A survey was conducted on the salaries of 30 randomly selected households in two different cities.

Un club de natacion tieun club de natacion tiene 24 miembros de los cuales 5 don hombres y los demas don mujeres . ¿Cual es la r

mart [117]

Answer:

The ratio of number of woman to the total number is 19 : 24.

Step-by-step explanation:

Total number of members in the club = 24

Number of men = 5

Number of women = 24 - 5 = 19

The ratio of number of women to the total number of members is

= $\frac{19}{24}$

7 0

2 years ago

Given the diagram below, which of the following statements is NOT true? The image is of two lines SQ and PR intersecting at poin

Nookie1986 [14]

Answer:

D

Step-by-step explanation:

4 0

3 years ago

Please help! ive been stuck on this for so long and i just keep getting frustrated can someone help walkme through this?

bagirrra123 [75]

For firework launched from height 100ft with initial velocity 150ft/sec, equation made is correct

(a) equation will be $h(t) = -16t^2+150t+100$

(b) Now we have to see when it will land. At land or ground level height h will be equal to 0. So simply plug 0 in h place in equation made in part (a)

$0 = -16t^2 + 150t + 100$

Now we have to solve this quadratic. We will use quadratic formula method to solve this equation.

$t = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$

a = -16, b = 150, c = 100.

Plugging these values in quadratic formula we get

$t = \frac{-150 \pm \sqrt{150^2-4(-16)(100)}}{2(-16)}$

$t = \frac{-150 \pm \sqrt{22500+6400}}{-32}$

$t = \frac{-150 \pm \sqrt{28900}}{-32}$

$t = \frac{-150+170}{-32} = \frac{20}{-32} = -0.625$

time cannot be negative so we will drop this answer

then $t = \frac{-150-170}{-32} = \frac{-320}{-32} = 10$

So 10 seconds is the answer for this

(c) To make table simply plug various value for t like t =0, 2, 4, 6, 8 till 10. Plug values in equation mad in part (a) and find h value for each t as shown

For t =0 seconds, $h = -16(0)^2+150(0)+100 = 100 feet$

For t =2 seconds, $h = -16(2)^2+150(2)+100 =336 feet$

For t =4 seconds, $h = -16(4)^2+150(4)+100 = 444 feet$

For t =6 seconds, $h = -16(6)^2+150(6)+100 = 424 feet$

For t =8 seconds, $h = -16(8)^2+150(8)+100 = 276 feet$

For t =10 seconds, $h = -16(10)^2+150(10)+100 = 0 feet$

(d) Axis of symmetry is given by formula

$x = \frac{-b}{2a}$

$t = \frac{-150}{2(-16)} =\frac{-150}{-32} = 4.6875$

t = 4.6875 is axis of symmetry line

(e) x-coordinate of vertex is again given by formula

$x = \frac{-b}{2a}$

so t = 4.6875

then to find y coordinate we will plug this value of t as 4.6875 in equation made in part (a)

For t =4.6875, $h = -16(4.6875)^2+150(4.6875)+100 = 451.563$

so vertex is at (4.6875, 451.563)

(f) As the firework is launched so in starting time is t=0, we cannot have time before t=0 (negative values) practically. Also we cannnot have firework going down into the ground so we cannot have h value negative physically.

6 0

3 years ago

Triangle△ABC is rotated -120 about point P to create △ABC

yawa3891 [41]

Where’s point P at though

4 0

3 years ago

Elena has 35 magazine subscriptions to sell. Each magazine subscription costs $8.50. Elena sold 17 magazine subscriptions on Fri

KengaRu [80]

Answer : The answer is $153.00 from selling magazine subscriptions on Saturday.

Explanation : We know that each magazine is equal to $8.50. At first she sold 17 of the 35 magazines. 17 x $8.50 = $144.50 from selling 17 magazines. Now we do 35-17 to get how many magazines are left. So there is 18 magazines left. We need to do the same thing we did before, 18 x $8.50 = $153.00. She got $153.00 from selling 18 magazines on Saturday.

7 0

2 years ago