What is the value of x?
60°
/700
x
0 130
O 110
60
050

Answer:

[tex]\dfrac{dV}{dt}=502.65\ mm^3/s[/tex]

Step-by-step explanation:

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

The rate of change of volume means,

[tex]\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}[/tex]

We have, [tex]\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm[/tex]

So,

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s[/tex]

So, the volume is increasing at the rate of [tex]502.65\ mm^3/s[/tex].

Answer:

1143

Step-by-step explanation:

The scatterplot demonstrates the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.

When two variables increases together, they are said to have positive correlation.

When one is increasing and another is decreasing, they are said to have negative correlation.

When most of  data points form a straight line or lies close to the straight line, it indicates strong linear correlation.

From the given options;

Option A, zero correlation

Option B, less than 1

Option C, 1 or greater than 1

Option D, -1 or less than 1

Thus, the scatterplot demonstrates the strongest relationship between two quantitative variables is option C, "a graph has x on the x-axis, and y on the y-axis. Points increase loosely together".

Learn more about scatterplot here: brainly.com/question/6592115

#SPJ2

Answer:

$671.44

Step-by-step explanation:

$23.98 * 28 (people) = $671.44

Answer:

$671.44

Step-by-step explanation:

Answer:

332, 333, 334

Step-by-step explanation:

First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.

Answer:

(3.5, 2)

Step-by-step explanation:

From the attachment, we have:

[tex]H = (1,1)[/tex]

[tex]J= (2,3)[/tex]

[tex]K=(6,3)[/tex]

[tex]L = (5,1)[/tex]

Required

Determine the point of intersection

To do this, we simply calculate the midpoints of the diagonals; which are:

HK and JL

Midpoint is calculated as:

[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]

For HK:

[tex]M = \frac{1}{2}(1+6,1+3)[/tex]

[tex]M = \frac{1}{2}(7,4)[/tex]

[tex]M = (3.5,2)[/tex]

For JL:

[tex]M = \frac{1}{2}(2+5,3+1)[/tex]

[tex]M = \frac{1}{2}(7,4)[/tex]

[tex]M = (3.5,2)[/tex]

For both diagonals, the coordinate of the midpoint is (3.5, 2).

Hence, the point of intersection is: (3.5, 2)

Answer:

566556565*7*7/*7+666364

Answer: C

Step-by-step explanation: The layers of rocks implies superposition and changes in species implies evolution

Answer:

0.416667 foot

Step-by-step explanation:

Answer: 0.41666667

Step-by-step explanation:

From the internet

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Answer:

sln

f(x) =-22+x+14 put 2 in x

f(2)=-22+2+14

f(2) =38

Answer:

no idea but mabye someone whose NOT in 3rd grade will know?

And the answer is : 4m+m=180.

Do hope you will find it helpful!

Step-by-step explanation:

Answer:

you got it!

Step-by-step explanation:

Answer:

You did do it correct!

For questions 21 and 22 is their a certain way you have to fill in the missing numbers?

I would do...

21. 2 and 5

22. 10 and 10

I am not sure though if there is a correct way to answer those two questions.

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

Given

[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Required

Prove

On the right hand side, we have:

[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Rewrite:

[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Apply law of indices

[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]

[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Express 6 as 3.5 + 2.5

[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Open bracket

[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Proved

Answer:

2000ffdtsyjeauets esy siy eut aiteais6i6 es i6sei6 s3

Answer:

I think question is not proper

you should check it again

hope your day will fine

Answer:

Whatttt

Step-by-step explanation:

Answer:

Liters and milliliters are metric units for measuring capacity

Step-by-step explanation:

Answer:

liters

Step-by-step explanation:

Answer:

105 by alternate interior

Step-by-step explanation:

105 by alternate interior

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

lateral area of pyramid = surface area of pyramid - base area

= 384 - 8²

= 320 cm²

area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)

slant height = 20 cm

Answer: 32, 25, and 13 are possible side lengths.

Step-by-step explanation:

The lengths of any two sides of a triangle must sum up to more than the length of the third side.

15 + 27 = 42

42 = 42

The sum has to be MORE than the third side.

15 + 27 = 42

42 > 11

15 + 11 = 26

26 < 27

The sum of two sides can't be LESS than the third side.

15 + 27 = 42

42 > 32

15 + 32 = 47

47 > 27

27 + 32 = 59

59 > 15

Possible Side Length!

15 + 27 = 42

42 < 45

Can't be less

15 + 27 = 42

42 > 25

15 + 25 = 40

40 > 27

27 + 25 = 52

52 > 15

Possible Side Length!

15 + 27 = 42

42 > 13

15 + 13 = 28

28 > 27

27 + 13 = 40

40 > 15

Possible Side Length!

Answer:

Slope: -1

Step-by-step explanation:

(0, -2) and (1, -3)

m= (y2-y1)/(x2-x1)

m= (-3+2)/(1-0)

m= (-1)/(1)

m = -1

Answer:

35

Step-by-step explanation:

The answer is 35 degrees

Answer:

1.57

Step-by-step explanation:

Answer:

1.57

Step-by-step explanation:

Circumference = 2pi(r) = 2(3.14)1 = 6.28

1/4x6.28=1.57

Answer:

57.14$

Step-by-step explanation:

70/100 ( Remember 30% off so only paid 70% of original price) = 40/x ( 40$ is the price paid, x is the unknown original price)

70 = 40

100 X

40×100 = 4,000

4,000÷ 70X = 57.14