1101₂ + 1110₂ + 1001₂ = 100100₂
Step-by-step explanation:1101₂ = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13₁₀
1110₂ = 1×2³ + 1×2² + 1×2¹ + 0×2⁰ = 8 + 4 + 2 = 14₁₀
1001₂ = 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 8 + 1 = 9₁₀
13 + 14 + 9 = 36
36₁₀ =
36 : 2 = 18 + r 0
18 : 2 = 9 + r 0
9 : 2 = 4 + r 1
4 : 2 = 2 + r 0
2 : 2 = 1 + r 0
1 : 2 = 0 + r 1 ↑
= 100100₂
Answer:
[tex]\huge\boxed{1101_2+1110_2+1001_2=100100_2}[/tex]
Step-by-step explanation:
We know:
[tex]0_2 + 0_2 = 0_2\\0_2 + 1_2 = 1_2\\1_2 + 1_2 = 10_2[/tex]
[tex]\underline{+\begin{array}{ccc}_1\ \ \ \ \\1101\\1110\end{array}}\\.\ 11011\\\\\underline{+\begin{array}{ccc}_1\ \ _1_1 \ \\11011\\\ \ 1001\end{array}}\\.\ \ 100100\\\\[/tex]
Write and solve the sentence as an inequality.
A number minus 3 is less than -5.
Answer:
x - 3 < -5 is the inequality x < -2 is the solution
Step-by-step explanation:
x - 3 < -5
add 3
x < -2
Evaluate a(4b + c2) if a = 2, b = 5, and c = 1.
Answer:
42
Step-by-step explanation:
a = 2, b = 5, and c = 1
a*(4b + c²) = ⇒ plug in values2*(4*5 + 1²) = ⇒ solving exponents2*(20 + 1) = ⇒ parenthesis2*21 = ⇒ multiplication 42 ⇒ answerAnswer:
The answer is 42 .
Step-by-step explanation:
Here,
a = 2
b = 5
c = 1
Now,
[tex]a(4b+c^{2} )[/tex]
[tex]= 2(4 * 5 +1^{2} )[/tex]
= 2( 20 + 1 )
= 2 x 21
=42
junior traveled 420 miles in 7 hours to visit his mother. how many miles per hour did he travel
a patio in the shape of a rectangle, is fenced on all sides with 134 feet of fencing. the patio is 5 feet less wide than its long. what is the area of the patio?
Answer:
The area of the patio is 1,116 ft^2
Step-by-step explanation:
Here in this question, we are interested in calculating the area of the patio.
Mathematically, area of patio is;
length * width
Unfortunately we do not have these values. Thus we need to get this from the value of the perimeter of the fencing and the relationship between the width and the length.
Mathematically, the total length of the fencing is the perimeter of the fencing.
Now, we are also told that the patio is 5 feet less wide than it is long.
So if the length is x ft, the width is (x-5) ft
Mathematically;
the perimeter of a rectangle is;
2(l + b)
Writing this in the x terms and equating to the perimeter, we have;
2( x + x -5) = 134
divide through by 2
2x -5 = 67
2x = 67 + 5
2x = 72
x = 72/2
x = 36 ft
Thus since the length is 36 ft, the width would be x -5 = 36 -5 = 31 ft
Done? No!
The question asks to calculate the area. Let’s move these values to the initial equation of the area in the start of the question.
Thus, we have 31 * 36 = 1,116 ft^2
2) How much 64% acid solution should be mixed with 12 gallons of a 38% acid solution in order to make a 52% acid solution?
Answer: 14 gallons of the 64% acid solution is needed
============================================================
Work Shown:
x = amount, in gallons, of the 64% acid solution
0.64x = amount of pure acid from the stuff we're adding in
0.38*12 = 4.56 = amount of pure acid from 38% solution
In total, we have 0.64x+4.56 gallons of pure acid out of x+12 gallons total
Dividing the two amounts will give us the decimal form of the percentage. Set this equal to 0.52 and solve for x
-----------
(0.64x+4.56)/(x+12) = 0.52
0.64x+4.56 = 0.52(x+12)
0.64x+4.56 = 0.52x+6.24
0.64x-0.52x = 6.24-4.56
0.12x = 1.68
x = 1.68/0.12
x = 14 gallons is the amount of the 64% acid solution we need to add in
Before she went on a diet, Jenna’s waist measured 32.45 inches. After the diet, it measured 26.97 inches. How many inches did Jenna lose?
Answer:
5.48
Step-by-step explanation:
big number - little number
Answer:
5.48
Step-by-step explanation:
32.45 - 26.97
What is |3456|? Absolute Value
Answer:
It’s just 3456.
Step-by-step explanation:
Absolute value is the positive version of whatever digit you have. So if there is a positive, it would remain a positive, If it were a negative, it would be a negative
Answer:
Step-by-step explanation:
It is 3456.
The absolute value is positive 3456.
If it was |-3456| it would still be positive.
find the displacement
Answer:
55.
Step-by-step-explanation:
In a velocity/time graph like this the total displacement is the area of the body.
This is the area of (from left to right) of triangle OBF + area of the 2 rectangles + area of triangle CDE
Here this is 1/2 * 2 * 5 + 5 *4 + 5 * 4 + 1/2 * 5 * 4
= 5 + 20 + 20 + 10
= 55.
Answer:
55
Step-by-step explanation:
The displacement is the area under the line
The are comprises of
Triangle OBF + rectangle BEIF + triangle CDESo the area is:
1/2*2*5 + 5*8 + 1/2*4*5 = 55Which questions are true or false? Thank you.
Answer:
FalsetruetruefalseHope this helps!! :)
8 × p is less then 8 but greater then 0
Answer:
Step-by-step explanation:
find x.
8x + 11
12x - 1
Answer:
x = 3
Step-by-step explanation:
If T is the midpoint, that means segments ST and TU are congruent.
Step 1: Set up expression
8x + 11 = 12x - 1
Step 2: Solve
11 = 4x - 1
12 = 4x
x = 3
There are 6 buses, and each of these buses is taking 29 people to a game. Another bus is taking 9 people. How many people are these buses taking to the game?
Answer:183 people
Step-by-step explanation: 6 multiplied by 9 is 174. And if you add 9 more it equals 183
Can someone please help me with this my teacher didn’t show me how to do this
Answer:
The distance on the y-axis (not sure if thats how you say it :| ) is 8, and the distance between the x-axis (again not sure thats the correct term) is 6
im not a genius, but I hope this helps :D
(there is a gragh with the points)
the distance a jet travels varies directly as the number of hours it flies. A jet traveled 2875 miles in 5 hours. What is the constant of variation
Answer:
k = 575
Step-by-step explanation:
let d be distance and h time.
Given d varies directly as h then the equation relating them is
d = kh ← k is the constant of variation
To find k use the condition d = 2875, h = 5, then
2875 = 5k ( divide both sides by 5 )
k = 575
1-1 Relations and Functions
Given:{(-2, 3), (-1, 2), (0, 2), (-2, 9)}. Is this relation a function? Explain.
A. Yes; each domain value has exactly one range value.
B. Yes; -2 is paired with two numbers.
C. No; each domain value has exactly one range value.
O
D. No; -2 is paired with two numbers.
O
Answer:
Option D
Step-by-step explanation:
A function is a relation where each domain is assigned to exactly one range value.
In the relation given, the value of '-2' is repeated and assigned with two range numbers.
Therefore, the relation is not a function because -2 is paired with two range values.
What is the square root of 2?
Answer: 1.41421356237 in a short answer it would be 1.4
Step-by-step explanation:
Select the correct answer from each drop-down menu. The regular hexagon ABCDEF rotates 240º counterclockwise about its center to form hexagon A′B′C′D′E′F′. Point C′ of the image coincides with point of the preimage. Point D′ of the image coincides with point of the preimage.
Solution:
The point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
Explanation:
The regular hexagon have 6 corner points ABCDEF.
The complete angle about the center because it is a close figure as shown in given figure. It means the line from two consecutive vertices to the center of hexagon make an angle of because 6 lines from the vertices to the center divides the center angle in 6 equal parts.
It is given that the hexagon is rotated at counterclockwise about the center, therefore the image of vertices shifts 4 places counterclockwise.
In figure first hexagon show preimage and second hexgon shows image. From figure it is noticed that the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
therefore, the point C' of the image coincides with point E of the preimage and D' of the image coincide with the point F of the preimage.
Answer:
E = First Blank
F= Second Blank
(IREALLY NEED HELP PLEASE! <3 ) Which numbers are a distance of 3.2 units from −4 on a number line? A number line with increments of .5 with a range of 0 to negative 7.5 Select each correct answer. −7.4 −7.2 −6.3 −4.2 −3.8 −0.8
Answer:
-0.8 & -7.2
Step-by-step explanation:
Answer: -0.8 & -7.2
Step-by-step explanation:
What is the range of this data set?
A.) 43
B.) 61
C.) 96
D.) 78
Answer:
C) 96
Step-by-step explanation:
Give an odd function which of following transformations would result in an odd function
Answer: Reflection across the x-axis and Vertical stretch are the ones that return an odd function.
Step-by-step explanation:
An odd function f(x) is a function such that:
f(-x) = -f(x).
So let's analyze the options:
A) Horizontal translation.
An horizontal translation of A units to the right (A > 0) is written as:
g(x) = f(x - A)
Now, let's see if g(x) is also odd.
g(x) = f(x - A)
g(-x) = f(-x - A)
Now, f(-x - A) is equal to -f( x + A)
then:
g(-x) = f(-x - A) ≠ -g(x) = -f(x - A)
This is not an odd function.
B) Reflection over the x-axis.
When we have a point (x, y), a reflection over the x-axis changes the sign of the y-variable.
Then we have that:
g(x) = -f(x).
Then:
g(x) = -f(x)
g(-x) = -f(-x) = -(-f(x)) = f(x)
then:
g(x) = -f(x) = -g(-x)
This is an odd function.
C) Vertical stretch:
We can write a vertical stretch of factor scale A as:
g(x) = A*f(x).
Let's see if g(x) is odd:
g(-x) = A*f(-x) = A*(-f(x)) = -A*f(x) = -g(x)
this is a odd function.
C) Vertical translation:
A vertical translation of A units up (A > 0) is written as:
g(x) = f(x) + A.
Similar to the case of the horizontal translation, so it is easy to see that g(x) is not an odd function.
Drag each tile to the correct box.
Arrange the equations in order from least to greatest based on their solution.
Equation A: 5(1 – 6) + 3r =
(21 – 8)
Equation B: 2.7(5.11 + 4.9)
= 3.2 + 28.9
Equation C: 5/11x – 18)
3(21 + 7)
Equation A
Equation B
Equation C
Answer:
see below for corrections
Step-by-step explanation:
equation A: 5(1 - 6) + 3r = (21 - 8)
5(-5) + 3r = 13
-25 + 3r = 13
3r = 38
r = 12.667
equation B: 2.7(5.11 + 4.9) = 3.2 + 28.9
2.7(10.01) = 32.1
27.027 = 32.1
no solution (are you missing a variable somewhere?)
equation C: your equation does not make sense. if you fix it, i can help
Mary poppies provides childcare in her home. She charges $7 per hour per child. On Wednesday she cared for lily for 4 hours, Tommy for 6 hours, Bonnie for 3 hours, and banks for 2 hours. What was her total pay?
Answer:
If banks is a kid the answer is $105
Step-by-step explanation:
4•7=28
6•7=42
3•7=21
2•7=14
Add all those together and you get $105 but if banks isn’t a kid then the answer is $91
Choose the function for the graph below.
Answer:
I don't think that it is a function.
Why use f(x) instead of y?
Answer:
The notation "f(x)" is exactly the same thing as "y"
Step-by-step explanation:
The effect of using f(x) instead of y is that it allows us to talk about f.
If we have an equation relating X to Y then that's a relationship between rwo nimbers.
For example if you have that y=
[tex]y = {x}^{3} [/tex]
...then that means that X and Y are some numbers obeying that equation
a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the
Answer:
29 ml
Step-by-step explanation:
Vcube = 1cm×1cm×1cm = 1 cm³
1 cm³ = 1 ml
If this cube is dropped into a 28ml of water the new reading will be 29 ml.
hope this helped :)
2.1.28
Classify the polynomial as a monomial, binomial, trinomial, or none of these. Also, give the degree.
x² - 4x + 4
Choose the correct type of polynomial.
Trinomial
Monomial
Binomial
None of these
What is the degree of the polynomial?
The degree is
Answer:
Binomial, degree two
Step-by-step explanation:
It has only two x terms and the degree is determined by either the degree or power of the first variable or the highest power/degree in the whole expression
SOMEONE SMART, HELP PLS!!:)
give an example for each one pls
1) Nick buys a baseball mitt. It costs
$39.99 and the sales tax is 6.5%.
How much tax does he pay? Kate bought skis that cost $189.99.
The sales tax was 4%. What was her
total cost?
A $2.42
B $2.60
C $24.20
D $26.00
2) Kate bought skis that cost $189.99.
the sales tax was 4%
A $7.60
B $9.50
C $197.59
D $199.49
3) The Morris family went out to dinner. The bill was $63.45 and Mr. Morris wanted to leave a 15% tip. How much should the tip be?
A)$9.52
B)$9.65
C)$10.15
D)$10.30
4) Julie and her friend go out to eat after a movie. They spend a total of $28.30 and they only have enough money to leave a 4% tip. How much of a tip can they leave?
A $11.32
B $2.26
C $1.13
D $.95
5) Grave gets her haircut. it costs $30.00 for the haircut and she gives the hairdresser a 12% tip. what is Graces total cost?
A)$3.60
B)$6.30
C)33.60
D$36.30
6) The clothing Boutique is having it's winter clearance sale. A winter jacket that usually costs $49 IS marked 25% off. what is the amount of the discount ?
A) $9.80
B)$12.25
C)$14.70
D)$17.15
7) A catalog has a sale prices on jeans originally marked $55.00. They are marked down 30% How much is taken off the original price?
A)$7.50
B)$8.25
C)$15.00
D)$16.50
8) George marked $11.75 per hour. he is getting raise of 6%. What is his new pay rate ?
A)$.71
B)$.82
C)$12.46
D)$12.57
9) which of the following is not equal to the others?
16%, 4/25, .16, 5/20
(A) 6% (C) 16
(B) 4/25 (D) 5/20
(please give an example)
and tysm xo
Answer:
Step-by-step explanation:
Q1
39.99×6.5%=2.60
OPTION B
Q2
189.99×(1+4%)=197.59
OPTION C
Q3
63.45×15%=9.52
OPTION A
Q4
28.3×4%=1.13
OPTION C
Q5
30×(1+12%)=33.6
OPTION C
Q6
49×25%=12.25
OPTION B
Q7
55×30%=16.5
OPTION D
Q8
11.75×(1+6%)=12.46
OPTION C
Q9
16%=0.16
4/25=0.16
0.16=0.16
5/20=0.25 This is different from others
OPTION D
Hope this helps!! :)
Because you have lots of questions, I answered it in a simplified way.
Please tell me if you have any question or need further explanation
If u^2-c^2=36 and u-c=6, what is u+c
Answer:
u + c = 6
Step-by-step explanation:
u² - c² ← is a difference of squares and factors as
u² - c² = (u - c)(u + c) = 36 , thus
6(u + c) = 36 ( divide both sides by 6 )
u + c = 6
The function f(x) = –4x2 represents the path of a whale as it surfaces for air and dives again. Select all the observations that are true about the whale’s path. Group of answer choices
A. The domain is all real numbers x until the ocean hits the shore.
B. The range is (−∞,−4)
C. There are two points where the whale touches the surface.
D. f is decreasing for the whale's entire path.
E. The point where the whale touches the surface is a maximum.
Answer:
The correct option is;
E. The whale touches the surface at the maximum
Please find attached the whale motion diagram
Step-by-step explanation:
The given function is f(x) = -4·x²
Therefore, we have;
x, f(x)
-5, -100
-4, -64
-3, -36
-2, -16
-1, -4
0, 0
1, -4
2, -16
3, -36
4, -64
5, -100
Which is the gives the singular maximum value for f(x) at x = 0, which is the surface of the water where the whale reaches for air
The errors in the other options are
A. The domain is always real
B. The range is (-∞, 0)
C. There is only one point where the whale touches the surface at x = 0
D. The values of f(x) initially rises, hen descends as the whale moves to the surface of the water and then descends.
Answer:
E
Step-by-step explanation:
Whales dont go in the air
hope this helps
can someone pls explain this answer i dont understand the answer on the website
Answer:
x = 23
y = 157
Step-by-step explanation:
3x = x + 46 (outside angle of triangle theorem)
x + y = 180 (same side interior angles theorem)
<=>
2x = 46
x + y = 180
<=>
x = 23
y = 157