Answer:
Midpoint of A and B is (4,5).
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane
then midpoint is given by (x1+x2)/2 , (y1+y2)/2
_____________________________________
here two points are (2,7) and (6,3)
substituting this value in (x1+x2)/2 , (y1+y2)/2
we have,
midpoint (2+6)/2, (7+3)/2
= 8/2 , 10/2 = 4,5
Midpoint of A and B is (4,5).
find the value of a) 4:12
Step-by-step explanation:
1:4 bcos u need to divide both sides by 4
8. If a conditional is true and its hypothesis is true, then its_____ is true.
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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(Calculate the LCM x 2 - 4x - 12 and x 2 - 8x + 16
Answer:
x^4 -12x^3 +36x^2 +32x -192
Step-by-step explanation:
You want the LCM of (x^2 -4x -12) and (x^2 -8x +16).
LCMThe least common multiple is the product divided by the greatest common factor.
The factors are ...
x^2 -4x -12 = (x -6)(x +2)
x^2 -8x +16 = (x -4)^2
There are no common factors, so the LCM is the product of the two polynomials:
(x^2 -4x -12) × (x^2 -8x +16)
= (1·1)x^4 +(1·(-8) +(-4)·1)x^3 +(1·16 +1·(-12) +(-4)(-8))x^2 +(-4(16) +(-8)(-12))x +(-12)(16)
= x^4 -12x^3 +36x^2 +32x -192 . . . . LCM of the give polynomials
__
Additional comment
You can use the distributive property 4 times to get the 9 product terms that need to be combined. Or, you can consider the coefficients that must be combined to give the coefficient of a given power of the product. That's what we did above.
If you have the coefficient arrays ...
a b c
d e g
for terms in decreasing-degree order, then the coefficients of the product in decreasing-degree order are ...
ad, ae+db, ag+dc+be, bg+ec, cg
If you look at this list carefully, you can see the pattern in the products. Once you know the pattern, you can usually do the arithmetic mentally.
Plot three points on the graph of function f
The numbers 38, 79, 17, 43, 74, 96, and 87 are re-arranged so that starting with the second number, the tens digit of each number is equal to the units digit of the previous number. What is the fourth number in this new list?
Answer:
38
Step-by-step explanation:
Sequential pairs will be ...
38 - 87
79 - 96
17 - 74 or 79
43 - 38
74 - 43
96 - (none)
87 - 74 or 79
We notice that 17 has no preceding number. It must be first in the list. 79 cannot be second, because that skips a bunch of numbers. The sequence appears to be ...
17 - 74 - 43 - 38 - 87 - 79 - 96
The 4th number in the list is 38.
a hexagon has 5 sides measured as 115 , find the sixth side
Answer:
31
Step-by-step explanation:
115 divided by 5 equals 31 and each side measures 31 so the 6th side measures 31
or
Angle sum of hexagon is 720 .
So,116*5(5 side are given)
=580
580+x=720 (x is the sixth side of hexagon)
x=720-580
=140°
(co 3) what is the term that describes the data that defines and characterizes other data within an electronic system?
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.
The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.
Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.
Since the DOC system uses free text, the EHR's data is structured.
Therefore,
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
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-4/7+ 2/7x - 14x+4/7
Answer:
-96/7x or 13.714x
Step-by-step explanation:
-4/7+ 2/7x - 14x+4/7
first we do
4/7-4/7 which is zero, so we can cancel those out.
then we do
2/7x-14x ( or you can do -14x+2/7, it’s the same thing
use your calculator to make this easier. if you look you’ll be able to find a fraction button on most
after we do 2/7x-14x , we get -96/7x
if you want it in a fraction just divide and you’ll get -13.714x
If a food item with an original (AP) weight of 4 pounds at a cost of $1.10 per pound yields a servable weight of 2 pounds, what is the cost per servable pound for this food item? a. $0.50 b. $1.50 c. $2.20 d. $4.40
Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.
The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.
The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):
Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.
Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.
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how to do this question?
Answer:
length of side of square = 8 cm
Step-by-step explanation:
Let's first find the area of the triangle, using the formula A = (1/2)(base)(height):
A = (1/2)(16 cm)(4 cm) = 32 cm^2.
Twice the area of the triangle would be 64 cm^2.
The area of the square is then 64 cm^2, which is the square of the length of one side of the square. Taking the square root of 64 cm^2, we get
length of side of square = sqrt(64 cm^2) = 8 cm
Please help hurry I’ll mark brainly
The frequency table shows that:
2 were inaugurated between 40 and 4513 were inaugurated between 46 and 5131 were inaugurated between 52 and 576 were inaugurated between 58 and 635 were inaugurated between 64 and 69.What is the frequency table?To construct frequency table with a range of 6 classes, we will determine range of the data which is difference between the largest and smallest value in the data set.
Data are: 42, 43, 46, 46, 47, 47, 48, 49, 49, 50, 51, 51, 51, 51, 51, 52, 52, 54, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 57, 58, 60, 61, 61, 61, 62, 64, 64, 65, 68, 69
Age Interval Frequency
40 - 45 2
46 - 51 13
52 - 57 31
58 - 63 6
64 - 69 5
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The sum of two numbers is 34 and ther is 285. Find the difference of the product two numbers
Express D in the form Dx, Dy, where the x and y components are separated by a comma using two significant figures. The figure shows vectors A and B. Find Ď=2.4 Ā+B.
The representation of D in the form D_x, D_y, where the x and y components are separated by a comma will be D[6.08,7.27]
Any vector oriented in two dimensions can be understood to have an impact in both directions. This implies that it may be divided into two halves. A component is a portion of a two-dimensional vector. The components of a vector assist to represent the vector's effect in a certain direction. The total impact of these two components is equivalent to the influence of the separate two-dimensional vectors. The two vector components can substitute the single two-dimensional vector.
Determine the x and y components for each vector A & B for vector A
Ax=sin (15) * 2=0.5176
Ay=cos (15) * 2=1.9318
for Vector B
Bx=cos (15) * 4=3.8637
By=sin (15)* 4=1.0352
The vector addition and scalar multiplication for x and y individually D=4.3 * A+B
Dx=4.3 *(sin (15) * 2)+cos (15) * 4
Dx=4.3 * 0.5176+3.8637
Dx=6.0893
Dy=4.3 *(cos (15) * 2)-sin (15) * 4
Dy=4.3 * 1.9318-1.0352
Dy=7.2715
D[6.08,7.27]
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The actual question may be:
Express D in the form D_x, D_y, where the x and y components are separated by a comma using two significant figures.
Please help solve ive been on this question for hours
Answer:
Joseph pays £133.20
Step-by-step explanation:
740 - 296 = 444
30% of 444 = 133.20
Therefore he pays £133.20
are negative numbers whole numbers? plz i need help due in 45min
Answer:
No
Step-by-step explanation:
Whole numbers don't include negative numbers, fractions, or decimals.
Answer:
Negative numbers don't classify as whole numbers
Whole numbers span from 0 to every number greater than 0
Instead, integers contain 0, negatives, and their opposities (positives)
Step-by-step explanation:
What type of Triangle is this?
Answer:
obtuse scalence
Step-by-step explanation:
Write an equation of the circle with center (-2, 6) and radius 7.
Answer:
( x + 2 )² + ( y - 6 )² = 49
Step-by-step explanation:
→ Write the form of an equation of a circle
( x - a )² + ( y - b )² = r²
→ Substitute in the centre remembering to switch the signs
( x + 2 )² + ( y - 6 )² = r²
→ Substitute in radius
( x + 2 )² + ( y - 6 )² = 49
which distance metric would best describe this: how far apart
are two binary vectors of the same length ? justify your
answer?
The Hamming distance metric is the best metric for describing how far apart two binary vectors of the same length are. The reason for this is that the Hamming distance is a measure of the difference between two strings of the same length.
Its value is the number of positions in which two corresponding symbols differ.To compute the Hamming distance, two binary strings of the same length are compared by comparing their corresponding symbols at each position and counting the number of positions at which they differ.
The Hamming distance is used in error-correcting codes, cryptography, and other applications. Therefore, the Hamming distance metric is the best for this particular question.
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If a bacteria has a doubling time of 20 min and you start with one bacterium, how many cells will you have after 1 hour (60 min)
After 1 hour (60 minutes), starting with one bacterium and with a doubling time of 20 minutes, you will have 8 cells.
To calculate the number of cells after a certain time period, we can use the formula for exponential growth:
\(N(t) = N_0 * 2^{t/d}\)
Where:
N(t) is the final number of cells after time t
N₀ is the initial number of cells
t is the time period
d is the doubling time
In this case, N0 = 1 (starting with one bacterium), t = 60 minutes, and d = 20 minutes.
Plugging the values into the formula, we have:
N(60) = 1 * \(2^{60/20}\)
N(60) = 1 * 2³
N(60) = 1 * 8
N(60) = 8
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6. Lisa was making $8.15 per hour at her after-school job. She receives a 20% raise.
What is Lisa's new hourly rate, rounded to the nearest cent, after her raise?
A. $8.31
B. $8.35
C. $8.97
D. $9.78
Answer:
D.$9.78
Step-by-step explanation:
20% of $8.15 $8.15 + $1.63
=8.15 x 20/100 =$9.78
=$1.63
2 5 y=x²-3x+1)x \x²+x² )
2/(5y) = x²/(x² - 3x + 1) is equivalent to x = [6 ± √(36 - 8/y)]/2, where y > 4.5.
Given the expression: 2/(5y) = x²/(x² - 3x + 1)
To simplify the expression:
Step 1: Multiply both sides by the denominators:
(2/(5y)) (x² - 3x + 1) = x²
Step 2: Simplify the numerator on the left-hand side:
2x² - 6x + 2/5y = x²
Step 3: Subtract x² from both sides to isolate the variables:
x² - 6x + 2/5y = 0
Step 4: Check the discriminant to determine if the equation has real roots:
The discriminant is b² - 4ac, where a = 1, b = -6, and c = (2/5y).
The discriminant is 36 - (8/y).
For real roots, 36 - (8/y) > 0, which is true only if y > 4.5.
Step 5: If y > 4.5, the roots of the equation are given by:
x = [6 ± √(36 - 8/y)]/2
Simplifying further, x = 3 ± √(9 - 2/y)
Therefore, 2/(5y) = x²/(x² - 3x + 1) is equivalent to x = [6 ± √(36 - 8/y)]/2, where y > 4.5.
The given expression is now simplified.
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Simplify (5. 5)2+5. 75⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√+9(5. 5)2+5. 75+9 using rational numbers
The simplified expression using rational numbers is 82.25.
First, let's start by defining what a rational number is. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. For example, 2/3, 5, and -7/2 are all rational numbers.
Now, let's simplify the expression using rational numbers. We can start by simplifying (5.5)² and 9(5.5)².
(5.5)² is equal to 30.25, which is a rational number because it can be expressed as 121/4.
9(5.5)² is equal to 9 times 30.25, which is equal to 272.25. This is also a rational number because it can be expressed as 109/4.
Next, let's simplify √5.75. To do this, we need to express the square root as a rational number. We can do this by rationalizing the denominator.
To rationalize the denominator, we multiply both the numerator and denominator of the expression by the conjugate of the denominator. In this case, the conjugate of √5.75 is √5.75.
So, 5.75√ can be simplified as follows:
5.75√ = 5.75√5.75/√5.75
= 5.75√5.75/5.75
= √5.75
Now, we can rewrite the expression as:
(121/4) + √5.75 + (109/4) + 5.75 + 9
Combining like terms, we get:
(121/4) + (109/4) + 15.75 + 9
Simplifying further, we get:
(230/4) + 15.75 + 9
= 57.5 + 15.75 + 9
= 82.25
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Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?
Answer:
A triangle is dilated by scale factor of 1/5
Step-by-step explanation:
A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.
If Elsa plays the piano for 3/4 hours a day, how many hours of piano practice will she gain in 20 days?
Answer:
15 hours
Step-by-step explanation:
3x20=60
4x1=4
60÷4=15
Answer:
15 hours of practice
Step-by-step explanation:
The equation is simple. Multiply 3/4 by 20 for a final result of 15.
Also, can I have Brainliest? I want to get to Virtuoso rank.
please need help on this questuion please answer in i need to submit it in 30min please answer this queation please
Answer:
it should be the last option,
Step-by-step explanation:
if you have 8/8 of the money, and you give 1/8 of the money away, its a simple 8-1 equation!
Answer:
The remaining fraction of money is 7/8
Step-by-step explanation:
45 strikeouts in 36 inning or 96 strikeouts in 80 innings
The function f(t)=16t2 represents the distance (in feet) a dropped object falls in t seconds. the function g(t)=s0 represents the initial height (in feet) of the object. a penny is dropped off of a building at a height of 256 feet. after how many seconds does the penny hit the ground?
The coin purse hit the ground in 3 seconds.
Given :
\($\mathrm{f}(\mathrm{t})=16 \mathrm{t}^2$\) ----- (represent the distance(in feet) a dropped object falls in t seconds)
\($\mathrm{g}(\mathrm{t})=\mathrm{s}_0=144 \mathrm{ft}$\) ------ (represent the initial height (in feet) of the coin purse)
The function that represents the distance a dropped coin purse falls in t seconds,
\($f(t)=144-16 t^2$\)
When the coin purse touches the ground,
\($f(t)=0$\)
\($0=144-16 t^2$\)
\($t^2=\frac{144}{16}=9$\)
t = +3 and t = -3
So we take positive t.
Therefore, the coin purse hit the ground in 3 seconds.
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5,367➗4= help please
Answer: 1,341 3/4
Step-by-step explanation:
Answer:
1341.75
There you go! ALSO PLEASE GIVE ME BRAINLIEST THANK YOU!!!:
Plz help me with 6th grade math- I’m dumb