original price of a cd is 12.50. what is the price with a discount of 39%

Answer:

rational

Step-by-step explanation:

it can be written as a fraction

In any artihmetic sequence, consecutive terms differ by a fixed constant c. So given the first term a, the second term is a + c, the third terms is a + 2c, and so on, up to the n-th term a + (n - 1)c.

If the 15th term is 40, then

40 = -12 + (15 - 1) c   ==>   c = 52/14 = 26/7

We can then write the n-th term as

-12 + (n - 1) 26/7 = (26n - 110)/7

The sum of the first 15 terms is then

[tex]\displaystyle \sum_{n=1}^{15}\frac{26n-110}7 = \frac{26}7\sum_{n=1}^{15}n - \frac{110}7\sum_{n=1}^{15}n = \boxed{210}[/tex]

Another way to compute the sum: let S denote the sum,

S = -12 - 58/7 - 32/7 + … + 228/7 + 254/7 + 40

Reverse the order of terms:

S* = 40 + 254/7 + 228/7 + … - 32/7 - 58/7 - 12

Notice that adding up terms in the same position gives the same result,

-12 + 40 = 28

-58/7 + 254/7 = 28

-32/7 + 228/7 = 28

so that

S + S* = 2S = 28 + 28 + 28 + … + 28 + 28 + 28

There are 15 terms in the sum, so

2S = 15×28   ==>   S = 15×28/2 = 210

Answer:

The bigger angle is 144 degrees and the smaller one is 36 degrees

Answer:

4(g + p).

Step-by-step explanation:

The sum of g and p is g + p.

Next we multiply this sum by 4.

We need to place the g + p in parentheses to do this.

Answer: [tex]48.5\ ft[/tex]

Step-by-step explanation:

Given

Area of the regular hexagon is [tex]169.74\ ft^2[/tex]

Length of the apothem is [tex]l=7\ ft[/tex]

Suppose the side of the hexagon is a

Hexagon can be divided into six equal triangles with same area

Area of a single triangle is

[tex]\Rightarrow A_1=\dfrac{1}{2}\times 7\times a\\\\\Rightarrow A_1=3.5a\ ft^2[/tex]

Area of hexagon will be equal to area of 6 equal area triangles

[tex]\Rightarrow 6A_1=169.74\\\Rightarrow 6\times 3.5a=169.74\\\Rightarrow a=8.08\ ft[/tex]

Perimeter of the hexagon is

[tex]\Rightarrow P=6a\\\Rightarrow P=6\times 8.08\\\Rightarrow P=48.49\approx 48.5\ ft[/tex]

Thus, the perimeter of the hexagon is [tex]48.5\ ft[/tex]

Answer:

C

Step-by-step explanation:

edge 2021

Answer:

84°

Step-by-step explanation:

angles in a quadrilateral add to 360°. 360-(114+76)=5x =170°. 170°/5 = 32°. x=32°

angles on a straight line add to 180°.

2x = 64°. 180-64=116°. y=116°.

y-x = 116-32 = 84°

Answer:

[tex]78[/tex]

Step-by-step explanation:

The inner angles of a quadrilateral all add up to 360. This means we can write the following

[tex]114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34[/tex]

Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.

Therefore we can write

[tex]2x + y = 180\\2(34) + y = 180\\y = 112[/tex]

Finally computing y - x

[tex]y - x = 112 - 34 = 78[/tex]

Answer:

228573

Step-by-step explanation:

a = 219 (first term)

an = 2018 (last term)

Sn->Sum of n terms

Sn=n/2(a + an)         [Where n is no. of terms] -> eq 1

To find number of terms,

an = a + (n-1)d     [d->Common Difference] -> eq 2

d= 226-219 = 7

=> d=7

Substituting in eq 2,

2018 = 219 + (n-1)(7)

1799 = (n-1)(7)

1799 = 7n-7

1799 = 7(n-1)

1799/7 = n-1

257 = n-1

n=258

Substituting values in eq 1,

Sn = 258/2(219+2018)

    = 129(2237)

    = 228573

Answer:

-5 and 2

-3 and 0

-2 and -1

...gives -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5,2), (-2,-1), (-3,0)

all pairs add up to -3

Answer:

45 boys

Step-by-step explanation:

55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys

Answer:

45 boys

Step-by-step explanation:

55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys

Answer:

-1/3 · Ix+4I + 5

or

y∠ - Ix+4I -15

            3

Step-by-step explanation:

hope this helped

Answer:

x = 40

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40

Answer:

x = 21.4

Step-by-step explanation:

We need to use the law of sins

sin 42       sin x

--------- = ----------

22              12

12 sin 42 = 22 sin x

12 sin 42 /22 = sin x

Taking the inverse sin of each side

sin^-1(12/22 sin 42) = sin^-1(sin x)

21.40637223 =x

To the nearest tenth

x = 21.4

Answer:

Answer = 0

Step-by-step explanation:

√2+√3 - √2-√3

  = 0

Hope this  answer helps you :)

Have a great day

Mark brainliest

graphed it with desmos (free as app and website).

the solutions are in the screenshot

(1, 3)

(3, 7)

Answer:

49

Step-by-step explanation:

the number is "ab" (2 digits).

ab - 10 = 3×(a+b)

a number is actually the sum of multiplying the digits with their associated powers of 10.

a×10 + b - 10 = 3a + 3b

7a - 2b = 10

b-1 = 2×a

b = 2a + 1

7a - 2×(2a+1) = 10

7a - 4a - 2 = 10

3a = 12

a = 4

b = 2×4 + 1 = 9

no, more than one triangle could be made with these measures

sss

Answer:

Step-by-step explanation:

Choice A is the only one that is applicable.

Answer:

A. F(x) has 1 relative minimum and maximum.

Step-by-step explanation:

[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]

As x and F(x) tend to positive and negative infinity:

[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]

❎So, B and C are excluded.

Roots of the polynomial:

[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]

❎, D is also excluded.

✔, A

hhhahahshhehrhhehrhrhrhrh

Answer:

The x-coordinate is –4

The y-coordinate is –1

The point is in the quadrant Third quarter ( 3 )

I hope I helped you^_^

Answer:

Observational study

Step-by-step explanation:

A type of study which does not involve giving the participants or subjects any sort of treatment or undergoing any test. The participants are simply observed or studied over a cwetina period of time on the basis of what the researcher intends to measure before coming up with a conclusion. In the scenario above, employees eating habits is studied without having to undergo any sort of treatment or test, they are only studied in terms of what they eat and other measures of interest.

does it give the answer choice or is it a blank space?

Answer:

a = 50°

b = 130°

c = 50°

d = 50°

e = 130°

f = 130°

g = 50°

Answered by GAUTHMATH

Answer:

g(x)=x+9

Step-by-step explanation:

When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x

therefore, g(x)=x+9

Answer:

g(x)=x-8

Step-by-step explanation:

-2+2 = 0, so g(x) = x

5-13 = -8

Answer:

33ft^3

Step-by-step explanation:

radius is half the diameter, half of 2=1 and 1^2=1

3(1)(11)=33

Answer: V = 33 ft³

Step-by-step explanation:

π = 3

r = (1/2)d = (1/2) (2) = 1 ft

h = 11 ft

Given Formula

V = π r² h

Substitute values into the formula

V = (3) (1)² (11)

Simplify exponents

V = (3) (1) (11)

Simplify by multiplication

V = 33 ft³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y=x

Step-by-step explanation:

so,

((x - -2)² + (y - 4)²) - ((x - 3)² + (y - -1)²) = 10

(x² + 4x + 4 + y² - 8y + 16) - (x² - 6x + 9 + y² + 2y + 1) = 10

x² + 4x + y² - 8y + 20 - x² + 6x - y² - 2y - 10 = 10

10x - 10y = 0

y = x

Answer:

G: 4x + 0.25 = 4.5x

Step-by-step explanation:

1. since Jazzie runs 4 mph add .5 to that to get Jocelyn's speed of 4.5 mph

2. Since Jazzie has a head start add .25 to 4x to get 4x + 0.25 = ?

3. put Jocelyn's speed in the question Mark to get 4x + 0.25 = 4.5x

Answer:

5ba^2 +ab^2 6a^2 + 2b

Step-by-step explanation:

ab(6a+b)-3a^2 (b-2)+2b(a^2 +1)

6ba^2 +ab^2 -3ba^2 +6a^2 + 2ba^2 +2b

6ba^2 -3ba^2 +2ba^2 +ab^2 +6a^2 +2b

5ba^2 +ab^2 6a^2 + 2b