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Leto [7]
3 years ago
8

A trebuchet launches a projectile from a hilltop 30 feet above ground level on a parabolic arc at a velocity of 40 feet per seco

nd. The equation h=−16t2+40t+30
models the projectile's h height at t seconds. How long will it take for the projectile to hit its target on the ground (to the nearest tenth of a second)?


2.8 seconds


3.1 seconds


3.5 seconds


3.9 seconds
Mathematics
1 answer:
LenKa [72]3 years ago
7 0
3.5 seconds!



hope this helps you out, and i’m sorry if i’m wrong!
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The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at
crimeas [40]

Answer:

D is a binomial random variable with p = 0.65, n = 15

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

65% of the customers have dogs:

This means that p = 0.65

15 customers:

This means that n = 15

What type of variable is D?

D is a binomial random variable with p = 0.65, n = 15

5 0
3 years ago
40 POINTS AND BRAINLIEST<br><br> Which function rule describes the pattern in the table?
worty [1.4K]

Answer:

y= -x-2

Step-by-step explanation:

y=ax+b

x= -2; y=0 => 0=-2a+b; b=2a

x= -1; y= -1 => -1=-a+b => b=a-1

2a=a-1=> a= -1; b= -2

=> y= -x-2

3 0
3 years ago
Read 2 more answers
Combine the like terms to create an equivalent expression: r+(-5r)
Rus_ich [418]

Answer:

-4r

Step-by-step explanation:

r + -5r

Factor out r

r( 1-5)

r(-4)

-4r

5 0
3 years ago
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
fomenos

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

7 0
3 years ago
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