A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2

Find all values of t which the balls height is 23 feet.

Answers

Answer 1

Answer:

See below ↓↓

Step-by-step explanation:

Given function

h = 3 + 44t - 16t²

We need to calculate the possible values of t at h = 23 feet.

Subsituting h = 23,

23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0

Solving for 't' using quadratic formula

t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8

Solutions

t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 seconds

Answer 2

Answer:

t = 2.175 s (3 dp)

t = 0.575 s (3 dp)

Step-by-step explanation:

Given equation: [tex]h=3+44t-16t^2[/tex]

To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:

[tex]\implies h=23[/tex]

[tex]\implies 3+44t-16t^2=23[/tex]

[tex]\implies 16t^2-44t-3+23=0[/tex]

[tex]\implies 16t^2-44t+20=0[/tex]

Factor out common term 4:

[tex]\implies 4(4t^2-11t+5)=0[/tex]

Divide both sides by 4:

[tex]\implies 4t^2-11t+5=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Use the quadratic formula to solve for t:

[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]

[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]

Therefore,

t = 2.175 s (3 dp)t = 0.575 s (3 dp)

Related Questions

GIVING BRAINLIEST
What is the measure of angle x?

40 degrees
80 degrees
130 degrees
140 degrees

Answers

Answer:

140 degrees

Step-by-step explanation:

Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.

To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.

[tex]180-40=140[/tex]

Therefore, the answer is 140 degrees.

Answer:

my test said 140

Step-by-step explanation:

If your net pay, after a $142.00 automatic withdrawal, is $2,665.00, what percent of your net pay was withdrawn?

Answers

Answer:

Net pay = $142 + $2665 = $2807

Percent withdrawn = (withdrawal ÷ net pay) × 100%

                               = (142 ÷ 2807) × 100%

                               = 5.058781617...%

                               = 5.1% (nearest tenth)

A rectangle has an area of 20 cm^2. What will the area be if the rectangle tripled in size?

Answers

Answer:

  180 cm^2

Step-by-step explanation:

For similar figures the ratio of areas is the square of the ratio of linear dimensions.

We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.

  Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size

In the U.S. it is implied that two-year schools (community colleges) are “a bargain” compared to 4-year institutions. Complete a two-sample test. Test that the “average cost of state universities is greater than the average cost of community colleges”. To perform this test, you will use the average cost of in-state tuition from your sample data of state universities. ($10,472) You will also need to find the mean and standard deviation from the random sample of community colleges provided below. To find the mean and standard deviation for the community colleges data, plug the values into L1 and run 1-varstats. The mean is x-bar and make sure to use sample standard deviation, Sx. Assume variances are NOT equal as is done in the example on page 430. Complete a two-sample test at α = 0.05. WRITE AN INTERPRETATION OF YOUR RESULT. use either the p-value decision rule or rejection region. show all work by hand (If you establish in the hypothesis that 1 is the universities and 2 is community colleges make sure that your x-bar 1 and x-bar 2 also reflect those same categories. ) In hypothesis tests, I am looking for the correct conditions, hypotheses, model of either decision rule (draw out the normal distribution with correct shading of either p-value or rejection region), correct formula for the standardized test statistic with all values plugged in correctly, correct decision based on your p-value or standardized test statistic, and correct interpretation of your findings.
In-State Tuition

Amarillo College

2,538.00

Blue Ridge Community College

4,098.00

Bunker Hill Community College

3,384.00

Camden County College

1,650.00

Delta College

2,400.00

Eastern Wyoming College

2,280.00

Ellsworth Community College

3,960.00

Finger Lakes Community College

3,894.00

Granite State College

6,810.00

Massachusetts Bay Community College

3,624.00

Rock Valley College

2,970.00

San Antonio College

3,632.00

Answers

Answer: I got the same question, did u get the answer?

Step-by-step explanation:

Which statement is not true?
A. I7I = -7
B. I7I = 7
C. I5I= 5
D. I-5I = 5​

Answers

Answer:

a

Step-by-step explanation:

absolute value means the distance from 0 and it has to be a positive number so the answer has to be a


There is a juice bar at the gym. Fiona has a gift card that has a balance of $30. Each time she
buys a bottle of her favorite juice, $3 is deducted from her card. Chester also has a gift card.
The equation y=20 - 5x represents y, the balance, in dollars, left on his card after he has
bought x of his favorite bottles of juice.
Who had a greater initial amount of money on their card, Fiona or Chester? Whose balance
decreases at a faster rate every time he or she buys his or her favorite juice? Use the space
below for your work. Explain.

Answers

Answer:

y=mx+b. slopes.

Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.

Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.

All of the following are TRUE about CPR/AED EXCEPT:
A. CPR is used in emergency situations like a heart attack and near drowning.
B. CPR combines chest compressions and rescue breathing to increase the chance of survival.
C. CPR is guaranteed to keep a person alive until medical personnel arrive.
D. The use of an AED helps to restart the heart's natural rhythm.

Answers

Answer:

All are true except C. CPR is not a guarantee to keep someone alive till help arrives. Unfortunately some people die before help gets there regardless of the CPR.

Identify the vertex of this quadratic function

Answers

Answer:

Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.

Answer:

Your answer is -2,-3

Step-by-step explanation:

Are constant functions periodic? The reason I ask this is because a function is periodic if it has a period but in a constant function the period could be infinitely small.

Answers

Answer:

A function f:R→R is periodic if there exists some number t>0 such that

f(x)=f(x+t)

A constant function is periodic since you can take t=1,t=2, etc. (Hint: Hover over the tag "periodic-functions". What do you see?)

The fundamental period of f is the smallest of such t's. Since t cannot be 0, you are looking for the minimum of (0,∞), which does not exist.

Step-by-step explanation:

Select all of the expressions that have a value of 18.
A) 324 ÷ 18
B) 468 ÷ 26
C) 724 ÷ 40
D) 1,062 ÷ 59
E) 1,071 ÷ 60

Pls show work!!

Answers

Answer:

A,B,C

Step-by-step explanation:

Just divide them hope this helps x

Mr. Alden Richards is planning to build a gazeboo whose base is a regular octadecagon. At what angle should he cut the lumber to frame the base.

Answers

A regular octagon consists of 8 interior and 8 exterior angles of which the respective sides and angles are equal. The exterior angles total 360 deg. So 360/8 = 45 and if you are cutting wood to form a 45 deg angle each cut must be 1/2 or 22.5 degrees. This will be added or subtracted from each side of the stock. Your table saw normally is set at 90 degrees, or perpendicular to the top. Subtract the 22.5 degrees from 90, and you get 67.5 degrees.
Answer: Set your blade tilt to 67.5 degrees.

What was the most number of minutes someone took to eat breakfast? (type number only) *
.
0 1 2 3 4 5 6 7 8 9 10 11 12
Minutes To Eat Breakfast

Answers

I think it 10 minutes

i need help with this i will mark BRAINLIEST and give alot of points

Answers

Answer:

Below

Step-by-step explanation:

Diameter = 2r (r is radius) so the diameter is 40 inches

Circumference= 2pi r= 40pi or 125.663

Area= pi r^2= pi(20)^2= 400 pi pr 1256.637

Answer:

Diameter: 40 inches

Circumference: 40π, or ~125.66 inches

Area: 400π, or ~1256.64 inches

Step-by-step explanation:

Diameter is twice the radius, so 20×2 = 40 inches.

Circumference formula is C = 2πr, so plugging everything in, C = 2π×20,

and simplify, C = 40π, or C ≈ 125.66 inches.

Area formula is A = πr², so plugging everything in, A = π20², and then simplify, A = 40π, or A ≈ 1256.64 inches.

find the equation of line that passes through the point (4,-5) and the slope 5/4

Answers

Answer:

[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]

Step-by-step explanation:

To find the equation of line, you have to use a slope and slope-intercept formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}[/tex]

M represents the slope.B represents the y-intercept.

So, the slope is 5/4.The y-intercept is -10.

Rewrite the problem down.

y=5/4x-10

So, the correct answer is y=5/4x-10.

I hope this helps you! Let me know if my answer is wrong or not.

Help what is the product?

Answers

Answer:

(6 18)

Step-by-step explanation:

[tex](4 \: 2) \times \binom{ - 2 \: \: \: \: \: \: \: \:5 }{7 \: \: \: \: \: \: - 1} \\ \\ (4 \times - 2 + 2 \times 7 \: \: \: 4 \times 5 + 2 \times - 1) \\ \\ ( - 8 + 14 \: \: \: \: \: \: 20 - 2) \\ \\ (6 \: \: \: 18)[/tex]

What is the simplest form of the quotient? Simplify by rationalizing the denominator.

[tex]\frac{\sqrt{3x^{12} y^{10}}}{\sqrt{5x^{6} y^{3}}}[/tex]

A. [tex]5x^{3} y^3 \sqrt{15y}[/tex]
B. [tex]\frac{x^3 y^3 \sqrt{15y} }{5}[/tex]
C. [tex]\frac{\sqrt{15x^{18} y^{13}}}{5x^6 y^3}[/tex]
D. none of these

Answers

Answer:

[tex]5x^{3} y^3 \sqrt{15y}[/tex] is the right answer and other are wrong

Test help picture below problem 19 21

Answers

Step-by-step explanation:

PROBLEM 19

(side 1)² + (side 2)² = (hypo)²

56² + (side 2)² = 61²

3136 + (side 2)² = 3721

(side 2)² = 3721 - 3136

(side 2)² = 585

side 2 = root 585

side 2 = 24.1867732449

side 2 = 24.2cm

E. Parallelogram

reason

opposite sides are parallel

MARK ME AS BRAINLIST


Gifts are packaged in cylinders.
Each cylinder is 12 cm high with a diameter of 8 cm.
Calculate the volume of each cylinder.
Use 3 as a value for at
Give your answer using the correct units.

Answers

Answer:

Step-by-step explanation:

V = [tex]\pi r^{2} h[/tex]

V = (3.14)(16)(12)

V = 50.24 cm³

Determine the total length of the major and minor axes for the ellipse 25x^2+y^2=25
Will give brainliest

Answers

Answer:

Step by step Solution :-

25X^2 + Y^2 = 25

A) Finding X value :-

1. Subtract Y^2 from both sides:

25X^2 = 25 - Y^2

2. Divide both sides by 25 :

( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25

3. Dividing by 25 undo the multiplication by 25 :

X^2 = ( 25 - Y^2 ) ÷ 2

4. Divide ( 25 - Y^2 ) by 25 :

X^2 = ( - Y^2 ÷ 25 ) + 1

5. Take Square Root for both sides of equation ( before & after (=) ) :

X = √ ( 25 - Y^2 ) ÷ 5

X = - √ ( 25 - Y^2 ) ÷ 5

------------

Now that we knew what X value is, we'll figure out Y value too!

B) Finding Y value ( Finding Square Root ):-

Y^2 = 5√ ( 1 - X^2 )

1. Finding Square Root :

25X^2 + Y^2 = 25

2. Subtract 25X^2 value from both sides :

Y^2 = 25 - 25X^2

3. Take square root for both sides of equation :

Y = 5√ ( 1 - X^2 )

Y = - 5√ ( 1 - X^2 )

PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION

Answers

The solution set 0 and 8 are the true values of the absolute value equation

The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

How to determine the absolute value equation?

From the figure, the solution sets of the absolute value equation are given as:

x = {0, 6}

Calculate the mean of the solution set

Mean = 0.5 * (0 + 6)

Mean = 3

Calculate the difference of the solution set divided by 2

Difference = (6 - 0)/2

Difference = 3

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x - 3| = 3

Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

Read more about absolute value equation at:

brainly.com/question/2166748

Answer:

|x-3|=3

Step-by-step explanation:

A supposed "lucky coin" is to be tested to see if it is unfair, that is, the proportion of "heads" results is not 50%. It is
flipped 100 times and found to land on heads only 41 times. Test the claim that the coin is unfair.

Answers

Answer:

you need question right why you didnt ask

Step-by-step explanation:

you have brainly search

Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?

Answers

Answer:

76 percent.

Step-by-step explanation:

Answer:
76% of deliver Dan completed

Explanation:
19/25
19 out of 25


Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

A social security number contains nine digits, such as 224-10-7135. How many different social security numbers can be formed?​

Answers

Answer:

420 million

Step-by-step explanation:

There are up to 420 million numbers that were assinged.

IM STUCK CAN SOMEBODY HELP ME

Answers

Answer:

-16.15

Step-by-step explanation:

the variable in the equation means that it is ever changing, in this case, ever decreasing.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

y = 8 , x = 15

Step-by-step explanation:

[tex]\frac{24}{51}= \frac{y}{17} \\[/tex]

Cross Multiply.

51 * y = 24 * 17

Then solve for y.

[tex]y=\frac{24*17}{51}[/tex]

y = 8

Same thing for the x.

[tex]\frac{45}{51}=\frac{x}{17}[/tex]

Cross Multiply.

51 * x = 45 * 17

Solve for x.

[tex]x=\frac{45*17}{51}[/tex]

x = 15

A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?

Answers

Answer:

They are all even

Step-by-step explanation:


If two angles are complementary in a right triangle, then explain how you can find the
value of x if sin 440 = cos x using 2-3 sentences. In the last sentence, give the value of x.

Answers

Answer:

46°

Step-by-step explanation:

Points of note

two angles are complementary in a right trianglesin 44° = cos x°

Solving

The first thing to understand is "complementary" means that the two angles add up to 90°Therefore, 44 + x = 90x = 46°

Answer:

46°

Step-by-step explanation:

Complementary angles

Two angles whose measures sum to 90°

In a right triangle, the angle opposite the hypotenuse is always 90°.  

The interior angles of a triangle sum to 180°, therefore the other two angles are complementary angles since their sum is always 90°.  

So we can label one angle as [tex]x[/tex] and the other as [tex](90-x)[/tex].

The side opposite angle [tex]x[/tex] is the side adjacent to angle [tex](90-x)[/tex].

Therefore, using trig ratios, we can say that [tex]\sin(x) = \cos(90-x)[/tex]

So, if [tex]x=44[/tex] then:

[tex]\implies \sin(44) = \cos(90-44)=\cos(46)[/tex]

Simplify the expression with nested parentheses.
430+ 26+6−33

Answers

Answer:

using bodmas.

6-33=-27.

430+26=456.

456-27=429

Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?

Answers

Answer:

8.75

Step-by-step explanation:

I divided 8 by .914 and got and estimate of 8.75

I don’t understand how to do this! Could you help me step by step, please?

Answers

Answer: x=12

Step-by-step explanation: Combine Multiplied terms into a single fraction: 3 = 18 - 5/4 x      3 = 18 -  -5/4x

Find common denominator: 3= 18+ -5/4x    3= 4 x 18/4 + -5x/4

Combine fractions with common denominator:   3= 4 x 18/4 + -5x/4      3=4 x 18/- 5x/4

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