Find the nth term of sequence,0,-6,-12,-18

Answer: positive correlation likely causal

Step-by-step explanation:

Answer:

[tex] 5.1 - 2.015 \frac{19.1}{\sqrt{45}}= -0.637[/tex]

[tex] 5.1 + 2.015 \frac{19.1}{\sqrt{45}}= 10.837[/tex]

And for this case since the confidence interval contains the value 0 we don't have significant evidence that we have a net change in the levels

Step-by-step explanation:

For this case we have the following info given:

[tex] n=45[/tex] represent the sample size

[tex] \bar X= 5.1[/tex] represent the sample mean

[tex] s= 19.1[/tex] represent the sample deviation

We can calculate the confidence interval for the mean with the following formula:

[tex] \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

The confidence level is 0.90 then the significance level would be [tex]\alpha=0.1[/tex] and the degrees of freedom are given by:

[tex] df= n-1 = 45-1=44[/tex]

And the critical value for this case would be:

[tex] t_{\alpha/2}=2.015[/tex]

And replacing we got:

[tex] 5.1 - 2.015 \frac{19.1}{\sqrt{45}}= -0.637[/tex]

[tex] 5.1 + 2.015 \frac{19.1}{\sqrt{45}}= 10.837[/tex]

And for this case since the confidence interval contains the value 0 we don't have significant evidence that we have a net change or efectiveness in the levels

Answer:

its 13/56.

Step-by-step explanation:

13/4d= 14

or , 13 = 14×4d

or, 13=56 d

or, d = 13/56.

Answer:

The answer is D

Step-by-step explanation:

1 3/4d= 14

7/4d = 14

d = 8

Hope I helped pls tell me if i'm wrong :D

Answer:

Hydro static force is =18377 N

Step-by-step explanation:

The hydro static force is equals to the hydro static pressure times the area.

The hydro static pressure of a fluid increases as the depth of the fluid increases and the formula of it is given below.

Hydro static Pressure, P = d·g·ρ

Where, d is the depth of the object

g is the gravitational constant

ρ is the density of the fluid

Density of water   ρ = [tex]1000 kg/m3[/tex]

=1000 kg/m^3 * 9.8m/s^2 which is √(3/2).a below the water level.

Side of the plate  x = 10 m

The hydrostatic force = the pressure at the center x the area =[tex][sqrt(3)/2 m][1000 kg/m^3 * 9.8m/s^2][/tex][tex][(1/2)(3)(8)(sqrt(3)/2) m^2][/tex]=18377 N

Answer: x = 22

Step-by-step explanation: To get x by itself, we divide both sides by 2 and we have x = 22 which is the solution to this equation.

Answer:x=22

Step-by-step explanation:divide 3 by both sides makes x=22

Answer:

  x = 2.4

Step-by-step explanation:

We assume you intend ...

  [tex]\sqrt{x^2+49}=x+5\\\\x^2+49=x^2+10x+25\qquad\text{square both sides}\\\\24=10x\qquad\text{subtract $x^2+25$}\\\\\boxed{2.4=x}\qquad\text{divide by 10}[/tex]

Answer:

38500lbs

Step-by-step explanation:

2000 lbs is one tone

if we have 19.25 tons, we need to multiply 19.25x2000

The answer is 38500 lb

Answer:

38,500 pounds

Step-by-step explanation:

Every ton is 2,000 pounds.

We want to find out how many pounds are in 19.25 tons.

Set up a proportion.

pounds/tons=pounds/tons

2,000 pounds/ 1 ton= x pounds / 19.25 tons

2,000/1= x  /19.25

x is being divided by 19.25. The inverse of division is multiplication. Multiply both sides by 19.25.

19.25*2,000/1= x/19.25 *19.25

19.25*2000=x

38,500=x

There are 38,500 pounds in 19.25 tons.

Answer:

the answer is D

Step-by-step explanation:

leshawna should've won season 1 PERIODT

6.51 × [tex]10^{-2}[/tex] oz grain of spice weighs more than the particle of unobtainium.

Given that, the weight of a particle of unobtainium is [tex]2.66\times10^{-6}[/tex] oz and the weight of a grain of spice is [tex]9.17\times10^{-4}[/tex] oz.

We need to find how much more grain of spice weighs than the particle of unobtainium.

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

Now,  [tex]9.17\times10^{-4}[/tex] - [tex]2.66\times10^{-6}[/tex]

=9.17-2.66 × [tex](10^{-4}-10^{-6})[/tex]

=6.51 × [tex]10^{-2}[/tex]

Therefore, 6.51 × [tex]10^{-2}[/tex] oz grain of spice weighs more than the particle of unobtainium.

To learn more about a scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

Answer:

12am

Step-by-step explanation:

Answer:

12:00 am or midnight

Step-by-step explanation:

00 00 hrs in 12-hours clock is 12:00 am or 12:00 o'clock midnight.

Answer:

25

Step-by-step explanation:

C^2=A^2+B^2

C^2=24^2 + 7^2

C^2=576+49

C^2=625

C=√625

c=25

Answer:

https://brainly.com/question/8847227

Step-by-step explanation:

Answer: 7:3

Step-by-step explanation:

hope this helps

Answer:

3:7

Step-by-step explanation:

i took the test hope this helps ‍

Answer:

x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s . this should help I asked my brother for the answer and he told me to put this happy to help :0

Answer:

44π rads per seconds

Step-by-step explanation:

Already the speed of the 4 foot blade is given as 22 revolutions per sec.

What we have to do is just to convert the 22 revolutions per second to radians.

1 rev = 360°

360° = 2π

So the speed is actually equal to

22 *360 = 7920° per second

Or

22*2π = 44π rad per seconds

What ever way the answers are both same.

Answer

h = 5m

Step-by-step explanation:

area of a parallelogram is b * h

base = 14 m

h = ?

Area = 70 m²

Area = b * h

70 = 14 * h

h = 70 / 14

h = 5 m

Answer:

D -price of car wash keeps getting higher

Answer: The price of a car wash keeps getting higher

Step-by-step explanation:

Answer:

  $2.67 million

Step-by-step explanation:

Average price per slot is found by dividing total price by total slots:

  ($136 million)/(51 slots) ≈ $2.67 million/slot

The mean price per ad slot was $2.67 million.

Answer:

[tex]Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m[/tex]

Step-by-step explanation:

Given that , dimension of the cardboard is 4 m by 8 m.

Lets the dimensions of the square is x m by x m.

The volume after cutting the equal size of square from all the four corners is given as

[tex]V=x\times (4-2x)\times (8-2x)\\V=x\times (32-16x-8x+4x^2)\\V=x\times (4x^2-24x+32)\\V=4x^3-24x^2+32x\\[/tex]

For the maximum volume

[tex]\dfrac{dV}{dx}=12x^2-48x+32=0\\3x^2-12x+8=0\\[/tex]

For maximum value of volume , the value of x will be 0.845

x= 0.845

Therefore the dimensions will be

[tex]Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m[/tex]

The volume of a shape is the amount of space in the shape.

The dimensions that produce the largest volume are: 2.31 m by 6.31 m by 0.845 m

The dimensions of the cardboard is given as:

[tex]\mathbf{Length = 4m}[/tex]

[tex]\mathbf{Width = 8m}[/tex]

Assume the cut-out is x.

So, the dimension of the box is:

[tex]\mathbf{Length = 4 - 2x}[/tex]

[tex]\mathbf{Width = 8 - 2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, the volume of the box is:

[tex]\mathbf{V = (4 - 2x)(8 - 2x)x}[/tex]

Expand

[tex]\mathbf{V = 32x -24x^2 + 4x^3}[/tex]

Differentiate

[tex]\mathbf{V' = 32 -48x + 12x^2}[/tex]

Set to 0

[tex]\mathbf{32 -48x + 12x^2 = 0}[/tex]

Divide through by 4

[tex]\mathbf{8 -12x + 3x^2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{3x^2-12x +8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{x = 0.845,\ 3.155}[/tex]

3.155 is greater than the dimension of the box.

So, we have:

[tex]\mathbf{x = 0.845}[/tex]

Recall that:

[tex]\mathbf{Length = 4 - 2x}[/tex]

[tex]\mathbf{Width = 8 - 2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, we have:

[tex]\mathbf{Length = 4 - 2 \times 0.845 = 2.31}[/tex]

[tex]\mathbf{Width = 8 - 2 \times 0.845 = 6.31}[/tex]

[tex]\mathbf{Height = 0.845}[/tex]

Hence, the dimensions that produce the largest volume are: 2.31 m by 6.31 m by 0.845 m

Read more about volumes at:

https://brainly.com/question/15918399

Answer:

Factoring is a useful skill in real life. Common applications include: dividing something into equal pieces, exchanging money, comparing prices, understanding time, and making calculations during travel.

Sorry if this is a little wordy, I can get carried away with this sort of thing

anyway, hope this helped and answered your question :)

Answer:

x = 25

Step-by-step explanation:

you just work out all of the degrees in the other triangles first

Answer:

1. ∆CBD:      ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°

2. ∆CDA: ∠ACD = 70°;      ∠A = 20°; ∠ ADC = 90°

Step-by-step explanation:

1. ∆DBC

In ∆ABC

 ∠A + ∠B + ∠C = 180°

20° + ∠B + 90 ° = 180°

         ∠B + 110 ° = 180°

      ∠DBC = ∠B =  70°

In ∆CBD

                      ∠BDC =  90°

∠B + ∠BCD + ∠CBD = 180°

  70° + ∠BCD + 90 ° = 180°

           ∠BCD + 160° = 180°

                        BCD =   20°

2. ∆CAD

∠A + ∠ACD + ∠ADC = 180°

   20° + ∠ACD + 90° = 180°

            ∠ACD + 110° = 180°

                      ∠ACD =   70°

Answer:

The simple interest is Prt

The simple interest on the money will be $24300

Step-by-step explanation:

The complete question is shown below

The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$18,000, r=7.5%, t=18 months

Principal = P

Interest rate = r

Time period = t

simple interest owed for the use of the money will be gotten as below

The percentage of the principal that will be owed per unit period is the rate r

The total rate that it will be involved in this time period will be the product of the rate and the time = r x t = rt

Finally, to know the amount of interest that this rate will result to, we multiply the total rate in the time period by the original principal borrowed

Total interest = Prt

For a simple interest on the principal P = $18,000,

the interest rate = 7.5% = 7.5/100 = 0.075,

time period = 18 months

we assume the interested is calculated on a monthly basis

Simple interest = Prt

==> 18000 x 0.075 x 18 = $24300

Answer:

41.1 units

Step-by-step explanation:

find the area of the triangle

1/2BH

1/2*8*4

4*4=16

find the area half of the circle

pi*R^2

3.14*4^2

3.14*16

50.24/2

^because it is a half circle you divide by 2

25.12+16=41.1

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

Answer:

A. The absolute maximum is nothing at x equals nothing, but there is no absolute minimum.

Step-by-step explanation:

The equation is :

f(x) = 2x2 + x2

The function has not absolute maximum value and it has absolute minimum value 0. The both function has maximum value as nothing.

Answer:

Option D is the right option

solution,

[tex]3x - 9 = - 33 \\ or \: 3x = - 33 + 9 \\ or \: 3x = - 24 \\ or \: x = \frac{ - 24}{3} \\ x = - 8[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-8

Step-by-step explanation:

3x-9=-33

transpose 9 to RHS

->3x=-33+9=> 3x=-24

transposing 3 to RHS

=> x=-24÷3

=> x=-8

Answer:

(2.x) + (2.7) = 36

Step-by-step explanation:

Solving the given equation with the distributive property,

 A(B + C) = (A.B) + (A.C)

So that,

2(x+7) = 36

(2.x) + (2.7) = 36

2x + 14 = 36

2x = 36 - 14

2x = 22

x = 11

From the given expressions, the option that is the correct first step to solving this equation is;

(2.x) + (2.7) = 36

Answer:

Here you go

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

In this situation it seems like we should be rounding to 50 because the numbers work well that way, and it is nice number commonly unsed in these situaltions. So, 645 rounded to the nearentest 50 would be 650. And 273 rounded to the nerent 50 would be 300. Now if we subtract 300 from 650, (650-300) we will get 350.

True.

Integration is also called anti-differentiation, mathematically its an inverse function of differentiation.

For example, one of the first equalities learned is:

[tex]f(x)=g'(x)\Longleftrightarrow\int g'(x)dx=f(x)[/tex].

Which explains that if you differentiate a function (get its derivative) and then integrate the derivative you will obtain the original function.

Hope this helps.

Answer:

The width is 5m and the length is 10m.

Step-by-step explanation:

Rectangle:

Has two dimensions: Width(w) and length(l).

It's area is:

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

The length of a rectangle is 5m less than three times the width

This means that [tex]l = 3w - 5[/tex]

The area of the rectangle is 50m^(2)

This means that [tex]A = 50[/tex]. So

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

[tex]50 = w*(3w - 5)[/tex]

[tex]3w^{2} - 5w - 50 = 0[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]3w^{2} - 5w - 50 = 0[/tex]

So

[tex]a = 3, b = -5, c = -50[/tex]

[tex]\bigtriangleup = (-5)^{2} - 4*3*(-50) = 625[/tex]

[tex]w_{1} = \frac{-(-5) + \sqrt{625}}{2*3} = 5[/tex]

[tex]w_{2} = \frac{-(-5) - \sqrt{625}}{2*3} = -3.33[/tex]

Dimension must be positive result, so

The width is 5m(in meters because the area is in square meters).

Length:

[tex]l = 3w - 5 = 3*5 - 5 = 10[/tex]

The length is 10 meters