Answer:
y = - 6x + 20
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (5, - 10 ) and (x₂, y₂ ) = (2, 8 )
m = \(\frac{8-(-10)}{2-5}\) = \(\frac{8+10}{-3}\) = \(\frac{18}{-3}\) = - 6 , then
y = - 6x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (2, 8 ) , then
8 = - 12 + c ⇒ c = 8 + 12 = 20
y = - 6x + 20 ← equation of line
what is the area of the parallelogram
Answer: 143cm
Step-by-step explanation:
Area = base x height = 13x11 = 143
Answer: 143 square centimeters
Step-by-step explanation:
To find the area of the parallelogram, we can use the parallelogram area formula, A = b x h .
13 x 11 = 143
Since the area is the measure found, you follow the units (cm) with the squared symbol (²):
143 cm²
I hope this helps!
can someone help pls:)
Answer:
c
Step-by-step explanation:
vectors u and v are shown in the graph.
what is -3(U x V)
348
46
355
-128
The value of -3(U x V) is 366. None of the options is correct.
What is dot product?
A pair of vectors' dot product is the result of adding the products of each corresponding component. It is equal to their product of magnitudes times the cosine of the angle at which they are separated. The magnitude square of a vector is its dot product with itself.
The given vectors are U=-6i-10j and V = 7i + 8j.
The formula of dot product is
A = x₁i + y₁j and B = x₂i + y₂j
A.B = x₁x₂ + y₁y₂.
Apply the formula:
U.V = (-6×7) + (-10×8)
=-42 - 80
= - 122
Now calculate -3(U . V):
-3(U . V) = -3×(- 122)
-3(U . V) = 366
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3/5 - 4 - x=0 i need hlp with this
Draw a FSA that recognizes binary strings that two or more Os anywhere in the string.
The FSA can be defined as follows:
Q: set of states {q0, q1, q2, q3}
∑: set of input symbols {0, 1}
q0: initial state
F: set of final states {q1, q2, q3}
δ: transition function
δ(q0, 0) = q0
δ(q0, 1) = q1
δ(q1, 0) = q2
δ(q1, 1) = q1
δ(q2, 0) = q3
δ(q2, 1) = q1
δ(q3, 0) = q3
δ(q3, 1) = q3
The FSA (Finite State Automaton) that recognizes binary strings with two or more Os anywhere in the string can be constructed using four states: q0, q1, q2, and q3. The initial state is q0 and the set of final states is {q1, q2, q3}. At state q0, the machine reads input symbol 0 and remains in state q0, while reading input symbol 1 transition to state q1.
At state q1, the machine reads input symbol 0 and transitions to state q2, while reading input symbol 1 remains in state q1. At state q2, the machine reads input symbol 0 and transitions to state q3, while reading input symbol 1 transition to state q1.
At state q3, the machine reads either input symbol 0 or 1 and remains in state q3. If the machine reaches any of the final states, it accepts the input string.
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a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?
Answer:
20
Step-by-step explanation:
Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.
And 18+3... 21, that is smaller than 21.
If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.
3x + 2 y = 4
What is the answer
Answer:
You want to look for x? If yes then:
\(x=\frac{4}{3}-\frac{2y}{3}\)
And this is for y
\(y=2-\frac{3x}{2}\)
Je m'échauffe
1 QUESTIONS FLASH
Déterminer la moyenne, la médiane et l'éten-
due de chacune des séries :
2
a. série 1 : 4; 5; 12;
b. série 2: 0; 1; 2; 3;
c. série 3:3; 7; 9:11; 20;
d. série 4:2; 3; 4; 5; 6; 7.
Si quelqun pourrais m’aider sur les 3 question sa serais génial ! Silvouplais
Answer:
yookiiii8bubub7bssh8ss
when you are completing pythagorean theorum are you solving for the area?
Answer:
no
Step-by-step explanation: you are solving for the lengths of the different sides of the triangle
WILL GIVE BRAINLIEST TO FIRST PERSON WHO IS CORRECT DO NOT DO THIS FOR POINTS PLS
A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 100π square inches and the radius of the can is 5 inches, what is the height of the can?
25 inches
20 inches
10 inches
5 inches
Answer:
25
Step-by-step explanation:
Answer:
Step-by-step explanation:
5 inches
Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Body Temperatures (in F) of adult males 98.2 97.8 99.2 98.1 96.4 96.4 98.9 97.5 97.1 98.0 96.5 98.2 96.5 96.6 98.4 96.9 97.0 96.4 99.2 97.6
On solving the provided question, we cans ay that by standard deviation, \(SE = 0.1590 (approx.)\)
What is standard deviation?Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed.
By sample standard deviation, we mean standard error. Hence, we have that:
Therefore, Standard deviation\(= 0.6929891\)
The sample size \((n) = 19.\)
Hence:
\(SE = 0.1589826.\\ SE = 0.1590 (approx.)\)
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What is the product of (3x - 4) and (3x - 4)
Answer:
\( {9x}^{2} - 24x + 6\)
Step-by-step explanation:
i explain in the photo :D
Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
What is the slope of any line that is perpendicular to the line 8x + 4y = 64?
A. 1 / 2
B. -2
C. – 1/2
D. 2
15 POINTS
Answer:
-2
Step-by-step explanation:
Find the value of x in this diagram.
Answer:
x= 80 degrees
Step-by-step explanation:
50 +50 = 100,
180-100 = 80
80 degrees
i need some help!! plss
Answer:
250
Step-by-step explanation:
In a biology lab, 500 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into two bacteria.
Answer:hour 1 500, hour 2 1000, hour 3 2000 , hour 4 4000
Step-by-step explanation:
After 1 hour 500 bacteria split into 500 bacteria.
After 2 hour 500 bacteria split into 1000 bacteria.
After 3 hour 500 bacteria split into 1500 bacteria.
After 4 hour 500 bacteria split into 2000 bacteria.
Given that,
In a biology lab, 500 bacteria reproduce by splitting.
Every hour, on the hour, each bacterium splits into two bacteria.
We have to find,
Find the number of bacteria after 4 hours.
According to the question,
Let us assume n = the number of bacteria at a given hour.
Total number of bacteria = 500
At the end of 1 hour each of the 500 bacteria after an hour is split in to 2 bacteria. So, at the end of 1 hour = n(1) = 1 × 500 = 500 After 1 hour 500 bacteria split into 500 bacteria.At the end of the 2 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(2) = 2 x 500 = 1000 bacteria After 2 hour 500 bacteria split into 1000 bacteria.At the end of the 3 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(3) = 500 x 3 = 1500 bacteria After 3 hour 500 bacteria split into 1500 bacteria.At the end of 4 hours, each of the 500 bacteria spilt into 2 more bacteria.
So, n(4) = 4 × 500 = 2000 bacteria
After 4 hour 500 bacteria split into 2000 bacteria.
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What is the slope of the line??
Answer:
The slope is -1/2
Step-by-step explanation:
slope is found by putting the rise over run, which is -2/4 or -1/2
what fraction times 30 equals 25
5/6 fraction times 30 equals 25.
We need to find what fraction times 30 equals 25.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let the unknown fraction be x/y.
Now, x/y × 30 =25
⇒ x/y = 25/30
⇒ x/y = 5/6
Therefore, 5/6 fraction times 30 equals 25.
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HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!!
The length of the rectangular plot is 125 feet.
How to find the side of a rectangle?A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.
The rectangle has a right triangle in it. Therefore, using Pythagoras's theorem,
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore,
l² = 325² - 300²
l = √105625 - 90000
l = √15625
l = 125 ft
Therefore,
length of the rectangular plot = 125 feet
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A line passes through (-2, 5) and has a slope of what is the equation of the line in point-slope form?
y+ 2 = } (x - 5)
A.
B.
y-5= (x + 2)
O C. y= {x +
3
o
D.
y+5 = (– 2)
Answer:
it actually y=1/3x+17/3
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:
y=1/3x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-2,5). When x of the line is -2, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).
So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.
The equation of the line that passes through the point (-2,5) with a slope of 1/3
is
y=1/3x+17/3
There's your explanation
Which is greater, the circumference of a circle with radius 3 ft, or the distance around a semicircle with diameter 16 ft? by how much?.
The circumference of a circle with a radius of 3 ft is greater than the distance around a semicircle with a diameter of 16 ft by approximately 2.84 ft.
The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. For the given circle with a radius of 3 ft, the circumference would be C = 2π(3) = 6π ft.
The distance around a semicircle is calculated by finding half the circumference of the corresponding full circle. In this case, the diameter of the semicircle is 16 ft, which means the corresponding full circle has a radius of 8 ft. The circumference of the full circle is C = 2π(8) = 16π ft. Therefore, the distance around the semicircle is half of that, which is 8π ft.
Comparing the two values, 6π ft is greater than 8π ft by approximately 2.84 ft. Hence, the circumference of the circle with radius 3 ft is greater than the distance around the semicircle with a diameter of 16 ft by approximately 2.84 ft.
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HEY GUYS PLEASE HELP JUST LABEL THEM 1 2 3 and tell me true or false
Spencer spent 10 minutes on the phone while routing 5 phone calls. If he routes 28 phone calls, how much time will Spencer have spent on the phone in total? Solve using unit rates.
Spencer will have spent 56 minutes on the phone in total while routing 28 phone calls.
If Spencer spent 10 minutes while routing 5 phone calls, the unit rate of time spent on the phone per phone call is;
10 minutes ÷ 5 phone calls = 2 minutes/phone call
Therefore, the unit rate tells us that Spencer spent an average of 2 minutes on the phone for each of the 5 phone calls he routed.
To find how much time Spencer will spend on the phone in total while routing 28 phone calls, we can use the unit rate as a conversion factor;
Total time on the phone = (Number of phone calls) x (Time per phone call)
Total time on the phone = 28 phone calls x (2 minutes/phone call)
Total time on the phone = 56 minutes
Therefore, Spencer will have spent 56 minutes on the phone.
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question in pic below ;))))
Answer:
The first table
Step-by-step explanation:
If you create a fraction x/y, you will see all of the answers reduce down to -1/4. The other tables don't reduce to the same values.
Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
Answer:
A. All the colors in the rainbow.
Step-by-step explanation:
I think.
Which of the following
numbers can be rewritten as
a fraction?
5.8, 4.5 √36, 9.2, √20
Answer:
5.8 = \(5\frac{4}{5}\)
4.5 = \(4\frac{1}{2}\)
9.2 = \(9\frac{1}{5}\)
the sum of three consecutive integers is three times the second integer. show that this is true for the three consecutive integers 7,8 and 9
Step-by-step explanation:
7+8+9=24
second integer is 8 so 8*3=24
Find the value of the expression (2x − 12) + (xy-10) for x = 8 and y = 2.
-
O-8
O 6
O-10
02
The value of the expression, (2x − 12) + (1/2xy-10), for x = 8 and y = 2 will be 2.
According to the question,
We have the following expression:
(2x − 12) + (1/2xy-10)
Now, the values of x and y are given to be 8 and 2 respectively.
So, we will put these values of x and y in the given expression:
(2*8-12)+(1/2*8*2-10)
First, we will use multiplication:
(16-12)+(8-10)
4+(-2)
(Note that when two integers are of different signs then the integers are subtracted but the sign in the result is of the larger integer.)
4-2
2
Hence, the value of the expression, (2x − 12) + (1/2xy-10), for x = 8 and y = 2 will be 2.
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how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3