Eyjafjallajokull is a volcano in Iceland. In a recent eruption, a projectile is ejected with an initial velocity of 304 feet per second. The height, H, in feet is given by the equation: H=-16t^2+304t Where t is the time in seconds. We will use the equation that traces the path of the projective to determine the following information: 1) The time it takes the projective to reach its highest point. (t=?) 2) The maximum height? (H=?) 3) The time it takes the projectile to return to the ground? (t=?)

Answers

Answer 1

Answer:

A volcano ejected with an initial velocity of 304 feet per second.

The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.

We will use the equation that traces the path of the projectile to determine the following information:

1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)

The equation; H = -16t^2 + 304t, a=-16; b=304

t = -304/2°(-16)

t = 9.5 sec to reach max height

2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)

t = 9.5

H = -16(9.5^2) + 304(9.5)

h = = -1444 + 2888

h = 1444 ft is the max height

3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.

-16t^2 + 304t = 0

factor out -16t

-16t(t - 19) = 0

t = 19 sec to reach the ground

Step-by-step explanation:


Related Questions

(2 pts.) 9.) Find two equivalent expressions to tan 20° using the cotangent function in degrees.

Answers

tan (u) = a/b = cot (90° – u)

Let u = 20°

Take it from here.

The equivalent value of the expression is tan20 is a cot(70).

What are trigonometric identities?

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

The area of mathematics is concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle.

Given that the trigonometric expression is tan30. The equivalent expression will be written as,

tan (u) = a/b = cot (90° – u)

tan (20) = cot ( 90 - 20 )

tan 20 = cot 70

To know more about trigonometric identity follow

brainly.com/question/7331447

#SPJ2

Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares

Answer is C

Answers

If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.

Answer:

C. net asset value x number of shares

Step-by-step explanation:

edge 2022

How does (x^3)^3 = x^6 ?

Answers

Answer:

It does not, unless [tex]x=0[/tex] or [tex]x=1[/tex]

If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of [tex](x^3)^3=(x^3)(x^3)(x^3)=x^9[/tex]

At this point you're being asked if [tex]x^9=x^6[/tex] and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also [tex]-1[/tex] was a possible candidate, but alas 9 is odd).

A salesperson rent a car for a work trip. The rental car company charges the salesperson $25 each day and a flat fee of $100 for insurance.
If the salesperson is charged a total of $225 to rent the car for 2 days, which statement is true?
The equation 25% + 100 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
The equation 252 + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.
The equation 100:1 + 25 = 225 can be used to find 2, and the salesperson rents the car for exactly 2 days.
O The equation 100.0 + 25
225 can be used to find, and the salesperson rents the car for exactly 5 days.

Answers

The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.

Let the number of days used to rent the car be z

If the rental car company charges the salesperson $25 each day, the total charges for "z" days will be $25z

If a flat fee of $100 for insurance is added and the salesperson is charged a total of $225 for "z" days, hence the required equation that represents this statement is expressed as:

Rental charges for "z" days  + $100 = total charge25z + 100 = 225

The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.

Learn more on functions here: https://brainly.com/question/17431959

Question 17 of 20
How did women's roles change as a result of the Industrial Revolution in
Europe?
O A. Women earned the right to vote in most democracies by
organizing protests.
OB. Women earned salaries equal to men's for the first time in history,
O C. Women gained increased economic independence by working in
factories
O D. Women largely controlled agriculture by replacing male farmers
who moved to cities.

Answers

As a result of the Industrial Revolution, things changed for women in that C. Women gained increased economic independence by working in  factories

The Industrial Revolution:

Allowed for women to be employed in certain factories Allowed for women to get paid salaries as a result

When women started earning salaries, they did not have to rely on men as much as they could not provide for themselves which led to increased economic independence.

In conclusion, the industrial revolution allowed for the economic independence of women to increase.

Find out more on the industrial revolution at https://brainly.com/question/13323062.

Find the value of x.

Answers

Answer:

x= 11°

Step-by-step explanation:

∠BAC= ∠ACD (alt. ∠s, AB//CD)

∠BAC= 33°

∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)

33° +2x= 5x

5x -2x= 33°

3x= 33°

x= 33° ÷3

x= 11°

_____

Alternatively,

∠ACB= 180° -5x (adj. ∠s on a str. line)

∠BCD +∠ABC= 180° (int. ∠s, AB//CD)

∠ACB +∠ACD +2x= 180°

180° -5x +33° +2x= 180°

Minus 180° on both sides:

-5x +2x +33°= 0

5x -2x= 33°

3x= 33°

x= 11°

I need the answers for this please

Answers

Answer:

A AND B IS TRUE  C IS FALSE

Step-by-step explanation:

13/15% of a quantity is equal to what fraction of the quantity?​

Answers

Answer:

13/15

Step-by-step explanation:

Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green

Answers

Answer:

1/4

Step-by-step explanation:

4 skittles and one being green

Answer:

4/5

Step-by-step explanation:

According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.

Show all work to multiply
(3+ square root -16) (5 – square root -25)

Answers

[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]

PLS HELPPPPP!!!!!!!!

Answers

Answer:

not even bill nye could solve this

leading coefficient of the polynomial 4x^2−x^6+2x−6

Answers

Answer: The leading coefficient is -1.

Step-by-step explanation: Coefficients are the numbers than procede each term with a variable (in this instance, x) in the equation.

[tex]-x^6+4x^2+2x-6\\[/tex]

There are four terms in this equation, which has been reordered in the correct form, which is from the highest term to the lowest term (based on exponent values).

Thus, there are three coefficients in this equation, which, in order, are as follows:

[tex]-1, 4, 2[/tex]

What is the equation of a line written in point-slope form that passes through the point (2,-5) and is parallel to the line represented by 3x -2y = -14?

Answers

Answer:

y=3/2x-8

Step-by-step explanation:

The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.

Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.

3x-2y=-14

2y=3x+14

divide both sides by 2 to solve for y.

y=(3x+14)/2

y=3/2x+7

slope m =3/2

Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1

y--5=3/2(x-2)

y+5= 3/2x-3

subtract 5 from both sides to solve the equation for y

y=3/2x-8

Help pls pls pls and thank you

Answers

Answer:

2 feet: $18

4 feet: $36

5 feet: $45

$81 = 4.5 feet

10 feet = $90

Step-by-step explanation:

2 feet: $18

4 feet: $36

18 + 18

5 feet: $45

18 + 18 + 9

$81 = 4.5 feet

81/18

10 feet = $90

18 + 18 + 18 + 18 + 18

what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER

Answers

Answer:

Add 3 to both sides.

Step-by-step explanation:

Add 3 to both sides.

This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.

In other words, evaluate 3/4 x - 3 for x = 5

The left side turns into 3/4 × 5 - 3.

What order of operations would you use now on the left side.

1) Multiply 3/4 by 5

2) Subtract -3

To solve an equation, you do the opposite operations in the opposite order.

Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.

Answer: add 3 to both sides

How much does Bethany spend in week 4?

Answers

The sum of known =179
The unknown = x
179+x/6=39
179+x =39*6
x = 234-179

Resuelve la siguiente ecuación lineal: 13-4(5x+1)=3(7-5x)-15

Answers

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

Th stalest tree in the world is a red wood in red wood national and state parks .it is 379feet tall .how many yards is this

Answers

Answer:

126 1/3 yards

Step-by-step explanation:

1 foot = 1/3 yard

379 feet = 379/3 yard= 126 1/3 yards

WILL GIVE BRAINLIEST
What decimal is equivalent to -3 3/20?

Answers

Answer:

3 3/20 is equal to 3.15 in decimal form.

Step-by-step explanation:

Answer:

A. -3.15

Step-by-step explanation:

this isn't much but i really like math xD hope this helps! :) (please pick as brainlyist)

Help Meeeeee again plzzzzzzzzz

Answers

Answer:

53

Step-by-step explanation:

pls give me brainlest

Potatoes are sold at $3.30 per 55 kg bag.
(a) Calculate the cost per kilogram.

(b) How much will 12 kg cost?

Answers

(a) $0.06 per kilogram
(b) $0.72 per 12 kg bag

Solve the proportion:
11/10 = 22/x

Answers

Answer:

x=20

Step-by-step explanation:

Find f ′(x) for f(x) = ln(x^4 + e^(2x)).

Answers

[tex]\text{Given that,}\\\\\\f(x) = \ln(x^4 +e^{2x})\\\\\\f'(x) = \dfrac{1}{x^4 + e^{2x}} \left(4x^3+2e^{2x}\right) = \dfrac{2(2x^3+e^{2x})}{x^4 + e^{2x}}~~~~;[\text{Chain rule}]\\\\\\\text{Note:}\\\\\dfrac{d}{dx} \ln x = \dfrac 1x\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} e^{mx} = m e^{mx}[/tex]

After solving the given equation, the value obtained is equal to [tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex].

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given data in the question,

f(x) = ln (x⁴ + e²ˣ)

[tex]f'(x)=\frac{1}{x^4+e^2^x}(4x^3+2e^2^x)[/tex]

Now, use the chain rule,

[tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex]

Also, note some points,

d/dx ln (x) = 1/x

[tex]\frac{d}{dx}x^n=nx^n^-^1[/tex]

To know more about Expression:

https://brainly.com/question/14083225

#SPJ2

Given that (-5,-6) is on the graph of f(x), find the corresponding point for this function -1/3f(x).

Answers

Answer:  (-5, 2)

Explanation:

We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.

can someone please explain this question

Answers

Sure thing!

So if we look at the function, it is an exponential, meaning that it is a number to the power of x
The graph can be described by the equation

y = a^x

If we look at the graph, one of the points on the line is (2, 16), the x value is 2 and the y value is 16

If we consider this along with the function for the graph, we can say that

16 = a^2

Just solve this for a and you’ll have your answer :)
So the answer is 15

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

77) YES , 78) YES , 79) NO , 80) YES

Step-by-step explanation:

77) 12/4=3 and 18/6=3 so YES

78) 30/6=5 and 40/8=5 so YES

79) 36/25=1.44 and 48/40=1.2 so NO

80) 15/5=3 and 13.8/4.6=3 so YES

Help help ASAP ASAP

Answers

Answer:

1

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 4 / 0 - -2

2 / 2 = 1

1 1/5- 1/3
AS FRACTION

Answers

Answer:

-2/15

this should work

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

1 1/5 - 1/3 =

= 1 + 1/5 - 1/3

= 5/5 + 1/5 - 1/3

= 6/5 - 1/3

= 18/15 - 5/15

= 13/15

Write each expression in terms of sine and​ cosine, and then simplify so that no quotients appear in the final expression and all functions are of x only.
[tex]\frac{csc^2 (-x)-1}{1-cos^2 (-x)}[/tex]

Answers

[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]

A line with a slope of -8/3
passes through the point (0, 10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form

Answers

Answer:

y = - [tex]\frac{8}{3}[/tex] x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mc + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{8}{3}[/tex] and crosses the y- axis at (0, 10 ) ⇒ c = 10

y = - [tex]\frac{8}{3}[/tex] x + 10 ← equation of line

Other Questions
HELPPPP The volume for the above figure isA. 7297 cm3B. 817 cm2C. 486 cm3D. noneof the above WILL GIVE BRAINLY,5 STARS, THANKS4,800/60 = 480 tens / 6 tens = ___ which technique of extrasolar planet detection can tell us about the orbital period of a planet? How does the critique process help a viewer to understand a piece of artwork rather than just see the artwork? Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount. Find the HCF of 150 and 250. groundhog day was inspired by what february christian holiday? in 1946, winston churchill used the term iron curtain to refer to the which of the following is the most dangerous type of radiation?gamma decay, alpha decay, beta, decay, they are all equally dangerous Which job description refers to the work of the mitochondrion? Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72 with theground. How high up the wall does the ladder reach? Round your answer to thenearest tenth of a foot if necessary. Tom pushes on a 50-kilogram box with a force of 25 newtons. Assuming the surface on which the box moves is frictionless, at what rate does the box accelerate? Can someone help me out with this please You have recently been to a restaurant that you would like to visit again.Explain: Where exactly the restaurant is and what it is like. The reasons why you want to visit it again.Your piece should be between 100 and 150 words. What should you use to rinse items after cleaning them and before sanitizing them Which biome is characteristic of central sub saharan africa nearest the equator. Please help ASAP, any links will be reported!Write an inequality that represents the graph below: please help me !!Gymnasts often practice on foam floors, which increase the collision time when a gymnast falls. What effect does this have on collisions? A. The change in momentum needed to stop the gymnast is increased. B. The change in momentum needed to stop the gymnast is decreased. C. The force exerted by the floor on the gymnast decreases. D. The force exerted by the floor on the gymnast increases. The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price.Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points)Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points) The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms