A softball is thrown into the air with an initial velocity of 5 meters per second from a height of 9 meters.

The function below models the distance of the softball from the ground in meters after t seconds.

How many seconds does it take for the softball to hit the ground?


h(t)=4.9t^2+5t+9

Answers

Answer 1

Answer:

0.94secs

Step-by-step explanation:

Given the function below that models the distance of the softball from the ground in meters after t seconds expressed as;

h(t)=-4.9t^2+5t+9

The ball hits the ground when the height h(t) is zero

Substitute h(t) = 0 into the expression and calculate the value of t;

0 = -4.9t²+5t+9

Multiply through by 10;

0 = 49t²+50t+90

-49t²+50t+90 = 0

Factorize;

t = -50 ±√50²-4(49)(90)/2(49)

t = -50±√2500+17640/98

t = -50±√20140/98

t = -50+141.92/98

t = 91.92/98

t = 0.94 secs

Hence it takes 0.94secs for the softball to hit the ground


Related Questions

find size of angle BAC

Answers

Answer:

i think the answer is 31°c

It wants me to make it long but the question there Multiply: 3 * 2 2/5

Answers

Answer:

Exact Form:

36 /5

Decimal Form:

7.2

Mixed Number Form:

7  1/5

Step-by-step explanation:

3/4x-5 = x

Please show working .

Answers

3-5=4x

-2=4x

Divide both sides by 4

-2/4=4x/4

X= -1/2

free brainliest for correct answer, just giving away points

Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family?

Answers

Answer: 7

This is kind of a trick question. Each daughter has one brother- the same brother.

Answer:

14 people

Step-by-step explanation:

6(2) = 12

12 + 2= 14

4x - 5y = 1
x= -6
Solve for x and y

Answers

Step-by-step explanation:

help pls! answer all three questions for brainlist!! (15 points)

Answers

Answer:

#1. Peng spent $48,918.

#2. The farmer had $10,660 at first.

#3. 2,160 minutes

Step-by-step explanation:

#1. (26 × $1,334) + (19 × $749)= $48,918

#2. 26 × 410 + 162= $10,660

#3. 2 ×(9 + 6 + 9 + 6)×12 ×3=  2×30×12×3= 2× 360 × 3= 720 × 3= 2,160 minutes

Answer:

For the first one: [tex](26*1334)dollars+(19*749)dollars=\\34684dollars+14231dollars=48915dollars[/tex] this is the expression of how much she spendsFor the second one:[tex]26employee*410dollars/employee=10660dollars\\10660dollars+162dollars=10822dollars[/tex] This was the original amount he hadFor the third one:So rectangles have two pairs of equal sides, 2 rectangles of the same size means their perimeter is [tex]2*(9feet+9feet+6feet+6feet)=60feet[/tex] Change to inches [tex]1foot=12inches,so,60feet=720inches[/tex] She takes 3 mins per inch then[tex]1inch=3minutes\\720inches=(3minutes)*720=2160minutes[/tex] Is how long she would take

Which expression represents 7 times the sum of a number and 8?

Answers

Answer:

7(x+8) or 7x+56

Step-by-step explanation:

I need help plz quickly!!:)

Answers

Answer:

the first option (2x+3y=-6)

Step-by-step explanation:

help find the missing side length????

Answers

Answer:

24

Step-by-step explanation:

LHS and RHS have same length so 66 - 42 = 24

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Eric earns $390 during a 30-hour week. How much does he earn per hour?

Answers

Answer:

$13

Step-by-step explanation:

We find the unit rate by dividing the money earned by the hours

$390/30

= $13

He earns $13 per hour

Answer:

I think its 13...

Step-by-step explanation:

Choose the statement that describes a way to solve the equation x – 23 = 18.


1. Subtract 23 from both sides of the equation.


2. Subtract 18 from both sides of the equation.


3. Divide both sides of the equation by 23.


4. Add 23 to both sides of the equation.

Answers

The correct answer is number 4

Rita plans to make a call using a calling card. For each call, Rita has two options:


1. Pay $0.49, plus an additional $0.019 per minute.


2. Pay $0.059 per minute.


She predicts that her call will be minutes long. Which inequality represents the statement, "Rita would save money using the second option"?

Answers

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

How to determine the inequality that represents the statement?

From the question, we have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x

Hence, the inequality is 0.059x < 0.49 + 0.019x

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SI 12 PIES DE UN POSTE DE 60 PIES ESTAN DEBAJO DE LA TIERRA ¿ QUE PORCENTAJE DEL POSTE ESTA POR ENCIMA DEL SUELO?

Answers

Answer:

20%

Step-by-step explanation:

primero, hagamos una fracción con los números que tenemos:

12/60 = x/100

cruzar multiplicar: 12 * 100 = 60 * x

multiplicar: 1200 = 60x

divide cada lado por 60: 20 = x

la respuesta es x = 20, o 20%

Espero que esto haya ayudado, marque Brainliest, ¡gracias!

f(x)=3x+7, find f (3)=

Answers

Answer:

Step-by-step explanation:

F(3) = 3(3)+7 =16

(3x +8) - 6(2.5x - 3)

Answers

If you’re looking to simply the expression, the answer is -12x+26

*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check.
Baylee gets 3 stickers each time she cleans her room. She wants to earn at least 15 stickers in April. How many times does she need to clean her room in April?

Answers

Answer:

3x ≥ 15At least 5 times

Step-by-step explanation:

Let the number of cleaning be x

Then required inequality is:

3x ≥ 15

Solving:

3x ≥ 15x ≥ 5

I am less than 10 l am not a multiple of 2 l am a composite number.

Answers

Answer:

9 is the answer

Step-by-step explanation:

if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9  but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer

The number which is less than 10,  not a multiple of 2, and is a composite number, is 9.

What is multiplication?

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

I am less than 10 l am not a multiple of 2 l am a composite number,

The numbers which are less than ten are,

9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The numbers which are not the multiple of 2 are shown below,

9, 7, 5, 3, 1, 0

The numbers which are composite are shown below,

9 = 3 × 3

Thus, The number is 9.

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John has 30 friends. Then amount of male friends is 4 more than the number of female friends. Which system can be used to find the number of male and female friends?

Answers

Answer:

The required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

Step-by-step explanation:

First of all, the variables have to be selected to represent the quantities.

Let m be the number of male friends and let f be the number of female friends.

Then according to first statement "John has 30 friends"

[tex]m+f = 30\ \ \ \ Eqn\ 1[/tex]

And according to second statement "amount of male friends is 4 more than the number of female friends."

[tex]m = f+4\ \ \ \ Eqn\ 2[/tex]

Hence the required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

The thrift store is selling their old DVDs. When the DVDs first came out, they sold for $19. They have now been marked down by 75%.

A stack of D V D's is shown. They are marked seventy-five percent off.

What is the discounted price of a DVD?

Enter the correct answer in the box.

Answers

Answer:

4.75

Step-by-step explanation:

original price (100%) → $19

discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75

Answer:

Step-by-step explanation:

Here's what we have to do:

1. 19 x 0.75

= 14.25

2. 19 - 14.25

= 4.75

3. 4.75 + 14.25

= $19

The Discount is $4.75, and the sale price is $19.00.

This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check.  I redid the equation three times. I am seriously confused. Hope this answer helped!

If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.  

which of the following shows a proportional relationship

Answers

Answer:

h

Step-by-step explanation:

9514 1404 393

Answer:

  c)  H

Step-by-step explanation:

Consider the ratios of y to x:

  F: 4/2 ≠ 13/5

  G: 1/2 ≠ -2/5

  H: 10/2 = 25/5 = 30/6 = 50/10 . . . . a proportional relationship

  J: 3/2 ≠ 6/5

Table H shows a proportional relationship.

100 Points on the line. Also will mark brainliest if you get it right.

Answers

Answer:

1. D

2. A.

3. D.

|3x| = 9
Variable please.

Answers

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

expand and simplify (2x+1)(3x+6)

Answers

Answer:

Step-by-step explanation:

6x^2 + 12x + 3x + 6

6x^2 + 15x + 6

Answer:

6x² + 15x + 6

Step-by-step explanation:

Use FOIL:

Multiply the first terms:

(2x)(3x) = 6x²

Multiply 2x and 6:

(2x)(6) = 12x

Multiply 1 and 3x:

(1)(3x) = 3x

Multiply 1 and 6:

(1)(6) = 6

Then, add these all together:

6x² + 12x + 3x + 6

Add like terms:

6x² + 15x + 6 is the simplified expression

It costs Rs 2200 to paint the inner curved surface of a cylinderical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find: (i) radius of the base (ii) inner curved surface area of the vessel (iii)capacity of the vessel (in litres).

Answers

Answer:

1)110m^2

2)1.75m

3)96.25m^2

Step-by-step explanation:

Rate of painting= The cost to paint it /

inner curved surface area of the vessel

20m^2=(Rs 2200 /inner curved surface area of the vessel)

If we make inner curved surface area of the vessel subject of the formula,

inner curved surface area of the vessel= =(Rs 2200/20)

= 110m^2

2)cost surface area of a cylinder can be calculated using expression below

(2πrh,) then the values was calculated in question 1 as 110m^2

Then from (2πrh=110) we can make "r" subject of the formula

r= 110/(2πh). h=10m deep

r=110/(2×3.14×10)

r= 1.75m

3)(iii)capacity of the vessel (in litres

The capacity of the vessel can be regarded as the volume which equals to πr^2h

From question 2 r=1.75m, and h=10m

Then

πr^2h= 3.142×(1.75)^2 ×10

=96.25m^2

Hence the capacity is 96.25m^2

How do you work this out?????

Answers

Answer: 3 x 3 I think

Step-by-step explanation:

Answer:

3x^2

Step-by-step explanation:

base times height

you do 3x times x to find area

x(3x)

3x^2

A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?

Answers

Answer:

.51

Step-by-step explanation:

P(F)=.55, P(S)= .4

P(F ∩ not S)= .55×.6=.33

P(S ∩ not F)= .4×.45=.18

.33+.18=.51

Answer:

The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

Step-by-step explanation:

Given information:

A company is considering purchasing materials:

The probability of purchasing mineral rights

Form the first mountain [tex]p_1=0.55\\[/tex]

From the second mountain [tex]p_2=0.4[/tex]

As the decision is made independently

So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]

P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]

Similarly, the value of

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]

Hence , [tex]P=0.33+0.18[/tex]

[tex]P=0.51[/tex]

Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

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Does anyone know how to solve this inequality algebraic-ally:

2x^2 - 5x - 3<= 0


Thank you :)

Answers

Answer:

-1/2 ≤ x ≤ 3

Step-by-step explanation:

hope that helps

Answer:

[-1/2,3]

Explanation:

Solve the Inequality by finding the roots and creating test intervals.

Note, the answer was provided in Intervals Notation form.

Mary has $65,000 to invest into two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3,520 in total interest.

Answers

Answer:

Step-by-step explanation:

Formula for calculating interest is expressed as;

I = PRT/100

P is principal

R is the rate

T is the time

For first account

I = P(1)(6)/100

I1 = 0.06P1

For the second bank!

I2 =>P2(1)(4)/100

I2 = 0.04P2

If the total interest is $3520, then

I1+I2 = 3520

0.06P1+0.04P2 = 3520.... 1

If the Amount invested = $65000

P1+P2 =65000..... 2

Solve. 1 and 2 simultaneously

Eqn 2 × 0.06

0.06P1+0.06P2 = 3900.... 3

Subtract 1 from 3;

0.04P2-0.06P2 = 3520-3900

-0.02P2 = -380

P2 = 380/0.02

P2 = $19000

Get p1;

P1 = 65000-P2

P1 = 65000-19000

P1 = $46000

Hence $46000 was invested in the first account and $19000 in the second

Need help.... please...

Answers

Answer:

The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

Step-by-step explanation:

The zeros of the polynomial are: -2,4,0

We can write them as

x=-2, x=4, x=0

or

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

Multiplying all terms:

[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]

So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

Evaluate the expression when g=4 and h=38.

h-3g

Answers

Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

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