Which set of number includes only intergers

Answer:

A. $2.89(m)=$40

B. 13 songs

Step-by-step explanation:

$2.89(m)=$40

m=$40/$2.89

m=13.84

She can download a maximum of 13 songs

Check:

$2.89 (13 songs)=$37.57

$40-$37.57=$2.43 left on her gift card

m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43

Answer:

13 songs

Step-by-step explanation:

40 divided by 2.89 is 13.84. DO NOT ROUND TO 14

So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs

Answer:

a) dA/dt = 125,42 mm/min

b) dh/dt = - 1,78 mm/min

Step-by-step explanation:

The volume of the cylinder is:

V(c) = π*r²*h         ( r and h radius of the base and heigh respectively )

Then the surface area is: Area of the base : π*r²

Plus lateral area :  h*2*π*r

A(c) =  π*r² + 2*π*r*h

With the help of differentials we obtain:

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt        (1)

In this equation and at time t we know:

r = 18 mm        dr/dt = 2 mm/min      h = 8 mm    dh/dt = ??  

dA/dt = increasing rate of the surface area ( with respect to time)

To find dh/dt we know:

V(c) is constant, then

V(c) = π*r²*h     then   h = V(c) / π*r²

dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴

By subtitution of V(c)

dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴

dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴

dh/dt = - [2*h* dr/dt ] / r

dh/dt =  -  2*8*2 / 18    mm/min

dh/dt = - 1,78 mm/min

By subtitution in equation (1)

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt

dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )

dA/dt = 226,20 + 100,53 - 201,31

dA/dt = 125,42 mm/min

Following are solutions to the given points:

Formula:

Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]

[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]

Part A:  

Calculating the circular area of the surface:

[tex]\to A=\pi r^2\\\\[/tex]

So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]

Therefore

[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]

Part B:

[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]

Learn more:

brainly.com/question/19667963

Answer:

1.56

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

20-13.75 = 6.25

6.25 / 5 = 1.25

Answer:

2.325

Step-by-step explanation:

i used a calculator ,i think i did it right lol

Answer:

5

Step-by-step explanation:

cuz 12 +16 is 28, 140÷28 is 5

Answer:

16h + 12 = 140

Step-by-step explanation:

She can ride the bike for 8 hours.

Answer:

(3,1)

Step-by-step explanation:

Answer:

-3 times -3 that is -4 exponent two in expanded form

Step-by-step explanation:

-3²

= -3 • -3

eg. Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.

Answer:

Step-by-step explanation:

Required equation:

Answer:

The answer for the length of the rectangle in terms of x is 2x+1=26

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It isn't linear

Answer:

D)

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you

I'm putting here a picture of the working out

Answer:

Step-by-step explanation:

This is the general method for doing this problem. First factor these numbers into primes.

72: 2 * 2 * 2 * 3 * 3

84: 2*2 * 3 * 7

Now each number has at least two 2s

Each number has at least one          3

The highest common factor is 2 * 2 * 3 = 12

Answer:

16

Step-by-step explanation:

the sides may not seem to help but it dose go to the other side and try to meser it it would be 4. add 8+4+4 or 8+8=16

Answer:

18.6cm (rounded to 3 s.f.)  

Step-by-step explanation:

You can actually figure out the two bases of the triangles based on the Pythagoras theorem where the slant length of a 90° triangle is [tex]\sqrt{a^{2} + b^{2} }[/tex] where a is one of the bases and b is the other length that is 90° perpendicular to a.

So this means:

[tex]\sqrt{6^{2} + base^{2} }[/tex] = 8cm

6² + base² = 64cm

36 + base² = 64

base² = 64-36

          = 28

base = [tex]\sqrt{28}[/tex]

        ≈ 5.2915 (5 s.f.)

So the two bases are roughly 5.2915, and the middle base is part of a rectangle, so it has the same length as the rectangle's length, which is 8cm.

Thus, x = 5.2915 + 5.2915 + 8

            = 18.6cm (rounded to 3 s.f.)  

Answer: $7416

Step-by-step explanation:

You look up 3% of $7200 ($216) and add that to the original price to get $7416 :)

Answer:

9?

Step-by-step explanation:

Answer:

sorry dont understaand

Step-by-step explanation:

According to the graph, the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

A circle graph also known as pie chart has a shape of a circle and each section are represented in percentages or degrees

From the question, we have:

The above means that the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

Read more about circle graphs at:

https://brainly.com/question/24461724

Answer:

10%

Step-by-step explanation:

Answer:

(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)

Step-by-step explanation:

Answer:

The ans would be 291 (however we can round this off to 290 as no can partially vote as 0.1)

Step-by-step explanation:

We can easily find the loser's vote by-

70% of 969= 678.9

now, all we need to do is find the winners vote

we know that the total no. of votes= 969 & we know the no. of votes loser got

so, subtracting the losers vote from 969 would give us the remaining no. of votes (the winner's votes)....so,

969-678.9=290.1

we can round this off to 290

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

Answer:

1.450

Step-by-step explanation:

what grade ar4e you in I'm guessing 4th or 5th

Answer:

y =  0.7(x^2 - 64x - 576)

Average rate of change = -49.

Step-by-step explanation:

As the x intercepts are -8 and 72 we can write the equation

y = a(x + 8)(x - 72)     where a is some constant to be found.

As it passes through point  (62, -490) we have, substituting:

-490 = a(62+8)(62-72)

-490 =  - 700a

a = 0.7

So the equation of the parabola

y = 0.7(x + 8)(x - 72) or

y =  0.7(x^2 - 64x - 576).

Average rate of change between x = -8 and x = 2

=  [0.7(2+ 8)(2 - 72) -  0.7(-8+8)(-8-72)] / (2 - -8)

= -490 - 0 /10

= -49

Answer:

The answer is B, or the second one.

90 Adult tickets and 18 Children's tickets

Step-by-step explanation:

(90 x 15) + (18 x 9)

Answer:

the answer is 1.25 or 5/4

Answer:

Actual kitchen area equals 108 feet

Step-by-step explanation:

room turns into 12 ft. by 9 ft.

to find area: 12 x 9

Actual kitchen area equals 108 feet

Answer:

go to sleep its 11:23 also u will get

$65 dollars pls mark me brainleist

Step-by-step explanation:

9514 1404 393

Explanation:

1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.

If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)

__

2. The general form of the equation of a circle is ...

  Ax² +Ay² +Dx +Ey +F = 0

Any equation of a circle can be put in this form. If we divide by A, this can be written as ...

  x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A

and the equation can be further transformed to the standard form ...

  (x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c

The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.

__

3. Again refer to the attached diagram.

a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.

b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.

c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.

d) A secant is a line containing two points of the circle. Lines CG and CE are secants.

e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.

f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).

Answer:

the awnser is 4g because if you multiply the -4 by 6 and 5 g you get the equation: -24+-20g.. subtract -24 from -20 you will get 4g