A pianist plans to play 7 pieces at a recital. In how many ways can she arrange these pieces in the program?

Answer:

A=1.75

Step-by-step explanation:

[tex]10a + 6a = 21 + 7 \\ 16a = 28 \\ divide \: both \: sides \: by \: 16 \\ a = 1.75 \: or 1 \ \frac{3}{4} [/tex]

Answer:

a = 7/4

Step-by-step explanation:

10a -7 = 21 - 6а​

Add 6a to each side

10a+6a -7 = 21 - 6а+6a

16a -7 = 21

Add 7 to each side

16a+7-7=21+7

16a = 28

Divide each side by 16

16a/16 = 28/16

a = 7/4

Answer:

440

Step-by-step explanation:

Answers: line DB

H

D

Answer:

Only 19 books

Step-by-step explanation:

1m=100cm

1 book attains 5.2cm

x books attain 100cm

Do cross multiplication and then u will get answer as 19.23

books can't be in decimals

So answer is 19 books

Answer:

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 6 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (1, 5) into the partial equation

5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = 5 + [tex]\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex] ← equation of perpendicular line

Answer:

False.

Step-by-step explanation:

Recall that the volume of a right cylinder is given by the formula:

[tex]V=\pi r^2h[/tex]

And the volume if a oblique cylinder is likewise also given by the formula:

[tex]V=\pi r^2h[/tex]

From the formulas, therefore, if the heights are equivalent, then the radii must also be equivalent for the two cylinders to have the same volume.

Answer:

3. it should be positive 3.5

4. (-2,4); (4,2); (6,-9)

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Answer:

a)  The arithmetic sequence with common difference 2 that has 8 as the first term.

b) The arithmetic sequence of common difference -5 and first term 15.

Step-by-step explanation:

Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:

8, and (8+2) = 10 Therefore the second term is 10.

Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:

15, and  (15 - 5)  = 10. Therefore again a 10 as second term.

Answer:

[tex]CD = 3[/tex]

Step-by-step explanation:

Given

[tex]CD = x[/tex]

[tex]BC = 5x - 5[/tex]

[tex]BD = 2x + 7[/tex]

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

[tex]BD = BC + CD[/tex]

Substitute the values of BD, BC and CD

[tex]2x + 7 = 5x - 5 + x[/tex]

Collect Like Terms

[tex]2x - 5x - x = -5 - 7[/tex]

[tex]-4x = -12[/tex]

Divide both sides by -4

[tex]\frac{-4x}{-4} = \frac{-12}{-4}[/tex]

[tex]x = 3[/tex]

To determine the length of CD;

Substitute 3 for x in [tex]CD = x[/tex]

Hence;

[tex]CD = 3[/tex]

Answer:

Step-by-step explanation:

If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.

THe net force will the sum total of both forces acting on the desk.

Net force F = F1+F2

Given F1 = +150N and F2 = -50N

Net force F = +150N+(-50N)

Net force F = +150N-50N

Net force F = +100N

Hence the net force on the desk is 100N

Answer:

0.200

Step-by-step explanation:

∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5

∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5

This is a geometric series.  The sum of the first n terms of a geometric series is:

S = a₁ (1 − rⁿ) / (1 − r)

where a₁ is the first term and r is the common ratio.

Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40.  For simplicity, let's write both a₁ and r in terms of r.  So a₁ = r and r = r.

5 = r (1 − r⁴⁰) / (1 − r)

5 (1 − r) = r (1 − r⁴⁰)

5 − 5r = r − r⁴¹

r⁴¹ − 6r + 5 = 0

Solving with a calculator, r ≈ 0.8334.

Therefore:

(1 + i)⁻¹ = 0.8334

1 + i = 1.200

i = 0.200

Answer:

[tex]\Large \boxed{12.9}[/tex]

Step-by-step explanation:

BC = B’C’

BC = 2

The perimeter of a triangle is the sum of all its sides.

[tex]\sf \Rightarrow 5.1+5.8+2 \\\\\\ \Rightarrow 12.9[/tex]

The perimeter of the triangle is 12.9.

Answer:

12.9 is the perimeter

Step-by-step explanation:

BC is 2 since B’C’ is equal to BC.

Add all sides to get perimeter.

5.1+5.8+2=12.9

You’re welcome.

- bananamilkshake43

Answer:

a)73

b)27

c)58

d)70

Answer:

A. 280degree

B. 137degree

Answer: 5 21/50

Step-by-step explanation: 5.42 = 271/50 = 521/50 as a fraction

Answer:[tex]a_0=25[/tex]

Step-by-step explanation:

It is given that, [tex](5x)^2=a_0x^2[/tex]

We need to find the value of [tex]a_0[/tex]

As [tex](5x)^2=a_0x^2[/tex]

Solving LHS

[tex]25x^2=a_0x^2[/tex]

Now comparing the coefficients of [tex]x^2[/tex]

In LHS the coefficient of [tex]x^2[/tex] is 25

In RHS the coefficient of [tex]x^2[/tex] is [tex]a_0[/tex]

It implies that, [tex]a_0=25[/tex]

So, the value of [tex]a_0[/tex] is 25.

Answer:

A) In y = - [ x-In (x+1) ] + c

B) [tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]

Step-by-step explanation:

A) tydt + ( t + 1 ) dy = 0

dy/y = - ( [tex]\frac{tdt}{t+1}[/tex] )  we have to integrate both sides of the equation

In y = - [ x- In (x +1) ] + c

B) y dy/dt  + t = 1

we can express the equation as :

y dy = ( 1 - t ) dt

when we integrate the equation we have

[tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]

Answer:

1/2, 3/6, 7/14

Step-by-step explanation:

Each are 1/2 :)

The 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.

Equivalent fractions are those fractions that are made up of different numerator and denominator but are equal to the same value.

To find the equivalent fractions of 4/8, multiply the numerator and denominator by the same number.

That is , 4/8 ×2 = 8/16

4/8 × 3 = 12/24

4/8 × 4 = 16/32

Therefore, the 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.

Learn more about equivalent fractions here:

https://brainly.com/question/17220365

Answer:

Step-by-step explanation:

-4x + 1 = -4x + 1

1 = 1

infinitely many solutions

Answer: 10y + 1

Step-by-step explanation:

The perimeter is the total distance round the figure.

Now, in this case it is going to be

Perimeter = 3y + 5 + 6y + y - 4

= 3y + 6y + y + 5 - 4

= 10y + 1

The perimeter of the given triangle is 10y + 1 units.

A triangle is formed by 3 non co-linear points it has three sides and three vertices.

A triangle is also a polygon with three sides.The sum of all the interior angles of a triangle is 180°.

In the given question

Equations of all the sides of the lengths of the triangle is given.

We know that the perimeter of a triangle is the sum of the lengths of all the sides.

∴ Perimeter of the given triangle

= (3y + 5) + (y - 4) + 6y

= 10y + 1 units.

Learn more about Triangles here :

https://brainly.com/question/2773823

#SPJ2

Answer:

True because there would be more understanding

Step-by-step explanation:

Answer:

                     FALSE

Step-by-step explanation:

                                        Drawing map takes  a while but verbal directions are quite simple and easy to understand

Hope it helps!

Answer:

1455

Step-by-step explanation:

0.03% x 1500 = 45

therefore, 45 students were late

1500 - 45 = 1455 punctual

Answer:

2/3

Step-by-step explanation:

3/3 = 1 whole

3/3 - 1/3 = 2/3

Step-by-step explanation:

[tex]$ T(n) = T(\frac{n}{4})+T(\frac{3n}{4})+2n \ \ \; \ n > 10 $[/tex]

[tex]$ T(n) = 0; \ \ n<0 $[/tex]

Therefore,

[tex]$ T(n)= T(\frac{n}{4})+T(\frac{3n}{4})+2n $[/tex]

[tex]$ T(\frac{n}{4})= T(\frac{n}{16})+T(\frac{3n}{16})+(\frac{2n}{4}) \ \ ...(i)$[/tex]

[tex]$ T(\frac{3n}{4})= T(\frac{3n}{16})+T(\frac{9n}{16})+(\frac{6n}{4}) \ \ ...(ii)$[/tex]

[tex]$ \Rightarrow \frac{n+3n+3n+9n}{16} = \frac{16n}{16}$[/tex]

                                = n

[tex]$ \therefore n+n+n+.... = n \cdot \log_{\frac{4}{3}}n$[/tex]

[tex]$ \therefore T(n) = n \cdot \log_{\frac{4}{3}}n$[/tex]

Answer:

Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

All the numbers above will round to 12 + 3 + 5 + 6. There are other answers too

Answer:

it would be Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

z - 2/3 = (2/3)z

Step-by-step explanation:

a · b = (4)(3) + (5)(6)

a · b = 12 + 30

a · b = 42

Answer:

42

Step-by-step explanation:

a*b = 4*3 + 5*6 = 12 + 30 ( where i*i = j*j = 1)

∴ a*b = 42

Answer:

In polar coordinates, we represent the points as:

P = (R, θ)

Where R is the radius and θ is the angle (depending on how you want to work, you can use θ in degrees or radians).

Then in this case we know that we are working with the unit circle, whose radius is R = 1.

And the angle is pi/5.

Then our point will be:

P = (1, pi/5).

Now we also could write it in rectangular coordinates, knowing that for a point (R, θ) we have:

x = R*cos(θ)

Y = R*sin(θ)

Then for our point the rectangular coordinates are:

x = 1*cos(pi/5) = 0.81

y = 1*sin(pi/5) = 0.59

Then the point is (0.81, 0.59)

Answer:

Step-by-step explanation:

First of all multiply through by 3

That's

We have

Divide both sides by h to make b stand alone

That's

We have the final answer as

Hope this helps you