find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π (no approximations)

Answer:

i would say 6.50

Step-by-step explanation:

i rounded to the closest tenth

Answer:

x = 2,24 cm

y = 17,96 cm

Step-by-step explanation:

The volume of a cube is:

V = x²*y      where  x is the side of the square base and the height of the cube

V = 90 cm³

And the surface area of the cube is:

S(c)  =  Area of the base (A₁ ) + Lateral area (A₂)

A₁  = x²       and  V = x²*y     then  y = 90/x²

Therefore total cost is:

Cost of the top plus bottom  C₁ =  0,20 * 2 * x²  C₁ = 0,4*x²

Lateral cost (C₂)  is    C₂ = 0,10 * x*y    then  C₂ =  0,10*x ( 90/x²)    C₂ = 9/x

C(x) = 0,4*x² + 9/x

We take derivatives on both sides of the equation to get:

C´(x) = 0,8*x  -  9/x²

C´(x) =  0     0,8*x  - 9/x²  = 0

0,8*x³ - 9  = 0

0,8 * x³  = 9

x³  =  11,25

x = ∛ 11,25

x  =  2,24  cm

And   y  =  90 / 5,01        y  =  17,96 cm

Answer:

-r^4+3r^3-21r+49

Step-by-step explanation:

(−r2+3r+−7)(r2+−7)

=(−r^2)(r^2)+(−r^2)(−7)+(3r)(r^2)+(3r)(−7)+(−7)(r^2)+(−7)(−7)

=−r4+7r2+3r3−21r−7r2+49

=−r4+3r3−21r+49

The given polynomial in the standard form is -

- r⁴ + 3r³ - 21r + 49

Given is the following polynomial -

(- r² + 3r - 7)(r² - 7)

We can write the polynomial as -

(- r² + 3r - 7)(r² - 7)

Expanding, we get -

r²(- r² + 3r - 7) - 7(- r² + 3r - 7)

- r⁴ + 3r³ - 7r² + 7r² - 21r + 49

- r⁴ + 3r³ - 21r + 49

Therefore, the given polynomial in the standard form is -

- r⁴ + 3r³ - 21r + 49.

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Answer:

The value of given expression is 6.

Step-by-step explanation:

Given expression is;

[tex]\sqrt{5x^2-(-x^4)}[/tex]

We have to solve the expression when x = -2

Putting x = -2 in the given expression,

Solution = [tex]\sqrt{5(-2)^2-(-(-2)^4))}\\[/tex]

Solution = [tex]\sqrt{5(4) - (-16)[/tex]

Solution = [tex]\sqrt{20+16}[/tex]

Solution = [tex]\sqrt{36}[/tex]

Taking square root of 36

Solution = 6

Thus,

[tex]\sqrt{5x^2-(-x^4)}[/tex] = 6

Hence,

The value of given expression is 6.

Step-by-step explanation:

f(x) = x² + 6x + 12

= (x² + 6x + 9) + 3

= (x + 3)² + 3.

Since a² >= 0 for all real values of a,

(x + 3)² >= 0 for all real values of x,

(x + 3)² + 3 >= 3 for all real values of x.

Hence f(x) >= 3. (Shown)

Answer:

2

Step-by-step explanation:

With regards to the above, we can sum up the foods ate together by the 5 cats, then we have;

= 1/5 + 1/5

= 2/5

Then we can multiply the value above by the 5 cats

= 2/5 × 5

= 10/5

= 2

The cats eat 2 foods together.

Answer:

E’ is (11,-1)

Step-by-step explanation:

Here, we want to get the new coordinates of E

The translation is 4 units right ( add 4 to x-value) and 3 units down ( subtract 3 from y-value)

So for E, we have

(7 + 4, 2-3)

= (11, -1)

Answer:

Step-by-step explanation:

If 4 less than and is -15 then the following must be true .

n-4= -15

to solve this equation we need to add iv to both side

n-4+4= -15+4

this is simplified to the following

n= -11

Answer: B i think

Step-by-step explanation:

Answer:

the range is y</4

Step-by-step explanation:

dont listen to the other person, btw that sign is less than or equal to

Answer:

1: 11√3 - 7√6

2: 11√3 - 7√6

3: -9

4:12

Step-by-step explanation:

To add radicals they need to have the same radical part for the first one we have

7√3- 4√6 + √48 - √54

We can simplify the last two into 4√3 and 3√6

So we have 7√3 - 4√6 + 4√3 - 3√6

adding similar radicals we get

11√3 - 7√6

For the second one we have 11√3 - 7√6

There's nothing we can do from here so keep that as your answer

This one is quite easy -3√9

square root of 9 is 3

so we have -3*3 which is -9

next is

4√9

same deal as the one before

3*4=12

Answer:

B

Step-by-step explanation:

11 square root of 3 end root minus 7 square root of 6

Got it right on my test

Answer:

[tex] m = \frac{ \sqrt[3]{243b} }{17} [/tex]

Answer:-14

Step-by-step explanation:

Answer:

{y | y > 12}

Step-by-step explanation:

just took the test

Answer:

what are you saying

Step-by-step explanation:

Answer:84/5

Step-by-step explanation:dd

Answer:

100 miles is the answer

Step-by-step explanation:

3 inches = 20 miles

15/3 = 5

5 x 20

= 100 miles

========================================================

Work Shown:

(3 inches)/(20 miles) = (15 inches)/(x miles)

3/20 = 15/x

3*x = 20*15

3x = 300

x = 300/3

x = 100

Therefore, 15 inches on the map correspond to 100 miles in real life.

-------------------

We could approach the problem like this:

3 inches = 20 miles

5*(3 inches) = 5*(20 miles)

15 inches = 100 miles

In the second step, I multiplied both sides by 5 to turn the "3 inches" into "15 inches".

Answer:

8..

Step-by-step explanation:

-3x-5y=61

7x-5y=-9

-10x=70

x=-7

y=-8..

Answer:

John ate 7/12 more of the candy than Sandy.

Step-by-step explanation:

3/4 is equivalent to 9/12.

1/6 can be expressed as 2/12.

Step 3: 9/12 - 2/12 = 7/12.

Now that they have the same denominators, perform the subtraction process.

Then,John ate 7/12 more of the candy than Sandy.

Answer:

C

Step-by-step explanation:

                 .

Answer:

x=6/5

Step-by-step explanation:

5x+12=18→ 5x=18-12

5x=6 divide

x=6/5

Answer:

x=6/5

Step-by-step explanation:

(5x+12)=18

5x+12=18

5x=18-12

5x=6

x=6/5

Given:

The perimeter of a rhombus of side d cm  is

[tex]p=4d[/tex]

To find:

The perimeter of a rhombus of  side 3.2 cm.

Find the length of a side of a rhombus  of perimeter 14 cm.

Solution:

Side of a rhombus is 3.2 cm. So, its perimeter is

[tex]p=4(3.2)[/tex]

[tex]p=12.8[/tex]

Therefore, the perimeter of a rhombus of  side 3.2 cm is 12.8 cm.

The perimeter of another rhombus is 14 cm, and we need find its side.

[tex]p=4d[/tex]

[tex]14=4d[/tex]

Divide both sides by 4.

[tex]\dfrac{14}{4}=d[/tex]

[tex]3.5=d[/tex]

Therefore, the length of a side of a rhombus  of perimeter 14 cm is 3.5 cm.

Answer:

A. $0.75

Step-by-step explanation:

0.75×2=1.50 (1.50 price of 2 hotdogs)

4-1.50= 2.50 (2.50 is the price of 2 sodas)

1.50 + 2.50= $4

Answer:

5:3

Step-by-step explanation: