Sequence of transformation that take the graph y=x^2 to y=-2(x-5)^2+4

Answer:

8,185,320 different leadership structures

Step-by-step explanation:

Since the order at which the members of the committee are chosen matters, this is a permutation of 4 out 55 people and it is given by:

[tex]n=\frac{55!}{(55-4)!}=55*54*53*52 \\\\n=8,185,320[/tex]

8,185,320 different leadership structures are​ possible.

Answer:

A = $99

Step-by-step explanation:

Substitute the values for the variables and multiply them together.

[tex]A=prt\\A=(275)(0.09)(4)\\A=99[/tex]

Answer:

25.0000 + -37.5000 + 66.6667 + -63.5416 + 66.6667

Step-by-step explanation:

The actual formatting of the question has been attached to this response.

From the question,

Let the sequence of terms be [tex]b_{n}[/tex] i.e

[tex]b_{n}[/tex] = [tex]\frac{(-5)^{n+1} }{n!}[/tex]

Let the sequence of partial sums be [tex]S_{n}[/tex] i.e

[tex]S_{n}[/tex] = s₁ + s₂ + s₃ + . . . + sₙ

Therefore the first five terms of the sequence of partial sums will be S₅ i.e

S₅ =  s₁ + s₂ + s₃ + s₄ + s₅

Where;

s₁ = b₁

s₂ = b₁ + b₂ = s₁ + b₂

s₃ = b₁ + b₂ + b₃ = s₂ + b₃

s₄ = b₁ + b₂ + b₃ + b₄ = s₃ + b₄

s₅ = b₁ + b₂ + b₃ + b₄ + b₅ = s₄ + b₅

Where;

b₁ can be found by substituting n = 1 into equation (i) as follows;

[tex]b_{1}[/tex] = [tex]\frac{(-5)^{1+1} }{1!}[/tex]

[tex]b_{1}[/tex] = 25

[tex]b_{1}[/tex] = 25.0000

Recall that

s₁ = b₁

∴ s₁ = 25.0000 to 4 decimal places

--------------------------------------------------------------------------

b₂ can be found by substituting n = 2 into equation (i) as follows;

[tex]b_{2}[/tex] = [tex]\frac{(-5)^{2+1} }{2!}[/tex]

[tex]b_{2}[/tex] = -62.5

[tex]b_{2}[/tex] = -62.5000

Recall that

s₂ = s₁ + b₂

∴ s₂ = 25.000 + -62.5000 = -37.5000

-----------------------------------------------------------------------------------------

b₃ can be found by substituting n = 3 into equation (i) as follows;

[tex]b_{3}[/tex] = [tex]\frac{(-5)^{3+1} }{3!}[/tex]

[tex]b_{3}[/tex] = 104.1667

Recall that

s₃ = s₂ + b₃

∴ s₃ = -37.5000 + 104.1667 = 66.6667

--------------------------------------------------------------------------------

b₄ can be found by substituting n = 4 into equation (i) as follows;

[tex]b_{4}[/tex] = [tex]\frac{(-5)^{4+1} }{4!}[/tex]

[tex]b_{4}[/tex] = -130.2083

Recall that

s₄ =  s₃ + b₄

∴ s₄ = 66.6667 + -130.2083 = -63.5416

-------------------------------------------------------------------------

b₅ can be found by substituting n = 5 into equation (i) as follows;

[tex]b_{5}[/tex] = [tex]\frac{(-5)^{5+1} }{5!}[/tex]

[tex]b_{5}[/tex] = 130.2083

Recall that

s₅ = s₄ + b₅

∴ s₅ = -63.5416 + 130.2083 = 66.6667

------------------------------------------------------------------------------

Therefore, the first five terms of the partial sum is:

25.0000 + -37.5000 + 66.6667 + -63.5416 + 66.6667

Answer:

D

Step-by-step explanation:

use you law of sine

missing angle A = 41

21/sin41=x/sin24 = 13

21/sin41=x/sin115 = 29

The measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture

The measure of the angle A = 180 - (115+24)

Angle A = 41 degrees

Using sin law:

21/sin41 = AC/sin24

b = AC = 13 units

21/sin41 = AB/sin115

c = AB = 29

Thus, the measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.

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Answer:

$8.33

Step-by-step explanation:

[tex]Solve \:using \: proportion\\\\12\:apples = \$ 2\\50\:apples = \$ x\\Cross \: Multiply\\\\12x = 100\\\\\\\frac{12x}{12} = \frac{100}{12} \\\\x = \$ 8.333[/tex]

Answer:

About $8.33.

Step-by-step explanation:

Write a proportion. Make sure the values line up horizontally:

[tex]\frac{12\text{ apples}}{\$2} =\frac{50\text{ apples}}{\$x}[/tex]

Cross multiply:

[tex]100=12x\\x=25/3\approx\$8.33[/tex]

Answer:

The probability is  [tex]P(2) = 0.426[/tex]

Step-by-step explanation:

From the question we are told that

         The probability of  success is [tex]p = 0.26[/tex]

          The number of hits is  n =  7

Generally this probability follows a binomial distribution given there can only be two outcome i.e the probability of success and the probability of failure

       The probability of failure is  [tex]q = 1- p[/tex]

substituting values

               [tex]q = 1 - 0.26[/tex]

               [tex]q = 0.74[/tex]

Now the probability of  exactly 2 hits in his next 7 at bats is mathematically evaluated as

     [tex]P(2) = \left n} \atop {}} \right. C_2 *p^{2} * q^{n- 2}[/tex]

substituting values

    [tex]P(2) = \left 7} \atop {}} \right. C_2 *p^{2} * q^{7- 2}[/tex]

Here [tex]\left 7} \atop {}} \right. C_2[/tex] means 7  combination 2 and using a calculator(reference calculator soup website) to compute, the value obtained is  

          [tex]\left 7} \atop {}} \right. C_2 =21[/tex]

So

     [tex]P(2) = 21 *(0.26)^{2} * (0.74)^{5}[/tex]

     [tex]P(2) = 0.426[/tex]

Answer:

£39.20

Step-by-step explanation:

→ Identify which ratio goes to each person

2 : 1 : 5

2 = Paul

1 = Colin

5 = Brian

→ Divide the total tip by the total sum of the ratio's

£78.40 ÷ ( 2 + 1 + 5 ) ⇔ £78.40 ÷ 8 = £9.80

→ Now we know one part is equal to £9.80 we multiply this number by each of the associated ratio's

Paul = £9.80 × 2 ⇔ £19.60

Colin = £9.80 × 1 ⇔ £9.80

Brian = £9.80 × 5 ⇔ £49

→ Minus Brian's tip against Colin's tip

£49 - £9.80 = £39.20

Answer:

  x = (5 +5d)/(a -3c)

Step-by-step explanation:

Maybe you're to solve for x.

__

This is a typical "3-step" linear equation.

First, you collect terms with the variable x on one side of the equation. You do that by subtracting from both sides the x-term you don't want where it is.

We choose to remove the 3cx term from the right side, so we subtract it from both sides.

  ax -3cx -5d = 3cx -3cx +5 . . . . . . we have combined the constants, too

  x(a -3c) -5d = 5 . . . . . . simplify and factor out x

Second, you remove any terms not containing x from the side of the equation with the x-terms. You do that by adding their opposite to both sides of the equation.

We need to remove the -5d term, so we add 5d to both sides.

  x(a -3c) -5d +5d = 5 +5d

  x(a -3c) = 5 +5d . . . . . . . . . . simplify

Third, we divide by the coefficient of x. We do that to both sides of the equation. We had to put parentheses around the terms on the right, because we're dividing the whole right side of the equation by (a-3c).

  x(a -3c)/(a -3c) = (5 +5d)/(a -3c)

  x = (5 +5d)/(a -3c)

Answer:

  35 cm

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

We want to find h for the given volume and diameter. First, we must convert the given values to compatible units.

  1 L = 1000 cm³, so 99 L = 99,000 cm³

  60 cm diameter = 2 × 30 cm radius

So, we have ...

  99,000 cm³ = π(30 cm)²h

  99,000/(900π) cm = h ≈ 35.01 cm

The oil is 35 cm deep in the drum.

Answer:

14 days

Step-by-step explanation:

Answer:

Geometric

Step-by-step explanation:

That is a geometric sequence, because the each number divided into 3. As we know if the pattern are multiply or divided it will be geometric, if it is sum or subtract will be arithmetic.

hope this helps

if u have question let me know in comments

The given sequence is geometric. The common ratio of the geometric sequence is 1/3.

A geometric progression (G.P.) is a sort of sequence in which each successive term is obtained by multiplying the prior term by a set number known as a common ratio.

This progression is also known as a pattern-following geometric sequence of integers.

The given sequence in the problem is;

81, 27, 9, 3, 1, …

Due to the fact that each number is split into three, that sequence is geometric. The pattern will be geometric if it is multiplied or divided, and arithmetic if it is the result of addition or subtraction.

The common ratio of the sequence is found as;

[tex]\rm r = \frac{27}{81} =\frac{9}{27} =\frac{3}{9} =\frac{1}{3} =\frac{1}{3}[/tex]

The common ratio of successive terms is equal.

Hence, the given sequence is geometric.

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Answer:

f(x)=5cos(1/3x) this is an equation

━━━━━━━☆☆━━━━━━━

▹ Answer

6 phones

▹ Step-by-Step Explanation

$445 - $175 = $270

$270 ÷ $45 = 6

6 phones

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

correct option is C)  2.8

Step-by-step explanation:

given data

string vibrates form =  8 loops

in water loop formed =  10 loops

solution

we consider  mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = [tex]\rho[/tex]

case (1)  

when 8 loop form with 2 adjacent node is [tex]\frac{\lambda }{2}[/tex]

so here

[tex]l = \frac{8 \lambda _1}{2}[/tex]      ..............1

[tex]l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}[/tex]

and we know velocity is express as

velocity = frequency × wavelength   .....................2

[tex]\sqrt{\frac{Tension}{mass\ per\ unit \length }}[/tex]   =   f × [tex]\lambda_1[/tex]

here tension = mg

so

[tex]\sqrt{\frac{mg}{\mu}}[/tex]   =   f × [tex]\lambda_1[/tex]     ..........................3

and

case (2)  

when 8 loop form with 2 adjacent node is [tex]\frac{\lambda }{2}[/tex]

[tex]l = \frac{10 \lambda _1}{2}[/tex]      ..............4

[tex]l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}[/tex]

when block is immersed

equilibrium  eq will be

Tenion + force of buoyancy = mg

T + v × [tex]\rho[/tex] × g = mg

and

T = v × [tex]\rho[/tex] - v × [tex]\rho[/tex] × g    

from equation 2

f × [tex]\lambda_2[/tex] = f  × [tex]\frac{1}{5}[/tex]  

[tex]\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}[/tex]     .......................5

now we divide eq 5 by the eq 3

[tex]\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}[/tex]

solve irt we get

[tex]1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}[/tex]

so

relative density [tex]\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}[/tex]

relative density = 2.78 ≈ 2.8

so correct option is C)  2.8

In part (D), we found

[tex]2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)[/tex]

so the phase [tex]\phi[/tex] is [tex]\tan^{-1}\left(\frac52\right)\approx1.19\,\rm rad[/tex], which falls between 0 and [tex]\frac\pi2[/tex]. This means the weight is somewhere between the maximum positive position (where [tex]\phi[/tex] would be 0) and the equilibrium position (where [tex]\phi[/tex] would be [tex]\frac\pi2[/tex]), and would be traveling in the negative direction.

Answer:

3. 60° is the correct answer.

4. 8

Step-by-step explanation:

3. sum of all the sides of a quadrilateral is 360°

hence,

2h+2h+h+h=360°

6h=360°

h=360°/6

h=60°

4. Sum of interior angle of a polygon with n sides is 1080. N=8 (octagon)

Hope this helps you. Have a nice day.^_^

Answer:

3)60°

4)8 sides

Step-by-step explanation:

3) 2h+2h+h+h=360°

    6h=360°

    6h/6=360°/6

     h=60°

4)(n-2)180=1080°

  n-2=1080°/180

   n-2=6

    n=8

Answer:

2^11

Step-by-step explanation:

since the bases are the same, we can add the exponents

a^b * a^c = a^(b+c)

2^6 * 2^5

2^(6+5)

2^11

Answer:

Hey there!

The slope is -1/3, because the rise over run is -1/3.

Let me know if this helps :)

Answer:

$13,450

Step-by-step explanation:

The fixed cost of production is $13,450, this is because a fixed cost of production is the amount of cost that does not change with an increase or decrease in the amount of the goods or services produced. Fixed cost of production are paid by companies. It is one of the two component of the total cost of goods or services along with the variable cost.

In regard to the information given in the  question, no matter how many spinners the company produces, the fixed cost will remain the same.

Assuming x is the variable cost which signifies the number of spinners produced, this literally implies that the cost to produce each spinner is $1.28 and the fixed cost which is independent  of the production is $13,450.

Hence, the  fixed cost of production is $13,450.

Answer:

[tex]7w^{5}x^{2}[/tex]

Step-by-step explanation:

We can start by looking at each variable and and constant separately. In the first one, the constant part is 14 and in the second its 7. We can notice that the GCF of these two is 7. Next we have the part with w. The first one is w^5 while the second is w^6. We can notice that we can factor w^5 out of both, so it is the GCF. We can notice that only the first one has a y, so we can ignore it since it is not in common with both expressions. Lastly, we have x: the first has x^2 and the second has x^2 as well. They are the same, so the GCF would just be x^2.

Now, we can multiply the results together to get the GCF of the whole expressions:

7 * w^5 * x^2 = [tex]7w^{5}x^{2}[/tex]

Answer: -9/5

Step-by-step explanation: To find the slope, we must understand that the slope of a line is defined as the ratio rise/run.

The rise is the vertical direction of the line and the

run is the horizontal direction of the line.

So to start, I am going to pick 2 points on this line.

You want to find points where the line crosses the four corners.

In the diagram, those would be the points (-4, 5) and (1, -4).

Now, we can use slope formula.

Slope = y₂ - y₁ / x₂ - x₁

So we have -4 - 5/1 - -4 which simplifies to -9/5.

So the slope is -9/5.

Answer:

the answer is -9/5 100%

Step-by-step explanation:

Answer:

b) 9x² - 3x

Step-by-step explanation:

Area of a  rectangle = Length × Width

Area for the rectangle = 3x - 1 × 3x

Area = [tex](3x-1)(3x)[/tex]

Step 1. Multiply by combining like terms

3x · 3x = 9x²

Step 2. Multiply -1 by 3x

-1 · 3x = -3x

Step 3. Combine 9x² and -3x

9x² - 3x

----------------------------------------------------------

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and would mean a lot to me, thanks!

Answer:

The area of a triangle is always one half the base b times the height h.

SEE PICTURE BELOW;

If the base is represented by the expression 4x + 2 and the height is represented by 3x, which expression gives the area of the triangle?

Step-by-step explanation:

Edge 2021

Answer:

42.7 mm

Step-by-step explanation:

To the nearest tenth of a mm, 42.67 mm would be 42.7 mm.

After estimate of this value rounded to the nearest tenth of a millimeter,

⇒ 42.67 ≈ 42.7

We have to given that,

According to the United States Golf Association, the diameter of a golf ball should not be less than 42.67 millimeters.

Hence, After estimate of this value rounded to the nearest tenth of a millimeter, we get;

⇒ 42.67

As, 7 is grater than 5, so we can add 1 to the tenth place.

⇒ 42.67 ≈ 42.7

Therefore, After estimate of this value rounded to the nearest tenth of a millimeter,

⇒ 42.67 ≈ 42.7

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Answer:

(a) 2,162,160

(b) 3,003

Step-by-step explanation:

(a) order matters

You can choose from 14 for the first pick. Then you have 13 left for the second pick. Then you have 12 left for the third pick. Keep going until you have 9 left for the 6th pick. The number when order matters is:

total = 14 * 13 * 12 * 11 * 10 * 9 = 2,162,160

(b) Order does not matter

Start with the same number as above for picking 6 out of 14. Since order does not matter, we divide by the number of ways you can arrange 6 items.

Since there are 6! ways of arranging 6 items,

total = 2,162,160/6! = 3,003

The number of ways when the order matters are 121080960.

The number of ways when order does not matters are 3003.

Given,

Choose 6 colors, without replacement, from 14 distinct colors.

We have to find:

- How many ways can this be done, if the order of the choices matters.

- How many ways can this be done if the order of the choices does not matter.

We use permutation when the order of the arrangements matters.

It is given by:

[tex]^ nP_r[/tex] = n! / r!

We use combination when order does not matter.

It is given by:

[tex]^nC_{r}[/tex] = n! / r! (n-r)!

Find the number of ways when order matters.

We have,

n = 14 and r = 6

[tex]^{14}P_{6}[/tex]

= 14! / 6!

= (14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6!) / 6!

= 4 x 13 x 12 x 11 x 10 x 9 x 8 x 7

= 121080960

Find the number of ways when order does not matter.

We have,

n = 14 and r = 6

[tex]^{14}C_{6}[/tex]

= 14! / 6! 8!

= 14 x 13 x 12 x 11 x 10 x 9 / 6 x 5 x 4 x 3 x 2

= 7 x 13 x 11  x 3  

= 3003

Thus,

The number of ways when the order matters are 121080960.

The number of ways when order does not matters are 3003.

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Answer:

One - way ANOVA, the smaller the between treatment

The smaller the value of F statistic will give us significant evidence.

Step-by-step explanation:

ANOVA is a statistical technique designed to test mean of one or more quantitative populations.  In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA. It is a statistical technique designed to test mean of one or more quantitative populations. In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA.

One-way ANOVA, the smaller the between treatment

The smaller the value of F statistic will give us significant evidence.

It should be the statistical technique that are made for testing the mean for one or more than one quantitative population. In two-way ANOVA it should be equivalent to the block mean. Here the column block represent the square be the three-way ANOVA.

Therefore, One-way ANOVA, the smaller the between treatment

The smaller the value of F statistic will give us significant evidence.

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Answer:

Step-by-step explanation:

[tex] \frac{2}{5} + p = \frac{4}{5} + \frac{3}{5} p[/tex]

Multiply through by the LCM

The LCM for the equation is 5

That's

[tex]5 \times \frac{2}{5} + 5p = 5 \times \frac{4}{5} + \frac{3}{5}p \times 5[/tex]

We have

2 + 5p = 4 + 3p

Group like terms

5p - 3p = 4 - 2

2p = 2

Divide both sides by 2

We have the final answer as

Hope this helps you

Step-by-step explanation:

Let [tex]f(x) = 4[/tex] and [tex]g(x) = \frac{1}{x^2}[/tex]. The area A of the region bounded by the given lines is

[tex]\displaystyle A = \int [f(x) - g(x)]dx[/tex]

Note that [tex]g(x) = \frac{1}{x^2}[/tex] intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as

[tex]\displaystyle A = \int_{\frac{1}{2}}^{5}\left(4 - \dfrac{1}{x^2}\right)dx[/tex]

[tex]\:\:\:\:= \left(4x + \dfrac{1}{x}\right)_{\frac{1}{2}}^5[/tex]

[tex]\:\:\:\:= (20 + \frac{1}{5}) - (2 + 2) = \dfrac{81}{5} = 16\frac{1}{5}[/tex]

Answer:

B

Step-by-step explanation:

Recall that if two functions, f and g, are inverses, then by definition:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

Hence, the graph of f(g(x)) should be simply y = x.

Therefore, our answer is B, as both coordinates are equivalent for all three points.