A ball is thrown from an intial height of 5 feet with an intial upward velocity of 17 ft/s. The ball's height h in feet after t seconds is given by the following.

h=5+17t-16t^2

Find all values of t for which the ball's height is 9 feet.
Round your answer(s) to the nearest hundredth.

Answers

Answer 1

Answer:

-16t²+17t+7=11

==>16t²-17t+4=0

Δ=17²-4*4*16=33

==>t= (17-√33)/32=0.351732... (s)≈0.35 (s)

or t=(17+√33)/32=0.710767 (s)≈0.71 (s)

Step-by-step explanation:

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Related Questions

Please help me! Please!!!!

Answers

Answer:

(2)

Step-by-step explanation:

exponential. Additional info: usually this function has a coordinate (0;y) and it is a curve.

Read these sentences from the text.
Alex is not a smoker, but he lives near St. Louis, named the worst place in the U.S. for asthma sufferers by the Asthma and Allergy Foundation of America in 2009. The group rated St. Louis low for having poor air quality and because it doesn’t have as many laws as other places keeping indoor areas smoke free.

Based on this evidence, what can you conclude about asthma sufferers in St. Louis?
A. St. Louis is the only city in the United States where asthma is common.
B. Poor air quality and indoor smoking can cause problems for asthma sufferers.
C. Poor air quality and indoor smoking have no effect on asthma sufferers.
D. There are more asthma sufferers in St. Louis than any other city in America.

Answers

Answer: Hi! I would say it is D because the other answers really don’t make sense. And the passages said that they were rated low for air quality.

Step-by-step explanation:

I hope this helps!

The cube root of r varies inversely with the square of s. Which two equations model this relationship?​

Answers

Step-by-step explanation:

³√r =(k×1/s²)

³√r = k/s²

The equation given in the option which shows the relationship given in the question is  ∛r = k/s²and  [tex]\rm s^2 r^{1/3} = k[/tex], the correct options are B and C.

What is Inverse Variation?

When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.

The statement for modelling the relation is

The cube root of r varies inversely with the square of s.

∛r ∝ (1/s²)

∛r = k/s²

Here k is the proportionality constant

The equations which model this relationship is given by ∛r = k/s²and  [tex]\rm s^2 r^{1/3} = k[/tex].

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Complete the function table.
Function: f(x) = 6x + 1
х
f(x)
4
31
6
43
ASAP

Answers

Basically you just plug in the number for x. So 6 x 4 = 24 and 24 + 1 = 25

Using the same process you get

31=187
6=37
43=259

use the figure to find the measures of the numbered angles

Answers

1. 112 degrees
2. 68 degrees

Sarah deposited $450 into an account that paid 2.1% in simple interest per year. If she made no additional deposits or withdrawals, how much interest did she earn after 5 year?
A $47.25
B $378.00
C $497.25
D $4.75

Answers

Answer:

B

Step-by-step explanation:

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Write and solve an equation for each situation. Be sure to define your variable.

Herman rents a bike for a set fee of $5 and a rate of $3 an hour. Jan rents a bike for $17. How many hours did she rent a bike for?

Jayson has 97 tickets to give away. He gave 4 tickets to each student in his class and has one leftover.
How many students in his class?

Answers

Answer:

4 ; 24

Step-by-step explanation:

A.)

Fixed fee, x = $5

Hourly rate, y = $3

Total rent fee, t= $17

Number of rent hours :

$17 = $5 + $3y

17 - 5 = 3y

12 = 3y

y = 12/3

y = 4 hours

B.)

Total Number of tickets , t = 97

Tickets per student, r = 4

Tickets left = 1

Number of students in class:

(97 - 1) / 4

96 /4

= 24 students


Dan was thinking of a number. Dan divides by 5, then adds 3 to get an answer of 3. What was
the original number?

Answers

Answer:

The original number was: x = 0

Step-by-step explanation:

Let 'x' be the number

Given that:

Dan first divides it by 5

x/5

Then adds 3

x/5 + 3

To get an answer of 3

x/5 + 3 = 3

now solving the expression

[tex]\frac{x}{5}+3=3[/tex]

Subtract 3 from both sides

[tex]\frac{x}{5}+3-3=3-3[/tex]

Simplify

[tex]\frac{x}{5}=0[/tex]

Multiply both sides by 5

[tex]\frac{5x}{5}=0\cdot \:5[/tex]

Simplify

[tex]x=0[/tex]

Therefore, the original number was: x = 0

Which system of inequalities is shown?
A y<x y>4 B y>x y​

Answers

Given:

The graph of the system of inequalities.

To find:

The system of inequalities.

Solution:

In the given graph, we have two dotted boundary lines.

First boundary line is passes through (-1,1), (0,0) and (1,1), so it represents a proportional relationship and the equation of this boundary line is

[tex]y=x[/tex]

Second boundary line is a horizontal line passes through the point (0,4). So, the equation of this boundary line is

[tex]y=4[/tex]

Shaded portion lies below these boundary line and these boundary lines are dotted. So, the sign of inequity must be <.

The system of inequalities is

[tex]y<x[/tex]

[tex]y<4[/tex]

Therefore, the correct option is D.

True of False? The line of best fit can only represent data that has a linear association?

Answers

Answer:

True

Step-by-step explanation:

PLEASEEEEEEEEEEEEE HELPPPPPPPPPP Mon wants to make 5 lbs of sugar syrup. How much water and how much sugar does he need to make 25% syrup?

Answers

Answer:

1.25 IB of sugar, 3.75 IB of water

Answer:

1.25lb of sugar , 3.75lb of water

Step-by-step explanation:

just trust me on this one :)

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.

x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5

Answers

Answer:

[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]  [tex]\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}[/tex]

Generally the echelon reduction is mathematically applied as

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Add -2 times the 1st row to the 2nd row

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Multiply the 2nd row by -1/8  

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]

Add -1 times the 2nd row to the 3rd row

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}[/tex]

Multiply the 3rd row by -8/41

[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

[tex]\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Add -3 times the 2nd row to the 1st row

[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]

Your dinner costs $21.50 before tax. If you used a fifteen percent off coupon
and then you are charged seven percent sales tax, what is your balance with tax?

Answers

Answer:

$19.55

Step-by-step explanation:

Discount = 15% of 21.50

              = 0.15 * 21.50

              =  3.225

             = $ 3.23

Balance need pay = 21.50 - 3.23 = $ 18.27

Tax = 7% of 18.27

     = 0.07 * 18.27

    = $1.28

Balance with tax = 18.27 + 1.28  = $ 19.55

What is the same product of 3x2/6?

Answers

Answer:

6/6=1

Step-by-step explanation:

3x2 is 6

so then 6/6 would equal 1

Answer:

= 1

Step-by-step explanation:

(3*2)/6 = 1

IF YOU STILL DONT KNOW

( 3 times 2 ) divde 6

6 divde 6 = 1

If p and q are integers, then this problem is true: -( -p/-q) True or False?

Answers

Answer:

I think true not sure..

Step-by-step explanation:

♡ ∩_∩

(„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

Fernando borrowed $38 to go to the country fair. He won $42 at the horse races, and then spent $12 trying to win a large stuffed animal. What is his financial situation now??

Answers

$68

Add 38 with 42 then subtract by 12 to find the total sum.

$38+$42=$80

$80-12=$68

Total: $68.

Polygon ABCD has the following vertices:
Al-5, 4), B(1,4), C(6,-4), and D(-5, -4)
Calculate the area of the polygon.

a.48 units squared
b. 53 units squared
c. 68 units squared
d. 88 units squared

Answers

Step-by-step explanation:

By the Shoelace method,

Area of quadrilateral = 0.5|(-5)(4) + (1)(-4) + (6)(-4) + (-5)(4) - (1)(4) - (6)(4) - (-5)(-4) - (-5)(-4)|

= 0.5|(-20 - 4 - 24 - 20 - 4 - 24 - 20 - 20)|

= 0.5|(-136)|

= 0.5 * 136 = 68 units squared. (C)

Answer:

68 units squared C

Step-by-step explanation:

I took the test and I got a 100% with this answer.

In the coordinate plane, which of the following functions dilates by a factor of 3
about the point (9, 6)?
A. (, ) = (3 + 9, 3 +6)
B. (, ) = (3( + 9), 3( + 6))
C. (, ) = (9+ 3( − 9), 6 + 3( −6))
D. (, ) = (9+ 3(9− ), 6+ 3(6 − ))

Answers

Answer: the answer is D

Step-by-step explanation:I had that question on a quiz

The points after dilation is (27, 18).

What is Dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

Enlargements are dilations that result in a larger image. Reduction is the name for a dilatation that shrinks the image. The initial figure is stretched or contracted by a dilatation.

Given:

Scale Factor= 3

Points (9, 6).

If the coordinates is dilated by factor 3.

Then, (9, 6).

= (9(3), 6(3)).

= (27, 18)

Hence, the points after dilation is (27, 18).

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A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest

Answers

Answer:

Step-by-step explanation:

Speed=Distance/Time

1.5/78=0.01923076923

Answer rounded=0.02/0.019

If x=9 and y=−3, evaluate the following expression:20−5y+2x

Answers

Answer:

53

Step-by-step explanation:

20-5y+2x

20-5(-3)+2(9)

20--15+18

cancel out the negative signs

20+15+18

=53

Answer:

The answer is 53.

Explanation:

x = 9

y = -3

[tex]20 - 5y + 2x \\ 20 - 5( - 3) + 2(9) \\ 20 + 15 + 18 \\ 35 + 18 \\ 53[/tex]

Lucas bought square tiles to retile the
lobby of Town Travel Agency. Each
side of a tile is 11 inches long. If Lucas
uses the formula for the area of a
square, A = s2, how many square
inches will each tile cover?
00 ft.?

Answers

Answer:

121 in² ; 0.840 ft²

Step-by-step explanation:

Given that:

Side length of square tile, s = 11 inches

The Area of a square = a² ;

Where a = side length

Hence, we Can get the area of the square tile using the area of square formula :

Area of square tile = 11² = 121 in²

Area in feets :

1 ft² = 144 in²

x = 121 in²

144 x = 121

x = 121 / 144

x = 0.840 ft²

A 2-kilogram bag of birdseed costs $8.54. What is the unit price?

Answers

Answer:

$8.54÷2 kg = $4.27 for 1 kg of birdseed

No rush but please help

Answers

Answer:

C. .

Irrational numbers are those, which are non-recurring and non-terminating.

I hope it will be useful.

Answer:

C

Step-by-step explanation:

Based on the table, which city has the highest temperature in January?

City January
Temperature (°C)
New Orleans 7
Philadelphia -4
Phoenix 8
Rochester -8
San Antonio 5




A.
New Orleans
B.
Philadelphia
C.
Phoenix
D.
Rochester
E.
San Antonio

Answers

Answer:it’s Phoenix

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Scarlett can make 7 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can she make with 9 cups of flour?

Answers

Answer:

63=x*y

Step-by-step explanation:*

y = 7 x=1. so 9 will muiltiply 7 until there is 9 7s then you got the answer

Fractions closer to 1 than to 0

Answers

Answer:

Fractions that are above 1/2 or 0.5

Step-by-step explanation:

Enter the value of n so that the expression (3y+1)+(2y+8) is equivalent to (ny+9)

Answers

it will be equivalent to (5y+9)

hope i was able to help and i wasn’t to late.

The value of n is 5 + 8/y for that expressions (3y + 1) + (2y + 8) and (ny + 9) are equivalent.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

The given expressions are (3y + 1) + (2y + 8) and (ny + 9)

Also, both the expressions are equivalent to each other.

To find the value of n, equate expressions  (3y + 1) + (2y + 8) and (ny + 9),

3y + 1 + 2y + 8 = n y + 1

5y + 9 = n y + 1

5y + 9 - 1 = n y

5y + 8 = n y

n = (5y + 8) / y

n = 5 + 8/y

The required value of n is 5 + 8/y.

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Plz help me I need this

Answers

Answer:

D. 20 cm²

Step-by-step explanation:

The second object is 2 times bigger than the first object. To solve this, take the original area and multiply it by 2:

10 · 2 = 20

Therefore, the second object has an area of 20 cm².

7696 divided by 52 with remainder

Answers

Answer:148 with no remainder

Step-by-step explanation:

The number 7696 is called the numerator or dividend, and the number 52 is called the denominator or divisor.

The quotient of 7696 and 52, the ratio of 7696 and 52, as well as the fraction of 7696 and 52 all mean (almost) the same:

7696 divided by 52, often written as 7696/52 is 148 with not decimals meaning that there is no remainder

Hope you have a wonderful day and may your dreams come true!

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When 7696 divided by 52 then quotient is 148 and remainder is 0.

When you divide 7696 by 52, the quotient is the whole number result of the division, and the remainder is the amount left over.

Let's perform the division:

      148 (quotient)

    ______________

52 | 7696

        7696

       -----

        000

The quotient is 148, and the remainder is 0.

So, 7696 divided by 52 is equal to 148 with a remainder of 0.

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if Leah makes $9.50 per hour and she works 36 hours this week, how much will her paycheck be before taxes?

Answers

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Step-by-step explanation:

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