Choose all the possible solution that makes the inequality statement True


b6+5≥10

0

30, 31, 32

30, 29, 28

-30, -29, -28

9514 1404 393

Answer:

  False

Step-by-step explanation:

The minimum value is -2.

Answer:

The average function [tex]f_{avg}[/tex] value = 4

Step-by-step explanation:

Given that:

[tex]f(x,y,z) = 3x^2z+3y^2z[/tex]

The enclosed region [tex]z = 4 -x^2 -y^2[/tex] and the plane z = 0.

Over an area E, the average value of a function f(x,y,z) is:

[tex]f_{avg} = \dfrac{1}{V_{E}} \iiint_E f(x,y,z) dV ------ (1)[/tex]

where;

[tex]V_E[/tex] = volume of region E

To find the volume use cylindrical coordinates;

[tex]x=rcos \theta; \ \ \ y = rsin \theta; \ \ \ z = z[/tex]

Then;

E = 0 ≤ r ≤2, 0 ≤ θ ≤ 2π, 0 ≤ z ≤ 4 - r²

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} \int^{4-r^2}_{0} \ rdzdrd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} r(4-r^2) \ drd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} (4r-r^3) \ drd \theta[/tex]

[tex]V_E = \int^{2 \pi}_{0} \Big(2r^2- \dfrac{r^4}{4} \Big)^2_0 \ d \theta[/tex]

[tex]V_E = 4(2 \pi)\\\\ V_E = 8 \pi[/tex]

However, from equation (1):

[tex]f_{avg} = \dfrac{1}{V_E} \iiint_E f(x,y,z) \ dV \\ \\ = \dfrac{1}{8 \pi} \iiint_E (3x^2z + 3y^2 z) dV \\ \\ = \dfrac{1}{8 \pi } \int^{2 \pi}_{0} \int^{2 }_{0} \int^{4 - r^2}_{0} \ \ 3zr^2 \ rdzdrd\theta \\ \\ = \dfrac{3}{8 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} \Big(\dfrac{z^2}{2}\Big)^{4-r^2}_{0} \ r^3 drd\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (4-r^2)^2 \ r^3 \ dr d\theta[/tex]

[tex]= \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16-8r^2 + r^4)r^3 \ dr d\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16r^3 -8r^5 + r^7) \ dr d \theta \\ \\ = = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \Big (4r^4 - \dfrac{8}{6}r^6 + \dfrac{r^8}{8} \Big)^2_0 \ d \theta \\ \\ = \dfrac{3}{16 \pi } (2 \pi) \Big (64 - \dfrac{8}{6} \times 64 \times \dfrac{256}{8} \Big) \\ \\ = \dfrac{3}{16 \pi} (2 \pi) (\dfrac{32}{3}) \\ \\ = 4[/tex]

Answer:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.

Answer:

PQR and RQP

Step-by-step explanation:

We name the angle by providing 3 points - the middle point needs to be the tip of the angle, the other two should lie on the sides. The order of the sides doesn't matter (unless we define it to), so both PQR and RQP are valid names for this angle.

Step-by-step explanation:

This question is very straightforward.

Angle names always has a format: angle aBc

, where the middle letter is always the angle you want to use or find the value of.

Therefore in this case, you can name the angle , as angle RQP or angle PQR.

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Answer:

35+70=105, 180-105=75 so the answer is c 75°

Step-by-step explanation:

Answer:

I DONT KNOW SOORY

Step-by-step explanation:

jbjnmbgkuyhjn

Answer:32

Step-by-step explanation:

i think the answer will be 32 feet

Answer:

x = 16

Step-by-step explanation:

First add all of your angles together to get:

9x + 36

Then set that equal to 180:

9x + 36 = 180

Now solve Algebraically:

Subtract 36 from both sides:

9x = 144

Then divide by 9:

x = 16

The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.

Answer:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

Step-by-step explanation:

Since this circle is partial we will divide the area of the whole circle by 2

the area of a circle is expressed by [tex]\pi r^2[/tex] so insert 14 for the radius.

[tex]14^2\pi[/tex]

[tex]196\pi[/tex]

divide the area by 2

[tex]98\pi=307.876[/tex]

Hope that helps :)

Answer:

No

Step-by-step explanation:

No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.

I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!

Answer:

LN = 4 units

Step-by-step explanation:

Since M is on LN , then

LN = LM + MN , that is

4x = 3 + x ( subtract x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Then

LN = 3 + x = 3 + 1 = 4

The required length of the line LN = 4.

Given that,
Point M is on the line segment LN. Given LN=4x, MN= x, and LM=3,  to determine the numerical length of LN.

The line is a curve showing the shortest distance between 2 points.

LN = LM + MN
4x = 3 + x
4x - x = 3
3x = 3
x = 3 / 3
x = 1

Length of LN
LN = 4x
     = 4 * (1)
     = 4

Thus the required length of the line LN = 4.

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

Answer:

#3

Step-by-step explanation:

Answer:

Hello your question is poorly written attached below is the complete question

answer :  attached below

Step-by-step explanation:

To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem

Attached below is the proof

Answer:

1.

1 1/15

2.

1 7/15

3.

I think that the sister rode farther by 2/5

reason:

(the sister) 2/3 mile+4/5 mile=1 7/15

(you) 2/3 mile+2/5=1 1/15

1 7/15-1 1/15= 2/5(according to a website I used)

9514 1404 393

Answer:

  $70

Step-by-step explanation:

The amount Elijah has remaining is ...

  $300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70

To the nearest dollar, Elijah has $70 left.

_____

Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).

Answer: 3

Step-by-step explanation:

12.9/4.3 will give you the number it was multiplied by.

Answer:

84%

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

on Khan Academy

Answer:

30°,60°,90°

Step-by-step explanation:

All angles in a triangle added up make 180°. Add all numbers in the ratio and divide 180° by it. 180°÷6=30 so 1 in the ratio expression is equal to 30°. Because we know this, we can multiply each number in the ratio by 30° to get the answer above

Answer:

kurt

Step-by-step explanation:

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

Answer:

mean: 10.4

median: 9.5

Step-by-step explanation:

9514 1404 393

Answer:

  2800 tiles

Step-by-step explanation:

Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...

  (7 m²)/(0.0025 m²/tile) = 2800 tiles

It will take 2800 tiles to cover the entryway.

Answer:

try to multiply the $400 to the interest and divided by $22.40