Answer:
-7.5 ft^3/sec
OR
Volume is decreasing at the rate of 7.5 ft^3/sec
Step-by-step explanation:
Side of cube = 10 feet
Rate of decreasing of side of cube = [tex]\frac{1}{10}\ feet/sec[/tex]
OR
Rate of change of side of cube = [tex]-\frac{1}{10}\ feet/sec[/tex]
To find:
Rate of change in volume when the edge is 5 feet long = ?
Solution:
Volume of a cone is given by:
[tex]V =Side^3[/tex]
If side is [tex]a[/tex] units, then Volume can be written as:
[tex]V =a^3[/tex]
Differentiating w.r.to time:
[tex]\dfrac{dV}{dt} = 3a^2\dfrac{da}{dt}\\\Rightarrow \dfrac{dV}{dt} = 3\times 5^2(-\frac{1}{10})\\\Rightarrow \dfrac{dV}{dt} = -7.5 ft^3/sec[/tex]
Negative sign indicates that the volume is decreasing at the rate of 7.5 ft^3/sec
HELP PLEASE!!!! Find the exact values of sin A and cos A. Write fractions in lowest terms.
A) sin A = 3/5; cos A = 4/5
B) sin A = 5/4; cos A = 5/3
C) sin A = 4/5; cos A = 3/5
D) sin A = 4/3; cos A = 3/4
Answer: Im pretty sure its C dude have a wonderful day.
Step-by-step explanation:
If you are dividing a three digit even number by two but you ever get a remainder
Answer:
Step-by-step explanation:
yes
718.012 in expanded form and written form
Answer:
Expanded Form BelowWritten Form BelowStep-by-step explanation:
Expanded Form = 700 + 10 + 8 + 0.01 + 0.002
Written Form = Seven-Hundred Eighteen, Point Twelve-Hundredths
Hope this helps! <3
Some of the steps in Liam solution to 3. 5 (1.25x + 0.5) = 10.5 are shown complete the boxes with reasons for lines 2 and 4 of Liam solution
Answer:
x = 2
Step-by-step explanation:
Given the equation;
3. 5 (1.25x + 0.5) = 10.5
Open the parenthesis
3.5(1.25x) + 3.5(0.5) =10.5
4.375x + 1.75 = 10.5
4.375x + 1.75 -1.75= 10.5-1.75
4.375x = 8.75
Divide both sides by 4.375
4.375x/4.375 = 8.75/4.375
x = 2
Hence the solution to the equation is 2
Someone help with all if possible :)
Instructions are at the top of the picture, also I’ll mark brainliest for small explanation!
Answer:
1. y=2x+4 2. y=-3/1x-4 3. y=1/4+4 4.y=-4/5x-7
Step-by-step explanation:
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?
Answer:
46 jumping jacks per minute
Step-by-step explanation:
184/4= 46
Answer:
she did 46 jumping jacks per minute
Step-by-step explanation:
What is the distance between A and B on the number line below?
On a number line, point A is at 2.15 and point B is at 2.7.
0.55
0.65
2.48
4.85
Answer:
0.55
Step-by-step explanation:
all you do is subtract
Louis age is three years more than twice the age of Sánchez . The sum of their ages is 39. How old are Sánchez and Louis ?
Answer:
39 divided by 3 = 13+3=16 therefore Louis is 16 and sanchez i
Step-by-step explanation:
s going to be 23 years of age. Because 39-16=23
Answer: Louis is 27 yrs old and Sanchez is 12 yrs old
Step-by-step explanation:
Sanchez is 12 yrs old
Louis is "twice" the age of sanchez (24) yrs old plus 3 years= (27)years old
Now add 27+12 =39 yrs in total
4x - 1 = 3 (x - 1)
(help pls fast by tuesday!)
Answer:
x = -2
Step-by-step explanation:
I hope this helps!!
Express 14 : 44 in the lowest term.
Answer:
7:22
Step-by-step explanation:
Complex fractions can be written as______problems.
Answer:
All complex fractions can be re-written as division problems.
Step-by-step explanation:
PLEASE HELP IM TIMED
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because it's common sense
The compressive strengths of 40 concrete cylinders have an estimated mean of 60.14 MPa and standard deviation of 5.02 MPa. Assuming the strength to be Normally distributed, what is the probability that 10 cylinders will each have strengths between 45 and 75 MPa?
Answer: 0.9972
Step-by-step explanation:
Let x be a random variable that represents the strength of concrete cylinders.
Given: The compressive strengths of 40 concrete cylinders have an estimated mean[tex](\mu)[/tex] of 60.14 MPa and standard deviation[tex](\sigma)[/tex] of 5.02 MPa.
The probability that 10 cylinders will each have strengths between 45 and 75 MPa :
[tex]P(45<\overline{x}<75)=P(\dfrac{45-60.14}{5.02}<\dfrac{\overline{x}-\mu}{\sigma}<\dfrac{75-60.14}{5.02})\\\=P(-3.016<z<2.96)\\\\=P(z<2.96)-P(z<-3.016)\\\\=P(z<2.96)-(1-P(z<3.016))\\\\=0.9985-(1-0.9987)\ \ \ [\text{by p-value table}]\\\\= 0.9972[/tex]
Hence, The required probability = 0.9972
An airplane flies 104 miles in 1/2 hour. How far can it fly in 1 1/4 hours at the same rate of speed
Answer:
260 miles i prettty sure brainliest plzz
Step-by-step explanation:
Can anyone please help me under this and what I'm supposed to do. Thank you in advance
The sum of the ages of Peter and Paul is 24. Five years ago their respective ages were in the ratio 3:4. How old will they be in three years time?
Answer:
16 and 14 years old.
Step-by-step explanation:
Let their ages be x and y years, then
x + y = 24 .......... (1)
Also from the given information
(x - 5)/ (y - 5) = 3/4
3y - 15 = 4x - 20
3y - 4x = -5
Multiplying equation (1) by 3:
3y + 3x = 72
Subtracting these last 2 equations:
-7x = -77
x = 11.
So y = 24 - 11 = 13.
So in 3 years time they will be 16 and 14.
Answer:
Peter would be 14. Paul would be 16
Step-by-step explanation:
Variable labels:
Peter = m, Paul = n
m + n = 24
(m - 5) : (n- 5) = 3:4
The ratio 3:4 in fraction form is [tex]\frac{3}{4}[/tex]
The ration of (m - 5) : (n- 5) in fraction form is [tex]\frac{m - 5}{n - 5}[/tex]
[tex]\frac{m-5}{n-5} = \frac{3}{4}[/tex]
Cross multiply:
4(m - 5) = 3(n - 5)
4m - 20 = 3n - 15
4m = 3n + 5
Find the value of m first:
4m = 3n + 5
m = [tex]\frac{3n + 5}{4}[/tex]
Now going back to the equation m + n = 24, substitute m with [tex]\frac{3n + 5}{4}[/tex] :
m + n = 24
[tex]\frac{3n + 5}{4}[/tex] + n = 24
Solve for n:
[tex]\frac{3n + 5}{4}[/tex] + n = 24
[tex]\frac{3n}{4} + \frac{5}{4}[/tex] + n = 24
[tex]\frac{7n}{4} +\frac{5}{4}[/tex] = 24
[tex]\frac{7n}{4} = \frac{91}{4}[/tex]
n = 13 (Paul's age)
Solve for m:
m + n = 24
m + 13 = 24
m = 11 (Peter's age)
After three years, Peter would be 11 + 3 = 14 years old and Paul would be 13 + 3 = 16 years old.
A squirrel in a tree drops an acorn. How long does it take the acorn to fall 24 feet?
Please help with this I will give brainliest
Answer:
2
Step-by-step explanation:
Subsitute Y in the equation. (6)^2-5(6)-4. 36-30-4=2
100 POINTS. ANSWER CORRECTLY, PLEASE!
What is the area of a triangle with vertices at (−4, 1), (−7, 5) , and (0, 1) ? Enter your answer in the box.
Answer:
The answer is 8 units squared.
Step-by-step explanation:
A gym has 563 people that want to attend workout classes. Each class will have 15 people.
Which is the best estimate for the number of workout classes the gym should offer?
40
why?: 563/15=37.53333333
Round up to the nearest 10
Brainliest?
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought? 49 + 28 = 4 (7 + 7) 49 + 28 = (7) (7) + (14) (2) 49 + 28 = (7) (14) + (7) (7) 49 + 28 = 7 (7 + 4) plz i need help
Answer:
I don't know the answer bro but please follow me bro
Joshua started the month with $20.50 in his bank. He earned $3.75 for washing the car. Then he spent $5.25 at the movies. Joshua mowed his neighbor's lawn for $7.50. Finally, he bought a new video game for his computer for $18.75. How much money did Joshua have at the end of the month?
Joshua after all his spending has $7.75 at the end of the month
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The savings and his work be denoted by a positive amount and his spending be donated by a negative amount.
So, From the information given his savings of $20.50 and his work of mowing the lawn for $7.50 and washing a car for $3.75 should be added which is,
= $(20.50 + 7.50 + 3.75).
= $31.75
Now, we'll subtract all his spending,
= $(31.75 - 5.25 18.75).
= $7.75.
learn more about numerical expressions here :
https://brainly.com/question/29199574
Sam is handing out advertisements for an upcoming event. He starts with a box of 5,000 advertisements and hands out 12 advertisements per minute, on average. Which of the following equations best models the relationship between the amount of time t, in minutes, Sam spends handing out advertisements and the number of advertisements, n, remaining? A t = 5,000n - 12 B n = 5,000t - 12 C t = 5,000 - 12n D n = 5,000 - 12t
Answer:
n = 5,000 - 12t
Step-by-step explanation:
Sam is handing out advertisements for an upcoming event.
No of advertisements = 5000
No of advertisements per minute is 12.
We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.
5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :
n = 5,000 - 12t
Hence, the correct option is (d).
5.
Which of these scales are equivalent to 3 inches to 1 yard? Select all that apply.
A.1 inch to 1 foot
B.
6 inches to 9 feet
C.
1 inch to yard
D
1 inch to 12 inches
Please help
The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?
A. 5
B. −1
C. 1
D. 4
Answer:
A
Step-by-step explanation:
Answer:
k = 6Step-by-step explanation:
Given function:
f(x) = 2x + 4Shifting right 5 units:
f(x - 5) = 2(x - 5) + 4 = 2x - 10 + 4 = 2x - 6New function is:
f(x) = 2x - 6The value of k is 6
The answer choices don't include 6, it might be a typo?
Solve for x and y! Help plz
Answer:
x = 20
y = 19
Step-by-step explanation:
(2x - 3)° + (3x - 7)° = 90° (complementary angles)
(2x - 3 + 3x - 7)° = 90°
(5x - 10)° = 90°
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20
2y - 1 = 2x - 3 ( vertical angles)
2y = 2x - 3 + 1
2y = 2x - 2
2y = 2*20 - 2 (plug x = 20)
2y = 40 - 2
2y = 38
y = 38/2
y = 19
Bargain DVDs cost $5 each at Mega Movie. a. Graph the proportional relationship that gives the cost y in dollars of buying x bargain DVDs
the points (3, 17) and (1, 15) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
Write in slope-intercept form, y=mx+by=mx+b.
answer: y=X+14
The price of a set of feeding bowls for dogs had been $9.25, but was
increased to $11.10. What was the percent increase?
Answer:
Step-by-step explanation:
20% increase lol
If Z is the centroid of WXY, WR=87 SY=39 and YT=48 find each missing measure
Answer:
Step-by-step explanation:
WS=39
WY=78
WZ=58
ZR=29
ZT=16
YZ=32
The measures are WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Z is the centroid of triangle.
The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle.
WR=87 SY=39 and YT=48
We need to find WS,WY,WZ,ZR,ZT and YZ
WS=39
As WS=WR
WY=WS+SY
WY=39+39=78
WZ=58
ZR=WR-WZ
ZR=87-48=29
ZT=16
YZ=YT-ZT
=48-16=32
YZ=32
Hence, the measures are WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32
To learn more on Triangles click:
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