Convert decimal +61 and +27 to binary using the signed 2’s complement representation and enough digits to accommodate the numbers. Then perform the binary equivalent of (27) + (-61), (-27) + (+61), and (-27) + (-61). Convert then answers back to decimal and verify that they are correct.
Answers
Answer:
the sum is 01011000₂ = 88
Step-by-step explanation:
For numbers of magnitude less than 128, it is convenient to use an 8-bit representation. I find it works will to convert back and forth through the octal (base-8) representation, as each base-8 digit converts nicely to three (3) base-2 bits.
61 = 8·7 +5 = 075₈ = 00 111 101₂
27 = 8·3 +3 = 033₈ = 00 011 011₂
Then ...
\(\begin{array}{cc|ccc}&61&&00111101\\+&27&+&00011011\\ &\overline{88}&&\overline{01011000}\end{array}\)
__
Starting from the right, we can convert the binary back to octal, then to decimal by considering 3 bits at a time:
01 011 000₂ = 130₈ = 1·8² +3·8 +0 = 64 +24 = 88
The binary sum is the same as the decimal sum.
Related Questions
PLEASE HELPPPP!!!????!!?
Answers
Answer:
I might be wrong but I think it is c
Step-by-step explanation:
What is the volume of the cone below?
27
OA. 216 units³
B. 432 units3
units3
OC. 144
OD. 108 units³
Answers
The volume of the cone is 144π units³.
How to find volume of a cone?The volume of a cone can be calculated as follows:
volume of a cone = 1 / 3 πr²h
where
r = radius of the coneh = height of the cone.Therefore, the height of the cone is 27 units and the radius of the cone is given as 4 units.
Let's find the volume using the formula,
r = 4 units
h = 27 units
Therefore,
volume of a cone = 1 / 3 πr²h
volume of a cone = 1 / 3 × π × 4² × 27
volume of a cone = 1 / 3 × π × 16 × 27
volume of a cone = 432 / 3 π
Therefore,
volume of a cone = 144π
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please help me this is due today!! it’s number 6
what is the length of AB
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(I think the first one is easier to understand; but obviously it’s the way to prove solution 2)
Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
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The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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On a coordinate plane, how are the locations of the points (3, -7) and (-3, 7) related?
Answers
Help me out thanks !!!!!!
Answers
Answer:
a = 12
Step-by-step explanation:
as C^2 = A^2 + B^2
by Pythagoras theorem
so
A^2 = C^2 - B^2
= 13^2 - 5^2
= 169- 25
144
as 12^2 is equal to 144
hence side a is equal to 12
Answer:
\(h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12\)
Select all the rules for the translation of LaTeX: \Delta RSTΔ R S T.
Triangle SRT and transformed image
Group of answer choices
T
T
T
7 units down; 3 units right
7 units right; 3 units down
Answers
rasa urrerStep-by-step explanation:
Anything helps :) thank you
Answers
Answer:
the first one is (23)
number 7 is ( 34.069)
Step-by-step explanation:
Given 2 lines cut by a transversal, what would the m<7 have to be if m <4=85 for the lines to be parallel and what is the relationship between <7 and <4
Answers
Answer:
85º
Step-by-step explanation:
<7=<4 since we know the lines are parallel, and intersected at the same angle
Therefore, <7=85º.
Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
Answers
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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What’s the end behavior
Answers
Answer:
First choice
Step-by-step explanation:
Looking at the graph, as the line gets further to the right (positive x, also displayed as x-> infinity) the line continues downwards in the y (vertical) direction
Looking at the graph, as the line gets further to the left (negative x, also displayed as x-> -infinity) the line continues downwards in the y (vertical) direction
Thus, the end behavior is -infinity for both ends
A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answers
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
F
Question 10
A ball is thrown in the air. Its height, h (in meters), is given
by h = -4.9t^2+30 +6, where is the time (in seconds).
What is the height of the ball at the instant it is thrown
Answers
Answer:
the answer is simple
Step-by-step explanation:
\dfrac13m-1-\dfrac12n
3
1
m−1−
2
1
n
Answers
Answer:
hard work lol
Step-by-step explanation:Lol
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answers
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
I need help please please please
Answers
Answer:
$28
Step-by-step explanation:
5.5% is $1.54 of what number? (%/100= is/of)
5.5/100 = 1.54/X
X = (1.54 * 100) / 5.5 = $28
Answer:
sus
Step-by-step explanation:
O_O
What is the approximate value of θ if tan θ = 7/9
Answers
Answer:
37.9°-----------------------
Taking the inverse tangent (arctan) of the given ratio 7/9.
Use a calculator or trigonometric table to find:
θ ≈ arctan(7/9)The approximate value of θ is 37.9°.
Convert the following into scientific notation:
70.2 = _____ x 10 ____
Answers
Answer:
7.02 x 10^1
Step-by-step explanation:
Answer:
7.02 * 10^1
Step-by-step explanation:
Solve the following formula for the indicated variable.P = 21 + 2w; solve for 1Answerl =
Answers
Given P = 2l + 2w
subtracting 2w from both sides
P - 2w = 2l
Dividing both sides by 2;
\(l=\frac{P-2w}{2}\)Gabby has five bags of beads. Each bag has the same proportion of blue beads (x) to red beads (y). The table shows the numbers of beads in five bags. What is the constant of proportionality of red beads to blue beads?
Answers
The constant of proportionality of red beads to blue beads is 2/3
The constant of proportionality of red beads to blue beadsThis refers to the Fixed ratio of Gabby's blue beads to red beads in the 5 bags. In order words, the constant of proportionality describes a ratio is which is does not change as it is fixed
Now, carefully follows my explanation below:
The constant of proportionality is represented by kThe number of bags of beads Gabby has = 5 bagsThe blue beads = xThe red beads = yThen it goes further as thus:
Blue : Red = 32 : 48
= 32/48
= 4/6
= 2/3
Blue : Red = 48 : 72
= 48 : 72
= 2 / 3
Blue : Red = 60 : 90
= 2 / 3
So therefore, from the solution which I have provided above, it can be concluded that the constant of proportionality of the red beads to blue beads is 2/3.
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Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Answers
Answer:
(4,8) x=4/y=8
Step-by-step explanation:
the four is the x line and the 8 the y line.
4 laying down line to the right (positive four)
8 straight up line top(positive 8)
Triangle MNO and triangle PQR are shown on the coordinate plane.
R
Q
P
321
11
10
9
8
7
6
10
D
3
2
-
M
-14-13-12-11-10-9-8-7-6-5-4-3-2-10 1 2
OF NOT
-2
N
N
3
O
x↑
4 5
What sequence of transformations proves AMNO APQR?
OAMNO was dilated by a factor of 3 about the origin, then reflected across the x-axis to form APQR.
OAMNO was dilated by a factor of 3 about from the origin, then reflected across the y-axis to form APQR.
OAMNO was dilated by a factor of 4 about the origin, then rotated 180° clockwise about the origin to form APQR
OAMNO was dilated by a factor of 4 about the origin, then translated left 7 units to form APQR
Answers
The correct sequence of transformations that proves AMNO and APQR are congruent is: OAMNO was dilated by a factor of 3 about the origin, then reflected across the y-axis to form APQR.
The sequence of transformations proves AMNO APQRThe correct sequence of transformations that proves AMNO and APQR are congruent is:
OAMNO was dilated by a factor of 3 about the origin, then reflected across the y-axis to form APQR.
To see why, let's examine the properties of the two triangles:
Triangle MNO has vertices at (-2,-1), (-2,4), and (3,1).
Triangle PQR has vertices at (-6,-3), (-6,12), and (9,3).
If we dilate triangle MNO by a factor of 3 about the origin, we get a new triangle with vertices at (-6,-3), (-6,12), and (9,3). This is because each coordinate of MNO is multiplied by 3:
(-2,-1) -> (-6,-3)
(-2,4) -> (-6,12)
(3,1) -> (9,3)
If we reflect this new triangle across the y-axis, we get a new triangle with vertices at (6,-3), (6,12), and (-9,3). This is because the x-coordinates of each point are negated:
(-6,-3) -> (6,-3)
(-6,12) -> (6,12)
(9,3) -> (-9,3)
This final triangle, with vertices at (6,-3), (6,12), and (-9,3), is congruent to triangle PQR. Therefore, we have shown that AMNO and APQR are congruent.
This theorem relates to theorems previously studied in the sense that it involves transformations of geometric shapes, which is a fundamental concept in geometry. In real-world applications, these transformations can be used in computer graphics, architecture, and engineering, among other fields, to manipulate and analyze shapes and structures.
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there is a box that contains a $50 bill, two $20 bills, three $10 bills and four $1 bills. If a bill is picked at random, what is the expected value?
Answers
One of the ten bills
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%
Answers
The shaded area is 9 parts of 10. so:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Step-by-step explanation:
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
Answers
To reflect a point across the line y=3, we find the point that is the same distance from y=3 as the original point, but on the opposite side of the line. In this case, the original point is B(−4,−6), which is 9 units below y=3. The image point will be 9 units above y=3, so it will have a y-coordinate of 3+9=12. The x-coordinate remains the same, so the image point is B
′
(−4,12).
You deposit $300 in an account that earns simple interest at an annual rate of 6.5%.
If no other deposits or withdrawals were made, what is the total amount of money in the account at the end of 8 years?
Answers
Total amount of money in the account will be $456.
How much money will be in the account after 8 years?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.
The formula for simple interest is: Simple Interest = Principal × Rate × Time
Principal (P) is $300
Rate (R) is 6.5%
Time (T) is 8 years.
Simple Interest = $300 × 0.065 × 8
Simple Interest = $156
Total Amount = Principal + Simple Interest
Total Amount = $300 + $156
Total Amount = $456.
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Which of the following equations expresses the relationship between x and y in the table below ?
Answers
explanation : if you substitute the x in the equation for 0 and the y for 5 then solve/simplify. if you’re still not sure you can try the next one and substitute x for 2 and y for 11. you’ll see that y and x will equal each other. hope this helps:)
Answer:
y = 3x + 5
Step-by-step explanation:
just by going through the options and plugging in values from the chart, you can guess and check
y = 3x + 5 is the only answer that works
5 = 0 + 5
11 = 6 + 5
23 = 18 + 5
etc.
hope this helps!
What is Jane's hourly rate? * (1 Point) HAMBURGER PALACE ENTERPRISES, INC. PAYROLL ENDING 3/14/09 NAME JANE BROWN EMPLOYEE NO. L4325 EARNINGS Description Hrs. Amount Tax Regular CURRENT YTD 20 120.00 120.00 1650.00 CHECK NO. 9343 Medicare AMOUNT $87.50 TAXES WITHHELD Fed Income Tax Social Sec State Income Tax Current YTD Description 12.72 174.90 MEALS 7.44 102.30 1.74 3.60 23.93 OTHER DEDUCTIONS 49.50 Amount 7.00
Answers
So, Jane's hourly rate is $6.00 per hour.
What is division?In mathematics, division is a basic arithmetic operation that involves splitting a number or quantity into equal parts or groups. It is the inverse operation of multiplication, where we find out how many times one number (the divisor) can fit into another number (the dividend) without leaving any remainder.
Here,
However, we can calculate her hourly rate by dividing her total earnings by the number of hours she worked.
From the payroll information provided, Jane earned $120.00 for 20 hours of work. Therefore, her hourly rate would be:
Hourly rate = Total earnings / Number of hours worked
Hourly rate = $120.00 / 20 hours
Hourly rate = $6.00 per hour
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a team of 15 workers cad do a job in 7 hours. How long would this work take if the team has 35 people?
Answers
Answer:
3 hours
Step-by-step explanation:
15 workers * 7 hours = 105 worker hours
105 worker hours / 35 workers = 3 hours
The triangle above has the following measures.
s = 29 m
r= 63 m
Find the m/Q.
Round to the nearest tenth and include correct units.
Show all your work.
Answers
The value of m∠Q as shown in the right-angled triangle below is 62.59°.
The Formula used is:
m∠Q = cos⁻¹(s/r)........................ (1)
Where:
s = 29 m
r = 63 m
Now, Substitute these values into equation 1
m∠Q = cos⁻¹(29/63)
m∠Q = cos⁻¹(0.46)
m∠Q = 62.59°
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