Answer:
The rate of decreasing of the length is 0.25 cm/s.
Step-by-step explanation:
The surface area of the ice cube is:
[tex]A_{ice}=6x^{2}[/tex]
Where x is the side of the cube.
Let's take the derivative of A with respect to "t" to get the rate of change.
[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]
We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.
[tex]6=12(2)\frac{dx}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]
Therefore, the rate of decreasing of the length is 0.25 cm/s.
I hope it helps you!
What is the product of 2,436 x 5 and show work
Answer:
12180
Step-by-step explanation:
Plz help me well mark brainliest!!
Answer:
735 mm³
Step-by-step explanation:
49 x 15 = 735
Answer:
735mm
Step-by-step explanation:
Please help me answer the question
You answered 85% of the questions on the quiz correctly. What fraction of
the questions did you answer correctly?
Answer:
A percentage is out of 100.
85/100
in lowest terms this is
17/20
Hope this helps :)
Step-by-step explanation:
What is the Kinetic Energy of a 15 kg object that is moving with a speed of 30 m/s?
Answer:
6750J
Step-by-step explanation:
30^2=900 900x15=13500 13500/2=6750
Answer:
K=6750[J]
Step-by-step explanation:
[tex]Kinetic \:Energy=\frac{1}{2} mv^2\\\\K=\frac{1}{2} (15)(30)^2\\\\K=6750[J][/tex]
A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 ft3 / sec sec . Find the rate of change of the radius of the surface of the water when the radius of the surface of the water is 2 2 ft. (You must also include the units)
Answer:
[tex]\frac{dr}{dt}=0.11062ft/sec[/tex]
Step-by-step explanation:
From the question we are told that:
Radius [tex]r=5ft[/tex]
Height [tex]H=15ft[/tex]
Rate [tex]R=15ft/3sec =5ft/s[/tex]
Surface Radius [tex]R_{surf}=2.2ft[/tex]
Generally the equation for Volume is mathematically given by
[tex]V=\frac{1}{3}\pi*r^2h[/tex]
Since radius to height ratio gives
[tex]\frac{r}{h}=\frac{5}{15}[/tex]
[tex]\frac{r}{h}=\frac{1}{3}[/tex]
[tex]h=3r[/tex]
Therefore
[tex]V=\frac{1}{3}\pi*r^2(3r)[/tex]
[tex]V=\pi r^3[/tex]
Generally the equation for Change of Volume is mathematically given by
[tex]\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)[/tex]
[tex]\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt}=\frac{5}{45.62}[/tex]
[tex]\frac{dr}{dt}=0.11062ft/sec[/tex]
A statistical question produces data that varies. Which question below will produce data that varies?
A. how many days are in a leap year
B. How many quarts are in a gallon
C. How many senses are there
D. How many students are in each class
Use the graph of the logarithmic function f(x) to answer the question.
What is the x- intercept?
Answer:
(0,-2)
Step-by-step explanation:
A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Find the Margin of Error (E) for the 95% confidence interval for the mean score of all such subjects.
Answer:
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0518
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
In this question:
[tex]n = 27, s = 21.4[/tex]. So
[tex]M = 2.0518\frac{21.4}{\sqrt{27}}[/tex]
[tex]M = 8.45[/tex]
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Answer nyo po to...Ang hirap(;-;)....pls. Lang po
The answer goes here,
a) We have to tell the time and day which simone has to tell her sister, for picking her up from airport.
b) We have given the day (monday), time(7:00 pm) and total time to reach the destination(18 hours).
c) No such formula will be used here, we will just use our mental ability to solve this question.
d) She will leave at 7:00 pm, day has 24 hours. So, she will be in the flight on monday:
= 24 - (12 + 7) ----------- [12 here means the time of rest of the day,(morning to noon)]
= 24 - 19
= 5 hours
So, she will complete 5 hours of her destination on monday,now the time left is:
= 18 - 5
= 13
= (12 + 1 )hours
So, on tuesday, she will be in the flight for 12 hours (noon) and then on 1:00 pm she will reach the airport, as she needs and extra hour to plane so, the final time is 1:30 pm. And finally, the time she should tell her sister is 1.30 pm.
What is the explicit rule for the geometric sequence? 25.5, 5.1, 1.02, 0.204, ... an=25.5(15)n an=25.5(15)n−1 an=25.5(15)n+1 an=25.5(15)n+2
Given:
The geometric sequence is:
25.5, 5.1, 1.02, 0.204, ...
To find:
The explicit rule for the given geometric sequence.
Solution:
We have,
25.5, 5.1, 1.02, 0.204, ...
Here, the first term is 25.5 and the common ratio is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{5.1}{25.5}[/tex]
[tex]r=\dfrac{1}{5}[/tex]
The explicit rule for a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=25.5,\ r=\dfrac{1}{5}[/tex] in the above formula, we get
[tex]a_n=25.5(\dfrac{1}{5})^{n-1}[/tex]
Therefore, the correct option is B.
Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was hours per year. She used a random sample of employees. The standard deviation of the sample was hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a confidence interval. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.
Answer:
(95.215 ; 100.785)
(95 ; 101) (nearest whole number)
Step-by-step explanation:
To obtain the confidence interval :
Mean ± margin of error
Mean = 98 hours
Margin of Error = Tcritical * (s/√n)
samole standard deviation, s = 5.6 hours
df = n - 1 = 18 - 1 = 17
Tcritical at (0.05, df = 17) = 2.110
Hence ;
Margin of Error = 2.110 * (5.6/√18) = 2.785
Confidence interval :
98 ± 2.785
Lower boundary = 98 - 2.785 = 95.215
Upper boundary = 98 + 2.785 = 100.785
(95.215 ; 100.785)
Give m = -1/2 and n = -1/3 which statement is true?
Answer:
n
Step-by-step explanation:
Tickets to the theater cost $8.00 for adults and $3.00 for children. A group of 2
total people showed up to the theater. They spent $93.00 total on tickets. How
many adults and children were in the group?
Answer: 9 adults 7 children
Step-by-step explanation:
what has the same value as 30%, percent of 18?
Answer:
Answer: 60.
Step-by-step explanation:
30 percent (calculated percentage %) of what number equals 18?
Need help Math Question Multiple Choice!
Given :
A function f(x) for different range of x.
To Find :
The value of f( -3 ) .
Solution :
We have to find the value of function at x = -3.
Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :
[tex]f(x) = \dfrac{2}{x}[/tex]
So, putting value of x = -3 in above equation, we get :
[tex]f(-3) = \dfrac{2}{-3} \\\\f(-3) = \dfrac{-2}{3}[/tex]
Hence, this is the required solution.
HELP ME PLEASEEEE SOMEONEEE
If a population is
a sample of the population could be
O A. ninth-graders at Peak School; all students at Peak School
B. math teachers; the entire school faculty
O C. people who purchased shoes; all customers
O D. all citizens; registered voters
Answer:
Step-by-step explanation:
D.all citizens; registered voters
Are these answers all correct?
Answer:
Yes they are all right
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tuan is an artist. He is painting on a large canvas which is 40 inches wide. The height of the canvas is 6 inches less than the width. What is the area of Tuan's canvas?
Answer:
1360 inches.
Step-by-step explanation:
Equation: 40 × (40-6) Since 40 inches is the width :)
40-6= 34
34*40=1360
Taun's canvas is 1360 inches :)
angle DAC= angle BAD
what is the length of side bd round to one decimal place
Answer:
BD ≈ 2.8 units
Step-by-step explanation:
By angle bisector theorem,
"If a segment bisects an angle of a triangle, then it divides the opposite side into the segments which are proportional to the other two sides"
Here, AD is the bisector of the ∠BAC,
[tex]\frac{BD}{CD}=\frac{AB}{AC}[/tex]
[tex]\frac{8.1}{5.9}= \frac{BD}{2}[/tex]
BD = [tex]\frac{2\times 8.1}{5.9}[/tex]
BD = 2.75
BD ≈ 2.8 units
Which expression has the smallest value?
A. -15
B. |24|
C. -31
D. 42
Answer:
C
Step-by-step explanation:
15 points
Right triangle trigonometry
Answer:
Step-by-step explanation:
take theta as reference angle
tan theta=opposite/adjacent
=15/8
Answer:
option B
Step-by-step explanation:
First find opposite side using Pythagoras theorem:
[tex]17^2 = 8^2 + opposite^2 \\\\opposite^2 = 289 - 64 = 225\\\\opposite = 15[/tex]
Therefore,
[tex]tan \theta = \frac{opposite}{adjacent} = \frac{15}{8}[/tex]
plz plz plz plz help me plz it is due in 1 hour and no links plz and I needed to be a decimal
Answer:
Solution given:
Area of parking space [parallelogram]=290ft²
base*height=290
base=290/29
base:10ft
Area of rectangular dimensions=11*7.4=81.4ft²
yes
The truck can not fit in the space because the length and breadth is less than that of the parallelogram parking area.
Area of truck bid 81.4ft².
Can someone help me please?
Answer:
.08
Step-by-step explanation:
Answer:
Hi, there your answer is 0.08
Step-by-step explanation:
Find the sum of the first five terms of the geometric series 50 + 25 + 12.5 +
The sequence is geometric with first term
a
1
=
100
and common ratio
r
=
0.5
Explanation:
a
1
=
100
,
a
2
=
50
,
a
3
=
25
,
a
4
=
25
2
,
a
5
=
25
4
...
50
100
=
0.5
,
25
50
=
0.5
,
25
2
25
=
0.5
,
25
4
25
2
=
0.5
∴
a
2
a
1
=
a
3
a
2
=
a
4
a
3
=
a
5
a
4
=
0.5
The ratio of successive term and preceeding term is constant
(
r
=
0.5
)
. Therefore the sequence is geometric whose first
term is
a
1
=
100
and common ratio is
r
=
0.5
[Ans]
Write the equation of the line that passes through (-7,-4) and (-6,-2) in slope intercept form
Answer:
y = mx + b
m =(-2--4)/(-6--7)
m = 2
-2 = 2(-6) +b
b = 10
y= 2x + 10
What is the probability that both spinners will land on 2?
1/12. 1/6. 1/4. 1/3
Answer:
1/4 bczz its not saying about the highest its about average and the average is 1/4
Plz help me well mark brainliest if correct..??
Answer:
C/5
Step-by-step explanation:
This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.
HELP ME WITH THIS PLEASEEEEE? IM STUGGLING
Answer:
(x-5)(x+5)
Step-by-step explanation:
x^2 -25
We can rewrite this as the difference of squares
x^2 - 5^2
(x-5)(x+5)