WILL CHOOSE BRAINLIEST! The height of a baseball, h (in feet), as a function of time, t (in seconds), is given by the equation h(t)=-16t²+32t+3. find the average velocity (in ft/sec) of the baseball from t=0 to t=1.

Answers

Answer 1

Answer:

Given the equation y = -16t^2 + 96t + 3, we know a = -16, b = 96, c = 3.

Let's solve for h in this problem.  

h = -b/2a

h = -(96) / 2(-16)

h = -96 / -32

h = 3 seconds

Now let's add t=3 to our equation:

y = -16t^2 + 96t + 3

y = -16*(3)^2 + 96*(3)+ 3

y = -144 + 288 + 3

We now know that the vertex is (3,147), which means that the ball's maximum height is 147 feet.

Answer 2

Answer:

Step-by-step explanation:

Find the height at   h(0)   and   h(1)

h(0) = 3 ft

h(1) = -16 + 32 + 3 = 19 ft

It takes 1 second to go from 3 feet to 19 feet

  (19-3) ft / 1 sec = 16 ft/sec


Related Questions

Lisa is working on plans for a 12-acre housing development. A park will [tex]2\frac{1}{2}[/tex] cover acres, and paved areas will take [tex]1\frac{3}{4}[/tex] acres. How many acres are left for home sites.

Answers

Answer:

Step-by-step explanation:

Here is the equation for this problem:

2 1/2 + 1 3/4 + x = 12

To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)

3/2 + 7/4 + x = 12

The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)

3 x 2 = 6

2 x 2 = 4

Now, the equation looks like this:

6/4 + 7/4 + x = 12

Now add the fractions. The denominator stays the same, but the numerators are added together.

6/4 + 7/4 = 13/4

Now, you can revert 13/4 back to a mixed number

13/4 = 3 1/4

The equation should look like this now:

3 1/4 + x = 12

Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)

12 - 3 1/4 = 8 3/4

Now, it should look like this:

x = 8 3/4

You could change the 8 3/4 into a decimal as well, which would look like this:

x = 8.75

Here is a summary of the whole equation:

2 1/2 +  1 3/4 + x = 12

3/2 + 7/4 + x = 12

6/4 + 7/4 + x = 12

13/4 + x = 12

3 1/4 (-3 1/4) + x = 12 (-3 1/4)

x = 8 3/4 or 8.75 acres

Answer:

Lisa has 8 3/4 acres left for home sites

There will be 7.75 acres of land left for home sites.

What is Mixed Fraction?

Mixed fractions are type of fractions which includes both a whole part and a fractional part.

It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a +  [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.

Total land for housing development = 12 acres

Land covered by park = 2 [tex]\frac{1}{2}[/tex]

                                     = (2 × 2 + 1) / 2

                                     = 5/2 acres

Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]

                                                  = (1 × 4 + 3) / 4

                                                  = 7/4 acres

Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{17}{4}[/tex]

                                                                           = 4.25 acres

So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])

                                     = 12 - 4.25

                                     = 7.75 acres

Hence Lisa can build the home sites in the remaining 7.75 acres of land.

To learn more about Mixed Fractions, click :

https://brainly.com/question/29264210

#SPJ2

IM STUck HELP ME PLEASE

Answers

Answer:

A and B are the correct answers

Step-by-step explanation:

Answer: A because im just guessing

get more math help pls

Answers

If the temperature drops 3 degrees ever hour, and she monitors it for 5 hours, then the equation would be 3 x 5 = 15. So the temperature ultimately has dropped 15 degrees during the past 5 hours.

Answer: See below

Step-by-step explanation:

If the tempature is dropping 3 degrees every hour mulitply 3x5 and you will get 15. Therefore the answer is -15 degrees

Which is a solution to the linear inequality 2x-3y>6
A. (3,0)
B. (-3,1)
C. (3,-1)

Answers

Answer:

C ( 3,-1) is a solution

Step-by-step explanation:

2x-3y>6

Let x = 3

2(3) -3y >6

6 - 3y>6

Subtract 6

-3y >0

Divide by -3

-3y/-3 < 0/-3

y < 0

If x = 3 y must be less than 0

C ( 3,-1) is a solution

The answer is C.

Plug it into the equation.

2(3) - 3(-1) > 6

Simplify.

6 + 3 > 6

9 > 6

Since this is true, this is the answer.

HELP I ONLY HAVE ONE MINUTE LEFT!!!
Which statements about this system of equations are true? Check all that apply.


A: The x-variable will be eliminated when adding the system of equations.

B: The y-variable will be eliminated when adding the system of equations.

C: The sum of the system of equations is Negative 8 x = 14.

D: x = 2

E: y = 3

F: There is only one solution to the system of equations.

Answers

Answer:

Step-by-step explanation:

b,d,e,f :)

D and E are the answers

WILL CHOOSE BRAINLIEST. Which description most accurately describes the transformation shown below.

Answers

Answer:

A

Step-by-step explanation:

The triangle must not translate left because then it will move away from the y-axis, which is not what happens here. So B and C are wrong. D is wrong because if it reflects across the y-axis it won't touch the y-axis, but here it touches so it's wrong.

Hope it helped:)

Answer:

A

Step-by-step explanation:

Because if you just move the original points to right 6 and down 5 it will show the graph on the right.

Rewrite the equation without absolute value
Y=|x-2|+|x+2|-|x-5| if x<-2

Answers

Answer:

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to first simplify and take the absolute value:

x+2+x+2-x+5

Now you need to simplify

x+9

So, the rewritten form of the equation is x+9

Q4H: The question is in the picture below (please show work) :

Answers

-3x-5=16
-3x-5(+5)=16+5
-3x=21
-3x/-3=21/-3
x=-7

-4(y-2)=12
-4y+8=12
-4y=4
y=-1

8.88=4.44(x-7)
8.88=4.44x-31.08
39.96=4.44x
9=x

5(y+2/5)=-13
5y+2=-13
5y=-15
y=-3

__,__,80,64,51.2,40,96,...

Find the first two terms of the geometric sequence.

Answers

Answer:

125, 100, 80,64,51.2,40.96...

Step-by-step explanation:

y=[tex]\frac{4}{5}[/tex]x

So let's work backwards!

[tex]\frac{5}{4}[/tex](80)

=100

Then...

[tex]\frac{5}{4}[/tex](100)

=125

Hope this helps! :D

Answer:

  125, 100

Step-by-step explanation:

Perhaps the terms of your series are supposed to be ...

  __, __, 80, 64, 51.2, 40.96, ...

The common ratio is 64/80 = 0.8, so the recursive relation is ...

  t[n] = 0.8×t[n-1]

__

Solving for the previous term, we find ...

  t[n]/0.8 = t[n-1] . . . . . . divide by 0.8

or ...

  t[n-1] = 1.25×t[n] . . . . . rearrange

Then the term previous to 80 is 1.25×80 = 100.

And the term previous to 100 is 1.25×100 = 125.

The first two terms of the geometric sequence are 125 and 100.

I NEED HELP CUZ I BAD

Answers

Answer:

Given:

∠1 = 63 - 2x°∠2 = 72 - 3x°

And if we look at the diagram, we can see that angles 1 and 2 are corresponding, and corresponding angles are congruent(meaning they measure the same degrees).

So all we need to do now, is set up the equation to angle 1 being equal to angle 2.

(63 - 2x) ← [angle 1] = (72 - 3x) ← [angle 2]

Solve;

63 - 2x = 72 - 3x

+2x            +2x

63 = 72 - 1x

-63     -63

9 - 1x = 0

+1x      +1x

9 = x, the value of 'x' measures 9°.

what is the peremeter and area of the photo below, also please show work .

Answers

Answer:

102.849

Step-by-step explanation:

the perimeter of the square is just 4 × 18.

for the semi-circle the perimeter should be R(pi + 2)

so the perimeter of a semi circle is 30.849

add both values for the final answer which is 102.849

She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?

Answers

Answer:

she has 7 outfits

Step-by-step explanation:

cause if you have 7 pairs of pants and 6 shirts and 7 hoodies you can make 7 outfits

Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5.
What would the coordinate pair be?

Answers

Answer:

(11,8)

Step-by-step explanation:

9+2=11

5+3=8

Answer:

(11,8)

9+2=11

5+3=8

Bijou says the following steps can be used to find 0.62 of 7:

Step 1

Step 2

Step 3


Step 4


Change "of” to the multiplication symbol.

62 × 7 = 434

There are 0 decimal places in 7 and 2 decimal places in 0.62 for a total of 2 decimal places in the factors.

Move the decimal place in the product 2 places to the right to find the solution: 0.62 of 7 is 43,400.

In which step did she make her first error?

Step 1
Step 2
Step 3
Step 4

Answers

answer is step 1

Step-by-step explanation:

Answer:

I believe it's a, step one

Step-by-step explanation:

the term "of" in mathematics usually means division

The first three terms of a geometric sequence are as follows.

Answers

Answer=32 and 64

Explanation: the patter is multiplying by 2, so next you’ll do 16 times 2=32 and 32 times 2=64
Please Give Brainliest!
The pattern is a multiplication of 2, so your answer will be 32, and 64 :)

I need Help again pls :)

Answers

Answer:

76 novels

Step-by-step explanation:

n times m

N=4

M=19

4 times 19= 76

The answers 76. Your welcome

PLease help me! Due tonight thank you!

Answers

Answer:

1432.08 centimeters^2 I think

Step-by-step explanation:

Surface Area = 2×(3.4×18 + 3.4×30.6 + 18×30.6) = 1432.08 centimeters2

I also think the answer is wjat the dude said above me

Help me plssssssssss

Answers

some people are sending links to answers so pls dont open them. it will give you a virus.

Data management probability

Answers

Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.

Step-by-step explanation:

Find each missing measure for 1, 2, 3, and 4. Giving brainliest!

Answers

Answer:

a quadrilateral adds up to 360 degrees so each 4 siede figure is 360 degress

Step-by-step explanation:

1. add 108 + 59 + 119= 286 now do 360 - 286 = and you get 74

so that is how you get the answeres for the question , add the degrees then minus it by 360

Please mark brainliest :)

2. x = 234

3. x = 37

4. x = 83

1. x=74 because 119+108+59=296 then 360-286=74

2. x=144 because 90+75+51=216 then 360-216=144

3. x=37 because 147+94+82=323 then 360-323=37

4. x=83 because 138+76+63=277 then 360-277=83

hope this helps :)

The vertices of triangle DEF are D(12, -8), E(-4, -8), and F(-4, 16). The triangle is dilated with a scale factor of 1/4. Estimate the perimeter of the dilated figure to the nearest whole number.

Answers

Answer:

6

Step-by-step explanation:

2

brainliest if it is right

Answers

and area of circle is 3.1416×2.25=7.0686 cm2

Answer:

Area=7.071428571

Step-by-step explanation:

Before finding its area lets find its radius.

Given,

Diameter=3

Now,

Radius,r=D/2

          r =3/2

           r=1.5            

Again,

         Area of circle,A= pi*r*r

                           A =22/7*1.5*1.5

                           A=22/7*2.25

                           A=49.5/7

                           A=7.071428571 ans.

PLEASE HELP, the picture below are the details (giving brainliest)

Answers

Answer:

A or C but i believe it is A

I get confused when there are boxes—
i also get stuck on fractions.. help

Answers

2.4x+2.8=10

Use inverse operations to find for x!

x= 3

The Answer is 2.4x+2.8=10 Hope this helped
Explained

Sondie sold $6,300 worth of jewelry for her company. She earns $573.25 for
income each week. She is given a 20% commission on her total sales. What was
Sondie’s total income?

Answers

Answer:

i think maybe $1833.25

Step-by-step explanation:

[tex] \frac{20}{100} \times 6300[/tex]

= $1260 + $573.25

= $1833.25

Got yo bro…. She makes $1833.25

You find 20% of $6300 which is 1260. Then you add that to the $573.25 and get that as your answer

brainliest if it is right

Answers

Answer:

Step-by-step explanation:the answer is 5

Answer:

the answer i got was 5

Step-by-step explanation:

Whoever answers correctly can have brainliest
but answer asap

Answers

Answer:

8 4/25

Step-by-step explanation:

2 2/5 = 12/5

3 2/5 = 17/5

12×17/5×5

204/25 = 8 4/25

Answer:

[tex] 8 \dfrac{4}{25} [/tex]

Step-by-step explanation:

[tex] 2 \dfrac{2}{5} \times 3 \dfrac{2}{5} = [/tex]

[tex] = \dfrac{12}{5} \times \dfrac{17}{5} [/tex]

[tex] = \dfrac{204}{25} [/tex]

[tex] = 8 \dfrac{4}{25} [/tex]

brainliest if it shows how to do all 4

Answers

formula: pi×2×r or pi×d

1. 9m×2×pi= 56.55m

2. 17ft× pi= 53.41 ft

3. 3yd×pi= 9.42 yd

4. 5cm× pi= 15.71cm

What inequality does this number line show?

Answers

Answer:

X<6

Step-by-step explanation:

the unfilled dot shows that there is no equal, and based on the direction, (left), it means less than. Since it starts at 6, less than 6

Answer:

x>6

Step-by-step explanation:

the unfilled dot shows that there is no equal, and based on the direction, (left), it means less than. Since it starts at 6, less than 6

Which numbers are Rational Numbers?

Answers

Answer:

[tex]A.) -67,~ \sqrt{81},~ \dfrac 75[/tex]

Step-by-step explanation:

[tex]\text{A rational number is a number that is expressed as the ratio of two integers.}[/tex]

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