A ball is thrown from an initial height of 4 feet with an initial upward velocity of 33 ft/s. The ball's height h (in feet) after t seconds is given by the following.

h= 4 + 33t - 16t^2
CAN SOMEONE PLEASE PLEASE HELP ME

Find all values of t for which the ball's height is 20 feet.


Round your answer(s) to the nearest hundredth.

Answers

Answer 1

Answer:

Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

Step-by-step explanation:

The question can be answered by either calculation or by graphing.

Calculation:

Set the equation to h = 20 feet and solve with the quadratic equation.

h= 4 + 33t - 16t^2

4 + 33t - 16t^2 = 20

- 16t^2 + 33t + 4 = 20

- 16t^2 + 33t - 16 = 0

I find solutions of 0.779 and 1.28 seconds.  

Graphing:

See the attached graph.

The graph shows solutions of 0.783 and 1.28 seconds.

Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

A Ball Is Thrown From An Initial Height Of 4 Feet With An Initial Upward Velocity Of 33 Ft/s. The Ball's

Related Questions

Select all the statements that describe the distribution of the data

Answers

D because the statement says

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0. 05m 20, where m is the number of minutes used. What are the domain and range of the function C(m)?.

Answers

The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function

[tex]\rm C(m) = 0.05\ m + 20[/tex]

The domain of the function is from zero to infinity because time can never be negative.

Then the range of the function will be

At m = 0, the value of C(m) will be

C(m) = 0.05(0) + 20

C(m) = 20

At m = ∞, the value of C(m) will be

C(m) = 0.05(∞) + 20

C(m) = ∞

Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).

More about the linear system link is given below.

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i dont know what to say anymore just help

Answers

The answer can be written as either -4/17 or -2.532. To solve, convert both to either a fraction or decimals (whichever you’re more comfortable with) and divide as you would with those types of numbers.

3y - 2x = -15 and x = -6y

Answers

Answer:

X=6, Y=-1

Solved using substitution

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

[tex]3y - 2( - 6y) = - 15 [/tex]

Simplify both sides

[tex]3y + 12y = - 15[/tex]

Combine Like terms

[tex]15y = - 15[/tex]

Divide both sides by 15

[tex]y = - 1[/tex]

There are 3 yellow marbles and 4 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble ? Write your answer as a fraction in the simplest form

Answers

Answer:

3/7

Step-by-step explanation:

Because there are three yellow marbles and 7 marbles in all

8 nickels 12 pennies?

Answers

Answer:

52 cents :)

Step-by-step explanation:

Nickel: 5 cents

Penny: 1 cent

5 x 8 = 40

12 x 1 = 12

40 + 12 = 52

Have an amazing day!!!

Please rate and mark brainliest!!

What is the area of ABC?

Answers

Answer:

C 10

Step-by-step explanation:

Heron's formula to calculate the area of a triangle based on 3 sides :

p (half the perimeter) = (a+b+c)/2

area = sqrt(p(p-a)(p-b)(p-c))

AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)

AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)

BC = b = sqrt(2² + 4²) = 2×sqrt(5)

p = 2×sqrt(5) + sqrt(10)

area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =

= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =

= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10

Write a numerical expression to represent the phrase.

the difference of 4 cubed and 25

Answers

Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

Subtract:

4³-25

[If necessary] Evaluate:

64-25

39

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Can someone please help me? I really need this grade and I’m very lost in all of these questions. Thank you.

Answers

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

Steve claims tan(x) - 3
What value of cos(x) supports Steve's claim?
9
41
0
9
40
40
41
41
40

Answers

The value of cos(x) that supports Steve's claim is 1/√10

SOH CAH TOA identity

Given the following trigonometry identity

tan(x) = 3

According to the theorem;

tan x = opposite/adjacent = 3/1

Opposite = 3

Adjacent = 1

Determine the hypotenuse

hyp = √3² + 1²
hyp = √10

Since cos(x) = adj/hyp

cos(x) = 1/√10

Hence the value of cos(x) that supports Steve's claim is 1/√10

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31

Answers

The quarterly payment will be $1,127.86

What is compound interest?

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

To know more about Compound interest, follow

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please help me write quadratic equation given the roots and the leading coefficient

Answers

Answer:

Example Question: f(x) = 2x^2 + 2x - 1


If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)


Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)


To find the vertex, simply imput the axis of symmetry into the given equation.


And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

The ratio of the diameter of a larger circle to the diameter of a smaller circle is 3/2. What ratio represents the ratio of the area of the larger circle to the area of the smaller circle?

Answers

The bots are taking over brainly

Find the area of the rectangle. ​

Answers

Answer:  5.6ft²

Step-by-step explanation:

Area of a rectangle = length x width

                                 = [tex]\frac{4}{5} ft[/tex] (7ft)

                                 = [tex]\frac{28}{5}ft^{2}[/tex]

                                 = 5.6ft²

base radius of 7cm and height of 35cm what is the cylinder's volume

Answers

Answer:

5390 cm³

Step-by-step explanation:

It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.

We must know this formula :

⇒ Volume(Cylinder) = πr²h

We will take the value of π as 22/7

Now substituting the values :

⇒ Volume(Cylinder) = 22/7 × (7)² × 35

⇒ Volume(Cylinder) = 22/7 × 49 × 35

⇒ Volume(Cylinder) = 22 × 7 × 35

⇒ Volume(Cylinder) = 22 × 245

Volume(Cylinder) = 5390

Therefore,

The volume of the cylinder is 5390 cm³

What is the value of k?
60.80

Answers

70.80

...... ................ .......

HELP WILL MARK BRAINLIST AND 5 STARS

Answers

Answer:

10 ft

Step-by-step explanation:

5 1/6 + 4 5/6 = 10

5 + 4 = 9

1/6 + 5/6 = 6/6 = 1

9 + 1 = 10

Answer:

10 feet

Step-by-step explanation:

We are trying to find Madison's height plus Jade's height...

Turn the fractions into improper fractions

So,

5 1/6 = 31/6

4 5/6 = 29/6

31/6 + 29/6 = 10 feet

or

5+4= 10 and 1/6+5/6 = 1

so the answer is 10 feet

PLEASE RATE!! I hope this helps!!!

If you have any questions comment below

The point (-5, 6) is on a circle with a center (-1, 3).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.

Answers

Step-by-step explanation:

The distance from the radius to a point on the circle is equal to the radius. After using the distance formula, we get that the radius is 5.

Using the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2, we get that the equation is:

(x+5)^2 + (y-6)^2 = 25

Which graph shows the line of best fit for the data ?

Answers

The top right one is best fit

The table shows information about town a in illinois and town b in florida. a 3-column table has 2 rows. the first column has entries town a, town b. the second column is labeled population with entries 54,016, question mark. the third column is labeled area (miles squared) with entries 3.89, 0.37. if the two towns have the same population density, which must also be true? town b has the same population as town a. town b has a greater population than town a. town b has a population of approximately 5,138. town b has a population of approximately 37,530.

Answers

Answer:

c. Town B has a population of approximately 5,138.

Step-by-step explanation:

sorry its late

Based on the population density, town B has a population of approximately 5138; option C

What is population density?

Population density is the ratio of the total population of a place and the area of the place.

Population density = population/area

Population density of A = 54016/3.89 = 138885.86 per square miles

Population density of B = 138885.86 per square miles

Population of B = 138885.86 × 0.37 = 5138

Therefore, town B has a population of approximately 5138.

Learn more about population density at: https://brainly.com/question/13902749

#SPJ9

Please Help! Will Give Brainlest!

Answers

Answer:

y = 0

Step-by-step explanation:

Midline = the horizontal center line

Nezzie invests in 300 shares of stock in the fund shown below. name of fund nav offer price lkit mid-cap $16.58 $16.99 nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66

Answers

The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

How to find the net asset value?

The net asset value is the difference of total asset value of the company to the total liabilities value of that company.

Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.

Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.

To find the net asset for this case, divide the profit with the number of shares and the higher price in that.

[tex]\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\[/tex]

Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

Learn more about the net asset value here;

https://brainly.com/question/25646730

The zeros of a polynomial are −1/2 and 3/7. Find the polynomial.

___x²+x− ___

Answers

Answer:

[tex]y=14x^2+x-3[/tex]

Step-by-step explanation:

If the zeros of the polynomial are -1/2 and 3/7 then:

[tex]\implies x=-\dfrac12[/tex]

Add 1/2 to both sides:

[tex]\implies x+\dfrac12=0[/tex]

Multiply both sides by 2:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=\dfrac37[/tex]

Subtract 3/7 from both sides:

[tex]\implies x-\dfrac37=0[/tex]

Multiply both sides by 7:

[tex]\implies 7x-3=0[/tex]

Therefore, the factored form of the polynomial is [tex]y=(2x+1)(7x-3)[/tex]

Expanding the brackets so that the polynomial is in standard form:

[tex]\implies y=14x^2-6x+7x-3[/tex]

[tex]\implies y=14x^2+x-3[/tex]

Expand the binomial (3x^2+2y^3)^4

Answers

Answer:

Hope it helps!!!brainliest pls!!!

if the sum of two consecutive even number is 22 , find the number​

Answers

Let the two consecutive even numbers be x and x+2
According to the question,
x+x+2=22
or,2x+2=22
or,2x=22-2
or,2x=20
or,x=20/2
therefore x=10
now x+2 = 10 + 2 = 12
Therefore the numbers are 10 and 12

The speed of a wave in the ocean in meters per second can be determined using the function f(x) = 3.13[tex]\sqrt{x}[/tex] ,
where x represents the depth in meters of the water under the wave.
a. Graph the function.
b. Identify the domain and range.
c. How fast are the waves in the figure moving over the water?

Answers

Answer:

See below ↓

Step-by-step explanation:

a. In the attachmentb. Domain : x ≥ 0, Range : y ≥ 0c. f(x) = 3.13√10 = 9.89 m/s

a. Graph shown Below.

b.

domain is in x-axisrange is in y-axis

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

[tex]\sf f(x) = 3.13\sqrt{x}[/tex]

the wave is 10 m above the sea

[tex]\sf f(x) = 3.13\sqrt{10}[/tex]

[tex]\sf f(x) = 9.9 \ m/s[/tex]

find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm

Answers

The area of each given square is:

Part A: 1/4 cm²

Part B: 9/47 units²

Part C: 1.89 inches²

Part D: 0.01 meters²

Part E: 12.25 cm²

What is the Area of a Square?

Area of a square, with side length, s, is: A = s².

Part A:

s = 1/2 cm

Area = (1/2)² = 1/4 cm²

Part B:

s = 3/7 units

Area = (3/7)² = 9/47 units²

Part C:

s = 11/8 inches

Area = (11/8)² = 1.89 inches²

Part D:

s = 0.1 meters

Area = (0.1)² = 0.01 meters²

Part E:

s = 3.5 cm

Area = (3.5)² = 12.25 cm²

Learn more about area of a square on:

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HELP ASAP
(will give brainliest)!

Answers

Answer:

42°

Step-by-step explanation:

∠NML = ∠ZYX =88°

Angles in a triangle add up to 180 so ∠ZXY =

180 - (50+88)

180-138

42

∠ZXY = 42°

In how many years will $1,000 yield an interest of
$6000 at 60% simple interest?

Answers

Answer:

  10 years

Step-by-step explanation:

The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.

__

  I = Prt . . . interest earned on principal P at rate r for t years

  6000 = 1000·0.60·t . . . . use the given values for I, P, r

  6000/600 = t = 10 . . . . divide by the coefficient of t

$1000 will yield an interest of $6000 in 10 years.

The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)

Answers

Answer:

271.2 meters

Step-by-step explanation:

See attached image.

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