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
slava [35]
3 years ago
6

The CHS Baseball team was on the field and the batter popped the ball up. The equation b(x)=80t-16t^2+3.5 represents the height

of the ball above the ground in feet as a function of time in seconds. How long will the catcher have to get in position to catch the ball before it hits the ground? Round to the nearest second.
Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

Answer:

<em>t = 5 seconds</em>

Step-by-step explanation:

We must solve the equation of movement of the ball as a function of time in seconds.

We must find how many seconds it takes until the ball touches the ground. When the ball touches the ground, the height b (t) = 0

Then we equate the equation to zero and solve for t.

80t-16t ^ 2 + 3.5 = 0

Use the quadratic formula.

Where

a = -16\\\\b = 80\\\\c = 3.5

t = \frac{-b \±\sqrt{b^2-4ac}}{2a}\\\\\\t_1 = \frac{-(80)-\sqrt{(80)^2-4(-16)(3.5)}}{2(-16)}\\\\t_1= 5.04\ s\\-------------------------\\t_2 =\frac{-(80)+\sqrt{(80)^2-4(-16)(3.5)}}{2(-16)}\\\\t_2=-0.0434\ s

We take the positive solution

<em>t = 5 seconds</em>

You might be interested in
LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is def
Scrat [10]

Answer:

0.0782 (7.82%)

Step-by-step explanation:

The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.

The PMF (Probability Mass Function) is

f(k,n,p)=\binom{n}{k}p^kq^{n-k}

Where q = 1-p

LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50

5 0
4 years ago
2
OLga [1]

Answer:

Express into algebraic form

Step-by-step explanation:

10 + 6x = 4x - 4

6 0
3 years ago
The sum of two numbers is 1000 and the difference between their sqares is 25600. then find the numbers.
Shalnov [3]

Answer:

The 2 numbers are 512.8 and 487.2.

Step-by-step explanation:

Let the numbers be x and y, then:

x + y = 1000............(1)

x^2 - y^2 = 25600

(x + y)(x - y) = 25600

1000(x - y) = 25600

x - y =  25.6............(2)

Adding (1) + (2):

2x = 1025.6

x = 512.8

so y = 1000 - 512.8

y = 487.2.

4 0
3 years ago
Read 2 more answers
The quotient of b and 2 minus 4 is at least 26. I need this ASAP
Pavlova-9 [17]

For this case we must express the following expression algebraically:

<em>"The quotient of b and 2 minus 4 is at least 26"</em>

So we have to:

The quotient of b and 2 minus 4, is represented as:\frac {b} {2-4}

We have different signs subtracted and the sign of the major is placed:

\frac {b} {- 2}

Thus, the expression is written as:

\frac {b} {2-4} \geq26\\\frac {b} {- 2} \geq26\\- \frac {b} {2} \geq26

ANswer:

\frac {b} {2-4} \geq26

3 0
3 years ago
(02.01 MC)
ELEN [110]

Answer:

Step-by-step explanation:

The size does not change because the shape is only moving to new coordinates not growing or shrinking.

This means the shape also does not change.

When you translate a shape in geometry it means you are changing the position. But the shape will remain the same, meaning the angles remain congruent.

8 0
3 years ago
Other questions:
  • Use the quadratic formula to solve 9x2 + 6x – 17 = 0. A. B. x = –1, –5 C. D.
    13·1 answer
  • Which measurement is most accurate to describe the amount of soup a bowl could hold?
    15·1 answer
  • The bill for a pizza was $14.50. Charles paid for 4/5 of the bill. How much did he pay?
    6·1 answer
  • The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is t
    9·1 answer
  • Can anyone write me the steps of how to graph y=(x-9)^, please?
    6·1 answer
  • A flower bed in the corner of your yard is in the shape of a right triangle. The perpendicular sides of the bed measure 7
    11·1 answer
  • Please Helpp Mee! I need it NOW!
    13·2 answers
  • 1. Which of the following is the 65th term in the sequence 8, 5, 2,-1,
    10·1 answer
  • RECORD THE LETTERS FORM YOUR TRIANGLE FROM LEFT TO RIGHT
    15·1 answer
  • Use the digits 1-20, at most one time each, to create a true statement for polynomial below.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!