An arrow is shot vertically upward at a rate of 190 feet per second from ground level. Use the projectile formula
h
=

16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 471 feet.

Answers

Answer 1

The height of the arrow will be 471 feet at 8.35s and 3.53s

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

h represent the height of the arrow after t seconds.

h(t) = -16t² + v₀t + h₀

v₀ is the initial velocity = 190 ft/s, h₀ is the initial height = 0m, hence:

h(t) = -16t² + 190t

At 471 feet:

471 = -16t² + 190t

0 = -16t² + 190t - 471

t = 8.35 or 3.53

The height of the arrow will be 471 feet at 8.35s and 3.53s

Find out more on equation at: https://brainly.com/question/2972832


Related Questions

n a certain​ country, the true probability of a baby being a girl is 0.467. Among the next four randomly selected births in the​ country, what is the probability that at least one of them is a boy​?

Answers

Answer:

0.9524

Step-by-step explanation:

Since the probability of a baby being a girl is 0.467, then the probability of a baby being a boy is 1 - 0.467 = 0.533

By the Binomial Theorem, the probability of at least one baby out of four being a boy is 1 - (0.467)^4 = 1 - 0.0476 = 0.9524

A runner is preparing for a marathon that is divided into 5 sections of equal distance. The Marathon is 42.195 km long. How long is each section of the marathon?
A. 210.975
B. 21.0975
C. 8.439
D. 0.8439

Answers

Answer:

8.439

Step-by-step explanation:

Since the marathon is divided on 5 EQUAL sections, and it is 42.195 km long, you only need to divide the length of the marathon by 5.

$1 = £0.73. Change $346 into £

Answers

Answer:

£252.58

Step-by-step explanation:

$346 × £0.73/$1 = £252.58

Please rate!! I hope this helps!!

Necesito saber cual funcion es

Answers

Answer:

A function is defined as a relation between a set of inputs having one output each..

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

¿Qué es la función explicar?

Una función se define como una relación entre un conjunto de entradas que tienen una salida cada una. En palabras simples, una función es una relación entre entradas donde cada entrada está relacionada exactamente con una salida. Cada función tiene un dominio y un codominio o rango. Una función generalmente se denota por f(x) donde x es la entrada.

La integral indefinida de la función h(x)=2x+5x4

Answers

Answer:

x^2 + x^5 + C.

Step-by-step explanation:

∫2x + 5x^4 dx

= 2 * x^2/2 + 5 * x^5/5  + C

= x^2 + x^5 + C.

Which polynomial function could be represented by the graph below?

Answers

Answer:

C

Step-by-step explanation:Only one that makes sence just look at the graph

When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?

A. The answer is incorrect; the trinomial cannot be factored.

B. The answer is incorrect; the plus sign should be a minus sign.

C. The answer is incorrect; the minus sign should be a plus sign.

D. The answer is correct.

Answers

Answer:

B.The answer is incorrect; the plus sign should be a minus sign.

Step-by-step explanation:

[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]

the question is below

Answers

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

Solve for the length of the fence (aka height)Find the area of the lawn (trapezoid)Find the number of cans neededFind the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

[tex]\frac{B_1 + B_2}{2}* h[/tex]

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

8² + fence² = 17²64 + fence² = 289225 = fence²fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

[tex]A = \frac{B_1 + B_2}{2} * h[/tex][tex]A = \frac{12 + 20}{2} * 15[/tex][tex]A = \frac{32}{2} * 15[/tex][tex]A = 16 * 15 = 240[/tex]

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

3 * 19.7559.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : [tex]a^2 + b^2 = c^2[/tex]

a is a legb is a legc is the hypotenuse

Images attached for your reference

Camila has a coin collection. She keeps 13 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?

Answers

Answer:

130

Step-by-step explanation:

We need to keep adding 13 together until we have done this 10 times :)

10%: 13

20%: 26

30%: 39

40%: 52

50%: 65

60%: 78

70%: 91

80%: 104

90%: 117

100%: 130

Have an amazing day!!

Please rate and mark brainliest!!

40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?

Answers

Both are supplementary

<A+<C=180112+<A=180<A=180-112<A=68

Find the sum of the arithmetic sequence 1, 4, 7, 10, ...,94; n=32

Answers

Answer:

Step-by-step explanation:

hello :

the sum is : Sn = n/2(U1 + Un )     and U n = U1+(n-1)r    

given :    U1 = 1      r=4-1=7-4=...= 3      n= 32

so :  U 32 = 1+(32-1)3= 94

S32 = 32/2 (1+94) = 1520

solve the equation

answer: x=

Answers

Answer:

Hope the picture will help you

A theater is selling tickets for a musical. One attendee purchased 2 adult tickets and 5 student tickets, and the total cost was $64. Another attendee purchased 3 adult tickets and 4 student tickets, and the total cost was $68. Write a system of equations to find the price of an adult ticket and a student ticket. Let x be the price of an adult ticket and y be the price of a student ticket.

Answers

Answer:

Price of an adult ticket: 12$

Price of a student ticket: 8$

Step-by-step explanation:

Let x be the price of an adult ticket, and y be the price of a student ticket.

We have the equation:

2x + 5y = 64

3x + 4y = 68

=> x - y = 4

2x + 5y = 64

=> x = 4+y

2*(4+y) + 5y = 64

=> x = 4+y

8 + 2y + 5y = 64

=> x = 4 + y

7y = 56

=> x = 4 + y

y = 8

=> x = 12

y = 8

double the difference of 6 and x

Answers

2(6-x)
Explanation: First, let’s write the difference of six and x. When the word difference is used, we are talking about subtraction. So the difference of six and x would be 6-x.
To double something just means to multiply by two. So put 6-x in parentheses and two on the outside and you have your answer.
2(6-x)

Trigonometric equations
4sin^2(theta) + 4 = 5

Answers

Answer:

Θ = (π/6) + πn

Θ = (5π/6) + πn

Step-by-step explanation:

4sin²Θ + 4 = 5

            -4    -4

4sin²Θ = 1

÷4         ÷4

sin²Θ = (1/4)

√sin²Θ = √(1/4)

sinΘ = (1/2), (-1/2)

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

Θ = arcsin (1/2)

Θ = (π/6)

to find the quadrant subtract π

Θ = π - (π/6)

Θ = (5π/6)

Find the period

2π / |b|

b = 1

2π/1 = 2π

The sin Θ function is 2π, so values will repeat 2π in both directions.

Θ = (π/6) + 2πn (n is the variable)

Θ = (5π/6) + 2πn

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

sin Θ = (-1/2)

Θ = arcsin (-1/2)

Θ = (-π/6)

To find the second function add π

Θ = 2π + (π/6) + π

Θ = (7π/6)

Find the period

2π/|b|

2π/1

(-π/6) + 2π

2π       6         π

----- ×  ----- -  -----

1           6        6

Θ = (11π/6) will repeat every 2π in both directions

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

Θ = (π/6) + 2πn

Θ = (5π/6) + 2πn

Θ = (7π/6) + 2πn

Θ = (11π/6) + 2πn

(π/6) + π = (7π/6)

(5π/6) + π = (11π/6)

Θ = (π/6) + πn

Θ = (5π/6) + πn

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

I hope this helps!

what is 1/4 - 41 1/4 + 3

Answers

Answer:

-38

Step-by-step explanation:

i hope this helps you

good luck on your quiz or lesson!

Answer:

-38

Step-by-step explanation:

[tex]\frac{1}{4} = 0.25[/tex]

[tex]\frac{1}{4} -41\frac{1}{4} +3[/tex]

[tex]0.25-41.25+3[/tex]

[tex]-41+3[/tex]

[tex]-38[/tex]

* WILL MARK BRAINIEST*
PLEASE HELP
7.03 Understanding Compound Events -

Record your results here:

Landing: Frequency:
heads, heads ____________
heads, tails ______________
tails, heads ______________
tails, tails ________________
TOTAL: 50
please help :))

Answers

Answer:

Tails, tail: 26

Heads: 9

Heads Tails: 26

Tails: 15


Step-by-step explanation:
(credit to the person who answered your question before me)

Have a great rest of your day
#TheWizzer

Sanjay is standing on level ground 70 meters away from a flag pole. The angle of elevation to the flagpole is 38 degrees. The height of Sanjay's eyes are 167cm from the ground. How tall is the flag pole in meters?

Answers

The height of the pole is  53 m

What is the height of the pole?

The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position

Let the height of the pole be x

We know that;

Tan 38 = 1.67 + x/70

Tan 38 * 70 = 1.67 + x

x = (Tan 38 * 70 ) - 1.67

x = 53 m

Thus we can see that the height of the pole is about 53 m

Learn more about angle of elevation:https://brainly.com/question/21137209

#SPJ1

I need help with this question really badly please help.

Answers

D: of ;;;9d 38383 valise irl for 1

Please help me i need help!!!

Answers

Answer:

sorry cant help with that

Step-by-step explanation:

What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10

Answers

Answer:

  3

Step-by-step explanation:

You want the mean absolute deviation of the set of numbers ...

  {9, 2, 9, 9, 5, 4, 9, 1, 4, 10}

MAD

The mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.

The attachment shows those calculations.

The MAD of this set of data is 3.

__

Additional comment

The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.

When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)

<95141404393>

A footbridge is being built across the river that will connect points A and B. If the length of each box represents 2 yards, approximately what will the length of the footbridge be?

Answers

Answer:

4 yards

Step-by-step explanation:

IG;youngdestinyofficial

3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?

A.
20 grapes

B.
60 grapes

C.
80 grapes

D.
90 grapes

Answers

Answer:

C. 80 grapes

Step-by-step explanation:

6 / 3 = 2

Each person gets 2 pounds of grapes.

2 X 40 = 80

1 pound = 40 grapes

2 pound = 80 grapes

7. SHORT ANSWER Determine whether the
relationship between the two quantities
in the table is proportional. Explain
your reasoning.

Answers

Answer:

it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost

Find the derivative of the image below

Answers

[tex]~~~\dfrac{d}{dx} f(x) \\ \\=\dfrac{d}{dx} \left(x^3 \cdot \log_6 x \right)\\\\=x^3\dfrac{d}{dx} \left(\log_6 x\right) + \log_6 (x)\dfrac d{dx} x^3 \\\\=x^3 \cdot \dfrac 1{x \ln 6} + \log _6 (x) \cdot 3x^2\\\\=\dfrac{x^2}{\ln 6} + \log_6(x) \cdot 3x^2\\\\\\=x^2 \left(\dfrac 1{\ln 6} + 3\log_6 x \right)[/tex]

[tex]\text{The derivative is now in a form of}~ x^A (B + C \log_D (x))[/tex]

Diego's recipe calls for three times as much oregano than Tracy's recipe. If Tracy only uses 0.75 tablespoons of oregano in her recipe, how many does Diego use?

Answers

Answer:

2.25 tablespoons of oregano

Step-by-step explanation:

as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25

solve for t; 1/11=cos((2π/3)t)

Answers

Answer:

Step-by-step explanation:

Method

Take the inverse Cos of both sides. That will give you the angle on the left.

From there you can solve for t

cos-1(1/11) = cos-1 cos ((2pi/3)t)

1.4798 = 2*pi*t/3                              Multiply both sides by 3/2

1.4798 * 3/2 = (2pi*t/3)*3/2

2.2196 = 2*pi*t                                 Divide both sides by 2*pi

2.2196 / (2*pi) = t

t = .3534

This was done by setting my calculator to radians. 1.4798 is a radian measure.

The Han family just enjoyed dinner at Mizumi restaurant. The bill was $160.18. The tax rate is 8.25% and the restaurant charges a 15% service fee on each bill, not including the tax.

a) what was the total amount the Han family paid for dinner?

Answers

Answer:

$198.62

Step-by-step explanation:

The dinner itself is $160.188.25% tax on $160.18 is approximately $13.21A 15% service fee on $160.18 is approximately $25.23

**You only apply the 15% service fee to $160.18 and not 173.39 (dinner and tax) because the problem says the service fee is applied before tax.

160.18 + 13.21 + 25.23 = 198.62

Hope this helps!

Shannon has a paper cone filled with water. The cone has a diameter of 8 centimeters and a height of 9 centimeters. Select the containers that could hold all of the water in Shannon's paper cone

Answers

You forgot to upload a picture of the options!


UNDERSTAND VOLUME
When water is poured from the graduated cylinder below into a rectangular
prism, the rectangular prism is completely filled.

How many 1-cm unit cubes can be packed into the rectangular prism with no gaps
or overlaps?
Answer____ 1-cm unit cubes
Explain your answer.

Answers

Check the picture below.

liquid always take the shape of the container that contains it, so 25  cm³ from a beaker or pitcher or a curvy pipe dumped into another container, will always have 25 cm³ as its volume.

In this case it went from the cylinder to a prism, same 25 cm³.

notice in the picture, the volume of a green cube with those dimensions is just 1 cm³.

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Sandra borrowed $38 000 for 5 years from a bank, which charges a compound interestrate of 2% per year. How much will Sandra have to pay back in 5 years? ( + 2b) (2 b) HELP ME PLEASE 3.Which system of equations has infinite solutions? Select all that apply.A. y = 4x + 4y=x - 4B. y = -2x + 4y=x+4-6C. y=4x=-2D. y = 5x + 33y = 15x +9 A student measures the voltage and current between two points in anelectrical circuit. If the voltage is 120 V and the current is 0.5 A, what is theresistance, according to Ohm's law?A. 0.00402. 240 C. 1200D. 60.00 Tiffany ate of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat? Ann sells beaded necklaces. Each large necklace sells for $5.40 and each small necklace sells for $4.30. How much will she earn from selling 3 large necklaces and 1 small necklace? How can you maintain your Christian lifestyle in this modern world? What is the answer to how many 1/2 are in 3 1/2? use the intersect method to solve the equation -2x+1=-x^2+4 What did the social class work th largest number of people contribute to early civilization At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 58 degrees. Find the height of the tree. How many moles of Na are needed toproduce 15 moles of NaCl in the reaction2Na + Cl2 = 2NaCl?A conversion involving moles of onesubstance to moles of anothersubstance. You have been talking in class about training facilities for sport in your country. now your english teacher has asked you to write an essay for homework.write your essay using all the notes and giving reasons for your point of view.( 140-190 words)some countries spend a lot of money on providing world-class sports facilities for training talented youngsters. is this a good way or a bad way to spend government money?write about:1. health & lifestyle2. international competition 3. your own idea What culture contributed some of the words we use in the English language, like chocolate? What is the significance of the march? Why did it mean so much to Quinn, Rashad, and Spoony? How about the rest of the characters? Why do people protest? Do you think protests are effective in voicing a cause? Can they institute change? Dramatic irony in the story the open boat A nitrogen bubble with a volume of 0.0050 mL forms in the joint of a scuba diver as she ascends rapidly from a pressure of 4.1 atm to the surface, with a pressure of 1.0 atm. What is the volume of the bubble at the surface Which sentence suggests that the boy was being reflective?A.The boy was pondering how to help his friend.B.The boy was wrestling with how to help his friend.C.The boy was debating how to help his friend.D.The boy was fretting over how to help his friend. Explain why electromagnetic forces are essential to forming compounds. AHHHHH NEED HELP FAST AGAIN!!!!!!