The standard deviations of four data sets are shown in the table below. Which
of the data sets is the most spread out?

Answer:

16.704m

Step-by-step explanation:

To solve the above question, we are going to use the Trigonometric function of Sine.

sin θ = Opposite side/Hypotenuse

Where are given θ = 8°

Sin 8° = 0.1392

In the question, we are told that ,

A car travels 120m along a straight road that is inclined at 8° to the horizontal, hence,

Hypotenuse = 120m

We are asked to calculate the vertical distance through which the car rises hence,

Opposite side = vertical distance.

Therefore,

Sin 8° = Opposite/ 120m

Opposite = Sin 8° × 120m

Opposite = 0.1392 × 120m

Opposite = 16.704m

Therefore, the vertical distance through which the car rises is 16.704m

Answer:

97

Step-by-step explanation:

5 * 85 - 4* 82 = 97

Answer:

2x - 2

Step-by-step explanation:

Here is the completer question

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Solution

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Expanding the brackets, we have

lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx

Collecting like terms. we have

lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x  + 2x + 3 - 3)]/Δx

Simplifying, we have

lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx

lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx

Dividing through by Δx, we have

lim as Δx → 0 [2x - 2 + (Δx)]

Inserting Δx = 0, we have

= lim as Δx → 0 (2x -2 + 0)

= 2x -2

So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2

Answer:

the answer is d. -5120

Step-by-step explanation:

[tex]a_{n} =-5(4)^{n-1}\\a_{6}=-5(4)^{6-1} \\a_{6}=-5(4)^{5} \\a_{6}=-5(1024)\\a_{6}=-5,120[/tex]

Answer:

24m^3

Step-by-step explanation:

Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent

Answer:

$5.70

Step-by-step explanation:

1. 25.00 - 2.20 = $22.80

2. 22.80 divided by 4 = $5.70

Answer:

$5.70

Step-by-step explanation:

let the price for each canvas be $x

hence the price of 4 canvases will be $4x

It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.

Hence we can assemble an equation:

$4x + $2.20 = $25

4x + 2.2 = 25   (subtract 2.2 from both sides)

4x = 25 - 2.2

4x =22.8  (divide both sides by 4)

x = 22.8 / 4

x = 5.7

Hence each canvas cost $5.70

Answer:

4>Y>-2 :) ..............

Answer:

[tex]\boxed{-2 < y \leq 4}[/tex]

Step-by-step explanation:

For y is no greater than 4, it would be either less than or equal to 4. So, the inequality for it would be:

y ≤ 4

Now, the inequality for y more than -2:

-2 < y

Combining the inequality:

-2 < y ≤ 4

Answer:

11/35

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I think the answer is 6

Answer:

388.6 yd²

Step-by-step explanation:

the missing angle in triangle is 180 - 32 - 38 = 110

Law of sines: 31/sin 38 = VT/sin 32

VT = 26.68

area = 1/2ab sinC

A = 1/2 (31)(26.68) sin 110

388.6 yd²

Answer:

a. 4r² b. 2r c. 6 cm

Step-by-step explanation:

The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.

Now, equating both expressions, 6L² = 24r²

dividing both sides by 6, we have

6L²/6 = 24r²/6

L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².

b.  Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have

√L² = √4r²

L = 2r

So, the polynomial that represents the length of an edge of the cube is L = 2r

c. The length of an edge of the cube is L = 2r. When r = 3 cm.

L = 2r = 2 × 3 cm = 6 cm

So, the length of an edge of the cube is 6 cm.

Answer:

y = -7

Step-by-step explanation:

-3x – 2y = -25

Let x = 13

-3 * 13 -2y = -25

-39 -2y = -25

Add 39 to each side

-39+39 -2y = -25+39

-2y =14

Divide by -2

-2y/-2 = 14/-2

y = -7

Answer:

y = -7

Step-by-step explanation:

-3x - 2y = -25

Plug x as 13.

-3(13) - 2y = -25

-39 - 2y = -25

Add 39 on both sides,

- 2y = 14

Divide both sides by -2.

y = -7

Answer:

more explanation ?

Step-by-step explanation:

Answer:

Circumference = πd

where d = diameter

Step-by-step explanation:

When using this formula you don't need to multiply by 2 like you do when using the radius because the diameter is twice the radius of a circle.

Answer:

There are actually two formulas c=πd or pi=c/d.

Step-by-step explanation:

This is how they relate to each other. Let's say you were to isolate for pi. So, for 2pir, we have to divide both sides by 2r or the diameter. 2r=d because the diameter is equal to having two radii or radiuses. When you isolate pi, you will see that pi= to the circumference, c, divided by the diameter, d. Therefore, you can say that the circumference is approximately 3.14 or pi times greater than the diameter. In fact, that is what pi is. It is a ratio that shows the relationship between the circumference and the diameter. In other words, pi=c/d. Hope this helps!

Step-by-step explanation:

I DON'T KNOW WHICH ANSWER IS CORRECT .

BUT MY ANSWER CAME THIS .

I HOPE IT WILL HELP YOU.

HAVE A NICE DAY.....

Answer:

1/17

Step-by-step explanation:

You're on the right track so far!

(2³ + 3²) ⁻¹

= (8 + 9) ⁻¹

= (17) ⁻¹

= 1/17 (Remember, (a)⁻ⁿ = 1 / aⁿ)

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A = 2   B = 3

(a^b + b^a)^-1

(2^3 + 3^2)^-1

1/7 or 0.058824

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

[tex]\large \boxed{\sf \ \ a = 2, \ b = -2, \ c = -3 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]2x^2 - 8x + 5=2(x^2-4x)+5\\\\\text{*** We notice that *** }\\\\\text{*** } x^2-4x=(x-2)^2-2^2=(x-2)^2-4\\\\\text{*** So we can write ***}\\\\2x^2 - 8x + 5=2(x^2-4x)+5=2\left( (x-2)^2-4\right)+5\\\\=2\left(x-2\right)^2-8+5=\boxed{2\left(x-2\right)^2-3}[/tex]

So a = 2, b = -2, c = -3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

1. Cash flow statements; the investing section

Step-by-step explanation:

The cash flow statements is a useful document that shows where the company receives funds and uses it. Thus, it shows both incoming and outgoing cash flow.

The investment section of the cash flow statement is where all the amount of cash paid for acquisitions of property and equipment is imputed. Usually the transactions are written as capital expenditure.

Answer:

please mark my answer brainliest

Step-by-step explanation:

ok

Answer:

see below

Step-by-step explanation:

y = 3/4x + 3

To find the y intercept, let x =0 and solve for y

y = 0+3

The y intercept is 3

To find the x intercept, let y =0 and solve for y

0 = 3/4x+3

-3 = 3/4x

-3 *4/3 = 3/4x*4/3

-4 =x

The x intercept is -4

━━━━━━━☆☆━━━━━━━

▹ Answer

y-intercept = 3

x-intercept = -4

▹ Step-by-Step Explanation

y = mx + b

y = 3/4x + 3

0 = 3/4x + 3

-3 = 3/4x

-3 * 4/3 = 3/4x * 4/3

x = -4

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Hey there!

(2x-6)(x+1)

2x^2-6x+2x-6

2x^2-4x-6

Hope this helps :)

Answer:

2x^2 -4x-6

Step-by-step explanation:

(2x-6)(x+1)

FOIL

first: 2x*x = 2x^2

outer: 2x*1 = 2x

inner: -6*x = -6x

last: -6*1 = -6

Add them together

2x^2 +2x-6x-6

Combine like terms

2x^2 -4x-6

Answer:

Assuming this is a linear problem, the equation would look like this:

C(m)=Mx

Step-by-step explanation:

Because you don't have any other details, this as much of an answer I can give you. The cost for the company depends on how many mugs they produce. If the cost for making a mug is 3 dollars, then m would be that value, and x would be the amount of mugs you're trying to make.

The relationship between the number of mugs and the cost for company A will be c = nm.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Write an equation to represent the relationship between the number of mugs and the cost for company A.

The cost for company A is directly proportional to the number of mugs.

c ∝ m

c = nm

Where 'n' is the cost of each mug.

The relationship between the number of mugs and the cost for company A will be c = nm.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

(A)[tex][x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}][/tex]

Step-by-step explanation:

A polynomial has a leading coefficient of 1 and the  following factors with multiplicity 1:

[tex]x-(2+i)\\x-\sqrt{2}[/tex]

We apply the following to find the factored form of the polynomial.

[tex]\text{Complex conjugate of }x-(2+i)=x-(2-i)\\\\\text{Complex conjugate of }x-\sqrt{2}=x+\sqrt{2}[/tex]

Therefore, the factored form of the polynomial is:

[tex][x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}][/tex]

Answer:

A

Step-by-step explanation:

EDGE 2021

Answer:  f(x) is an odd function

Step-by-step explanation:  The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.

Answer:

f(x) is an odd function.

Step-by-step explanation:

Answer: m-a+k+b

Step-by-step explanation:

m-(a-k-b)= m+-1*(a-k-b). Then, simply use distributive property to simplify the equation into m-a+k+b

Hope it helps <3

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

[tex]x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}[/tex]

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

1.if tip included in fare, total amount paid by Angela =(55$/x) +8$

if tip is not included in fare than total amount paid by angela = (63$/x)+8$

Explanation :-

According to qus

Total friends included Angela = x

Total fare paid by them =63$

If tip included in total fare, than total fare without tip=63-8

= 55$

Sothat,

amont paid by individual =total fare /total friends. 55$/x

If tip not include in total fare than total amount paid by individual =63$/x

Answer:

a) [tex]\overrightarrow{PQ} = (8,8, 2)[/tex] or [tex]\overrightarrow{PQ} = 8\,i + 8\,j + 2\,k[/tex], b) The magnitude of segment PQ is approximately 11.489, c) The two unit vectors associated to PQ are, respectively: [tex]\vec v_{1} = (0.696,0.696, 0.174)[/tex] and [tex]\vec v_{2} = (-0.696,-0.696, -0.174)[/tex]

Step-by-step explanation:

a) The vectorial form of segment PQ is determined as follows:

[tex]\overrightarrow {PQ} = \vec Q - \vec P[/tex]

Where [tex]\vec Q[/tex] and [tex]\vec P[/tex] are the respective locations of points Q and P with respect to origin. If [tex]\vec Q = (13,13,3)[/tex] and [tex]\vec P = (5,5,1)[/tex], then:

[tex]\overrightarrow{PQ} = (13,13,3)-(5,5,1)[/tex]

[tex]\overrightarrow {PQ} = (13-5, 13-5, 3 - 1)[/tex]

[tex]\overrightarrow{PQ} = (8,8, 2)[/tex]

Another form of the previous solution is [tex]\overrightarrow{PQ} = 8\,i + 8\,j + 2\,k[/tex].

b) The magnitude of the segment PQ is determined with the help of Pythagorean Theorem in terms of rectangular components:

[tex]\|\overrightarrow{PQ}\| =\sqrt{PQ_{x}^{2}+PQ_{y}^{2}+PQ_{z}^{2}}[/tex]

[tex]\|\overrightarrow{PQ}\| = \sqrt{8^{2}+8^{2}+2^{2}}[/tex]

[tex]\|\overrightarrow{PQ}\|\approx 11.489[/tex]

The magnitude of segment PQ is approximately 11.489.

c) There are two unit vectors associated to PQ, one parallel and another antiparallel. That is:

[tex]\vec v_{1} = \vec u_{PQ}[/tex] (parallel) and [tex]\vec v_{2} = -\vec u_{PQ}[/tex] (antiparallel)

The unit vector is defined by the following equation:

[tex]\vec u_{PQ} = \frac{\overrightarrow{PQ}}{\|\overrightarrow{PQ}\|}[/tex]

Given that [tex]\overrightarrow{PQ} = (8,8, 2)[/tex] and [tex]\|\overrightarrow{PQ}\|\approx 11.489[/tex], the unit vector is:

[tex]\vec u_{PQ} = \frac{(8,8,2)}{11.489}[/tex]

[tex]\vec u_{PQ} = \left(\frac{8}{11.489},\frac{8}{11,489},\frac{2}{11.489} \right)[/tex]

[tex]\vec u_{PQ} = \left(0.696, 0.696,0.174\right)[/tex]

The two unit vectors associated to PQ are, respectively:

[tex]\vec v_{1} = (0.696,0.696, 0.174)[/tex] and [tex]\vec v_{2} = (-0.696,-0.696, -0.174)[/tex]

Answer:

h = 7 units

Step-by-step explanation:

Jessica made an error with the [tex]\frac{1}{2}[/tex] in that she multiplied A by it instead of dividing.

Given

A = [tex]\frac{1}{2}[/tex] bh

with A = 17.5 and b = 5, then

17.5 = [tex]\frac{1}{2}[/tex] × h × 5 ( multiply both sides by 2 to clear the fraction )

35 = 5h ( divide both sides by 5 )

h = 7

it is wrong .

Jessica's mistake:

A = 1/2bh

1/2A • b = h >she should multiply the area with 2 not 1/2 and divide the area by b rather than multiply by b

1/2 (17.5)(5) = h

43.75 = h

correct answer:

A = 1/2bh

2A/b=h

h=2(17.5)/5

h=7

Answer:

Series A has an r value of 2/5 and series A has an r value of 3. The sum of the series A is 50/3

Step-by-step explanation:

A geometric sequence is in the form a, ar, ar², ar³, .  .   .

Where a is the first term and r is the common ratio = [tex]\frac{a_{n+1}}{a_n}[/tex]

For series A:  10+4+8/5+16/25+32/125+⋯   The common ratio r is given as:

[tex]r=\frac{a_{n+1}}{a_n}=\frac{4}{10} =\frac{2}{5}[/tex]

For series B: 1/5+3/5+9/5+27/5+81/5+⋯   The common ratio r is given as:

[tex]r=\frac{a_{n+1}}{a_n}=\frac{3/5}{1/5} =3[/tex]

For series A a = 10, r = 2/5, which mean 0 < r < 1, the sum of the series is given as:

[tex]S_{\infty}=\frac{a}{1-r}=\frac{10}{1-\frac{2}{5} } =\frac{50}{3}[/tex]