A softball is thrown from the top of a 30ft building. The height of the ball is modeled by
h(t) = -16ť? + 20+ + 30
where t is time in seconds.
How long does it take for the ball to hit the ground?
Question to answer: How long does it take for the ball to hit the ground? Round to the nearest tenth.
The ball hits the ground at
seconds.

A Softball Is Thrown From The Top Of A 30ft Building. The Height Of The Ball Is Modeled Byh(t) = -16?

Answers

Answer 1

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

[tex]0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0[/tex]

Factor:

[tex]-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2[/tex]

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!


Related Questions

The circumference of a circle is 56.52 inches. What is the diameter of the circle?


A. 4.5 in.

B. 9 in.

C. 18 in.

D. 36 in.

Answers

Answer:

Circumference of a circle = πd

d=diameter

56.52=3.142d

d=17.98 inches d=18 inches

Answer:

18 in.

Step-by-step explanation:

If you do the math, you'd actually get 17.99 inches lol. Just round your answer to 18 since it's THAT close to 18.

please help e and my sister want to go somewhere but we cant because of this​

Answers

Answer:

1 5/12 lb

Step-by-step explanation:

This is a subtraction problem.

He started with 4 2/3 lb and used 3 1/4 lb, so you need to subtract 3 1/4 lb from 4 2/3 lb.

Notice that the fractions do not have the same denominator, so we need a common denominator and equivalent fractions.

We start with the

subtraction below

       4 2/3

  -    3 1/4

---------------

The least common denominator of 3 and 4 is 12. 12/3 = 4, and 12/4 = 3, so we get equivalent fractions with the common denominator 12.

We use the LCD to get

the subtraction below

       4 8/12

  -    3 3/12

----------------

Now we subtract the whole numbers and the fractions.

       4 8/12

  -    3 3/12

----------------

       1 5/12

Answer: 1 5/12 lb

On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3). Which statement is true about the graphed function? F(x) 0 over the interval (–∞, –3) F(x) > 0 over the interval (–∞, –4)

Answers

Answer:

f(x) > 0 over the interval [tex](-\infty,-4)[/tex]

Step-by-step explanation:

If  f(x)  is a continuous function,  and that all the critical points of behavior change are described by the given information, then we can say that the function crossed the x axis to reach a minimum value of -12 at the point x=-2.5, then as x increases it ascends to a maximum value of -3 for x = 0 (which is also its y-axis crossing) and therefore probably a local maximum.

Then the function was above the x axis (larger than zero) from [tex]- \infty[/tex], until it crossed the x axis (becoming then negative) at the point x = -4. So the function was positive (larger than zero) in such interval.

There is no such type of unique assertion regarding the positive or negative value of the function when one extends the interval from [tex]- \infty[/tex] to -3, since between the  values -4 and -3 the function adopts negative values.

Answer:

D

Step-by-step explanation:

I took it on EDGE

What is the slope of the line that contains the points (4-1 and1,4)?​

Answers

Answer:

-5/3  =  m

Step-by-step explanation:

Don't you mean (4, -1) and (1, 4)?  If so, if we start with (1, 4) and move to (4, -1), then x (the "run") increases by 3 and y (the "rise") decreases by 5.  Then the slope is m = rise / run = -5/3  =  m

need help ASAP!! please

Answers

Answer:

Step-by-step explanation:

a is the base

b is the power

c is the root

a = 7

b = 9

c = 4

Pythagorean theorem!! If you have a leg that is 10in long and the hypotenuse is 26in long, what is the length of the other leg?

Answers

Answer:

a = 24 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 26^2

a^2 + 100 = 676 ////// -100 both sides

a^2 = 576

a = 24 /////UNITS!

a = 24 in.

Here’s the photo, it had a detailed explanation for every step hope it helps

Henry examined the table that represents values satisfying the function f(x) shown below.

Based on the information in the table, which one of these key features is incorrect?

A) the maximum value of the function is 4.
B) the y-intercept of the graph of the function is at (0,-18).
C) a local minimium is located within the interval [3,6].
D) a local maximum is located within the interval [ 1,3].

Answers

the answer is A. it is asking for the incorrect answer therefor all are correct except A.

Answer:

A got it right

Step-by-step explanation:

Which of these procedures is the same as multiplying a whole number by 1,000?
A. Add 1,000 to the whole number, three times.
B. Move the decimal point three places to the left and fill in the blank places with zeros.
C.Multiply the whole number by 3, ten times.
D.Move each digit of the whole number three places to the left and fill in the blank places with zeros.

Answers

Answer:

D. Move each digit of the whole number three places to the left and fill in the blank places with zeros.

Step-by-step explanation:

Take the number 5 for example.

If you multiply this by 1,000 you get 5,000.

You may do this by moving the digit 3 places to the left which will give you

5---, then you replace the empty spaces with zeros.

What is the solution of the system of equations shown below? y = 4x + 4 y
= x^2 - 5x + 18 *

Answers

Answer:

(7, 32) and (2, 12)

Step-by-step explanation:

y = 4x + 4

y = x² - 5x + 18

4x + 4 = x² - 5x + 18

x² - 9x + 14 = 0

14 = (-7)(-2)

-9 = -7 + (-2)

(x - 7)(x - 2)=0

x= 7, x = 2

For x = 7

y = 4x + 4  = 4*7 + 4 = 32

(7, 32)

For x = 2

y = 4x + 4 = 4*2 + 4 = 12

(2, 12)

Check:

y = x² - 5x + 18

(7, 32)

32 = 7² - 5*7 + 18

32= 32 true

(2, 12)

12 = 2² - 5*2 + 18

12 = 12 true

Answer:

(7, 32) and (2, 12)

Step-by-step explanation:

y is directly proportional to x
when x=6 y=4
determine the value of y when x=9

Answers

Answer:

when x=9 then y=6

Step-by-step explanation:

Given that the proportion is a direct proportion, the value of y when x = 9 is 6

How to determine the value of y?

From the question, we understand that y is directly proportional to y

This means that:

y = kx

Where k is the constant of proportionality

x = 6, when y = 4

So, we have:

4 = 6k

Divide by 6

k = 2/3

This means that:

y = 2/3x

When x = 9, we have:

y = 2/3 * 9

Evaluate

y = 6

Hence, the value of y when x = 9 is 6

Read more about direct proportion at:

https://brainly.com/question/16177263

#SPJ2

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Jan spent ​$17 and bought a total of 10 steaks and watermelons. How many of each did she ​buy?

Answers

Answer:

She bought 4 steaks and 8 watermelons, hope this helps

Step-by-step explanation:

maria rolls a regular number cube with sides labeled 1 through 6 a total of 45 times. The number 4 is rolled 12 times. What is the experimental probability of rolling a 4?

Answers

Answer:

... ...................

7) Ryan's school is selling tickets to a play. On the first day of ticket sales the school sold 8 senior citizen
tickets and 10 student tickets for a total of $182. The school took in $109 on the second day by selling 6
senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one
student ticket?

Answers

Maybe try x=z1 or z1=x

Uma escola estadual de ensino fundamental e médio possui 600 alunos matriculados e nesse período de isolamento social ,os professores têm oferecido atividades remotas atravês ...

Answers

The answer is Donde esta la leche that’s the answer because a square plus b square equals c square

Choose the answer based on the most efficient method as presented in the lesson. -- If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be? -- A.)add 3x B.) add x C.) subtract 6

Answers

Answer:

Should be B...add x

Does that look right or am I supposed to multiply and get 52.7

Answers

Yeah you got that right i’m guessing you added

Answer: multiply to get 52.7

Step-by-step explanation: scale factor enlargement means the number they give you (6.2) the new size.

in this case would be 8.5 times 6.2  

I hope this helps!

Name a three dimensional shape that cannot have a triangle as a two dimensional cross section.

Answers

Answer:

A sphere

Step-by-step explanation:

A cross section of a three dimensional figure is the surface or intersection of the three dimensional figure and a plane, it is the shape obtained by cutting straight through the three dimensional figure

The shape of an inclined cross section of a cube can be a triangle however, he shape of a horizontal and inclined cross section of a sphere is a circle.

A major retailer has stuff of 6,400 employees for the holidays after the holiday they will decrease their staff bye 30 how many employees will they have after the holidays

Answers

Answer:

4480 employees

Step-by-step explanation:

Total number of staffs = 6400 employees

If after the holiday they will decrease their staff bye 30%, the amount of staffs decreased = 30% of 6400

= 30/100 * 6400

= 1920employees.

Amount of staffs that they will have after the holiday = Total staffs - decrement

Amount of staffs that they will have after the holiday = 6400 - 1920

= 4480employees

A yard is equal in length to three feet .the function as inputs and returns a measurement in feet as output

Answers

Answer:

The output will be 46.2 since the input normally is 1 and the output is 3. So multiply the input by 3 to get your output.

Step-by-step explanation:

The correct answer is 46.2

 if the input is 15.4 the answer will be 46.2.

How did i got the answer:

The output will be 46.2 since the input normally is 1 and the output is 3. So multiply the input by 3 to get your output.

Answer: 46.2

Hope this helps.

There are 180 girls in a mixed school. lf the ratio of girls is to boys is 4:3 , the total number of students in the school is what?​

Answers

Answer:

315

Step-by-step explanation:

No. of girls be g

No. of boys be b

g= 180

g/b = 4/3

b = 3g/4

b= 3(180/4)

b= 3*45

b= 135

.

Find b+g

= 135 + 180

= 315

Sian is twice as old as her sister Abigail. They divide 30 pounds in the ratio of their ages. How much do Sian and Abigail receive?

Answers

Answer:

Sian would receive 20 Pounds while Abigail would receive 10 Pounds.

Step-by-step explanation:

Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.

If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be

T : 2T (Ratio of Abigail's gae to Sian's age)

The amount received by Abigail

= T/(T + 2T) × 30

= T/3T × 30

= 1/3 × 30

= 10 Pounds

The amount received by Sian

= 2T/(T + 2T) × 30

= 2T/3T × 30

= 2/3 × 30

= 20 Pounds

can some one help me on this question linked ive put all my points in!!!

Answers

Answers:

a) 140, 57

b) Positive

c) 150 cm

The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is produced?

A. h(x)=6(9)^(3x)

B. h(x)=6(3)^(2x^2)

C. h(x)=6(3)^(3x)

D. h(x)=6(6)^(2x^2)
Please show work!

Answers

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)

So answer C is the right answer.

Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. WRITE AN EXPRESSION for how many pieces each child received

Answers

Answer:

(x-7)/3

Step-by-step explanation:

x is the amount of candy

x-7 is the amount that Adam got.

(x-7)/3 is the expression for how many pices each child received.

Find angle x,y,x,p!
'very easy

Answers

Answer:

y=120

z=120

x=120

p=60

Step-by-step explanation:

y=120

z=120

x=120

p=60

ANSWER:
ANGLE X=120 DEGREES ( VERTICALLY OPPOSITE)
ANGLE Y = 120 DEGREES ( ALTERNATE INTERIOR ANGLES )
ANGLE Z= 120 DEGREES ( VERTICALLY OPPOSITE)
ANGLE P = 180 DEGREES -120 DEGREES ( LINEAR PAIR )
= 60 DEGREES
HOPE IT HELPS!!!!

find the area of the shape shown below

Answers

Answer:

I think the area is 12 units.

Step-by-step explanation:

Anyone correct me if I'm wrong!

So, I started with 6 times 2 is 12 but since it's a triangle, you have to divide it by 2 . Cause if you cut a square or rectangle, it will become a triangle.

So, 6 for half of the rectangle.

Then in the middle it's a square so 2 times 2= 4.

That square is 4.

Last one would be half a square, so 2 times 2= 4. Divide it in half, you get 2.

That part is 2.

Then I think you have to add all of them, 6+4+2=12

So  I think it's 12 units??

Answer:

There are 3 shapes in the figure.

1 scalene triangle

1 equilateral triangle

1 square

the formula to find the area of a triangle is 1/2 x base x height:

Area of scalene triangle: 1/2 x 6 x 2 = 6 units^2

Area of equilateral triangle: 1/2 x 2 x 2 = 2 units ^2

Area of square: (base x height)

Area of square: 2 x 2 = 4 units^2

Then add up all the areas:

6 units^2 + 2 units^2 + 4 units^2 = 12 units^2

So the area of the entire figure is 12 square units.

pls mark brainliest if this helped :)

in a test +3 marks are given for every correct answer and -1 for every incorrect answer Mary attempted all questions and scored +20 marks though she got 10 correct answers (1)how many incorrect answers has she attempted? (2)how many questions were given in the test?

Answers

Answer:

10

20

Step-by-step explanation:

correct c=3 x 10

incorrect i=-1

-------

3c-i=203*10-i=20i=10

incorrect= 10

number of questions= 10+10= 20

The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the range? What is the median?

Answers

Answer:

median = total observation\ no of observation

median=2+3+2+3+2+6+13\7

median=19.857

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME PLEASE

_________________________________

Hey!!!

Solution,

1. Arranging the data in ascending order:

2,2,2,3,3,6,13

N(total number of items)=7

Now,

Median=(N+1/2)th item

=(7+1/2)th item

=(8/2)th item

=4th item.

Median = 3

2. Solution,

Highest score=13

Lowest score=2

Range=highest score-lowest score

=13-2

=11

So, Median=3 Range=11

Hope it helps

Good luck on your assignment

Stay safe....

__________________________________

Hi! I need the answer for this question: solve until you get the minimum expression: 2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)

Answers

Answer:

11/5 x^2 + 5/2 xy + 3/2 y.

Step-by-step explanation:

2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)

= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y

= 11/5 x^2 + 5/2 xy + 3/2 y.

What is the area??????

Answers

Answer:

15.59

Step-by-step explanation:

The answer is 15.59 because to find the area of an equilateral triangle, you need to multiply the height by the length. In this scenario, the length is 6, and we need to find the height. Since we know that all of the sides of the equilateral triangle are 6, we can put a line dividing the equilateral triangle exactly in half as our height. This will form 2 triangles, and each of them will have a length of 3, and a slant height of 6. They would also be right triangles. Now, with this information you can do pythageroum thereom to find the height:: 3^2 + h^2 = 6^2. So, h = √27. Now, to find the area of a triangle, you must multiply the length by the height and then divide by 2. So (6 • √27)/2 is equal to 15.5884572681, which rounded is equivalent to 15.59. So the answer is 15.59.

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