{3}[/tex] and [tex]b = \frac{4}{3}[/tex].
Hope this helps!
Answer:
m = 5/3 and c = 4/3.
Step-by-step explanation:
5x - 3y + 4 = 0
-3y = -5x - 4
y = (-5/-3)x - 4/-3
y = 5/3 x + 4/3
y = mx + c
So m = 5/3 and c = 4/3
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $58. Included in that price is $12 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:
58= 2x +12
each pass is 23 dollars
Step-by-step explanation:
let x represent the cost of the passes
58= 2x + 12
solve for x
58-12 = 2x +12 -12
46 = 2x
46/2 =2x/2
23 = x
Jayden purchases a television when his local electronics store had a sale. The television was 40% off its original price of $672. What was the sale price that jayden paid?
Answer:
The sale price he paid for the TV was $403.20
Step-by-step explanation:
You multiply the original price by .4 (40%). Then, you subtract that number from $672 to find the price Jayden paid! :)
Line Segment LM is the midsegment of the isosceles trapezoid ABCD. Find
Answer:
115
Step-by-step explanation:
They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.
180 - 65 = 115
I hope this helps!!
May I please receive help?
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Step-by-step explanation:
Apply Pythagoren Theorem.
[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]
where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.
the legs are 6 and our unknown. so let x represent the unknown
[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]
[tex]36 + {x}^{2} = 121[/tex]
[tex] {x}^{2} = 85[/tex]
[tex]x = \sqrt{85} [/tex]
x=9.2
Find the slope of the following graph and write ur results in the empty box.
100-80 divided by 4+(6-3) using pemdas
Answer:88.57
Step-by-step explanation: If your doing PEMDAS you do () Wich is 6-3 and gives 3tyen you do Addition which is 4+3=7 Then do Subtraction which is 100-80 so the equation is 100-80/7=88.57 etc.
Explain how to calculate and find 32% percent of 150.
Correct answer gets brainiest
Answer:
48
Step-by-step explanation:
You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.
150 * 0.32 = 48
Step-by-step explanation:
when finding the percentage of a number, multiply the number by the percentage's decimal form.
here's an example: 20% of 300
20% is 20/100 which is 0.20
now we just multiply
0.20×300=60
now for 32% of 150
32%--->32/100---->0.32
0.32×150=48
there you go! hope that helped
110 divided by 4 using area model.
The quotient of 110 divided by 4 is 27 with a remainder of 2.
To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.
Draw a rectangle to represent 110.
Divide the rectangle into four equal parts to represent dividing by 4.
Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.
Determine the quotient. Count the number of equal parts, which in this case is 27.
Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.
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Please help. 0=25x^2 + 80x + 68
write the slope intercept form of equation of line throug the given point a)parallel to b)perpendicular to given line
1) 4x-2y:3. (point 2,1)
2)x+y:7 point(-3,2)
This might not be right
one is y= 2x-3 and number two is y=-x-1
1) first you convert 4x-2y=3 into slope intercept form
y= 2x+ 3/2
then you change 3/2 to b
y=2x + b
then you plug in the point 2,1
(1)=2(2) + b
1=4+b
-3=b
after that you change the b in y=2x+b to -3
y=2x-3
2) after you convert it into slope intercept form (y=1x+b)
you have to change the x to a negative x because the line is perpendicular
y= -1x + b
then you plug in the point -3,2
2= -1(-3) + b
2= 3 + b
-1 = b
At the pool, three out of every seven kids are not wearing goggles. Which of the following is the fraction of kids who are not wearing goggles?
A : 4/7
B : 3/7
C : 3/4
D : 4/3
Answer:
B.3/7
Step-by-step explanation:
A person jogs 780 meters south and
then 360 meters west.
What is the magnitude of the
person's resultant vector?
Answer: Approximately 859.06926 meters
Explanation:
Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
c = sqrt( 780^2 + 360^2 )
c = 859.06926
The distance from the original starting point to the finish line is roughly 859.06926 meters.
in a school there are 542 girls and boys. how many pupils are there in that school?
Answer:
There are 1084 pupils in that school.
Step-by-step explanation:
If there are 542 girls and boys then you would have to double 542 to get the total number of people. So, there are 1084 people in that school.
Hope this helps!
Answer:
1084
Step-by-step explanation:
542+542
David hikes 2 1/4 miles in 1/2 an hour. At his rate, how long will it take him to walk 18 miles
During her vacation, Leslie traveled 578.78 miles in 3 days.
On the first day, she traveled 197.07 miles, and on the second day, she traveled 187.11 miles. how many did she travel the 3rd day?
Answer:
I think the answer is 194.6 miles on the third day
Step-by-step explanation:
Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate.
Answer:
hope it helps B-Y, C-Z, A-X
HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form
Enter your answer in the boxes
Y=__x+__
Answer:
Y= -5x + 6Y
Step-by-step explanation:
(-5, -2.5) to (1.5, 6)
Find the area of the figure.
triangle with base 18 in. and height 13 in.
The area of this triangle is
is
Answer:
117 square inches
Step-by-step explanation:
234/2
Answer:
A = 117 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 18 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²
if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
Step-by-step explanation:
a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²HENCE PROVED
a²-b²-c²=2bc
Step-by-step explanation:
........ ............... .......
Use the graph below to answer the question.
The statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
How to Find Rate of ChangeRate of change (slope) = change in y / change in x = rise/runRate of change for horizontal line/graph are always zero.To determine which statements are true, find the rate of change of each segment in the graph.
Rate of change for Segment R:
Segment R is horizontal, therefore the rate of change = 0.
Rate of change for Segment S:
Rate of change = rise/run = 7/2 = 3½.
Rate of change for Segment T:
Rate of change = rise/run = 8/-8 = -1.
Rate of change for Segment U:
Rate of change = rise/run = 5/3 = 2⅔.
The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).
Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).
Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).
Option 4 is false. Rate of change for segment U is rather 2⅔.
Option 5 is also not true. Segment R has a rate of change of 0.
Therefore, the statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
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what 550 divided by 12 and then divide the answer by 4
Answer:
550 / 12 = 45.84
45.84 / 4 = approximately 11.46
Answer: 11 11/24
Step-by-step explanation: 550/12 275/6/4/1
(275/6)(1/4)
275/24
11 11/24
Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
Answer:
23 bracelets
Step-by-step explanation:
I am assuming that we need to find how many bracelets she can make.
Each bracelet uses 4 in of string, so we would have to divide 95 by 4.
95/4 = 23.75
Salena should have enough to make 23 bracelets.
Hope this helps.
The number of bracelets will be equal to 23 bracelets.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
The number of bracelets will be calculated as
Number = 95/4
Divide the number 95 by 4,
Number = 23.75
The required number of bracelets is 23.
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a donut shop every Friday makes a total of 420 donuts on Tuesday morning to sell. Of the 420, 105 of them are plain and the rest are chocolate. If the donut shop plans to sell a total 820 donuts on Saturday morning, how many of them will be chocolate?
Solve: 4|x| = 32
–8 or 8
8
24
no solution
Answer:
-8 or 8
Step-by-step explanation:
We are given the absolute equation:
[tex]\displaystyle \large{4|x|=32}[/tex]
First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]
Absolute Value Definition
[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]
So from |x| = 8, break into two intervals/conditions.
(1) when x ≥ 0
x = 8
(2) when x < 0
-x = 8
x = -8
From (1) and (2), the solution to 4|x| = 32 is 8 or -8
y/5 = 2/5 im not sure how to complete this question
Answer: y is 2
Step-by-step explanation:
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for y ~
[tex] \sf \dfrac{y}{5} = \dfrac{2}{5} [/tex][tex] \sf y = \dfrac{2}{ \cancel5} \times \cancel5[/tex][tex] \sf y = 2[/tex]Value of y is 2
The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm.
Over what interval is the change constant?
[0, 5)
[1, 5)
[0, 20)
[1, 20)
What is the measure of <1?
What is the measure of <2?
Answer:
1) 98°
2) 65°
Step-by-step explanation:
Sum of the angles in any triangle = 180°
in first triangle the third inner angle = 180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°
The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°
Hehhhhhhhhhhhhhheh eh
A plane travelled at an average speed of 528.6 km/h on a flight. How far did the plane travel in 4.75 hours? Round off your answer to the nearest whole number.
Answer: 2,511 km
Step-by-step explanation:
5828.6*4.75 = 2,510.85 rounded to 2,511
