Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.

Answer:

viii. 2x(1 - 2x)(1 + 2x)(1 + 4x²)

ix. 4xy

Step-by-step explanation:

viii. 2x - 32x⁵

= 2x(1 - 16x⁴)

= 2x(1² - (4x²)²)

= 2x(1 + 4x²)(1 - 4x²) ( a² - b² = (a + b)(a - b))

= 2x(1 + 4x²)(1² - (2x)²)

= 2x(1 + 4x²)(1 - 2x)(1 + 2x)

ix. (x+y)² - (x - y)²

= (x+ y + x - y)( x + y - x + y)

= 2x x 2y

= 4xy

Answer: 38

Step-by-step explanation: to evaluate an expression for these variables, plug in those numbers for the variables.

Plugging in -1 for y and -19 for z gets you this:

-2(-1)^2(-19)

Now simplify according to order of operations (PEMDAS - parenthesis exponents multiplication/division addition/subtraction)

-1^2 = 1

-2(1) = -2

-2(-19) = 38

Your answer is 38

Hello this is not question .

Answer:

either c or b that's what I think

Answer:

sin q = 14/50

cos q = 24/25

tan q = 7/24

sin r = 24/25

cos r = 7/25

tan r = 24/7

Step-by-step explanation:

The required trigonometric ratio are as follows;

[tex]SinR= \frac{24}{25}, CosR = \frac{7}{25}, TanR = \frac{24}{7} \\\\SinQ = \frac{7}{25}, CosQ = \frac{24}{25}, TanQ = \frac{7}{24}[/tex]

WE have to determine the trigonometric function in simplest form.

In order to find trigonometric ratio, In right angle triangle QRP.

Length of PR = 14

Length of QR = 50

To find length of PQ using Pythagoras theorem.

[tex](H)^{2} = (P)^{2} + (B)^{2}\\\\(50)^{2} = (14)^{2} + (B)^{2} \\\\B^{2} = 2500 - 196\\\\B^{2} = 2304\\\\B = 48[/tex]

Length of PQ is 48.

Therefore,

Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse)

Then,

[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{14}{50}\\\\SinQ = \frac{7}{25}[/tex]

The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{48}{50} \\\\CosQ = \frac{24}{25}[/tex]

The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{14}{48} \\\\TanQ = \frac{7}{24}[/tex]

And In right angle triangle RPQ,

Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{48}{50}\\\\SinQ = \frac{24}{25}[/tex]

The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{14}{50} \\\\CosQ = \frac{7}{25}[/tex]

The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{48}{14} \\\\TanQ = \frac{24}{7}[/tex]

To know more about Trigonometric function click the link given below.

https://brainly.com/question/20367642

Answer:

-3(3y-1)

Step-by-step explanation:

−9y−3

Factor out 3.

3(−3y−1)

Rearrange Terms.

-3(3y-1)

Answer:

Number of carrot pieces in bowl = 20

Step-by-step explanation:

Given:

Total number of vegetable pieces = 80

Percent of carrot = 25%

Find:

Number of carrot pieces in bowl

Computation:

Number of carrot pieces in bowl = Total number of vegetable pieces x Percent of carrot

Number of carrot pieces in bowl = 80 x 25%

Number of carrot pieces in bowl = 80 x 0.25

Number of carrot pieces in bowl = 20

Answer:

20

Step-by-step explanation:

I took it on Edge

Answer:

Angle 6

Step-by-step explanation:

The opposite exterior angle to angle 3 is angle 6.

For another example, the opposite exterior to angle 1 is angle 8.

If you were to cut them out and put them over each other, they're congruent. Hope that helped you out :)

Answer:

<3=<6 forms a pair of alternate

exterior angles with angle 3.

Answer:

176

Step-by-step explanation:

First term (a) = 29

Common difference (d) = 32 - 29 = 3

For calculating the 50th term , n = 50

Now

[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]

hope it will help :)

Answer:

y=-x/2

Step-by-step explanation:

m=(4-1)/(-8-(-2))

m=3/-6

m=-1/2

b=y-mx

b=1-(-1/2*(-2))

b=1-1

b=0

y=-x/2

Answer:

D.756

Step-by-step explanation:

thanks me later

pa follow po thankyou

Answer:

0.5m 7m 8m cannot be the lengths of the sides of a triangle.

Answer:

up , up , up , upitdy.

ngl im not sure bro but somehow i got 16 4x4=16

Step-by-step explanation:

Answer:

B) 8 play both

C)32 play only basketball

D) 50 play only football

E) 110 play none

The Venn Diagram is a method of representing stets in a logical manner. The number of students who don't play any of the sports is 110.

The Venn Diagram is a method of representing stets in a logical manner.

Given that there are 200 male students at the school. Also, Of these, 58 play football, 40 play basketball, and 8 play both.  

A.) The venn diagram can be drawn as shown below.

B.) The number of students who play both sports is 8.

C.) The number of students who play basketball but not football, are the student in the blue circle. Therefore, the number of students is 32.

D.) The number of students who play football but not basketball, are the student in the red circle. Therefore, the number of students is 50.

E.) The number of students who don't play any of the sports,

= Total student - Basketball playing student - Football playing student

- both sports playing student

= 200 - 50 - 32 - 8

= 110

The number of students who don't play any of the sports is 110.

Learn more about Venn Diagram:

https://brainly.com/question/1605100

#SPJ3

Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them

Step-by-step explanation:

Answer:

x = 2/3

Step-by-step explanation:

Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:

[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]

Answer:

12.5% chance

Step-by-step explanation:

First a spinner has a 25% chance of landing on a one, then a tails is a 50% chance, subtract devide 25 by two and you get 12.5.

Answer:

x=5

Step-by-step explanation:

add 5 to both sides

-20+5 = -3x

-15=-3x   (divide)

x=5

Answer:

Either B or C but i'll have to say B if I had to choose.

Step-by-step explanation:

[tex] {0.9}^{0} = 1[/tex]

[tex] {0.9}^{1} = 0.9[/tex]

[tex]0.9 ^{2} = 0.81[/tex]

[tex] {0.9}^{3} = 0.729[/tex]

[tex] {0.9}^{4} = 0.6561[/tex]

[tex] {0.9}^{5 } = 0.59049[/tex]

As we can tell it decreases slowly.

Answer:

50

Step-by-step explanation:

a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees

Answer:

5/2 x -3

Step-by-step explanation:

Answer: D. took quiz :)

Step-by-step explanation:

Answer: d. the probability of a time from 75 seconds to 250 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let's find x:-

(15x-2)° = (9x+10)°

15x-2 = 9x+10

6x = 12

x = 2°

Now, let's find y:-

28 + y° = 180°

y = 180-28

y = 150°

______________________

Hope this helps you!

Have a great day!

Answer:

(x,y) ==> (x+2, y-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154°  ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = 26°

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

For a prism we take into account the following:

Taking into account the above, we first find the lateral area:

In the triangular base, the height divided into 2 small right triangles of Hypotenuse = 5 and Height = 3. By Pythagoras we have this:

9 + base² = 25

base² = 25 - 9

base² = 16

base = 4

From this we obtain that the bases of the small right triangles measure 4 therefore the triangular base is isosceles where we have:

The perimeter of the triangular base will be the sum of the sides, that is:

Perimeter = 5 + 5 + 8

⇒ Perimeter = 18

Since the perimeter of the base of the prism is 18 and the height is 20, we replace in the equation for the lateral area:

Side area = (18) (20)

⇒ Lateral Area = 360 m²

Now we find the area of ​​the triangular base with base = 8 and height = 3:

[tex]\bold{Area=\dfrac{(base) (height)}{2} }\\\\\\Area=\dfrac{(8)(3)}{2} \\\\\\Area=\dfrac{24}{2}\\\\\\\boxed{\bold{Area=12}}[/tex]

Since we have that the lateral area is 360m² and the area of ​​the triangular base is 12m², we replace in the equation of the total area:

Total area = 360 + 2 (12)

Total area = 360 + 24

Total area = 384 m²

The total area of ​​the prism will measure 384m²