Polly surveyed 850 teenagers to find out their type of music. She found that 32% of the teenagers surveyed like hard rock.

Part A:How many teenagers that surveyed like hard rock?(show your work)

Part B:In another survey, Damian found that 75% of the total number of teenagers like pop music if 150 teenagers like pop music what is the total number of teenagers that damian surveyed (show your work)

Part C:Give an example of sitiuation in which a percentage is greater than 100%(show you work)

Whoever anwsers EACH part and shows explanation will be marker the BRAINLIEST

(a) The distance of P from O when it is instantaneously at rest is 40 metres. (b) The values of t are 5 and 1 second. (c) The average velocity = 2/2 = 1 m/s. (d) The total distance travelled in the first 6 seconds is -234 meters.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

a) To find the distance of P from O when it is instantaneously at rest, we need to find the value of s when t = 0.

s = t³ - 9t² + 15t + 40

s = 0 - 9(0)² + 15(0) + 40

s = 40

So the distance of P from O when it is instantaneously at rest is 40 metres.

b) To find the values of t when the acceleration has a magnitude of 9 ms, we need to find the roots of equation 3t² - 18t + 15 = 0.

We can solve this equation by factoring or using the quadratic formula.

3t² - 18t + 15 = 0

(t-5)(t-1) = 0

t = 5, 1

So the values of t are 5 and 1 seconds.

c) To find the average velocity of P during the first 2 seconds, we can use the formula for average velocity:

average velocity = (distance travelled)/(time taken)

We can find the distance travelled by finding the value of s at t = 2 and t = 0 and subtracting them.

s = t³ - 9t² + 15t + 40

s(2) = 8 - 36 + 30 + 40 = 42

s(0) = 0 - 9(0)² + 15(0) + 40 = 40

distance = 42 - 40 = 2 metres

time = 2 - 0 = 2 seconds

average velocity = 2/2 = 1 m/s

d) To find the total distance travelled in the first 6 seconds, we can find the value of s at t = 6 and t = 0 and subtract them.

s = t³ - 9t² + 15t + 40

s(6) = 216 - 540 + 90 + 40 = -194

s(0) = 0 - 9(0)^2 + 15(0) + 40 = 40

distance = -194 - 40 = -234 metres

So the total distance travelled in the first 6 seconds is -234 meters.

Note that distance travelled is negative, which means that the particle is moving in the opposite direction of O.

Learn more about Velocity here:

https://brainly.com/question/12904979

#SPJ2

Answer:

k=1/4

Step-by-step explanation:

x² - 5kx+ k=0  ....(1)

suppose 2 roots: a and 4a

(x-a)(x-4a)=0

x² - 5ax + 4a² = 0 ....(2)

compare (1) and (2): -5a = -5k              a=k

4a² = k                4a² = a   (substitute)

a(4a-1) = 0

a = 0 or a = 1/4        (if a=0   k=0 and x=0 is not the solution)

a = 1/4      k = 1/4

(a₂ = 1/4 * 4 = 1)

Answer:

k = 1/4.

Step-by-step explanation:

Let the roots be  r and 4r   and using the fact that sum of the roots = -b/a and product = a/c, we have:

r + 4r = -(-5k)

r*4r = k

5r = 5k

4r^2 = k

From the 3rd equation:

r = k, therefore:

4k^2 = k

4k = 1

k = 1/4.

Answer:

down below

Step-by-step explanation:

[tex]C=2\pi r\\C=2*3.14*8\\C=50.27[/tex]

[tex]A=\pi r^2\\A=3.14*(8)^2\\A=201.06[/tex]

Answer:

3. Circumference= 50.27

4. Area= 201.06

*You must put the pi sign and not 3.14 to get you actual answer.

Step-by-step explanation:

3. The answer is 50.27 because the formula for circumference is 2 times pi times radius, so you do 2 x pi x 8 which equals 50.265 but after you round you get 50.27.

4. The answer is 201.06 because the formula for area with a radius is pi times radius squared, so you do pi x 8^2 which equals 201.061 but after you round you get 201.06.

Answer:

No

Step-by-step explanation:

Six times negative three is negative eighteen and that plus four is negative 14

Answer:

3696 feet

Step-by-step explanation:

Answer: 1.4 miles

Step-by-step explanation:

If you sketch this out it makes a triangle and you have to find the missing side.

the formula is a^2 + b^2 = c^2

a^2 + 1^2 = 1.7^2

a^2 + 1 = 2.89

       - 1     - 1

a^2 = 1.89

sqrt    sqrt(1.89)

a = 1.37477

(sorry for bad drawing lol)

Answer:

x= 10, x=1

Step-by-step explanation:

(x-1)(x-10)=0

then solve for x

Answer:

61.8 square centimeters

Step-by-step explanation:

Answer:

I dont get it, what is this?

Step-by-step explanation:

Answer:

D) The ratification of a constitutional amendment establishing term limits for presidents.

Step-by-step explanation:

If a president were to exceed his limits of power over the people, he would consider them as slaves, and him the king.

Answer:

D

Step-by-step explanation:

Answer:6 1/4

Step-by-step explanation:

Answer:

7*450*.5%

Step-by-step explanation:

Answer:

Blue square

Step-by-step explanation:

looking like rhombus because right angle is 90 degrees and a square has 4 right angles

Answer:

3 x (4+2) =p

Step-by-step explanation:

Which equation can be used to find p, the total number of pens?

3 x (4+2) =p

3 X 4 X 2 =p

3+ (4 x 2) =P

3 +4+2 =p

total pens bought = number of pages bought x ( number of blue pens bought + number of black pens bought)

3 x (4+2) =p

Answer:

110°

Step-by-step explanation:

Answer:

110 degrees

Step-by-step explanation:

Answer:

(x,y)=(4,6)

Step-by-step explanation:

3x+4y=36

y=-1/2 x+8

step 1: substitute the value of y

[tex]3x+4(-\frac{1}{2}x+8)=36[/tex]

step 2: solve equation for x

[tex]3x+4(-\frac{1}{2}x+8)=36[/tex]

3x-2x+32=36

x+32=36

x=36-32

x=4

step 3: substitute the value of x

[tex]y=-\frac{1}{2} (4)+8[/tex]

Step 4: solve equation for y

[tex]y=-\frac{1}{2} (4)+8[/tex]

y=-2+8

y=6

there for the answer is

(x,y)=(4,6)

Answer:

The starting height of the raiders is 39 meters.

Step-by-step explanation:

Physically speaking, a free fall motion is an uniformly accelerated motion due to gravity. Mathematically, speaking the equation of motion for the height of an object under free fall is a second order polynomial (quadratic function).

Let [tex]h(t) = -9.8\cdot t^{2}-5\cdot t + 39[/tex] be the height of the riders, in meters, the starting height is the height evaluated at [tex]t = 0\,s.[/tex] Hence, we proceed to the determined the required data by direct evaluation:

[tex]h(0) = -9.8\cdot (0)^{2}-5\cdot (0) +39[/tex]

[tex]h(0) = 39[/tex]

The starting height of the raiders is 39 meters above the ground.

Answer:

C because not all rhombuses are squares

Answer:

ok.

plz mark me as brainliest.

Answer:

okay thank you for your kindness

please mart as brainliest

Answer:

70

Step-by-step explanation:

just trust me i had this question and i had a 100

Answer:

1. 17

2.-62

3.1000

4.74

5.37

Answer:

that's correct... 8√3 is the correct answer

Step-by-step explanation:

sin 30°=1/2

1/2=4√3/x

simplify and you're done ☺

Answer:

C = 8squareroot3

Step-by-step explanation:

x = 4squareroot3 * 2

Answer:

x= 170°

I hope it's helps you

Answer:

2. X^2-7x+3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

Given that,

The area of an isosceles triangle, A = 192 cm²

The ratio of base and height is 3:2.

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Let base = 3x and height = 2x

So,

[tex]192=\dfrac{1}{2}\times 3x\times 2x\\\\3x^2=192\\\\x^2=64\\\\x=8[/tex]

Base = 3x = 3(8) = 24 cm

Height = 2x = 2(8) = 16 cm

Let equal sides be 16 cm and base be 24

So,

Perimeter = sum of all sides

= 16+16+24

= 56 cm

Hence, this is the required solution.

Answer:

0.1

Step-by-step explanation:

Logic

Answer:

Marketing helps producers to decide what products to produce and when to produce them. Marketing also helps consumers by letting them know what products are available at what price. When done well, it leads to greater satisfaction for consumers and higher profits for producers.

Step-by-step explanation:

hope this helps!

Answer : 2..A perfect square is an integer which is the square of another integer n , that is, n2 . (Since a negative times a negative is positive, a perfect square is always positive.

...