Which option best shows X > -8
The answer is on the picture.
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.
Answer:
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Step-by-step explanation:
Surface area of a snowball:
A snowball has a spheric format, which means that it's surface area is given by:
[tex]A = 4\pi r^2[/tex]
In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:
[tex]A = 4\pi(\frac{d}{2})^2 = \pi d^2[/tex]
Solving the question:
To solve this question, we have to implicitly derivate the area in function of t. So
[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Snowball melts so that its surface area decreases at a rate of 3 cm2/min
This means that [tex]\frac{dA}{dt} = -3[/tex]
Find the rate at which the diameter decreases when the diameter is 10 cm.
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So
[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-3 = 20\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{3}{20\pi}[/tex]
[tex]\frac{dd}{dt} = -0.0477[/tex]
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
multiply x+3, x-4 and x+1 in horizontal format
Answer:
x^3−13x−12
Step-by-step explanation:
(x+3)(x-4)(x+1) I am guessing this is "horizontal format"
if this is what you meant the answer is x^3−13x−12
PLEEEEEEEEAAAAAAAASSSSSS HELP MEEEEEEE
Answer:
i guess it is 54-11+7 , the second one
help with math please it means the world to me!!
Answer:
10 units^2
Step-by-step explanation:
WHat is the sum of the rational expressions below 3x+1/2x+7x/x+5
HELP ASAP
Find the distance CD rounded
to the nearest tenth.
C = (4.7) D = (7,11)
CD = [?]
LITT
Answer:
I believe the answer is 5.
ANSWER ASAP PLZ BRAINLYIST WILL BE GIVEN IF RIGHT
What is the value of x?
Answer:
8 × [tex]x[/tex] = 12 x 18
8[tex]x[/tex] = 216
[tex]x[/tex] = 27cm
Step-by-step explanation:
I use that formula because they are similar triangles! :)
Hope this helps!
For the function f (x) = 8 - x2 evaluate f (-2)
4
12
-32
0
Which of the following is a quadratic function?
f(x) = 2^x
f(x) = 1-8x^2
f(x) = 6x+3
f(x) = 0x^2+9x-12
Answer: b
Step-by-step explanation:
Just took the quiz
please help me with this it is about how wide the patio doors will be
9 centimetres is probably most accurate
Answer:
36cm
Step-by-step explanation:
A system consists of two components A and B that operate independently. The system
fails when either component fails. The probability that component A fails is 0.2, and
the probability that component B fails is 0.1. What is the probability that the system
fails?
Answer:
0.3
Step-by-step explanation:
When one component fails, so does the other one.
a + b = P
0.1 + 0.2 = 0.3
Your answer would be 0.3 or 30%.
Hope this helps. Have a nice day.
Urgent 35 points !!! What should the radius of
your container be?
Answer:
2.88 inStep-by-step explanation:
Volume formula:
V = 4/3πr³Find r if V = 100 in³:
4/3πr³ = 100πr³ = 100*3/4πr³ =75r³ = 75/3.14r³ = 23.88r = ∛23.88r = 2.88 in (rounded)Find ONLY the measure of angle A (just the number): *
20 points
Answer:
360 - 169 equals 191
Step-by-step explanation:
191
Solve −2x−4=3x+1
by graphing.
The solution is x=
Answer: x=-1
Step-by-step explanation:
A spinner with the colors red, yellow, green, and blue is spun. If you are trying to find the probability of the spinner landing on red or green, how many desired outcomes are there?
Answer:
50
Step-by-step explanation:
you dont want blue or yellow but you want red or green which means it is 2 agast 2 and 2+2 is 4 and 4 divided by 2 is 50%
In the manufacturing division of a particular company, there are 68 hourly employees and 30 for salaried employees to employees from the manufacturing division are randomly selected to represent the company and I'm coming conference what is the probability that both employees have the same type of pay structure
There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they
do not use the swimming pool?
Answer:
1/13
Step-by-step explanation:
there are 10 people that use the gym and track and 10 is 1/13 of 130
HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The volume (V) of water in the tank is calculated as
V = lbh (l is length, b is breadth and h is height )
Here l = 80, b = 40 and h = 50 , then
V = 80 × 40 × 50 = 160000 cm³
V ( in litres) = 160000 ÷ 1000 = 160 litres , then
number of times = 160 ÷ 10 = 16
The table below shows Greg's scores at a state golf tournament. What is Greg's
average score for the five rounds?
A. -4
B. -3
C. -2
D. -1
Answer: d
Step-by-step explanation:
You add all of his scores up and divide them by how many numbers there are which 3+1+ -3+ -2+ -4 equals -5 and you divide them by the five numbers which gives you one
Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x
A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)
I labeled them all on Desmos & they all seem to lie on it, which is why I need help.
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Option A is the answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]
We need to substitute the values of x and y into the function and see if the equation holds true.
A. (12, 0)
Substituting x = 12 and y = 0 into the function, we get:
[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]
This does not equal y = 0, so (12, 0) does not lie on the graph of the function.
B. (-2, 48)
Substituting x = -2 and y = 48 into the function, we get:
[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]
This does not equal y = 48, so (-2, 48) does lie on the graph of the function.
C. (2, 3/16)
Substituting x = 2 and y = 3/16 into the function, we get:
[tex]f(2) = 3(1/4)^2 = 3/16[/tex]
This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.
D. (0, 3)
Substituting x = 0 and y = 3 into the function, we get:
[tex]f(0) = 3(1/4)^0 = 3[/tex]
This equals y = 3, so (0, 3) does lie on the graph of the function.
Therefore,
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Learn more about functions here:
https://brainly.com/question/28533782
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Need help please ?!!!!!
A water tank that holds 500 gallons leaks LaTeX: \frac{1}{2}1 2 gallon of water every hour. What is the rate of change for the function that models the number of gallons in the tank for a given number of hours? (a) - 250 (b) - 0.5 (c) 0.5 (d) 250
Answer:
250
Step-by-step explanation:
I need help with math:
Which equation matches this table?
X 15 9 16 11 13
Y 11 5 12 7 9
1. y = x + 3
2. y = x - 3
3. y = x - 4
4. y = x + 4
Answer:
3
Step-by-step explanation:
13-4=9
11-4=7
16-4=12
9-4=5
15-4=11
Answer: y = x-4
Step-by-step explanation:
15 - 4 = 11
9 - 4 = 5
16 - 4 = 12
11 - 4 = 7
13 - 4 = 9
hopes this helps!!! :3
I need help with my homework
If Mandy wants to put pictures on the shelf and each picture frame is 8 1/3 in wide,
how many pictures can Mandy put on the 3 3/8 foot shelf?
Answer: 4 frames
Step-by-step explanation:
Of the 220 tickets available for a school play,45% have been sold. What is the number of tickets that have sold?(pls help due very soon!)
Find the volume of the rectangular prism. 1 ft 2 6 ft 1 3 2 ft The volume is 1
Answer:
31.5 or 31 1/2
Step-by-step explanation:
The formula for volume of a rectangular prism is lwh or length times width times height.
Multiply the numbers and you get 31.5 or 31 1/2
Hint: It is easier to multiply mixed numbers when converting them to decimals. When you are done just convert it back to a fraction if needed. :)
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Answer:
try
Step-by-step explanation:
try solving it on ur own or take a educated guess
NO LINKS PLEASE and make sure it's correct.
Answer:
the answer is place value
Step-by-step explanation: