Answer:
line CN is the altitude and AE is the median if i am correct
Step-by-step explanation:
b =
m =
Equation: y =
Answer:
..........................................
Step-by-step explanation:
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please help i dont want to fail
Answer: -2.2
Step-by-step explanation:
Answer:
-3/5 which is the third line between 0 and -1 if you're going back from 0.
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
PLEASE HELP FAST AS A MIXED RADICAL READ IT CARFULLY BRAINLIST!
Answer:
[tex]2\sqrt[3]{2}[/tex]
Step-by-step explanation:
This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]
how do you write 7/10 as a decimal Can someone please help me!!
Answer:
0.7
Step-by-step explanation:
To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.
6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2
Answer:
X= -4
Step-by-step explanation:
Hello. For to solve that, you need to use the sustitution method:
1. You need clear X in the first equation and put in the second
X+Y = -10
X = -10-Y
2. Y = X-2, then you replaced the X in this equation:
Y = (-10-Y) - 2
Y+2=-10-Y
2Y=-10-2
2Y= -12
Y= -12/2
Y=-6
3. Now you use the Y value for to solve X:
X=-10-Y, then
X =- 10-(-6)
X = -4
The solution of a system of equations with no solution describes what kind of lines?
options:
parallel
coincidental
perpendicular
intersecting
Answer:
parallel
Step-by-step explanation:
The answer is parallel because Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines
please answer this. thank you
Please Help me :)))))))))))
Answer:
35
Step-by-step explanation:
if GFL = 34 and GEL = 36 FLG would be 35
Pls help ASAP thanks :P
charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence
Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.
Step-by-step explanation:
Charlie bought 2 3/4 pounds of pears for $0.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound. How much money in dollars and cents did charlie pay for the pears and grapes.
Answer
Charlie paid $5.94
Step-by-step explanation:
0.76x2 3/4=2.09
1.40x2.75=3.85
3.85+2.09=$5.94
help me if u r a brainlist
Answer: ight bet
i/yes
ii/no
iii/no
iv/no
v/no
vi/no
Step-by-step explanation:
Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold
Answer:
Step-by-step explanation:
Let us represent
Let the wood bat = w
Let the base ball bats = b
Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold
System of Equations
w + b = 23.... Equation 1
b = 23 - w
24w + 30b = 606..... Equation 2
We substitute:30 - w for b
Hence:
24w + 30(23 - w) = 606
24w + 690 - 30w = 606
24w - 30w = 606 - 609
-6w = -84
w = -844/-6
w = 14 wood bats
b = 30 - 14
b = 16 base ball bts
what is 2,584,606.61 rounded to the nearest dollar?
if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] (x + 5)(x - 4)(x + 2) = [/tex]
[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]
[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
_________________________________
Compare :
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]
Thus :
[tex]a = 3[/tex]
and
[tex]b = - 40[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
NEED HEPP FAST MARKING PEOPLE AS BRAINLIST
Answer:
yes becasue their sides have the same length and angles
Step-by-step explanation:
please answer this. thank you
Answer: [tex](-\infty, -4][/tex]
Curved parenthesis at negative infinity
Square bracket at -4
====================================================
Work Shown:
[tex]5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\[/tex]
The last inequality shown above is the same as saying [tex]-\infty < x \le -4[/tex]
Converting this to interval notation leads to the final answer of [tex](-\infty , -4][/tex]
Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.
A map of Long Island has the scale 2.75 cm= 16km. On the map, target Rock is 23.2 cm from Lake Montauk. Find the distance from Target Rock to Lake Montauk. PLEASE HELP ASAP
Answer:
ytjyhyjhuyjhytujhyuhjnfh
Step-by-step explanation:
A 40-foot wire is attached to a pole and runs to the ground as shown below.
The pole is 35 feet tall.
About how far away from the pole is the wire attached to the ground?
Answer:
5 feet away
Step-by-step explanation:
i am not sure but did mental math
can someone help me
Answer:
A is a function
Step-by-step explanation:
Hope the image helps.
96 =-8(p-5)
help pls
Answer:
p = −7
Step-by-step explanation:
96=−8(p−5)
96=(−8)(p)+(−8)(−5)(Distribute)
96=−8p+40
Step 2: Flip the equation.
−8p+40=96
Step 3: Subtract 40 from both sides.
−8p+40−40=96−40
−8p=56
Step 4: Divide both sides by -8.
−8p /−8 = 56 /−8
Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?
Answer:
80%
90%
Step-by-step explanation:
BRAINLIEST PLEASE
180 = 16x -5+5х+4+90
Answer:
What is your question?
Step-by-step explanation:
Answer:
x=81.2
Step-by-step explanation:
sinπ÷14×sinπ÷14×sinπ÷14
Answer:
Step-by-step explanation:
??? do you need help or is this free points?
The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?
Answer:
I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)
Step-by-step explanation:
(excuse my handwriting on the ss its hard to write on a computer lol)
hope this helps :)
Jarrod sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sport cards?
Hello! Lets take a look.
To do this problem you would have to divide.
"75/9"
So what is the answer to that?
8!
Estimate a 15% tip on a dinner bill of $41.35 by first rounding the bill amount to the nearest ten dollars.
Answer:
Total you have to pay: $47.55
Tax amt: $6.20
Step-by-step explanation:
Multiply $41.35 by 1.15
How this works, when your increasing an amount you first change the percentage to a decimal number. Afterwards you add the decimal number
Ex: 1 + .15= 1.15
Or the opposite: 1 - .15= .85
Then multiply your original number by the number you got from the previous step.
Ex: $41.35 x 1.15=47.55
And to find how much you increase just do (Final amount-Initial Amount)
Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values x=0 and x=17. Explain your reasoning using complete sentences.
Answer:
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)
Then, the factorized form of [tex]q(x)[/tex] must be:
[tex]q(x) = x\cdot (x-17)[/tex] (2)
If we know that [tex]p(x) = 4[/tex], then the rational expression is:
[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
pls help with find the value of x
Answer:
x : 5
Step-by-step explanation:
I hope this is right! Good luck!