equation for a tractrix, hence it proves that the trace of the tractrix is given as (t, t tan t).
The trace of the tractrix is given as:
Trace = (x, y) = (t, t tan t)
To show that the trace is that of a tractrix, we will use the equation for a tractrix, which is given as:
x = t – t tanh t
where t is the angle that the y-axis makes with the vector.
Substituting the value of x in the trace equation, we get:
t – t tanh t = t
Simplifying the equation, we get:
t tanh t = 0
This is the equation for a tractrix, hence it proves that the trace of the tractrix is given as (t, t tan t).
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The volume, in cubic centimeters, of a fish
tank is represented by the polynomial
model
The polynomial's maximum value is relative.
Is the maximum relative or absolute?Here we have the polynomial:
[tex]V(x) = 36x^2 - 3.75x^3[/tex]
Notice that the leading coefficient is negative, so, as x tends to negative infinite, V(x) will tend to positive infinite.
So we only have a relative maximum, because is local maximum (at x = 6.4), but the function can take larger values than that.
You can also check that on the graph of V(x), which you can see below:
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1. A circle has a radius of 12 in. Find:
The diameter of the circle.
The circumference of the circle.
The area of the circle.
2. A circle has a radius of 4.4 cm. Find:
The diameter of the circle.
The circumference of the circle.
The area of the circle.
3. A circle has a diameter of 60 m. Find:
The radius of the circle.
The circumference of the circle.
The area of the circle.
4. A circle has a diameter of 1.8 km. Find:
The radius of the circle.
The circumference of the circle.
The area of the circle.
Answer:
1.
a.) 24in
b.)75.36in
c.)452.16in
Step-by-step explanation:
1a. The radius is half of the diameter, so all you have to do is add 12 + 12 which is 24.
1b. the circumfrence of a circle is C (Circumfrence)=[tex]2\pi r[/tex] so replace radius for 12 and then do 3.14(pi) x 2 which will get you 6.28 times 6.28 by 12 and you will get 75.36.
1c. Area=[tex]\pi r^{2}[/tex] so first do the radius by the second power, or [tex]r * r[/tex], susitute r for 12 and you will get 144, times 144 by pi and you will get 452.16in
Sorry I could not answer every question but hope this helps!
Need Help with this question
Answer:
23/35
Step-by-step explanation:
there's 12 red cards and 23 black cards
total = 35 cards
probability to pick a black card = 23/35
Answer: 23/35
Step-by-step explanation:
Probability is the measure of the likelihood of an event occurring. It is measured by the number of favorable outcomes over the total number of possible outcomes.
Here, the event is a black card being drawn. Since there are 12 + 23 = 35 cards in the deck, there are 35 possible outcomes of what card is picked. Out of those 35 cards, 23 are black, making 23 of the 35 options be the option we want.
23 black cards out of 35 total cards can also be written as [tex]\frac{23}{35}[/tex], which is the probability that a black card is chosen.
Geometry question don’t understand 1 and 3
Which of the following is the graph of the quadratic function y = x² - 6x-16?
++
10
-10
10-
-20-
-10
-10-
4
10
-10
O A. Graph A
OB. Graph D
C. Graph B
O D. Graph C
10
-10-
B.
10
10
D.
10
Answer:
C
Step-by-step explanation:
Graph C is the only one that has a y-intercept of (0, -16): note that when x = 0, y = 0^2 - 6(0) - 16, or y = -16 when x = 0.
You’ve gone to visit your friend in Germany. As you’re getting dressed for a day out, your friend tells you it’s 16 degrees (Celsius) outside. The formula for degrees Celsius in relation to degrees Fahrenheit is
C=(5f-160)/(9)
a. Invert this equation to solve for Fahrenheit.
b. Tell what the temperature is in degrees Fahrenheit.
c. What kind of clothing should you wear for the day to be comfortable at that temperature?
d. Is there a temperature at which Celsius and Fahrenheit are described by the same number? Explain how you would find that number.
It cost jose $8.70 to send 87 text messages how much will it cost to send 10 text messages
Answer:
$1.00 = 10 cent each
Step-by-step explanation:
If a single 2 hp motor draws 13.8 amps on 115 volt ac current, how much current would 9 identical motors pull?
what is the answer and how do you solve it?
The current drawn by 9 identical motors will be 124.2 amps current
Current is the flow of electrical charge carriers like electrons. Current flows from negative to positive points. The SI unit for measuring electric current is the ampere (A). One ampere of current is defined as one coulomb of electrical charge moving past a unique point in a second.
since , one motor of 2hp draws = 13.8 amps current
hence , 9 identical motor will pull = 13.8 * 9 (each will pull same amount of current )
= 124.2 amps current
The current drawn by 9 identical motors will be 124.2 amps current
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Hi! I’ve tried at this question many times and still do not understand why the answer isn’t B but A. Please explain as best as you can! Thanks! (The question is below in the picture)
Answer:
Graph B is not linear.
Step-by-step explanation:
This question asks for a linear relationship. Graph B is not linear.
Please look closely at the attached images where I gave graphed these points.
I hope this helps. Please let me know if you have questions.
If you played 12 games but only won 7, what is the percent of the victories?
Answer:
58.3%
Step-by-step explanation:
7/12 = 0.583333333
0.583333333 simplified is 58.3%
Answer:
Approximately 58.3%.
Step-by-step explanation:
7/12 ≈ 0.583
0.583 = 58.3%
can anyone solve this 100+3-4(4-5) divided by 6+5+5+5+300
Pls, I need help. Whoever gets it right gets the brainliest.
There can be 18, 12, 9, 6, 4 , 3 or 2 students on each team depending on the number of teams selected.
How to know the number of students on each team?Considering there are at least 2 teams but no more than 19 teams, let's calculate the number of students in each case:
2 teams: 18 students per team (36/2 = 18)3 teams: 12 students per team (36/3 =12)4 teams: 9 students per team (36/4 = 9)6 teams: 6 students per team (36/6 = 6)9 teams: 4 students per team (36/9 = 4)12 teams: 3 students per team (36/12= 3)18 teams: 2 students per team (36/18 = 2)Learn more about teams in: https://brainly.com/question/10750297
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One number is 4 more than another and their sum is 60.
If x = the larger number and y = the smaller number, then which of the following is the value of the smaller number?
The larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60. This can be obtained by forming algebraic equation and finding
Calculate the value of the numbers:Given that one number is 4 more than another,
⇒x = y + 4 (equation (1))
Their sum is 60,
⇒x + y = 60
y + 4 + y = 60 (From (1))
2y + 4 = 60
2y = 56 ⇒ y = 28
x = y + 4 = 28 + 4 = 32
Hence the larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60.
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please help me with this!!!!!!!!!
Answer: 18
Step-by-step explanation:
By the exterior angle theorem,
[tex]x+18+x+12=x+48\\\\2x+30=x+48\\\\x+30=48\\\\x=18[/tex]
Answer:
x = 18
Step-by-step explanation:
The sum of two interior angles im a triangle is equal to one exterior angle that is supplementary to the third interior angle:
x + 18 + x + 12 = x + 48 add like terms
2x + 30 = x + 48 transfer like terms to the same side of the equation
2x - x = 48 - 30
x = 18
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. the patient currently has a bone density of 1, 500 kg / m * g ^ 3 the doctor writes an exponential function to represent the situation. which should the doctor use for a and b in a function written in the form f(x) = a * b ^ x where f(x) represents the bone density after x years ?
Answer:
a = 1500 b = .97
Step-by-step explanation:
1500 ( .97)^x = bone density after n years
3% loss leave 97% each year (.97 in decimal)
The triangles are similar. Find the value of the variable.
Multiplica: (5 ft 6 in) x 4.
Answer: 22 ft
Step-by-step explanation:
Matt's four cousins are coming to visit. There are four identical rooms that they can stay in. If any number of the cousins can stay in one room, how many different ways are there to put the cousins in the rooms
The total number of different ways there are to put the cousins in the rooms is; 15
How to use probability combinations?When we count the number of cousins staying in each room, it means that the possibilities are as follows; (4,0,0,0), (3,1,0,0), (2,2,0,0), (2,1,1,0), (1,1,1,1).
1) (4,0,0,0): This means that there is only 1 way to put all the cousins in the same room due to the fact that the rooms are identical.
2) (3,1,0,0): This means that there are 4 ways to choose which cousin will be in a different room than the others.
3) (2,2,0,0): This means that there are 3 ways to choose which of the other cousins will also stay in that room, and then the other two are automatically in the other room.
4) (2,1,1,0): This means that the number of ways to choose which cousins stay in the same room is; 4C2 = 6
5) (1,1,1,1): This means that there is only one way for all the cousins to the total number of possible arrangements is;
1 + 4 + 3 + 6 + 1 = 15each stay in a different room.
Therefore, the total number of possible arrangements is;
1 + 4 + 3 + 6 + 1 = 15
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If you place a 39-foot ladder against the top of a building and the bottom of the
ladder is 33 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Answer:
20.8
Step-by-step explanation:
Just use the The Pythagorean Theorem
which is a^2+b^2=c^2
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Solve the equation: -8(2a-1)=36
-8.(2a - 1) = 36
-16a + 8 = 36
-16a = 36 - 8 = 28
a = 28/(-16) = -7/4
The correct answer is -7/4 = -1.75
The solution to the given equation is [tex]\frac{-7}{4}[/tex].
What is an expression?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.
We have,
Expression -8(2a - 1) = 36
So,
Now,
To get the solution to this expression,
i.e.
-8(2a - 1) = 36
Rewrite it as,
i.e.
Opening Brackets,
We get,
-16a + 8 = 36
Now,
Taking variable terms on one side and other terms on another side,
We get,
-16a = 36 - 8
On solving we get,
-16a = 28
i.e.
a = [tex]\frac{-28}{16} = \frac{-7}{4}[/tex]
So,
The solution to the given equation is [tex]\frac{-7}{4}[/tex].
Hence, we can say that the solution to the given equation is [tex]\frac{-7}{4}[/tex].
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A system of linear equations is given by the tables. one of the tables is represented by the equation . x y 0 5 3 6 6 7 9 8 x y -6 9 -3 8 0 7 3 6 the equation that represents the other equation is y = x . the solution of the system is ( , )
The solution of the system would be (3,6).
Lets solve the problem,
Other equation: y = 1/3x+5
Slope-Intercept Form: y = mx + b
Slope Formula:
y2-y1/x2-x1 = m
Have to find equation now:
m = (6 - 5)/(3 - 0)
m = 1/3
y = 1/3x + b
5 = 1/3(0) + b
b=5
y = 1/3x + 5
Lets put the substituition method here,
1/3x + 5 = -1/3x + 7
2/3x + 5 = 7
2/3x = 2
x = 3
y = 1/3(3) + 5
y = 1 + 5
y = 6
Therefore the coordinates are (3,6)
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Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
How can a right triangular cross-section be created from a right triangle ?
Answer:
in a triangle prism each cross section parallel to the triangular base is a triangle congruent to the base
Please help Urgent
1. Explain the steps to use coordinates in calculating the perimeter and area of polygons? Explain your procedure when working with diagonal sides and irregular shapes on the coordinate plane.
2. Explain how the distance formula and slope formula are used to classify various quadrilaterals and triangles.
The way to use the distance formula to classify quadrilateral include:
Use the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to eachHow to illustrate the information?The steps to calculate the perimeter and area of a polygon:
Step 1: Plot the given points on the graph.
Step 2: Connect the points and identify the figure.
Step 3: Determine lengths by counting the grid lines.
Step 4: Use a formula to calculate the perimeter and area if one exists.
Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.
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The point-slope form of the
equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = ~(x - 8). What is
the slope-intercept form of the
equation for this line?
y= ~x-12
y= =x-4
y=~x+2
V= x+6
Answer: y = -x + 2
Step-by-step explanation:
Point slope form is y - y = m(x - x)
m = the slope of the line
Slope-intercept form is y = mx + b
m = the slope of the line
b = y-intercept
So because the - is in the m spot in the point-slope form, that means that is the slope of the line meaning it will also be in the m spot in slope-intercept form. The y-intercept of the line is found when x is 0. When we look at the two coordinates provided you can see that one of them shows when x is 0. We see that when x is 0, y is 2 which means that the y-intercept is 2.
So when you put the 2 in place of b, you get y = -x + 2
Anya was rowing up the river and noticed it takes longer to row upstream than downstream. She knows that in still water she can row 9 mph. She timed herself rowing approximately 4 miles upstream and then back in 1.5 hours. She then calculated the current of the river.
If the speed of boat in still water iss 9 mph and takes 1.5 miles to go and come 4 miles uptream and downward then the current of the river is 9.24 mph.
Given that the speed in still water be 9 mph, time to travel 4 miles upstream and downward is 1.5 hours.
We are required to find the speed of current of the river.
let the speed of current be c mph.
Effective speed in downstream=9+c
Effective speed in upstream=9-c
Total time=1.5 hours.
Total distance=4 miles.
Time for upstream stream+ time for downward stream=1.5 hours
2/(9+c)+2/(9-c)=1.5
18-2c+18+2c=1.5(9+c)(9-c)
36=1.5(81-[tex]c^{2}[/tex])
36=121.5-1.5[tex]c^{2}[/tex]
1.5[tex]c^{2}[/tex]=121.5-36
[tex]c^{2}[/tex]=85.5
c=9.24 mph.
Hence the speed of the current of the river is 9.24 mph.
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These cones are similar. Find the surface area of the smaller cone. Round to the nearest tenth. 3cm 2 cm. Help!!!
Answer:
33.3
Step-by-step explanation:
The scale factor is 2/3.
The ratio of the surface areas is the square of the scale factor, so the surface area of the smaller cone is 75(2/3)², which is about 33.3 cm²
Which could be the missing data item for the given set of data if the median of the complete data set is 15?
11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14
A. 16
B. 18
C. 20
D. 11
The missing data item for the given set of data if the median of the complete data set is 15 is 11; option F
MedianMedian = 15Mission data = nData set: 11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14
Median = Sum of data + n / number of data
15 = (11+23+12+18+11+10+19+15+19+21+13+17+24+14) + n / 15
15 = 214 + n / 15
15 × 15 = 214 + n
225 = 214 + n
n = 225 - 214
n = 11
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When solving the following system of equations, which variable would be the easiest to solve for? 2x + y = 9 3x - 2y = 17
Answer:
In my opinion, it would be 'y', since it is already on its own (in the first equation) without any coefficients.
Answer:
x.
Step-by-step explanation:
x because if you multiply the first equation by 2 and add the result to equation 2 , the y's will cancel out.
2x + y = 9 Times 2:-
4x + 2y = 18
3x - 2y = 17 Adding:-
7x = 35
x = 5.
The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. For the
next few hours, the temperature drops 2 degrees every hour.
Which equation represents the temperature, t, at hour h?
OA. t= 2h+32
B. t= -2h+ 32
C. t = 32h-₂
OD. t= -32h+2
You would multiply the change per hour by number of hours to get -2h
That would be added to the starting temperature.
Answer: B, t = -2h + 32
Answer: The answer is B
Step-by-step explanation:
The question says it drops ( which means subtraction) by 2 degrees every hour, so -2h