A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.

Answers

Answer 1

Answer:

time: 0.75 secondsheight: 11 feet

Step-by-step explanation:

A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.

__

A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...

  t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height

The height at that time is ...

  s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2

  s(3/4) = 11 . . . . feet at maximum height

A Ball Is Thrown Directly Upward From Height Of 2 Ft With An Initial Velocity Of 24 Ft/sec. The Function

Related Questions

In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?

Answers

Answer:

2035

Step-by-step explanation:

2010=100g

2020=70

100-70=30

70-30=40

2030=40

Answer:

Somewhere in 2038

Step-by-step explanation:

In 2010 in there was 100g of a certain radioactive isotope

In 2020 now there’s 70g of a certain radioactive isotope

what changed,?

In 10 years they lost 30g of radioactive isotope

Therefore

Year 2030 there will be 50g

Year 2035 there will be 35g

Year 2040 there will be 20g

But we want to get 25g in how many years

1 year takes 3g

2 year takes 6g

3 year takes 9g

4 year takes 12g

But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..

can someone help me with these 2 questions?​

Answers

Answer:

5. 8 months

6. 13 pencils

clara has a positive acceleration for 5 minutes

Answers

Answer:

The answer is C.

Step-by-step explanation:

Help me with this question please!! Show all work

Answers

Answer:

439

Step-by-step explanation:

The denominator simplifies to 106/15

The question becomes

3+1/(106/15)=3+15/106=333/106

Therefore m+n=439

It costs $120 per week in gas to travel by car to work five days a week. what is the daily expense?

Answers

The answer would be $120 (cost for 5 days a week) / 5 (the days of week)

Result: $24 per day
The Answer is : $24 per day

If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?

Answers

(2a) = 5*2 = 10
f(2a)= 10+1/10-1
=11/9

Expand the function.
4
f(x)
=
(2x + 3)4

Answers

Answer:

16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Step-by-step explanation:

Use the binomial expansion theorem to find each term. ∑

∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k

Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4

Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4

Simplify each term.

= 16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Identify what Number property is shown for each statement
1. Commutative property of multiplication
3. Associative property of Addition
4.Associative property of multiplication
5. Symmetric property
6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
10. Zero property of multiplication
11. Additive identity
12. Multiplicative identity






A. 21=21

B. If k=15 and 5 = 3m. Then k = 3m

C. 7+4=4+7

D. 9x0=0

E. 4+0=4

F. (5x3)x4=5x(3x4)

G. 10x3=3x10

H. 19x1=19

I. 8x1/2=1

J. If 11 = y then y = 11

K. (6+2) + 1 = 6 + 2 + 1

L. 2+(2-)=0

Answers

1. Commutative property of multiplication = G. 10x3=3x10

3. Associative property of Addition = K. (6+2) + 1 = 6 + (2 + 1)

4. Associative property of multiplication = F. (5x3)x4=5x(3x4)

5. Symmetric property = J. If 11 = y then y = 11

6. Reflexive property = A. 21=21

7. Transitive property = B. If k=15 and 5 = 3m. Then k = 3m

8. Zero property of multiplication = D. 9x0=0

9. multiplicative inverse = I. 8x1/2=1

10. Zero property of multiplication = L. 2+(2-)=0

11. Additive identity = E. 4+0=4

12. Multiplicative identity = H. 19x1=19

Hope this helps!

Answer:

Step-by-step explanation:

G. 10x3=3x10     1. Commutative property of multiplication

3. Associative property of Addition

F. (5x3)x4=5x(3x4)     4.Associative property of multiplication

J. If 11 = y then y = 11      5. Symmetric property

A. 21=21       6. Reflexive property

7. Transitive property

8. Zero property of multiplication

9. multiplicative inverse

D. 9x0=0    10. Zero property of multiplication

E. 4+0=4     11. Additive identity

H. 19x1=19   12. Multiplicative identity

B. If k=15 and 5 = 3m. Then k = 3m    This statement is not true.

This may be the transitive property, but this was written incorrectly. You have 15 in k = 15, but 5 in 5 = 3m.

C. 7+4=4+7      This is commutative property of addition, which is not listed above

I. 8x1/2=1     This statement is false. Maybe you meant 8 x 1/8 = 1. Then it is 9. Multiplicative inverse.

K. (6+2) + 1 = 6 + 2 + 1 This does not illustrate anything.

Maybe you missed the parentheses on the right side: 6 + (2 + 1). Then it is the associative property of addition.

L. 2+(2-)=0 If this were 2 + (-2) = 0, then it would be Additive Inverse, but I don't see this listed above.

Which expression is equivalent to (-x-16)



-x-16?
X-+16
-X+16
X-16

Answers

Answer:

- x - 16

Step-by-step explanation:

-x-16

Once you get rid of the parenthisis its the same equation.

25 + 100 = ?

Can You Answer​

Answers

[tex] \: [/tex]

[tex] = 125[/tex]

Step-by-step explanation:

[tex]25 + 100 = ?[/tex]

need to add these numbers so we can get the solution

[tex]25 + 100 = 125[/tex]

there you go , we have a solution

hope it helps

[tex] \: [/tex]

what is the slope of (-1,6) and (2,3)?

Answers

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]

[tex] \implies \mathsf{ - 1 }[/tex]

Hence, the slope of the line joining the given points is -1.

Answer:

-1

Step-by-step explanation:

-2 1/4 x -4/5

please help

Answers

Answer:

1.8

Step-by-step explanation:

-2 1/4 x -4/5 = 9/5

= 1 4/5

= 1.8

One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.

Angle GAF = 105°. Work out the value of n. ​

Answers

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

If you can wash seven cars in three hours how many cars can you wash in eight hours

Answers

7/3=x/8

7/3 x 8 = x

18.7=x

Hence you can wash 18.7 cars, which does make sense because you can leave cars Half unwashed, hope this helps :)

Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81

Answers

Answer:

It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is always the same.

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

In a geometric sequence, each consecutive term was multiplied by some factor over the last.

[tex]a_n=ax^n^-^1[/tex]

where aₙ is the nth term, n is the index, and x is the scale factor.

In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.

The formula for this sequence would be:

[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]

Answer:

r = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms , that is

r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃

Then

a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]

a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]

a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]

Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]

if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?

Answers

Answer:

2.50

Step-by-step explanation:

If 4= $5.00

then divided 5.00 by 4=1.25

so 1 = 1.25

1.25x2=2.50

Therefore 2 tastykake snack cakes = $2.50

Answer:

The answer is 2.5

Step-by-step explanation:

5 divided by 4 = 1.25

1.25 times 2 = 2.5

brainliest :)

Determine the equation of the circle graphed below

Answers

Answer:

(x-3)^2+(y-5)^2=3^2

Step-by-step explanation:

All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220

Answers

Answer:

1225

350/2=175

175 x 7 = 1225

What is the value of the rational expression 6-x/x+5 when x = 2?

4/7
4/5
8/7
8/5

Answers

Answer:

4/7

Step-by-step explanation:

6 -2/2+5 = 4/7

thats it simple

Answer: 10

Step-by-step explanation:

6-x/x+5

6-(2)/(2)+5

Order of Operations

6-1+5

5+5

10

Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?

Answers

Answer:

7 students had Snickers

Step-by-step explanation:

Nestle Crunches - nSnickers - s

System of equations according to given:

30n + 50s = 680     (converted $6.80 into 680¢)n = s + 4

Substitute n into first equation and solve for s:

30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7

Nestle crunches be xSnickers be y

Equations are

0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]

EQUATION(2)× 30

[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]

Subtracting (1) and (3)

[tex]\\ \sf\longmapsto 80y=560[/tex]

[tex]\\ \sf\longmapsto y=7[/tex]

What equation represents this sentence?

0.8 increased by a number is 4.5.


4.5 + n = 0.8

0.8n = 4.5

0.8 + n = 4.5

4.5n = 0.8

hurry ill give brainliest

Answers

Answer:

It is 0.8 + n = 4.5 that is the right answer

Answer: 0.8 plus n equals 4.5

Step-by-step explanation:

the value of √-3+√3+8√7+4√3

Answers

I thought this was undefined…

pls answer 4th and 5th question . i do not understand

Answers

Step-by-step explanation:

4) total length of the journey is

1st hr = 74km 224m = 74224m

2nd hr = 74km 224m = 74224m

3rd hr = 58km 56m = 58056m

4th hr = 62km 8m = 62008 m

total distance (adding all) = 268512m = 268km 512m .

5) total weight = 22kg 200g = 22200g

mangoes weight = 14kg 750g = 14750g

apples weight = 5kg 80g = 5080g

total weight - fruits weight

(22200-14750-5080)g

= 2370g

= 2kg 370g.

hope this helps you.

What is the slope of the graph of the given line?

Answers

Answer:

slop = 2/3

Step-by-step explanation:

slope = rise/run

Start at the lower left point (-2, -1).

We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).

First we go up 4. The rise is 4.

Then we go right 6. The run is 6.

slope = m = rise/run = 4/6 = 2/3

slope = 2/3

An item priced at $500 is bought on hire purchase, where $200 deposit is required, along with 12 monthly instalments of $40. How much would be saved if bought with cash?

Answers

$180 dollars would be saved. The 12 monthly investments of $40 dollars would be enough to pay for the item alone. The second option totals $680 while the first is $500 as stated.

What are the zeros of the function
f(x)=x^2+2x-8

Answers

Answer:

-4, 2    (-4,0) (2,0)

Step-by-step explanation:

factoring in binomials

[tex](x+4)(x-2)=x^{2} +2x-8[/tex]

The zeros:

[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]

[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]

I hope this help you

What is the slope of the line that passes through the points (-3,3) and (-3, 13)?

Write your answer in simplest form.

Answers

Answer:

ΔY = 10

Step-by-step explanation:

There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?

Answers

Answer:

32

Step-by-step explanation:

Trust me its hard to explain.

PLZZZ HELP ASAP I NEED IT FAST!​

Answers

Answer:

5.4

Step-by-step explanation:

Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)

For this case, I'm going to take 4 and 7.2

Step 2: Divide the length you took from PQRS by the length you took from ABCD.

[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex]  (1.8 is the scale factor (SF))

Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8

[tex]3 * 1.8[/tex] [tex]5.4[/tex]

Therefore, x = 5.4.

Answer:

5.4

Step-by-step explanation:

Look at photo for explanation

plz help will mark as brainliest​

Answers

Answer:

so the answer is = 210 beacuse  u have multiply 5 times 6 times 7

Step-by-step explanation:

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

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