Answers
the reasoning is that you would take rise/run which is the slope equation . so , to get from -3 to 3 , you move up 6 and to get from 2 to 4 , you move over 2 , which equals 6/2 or 3 .
Related Questions
Which expression can be used to check the answer to 56-(-14)=-4?
O-14x-4
O4(-14)
O 56x(-14)
O-4-56
Answers
Answer:
B
Step-by-step explanation:
Water is poured into a conical paper cup at the rate of 3 cubic centimeters
(cm) per second (s). The paper cup measures 8 cm tall and the top has a
radius of 4 cm.
a.) Use similar triangles to express the radius r in terms of the height h.
Be sure to solve your equation for r.
ANSWER: r =
<
b.) Determine how fast the water level is rising at the instant the water is 4
cm deep.(The volume of a cone is V = r2h.) Be sure to round your
answer to 3 Decimal Places.
ANSWER:
dh
dt
m/s
Answers
Answer:
The water level is rising at the rate 0.238 cm per second
Step-by-step explanation:
Let the radius and height of water at time t be r and h respectively.
Height of cup =H= 8 cm
Radius of cup = R = 4 cm
By symmetry
[tex]\frac{r}{h}=\frac{4}{8} \\r=\frac{1}{2}h ---1[/tex]
Volume of water at time t , [tex]V= \frac{1}{3} \pi r^2 h[/tex]
[tex]\frac{dV}{dt}=\frac{1}{3}\pi 2r \frac{dr}{dt} h+\frac{1}{3} \pi r^2 \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{3}\pi r (2 \frac{dr}{dt} h+ r \frac{dh}{dt})[/tex]
With 1
[tex]\frac{dr}{dt}=\frac{1}{2} \frac{dh}{dt}[/tex]
So,
[tex]\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) (2 (\frac{1}{2} \frac{dh}{dt}h)+ r \frac{dh}{dt})\\\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) ( \frac{dh}{dt}h+ r \frac{dh}{dt})\\\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) ( h+\frac{1}{2}h) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{6}\pi h(\frac{3h}{2}) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{6}\pi (\frac{3h^2}{2}) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{12}\pi 3h^2 \frac{dh}{dt}[/tex]
We are given that Water is poured into a conical paper cup at the rate of 3 cubic centimeters (cm) per second (s).
We are supposed to find how fast the water level is rising at the instant the water is 4 cm deep.
So,[tex]\frac{1}{12}\pi 3(4)^2 \frac{dh}{dt}=3\\\frac{dh}{dt}=\frac{3 \times 12}{\pi 3(4)^2 }=0.238[/tex]
Hence the water level is rising at the rate 0.238 cm per second
The radius in terms of height is [tex]\mathbf{r =\frac 12h}[/tex], while the water level increases at 0.239 cm per second when the height is 4 cm
(a) Radius in terms of height
The given parameters are:
[tex]\mathbf{h = 8cm}[/tex] --- height
[tex]\mathbf{r = 4cm}[/tex] --- radius
The above parameters can be written as:
[tex]\mathbf{r :h =4cm : 8cm}[/tex]
[tex]\mathbf{r :h =4 : 8}[/tex]
Express as fractions
[tex]\mathbf{\frac rh =\frac 48}[/tex]
[tex]\mathbf{\frac rh =\frac 12}[/tex]
Multiply both sides by h
[tex]\mathbf{r =\frac 12h}[/tex]
(b) How fast the water is rising
The volume of a cone is:
[tex]\mathbf{V = \frac 13 \pi r^2h}[/tex]
Differentiate with respect to time
[tex]\mathbf{V' = \frac 13 \pi(2rh\ \frac{dr}{dt} + r^2\frac{dh}{dt})}[/tex]
When the water is 4cm deep, then the radius is 2cm using [tex]\mathbf{r =\frac 12h}[/tex]
So, we have:
[tex]\mathbf{V' = \frac 13 \pi(2 \times 2 \times 4\times \frac{dr}{dt} + 2^2\frac{dh}{dt})}[/tex]
[tex]\mathbf{V' = \frac 13 \pi(16 \frac{dr}{dt} + 4\frac{dh}{dt})}[/tex]
Also, we have:
[tex]\mathbf{r =\frac 12h}[/tex]
Differentiate with respect to time
[tex]\mathbf{\frac{dr}{dt} = \frac{1}{2}\frac{dh}{dt}}[/tex]
So, we have:
[tex]\mathbf{V' = \frac 13 \pi(16 \times \frac{1}{2}\frac{dh}{dt} + 4\frac{dh}{dt})}[/tex]
[tex]\mathbf{V' = \frac 13 \pi(8\frac{dh}{dt} + 4\frac{dh}{dt})}[/tex]
[tex]\mathbf{V' = \frac 13 \pi(12\frac{dh}{dt})}[/tex]
Expand
[tex]\mathbf{V' = 4\pi\frac{dh}{dt}}[/tex]
The volume increases at 3 cm^3 per second.
So, we have:
[tex]\mathbf{3 = 4\pi\frac{dh}{dt}}[/tex]
Divide both sides by 4
[tex]\mathbf{0.75 = \pi\frac{dh}{dt}}[/tex]
Divide both sides by pi
[tex]\mathbf{0.239 = \frac{dh}{dt}}[/tex]
Rewrite as:
[tex]\mathbf{\frac{dh}{dt} = 0.239}[/tex]
Hence, the water level increases at 0.239 cm per second when the height is 4 cm
Read more about volumes at:
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24/9 + 8/1
What is the answer?
Answers
Answer:
Step-by-step explanation:
10.6_
Answer:
96/9 or 10 6/9 or 10 2/3
Step-by-step explanation:
Lets make common denominators first LCM(9,1)=9
8/1 x 9/9 = 72/9
24/9 + 72/9 = 96/9
Answer: 96/9 or 10 6/9 or 10 2/3
Hope this helps :D
find the slope of the line graphed below.
Answers
Answer:
Step-by-step explanation:
This is a trick. Since it's y=4. there is no slope, the slope is 0
help me please to get 10 points
Answers
Answer:
boi we cany even see the questio with yp andriod ahh camera
Step-by-step explanation:
While chasing its prey, a cheetah is running slowly and then increases its speed by 50.6 miles per hour to reach a top speed of 70 miles per hour. What is the cheetah's initial speed? And what is the answer in miles per hour
Answers
Answer:
The Cheetah's initial speed is 19.4 miles per hour
Step-by-step explanation:
Since the Cheetah is initially running and then gradually increases its speed by 50.6 miles per hour to reach a top speed of 70 miles per hour, let the Cheetah's initial speed be u.
Also, let the increase in the Cheetah's speed be Δu and let v be the Cheetah's final speed.
Now, the final speed, v = initial speed, u + change in speed, Δu
So, v = u + Δu
So, the Cheetah's initial speed is u = v - Δu
Now, v = 70 mi/h and Δu = 50.6 mi/h
Substituting v and Δu into the equation, we have
u = v - Δu
u = 70 mi/h - 50.6 mi/h
u = 19.4 mi/h
So, the Cheetah's initial speed is 19.4 miles per hour
Which inequality is graphed below?
Answers
Answer:
Step-by-step explanation:
a is the answer
Answer:
A
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What expression is equivalent to (-4y-x)-(3y-9x
Answers
Answer:
-7y+8x
Step-by-step explanation:
-7y+8x
PLEASE HELP ME ANWSER THISSS
Answers
Answer:
Step-by-step explanation:
Find the measure of the vertex angle ∠ABD of an isosceles triangle
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem
∠ABD=∠BAD= ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD= ------> the sum of the internal angles of a triangle is equal to
Step 2
Find the measure of the angle ∠CBD in the equilateral triangle
we know that
A equilateral triangle has three equal sides and three equal angles
The measure of the internal angle in a equilateral triangle is
so
∠CBD=
Step 3
Find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC=
therefore
the answer is
the measure of the angle ∠ABC is
how do u write hundredths like I literally forgot
Answers
Answer:
its the second number to the right of the decimal
Answer:
two zeroes at the end and if it is a number like 2400 the hundreths place is the 400
Step-by-step explanation:
how many kg are equal to 325 grams
Answers
Answer:
0.325
Step-by-step explanation:
thats it
Answer:
0.325 kg
Step-by-step explanation:
You move the decimal point three places to the left, and end up with 0.325 kg. :)
Somebody please help ?
Answers
Pls help me on this one.
Which statement describes the graph of the system of equations below?
1.5x + 0.2y = 2.68
1.6x + 0.3y = 2.98
A. The lines are parallel.
B. The lines overlap at all points.
C. The lines intersect at (1.6,1.4).
D. The lines intersect at (3.1,0.5).
Answers
The statement that describes the graph of the system of equations is:
C. The lines intersect at (1.6, 1.4).
Here, we have,
To determine the description of the graph of the system of equations:
1.5x + 0.2y = 2.68
1.6x + 0.3y = 2.98
We can start by comparing the slopes of the two lines.
The equations are in the form y = mx + b, where m represents the slope.
In the first equation, the slope is 0.2, and in the second equation, the slope is 0.3.
Since the slopes are different, we can conclude that the lines are not parallel (option A) or overlapping at all points (option B).
To determine the point of intersection, we can solve the system of equations.
By using any appropriate method, we find that the lines intersect at (1.6, 1.4) (option C).
Therefore, the statement that describes the graph of the system of equations is:
C. The lines intersect at (1.6, 1.4).
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Express the solution of, x^3 + 3x^2 < x + 3, using interval notation.
Answers
Answer:
Step-by-step explanation:
x^3+3x^2<x+3
(-∞,-3)∪(-1,1)
The admission fee at an amusement park is $2.25 for children and $6.80 for adults. 288 people entered the park, and the admission fees collected totaled 1194 dollars. How many children and how many adults were admitted?
Answers
Answer: Number of children = 168
Number of adults = 120
Step-by-step explanation:
Let x = Number of children and y = Number of adults
As per given,
x+y=288 (i)
2.25x+6.80y =1194 (ii)
Multiply 2.25 on both sides in (i)
2.25x+2.25y= 648 (iii)
Eliminate (iii) from (ii)
4.55y=546
[tex]\Rightarrow y=\dfrac{546}{4.55}\\\\\Rightarrow\ y=120[/tex]
Put y= 120 in (i)
x+120=288
⇒ x=288-120
⇒ x= 168
Hence, Number of children = 168
Number of adults = 120
HELP ME I WILL GIVE BRAINLIEST TO THE FIRST PERSON TO DO IT.
Answers
Step-by-step explanation:
Here you go,
number 7 = 26
number 9 = 66
number 8 = 79
number 6 = 31
I need help please!!!
Answers
Answer:
the answer is A
Step-by-step explanation:
hope this help
The price of a new car is $42,500. If sales tax is 9%, then how much will you pay in total for the car?
Answers
Answer:
$46325 in total for the car
Step-by-step explanation:
Which equation represents a line which is parallel to the line y = -6x – 1?
Answers
Answer:
6x+y=-8 because it will be y=-6x-8 having same slope with the line given
Question is on attached photograph.
Answers
Answer:
Here you go sorry.
Step-by-step explanation:
Question 1.
y = 4x - 8 has a slope of 4. Since parallel lines have equal slopes, the slope of your new line will also be 4.
Now, you have a point (3,9) and a slope 4. Use the Point-Slope Form for the equation of a line.
y - y1 = m(x - x1)
y - 9 = 4(x - 3)
y - 9 = 4x - 12
y = 4x - 3
Question 2.
Since it is parallel, it must have the same slope.
y = (1/2)x + b
Find b from the given point.
4 = (1/2)(2) + b
b = 3
y = (1/2)x + 3
Maggie is making a necklace using a 13-inch string and identical beads.
Maggie has placed 12 beads next to each other starting at the left end of the string as shown in the
figure
The 12 beads fill 3 inches of the string. How many total beads will completely fill the 13-inch string
Answers
Answer:
52
Step-by-step explanation:
First find out how many beads cover 1 inch of the string which is 4 beads then multiply that number, 4, by the length of the string, 13. You should get 52.
Answer: 52
Part A
Why?
So for this question. You can write a ratio what will the balance be what information do they give you that you can register as a ratio? Well, what will the ratio be?
OK, THE WORK IS HERE!--v
So 12 beads are the ratio.
Now what do we want to know? Well, we want to know how to solve it.
1. 12b= __
3in= 13in <---------well-known way people use it to solve
--------------------------------------------------------------------------------------------------------------------------------
2. 12b divided by 12 = 1b
3in divided by 12= ____->ANSWER: 0.25 <----- Not that many people do it this way
for 2. solve-v
1b = ___ ANSWER: 52
0.25 13in 1 We can do this 13 divided by 0.25 which is 52
SO FOR PART A THE ANSWER IS 52
--------------------------------------------------------------------------------------------------------------------------------
ANSWER: Part B is __
Why?
-1in off here----------------------------1in off here-
And she wants to keep The middle part and we know this whole thing is 13 but the middle part = 11. Sooooooo...
1b = ___ANSWER 8
0.25 = 2in so now we can do this: 2 divided by 0.25 which we get 8
ANSWER FOR PART B IS 8
Kenwyn is making flower arrangements for invent the table shows the number of flower arrangement F can make an M minutes which equation represents the relationship between the number of flower arrangement she can make in the time in minutes it takes her to make a flower arrangements
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Suppose the area of a rectangular paper parachute used for disaster relief is 260 square feet. If one side of the parachute measures 2x + 4 and another side measures 8x + 2, what is the value of x?
Answers
Answer:
x= 2.6ftStep-by-step explanation:
Step one:
given
A= 260ft^2
W= 2x + 4
B=8x + 2
Step two:
A=L*W
260=(2x+4)*(8x + 2)
open bracket
260=16x^24x+32x+8
16x^2+56x-252=0
Solving using quadratic formula
the roots are
x=-6.0
x= 2.6
Hence the value of x= 2.6ft
question 10 pls help
Answers
Answer:
D
Step-by-step explanation:
you have to look close so you can see, but i need immediate help- i’ll make you a brainliest!!!
Answers
Answer:
y=2x+1
Step-by-step explanation:
if you start at 1 on the y axis and go up 2 and over 1, you get the start of the line
solve for each term
S + H = 256
S + B + H = 260
S + C + B = 230
S + C + B + C = 360
Answers
Answer:
thx
Step-by-step explanation:
Solve -4.m - 6 + 6-m = -5 + 2m - 1
Answers
Answer:
m= 6/7
decimal form m= 0.857
Step-by-step explanation:
hope this helps
Answer:
m=6/7
m=0.857...
Step-by-step explanation:
-4m - 6 + 6-m = -5 + 2m - 1
-5m-6+6=-5+2m-1
-5m=-5+2m-1
-5m=2m-5-1
-5m=2m-6
-5m-2m=2m-6-2m
-7m=-6
divide both sides by -7
x=6/7
What is the slope-intercept form of the equation of the line that passes through the point (-6,1), and is perpendicular to the graph of 2x + 3y = -5
Answers
Answer:
Y= -3/2x-8
Step-by-step explanation:
alice arranges 42 blocks in 7 equal rows how many blocks are in each row
I NEED THIS ACAP
Answers
Answer:
There are 6 blocks in each row
Step-by-step explanation:
The total number of blocks is 42 and the number of rows is 7. So the equation would be 42 ÷ 7.
So, 42 ÷ 7 = 6. There are 6 blocks in each row.
Hope this Helps!
Total number of row is 6 row.
Given that;
Total number of block = 42 block
Total number i=of block in each row = 7
Find:
Total number of row
Computation:
Total number of row = Total number of block / Total number i=of block in each row
Total number of row = 42 / 7
Total number of row = 6
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50 POINTS! For the Transformation T, write the T-1.
T : (x, y) (x, y)
T -1 (x, y)
A. ( x, y)
B. (½ x, ½ y)
C. ( x - 1, y - 1)
Answers
Answer:
the answer is c I think, I'm sorry if it is wrong, but I'm pretty sure it's right
Answer:
C
Step-by-step explanation:
