Answer:
Answer: d) -310pi
Step-by-step explanation:
Instantaneous Rate of Change
Is the change in the rate of change of a function at a particular instant. It's the same as the derivative value at a specific point.
The surface area of a cylinder of radius r and height h is:
[tex]A=2\pi r^2+2\pi r h[/tex]
We need to calculate the rate of change of the surface area of the cylinder at a specific moment where:
The radius is r=8 mm
The height is h=3 mm
The radius changes at r'=-9 mm/hr
The height changes at h'=+2 mm/hr
Find the derivative of A with respect to time:
[tex]A'=2\pi (r^2)'+2\pi (r h)'[/tex]
[tex]A'=2\pi 2rr'+2\pi (r' h+rh')[/tex]
Substituting the values:
[tex]A'=2\pi 2(8)(-9)+2\pi ((-9) (3)+(8)(2))[/tex]
Calculating:
[tex]A'=-288\pi +2\pi (-27+16)[/tex]
[tex]A'=-288\pi +2\pi (-11)[/tex]
[tex]A'=-288\pi -22\pi[/tex]
[tex]A'=-310\pi[/tex]
Answer: d) -310pi
Solve equations with variables on both sides 6 - x = 5x + 30
The solution to the equation 6 - x = 5x + 30 is x = -4.
We have,
To solve the equation 6 - x = 5x + 30, we can start by bringing all the variables to one side and the constants to the other side of the equation. Here's the step-by-step solution:
Start with the equation: 6 - x = 5x + 30.
To eliminate the variable terms on the right side, subtract 5x from both sides of the equation:
(6 - x) - 5x = 5x + 30 - 5x.
Simplifying the left side gives: 6 - x - 5x = 30.
Combining like terms on the left side yields: 6 - 6x = 30.
Now, isolate the term with the variable.
Move the constant term (6) to the right side by subtracting it from both sides of the equation:
6 - 6x - 6 = 30 - 6.
Simplifying both sides gives: -6x = 24.
To solve for x, divide both sides of the equation by -6:
(-6x) / -6 = 24 / -6.
Simplifying gives: x = -4.
Therefore,
The solution to the equation 6 - x = 5x + 30 is x = -4.
Learn more about equations here:
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triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquality
9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
a+b > c ⇒ 3n+3 > 3n-2 . . . always trueb+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
Answer:
M- B M-A M-C
Step-by-step explanation:
yw
what is the least common denominator of2/3and 5/8
Answer:
16
Step-by-step explanation:
3 and 8 can both go into 16
is 0.59 a repeating decimal
Answer:
No
Step-by-step explanation:
can someone help plzzz asappp :///
Answer:
I believe answer choice A
Step-by-step explanation:
Answer:
I thin that the answer is A
Step-by-step explanation:
Which ordered pair is the solution to the system of equations? {−3x+4y=−20y=x−4 (−4, −8) (4, 8) (−2, −6) (0, −5)
Answer:
Step-by-step explanation:
-3x + 4y = -20
y = x - 4
Put the second equation into the first equation in place of y.
-3x + 4 (x - 4) = -20
Multiply everything in the parenthesis by 4.
-3x + 4x - 16 = -20
Combine like terms.
x - 16 = -20
Add 16 to both sides.
x = -4
Put this into the second equation in place of x.
y = -4 - 4
y = -8
Your solution set is (-4,-8).
Hope this helps!
Answer:
(-4,8)
Step-by-step explanation:
Help!! Its a photo but I need help on it quick!!! Ty if you help me!
Answer:
36
Step-by-step explanation:
Instructions: Find the missing angle in the image below. Do not include spaces in your answers. If you are using a screen-reader, please consult your instructor for assistance. m∠DCF= ∘
1
Find the slope of the following graph and write your result in the empty box.
Answer:
Answer:
y = 2x
Step-by-step explanation:
Slope = [tex]\frac{y}{x} =\frac{2}{1}[/tex]
Item 7
Use the Distributive Property to simplify the expression.
9(3+c+4) =
ty
Which is the factorization of 8x2 + 13x – 6
Answer:
(8x−3)(x+2)
Step-by-step explanation:
Factor 8x2+13x−6
8x2+13x−6
=(8x−3)(x+2)
Answer:
13x + 10
Step-by-step explanation:
What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}
Answer:
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
Step-by-step explanation:
The domain is the set of the x-coordinates.
The range is the set of the y-coordinates.
If any value appears more than once as an x-coordinate, it is not a function.
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
What is the discriminant of the quadratic equation
7x^2-4x+5=0
Answer:
[tex]\Delta=-124[/tex]
Step-by-step explanation:
The discriminant for a quadratic in standard form is given by the formula:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]7x^2-4x+5=0[/tex]
Hence, a=7; b=-4; and c=5.
Therefore, our discriminant will be:
[tex]\Delta=(-4)^2-4(7)(5)[/tex]
Evaluate. Hence, our discriminant is:
[tex]\Delta=16-140=-124[/tex]
Notes:
Since our discriminant is negative, this tells us that the quadratic has no real roots.
Answer:
-124
Step-by-step explanation:
The discriminant is given by
b^2 -4ac where ax^2 + bx+c =0
7x^2-4x+5=0 so a = 7 b = -4 and c = 5
( -4) ^2 - 4(7) ( 5)
16 - 140
-124
$4.50 plus $3.60 per mile. Patrick paid $28.80 to ride a shuttle bus into the city. How many miles did Patrick ride on the shuttle bus?
I'm very sorry but i don't know the answer to this queshtion
Find the quotient: (16x + 24x2) = 2x
Answer:
48x=2x
Step-by-step explanation:
im big brain can i get brainilest
find the value of x. A.12 B.30 C.9 D. 21.75
Answer:
i need help my self keep trying
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
The answer is 5 cups...
An 11-inch string is cut into 3 equal pieces. Which expression shows the length of each piece?
A. 11/3
B. 1/11 of 3
C. 3 divided by 11
D. 3÷11
Answer:
a
Step-by-step explanation:
11/3 (eleven divided by three)
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 47 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Complete question :
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Answer:
1.4 miles
Step-by-step explanation:
Given that :
Ned's home and park are on the same straight road :
Store where Ned stopped is 4/7 of the way to the park
Bikes the remaining 0.6 miles to the park
Hence after traveling 4/7 of the distance, distance to park is 0.6 miles
Hence, 1 - 4/7 = 3/7
Hence, 3/7 of the way = 0.6 miles
If 3/7 = 0.6 miles
Then, 1 = x
Cross multiply
3/7 x = 0.6
3x = 4.2
x = 4.2 / 3
x = 1.4 miles
The distance from Ned's home to park is 1.4 miles
The distance between Ned's home and the park is 1.4 miles.
Ned is riding his bike from his house to the park, both of which are on the same straight road.
At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.
The fraction of the distance yet to be covered is,
[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]
Now, the remaining distance is given that is 0.6 mile.
Therefore,
[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]
Thus, the distance between Ned's home and the park is 1.4 miles.
To know more about it, please refer to the link:
https://brainly.com/question/24379068
The Marine Discovery Aquarium sells ocean-themed cookies in their gift shop. Last month, they sold 65 shark cookies and 85 clown fish cookies. The cookies were so popular that they want to order more cookies this month. They plan to order 170 clown fish cookies this month. If they keep the same ratio, how many shark cookies should they order this month?
Answer: 130 shark cookies.
Step-by-step explanation: If you divided 170 clown fidh cookies by 85 clown fish cookies you get 2. So same as 85 times 2. Then do the same with the shark cookies. 65 times 2, that equals 130.
What is the domian of y=4[x+2]
Answer:
I'm pretty sure The domain of y=4[x+2] is (-infinity, infinity)
( − ∞ , ∞ ) , { x | x ∈ R }
Eugene has five payments left to make on his computer. If each payment is $157.90, how much does he still owe?
$157.90 x 5 = $789.50
He still owes $789.50
pleaseee help meee!!!!!!! :)
Answer:
the answer to your question is (1,-2)
Answer: y=2x-1
This is the answer
Step-by-step explanation:
I fix the answer
13/14% of a quantity is equal to what fraction of the quantity?
Chris and Sean live on Main Street. Chris lives7 blocks east of Center Avenue, and Sean
lives 10 blocks west of Center Avenue. How far apart do Chris and Sean live from each
other?
Answer:
17 blocks
Step-by-step explanation:
17 blocks because if you draw it on a number line they are opposite sides of the number line so you would do 7+10 which is 17.
Can u answer this. This ain’t 20 characters long, why.
Answer:
Step-by-step explanation:
slope is 3/4.
I'm pretty sure, cuz it's rise/run
write 0.63 repeating as a fraction in simplest form
Answer:
2
Step-by-step explanation:
8=
Answer:
63/100 (the simplest form)
Step-by-step explanation:
1. Covert decimal into fraction:
0.63 = 63/100
2. Simplify (1 is the greatest common divisor of 63 and 100. The result can't be further reduced):
63/100
h+9.5= -9.5
find h. help pls, thank you
Help me please I need help with this
Answer:
A
You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.
Write an equation of a line that is (a) parallel to the given line and (b)
perpendicular to the given line.
can you answer 7 too ?
Answer:
for question 7 : I think it is no
Step-by-step explanation:
if you plot the points on a quick rough sketch you will find that none of the coordinates are on the same line (which they would have to be for a straight line). No points in those 3 coordinates are the same so the there cannot be two points on the same x or y coordiante therefore there is no right-angles triangle.
If you plot the points roughly there will not be two perpendicular lines so there is no right-angles triangle.
sorry I realise this is confusing :(
Also for Question 5:
Parallel should be anything y= for example, y=6
Perpendicular should be anything x= for example x=6 as y=7 is a horizontal line and x=6 is a vertical line. Y=6 would be parallel because y=(any number with no gradient e.g. 1,2,3,4,etc.) is horizontal.