A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = -16(t - 7)(t + 2).

What is a reasonable time for it to take the baseball to land on the ground?

A.
5 seconds
B.
9 seconds
C.
2 seconds
D.
7 seconds

Answers

Answer 1

Answer:

D. 7s

Step-by-step explanation:

h(t) = height off the ground

We know the height of the ball at the point when it hits the ground will be 0, so we set h(t) = 0:

h(t) = -16(t - 7)(t + 2) = 0

In order for this to be true, either:

"t - 7 = 0" or "t + 2 = 0"

We can solve these to get the times at which the ball will hit the ground, which gives:

t = 7 or t = -2

-2s is not a logical time because the ball can't hit the ground before it is thrown so this solution is not relevant;

7s therefore is the correct solution


Related Questions

What additional information do you need to prove ∆ABC ≅ ∆DEF by the SSS Postulate?

Answers

Answer:

The first choice AB congruent to DE

Step-by-step explanation:

we already know that the other sides are congruent by looking at the dashes on the side, but there is no indicatation that that Side AB and side DE are congruent

please help calculate

Answers

Step-by-step explanation:

the answer is in the above image

What is the constant of proportionality of the fowllowing equation y=4x

Answers

Answer:

4 is the constant in this case.

which of the following is a point slope equation of a line with the point (-6,2) and a slope of 1/2?

Answers

Answer:

y - 2 = 1/2(x + 6)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Identify

Point (-6, 2)

Slope m = 1/2

Step 2: Find

Substitute in variables [Point-Slope Form]:                                                     y - 2 = 1/2(x - -6)Simplify:                                                                                                             y - 2 = 1/2(x + 6)

Some one say that if you multiply or divide each side of an inequality by a negative number, the inequality sign changes directions. He give an example: -2x < 6, then x > -3. Is the statement true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is true!

Let's say we subtract 6 from both sides

-2x -6< 0                       Now Let's add 2x to both sides

-2x + 2x - 6 < 0 + 2x

- 6 < 2x                         We did so we would be dividing by a number greater than 0.                         Divide by + 2

-6/2 < 2x / 2

-3 < x                            Notice you still get the open end of the inequality sign closest to the x without changing the direction of the inequality.

The bakery owner will use both machines to glaze a total of 375 dozen
doughnuts. She plans to start both machines at the same time.
Based on the rates fromwhat is the total number of hours it
will take both machines working together to glaze 375 dozen doughnuts?

Answers

Answer:

2250 i think

Step-by-step explanation:

2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Angle T R V is 95 degrees. mAngle SRW = °

Answers

Answer:

m<SRW = 95degrees

Step-by-step explanation:

If a line with points T, R, W intersects a line with points S, R, V at point R with the point of intersection at R, this means that;

m<TRV = m<SRW  (vertically opposite angles)

Since m<TRV = 95 degrees, hence <SRW = 95degrees

Follow the directions to solve the system of equations by elimination.

8x + 7y = 39

4x – 14y = –68

Multiply the first equation to enable the elimination of the y-term.
Add the equations to eliminate the y-terms.
Solve the new equation for the x-value.
Substitute the x-value back into either original equation to find the y-value.
Check the solution.
The solution to the system of equations is (
,
).

Answers

8x + 7y = 39
4x - 14y = -68

(multiply each term in second equation by -2)

8x + 7y = 39
-8x + 28y = 136

(add both equations)

35y = 175

(divide both sides by 35)

y = 5

(substitute value of y in one of the equations)

8x + 7(5) = 39
8x + 35 = 39
8x = 4
x = 1/2
(x, y) = (1/2, 5)

Which answer matches this description? 15 minus the quotient of 50 and 10 15 = (50 - 10) (50 - 15) + 10 (50 - 10) - 15 15 - (50 = 10)​

Answers

Answer:

The bottom left one

15 - (50 / 10)

Step-by-step explanation:

15 minus the quotient of 50 and 10

Keywords:

Minus: subtraction meaning we would use (-)

Quotient: Quotient is the outcome of division (/)

15 minus the quotient of 50 and 10

Replace minus with (-)

15 - the quotient of 50 and 10

Get rid of quotient and add a division sign between 50 and 10

15 - 50 / 10

Add parenthesis

15 - (50 / 10 )

whats the angle of J

Answers

Answer:

<J = 59

Step-by-step explanation:

Since this is an isosceles triangle, <J and <H are the same

The sum of the angles in a triangle are 180

62+ <J + <H =180

62+ <J + <J = 180

62 + 2 <J =180

Subtract 62 from each side

2 < J = 180-62

2 < J = 118

Divide by 2

<J =118/2

<J = 59

Answer:

∠J = 59 °

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

so, ∠J and ∠H are same.

We know that sum of angles of triangle is 180°.

∠J = ∠H .. ( in isosceles triangle two side are equal).

so, ∠J = ∠J

62° + ∠J + ∠ J = 180°

combine like terms

62° + ∠2J = 180°

Subtract 62 from each side

62° - 62° + ∠2J = 180° - 62°

∠2J = 118°

Divide each side by 2

∠2J/2 = 118° / 2

∠J = 59 °

Verification :-

∠J + ∠H + 62° = 180°

59° + 59° + 62° = 180°. .( ∠J =∠H - proved above)

118° + 62° = 180°

180° = 180°

LHS = RHS

-3x + 7 = 5x + 4 - 8x


looking for help to answer with work ?

Answers

Answer:

no solutions

Step-by-step explanation:

-3x + 7 = 5x + 4 - 8x

Combine like terms

-3x+7 = -3x+4

Add 3x to each side

-3x+7+3x = -3x+4+3x

7 = 4

This is not a true statement so there are no solutions

SHOW ALL WORK PLZ
1. 37cm= ___ mm 2. 20m=___cm 3. 34in=___mm 4. 20m=___km 5. 29km=___m

Answers

Answer:

3702000863.60.0229000

Step-by-step explanation:

1 cm = 10 mm1 m = 100 cm1 in = 25.4 mm1 m = 0.001 km1 km = 1000 m

1. Use proportions and cross-multiply:

[tex]\frac{X mm }{37cm} =\frac{10 mm}{1cm} \\x = 37 * 10 = 370[/tex]

2. Use proportions and cross-multiply:

[tex]\frac{20 m}{X cm} =\frac{1 m}{100cm} \\x=20*100=2000[/tex]

3. Use proportions and cross-multiply:

[tex]\frac{34in}{Xmm} =\frac{1in}{25.4mm} \\x=34*25.4=863.6[/tex]

4. Use proportions and cross-multiply:

[tex]\frac{20m}{Xkm} =\frac{1m}{0.001km} \\x=20*0.001=0.02[/tex]

5. Use proportions and cross-multiply:

[tex]\frac{29 km}{Xm}=\frac{1 km}{1000m} \\x=29*1000=29000[/tex]

How many four-letter permutations can be formed from the first five letters of the alphabet?

Answers

Answer:

120

Step-by-step explanation:

formula:

[tex]\frac{n!}{(n-h)!}=\frac{5!}{(5-4)!}=120[/tex]

Using the complement method, calculate the net price on an invoice amount for
$1,323.50 with a 15% trade discount.

Answers

Answer:

Not completely sure but i think the answer is 1124.975

Step-by-step explanation:

The equation of a function is given.
f(x)=(2x-3)(3x+4)
What is one of the zeros of the function?

Answers

Answer:

3/2 or -4/3

Step-by-step explanation:

2x-3=0, 3x+4=0

x=3/2 or-4/3

Find the area. Simplify your answer.
x+8
X+9

Answers

Answer:

incomplete question i will assume that you have an rectangle

(x+8) by (x+9)

area = x^2 + 17x + 72

Step-by-step explanation:

Please help really Urgent

Answers

The answer is 18because you multiply by 3

can someone please help me with this?

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

Tangents to a circle from the same point are the same length.

  43 -2x = 12x +1

  42 = 14x . . . . . . . add 2x-1

  3 = x  . . . . . . . divide by 14

When a 6 foot tall fence pole cast a 10 foot shadow, a pine tree cast a 65 foot shadow. How tall in the tree?

Answers

Answer:

39 feet.

Step-by-step explanation:

If a 6 foot pole cast 10 feet continue to mutiply 6 until you get to 60 and once you get to 60 half the 6 into 3 adding 3 feet.

What type of triangle is formed by the side lengths below? 7cm 9cm 11cm A. Acute B. Right C. Obtuse D. Cannot form a triangle

Answers

Answer:

A. Acute

Step-by-step explanation:

To start, determine whether you can form a triangle or not. In any triangle, the sum of any two sides must be greater than the third side. In this case, this holds true and we can definitely form a triangle.

Let [tex]c[/tex] be the longest side of the triangle and let [tex]a[/tex] and [tex]b[/tex] be the other two sides.

If [tex]a^2+b^2>c^2[/tex], the triangle is acute.

If [tex]a^2+b^2=c^2[/tex], the triangle is right.

If [tex]a^2+b^2<c^2[/tex], the triangle is obtuse.

Substituting given information:

[tex]7^2+9^2>11^2[/tex], therefore the triangle is acute.

please help marking like brainlist

Answers

Answer:

c

Step-by-step explanation:

5 2/3 * 3/4 = 4 3/12
to find the answer you multiply 5*3 to get 15 you then add 3 to get 17. 17 is your new numerator and 3 stays as the denominator. you then multiply 17 and 3 to get 51. you now multiply the denominators to get 12. 12 goes into 51, 4 times. you get 48. 51-48= 3. so the answer is 4 3/12 hope this helps :)

Which of the following is a factor of x3 + 2x2 - 25x – 50?

Answers

Answer:

(x - 5)(x + 2)(x + 5)

Step-by-step explanation:

x³ + 2x² - 25x - 50

x³ + 7x² - 5x² - 35x + 10x - 50

x(x² + 7x + 10) - 5(x² + 7x + 10)

(x - 5)(x² + 7x + 10)

(x - 5)(x² + 2x + 5x + 10)

(x - 5)(x(x + 2) + 5(x + 2))

(x - 5)(x + 2)(x + 5)

Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?

y = 0.605x + 0.004
y = 0.959x + 0.041
y = 1.518x + 0.995
y = 1.967x + 0.984

Answers

Answer:

its the 4th one

Step-by-step explanation:

Answer:

the answer is C y=1.518x+0.995

Step-by-step explanation:

PLEASE HELPPP!!
What number line represents the solution set for the inequality 3(8-4x)<6(x-5)?

Answers

Answer:

3(8-4x) < 6(x-5)

24-12x < 6x-30

24+30 < 6x+12x

54 < 18x

54\18 < x

3 < x

It means the ans is option no. b

Step-by-step explanation:

3(8-4x)<6(x-5)

24-12x<6x-30

-12x-6x<-30-24

-18x>-54

Divide both sides by -18

=x>3

Ans is B(second number line)

Which arc is congruent to Arc E H? Arc G H Arc F H Arc G E Arc F G

Answers

Answer: GE

Step-by-step explanation:

uh i just know it’s the answer

Answer:

C. G E

Step-by-step explanation:

Find the common difference of the arithmetic sequence

Answers

Answer:

The common difference is 1/5.

Step-by-step explanation:

Each new term is equal to the previous term, plus the common difference 1/5.

-2 + 1/5 = -10/5 + 1/5 = -9/5  = -1 4/5, and so on.

Answer:

Step-by-step explanation:

[tex]c.d.=-1\frac{4}{5} -(-2)\\=-\frac{9}{5} +2\\=\frac{-9+10}{5} \\=\frac{1}{5}[/tex]

THIS MY THIRD TIME POSTING THIS QUESTION PLEASE HELP MEE!!!

Answers

Answer:

From my thinking prospection the answer should be 18....

A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it from the side of the house. Find the
length of the ladder Round your answer to the nearest tenth.

Answers

Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

 From right angle triangle

     

     

     x = 16 × cos 68°

    x = 16 × 0.4067

    x = 6.5077

  x = 6.5 ft

The length of the ladder = 6.5 ft

y = one-third (x + 2)

Answers

Answer:

Step-by-step explanation:

according to the question equation is

y=1/3*(x+2)

y=x+2/3

solve the inequality
x(6x+5)<0

Answers

Answer:

-5/6 < x < 0

Step-by-step explanation:

x(6x+5)

these are the factors of a quadratic that opens up. The value will be less than zero between the roots.

the roots are:

x = 0

6x + 5 = 0

6x = -5

x = -5/6

x = {-5/6, 0}

Therefor

x(6x + 5) < 0

-5/6 < x < 0

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

To see this visually look at the graph

See where the parabola is below the x-axis

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