Answer:
A)
[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]
B)
[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]
Step-by-step explanation:
x and y are differentiable functions of t, and we are given the equation:
[tex]xy=6[/tex]
First, let's differentiate both sides of the equation with respect to t. So:
[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]
By the Product Rule and rewriting:
[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]
Therefore:
[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]
A)
We want to find dy/dt when x = 4 and dx/dt = 11.
Using our original equation, find y when x = 4:
[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]
Therefore:
[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]
Solve for dy/dt:
[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]
B)
We want to find dx/dt when x = 1 and dy/dt = -9.
Again, using our original equation, find y when x = 1:
[tex](1)y=6\Rightarrow y=6[/tex]
Therefore:
[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]
Solve for dx/dt:
[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]
1. A new book bag costs $45. If it is on sale for 25% off and a tax of 7%, how much would it
cost?
Answer:
I believe it would be $31.39
Step-by-step explanation:
Original Price - $45
Price With Sale And Tax $31.39
Hope that helps!
ella deposits $8000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 4 years?
Please help me in this. ASAP!
Answer:
Thermal energy -- sand on beach feels warm to touch
Gravitational potential energy -- a piece of fruit hanging from a tree
Electric energy -- Lightning produced during a storm
Kinetic energy -- A box moving along a conveyer belt
Radiant energy -- Radio waves transmitted from a tower
Step-by-step explanation:
PLZ mark me as brainliest
a rectangular prism and its dimensions are shown in the diagram.
what is the total surface area of this prism in square inches?
Answer:
Volume is 243.75
Step-by-step explanation:
v=(7.5)(5)(6.5)=243.75
Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find how much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.
Answer:
$2,407.5
Step-by-step explanation:
To solve this question, we will use the formula for calculating the amount formula as shown;
A =P(1+r)^n
Given that;
P = #$1300
r = 4.5% = 0.045
t = 14years
Substitute
A = 1300(1+0.045)^14
A = 1300(1.045)^14
A = 1300(1.8519)
A = 2,407.5
Hence Isabella would have $2,407.5 in her account after 14years
tom and tyler race starting at the bottom of their cuboids to reach a crumb in the bottom corner. If they take the fastest route, who wins?
Answer:
tie the answeris tie becauseit says tom AND tyler
Step-by-step explanation:
i think its tie or no one won
Find the measure of ∠ J. (Hint: You must find the value of x first)
Answer:
35°
Step-by-step explanation:
set it equal to 180 because the total sum of the interior angles of a triangle is equal to 180
x+x-15+95=180
2x+80=180
2x=100
x=50
now plug it in
50 - 15 = 35
answer
35°
Step-by-step explanation:
set it equal to 180 because the total sum of the interior angles of a triangle is equal to 180
x+x-15+95=180
2x+80=180
2x=100
x=50
now plug it in
50 - 15 = 35
PLEASES HELP
I need help on this question the screenshot are down below
Answer:
D would be the answer
Step-by-step explanation:
PLEASE HELP I NEED THE POINTS FOR THIS QUESTION, ILL GIVE BRAINLIEST
To qualify as a contestant in a race a runner Has to be the fastest 16% of all applicants. The running times are normally distributed, with a mean of 63 minutes and a standard deviation of 5 minutes. to the nearest minute, what is the qualifying time for the race?
Answer:
it is within 5 minutes ahead or behind 5 minutes of 64 minutes
let me know if it´s wrong
Need help for this question asap please
Answer:
option 4 = 25
Step-by-step explanation:
given= chord js and hL intersects at poimt p
to find = value of x
solution:according to the therom;
if the line extensions of the chordJS and HL INTERSECTS at point K then their lenghts satisfy
JK×KS=HK×KL
10×30=X×12
300=12x
300/12=x
25= x
HELP ASAP
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX? 5° 15° 75° 150°
That sounds horrible
The Snyder family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?
Answer: 4 gallons per day
Step-by-step explanation:
From the question, we are informed that the Snyder family uses up a 12 -gallon jug of milk every 3 days.
The rate at which they drink milk will be gotten by dividing the gallons of milk they drink by the number of days. This will be:
= 12/3
= 4 gallons per day
Therefore, the rate they use in taking milk is 4 gallons per day.
Is there a linear relationship between the radius and the volume of these cylinders? Explain how you know.
Answer:
The relationship between r and V is not linear.
Step-by-step explanation:
The volume increases exponentially as r increases linearly.
Volume of a cylinder is directly proportional to the square of its radius, we can say that there is a linear relationship between the radius and the volume of a cylinder.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Volume of a cylinder is V = πr²h,
where r is the radius
h is the height of the cylinder.
If we keep the height of the cylinder constant and vary the radius, we can see that the volume of the cylinder increases as the radius increases.
In fact, we can express this relationship as a linear equation in the form of y = mx + b,
where y is the volume, x is the radius, m is the slope, and b is the y-intercept.
By rearranging the volume formula, we get V = πr²h, which can be written as y = mx + b, where m = πh and b = 0.
Therefore, since the volume of a cylinder is directly proportional to the square of its radius, we can say that there is a linear relationship between the radius and the volume of a cylinder.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Answer this question to get marked as barinliest!!!!!
Answer:
It is 16.
Step-by-step explanation:
Triangles add up to 180 degrees. 58+56=114 which you subtract 180-114 to get 66. 66-2 is 64 and 64 divided by 4 is 16. r=16
y – 10 = -2(x + 9)
Use the following
equation that is in
point sope form and
simpify into siope
intercept form
Then identify the
slope and intercept
of the line.
ya
Answer:
slope intercept form
y=-2x-8
m=-2
y-intercept = (0,-8)
A cereal box is 9 1/2 inches long, 2 1/2 inches wide, and 12 inches high. What is the volume of the box?
Answer:
(19/2)inches × (5/2) inches × 12inches
9.5×2.5×12=285
What is the approximate area?
Answer:
71.77cm
Step-by-step explanation:
Answer:
71.76 cm^2
Step-by-step explanation:
The composite figure is made up of a rectangle with a missing half circle and a triangle.
area = area of rectangle + area of triangle - area of half circle
For the circle, radius = r = diameter/2 = 7 cm/2 = 3.5 cm.
area = LW + bh/2 - (pi)r^2/2
area = 10 cm * 7 cm + 7 cm * 6 cm/2 + (3.14)(3.5 cm)^2/2
area = 70 cm^2 + 21 cm^2 - 19.24 cm^2
area = 71.77 cm^2
Answer: 71.76 cm^2
whts 5/8 - 2/4
plz help will mark brainliest
and i will give 30 points
Answer:
5/8 - 2/4 = 1/8
(Hope this helps! Btw, I answered first. Brainliest please! :D)
Angle A and Angle B are supplementary angles. If angles A = 65, find the m Angle B.
Answer:
B = 115
Step-by-step explanation:
Since A and B are supplementary, they add up to 180 degrees.
Thus, 65 + B = 180, and B = 115
can you guys pls help me
I’ll give BRAINLIEST
Answer:
E. 18 on each van and 40 on each bus
Step-by-step explanation:
3(18) + 5(40) = 254 and 10(18) + 10(40) = 580
You have cup of cornmeal in your cupboard. A recipe for muffins calls for
cup of cornmeal. How much cornmeal would you have left if you made the
muffins?
What is the value of x?
In a right triangle, the hypotenuse is √2 x the legs. In this case, the value of x is [tex]\frac{18}{\sqrt{2} } =\frac{18\sqrt{2} }{2} =9\sqrt{2}[/tex].
Which set of ordered pairs is included in this relation?
A {(-5, 4), (-3, 2), (2, -1), (3, 0)}
B {(-4, 1), (-2, -5), (1, -2), (5, 2)}
C {(-3, -2), (0, 3), (1, -2), (4, 1)]
D {(-2,-5), (-1, 4), (2, -1), (3, 0)}
A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none
Answer:
none or vertical
Step-by-step explanation:
I think sorry if I get that wrong
PLZ HELP QUIK PLZ HELP PLZ
Answer:
(x,y) = (-2,7)
Step-by-step explanation:
7x+2y=0
9x+4y=10
y = -9x/4 + 5/2
7x+2 (-9x/4 + 5/2) = 0
5x/2 = -5
5x = -10
x = -2
use x and substitute to get y
y = -(9/4) (-2) +5/2 = 7
Does anyone know how to do this
a1=9
a_n= a_n-1 -4
If a house is built on sand is sinking at a rate of two inches per day which is the change in the height above ground of the house after 11 days
Answer:
Height of the house will reduce by 22 feet after 11 days.
Step-by-step explanation:
A house is sinking at the rate of 2 inches per day.
That means rate of sinking of the house is 2 inches in a day.
Therefore, house will sink or change in height of the house in 11 days
= Rate o change in height × Number of days
= 2 × 11
= 22 feet
Height of the house will reduce by 22 feet after 11 days.
hi please help thank you i’ll give brainliest
Answer:
Decomposers
Step-by-step explanation:
They are breaking down waste sometimes decomposers break down other dead organisms as well.
Answer:
decomposers. hope i helped!
Step-by-step explanation:
decomposers are bacteria who eat dead things or droppings!
Plz answer quickly will you brainlist
Step-by-step explanation:
A' (1,4)
B' (5,8)
C'( 5,4)
D' (3,2)
you're graph was hard to read. but basically turn all the negative x values of the original shape into positive x values