Answer:
11010001
So, 11010001 is the binary equivalent of decimal number 209
Step-by-step explanation:
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Answer:
209 itself is a decimal number. But you can convert it to binary or to other number systems.
Divide (209)[tex]_{10}[/tex] by 2 until the quotient is 0:
209/2 = 104, remainder is 1
104/2 = 52, remainder is 0
52/2 = 26, remainder is 0
26/2 = 13, remainder is 0
13/2 = 6, remainder is 1
6/2 = 3, remainder is 0
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read from the bottom (MSB) to top (LSB) as 11010001.
So, 11010001 is the binary equivalent of decimal number 209 (Answer).
Conversions of other number systems:
Quaternary: 3101
Octal: 321
Decimal: 209
Hexadecimal: D1
Base 32: 6H
Which equation describes the graph? (In the photo)
Answer:
C. The slope is 3 and the y-intercept is -3
What is the median of the following numbers?
8, 1, 2, 6, 1, 48, 1, 2, 6, 1, 4
Answer:
median is 2
Step-by-step explanation:
I arranged the numbers from low to greatest and found the "middle" number basically
Answer:
2
Step-by-step explanation:
In order to find the Median of a data set, you must first put the numbers in the data set in order so you'd get:1, 1, 1, 1, 2, 2, 4, 6, 6, 8, 48 Then you would count on each side to the middle and whichever digit is in the middle that is your median.
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A line of best fit....?
a) must pass through the median of the data
b) must pass through the origin
c) represents the trend of the data
d) must have a positive slope
the furniture store sells dining room tables and chairs. single chairs for particular table sell for 75.00 each. the cost for four chairs when the customer purchases the entire set is 200. what is the percent savings on the 4-chair set rounded to the nearest whole percent?
a.25%
b.33%
c.50%
d.66%
Answer:
B, 33%
Step-by-step explanation:
Let us find the original price of four chairs without the special deal, and compare it with the deal to find the percent savings.
Step 1:
A customer must buy 4 chairs costing $75 each to recieve the deal. Let us multiply 4 by 75 to find the total cost without the deal:
[tex]4*75=\\300[/tex]
Step 2:
We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us subtract the difference of costs and convert it into a percentage to find percent savings:
[tex]300-200=100\\\frac{100}{300} =\frac{1}{3}[/tex]
[tex]\frac{1}{3}=33[/tex]%
Therefore, B, the percent savings is 33%.
I hope this helps! Let me know if you have any questions :)
In circle H with mZGHJ = 92°, find the angle measure of minor arc GJ
Answer:
x = 92°
Step-by-step explanation:
The angle measure of the central angle is congruent to the measure of the intercepted arc.
Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot, in feet, of the sphere that Samantha will create?
The volume occupied by a 350 pound sphere is 2.33 ft³.
EquationEquation is an expression used to show the relationship between one or more numbers and variables.
Let y represent the weight of the sphere in pounds and x represent the volume in feet³, hence:
y = 150x
For a 350 pounds sphere:
350 = 150x
x = 2.33 ft³
The volume occupied by a 350 pound sphere is 2.33 ft³.
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The height of a triangle is 2ft less than the base x. The area is 144ft2
Answer:
Height: 16 ft., Base: 18 ft.
Step-by-step explanation:
Let us start with the formula of the area of a triangle, [tex]A=\frac{b*h}{2}[/tex], where b represents the base of the triangle, and h represents the height of the triangle.
In this problem, we will set the base of the triangle as x. The height is 2 ft. less than the base, and thus would have the expression, x-2. Let us plug the values into our formula to solve for x :
[tex]144=\frac{x(x-2)}{2} \\288=x^2-2x\\x^2-2x-288=0\\(x-18)(x+16)\\x=18,x=-16[/tex]
Since we set x as the base of the triangle, we now know that the base of the triangle is 18 ft. because the the base cannot have a negative length.The height would then be x-2, so 16 ft.
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What is the arc length if θ = 2 pi over 3 and the radius is 4 cm?
8 pi over 3
16 pi over 3
pi over 6
3 pi over 4
will give brainiest
my answer is in the image above
Answer:
8 pi/3
Step-by-step explanation:
The arc length is equal to the radius times the angle ( given in radians)
s = r theta
s = 4 *(2 pi /3)
s = 8 pi/3
evaluate the following expression. round your answer to two decimal places. log8 2.718
answers:
a:1.75
b:0.48
c:2.08
d:0.43
Answer:
log8 (2.718) = 0.48
Step-by-step explanation:
In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944
= 0.4808
Expression ㏒₈2.718 = 0.43, since option d. is the correct solution to the given question.
What is a logarithm?The logarithm is a mathematical function with a number and a base whose solution is the power to which the base needs to be raised to obtain that number.
How do we evaluate ㏒₈2.718?We need to evaluate ㏒₈2.718.
We will use the base changing formula for the evaluation, which is given by:
㏒ₐX = ㏒ₓX/㏒ₓa
∴㏒₈2.718
= ㏒2.718/㏒8
= 0.4342494523/0.9030899869
= 0.4808484853
Rounding of the answer to two decimal places, ㏒₈2.718 = 0.48.
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4x-8y less than or equal to -16
Answer:
x=0, y=2
Step-by-step explanation:
if you substutute the answers you will get the correct answer
A 3-member committee has to be formed from 2 teachers and 2 parents. How many combinations are possible?
Step-by-step explanation:
the answer is in the above image
The number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
Combination and permutationCombinations have to do with selection compared to permutation that has to do with the arrangement.
If a 3-member committee has to be formed from 2 teachers and 2 parents, the total committee is given as:
Total committee members = 2 + 2
Total committee members = 4 committees
If 3-member committee has to be formed from them, the number of ways this can be done is given as:
4C3 = 4!/(4-3)!3!
4C3 = 41/3!
4C3 = 4 ways
Hence the number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations
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Find the midpoint of the line segment with end coordinates of:
(-4,-2) and (-2, -10)
Step-by-step explanation:
let the midpoint be (x,y) so
(x,y)= (-4-2/2, -2-10/2)
= (-3 -6)
jackie wants to learn more about local college. which of the following is a statistical question jackie could ask?
A. does the collage have art classes
B. what is the address of the college
C. how old are the student's
D. does the collage have a women's soccer team
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
It is 300.88.
Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.
Help please? Not good at math :(
Answer:
see below
Step-by-step explanation:
a = -2 b = 4 c = -8
b^2 - 4ac
4^2 - 4( -2) (-8)
16 - (64) Three negatives multiplied together is negative
-48
Since this is negative there are no real solutions ( 2 complex solutions)
Solve the system of equations by graphing on your own paper. What is the y
coordinate of the solution?
= 2x-1
= -2x+5
Answer: The coordinate of the solution is (0.25,-0.5)
Step-by-step explanation:
the solution is (0.25,-0.5) because when you graph them on a graph, they both intercept at that point.
UHHH HELP ME !!
**
Which description is paired with its correct expression?
5
VX
4-
P
+3
O four less than the quotient of a number cubed and seven, increased by three;
O five times the difference of a number squared and six; 5(6-n")
-4.
O nine more than the quotient of six and a number cubed, decreased by four;
9+
twice the difference of nine and a number squared; 2 (9_n? )
Answer:
the last option is the correct answer
What is the slope of the line that passes through the points (3,4) and (0,-2)
Answer:
slope of a line is 2/3
Step-by-step explanation:
the coordinate points are:
(3,4)=(x1 , y1)
(0,-2)=(x2 , y2)
slope=y2 - y1/x2 - x1
=-2-4/0-3
=-2/-3
=2/3
What are the missing variables? Plzzzz
Answer:
D. x ≈ 3.3, y = 15.7
Step-by-step explanation:
x = Opposite
y = Adjacent
16 = Hypotenuse
θ = 12°
To find x, we solve using the Trigonometric function of Sine
sin θ = Opposite/ Hypotenuse
x = Opposite
sin 12 = x/16
Cross Multiply
x = sin 12 × 16
x = 3.3265870531
Approximately, x ≈ 3.3
To find y, we solve using the Trigonometric function of cosine
cos θ = Adjacent/ Hypotenuse
y = Adjacent
cos 12 = y/16
Cross Multiply
y = cos 12 × 16
y = 15.650361612
Approximately, y ≈ 15.7
Therefore, x ≈ 3.3, y = 15.7
Option D is correct
somebody help me out
Answer:
-74
Step-by-step explanation:
you plug in 5 for x
-4(5)^2 + 6(5) + 4
order of operations
5^2 =25
-4 × 25 =-100
6 × 5=30
-100 +30 = -70
-70 - 4=-74
consider the equation of the line y=-2x+4 what is the value of y when x=2
Answer: The value of y is 8
Step-by-step explanation:
Since we know x=2 we can sub in 2 for x in the equation
y=2(2)+4
y=4+4
y=8
Help me!!!
Determine if the two figures are congruent and explain your answer. (10 points)
Answer:
yes they are congruent
Step-by-step explanation:
they have congruent sides to each other
The given figures are congruent.
Given are two figure ABCD and EFGH on a cartesian plane, we need to check if the figures are congruent or not,
The coordinates of the figure ABCD are:
A = (-1, 1), B = (-3, 2), C = (-4, 4) and D = (-2, 6).
The coordinates of the figure EFGH are:
E = (2, 0), F = (4, 1), G = (5, 3) and H = (3, 5).
To check if the figures ABCD and EFGH are congruent, we need to compare the corresponding sides and angles of the two figures.
Congruent figures have the same shape and size, so their corresponding sides must be equal.
Let's compare the corresponding sides of ABCD and EFGH, using the distance formula:
[tex]|D| = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
AB and EF:
[tex]|AB| = \sqrt{(-3+1)^2 + (2-1)^2}\\\\ |AB| = \sqrt{-2^2+1^2} \\\\ |AB| = \sqrt{5}[/tex]
And,
[tex]|EF| = \sqrt{(4-2)^2 + (1-0)^2}\\\\ |EF| = \sqrt{2^2+1^2} \\\\ |EF| = \sqrt{5}[/tex]
∴ AB = EF
Similarly,
[tex]BC =\sqrt{\left(-4-\left(-3\right)\right)^2+\left(4-2\right)^2}\\\\ BC = \sqrt{5}[/tex]
And,
[tex]FG =\sqrt{\left(5-4\right)^2+\left(3-1\right)^2}\\\\ FG = \sqrt{5}[/tex]
[tex]CD = \sqrt{\left(-2-\left(-4\right)\right)^2+\left(6-4\right)^2} \\\\ CD = 2\sqrt{2}[/tex]
And,
[tex]GH=\sqrt{\left(3-5\right)^2+\left(5-3\right)^2}\\\\ GH=2\sqrt{2}[/tex]
[tex]AD =\sqrt{\left(-2-\left(-1\right)\right)^2+\left(6-1\right)^2}\\\\ AD =\sqrt{26}[/tex]
And,
[tex]EH = \sqrt{\left(3-2\right)^2+\left(5-0\right)^2}\\\\EH =\sqrt{26}[/tex]
Therefore, we get,
FG = BC, GH = CD and AD = EH = √26.
Since we get all the corresponding sides are equal.
Hence the figures are congruent.
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Calculate the number of kilowatt-hour a 7kW industrial pump used in 15 hours?
Answer:
The answer is "105 kilowatt-hour".
Step-by-step explanation:
Number of kilowatts[tex]= 7\ KW[/tex]
Total hours[tex]= 15 \ hours[/tex]
The total number of kilowatt-hour:
[tex]=7 \times 15\\\\= 105 \ kilowatt-hour[/tex]
Which values of x and y will make this
quadrilateral a parallelogram?
Answer:
X = 6
y = 4
Step-by-step explanation:
1. Chandler has a large and varied comic book collection. Of his
collection, 4/5 of the comics are superhero comics. Of those superhero
comics, 2/9 are Arachna-Man comics and 1/8 are Wonderdog comics.
part a. find the fraction of chandler's comic book collection that is made up of aracha-man comics. explain how u found your answer.
PLEASE ANSWER!!
Answer:
8/45
Step-by-step explanation:
Take the fraction that are superhero comics and multiply by the fraction of superhero comics that are Arachna comics
4/5 * 2/9
8/45
Solve for X
PLEASEEEEE HELPPPPP
Answer:
theta =36.45268177
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = 74/92
Taking the inverse cos of each side
cos^-1 ( cos theta) = cos^-1 (74/92)
theta =36.45268177
12x - 3y = -30 AND x = 2y - 6
A:6 and 30
B:8 and 28
C:4 and 16
Answer:
C?
Step-by-step explanation:
The cost of three tickets to a movie is at least $20. select an inequality that represents the cost x (in dollars) of each ticket. Then solve the inequality. write your solution in decimal form rounded to the bearest cent
Answer:
Step-by-step explanation:
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what is the solution to the equation below sqrt x-2 = x-22
Answer:
√27-2 =27-22
√25. =5
the answer is option B
x=27
Answer:
option B : x = 27
Step-by-step explanation: