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]
Through (4,-4) parallel to y=3
Answer:
y = -4
Step-by-step explanation:
Because y = b, b = -4, the equation would be written as y = -4.
simplify the expression, 7 (m + 2 + 5)
Answer:
7m + 49 or 7(m + 7)
Step-by-step explanation:
Distribute the 7 to each integer and simplify.
Answer:
7m+49
Step-by-step explanation:
7m+14+35
7m+49
6/8X2/6=What is the answer to this equation
Answer:
6
Step-by-step explanation:
The segments shown below could form a triangle.
Answer:
true, they can form a triangle.
Step-by-step explanation:
since, sum of two sides is greater than the third side in any case and the difference between two sides is smaller than the third one in all cases.
What is the GCF of a¹²b⁴, a⁴b⁸, a²⁴b¹⁶ and a¹²b²⁰?
Given:
a¹²b⁴, a⁴b⁸, a²⁴b¹⁶ and a¹²b²⁰.
To find:
The GCF of given terms.
Solution:
Greatest common factor (GCF): To find the GCF of two or more numbers, we need to find the product of their prime factor with their maximum powers.
The given terms are
[tex]a^{12}b^{4},a^{4}b^8, a^{24}b^{16}, a^{12}b^{20}[/tex]
Here, each term has two prime factors a and b. The highest power of a is 24 and the highest power of b is 20. So, the GCF of given terms is
[tex]GCF=a^{24}\times b^{20}[/tex]
[tex]GCF=a^{24}b^{20}[/tex]
Therefore, the GCF of a¹²b⁴, a⁴b⁸, a²⁴b¹⁶ and a¹²b²⁰ is a²⁴b²⁰.
Identify the ‘false’ statement.
a) (-317) < 603
b) (-333) < (-777)
c) 630 > 234
d) 1250 > (-750)
Answer:
the false statement would be option b) (-333) < (-777).
Step-by-step explanation:
in negative numbers, the smallest negative number would be considered larger when compared to a large negative number. additionally, when you plot these numbers on a number line, it is evident that -333 would be closest to 0, and -777 would be the farthest. thus, -333 is larger than -777.
Can someone solve this please
Answer:15. 5/8 = 0.625
Step-by-step explanation:
1. identify the corresponding sides on the figure below
Answer:
No because one side is 8 and the other is 18
Step-by-step explanation:
Isabella is cooking a meal for 14 friends. Each person gets
6
of a cup of vegetables.
How many cups of vegetables does Isabella need?
HELP ASAP PLEASE! GIVING AWAY 30 POINTS AND BRAINLIEST!
Answer:
DB!
Step-by-step explanation:
Question a: 3+3+2+2 = 10 dinners
Question b: 15-30 and 30-45, because most people choose that range.
Hope I helped!
Answer:
a) 10 b) 2-3 dollars
Step-by-step explanation:
a) 3+3+2+2
b) (2+2+3+3)/2 equal 2.5 mean, range between them is 2 to 3
solve and you will get brain list
Answer:
No solutions
Step-by-step explanation:
what is the difference between 1 and o.1978
Answer:
0,8022
Step-by-step explanation:
guess it helped
Calculate the distance between the points J=(4, -2) and E = (7. – 7) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
Step-by-step explanation:
√[(7-4)^2+{-7-(-2))^2] = √36 = 6
The distance between the points J=(4, -2) and E = (7. – 7) in the coordinate plane is 6.
What is coordinate plane ?"A coordinate plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis. These two number lines intersect each other perpendicularly and form the coordinate plane.
The plane is called two-dimensional because anywhere on this plane where you can put your finger, the location of that point will need two things– its distance on the x-axis and its distance on the y-axis."
Using the distance formula between the points
Given, J = (4,-2) and E = (7,-7)
Distance formula = [tex]\sqrt((x1 - x2)^2 -(y1 - y2)^2)[/tex]
[tex]= \sqrt((4-7)^2 + (-2 - (-7))^2)\\\\= \sqrt(9 + 25) = 6[/tex]
Hence, distance between the points J and E = 6
To know more about coordinate plane here:
https://brainly.com/question/13611766
#SPJ3
plzzzzz i vill give 5 stars a heart brainlyest if you can anwser this write 5(2j+3+1j)= using the commutive property
Answer:
The answer would be 5 (3j + 3)
Step-by-step explanation:
The 5 outside the partheness would stay the same
2j + 1j = 3j
The 3 remains the same.
So our answer is
5(3j + 3)
if the figures below are similar give the scale factor of figure a to b,20,17.5,16,14
Answer:
Step-by-step explanation:
a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.
Answer:
5 km/h or 6 km/hStep-by-step explanation:
Let the speed of the boat be xSpeed against the current in the river is x - 2Time in the river:
6/(x - 2)Time in the lake:
15/xThe difference:
6/(x - 2) = 15/x - 1Solve for x to find the speed of the boat
Multiply both sides by x(x - 2) to clear the fraction:
6x = 15(x - 2) - x(x - 2)6x = 15x - 30 - x² + 2xx² - 11x + 30 = 0(x - 5)(x - 6) =0x -5 = 0, x - 6 = 0x = 5 km/h, x = 6 km/hAnswer:
5km/hr or 6km/hr
Step-by-step explanation:
A little help with this math problem
Answer:
The length of the last side is 9 metres
Step-by-step explanation:
Plzzz help me it would mean a lot I willl mark you brainliest if you are right plz and ty
Answer:
45
Step-by-step explanation:
x÷3=15
=×*1/3=15
=x=15*3
x=45
Answer:
15 x 3 = 45
So, x = 45
Pls mark the brainliest :)
Step-by-step explanation:
A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a 65 degree angle with the ground, how long is the wire? Round your answer to the nearest tenth
Answer:
83 m
Step-by-step explanation:
The computation of the length of the wire is shown below:
Let us assume the length of the wire be x
Given that
There is 35m from the base of the tower
And, the angle with the ground is 65 degree
So, the length of the wire is
cos 65 = 35 ÷ x
x = 35 ÷ cos 65
= 83 m
Exercise 2.4.4: Showing a statement is true or false by direct proof or counterexample. About Determine whether the statement is true or false. If the statement is true, give a proof. If the statement is false, give a counterexample. (a) If and are even integers, then is an even integer. Solution (b) If is an even integer, then and are both even integers. (c) If , then . Solution (d) If x and y are real numbers and , then . Solution (e) If and are positive real numbers and , then . (f) The average of two odd numbers is an odd integer. (g) The average of two even numbers is even. (h) The average of two odd numbers is an integer. Solution
Answer:
Step-by-step explanation:
and ok thats the deal
Find the perimeter and area of the figure
Answer:
Step-by-step explanation:
Perimeter = Add
Area= x
Use this solution to figure the area & Perimeter out.
Answer:
perimeter = 76 ft
area = 338 sq ft
Step-by-step explanation:
Does this look right? Explain why
5/6
6.565656…
0.23
-5 3/8
Answer:
Yes
Step-by-step explanation:
Yes ,a rational number is a number that can be expressed as a fraction. Repeating and terminating decimal are rational number so
5/6 is right since it is a fraction
6.565646 is right since it is a repeating decimal
0.23 is right since it is a terminating decimal
-5 3/8 is right since it is a mixed number
Sqr root of 11 and 0.32416.... is wrong since it creates multiple random unknown digits
Help, please it's due soon?
9514 1404 393
Answer:
398,765
Step-by-step explanation:
If s represents the number sold to date, the given relation is ...
0.081s = 32300
s = 32300/0.081 ≈ 398,765 . . . . . . divide by the coefficient of s
398,765 copies have been sold to date.
Simplify. 2√6−4√24+√96What is the greatest common factor of 12xy^5+60x^4y^2−24x^3y^3?
Answer:
greatest common factor is 12xy² .
Step-by-step explanation:
a- 10
b- 70
c- 110
d- 170
Step-by-step explanation:
step 1. 2x + 50 and 7x are vertical angles
step 2. vertical angles are equal
step 3. 2x + 50 = 7x
step 4. 5x = 50, x= 10
step 5. <AEB = 2x + 50 = 2(10) + 50 = 70.
1. What is the result when 3x2 - 4x + 5 is subtracted
from 3x3 – 13x + 4?
What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
A new pair of Nike shoes costs $95. It is on sale for 25% off! How much will you pay (not including taxes)?
Answer:
23.75
Step-by-step explanation:
95 is the 100 so to find 25% divide it by 4 and you get 23.75
Ex. What is the theoretical probability of rolling 5 or higher on a six sided die?
n=7, x=4, p=0.45, find p4
Answer:
1.8
Step-by-step explanation:
All you need to do is use substitution....
p4
They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value
p4 = (0.45)4
0.45 * 4 = 1.8
so p4 = 1.8
Hope this helped!
Have a supercalifragilisticexpialidocious day!