Answer:
x = -8
Step-by-step explanation:
Step 1: Write equation
1/2x + 13 = 9
Step 2: Solve for x
Step 3: Check
Plug in x to verify it's a solution.
1/2(-8) + 13 = 9
-4 + 13 = 9
9 = 9
Answer:
-8
Step-by-step explanation:
you use inverse operation
meaning opposite signs
subtract -13 from 13 cross it out
subtract 13 from 9
you get 1/2x=-4
divide 1/2 on both sides
-4 divided by 1/2 =-8
The dimensions that minimize the cost of building the tank are .
Let
and
and
Therefore,
From the question
The total cost becomes
We need to eliminate . The volume from the question gives a way out
substitute into the formula for total cost gives, after simplifying
differentiating with respect to , we get
at extrema
To confirm that is a minimum value, carry out the second derivative test
substituting , we get that > , confirming that minimum value
To find , recall that
substituting , we get as the corresponding minimum height
Therefore, minimize the total cost of building the tank.
Learn more about minimizing dimensions to reduce costs here: brainly.com/question/19053049
The problem involves finding the dimensions of a cylinder and two hemispheres that minimize the cost to build an industrial tank of a specific volume. This involves setting up equations for the volume and cost, and then using calculus to find the dimensions that minimize the cost.
This problem can be solved using calculus. Let's denote the radius of both the hemispheres and the cylinder as r and the height of the cylinder as h. The total volume of the solid is the sum of the volume of the cylinder and the two hemispheres. Using the formulas for the volumes of a cylinder and hemisphere, we have:
V = (πr²h) + 2*(2/3πr³) = 4640 cubic feet.
The total cost of the material is proportional to the surface area. The surface area of the two hemispheres is twice as expensive as that of the sides of the cylinder, so we have:
Cost = 2*(2πr²) + πrh.
To minimize the cost, we can take the derivative of the Cost function with respect to r and h, set them equal to zero, and solve for r and h.
This problem involves calculus, the volume of cylinders and spheres, and optimization, which are topics covered in high school mathematics.
#SPJ11
Is that true or false???
Answer:
True
Step-by-step explanation:
For example:
HCF of 2 and 3 is 1
Answer:
true
Also i need help with
brainly.com/question/24136412?answeringSource=feedPublic%2FhomePage%2F1
ANSWE,LET two numbers be A and B then
A+B=52
A-B=14....linear equation in 2 variable
adding 2 eqns
2A=66... dividing both side by 2
A=33
and put A=33 in eqn A+B=52
B=52-33
B=19.
SO. LARGER NUMBER=33
Smaller number=19
Answer:
in standered form -
3x²+4x−14=0
Step-by-step explanation:
Hope this helps :)
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2
Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2
Answer:
Perimeter = 126 cm, area = 972 cm2
Step-by-step explanation:
Rectangle perimeter:
Rectangle area:
When scaled, the perimeter will change by same factor but the area by the square of same factor.
Applying to the given rectangle
Perimeter:
Area:
Correct choice is B
Answer:
Perimeter = 126cm
Area = 972cm^2
Step-by-step explanation:
6*4.5 = 27
8*4.5 = 36
Perimeter = 27*2+36*2= 126 cm
Area = 27*36 = 972 cm^2
Hope this helped!