The hexadecimal representation for the given question is 1. 0xAD 2. 0x27 and the decimal representation of the given question is 1. 10001110 2. 01011100
What do you mean by the term hexadecimal?The hexadecimal numeral system, usually known as base 16 or just "hex," is a positional numeral system used in mathematics and computing that uses the radix (base) of 16 to represent integers. Hexadecimal uses 16 different symbols as opposed to the decimal system's 10 symbols, with the most common being "0"-"9 to represent values 0 to 9 and "A"-"F" (or alternatively "a"-"f") to represent values 10 to 15. Hexadecimal numbers are frequently used by software engineers and system designers because they offer a human-friendly representation of binary-coded data. For example, an 8-bit byte might have values ranging from 00000000 to 11111111 in binary form, which can be succinctly represented as 00 to FF in hexadecimal. Each hexadecimal digit represents four bits (binary digits), often known as a nibble (or nybble).
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james scored 182 points while playing a video game. he scored 7 times as many points as jada scored.how many points did jada score?
The points jada score is 159.25.
Given that james scored 182 points while playing a video game and he scored 7 times as many points as jada scored.
Let x be the points scored by james and y be the points scored by jada.
The total points scored by james and jada is 182 points.
x+y=182 .....(1)
James scored 7 times many points as jada scored.
y=7x .....(2)
So, there are two equations and two unkowns.
Firstly, we will substitute equation (2) in equation (1), we get
x+7x=182
8x=182
Divide both sides by 8, we get
8x/8=182/8
x=22.75
Further, we will substitute the value of x in equation (2), we get
y=7×22.75
y=159.25
Hence, the jada score 159.25 when james scored 182 points while playing a video game and ahe scored 7 times as many points as jada scored.
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Desi is about to dilate ABC by multiplying each coordinate by d.
1.) If d>l what happens to the shape?
a. The shape is enlarged.
b. The shape is reduced.
c. The shape will be congruent.
d Not enough information.
Write the equation of the circle and find
the center and radius
16 + x2 + y2 - 8x - y = 0
Answer:
center: (4,1/2)
radius: .5
Step-by-step explanation:
Group the x and y variables and move the constant (16) to the other side
(x²-8x)+(y²-y)= -16
We need to do something called "completing the square" we do this by taking the b term, dividing it by two and then squaring it
so for (x²-8x) we would take (8/2)² and then add that to both sides we have
(x²-8x+16)+(y²-y+.25)= -16+16+.25
next, we need to factor the x and y groups
(x-4)²+(y-.5)²= .25
Now that we have our equation we can easily find the center and radius
the center is just the constant's sign flipped or (4,.5) and the radius is the square root of the constant on the other side or √.25= .5
Assuming that a and b are both non-zero, find the inverse of the matrix
\(\left[\begin{array}{ccc}a&0\\0&b\end{array}\right]\)
The inverse of the matrix is A⁻¹ = 1/(ab) [0 1/b] assuming that a and b are both non-zero.
What is matrix?A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are used in mathematics, science, engineering, computer graphics, and many other fields to represent and manipulate sets of numbers or other data. A matrix is usually denoted by a capital letter, such as A, and its entries or elements are denoted by lowercase letters with subscripts, such as aij, where i denotes the row number and j denotes the column number.
Here,
To find the inverse of the matrix [a 0; 0 b], where a and b are non-zero, we can use the formula for the inverse of a 2x2 matrix:
[d -b]
1/det(A) * [-c a]
where A is the matrix we want to invert, det(A) is the determinant of A, and a, b, c, and d are the elements of A.
[a 0]
A = [0 b]
det(A) = (a * b) - (0 * 0)
= ab
So the inverse of A is:
[d -b]
A⁻¹= 1/det(A)[-c a]
where d = 1/a and a = 1/b:
[1/a 0]
A⁻¹ = 1/(ab) [0 1/b]
Thus, the inverse of the matrix [a 0; 0 b] is:
[1/a 0]
A⁻¹ = 1/(ab) [0 1/b]
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a psychologist is interested in the social interactions of preschool children. she measures the number of verbal interactions that each child at a preschool engages in during a day. here is the frequency distribution of the data. class interval frequency 96-105 5 86-95 4 76-85 6 66-75 7 56-65 10 46-55 4 36-45 3 26-35 3 16-25 2 6-15 1 refer to preschool children. the 50th percentile point is . a 65.00 b 65.50 c 62.15 d 74.00
The 50th percentile point for the social interactions of preschool children is 65.
To find the 50th percentile point, we need to calculate the median of the data. The median is the value that separates the lower half of the data from the upper half. To calculate the median, we first need to arrange the data in order and then find the middle value.
In this case, we have a frequency distribution, so we first need to convert it into a cumulative frequency distribution. The cumulative frequency is the total frequency of all the classes up to a given class. After converting the frequency distribution into a cumulative frequency distribution, we can find the median by using the formula:
Median = (Lower class limit of the median class) + (N/2 - Cumulative frequency of the class preceding the median class) / Frequency of the median class * Class widthM = L1 + (N/2 - Cf) / Fm *cwWhere N is the total number of data values, and Class width is the difference between the upper and lower class limits of a given class.
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What is an equivalent fraction to 6/14
Answer:
3/7
Step-by-step explanation:
Answer:
0.429 and 3/7
Explanation:
I need help solving this quick pleaseeeeeee
Answer:
Step-by-step explanation:
angle 1 and angle 2 add to 180 degree because they are supplementary angel and in supplementary angle sum of two angles is 180 degree
angle 1 and angle 3 is equal as they are vetically opposite angles and vertically opposite angles are always equal.
angle 3 and 4 add to 180 degree because they are supplementary angle and in supplementary angle sum of two angles id 180 degree.
angle 2 and angle 4 are equal because they are vertically opposite angles and vertically opposite angles are always equal.
A, C and D are points on a circle of radius 4 cm, centre O. BA and BC are tangents to the circle. 4 cm, OB = 10 cm D O 4 cm Work out the length of arc ADC. Give your answer correct to 3 significant figures. B
Without cos, please and thank you!
By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.
How to determine the arc of a system formed by a circle and two symmetrical right triangles
Since AB and BC are tangent to the circle, then the triangles OAB and OBC are right angled. We can determine the measure of the angle AOC by using the following inverse trigonometric reason and Pythagorean theorem:
\(\theta = 2\cdot \tan^{-1}\left(\frac{\sqrt{10^{2}-4^{2}}}{4} \right)\)
θ ≈ 132.844°
And the measure of the arc ADC is found by the formula for the length of a circle arc:
s = θ · r (1)
Where:
θ - Central angle, in radiansr - Radius, in centimeterss = (2π - 132.844π/180) · (4 cm)
s ≈ 15.858 cm
By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.
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How to solve the quadratic inequality, x² + 2x - 8 ≥ 0
The values of x in the quadratic inequality are x ≥ -4 and x ≥ 2
What are inequalities?This is referred to as a mathematical relation that makes the use of a non-equal comparison for two numbers, sometimes it also uses a number line based on the sizes of the numbers for this comparison.
Some of the inequalities symbols are:
Symbol Meaning
> Greater than≥ Greater than or equal to< Less than≤ Less than or equal toGiven the quadratic inequality;
x² + 2x - 8 ≥ 0
We have to determine the value(s) for x
Using factorization, we have to determine the pair factors of -8 that sums up to 2, they are 4 and -2
Substitute the values into the expression
x² + 4x - 2x - 8
Factor out the common terms
x(x + 4) - 2( x + 4)
We then have;
(x + 4) ( x -2) ≥ 0
The values for x are;
x + 4 ≥ 0
x ≥ -4
And
x - 2 ≥ 0
x ≥ 2
Thus, the values of x in the quadratic inequality are x ≥ -4 and x ≥ 2
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what is the major restriction in linear regression forecasting?
Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.
The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.
The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.
The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.
Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.
Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.
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Ms. Zerngast’s favorite candy is a snickers bar. It costs 7.80$ for 6 large snickers candy bars. She likes to buy them at our local center market. How many candy bars can Ms.Zerngast buy for $18.20
Answer:
14 bars
Step-by-step explanation:
Mark me brainliest plz
7.5% of the grade has green eyes if there are 120 students in the grade how many dont have green eyes
Answer:
Step-by-step explanation:
If 7.5 % has green eyes, then 92.5% (the complement given by 100%-7.5%) dont have green eyes. 92.5% of 120 is given by
0.925*(120)=111
111 students in the grade dont have green eyes.
Can the triangles be proven similar and how
Answer:
yes
Step-by-step explanation:
A car with 16 gallons of gas drives 416 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.
Drag the factors to the correct locations on the image.
Each factor can be used more than once, but not all factors will be used. What is the factored form of this expression? x3 - 6x2 - 9x + 54
Tiles go here
( )( )( )
Tile options:
x - 6
x - 9
x + 9
x - 3
x + 3
x + 6
Answer: x-6, x+3, x-3
Step-by-step explanation;
Split the equation into two.
x2(x-6)-9(x-6)
(x-6) is seen as one of the tiles. Now work on x2-9
x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).
Find the absolute maximum value and the absolute minimum value, if any, of X F(x) = 81 + x2 maximum 1 18 minimum :
The absolute maximum value is 685 and the absolute minimum value is 82.
Find the maximum and minimum value of X F(x) = 81 + x2?The given function is f(x) = 81 + x² defined on the interval [1, 18].
To find the absolute maximum and minimum values of the function on this interval, we need to find the critical points and the endpoints.
Firstly, we take the derivative of the function:
f'(x) = 2x
Setting f'(x) = 0, we get x = 0, which is not in the interval [1, 18]. Therefore, there are no critical points.
Next, we check the endpoints:
f(1) = 82
f(18) = 685
The absolute maximum value is 685 and the absolute minimum value is 82.
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Somebody answer this for me
your right its that one
Answer:
its d and e
Step-by-step explanation:
subtraction (must show work) 1. d - 27 = 45 2. h - 114 = 28
3. - 4 + x = 15 4. 4. -39 + g = 72
Answer:
Step-by-step explanation:
1.
d - 27 = 45
add 27
d = 72
2.
h - 114 = 28
add 114
h = 142
3.
-4 + x = 15
add 4
x = 19
4.
-39 + g = 72
add 39
g = 111
are lines p and a parallel?
Answer:
yeah
Step-by-step explanation:
what is -3(4x-8) = -36
Answer:
x = 5
Step-by-step explanation:
-3(4x-8) = -36
Divide each side by -3
-3/-3(4x-8) = -36 /-3
4x-8 = 12
Add 8 to each side
4x-8+8 = 12+8
4x = 20
Divide each side by 4
4x/4 = 20/4
x = 5
Steps to solve:
-3(4x - 8) = -36
~Distribute
(-3 * 4x) + (-3 * -8) = -36
~Simplify
-12x + 24 = -36
~Subtract 24 to both sides
-12x + 24 - 24 = -36 - 24
~Simplify
-12x = -60
~Divide -12 to both sides
-12x/-12 = -60/-12
~Simplify
x = 5
Best of Luck!
The physics department of a college has 10 male professors, 7 female professors, 13 male teaching assistants, and 9 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female. (Input you answer as a decimal to four decimal places. )
The probability that the selected person is a teaching assistant or a female is 29.
What is the probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Here, we have
Given: The physics department of a college has 10 male professors, 7 female professors, 13 male teaching assistants, and 9 female teaching assistants.
We have to find the probability that the selected person is a teaching assistant or a female.
N(A OR B) = N(A) + N(B) - N(A AND B)
N(teaching assistant) = 13 + 9 = 22
N(females) = 7 + 9 = 16
N(teaching assistant and female) = 9
N(teaching assistant OR female) = N(teaching assistant) + N(females) - N(teaching assistant AND female)
N(teaching assistant OR female) = 22 + 16 - 9
N(teaching assistant OR female) = 29
Hence, the probability that the selected person is a teaching assistant or a female is 29.
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Find the volume of the rectangular prism.
The volume of the rectangular prism is
meters cubed. fill in the blank
Answer:
I think 8
Step-by-step explanation:
Btw love your pfp tell meh if it’s wrong I’ll try and fix it
Answer:
5/18 m
Step-by-step explanation:
You are going to multiply length x width x Height
5/6 x 1/2 x 2/3
What is the difference between -4 and 6?
-10
-2
2
10
Answer:
the answer is 10
Step-by-step explanation:
*please give me brainliest, i only need four more*
Answer:
-10
I did the math
(-4)-6
Function k is a continuous quadratic function that includes the ordered pairs shown in the table.
Over which interval of the domain is the function increasing?
i didnt mean to click B btw
Answer:
B
Step-by-step explanation:
It appears to be B because this quadratic function faces down (-ax^2) and the vertex or highest point of this function is when x=1. Thus, the interval of the domain that the function increases must be from negative infinity to 1, giving the answer B.
Find the interval in which the function is positive.
f(x)=x²-7x + 10
1. (-∞0, 2)
II. (2,5)
III. (5,00)
O I, II
O I, III
O II, III
O II only
Answer:
(b) I, III
Step-by-step explanation:
The correct answer can be chosen based on your knowledge of the shape of the graph of f(x).
General shapeThe leading coefficient of this quadratic function being positive tells you the graph will be a parabola that opens upward. The left branch of the parabola will extend to positive infinity, as will the right branch.
If there are x-intercepts, the x-values between those will be where the graph has crossed the x-axis and function values are negative.
Specific shapeThe answer choices suggest that x=2 and x=5 are x-intercepts of the function's graph. These can be checked, if you like, by evaluating f(2) and f(5).
f(2) = 2² -7·2 +10 = 4 -14 +10 = 0
f(5) = 5² -7·5 +10 = 25 -35 +10 = 0
This means the function will be positive for x < 2 and for x > 5. These intervals are described by I and III.
pins each cost £1.10
1000 pins are sold
35% of the pins are donated to charity
the rest are sold: 60% are sold for £3
40% are sold are sold £5 for 2
work out the percentage profit the company should make
The profit is £1,370. Then the percentage profit of the company will be 124.54%.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
The number of pins left after the donation to charity is given as,
⇒ (1 - 0.35) x 1,000
⇒ 0.65 x 1,000
⇒ 650 pins
The selling price when 60% are sold for £3 and 40% are sold for £5 is given as,
Selling price = 0.60 x 650 x £3 + 0.40 x 650 x £5
Selling price = £1,170 + £1,300
Selling price = £2,470
The cost price is given as,
Cost price = £1.10 x 1,000
Cost price = £1,100
The profit is given as,
P = £2,470 - £1,100
P = £1,370
Then the percent of profit is given as,
P = [(£1,370) / £1,100] x 100
P = 124.54%
The profit is £1,370. Then the percentage profit of the company will be 124.54%.
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if the equation y=1/160x^2 models a solar cooker, how many inches from the vertex (0,0) should the bracket be placed
The bracket should be placed 40 inches away from the vertex (0,0) looking at the equation y=1/160x^2 models a solar cooker.
How do you solve the inches looking at the equation y=1/160x^2?The equation with a vertex is : y = ax²
We know that the focus of a parabola is normally at the point (h, k + p), where (h, k) is the vertex of the parabola and 'p' is the distance between the vertex and the focus.
Since the vertex at the origin is (0,0), the parabolic equation then becomes;
y = (1/4p)x²
1/4p = 1/160
4p = 160
p = 160 ÷ 4
p = 40
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You can buy 10 cans of soup for $6. How much would you pay for 35 cans?
Answer:
$58.45
Step-by-step explanation:
10/6= 1.67
One can cost $1.67
1.67*35= $58.45
Thirty-five cans cost $58.45
Hope this helps. Have a great day. May it be filled with joy and happiness.
A recipe calls for 2 cups of flour and 1 cup of milk. What is the ratio of milk to flour in this recipe?
Answer:
1:2
Step-by-step explanation:
find the angle between the vectors. (first find an exact expression and then approximate to the nearest degree.) a = i 2j − 2k, b = 4i − 3k
The angle between the vectors a and b is approximately 48 degrees.
To find the angle between two vectors a and b, we can use the formula:
cos θ = (a · b) / (|a| |b|)
where a · b is the dot product of a and b, and |a| and |b| are the magnitudes of a and b, respectively.
First, let's find the dot product of a and b:
a · b = (i)(4) + (2j)(0) + (-2k)(-3) = 4 + 6 = 10
Next, let's find the magnitudes of a and b:
|a| = √(1^2 + 2^2 + (-2)^2) = √9 = 3
|b| = √(4^2 + 0^2 + (-3)^2) = √25 = 5
Substituting these values into the formula for cos θ, we get:
cos θ = 10 / (3 * 5) = 2/3
To find the angle θ, we can take the inverse cosine (cos^-1) of 2/3:
θ = cos^-1(2/3) = 48.19 degrees
Therefore, the angle between the vectors a and b is approximately 48 degrees.
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