1answer.
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
andrezito [222]
3 years ago
6

A baseball thrown upward at initial speed of 9.5m/s.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

a) 0.4 s; b) 4.016 m

Step-by-step explanation:

a) Time to same height

\begin{array}{lrcl}(1) & h &=& -4.9t^{2} + 9.5t + 1\\(2) & h & = & -4.9t^{2} + 12t\\& 0 & = & 2.5t - 1\\& 1 & = & 2.5t\\& t & = & \dfrac{1}{2.5}\\\\& t & = & \textbf{0.4 s}\\\end{array}\\

b) Height

Insert the value of t into one of the equations.

h  = -4.9(0.4)^{2} + 12(0.4) = -4.9(0.16) +4.8 = -0.784 + 4.8 = \textbf{4.016 m}

The diagram below shows that the trajectories of the balls intersect after 0.4 s at a height of 4.016 m.

You might be interested in
Natasha is driving at a rate of 4 miles every 3 minutes. How fast is Natasha driving in miles per hour?
balandron [24]
Answer: D

Explanation:
8 0
3 years ago
Write the standard equation for the circle with center (–2, 5) that passes through (1, 9).
maksim [4K]
All given options are incorrect .. As no one is the equation of a circle
6 0
3 years ago
Read 2 more answers
The range of y= sin x is
kolezko [41]

Given:

y = sinx

Required:

To find the range.

Explanation:

The graph of the sine function is as follows:

We can observe from the graph that the values of y lie between -1 to 1.

So the range of the sinx function is [-1, 1].

Final Answer:

The range of sinx function = [-1, 1].

5 0
1 year ago
Use the Counting Principle to find the probability. Choosing the 7 winning lottery numbers when the numbers are chosen at random
frozen [14]

Answer:   120

<u>Step-by-step explanation:</u>

Since the order of the numbers doesn't matter we can use the formula:

\dfrac{n!}{r!(n-r)!}\quad \text{where n is the quantity of items and r is the quantity chosen}\\\\\text{In this problem, there are 10 numbers (n = 10) and 7 to be chosen (r = 7)}\\\\_{10}C_{7}=\dfrac{10!}{7!(10-7)!}\\\\.\qquad=\dfrac{10!}{7!3!}\\\\.\qquad=\dfrac{10\times 9\times 8\times 7!}{7!\times 3\times 2\times 1}\\\\.\qquad=10\times 3\times 4\\\\.\qquad=120

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!! WILL MARK BRAINLIEST!!!
Zolol [24]

(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.

In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).

The total number of chips of different colors in Amy's bag is:

8 blue chips + 9 pink chips + 1 white chip = 18 color chips

Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.

So, the probability that Amy takes out a pink chip in the first draw is:

P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:

P(B) = 9/18  The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

What is the probability that Amy takes out a pink chip in both draws?

P(A∩B) = P(A)P(B)

P(A∩B) = (9/18)(9/18) = 81/324

4 0
3 years ago
Other questions:
  • Hi everyone I needs ton of help!
    12·2 answers
  • The clerk in a fabric store cuts 7 7/8 yards of fabric from a bolt containing 26 5/8 yards of fabric. How much fabric is left on
    9·1 answer
  • A local tire dealer wants to predict the number of tires sold each month. He believes that the number of tires sold is a linear
    11·1 answer
  • Think u got it?
    10·2 answers
  • Factorize <br>m²-2mn+n²-9r​
    5·1 answer
  • A function graph that matches y=3x+1
    15·1 answer
  • △ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°. Using the
    7·2 answers
  • What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev
    6·1 answer
  • What is the area of a half circle with a radius of 40 cm?
    6·2 answers
  • Convert this rational number
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!