1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰
1100 1011₂ = 128 + 64 + 8 + 2 + 1
1100 1011₂ = 203
The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form
Answer:
11 and -4
Step-by-step explanation:
Let the required two numbers be x and y
If the sum of two numbers is 7, then
x + y = 7 .. 1
If the difference of their squares is 105, then;
x² - y² = 105 ...2
From 1;
x = 7 - y... 3
Substitute 3 into 2;
(7-y)² - y² = 105
Expand
49-14y+y² -y² = 105
49-14y = 105
-14y = 105 - 49
-14y = 56
y = -56/14
y = -4
Substitute y = -4 into 3
x = 7 - y... 3
x = 7 - (-4)
x = 7+4
x = 11
Hence the numbers are 11 and -4
Find the median of the data in the dot plot below.
Answer:
The answer is 25.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Answer:
25
Step-by-step explanation:
All the data values from least to greatest:
20, 23, 23, 25, 25, 27, 27, 27, 28
Since the data values are odd, the middle value is the median:
25
Help pls! I need help to finish :(
No Links!
Find the value of each trigonometric ratio. Simplify if possible.
Answer:
15/8
Step-by-step explanation:
opp/adj=30/16=15/8
A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answer:
the length will be 9cm because a square has equal sides it not the same as the rectangle
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
To the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip?
Answer: $16.60
Step-by-step explanation:
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
total: 16.60
The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip $16.60
We have given that,
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.
What is the formula for the total money?Total money=price + tax
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
Total money =16.60
To learn more about the money visit:
https://brainly.com/question/25711082
#SPJ2
The brick fire ring measures sixteen feet across the center. What is the circumference of the fire ring to
the nearest tenth?
Plan:
Calculations:
Answer:
50.3 ft
Step-by-step explanation:
circumference = 2nr
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = 16/2 = 8
2 x 22/7 x 8 = 50.3ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 3.470 in., and use a class width of 0.010 in. The screws were labeled as having a length of 3 1/2 in
Answer:
Answer:
A) Total frequency = 30
B) Yes, the distribution is consistent with the label because the frequencies are greatest when the lengths are closest to the labeled size of 1/2 inches which is 0.5 inches.
Step-by-step explanation:
Since the class limit width is 0.010 from the question, we arrive at;
Class Limits Frequency
Length(Inches)
0.470 - 0.479 3
0.480 - 0. 489 5
0.490 - 0.499 9
0.500 - 0.509 12
0.510 - 0.519 1
Following is the frequency distribution table:
How to build a frequency table?The lower limit is given as 3.470 inches.
The upper limit is 3.500 inches.
And the width of each class is 0.010 inches.
Therefore, the intervals will be:
3.470-3.480
3.480-3.490
3.490-3.500
To know more about frequency tables problems refer:
https://brainly.com/question/16148316
#SPJ2
Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation
Answer:
2, 1 and -3
Step-by-step explanation:
Given the quadratic expression
x^2+2x = 3
Write in standard format
x^2+2x-3 = 0
Get the value of a, b and c
The standard form is ax^2+bx+c = 0
ax^2 = x^2
a = 1
bx = 2x
b = 2
c = -3
Substitute into the general formula
x = -b±√b²-4ac/2a
x = -2±√(2)² - 4(1)(-3)/2(1)
The correct values are the values in bold format
Orphia bought a coffee table for $200. The sales tax on the purchase was $19. Find the sales tax rate (in %).
Answer:
9.5%
Step-by-step explanation:
19/200=.095 or 9.5%
Please help I have a lot of other due assignments and I don’t have Time and paper thx:)
Median: 69
First Quartile: 65.5
Third Quartile: 73
Interquartile Range: 7.5
Step-by-step explanation:
First, put all of the numbers in order.
63, 64, 67, 68, 70, 72, 74, 76.
Median
For the median, it is the center of the data set.
To find the median of this data set, add 68, and 70, then divide by 2.
The Median is 69.
First Quartile
To find the first quartile, find the range below the median (63-68).
Find the median of that range.
Add 64 & 67 together, then divide by 2.
The first quartile = 65.5
Third Quartile
Do the same as the first quartile, but do it with the range above the median (70-76).
Add 72 & 74 together, then divide by 2.
The third quartile = 73.
Interquartile Range
Now, take the first and third quartile, and subtract.
[tex]73-65.5=IR[/tex]
[tex]7.5 = IR[/tex]
The interquartile range is 7.5.
can someone help me on this?
Answer:
Step-by-step explanation:
if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x
Answer:
x = 5.
Step-by-step explanation:
The area of a rectangle can be determined by the following formula.
A = l ⋅ w
l stands for length or the longer side.
w stands for width or the shorter side.
Now, we can plug the values we are given into the equation.
A = ( x − 2 ) ⋅ ( x + 8 )
The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.
A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16
Now, we can plug in the given value for the area.
39 = x 2 + 6 x − 16
Next, we simplify by moving all terms to one side and factor the equation.
0 = x 2 + 6 x − 55
Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.
0= ( x − 5 ) ⋅ ( x + 11 )
If the equation ultimately equals zero, either ( x − 5 ) or ( x + 11 ) or both equal zero. Therefore, we set each equal to zero to find the value of
x .
x − 5 = 0 x = 5 x + 11 = 0
x = − 11
Since x is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.
12+98=
really confused on this one
Answer:
12+98=110
Step-by-step explanation:
63/4 divided by 41/2
Answer:
63/328
Step-by-step explanation:
I need help please ?!!!!
Answer:
multiplication
Step-by-step explanation:
The inverse of division is multiplication
The inverse of addition is subtraction
The inverse of multiplication is division
The inverse of subtraction is division
Drag each equation to the value that makes it true.
Answer:
5h=60 needs to go in the last one
Step-by-step explanation:
can some one please help me? i will give brainlist!
This is a factorable polynominal with GCF:
5x^2y + 6x^2y^3 - 3x^2y^2
what are it's two other equivalent forms?
show how you got the answers so i can better understand how to do it
x^(2)y (6y^(2)-3y+5)
Find the prime factors of each term in order to find the greatest common factor (GCF).
Brainliest or a thank you please! sorry im wrong :(
Convert grams (g) and milligrams (mg) to grams.
Answer:
1mg= 1000g
Step-by-step explanation:
1000 grams makes up 1miligram
The top of a coin has a radius of 2 cm.
What is the area of the top of the coin?
4π cm²
2π cm²
4 cm²
2 cm²
Answer:
I think is 2cm if I’m wrong plz correct me
Step-by-step explanation:
I’m guessing so no work
I need help figuring out the input and output and I have been struggling with it so muchh!!
Answer:
4=4
5=9
Step-by-step explanation:
HALP!!!!!!!!!!!!!!!!!!
If a quadratic function has roots 2 and -7, what are the factors of the function?
Find the next two numbers in the following sequence. List the very next missing
number in Blank 1, and then list the second missing number in Blank 2.
1,4, 16, 64, _, _
Answer:
256,781
Step-by-step explanation:
Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given sequence is
[tex]1,4, 16, 64, -,-,[/tex]
So,
[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]
Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].
To know more about the sequence
https://brainly.com/question/1293486
#SPJ2
I need help please? :(
Answer:
C
Step-by-step explanation:
Find the arc length????????
Answer:
don't believe the other guy he is a scaming bot don't click the link
Find 50% of 152:
Find 25% of 152:
Find 75% of 152:
Answer:
76
38
114
Step-by-step explanation:
50% of 152
= ( 50 / 100 ) x 152
= ( 1 / 2 ) x 152
= 152 / 2
= 76
25% of 152
= ( 25 / 100 ) x 152
= ( 1 / 4 ) x 152
= 152 / 4
= 38
75% of 152
= ( 75 / 100 ) x 152
= ( 3 / 4 ) x 152
= ( 3 x 152 ) / 4
= 3 x 38
= 114
Bought rings at 5$ each and bracelets at 8$ each, he bought 19 total items and spent $131. How many rings and bracelets were bought?
Answer:
Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...
Occupation: Engraver, inventor, and printer
Born: Johannes Gensfleisch zur Laden zum G...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
People also ask
Step-by-step explanation:
What is 2+2???? very hard question I know that's why I need help.
Answer:
4
Step-by-step explanation:
Answer:
yes to get this answer u need to use ur brain
take 2 and 2
then see how many are there in all so it's 4
So u should mark me as brainlist
WHAT IS THE AREAAAA HEELLPPPP!!!!
Answer:
D , i think.
pir^2 = 100pi
100pi/8 is about 13 pi
13 pi is about 39
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a
table. Determine how many dots are above each data value in a line plot of this data.
Weights of Potatoes (in pounds)
5
8
8
2
5
1
1
3
2
2
4
1
3
1
8
4
2
1
3
3
2
4
8
The value will have
1
dots above it.
1
dots above it.
The value will have
The value will have
3
dots above it.
The value will have
2
dots above it.
Answer:
The value
1
8
will have
1
dots above it.
The value
1
4
will have
2
dots above it.
The value
3
8
will have
3
dots above it.
The value
1
2
will have
5
dots above it.
The value
5
8
will have
2
dots above it.
The value
3
4
will have
3
dots above it.
Step-by-step explanation:
I took the test