answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
grandymaker [24]
2 years ago
8

Noelle stands at the edge of a cliff and drops a rock. The height of the rock is given by the function f(x)-4.9x2 + 15, where c

is the number of seconds after noelle releases her rock.
Cesar, who is standing nearby on the ground, throws a rock straight up in the air. The height of Cesar’s rock is given by the function g(x)-4.9x2+10x, where x is the number of seconds after he releases his rock.

What is the height the money the two rocks are at the same level above ground.

Mathematics
1 answer:
Oxana [17]2 years ago
3 0
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.

That height is 3.975 meters.

_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975

You might be interested in
In the diagram of circle o, what is the measure of ABC?<br> 27°<br> 54°<br> 108°<br> 120°
Vlad1618 [11]

<u>Given</u>:

Given that a circle O with two tangents BA and BC.

The major arc AC is 234°

The minor arc AC is 126°

We need to determine the measure of ∠ABC

<u>Measure of ∠ABC:</u>

We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."

Hence, applying the above property, we have;

\angle ABC=\frac{1}{2}( major \widehat{AC} - minor \widehat{AC})

Substituting the values, we get;

\angle ABC=\frac{1}{2}( 234^{\circ} -126^{\circ})

\angle ABC=\frac{1}{2}( 108^{\circ})

\angle ABC=54^{\circ}

Thus, the measure of ∠ABC is 54°

Hence, Option b is the correct answer.

5 0
2 years ago
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has dots. The dot plot has dots to the left of
Arisa [49]

Answer:

The dot plot has  22

dots.

The dot plot has   11

dots to the left of the

center and   11

dots to the right of the center.

The center of the data set is  

between 2 and 3

.

Step-by-step explanation:

6 0
2 years ago
A survey found that 73% of adults have a landline at their residence (event A); 83% have a cell phone (event B). It is known tha
4vir4ik [10]

Answer:

3. What is the probability that an adult selected at random has both a landline and a cell phone?

A. 0.58

4. Given an adult has a cell phone, what is the probability he does not have a landline?

C. 0.3012

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an adult has a landline at his residence.

B is the probability that an adult has a cell phone.

C is the probability that a mean is neither of those.

We have that:

A = a + (A \cap B)

In which a is the probability that an adult has a landline but not a cell phone and A \cap B is the probability that an adult has both of these things.

By the same logic, we have that:

B = b + (A \cap B)

The sum of all the subsets is 1:

a + b + (A \cap B) + C = 1

2% of adults have neither a cell phone nor a landline.

This means that C = 0.02.

73% of adults have a landline at their residence (event A); 83% have a cell phone (event B)

So A = 0.73, B = 0.83.

What is the probability that an adult selected at random has both a landline and a cell phone?

This is A \cap B.

We have that A = 0.73. So

A = a + (A \cap B)

a = 0.73 - (A \cap B)

By the same logic, we have that:

b = 0.83 - (A \cap B).

So

a + b + (A \cap B) + C = 1

0.73 - (A \cap B) + 0.83 - (A \cap B) + (A \cap B) + 0.02 = 1

(A \cap B) = 0.75 + 0.83 - 1 = 0.58

So the answer for question 3 is A.

4. Given an adult has a cell phone, what is the probability he does not have a landline?

83% of the adults have a cellphone.

We have that

b = B - (A \cap B) = 0.83 - 0.58 = 0.25

25% of those do not have a landline.

So P = \frac{0.25}{0.83} = 0.3012

The answer for question 4 is C.

4 0
2 years ago
Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
Free_Kalibri [48]

Answer:

C. 22

Step-by-step explanation:

Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.

To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:

6x-36=96\\ \\6x=96+36\\ \\6x=132\\ \\x=22

6 0
2 years ago
Read 2 more answers
A regulation hockey puck must weigh between 5.5 and 6 ounces. The weights X of pucks made by a particular process are normally d
mr_godi [17]

Answer:

P(5.5

And we can find this probability with this difference:

P(-2.27

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.75,0.11)  

Where \mu=5.75 and \sigma=0.11

We are interested on this probability

P(5.5

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(5.5

And we can find this probability with this difference:

P(-2.27

6 0
2 years ago
Other questions:
  • A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.
    13·1 answer
  • Woody’s Cafe Real Estate tax of $1,110.85 was due on November 1, 2010. Due to financial problems, Woody was unable to pay his ca
    12·1 answer
  • Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord
    9·1 answer
  • A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest
    12·2 answers
  • Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
    14·1 answer
  • PLS HELPPPP IM DOING THIS NOW AND I WANT THIS RIGHT PLSSSS For two years, two samples of fish were taken from a pond. Each year,
    9·2 answers
  • Lenmana started studying how the number of branches on her tree grows over time. The number of branches increases by a factor of
    13·1 answer
  • Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost
    11·2 answers
  • A fair coin is flipped twice. Drag letters to complete the tree diagram to represent the sample space
    6·1 answer
  • I will give brainliest!!!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!