Express 44 copies in 4 minutes as a unit rate.
Answer:
11:1
Step-by-step explanation:
For every 11 copies, 1 minute passes. Four minutes passed in this case and thus 11*4 would equal 44 and 1*4 would equal 4.
HELP PLEASE I NEED HELP ASAP!!
PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?
Question 1 options:
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
The answer would be:
8 and -1/8
1 and -1
And could be 0 and undefined, but I'm not 100% sure
The weight of 100 identical samples of a substance is 0.01 pounds.
What is the weight of 10,000 samples?
0.01/100 = 0.0001 x 1000 = 0.1lb
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
Learn more:
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Pls tell me I really need help
Answer:
The answer is C or 44/12
Step-by-step explanation:
1/2 is equivalent to 3/6
1 4/6 is equivalent to 1 4/6 or 10/6
1 2/4 is equivalent to 1 3/6 or 9/6
When you add all of these together you get 22/6
Then you multiply 22/6 by 2 to get 44/12
Write the fraction as a decimal.
16/5
Answer:
3.2
Step-by-step explanation:
Susan answered 60% of the test questions correctly. She answered
21 questions correctly. How many questions were on the test?
A. 12.6
B. 56
C. 35
D. 21
Answer the questions below. Write your answers in simplest form.
(a) A square has a perimeter of 100 yd. What is the length of each side?
yd
Answer:
25 yds
Step-by-step explanation:
Since it is a square all sides are equal and there are 4 sides so you divide the perimeter, 100, by 4 to get 25 yds.
solve. -1/2 + (3/4 x 4/9) =
A. 1/9
B. -1/5
C. 5/6
D -1/6
Answer:
D, -1/6
Step-by-step explanation:
-1/2+(3/4*4/9)
Multiply equation inside the parentheses
3/4*4/9=12/36=1/3
Substitute 1/3 into original equation
-1/2+1/3=1/3-1/2
Make denominators the same
2/6-3/6
Simplify
-1/6, D
Whoever answers gets brainlist!
Answer:
21 over 6 (21/6)
26 over 6 (26/6) =47 over 6 (47/6)
your final answer is 7 5/6
Step-by-step explanation:
Step-by-step explanation:
[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]
Which simplifies to:
[tex] \frac{21}{6} + \frac{30}{6} [/tex]
When added is:
[tex] \frac{51}{6} [/tex]
When transformed back into a Mixed Fraction:
[tex]8 \frac{3}{6} [/tex]
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
evaluate -5 - 15 + 4 + 15
Answer:
Step-by-step explanation:
-5+-15= -20
4+15= 19
-20+19
-1
Answer:
-1
Step-by-step explanation:
-5 - 15 + 4 + 15
-20 + 19
-1
plzzzzz mark me brainliest
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
A tree diagram. Random student to studies for test is 0.6, and to does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.
The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher?
0.45
0.46
0.54
0.59
Answer:
.54
Step-by-step explanation:
The probability is 33%.
what is probability?The probability is the measure of the likelihood of an event to happen.
Given:
Random student to studies for test is 0.6, and to does not study for test is 0.4.
Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45.
Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.
P(A) =55%
P(B)= 20%
60% of the students study.
So, the probability that a student studies, and gets B or higher is:
Probability =P(A) * 0.6
P= 55* 0.6
Probability = 33%
Hence, the probability is 33%
Learn more about probabilities here:
brainly.com/question/10837034
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A submarine dived 172 ft and 4 minutes find the average change in depth from the submarine each minute
Answer:
43 ft per minute
Step-by-step explanation:
divide 172 by 4 to get the feet per 1 minute
Solve for x. (Simplify)
Answer:
x = 8.75
Step-by-step explanation:
the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]
x = 8.75
Solve the inequality. 2(4x – 3)-3(3x) + + 5x?
Answer:
2 (2 x - 3)
Step-by-step explanation:
Simplify the following:
2 (4 x - 3) - 3×3 x + 5 x
-3×3 = -9:
2 (4 x - 3) + -9 x + 5 x
Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):
2 (4 x - 3) + (5 x - 9 x)
5 x - 9 x = -4 x:
2 (4 x - 3) + -4 x
2 (4 x - 3) = 8 x - 6:
8 x - 6 - 4 x
Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:
(8 x - 4 x) - 6
8 x - 4 x = 4 x:
4 x - 6
Factor 2 out of 4 x - 6:
Answer: 2 (2 x - 3)
What is the value of x in the equation 3/4(1/4x+8) - (1/2x+2)=3/8(4-x)-1/4x
Answer:
value of x is 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A stray dog ate 30 of your muffins. That was 5/7 of all of them! How many are left?
Answer:
42
Step-by-step explanation:
5/7x=30
x=42
Answer:
40
Step-by-step explanation:
so the answer to
Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc
is 3?
Answer:
The answer is C=4. Hope it helps :)
what is the solution of the following? *
-4 = 16
Infinite solutions
no solution
Answer: no solution
Hope this helps and good luck :)
Step-by-step explanation:
what is the slope for (1,3) and (1,-2)
Answer:
-6
Step-by-step explanation:
-2-3/1-1
k=10/8
ggggggggggggggggggg
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
help in the next 2 mins!!! -4+7-3
Answer:
0
Step-by-step explanation:
-4+7-3=0
-4+7=3
3-3=0
Answer is 0
twelve increased by a number
Answer:
12+# OR 12+x
Step-by-step explanation:
Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.
Shamus owes his parents $162 he pays them 60% of the $45 he earns as a soccer referee each week. how many weeks will it take shamus to pay all of the money he owes his parents?
Answer:
24
Step-by-step explanation:
so knnd
Answer: 24 is wrong
Step-by-step explanation:
an angle measures 94°. what is the measure of its supplement?
Answer:
86
Step-by-step explanation:
180-94
Graph a line through (2,-5) and have a slope of -4
im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3
Answers above on the picture^ thank you:)
Answer:
#3
Step-by-step explanation: