Answer:
[tex]105m^3/min[/tex]
Step-by-step explanation:
We are given that
Base side of square pyramid, a=3 m
Height of square pyramid, h=9m
[tex]\frac{da}{dt}=6m/min[/tex]
[tex]\frac{dh}{dt}=-1/min[/tex]
We have to find the rate of change of the volume of the pyramid at that instant.
Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]
[tex]\frac{dV}{dt}=105m^3/min[/tex]
Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]
Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).
Answer:
A)4
Step-by-step explanation:
Since (3+1)^1/2=2
and 3-1=2
2/2=1
3+1=4
Please look at picture
Answer:
By sum interior angle of triangle is equal to third exterior angle hence
z = x + y
No find x and y
Sum triangle is 180 degree
Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?
Answer:
24×3=72
Sooo the answer 72✨
Bob has 17/23 left of a wall to demolish. Each swing of a sledgehammer brings down an additional 17/161 of the wall. How many more swings will it take him to bring down all of the wall?
Help meh plsssssssssssssssssssssss
Answer:
the first one is 6 ,9, 13.5
Step-by-step explanation:
Answer:
Need help with this plz
Answer:
(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)
10x+70=180
10x=110
x=11
(b) ∠C = 2x-10
= 2(11)-10
= 12°
Tennis star Rafael Nadal lost at the Australian Open. How many Grand Slams has he won?
Answer: 22
Step-by-step explanation:
What is unknown number in proportion?
Answer:
x = 2.4/20= 0.12
Step-by-step explanation:
Multiply both sides by 4 to eliminate the fraction 1/4:
1 20
--- = ------
x 2.4
Next, we cross-multiply. This eliminates the fractions:
20x = 2.4
Dividing both sides by 20 results in an equation for x: x = 2.4/20= 0.12
Write 73/22 as a decimal.
Answer:
the answer of decimal is 331.82
3- 8 + 4(3x + 3)
+2y
Thanks!!!
Answer:
7+12x+2y
Step-by-step explanation:
3-8+(12x + 12)+2y=
-5+(12x +12)+2y=
7+12x+2y
Answer:
Simplified, your answer should be 12x + 2y + 7
Step-by-step explanation:
Hope this helps! :)
Have a nice day! ♥
I need help. Please check this problem for accuracy I turn it in tomorrow.
Answer:
you are 100% correct (^_^)
Step-by-step explanation:
please help me understand this
Answer:
whats your snap ill help
Step-by-step explanation:
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answer:
8 apples for 9.25
Step-by-step explanation:
because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.
carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?
Answer:
ramon is the shortest
ryan is the tallest
carmen is taller than ramon
carmen is shorter than ricardo
carmen is shorter than ryan
ryan is taller than ricardo
Help
==================
Answer: 0.5
Step-by-step explanation:
17 is half of 34 and 1/2 = 0.5
Answer: 0.5 is this second grade
According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?
Answer:
the sampling distribution of proportions
Step-by-step explanation:
A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions
Multiply and divide decimals.
One pound of chocolate chip cookies cost $3.79. David buys exactly 5 pounds of chocolate chip cookies. How much will the cookies cost?
State Your answer. Give Details. Explain what you did and justify Your steps.
And also, you'll get brain if u do these directions. :)
Answer:
5 pounds of chocolate chip cookies cost $18.95.
Step-by-step explanation:
If one pound of chocolate chip cookies cost $3.79, then 5 pounds of chocolate chip cookies will cost 3.79 times 5 dollars, which is equal to $18.95.
Hope this helps!
solve each equation for given variable
-5i -15 = 15
Answer:
i= -6
Step-by-step explanation:
-5i-15=15
if we use inverse operation here, it would be -5i=30, so i= -6
math algebra HELP!!!!
Answer:
y = 32
Step-by-step explanation:
[tex]\frac{1}{2} y + 22 = 38[/tex]
Subtract 22 from both sides to isolate the y variable.
[tex]\frac{1}{2} y = 16[/tex]
Divide both sides by [tex]\frac{1}{2}[/tex], which is the same as multiplying by 2.
y = 32
1/2y + 22 = 38
-22 -22
1/2y = 16
x2 x2 ---> This is because if 1/2y = 26, that means y times 1/2 is 26, but we want to know what y times 1 is because y times 1 is equal to y so we multiply by 2 because 1/2 times 2 equals 1.
y = 32
3a+2b-8a+b
What is the answer
Step-by-step explanation:
3a+2b+8a-bCombine like terms Like tems are 3a and -8a3 a - 8 a = -5a-5a +2b+ bcombine like terms2b +b = 3btherefore the answer is -5a + 3bHope it helpful12-x
6
x+3
4
Solve for x
Step-by-step explanation:
x = 0 (I don't know what the result of this operation is and I need it to know the x but that's what I can do)
Can someone explain this to me? I really need help. Thx!
Answer:
3 to the 4th power.
Step-by-step explanation:
Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.
A triangle has the length of 8.3 and a height of 6.4. What is the area?
Answer:
Formula Bh x 1/2, so 26.56 is your answer
Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56
Answer:
26.56
Step-by-step explanation:
<) Madison is organizing a 10K race. She is ordering cases of bottled water for the runners.
Each case contains 20 bottles of water. Madison wants to know the number of bottles, b,
she will receive based on the number of cases she orders, c.
) The variable b is the
dependent
variable.
The variable c is the
independent
variable.
) Write an equation that gives the total number of bottles, b, when Madison orders c cases.
+
=)
C
b
20
Answer:
b= 20 • c
b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".
The equation representing the number of bottles is c = 20b
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x - 5 = 16 is an equation.
Given that, Madison ordered c cases of the bottle with each case having 20 bottles,
So, for c cases she will have 20b bottles.
The equation is :-
c = 20b
Here,
c is dependent variable
b is independent variable
Hence, the equation representing the number of bottles is c = 20b
Learn more about equations, click;
https://brainly.com/question/29538993
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Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.
Answer:
A.) The reaper separated cotton fibers from cotton seed much faster than the manual
method used earlier.
B.) The reaper made it possible to communicate very quickly across a wire.
C.) The reaper replaced the old method of sewing clothes by hand.
D.) The reaper could cut grain much faster than the older method of harvesting by hand
with a scythe.Step-by-step explanation:
twelve men can build a house in 5 days so 4 men can build the same project in how many days?
Answer:
15 days
Step-by-step explanation:
Answer:
15 days
Step-by-step explanation:
as
12×5/4
=15
hope it helps you
What is the solution to this inequality? 7x +18 > -3
x<-3
x<3
x>-3
x>3
Step-by-step explanation:
7x + 18 > -37x > -3 -187x > -21x > -21÷7x > -3MARK ME AS BRAINLISTPLZ FOLLOW MEIf an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!
Answer:
-4 mph/sec
Step-by-step explanation:
Answer: -4 mph/s
Step-by-step explanation:
Remember the formula:
FinalVelocity = InitialVelocity + (acceleration)(time)
50 = 30 + (a)(5)
a = (30 - 50)/5
a = -4 mph/s
A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.
Answer:
11.304 kg/m³
Step-by-step explanation:
0.65cm radius
Volume is 1.15 cm³
.013/.00115
Pls help meeee :))))))
Answer:
A. 1.80
Step-by-step explanation:
Answer:
A. 1.80
Explanation: