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3 years ago

Determine the range of the following graph:

Mathematics

1 answer:

Alex Ar [27]3 years ago

8 0

Answer:

-9≤y≤0

Step-by-step explanation:

-4≤x≤4 DOMAIN

-9≤y≤0 RANGE

I'm pretty sure this is correct but I haven't done it in a while

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5x when x=7 ......... NEED HELP

Gnoma [55]

Answer:

Step-by-step explanation:

5 x 7 = 35

5 0

4 years ago

Read 2 more answers

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

The table below shows the transportation method of employees at a certain company. What percent of employees walk to work ?

11111nata11111 [884]

758+530+7+105=1400
7/1400 x 100= 1/2

7 0

2 years ago

Read 2 more answers

What’s the equation of this graph

Degger [83]

Answer:

y = 2/3x + 4

Step-by-step explanation:

y = mx + b

m= 4/6 (y intercept over x intercept)

simplify

m= 2/3

b= 4 (y intercept)

6 0

3 years ago

Answer 1-5 please<br> Thanks

larisa [96]

1. The answer is D. a balance of power between the branches of Government
The separation of power separates government into executive, Judiciary, and Legislative with each of their own responsibilities.
This being done in order to prevent the government from becoming too powerful and transform into tyranny.

2. The answer is B. To decide if cases heard by lower courts were tried appropriately
The court of appeal will bring the case into higher court if either party are not satisfied with the result of the court. But the Decision that made by the Supreme courts are final

3. the answer is B. By overriding a Veto
Congress has the right to reverse the deicision if they managed to make mor than 2/3 of the Congress' member to agree. In this case, the president will be forced to change the decision even after using the veto right

4. The answer is B. Declaring war in war on another country
Declaring war on another country could only be done by Congress or The President. (In the Government, The president acted as the head of the executive branch of the Government)

5. The answer is C. Reserved Powers
Reserved powers allow the states to regulate several aspects of Government operations such as handling marriage, imposing states law, proposing a plan for infrastructure construction, etc

5 0

3 years ago