4. A dolphin decsends toward the bottom of
the ocean at a rate of 12 feet per second
for 20 seconds. How much did the
dolphin's position change in all? (5 points
for work, 5 points for answer) (TEK 7.3B)

Answer: C) 2 dimensions; flat surface of length and width, but no depth

One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.

The statement that describes the dimensions of a plane is (c) a plane has two dimensions because it is a flat surface that has length and width but no depth.

To understand what a plane is, take a look at a flat surface such that:

Notice that the above surfaces have just two dimensions (horizontal and vertical).

This is so because they are flat surfaces, and they have no heights

Hence, the statement that describes the dimensions of a plane is (c)

Read more about planes at:

https://brainly.com/question/13459927

Answer:

[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]

Step-by-step explanation:

The Cylindrical coordinates are:

x = rcosθ, y = rsinθ and z = z

From the question, on the xy-plane;

[tex]9 -16 (x^2 + y^2) = 0 \\ \\ 16 (x^2 + y^2) = 9 \\ \\ x^2+y^2 = \dfrac{9}{16}[/tex]

[tex]x^2+y^2 = (\dfrac{3}{4})^2[/tex]

where:

0 ≤ r ≤ [tex]\dfrac{3}{4}[/tex] and 0 ≤ θ ≤ 2π

∴

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} \int ^{9-16r^2}_{0} \ r \times rdzdrd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 z|^{z= 9-16r^2}_{z=0} \ \ \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 ( 9-16r^2}) \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} ( 9r^2-16r^4}) \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( \dfrac{9r^3}{3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3r^3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) d \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) \theta |^{2 \pi}_{0}[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}})2 \pi[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{64}}-\dfrac{243}{320}})2 \pi[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{160}})2 \pi[/tex]

[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]

Answer:

n=2

Step-by-step explanation:

(6n-7)+(8n+2)=23

14n-5=23

14n=28

n=2

Step-by-step explanation:

Odds against = failures / successes

Probability = successes / (successes + failures)

0.21 = cats / (cats + no cats)

1 / 0.21 = (cats + no cats) / cats

4.76 = 1 + (no cats / cats)

3.76 = no cats / cats

So the odds against are 3.76 to 1.  

Answer:

$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though

Step-by-step explanation:

You would divide 3.05 by itself to get one pound

and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.

3.87÷3.05=1.268852459

Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.

Answer:

Step-by-step explanation:

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.

Answer:

Solution

Step-by-step explanation:

To make the equation true, you need to have proof that it is correct. Therefore, a solution.

Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.

Answer:

6 3/10.

Step-by-step explanation:

4 1/5 = 21/5

21/5 / 2/3

=21/5 * 3/2

= 63/ 10

=  6 3/10.

Answer:

Step-by-step explanation:

d) 48 is a factor of 144 as 48 multiplied by 3=144

The factor of the given number 144 is 48 and this can be determined by using the definition of the factors.

Given :

Number  --  144

The following steps can be used in order to determine the factors of the given number 144:

Step 1 - Equate the given number with any variable 'x'.

[tex]x = 144[/tex]

Step 2 - Number which is multiplied to another to get the final number is known as factors.

Step 3 - So, the factors of the given number 144 is:

[tex]144=48\times 3[/tex]

Therefore, the correct option is d).

For more information, refer to the link given below:

https://brainly.com/question/6810544

Answer:

When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as 41 instead of simplifying it to 4 so that we can see the two parts of the ratio.

Answer:

28

Step-by-step explanation:

35% × 80 =

(35 ÷ 100) × 80 =

(35 × 80) ÷ 100 =

2,800 ÷ 100 =

28

I hope this helps :)

Answer:

You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.

Not sample answer, but correct

Answer:

I need that answer too

Step-by-step explanation:

Answer:

total stick she has = 9*4 = 36

6 sticker is need in 1 page

so page required for 36 stickers = 36/6 = 6pages

Step-by-step explanation:

Answer:

ion know

Step-by-step explanation:

Answer:

Angle [tex]AEC=80[/tex]°

Step-by-step explanation:

Answer:

measure k is also 50 degrees

Answer:to be good at ratios you must simply look at the numbers and count them in the order that the question asks for

Step-by-step explanation:example 4:2 :::: ;; there are 4 : and 2 ;

Answer:

6.48

Step-by-step explanation:

Start with:

 [tex]4.88[/tex]

+ [tex]1.6[/tex]

I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]

Rewrite:

 [tex]4.88[/tex]

+ [tex]1.60[/tex]

Add.

[tex]6.48[/tex]

Answer:

ndjdjd sjsjns sjsjns snsjsbs sbnb hi x xnxnxx bz

Step-by-step explanation:

d

Answer:

x- intercept is 6 y- intercept is -18

Step-by-step explanation:

Just use the graph, this graph is hard to get the answer but you just have to estimate.

Answer: 3(2×+5)-(4×9) = -15

Step-by-step explanation:

Answer:

1. [tex]-x \div 11 = \frac{-1}{11}x[/tex]

2. [tex]z \times -5 = -5x[/tex]

Hope this helped you!

Answer:

see below

Step-by-step explanation:

[tex](\frac{7}{2} )^{4} =\frac{7^4}{2^4}=\frac{2401}{16}[/tex]

[tex](7*2^3)^3=7^3*2^{3*3}=343*2^9=343*512=175616[/tex]

[tex](7^2)(7^2)=7^{2+2}=7^{4}=2401[/tex]

[tex](7^2)(7)^0=7^{2+0}=7^2=49[/tex]

[tex](\frac{7}{2}) ^{-4}=\frac{7^{-4}}{2^{-4}}=\frac{2^{4}}{7^4} =\frac{16}{2401}[/tex]

[tex]\frac{7^6}{7^3} =7^{6-3}=7^{3}=343[/tex]

i don't know if you need all the numbers if you don't copy till when it has the exponents

Answer: FALSE

Step-by-step explanation:

F = n/4 + 37, for F = 50

50 = n/4 + 37

Subtract 37 from both sides

13 = n/4

Multiply both sides by 4

52 = n

Answer:

addittional property

Step-by-step explanation:

Answer:[tex]2s^{2} +11s+15[/tex]

Step-by-step explanation:

lenght of the pool = 2s+5

width of the pool= s+3

Area= [tex]l*w[/tex]

Just substitute the l and w

Area= [tex](2s+5)(s+3)[/tex]

=[tex]2s^{2}+5s+6s+15[/tex]

=[tex]2s^{2} +11s+15[/tex]

Answer:

true

i just anwwsered this one in my lessons