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3 years ago

Can you please help me fast!!!!!!!

Mathematics

1 answer:

son4ous [18]3 years ago

7 0

Answer:

The slope of the graph is $\frac{3}{1}$ or 3.

Step-by-step explanation:

Choose two points on the graph:

(0, 1) and (1, 4)

Let x1 = 0

x2 = 1

y1 = 1

y2 = 4

We can use the slope formula:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{4 - 1}{1 - 0} = \frac{3}{1} = 3$

Therefore, the slope of the graph is $\frac{3}{1}$ or 3.

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A person is standing close to the edge on a 56 foot building and throws the ball vertically upward. The quadratic function h(t)=

Romashka [77]

Answer:

Part 1)

225 feet.

Part 2)

7 seconds.

Step-by-step explanation:

The height h(t) of the ball above the ground after t seconds is modeled by the function:

$h(t)=-16t^2+104t+56$

Part 1)

We want to determine the maximum height of the ball.

Notice that the function is a quadratic with a negative leading coefficient, so its maximum will be at its vertex point.

The vertex of a parabola is given by:

$\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

In this case, a = -16, b = 104, and c = 56.

Find the x- (or rather t-) coordinate of the vertex. So:

$\displaystyle t=-\frac{(104)}{2(-16)}=\frac{104}{32}=\frac{13}{4}=3.25\text{ seconds}$

In other words, the ball reaches its maximum height after 3.25 seconds.

To find the maximum height, substitute this value back into the function. Hence:

$\displaystyle h(3.25)=-16(3.25)^2+104(3.25)+56=225\text{ feet}$

The maximum height of the ball is 225 feet in the air.

Part 2)

We want to find the amount of time it took for the ball to hit the ground.

When the ball hit the ground, its height above the ground is zero. Therefore, we can set h(t) to 0 and solve for t:

$0=-16t^2+104t+56$

We can simplify a bit. Divide both sides by -8:

$0=2t^2-13t-7$

We can factor. Find two numbers that multiply to 2(-7) = -14 and add to -13.

-14 and 1 works! Therefore, split the second term into -14 and 1:

$\displaystyle 0=2t^2-14t+t-7$

Factor out a 2t from the first two terms and group the last two terms:

$0=2t(t-7)+(t-7)$

Factor by grouping:

$0=(2t+1)(t-7)$

Zero Product Property:

$2t+1=0\text{ or } t-7=0$

Solve for each case:

$\displaystyle t=-0.5\text{ or } t=7$

Since time cannot be negative, we can ignore the first case.

Therefore, it takes seven seconds for the ball to hit the ground.

6 0

3 years ago

Solve the following system by graphing.

Rudik [331]

You will need to crest a graph first then place then variables

4 0

3 years ago

What is the probability that at least 18 of the 50 subscribers in your sample REOFFEND? Find the mean of the sample proportion o

Elena L [17]

Answer: The question has some details missing and incomplete. here is the complete question ; New regulations in Canada require all Internet service providers (ISPs) to send a notice to subscribers who are downloading files illegally asking them to stop. This "notice and notice" system was already in place with Rogers Cable. That company says that prior to these regulations, 67% of its subscribers who received the notice did NOT reoffend. Consider a random sample of 50 of these Rogers subscribers who received a first notice.

a) What is the distribution (or approximate distribution) of the number X of subscribers who reoffend?

b)Find the mean of the sample proportion of subscribers that REOFFENDED. Report to two decimal places:

c)Find the standard deviation of the sample proportion of subscribers that REOFFENDED. Report to three decimal places:

d)Find the z-score for the 18 of the 50 subscribers who reoffended (report to two decimal places)

e)Find the probability that at least 18 of the 50 subscribers reoffended (report to two decimal places)

Step-by-step explanation:

a) Approximate distribution of the number X of subscribers who reoffend is NORMAL, as both np and n(1-p) are greater than 5.

b) n = 50, 67% of its subscribers who received the notice did NOT reoffend = q, therefore p = 1 - q = 1 - 0.67 = 0.3300, p = 0.3300,

here mean of distribution ; μ = np = 16.5

c) standard deviation σ =√(np(1-p)) = 3.325

d) z score = (X-mean) / SD = (18-16.5) / 3.325=0.45

e) Probability that at least 18 of the 50 subscribers reoffended; P(X>18) = P(Z>0.45) = 0.33

3 0

3 years ago

7 and 8 are the same letters what am i

saul85 [17]

A seal........................:)

6 0

3 years ago

Work out the circumference of this circle.Take pi to be 3.142 and give your answer to 1 decimal place .The radius is 9cm .??

Alona [7]

Answer:

=28.3m

Step-by-step explanation:

Circumference of a circle = 2πr

Where π= 3.142

From the diagram diameter = 9m

Radius = diameter/2

R = 9/2

R = 4.5m

Circumference = 2×3.142×4.5

Circumference = 28.278

=28.3m

7 0

4 years ago