Answer:
The summands are 4 and 5. The sum is 9.
Step-by-step explanation:
In the binary system, the digits, starting at the right and moving to the left are:
1's
2's
4's
8's
etc.
100 = 0 units + 0 2's + 1 four = 0 + 0 + 4 = 4
101 = 1 unit + 0 2's + 1 4's = 1 + 0 + 4 = 5
In decimal, the addition is:
4 + 5 = 9
The summands are 4 and 5. The sum is 9.
The decimal equivalent of the sum is 9.
It is required to write decimal equivalent of the summand and sum.
Why is binary system?Positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1.It is used for representing binary quantities which can be represented by any device that has only two operating states or possible conditions.
Given:
In the binary system, the digits, starting at the right and moving to the left.
The binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2.
1's 2's 4's 8's etc.
[tex]100\\\\0*2^{0} +0*2^{1}+1*2^{2}\\\\=0+0+4\\\\=4[/tex]
[tex]101\\\\=1*2^{0} +0*2^{1} +1*2^{2} \\\\=1+0+4\\\\=5[/tex]
In decimal, the addition is:
4 + 5 = 9
∴The summands are 4 and 5.
Therefore, the decimal equivalent of the sum is 9.
Learn more about binary system here:
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Simplify this expression 9v-v
Answer:
8v
Step-by-step explanation:
WILL GIVE BRAINLIEST! 7th GRADE MATH
Answer:
Third option is the right choice.
Step-by-step explanation:
The intersection point of both lines is [tex](-2, 2)[/tex].
Area of triangle [tex]\Rightarrow 12.5 = \frac{5\times x}{2}[/tex]
[tex]\Rightarrow x=5[/tex]
This represents the height of the triangle.
So, the y-coordinate of C, will be y-coordinate of point of intersection plus height of triangle.
y = 5+2 = 7
Best Regards!
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B.7 Midpoint formula: find the midpoint 2YG
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Learn with an example
Questions
answered
A line segment has the endpoints Q(6,5) and R(4, 7). Find the coordinates of its midpoint M.
Write the coordinates as decimals or integers.
M=(
OD
0
Time
elapsed
Submit
0000
14
SmartScore
out of 100
Work it out
Answer:
5
Step-by-step explanation:
Please help urgently!
Answer:
[tex]a=-6\quad and \quad b=8[/tex]
Step-by-step explanation:
[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]
By comparing the last expression with [tex]a+b\sqrt{2}[/tex], we get:
[tex]a=-6\quad and \quad b=8[/tex]
Best Regards!
What is the value of X that makes A parallel to B? WILL GIVE BRAINLIEST!
Answer:
20
Step-by-step explanation:
To make these parallel, 2 and 5 would have to be corresponding angles, meaning that they have equal angle measure:
3x-20=x+20
3x=x+40
2x=40
x=20
Hope this helps!
Answer:
x= 20
Step-by-step explanation:
To make the lines parallel, angle 2 would equal angle 5
3x-20 = x+20
Subtract x from each side
2x -20 = 20
Add 20 to each side
2x-20 +20 = 20+20
2x = 40
Divide by 2
2x/2 = 40/2
x = 20
At a school carnival you pick a ball from two different containers. Each container has red balls and green balls. How many possible outcomes are there?
Answer:
4
Step-by-step explanation:
2^2
Answer:
4
Step-by-step explanation:
Five minutes after midnight of 25 April 2016 there was a heavy rain in Adelaide. 144 hours later, what is the probability that it would be sunny over there? Justify your answer.
Answer:
0
Step-by-step explanation:
144 h = 6 days
Six days later would be midnight on May 1.
That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.
The probability of Adelaide being sunny at midnight is zero.
.
[140
m21%
10.70
050
060
Answer:
93%
Step-by-step explanation:
caculator
Help!!! ASAP!! :3 Will Givve BRAINLIEST!!
Answer:
V = 672 cm³ (Option 3)
Step-by-step explanation:
Volume of Rectangular Prism = [tex]Length * Width * Height[/tex]
Where L = 14 cm, W = 6 cm and H = 8 cm
V = 14 * 6 * 8
V = 672 cm³
Find the total surface area of this cuboid
Answer:
76
Step-by-step explanation:
SA=2lw+2lh+2hw, to find the surface area.
i have rounded the answer up by 1 decimal place
The 3 by 3 grid below shows nine 1 cm × 1 cm 1 cm×1 cm squares and uses 24 cm 24 cm of wire. What length of wire is required for a similar 20 by 20 grid?
Answer:
Length of wire is required = 840 cm
Step-by-step explanation:
Given:
20 by 20 grid
Find:
Length of wire is required.
Computation:
We know that 20-20 grid required 21 lines.
20 cm vertical and horizontal.
⇒ Length of wire is required = (21 + 21)20 cm
⇒ Length of wire is required = (42)20 cm
⇒ Length of wire is required = 840 cm
No rush. :) I really need help on this. Thxx Explanation needed. :D
Answer:
B' (16,14)
Step-by-step explanation:
Find the coordinates of the vertex B.
M is the midpoint of the diagonal AC.
A(2,7) and C(8,1), the center has coordinates Point M which is the midpoint of the diagonal BD.
Let B has coordinates (x,y),
B(8,7).
(x,y)→(2x,2y)
B(8,7)→B'(16,14).
Answer:
(16, 14)
Step-by-step explanation:
If there was no dilation, the fourth coordinate would be (8, 7)
Dilation of 2: (2x, 2y)
(16, 14)
Will grant you brainliest :) True or false?
Answer:
The answer is true
Step-by-step explanation:
Hope this Helps!
find the area of triangle two sides of which are 8cm and 11cm and the perimeter is 32cm with Herons formula
Answer:
8√30
Step-by-step explanation:
The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:
√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements
f(4) is
f(x) = 4 when x is
4
8
2
3
11
3
NI-
Intro
Done
Answer:f(4)=1/2
f(x)=4 when x is 8
The complete statements would be as:
⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
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Please help me with this math problem, urgent please
problem decoded dude
follow meh
Answer:
(5z +2) (z+1)
Step-by-step explanation:
5z^2 +7z +2
(5z +2) (z+1)
The first term when multiplied out is 5z^2 The last term is 2
The middle term is 2z+5z = 7z so this is the correct factorization
Model the situation with the sum of polynomials. Then simplify the sum.
4. The width of a rectangle is represented by 4x, and its length is
represented by (3x + 2). Write a polynomial for the perimeter of the
rectangle
3x + 2
4x
O
Answer:
[tex]perimeter= 14\,x\,+ \,4[/tex]
Step-by-step explanation:
Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x) plus twice the length (3x+2);
[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]
To find the amount of interest Jesse will pay to borrow money, you can use the formula I = PRT. I = interest; P = principal; R = Rate; and T=time. How much interest will Jesse pay if he borrows $5,000 for 5 years with an interest rate of 8%? A. $2,000.00 B. $20,000.00 C. $200.00 D. $2,500.00
Answer: A $2000
Step-by-step explanation:
Interest = prt / 100
= 5000 x .08 x 5
= 2000
Answer:
Its A I just took the quiz
Step-by-step explanation:
Factorize 7x3 - 21x2
Answer:
[tex]7x^{2}[/tex]([tex]x[/tex]-3)
Step-by-step explanation:
[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]
[tex]7x^{2}[/tex] goes into both terms.
Divide both terms by [tex]7x^{2}[/tex].
[tex]7x^{2}[/tex]([tex]x[/tex]-3)
What type of number is -2343 a)whole number b)integer c)rational d)irrational
Answer: B and C
Step-by-step explanation:
-2343 is an integer and also a rational number since it can be expressed as a fraction.
An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.
A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour
Answer:
A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.
Step-by-step explanation:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
How many students are in the class?
Answer:
33 students.
Step-by-step explanation:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7.
4×3:7×3
12:21
12+21=33
33 students in the class, which is between 24 and 40 students in a class.
4×2:7×2
8:14
8+14=22
22 is wrong because it has to be between 24 and 40 students in a class.
4×4:7×4
16:28
16+28=44
44 is wrong because it has to be between 24 and 40 students in a class.
4×1:7×1
4:7
4+7=11
11 is wrong because it has to be between 24 and 40 students in a class.
how to solve this problem
Answer:
PR = 180 cm
Step-by-step explanation:
Given PQ : QR = 7 : 3 = 7x : 3x ( x is a multiplier )
PQ - QR = 72, substitute values
7x - 3x = 72
4x = 72 ( divide both sides by 4 )
x = 18
Thus
PR = PQ + QR = 7x + 3x = 10x = 10 × 18 = 180 cm
Answer:
180
Step-by-step explanation:
PQ:QR= 7:3
PQ-QR=72
7x- 3x= 724x= 72x= 72/4x=187x= 126, 3x= 3*18= 54PQ= 126 cm, QR= 54 cm
PR= PQ+QR= 126+54= 180 cm
Which of the following is the result of the equation below after completing the square and factoring?
Answer:
D) [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
Step-by-step explanation:
Step(i):-
Given equation
x² + 5 x + 8 = 4
⇒ [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]
Step(ii):-
By using (a + b)² = a² + 2 a b + b²
⇒ [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]
⇒ [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
Final answer:-
[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]
The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 390 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? (Clue: only enter numerals in the answer blank)
Answer:
i am not good in maths sorry the answer is 6075
Please help me with this math problem, urgent please
Answer:
(1/2) y^5
Step-by-step explanation:
1/( 2y^-5)
1/2 * 1/ y^-5
We know that 1/ a^-b = a ^ b
(1/2) y^5
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
See below
Step-by-step explanation:
When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.
The sample space is:
[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]
The sample space of the product xy of each outcome forms the required possibility diagram.
This is given as:
[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]
Can I get help with this?
Answer:
BC = 38
Step-by-step explanation:
Central Angle = Intercepted Arc
BC = 38
Solve: (8r + 9) + 7(4r + 3) ( 1 ) 2. Solve: (3f - 9) + (-7f + 4) ( 1 ) 3. Solve: -8(-g + 6) + 4(8g + 5) ( 1 ) 4. Solve: 5(2n + 3) + (4n - 7) ( 1 ) 5. Solve: 2(-4) + (-8m) ( 1 )
Answer:
1. 36r+30
2. -4f-5
3. 40g-28
4. 14n+8
5. -8-8m
Step-by-step explanation:
Solve: (8r + 9) + 7(4r + 3) ( 1 )
8r+9+28r+21
=36r+30
Solve: (3f - 9) + (-7f + 4) ( 1 )
3f-9-7f+4
= -4f-5
Solve: -8(-g + 6) + 4(8g + 5) ( 1 )
8g-48+32g+20
=40g-28
Solve: 5(2n + 3) + (4n - 7) ( 1 )
10n+15+4n-7
=14n+8
Solve: 2(-4) + (-8m) ( 1 )
= -8-8m
Match the information on the left with the appropriate equation on the right.
Answer:
See attachment below
Step-by-step explanation:
For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,
y = - 2 / 3x + 3,
y + 2 / 3x = 3,
2x + 3y = 9 - Option C
_______________________________________________________
Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.
- 1 = ( - 3 / 2 )( 4 ) + b,
b = 5,
Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,
y = - 3 / 2x + 5,
2y = - 3x + 10,
- 2y = 3x - 10 - Option A
_______________________________________________________
( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,
Slope = 3 - 1 / 6 - 3 = 2 / 3
Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,
3 = ( 2 / 3 )( 6 ) + b,
b = - 1,
y = 2 / 3x - 1 = Option D
Take a look at the attachment below for further help;