HELP asap lota points
MILKSHAKES


In addition to cones, you have decided to sell milkshakes. You ordered three
different sizes of cups shown below. Calculate the volume of each cup shown Use
314 for pl and round to the nearest hundredth
MIN
Total
SMALL
2DN%
6.5IN
Total
MEDIUM
2.5 IN
8 IN
Total
LARGE
6PN
Workspace for the Small Milkshake
(Show your work here.)

HELP Asap Lota PointsMILKSHAKESIn Addition To Cones, You Have Decided To Sell Milkshakes. You Ordered

Answers

Answer 1

The volume of each milkshake cup is given by

small cup = 50.24 square inches

medium cup =127.56 square inches

Large cup =226.08 square inches

Shape of the milkshake cups is cylindrical.

Formula used to calculate volume of each cup = πr²h

Where 'r' is the radius of cups.

And h is the height of the cups

Radius of small milkshake cup = 2in.

height of small cup = 4in.

Volume of the small cup = π × 2² × 4

                                         = 50.24 square inches

Radius of medium milkshake cup = 2.5in.

height of medium cup = 6.5in.

Volume of the medium cup = π × 2.5² × 6.5

                                         = 127.56 square inches

Diameter of large cup = 6in

Radius of large milkshake cup = 3in.

height of large cup = 8in.

Volume of the large cup = π × 3² × 8

                                         = 226.08 square inches

Therefore, the volume of each milkshake cup using given radius and height are as follow,

volume of small cup = 50.24 square inches

volume of medium cup =127.56 square inches

volume of Large cup =226.08 square inches

learn more about volume here

brainly.com/question/16134180

#SPJ1


Related Questions

PLS HELP 20 POINTS!
Below is a portion of the graph of a function, y = h(x):


If the graph of y = h(x-3) is drawn on the same set of axes as the graph above, then the two graphs intersect at one point. What is that point?

Answers

GIVEN:

We are given the graph of

y = h(x)

Required;

If the graph of y = h(x-3) is drawn on the same set of axes as the graph above, then the two graphs intersect at one point. What is that point?

Step-by-step solution;

We begin by identifying two points on the graph of h(x).

These are;

P1(-2,3), P2(1,3)

next, we are told that the graph of y = h(x - 3) is drawn on the same axis, which means the graph of the function has been shifted 3 units to the right.

Therefore, the points identified above will now be;

P 1 Rightarrow (- 2 + 3, 3)

P_{1}' = (1, 3)

P 2 Rightarrow (1 + 3, 3)

P_{2}' = (4, 3)

In summary,

ANSWER:

The point is

(1,3)

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

The three equivalent equations are:

2 + x = 5
x + 1 = 49
-5 + x = -2
Explanation:

Subtracting 2 from both sides of the equation 2 + x = 5 gives x = 3, which is the solution to the equation.
Subtracting 1 from both sides of the equation x + 1 = 49 gives x = 48, which is the solution to the equation.
Adding 5 to both sides of the equation -5 + x = -2 gives x = 3, which is the solution to the equation.

The volume of a rectangular prism is calculated using the formula V=Zoey, where V is the volume of the prism, I and W are the length and width base of the prism, respectively and h is the height of the prism

Answers

Answer:

I'm sorry, but there seems to be an error in the formula you provided. The correct formula for finding the volume (V) of a rectangular prism is V = l x w x h, where l, w, and h are the length, width, and height of the prism, respectively.

Find the length of the third side of the right triangle 19, 21 and c

Answers

The length of the hypotenuse is 28.3

What is Pythagoras theorem?

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

A right angle triangle is a triangle that has one of it's angles has 90°. And Pythagoras theorem is applied to only right angled triangle.

If a and b are the legs of the triangle and c is the other side(hypotenuse) then,

c² = a²+b²

c² = 19² +21²

c² = 361+441

c² = 802

c = √802

c = 28.3

therefore , if the two legs are 19 and 21, the length of the other side is 28.3

learn more about Pythagoras theorem from

https://brainly.com/question/231802

#SPJ1

The length of the hypotenuse is 28.3

What is Pythagoras theorem?

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

A right angle triangle is a triangle that has one of it's angles has 90°. And Pythagoras theorem is applied to only right angled triangle.

If a and b are the legs of the triangle and c is the other side(hypotenuse) then,

c² = a²+b²

c² = 19² +21²

c² = 361+441

c² = 802

c = √802

c = 28.3

therefore , if the two legs are 19 and 21, the length of the other side is 28.3

learn more about Pythagoras theorem from

https://brainly.com/question/231802

#SPJ1

4x Terry and Susan both detail cars. Terry chargers $75 for each car and Susan charges $70 for each car. This week Terry made an additional $65 in tips and Susan made an additional $95 in tips. Given that T and S represent the number of cars detailed by Terry (T) and Susan (S), which expression can be used to represent their combined earnings for the week?​

Answers

The correct option- C: 75T + 70S + 160, represent their combined earnings of Terry and Susan  for the week.

Explain about the variable:

Every feature, number, or amount that can be gauged or quantified is referred to as a variable. An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown.

Given data:

T - number of cars detailed by Terry (T)

S - number of cars detailed by Susan (S).

Terry's charge - $75 for each car .

Total Terry's charge for T number of cars - 75T

Additional tip - $65

Susan's charge - $70 for each car.

Total Susan's charge for S number of cars - 70T

Additional tip - $95

Combined earnings = 75T + 65 + 70T + 95

Combined earnings = 75T + 70T + 160

Thus,  75T + 70S + 160, represent their combined earnings of Terry and Susan  for the week.

Know more about the variable charges:

https://brainly.com/question/28248724

#SPJ1

Complete question:

Terry and Susan both detail cars. Terry chargers $75 for each car and Susan charges $70 for each car. This week Terry made an additional $65 in tips and Susan made an additional $95 in tips. Given that T and S represent the number of cars detailed by Terry (T) and Susan (S), which expression can be used to represent their combined earnings for the week?​

A: 145(T+S) + 160

B: 65T + 70S + 160

C: 75T + 70S + 160

D: 145TS + 160

-2 x + 4 =2 x - 4 solve .

Answers

Answer:

[tex]\sf{x = 2}[/tex]

Step-by-step explanation:

Question type: solving equations with variables on both sides.

[tex]\textsf{This is a question with variables on both sides, to solve this we need to get the variable x }[/tex]

[tex]\textsf{alone. (getting the x on one side)}[/tex]

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

[tex]\sf{-2x~+~4~=~2x~-~4[/tex]

Subtract 4 from both sides.

[tex]\sf{-2x~=~2x~-8[/tex]

Subtract 2x from both sides.

[tex]\sf{-4x~=~-8}[/tex]

Divide both sides by -4.

[tex]\bf{x~=~2[/tex]

Therefore, x would be 2.

[tex]-jurii[/tex]

Answer:

x=2

Step-by-step explanation:

math please help me on thissssssss hurry

Answers

The standard form based on the information given will be:

a) 2.35 x 10^-3 = 0.00235 (in standard form)

b) 2.35 x 10^3 = 2350 (in standard form)

How to explain the standard form

It should be noted that in mathematics and computer science, a normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical expression.

Often, it is one which provides the simplest representation of an object and allows it to be identified in a unique way

he standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form.

Learn more about standard form on

https://brainly.com/question/19169731

#SPJ1

The second option is to issue new preferred stock at a market price of $56,000, with a $5.00 annual dividend. The net proceeds per share after paying flotation costs are $51.50.

Answers

The cost of capital for the second option, issuing new preferred stock, is 0.00356, or 0.356%. This means that for every dollar of capital raised through issuing preferred stock, the company will need to pay 0.356 cents in annual interest or dividend payments.

To calculate the cost of capital for the second option, we need to first calculate the cost of the preferred stock. The cost of preferred stock is the dividend yield, or the annual dividend divided by the market price of the stock. In this case, the annual dividend is $5.00 and the market price is $56,000.

Cost of preferred stock = Annual dividend / Market price of stock

Cost of preferred stock = $5.00 / $56,000

Cost of preferred stock = 0.000089

To calculate the cost of capital, we need to weight the cost of preferred stock with the proportion of capital that is financed by preferred stock. Let's assume that the preferred stock will finance 40% of the total capital.

Cost of capital = Cost of preferred stock * Proportion of capital financed by preferred stock

Cost of capital = 0.000089 * 0.40

Cost of capital = 0.0000356

To know more about stock here

https://brainly.com/question/26128641

#SPJ1

Exercise 6.2.8: Solve ′′′ + = 3( − 1) for initial conditions (0) = 1 and ′(0) = 0, ′′(0) = 0.

Answers

Answer:

Step-by-step explanation:

To solve the differential equation:

y′′′ + y = 3(y′ − 1)

we first find the characteristic equation:

r^3 + 1 = 0

The roots of this equation are:

r = -1, 0 ± i

So, the general solution of the homogeneous equation (y′′′ + y = 0) is:

y_h(t) = c1 e^(-t) + c2 cos(t) + c3 sin(t)

To find a particular solution of the non-homogeneous equation (3(y′ − 1)), we assume a solution of the form:

y_p(t) = a t + b

Taking the first, second and third derivatives of y_p(t), we get:

y′_p(t) = a

y′′_p(t) = 0

y′′′_p(t) = 0

Substituting these into the differential equation, we get:

0 + (a t + b) = 3(a - 1)

Solving for a and b, we get:

a = 1

b = 2

Therefore, the particular solution of the non-homogeneous equation is:

y_p(t) = t + 2

So, the general solution of the non-homogeneous equation is:

y(t) = y_h(t) + y_p(t) = c1 e^(-t) + c2 cos(t) + c3 sin(t) + t + 2

To find the values of c1, c2 and c3, we use the initial conditions:

y(0) = c1 + c2 + 2 = 1

y′(0) = -c1 + c2 + c3 = 0

y′′(0) = c1 - c2 = 0

Solving these equations simultaneously, we get:

c1 = c2 = 1/2

c3 = -1/2

So, the solution of the differential equation with initial conditions (0) = 1, ′(0) = 0, ′′(0) = 0 is:

y(t) = 1/2 e^(-t) + 1/2 cos(t) - 1/2 sin(t) + t + 2

Find the indicated measure. Lines that appear to be tangent are tangents(help pls)

Answers

Step-by-step explanation:

This is basically an inscribed angle in a circle which encompasses twice as many degrees of arc (246) as the angle measure : angle 3 = 123 degrees

Comparing Rates of Change Station Cards
Two students are texting.

Student A is texting at the rate given in the table.
Number of
Tests Sent
0
1
2
3
4
12
Number of Texts Sent
てん
0
10.
5
10
Student B is texting at the rate given in the graph.
15
20
2 3 4
Minutes
5
7+
What is the different in the texting rate of these two students?
what is student A's rate ?
Student B's rate ?
what is

Answers

Answer:

To compare the texting rates of Student A and Student B, we need to calculate their respective rates of change.

For Student A, we can use the formula for the slope of a line:

slope = (change in y) / (change in x)

In this case, the "y" variable represents the number of texts sent, and the "x" variable represents the number of tests sent. Looking at the table, we can see that Student A sent 10.5 texts after sending 1 test, and 10 texts after sending 2 tests. So the change in y is -0.5 (10.5 - 10), and the change in x is 1. Therefore:

slope = (-0.5) / 1 = -0.5

So Student A's texting rate is -0.5 texts per test.

For Student B, we can look at the graph and find the slope of the line connecting any two points. Let's choose the points (2, 15) and (5, 23) because they are easy to read off the graph. The change in y is 8 (23 - 15), and the change in x is 3 (5 - 2). Therefore:

slope = 8 / 3 = 2.67

So Student B's texting rate is 2.67 texts per minute.

To find the difference in their texting rates, we simply subtract:

difference = Student B's rate - Student A's rate

difference = 2.67 - (-0.5) = 3.17

So the difference in their texting rates is 3.17 texts per test.

Step-by-step explanation:

Find the value of x, y, and z in the rhombus below.

Answers

The value of x, y, and z in the rhombus below x = 20, y = -7, z = -11

How to find the values of x, y and z?

Recall that a  rhombus is an equilateral parallelogram with both pairs of opposite sides parallel and all sides the same length.

Sum of interior angles of a rhombus = 360°

The opposite angles of a rhombus are equal to each other.

The adjacent angles are supplementary (add up to 180°)

Therefore,

66 + (6x - 6) = 180

⇒ 66 + 6x - 6 = 180

⇒ 6x = 180 - 66 + 6

⇒ 6x = 120

⇒ x = 120 ÷ 6

⇒ x = 20

66 + (-10z + 4) = 180

⇒ 66 - 10z + 4 = 180

⇒ -10z= 180 - 66 - 4

⇒ -10z = 110

⇒ z = 110 ÷ -10

⇒ z = -11

(6x - 6) + (-10y - 4) = 180

⇒ 6x - 6 - 10y - 4 = 180

⇒ 120 - 6 - 10y - 4 = 180

⇒ -10y = 180 - 120 + 6 + 4

⇒ -10y = 70

⇒ y = 70 ÷ -10

⇒ y = -7

Learn more about  rhombus on https://brainly.com/question/27870968

#SPJ1

the volume of both of these trapezoid prisms is 24 cubic units. their heights are 6 and 8 units as labeled. What is the area of a trapezoidal base of each prism

Answers

the area of the trapezoidal base of the first prism is 9 square units, and the area of the trapezoidal base of the second prism is 16 square units.

What is Volume of both the trapezoidal prisms?

volume = area of cross section of object*  height of object (A)

V = (1/2) * h * (b1 + b2) * H

For the first trapezoid prism, we have:

24 = (1/2) * 6 * (b1 + b2) * 8

Simplifying this equation, we get:

3 = (b1 + b2)

For the second trapezoid prism, we have:

24 = (1/2) * 8 * (b1' + b2') * 6

Simplifying this equation, we get:

4 = (b1' + b2')

A = (1/2) * h * (b1 + b2)

For the first trapezoidal prism:

A = (1/2) * 6 * 3

A = 9 square units

For the second trapezoidal prism:

A = (1/2) * 8 * 4

A = 16 square units

Therefore, the area of the trapezoidal base of the first prism is 9 square units, and the area of the trapezoidal base of the second prism is 16 square units.

To know more about Volume of both the trapezoidal prisms visit,

https://brainly.com/question/16048673

#SPJ1

2as = vf2-vo2 despejar para a

Answers

Para despejar "a" de la ecuación 2as = vf^2 - vo^2, podemos seguir los siguientes pasos:

1. Sumar vo^2 a ambos lados de la ecuación:

2as + vo^2 = vf^2

2. Dividir ambos lados de la ecuación por 2s:

a = (vf^2 - vo^2) / 2s

Por lo tanto, la fórmula para calcular "a" a partir de la distancia de desplazamiento "s", la velocidad final "vf" y la velocidad inicial "vo" es:

a = (vf^2 - vo^2) / 2s

[tex]\huge{\colorbox{black}{\textcolor{lime}{\textsf{\textbf{I\:hope\:this\:helps\:!}}}}}[/tex]

[tex]\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}[/tex]

[tex]\textcolor{blue}{\small\texttt{If you have any further questions,}}[/tex] [tex]\textcolor{blue}{\small{\texttt{feel free to ask!}}}[/tex]

♥️ [tex]{\underline{\underline{\texttt{\large{\color{hotpink}{Sumit\:\:Roy\:\:(:\:\:}}}}}}\\[/tex]

How many possible winning number combinations a bettor may opt to select in a 6/42 Lottery? And based on this, what is the probability a bettor may win the lottery jackpot prize?

Answers

There are 5,245,786 possible winning number combinations in a 6/42 lottery, and for every ticket purchased, there is a 1 in 5,245,786 chance of winning the jackpot prize.

What is the combinations?

Combinations refer to the different ways of selecting a subset of items from a larger set without regard to the order in which the items are selected. In other words, combinations are the different ways of choosing a group of items without taking into account their arrangement or order.

In a 6/42 lottery, there are 6 numbers drawn from a pool of 42 numbers. To determine the number of possible winning number combinations, we can use the formula for combinations:

C(n,r) = n! / (r! * (n-r)!)

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 42 numbers in the pool and we need to choose 6 numbers, so the formula becomes:

C(42,6) = 42! / (6! * (42-6)!)

which simplifies to:

C(42,6) = 5,245,786

Therefore, there are 5,245,786 possible winning number combinations in a 6/42 lottery.

To calculate the probability of winning the jackpot prize, we need to divide the number of ways to win by the total number of possible outcomes. Since there is only one winning combination, the probability of winning the jackpot is:

1 / 5,245,786

which simplifies to approximately:

0.000019% or 1 in 5,245,786.

This means that for every ticket purchased, there is a 1 in 5,245,786 chance of winning the jackpot prize.

hence,  there are 5,245,786 possible winning number combinations in a 6/42 lottery, and for every ticket purchased, there is a 1 in 5,245,786 chance of winning the jackpot prize.

To learn more about the combinations visit:

https://brainly.com/question/28065038

#SPJ1

identify one pair of verticle angles in the diagram below.

Answers

Answer:

One pair of vertical angles is a and c.

What is the probability that it will land on tails twice and heads once?

Answers

Answer:

3/8

Explanation:

I just know :) (;

nd the compound interest and future value. Do not round intermediate steps. Round your answers to the neare Principal Rate Compounded Time $865 4% Annually 10 years The future value is $ and the compound interest is $ X Start over Ś​

Answers

All the values are,

Compound interest = $1280.2

Future value = $1280.2 + $x

Given that;

P = $865

r = 4%

T = 10 years

Formula is,

Compound Interest = P(1 + r)^t

Where, Principal = P, Interest rate = r, Number of compounds = n, Interest time = t

Plug, p = 865, r = 0.04, t = 10

Compound Interest = 865 (1 + 0.04)¹⁰

Compound Interest = 865 (1.04)¹⁰

Compound Interest = 865 x 1.48

Compound Interest = 1280.2

Hence, We get;

Future value = Compound Interest + Principal

Future value = $1280.2 + $x

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Plot the numbers -1 1/6 and 7/3 on the number line below.

Answers

The number line where we plotted -1 1/6 and 7/3 is added as an attachment

Plotting -1 1/6 and 7/3 on a number line

From the question, we have the following parameters that can be used in our computation:

-1 1/6 and 7/3

To start with, we convert both numbers to the same form

i.e. decimal or fraction

When converted to fractions, we have

-7/6 and 7/3

Rewrite the denominators of the fractions

So, we have

-7/6 and 14/6

This means that we can plot -7/6 at -7 and 7/3 at point 14 where the difference in each interval is 1/6

Using the above as a guide, we have the following:

The number line is attached

Read more about number line at

brainly.com/question/24644930

#SPJ1

Prehistoric cave paintings were discovered in a cave in France. The paint contained
17% of the original carbon-14. Use the exponential decay model for carbon-14,
A=Age-0.000121t
to estimate the age of the paintings?

Answers

First, we need to find the decay constant, k. Since the half-life of carbon-14 is 5,700 years, we can use the formula:

k = ln(1/2) / 5700

k = -0.000121

Now we can use the formula for exponential decay to find the age of the paintings:

0.17 = e^(-0.000121t)

ln(0.17) = -0.000121t

t = ln(0.17) / (-0.000121)

t ≈ 22,000 years

Therefore, the age of the paintings is approximately 22,000 years.

Use the following diagram to answer questions 11 – 16.

Name an acute angle and give its measure. (2 points)
Angle: ______ Measure: _____


Name an obtuse angle and give its measure. (2 points)
Angle: _____ Measure: _____

Answers

The answers to Q11 to 14 with the figure representing angles with protractor are as follows:

11.Acute angle= JEH & measure=25°

12.Obtuse angle=JEK & measure=75°

13.One right angle=DEJ

14.One straight angle=DEF

What is protractor ?

With the aid of the scale on it, it serves as a tool for measuring angles. Protractors often feature two sets of numbers that face each other. A protractor is a tool having a semicircular shape and markings from 0° to 180° on both its inner and outer scales. Angles come in many different shapes and sizes in geometry, including obtuse (>90), acute (90), right (90), reflex (180–270), complete (360), and straight (>90).(180).

11)Acute angles:

HEJ=25

JEK=50

KEF=40

HED=65

12)Obtuse angles:

KED=140

JEK=75

13)right angles:

JEF

JED

14)straight lines

DEF

To know more about protractor, visit:

https://brainly.com/question/1675387

#SPJ1

1. Four family members attended a
family reunion. The table below
shows the distance each person
drove and the amount of time each
person traveled.

Family Reunion Travel:

•Name
Hank
Laura
Nathan
Raquel

•Distance
176 miles
150 miles
112.5 miles
286 miles

• Travel Time
3 hours 12 minutes
2 hours 30 minutes
2 hours 15 minutes
4 hours 24 minutes

If each person drove at a constant rate, who drove the fastest (in miles per hour)?

A. Hank
B. Laura
C. Nathan
D. Raquel

Answers

If each person drove at a constant rate, the person who drove the fastest (in miles per hour) is: C. Nathan.

What is speed?

In Mathematics and Science, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using the following unit of measurement;

Miles per hour (mph).Kilometers per hour (kph).Meter per seconds (m/s).

How to calculate the speed?

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

For Hank, we have:

Speed = 176/3.2 = 55 miles per hour.

For Laura, we have:

Speed = 150/2.5 = 60 miles per hour.

For Nathan, we have:

Speed = 112.5/2.25 = 50 miles per hour (Fastest).

For Raquel, we have:

Speed = 286/4.4 = 65 miles per hour.

Read more on speed here: brainly.com/question/8163450

#SPJ1

Express the answers in simplest form. If a die is rolled one time, find the probability of (a) Getting a 6. (b) getting an even number (c) number greater than 3 (d) number greater than 0 (E) number greater than 4 and an odd number?​

Answers

a) 1/6 b) 1/2 c) 1/2 d) 1 e) 1/6

Answer:

a) 1/6

b) 1/2

c) 1/2

d) 1

e) 1/6

Step-by-step explanation:

a)Getting a six

=1/6

b)Gettingan even number =3/6=1/2

c)number greater than 3

=3/6=1/2

d)number greater than 0

=6/6=1

e)number greater than 4 and an odd number

=1/6

Calculate the height of the Zeta Tower as a percentage of the height of the Delta tower

Answers

The height of the Zeta Tower as a percentage of the height of the Delta tower is the 94.72%

How to find the the height of the Zeta Tower as a percentage of the height of the Delta tower?

Here we know that:

height of the Delta tower = 55m

The epsilon tower is 23% taller than the delta one, then the height is:

H = 55m*(1 + 0.23) = 67.65 m

And we know that the Zeta tower is 23 short than the epsilon one, then the height of this twoer is.

H' = 67.65m*(1 - 0.23) = 52.0905 m

The height of the delta tower is 55m, this is our 100%.

Then the height of the zeta tower written as a percentage will be:

(52.0905 m/55m)*100% = 94.72%

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

Can someone please help me

Answers

Answer:

Step-by-step explanation:

April shoots an arrow upward at the speed of 80 feet per second from a platform 50 feet high. The pathway of the arrow can be represented by using the equation h(t)=-16t^2+V₀t+h₀
a) What is the maximum height of the arrow?
b) About how many seconds will it take for the arrow it reach the ground?
c) How many seconds after launch will the arrow be 114 feet high?
I need this quickly please

Answers

a) To find the maximum height of the arrow, we need to find the vertex of the parabolic function. The vertex is located at t = -b/2a, where a = -16, b = V_0 = 80, and h_0 = 50. Therefore, t = -80 / (2 * (-16)) = 2.5 seconds. Plugging t = 2.5 into the equation gives:

h(2.5) = -16(2.5)^2 + 80(2.5) + 50 = 125 feet.

Therefore, the maximum height of the arrow is 125 feet.

b) To find how long it takes for the arrow to reach the ground, we need to find the value of t when h(t) = 0. Substituting h(t) = 0 and solving for t, we get:

0 = -16t^2 + 80t + 50
t^2 - 5t - 50/16 = 0
(t - 10/4)(t + 5/4) = 0

Therefore, t = 2.5 seconds or t = -1.25 seconds. Since the time cannot be negative, the arrow will hit the ground after approximately 2.5 seconds.

c) To find the time when the arrow is 114 feet high, we need to solve the equation h(t) = 114. Substituting h(t) = 114 and simplifying, we get:

-16t^2 + 80t + 50 = 114
-16t^2 + 80t - 64 = 0
t^2 - 5t + 4 = 0
(t - 4)(t - 1) = 0

Therefore, t = 1 second or t = 4 seconds. Since the arrow is at a height of 114 feet after it has been launched, the answer is t = 1 second.

calculate the distance that P is :
a. north of Q b.east of Q​

Answers

The distance of P at north of Q is 34.98 km.

The distance of P at east of Q is 19.39 km.

What is the distance of P?

The distance of P at the given directions is calculated by resolving the vector into vertical and horizontal components.

The distance of P at north of Q is calculated as follows;

Py = d sinθ

Py = 40 km x sin (61)

Py = 34.98 km

The distance of P at east of Q is calculated as follows;

Px = d cosθ

Px = 40 km x cos (61)

Px = 19.39 km

Learn more about component distances here: https://brainly.com/question/27264693

#SPJ1

Given the graph of y=f(x) below, find the value f(4).

Answers

The numeric value of the function at x = 4 is given as follows:

f(4) = 0.

How to obtain the numeric value of the function?

The expression for the numeric value of the function in this problem is given as follows:

f(4).

This means that the input is given as follows:

x = 4.

Passing a vertical line through x = 4 the value of y in which the vertical line crosses the graph is given as follows:

y = 0.

Hence the numeric value is given as follows:

f(4) = 0.

Missing Information

The graph is given by the image presented at the end of the answer.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

ASAPP Scott and Lana booked a cruise that departs from Seward, Alaska, but their flight flew into Anchorage, Alaska. The couple decided to travel from Anchorage to Seward on the Alaska Railroad's non-stop Coastal Classic route to enjoy the 117 miles of beautiful scenery. If the train had traveled 13 miles in 30 minutes, how long, in hours, was the non-stop train ride from Anchorage to Seward?

A. 4.5 hours
B. 18 hours
C. 3 hours
D. 9 hours

Answers

((30/13)*117)/60=. A. 4.5 hrs… I think

Given that d is indirectly proportional to e+8, if d = 2 when e = 8, what is e when d = 4?
(A)-6
(B)-2
(9)0
(E) 10

Answers

The answer is ten because when d is 2 and e is 8 there difference is 6 so you add 6 plus 4 to get ten
Other Questions
The act of collecting, processing, and storing information was greatly improved in the 1980s due to AnswerAexpanded use of desktop computingBgrowth in mobile telephone technologyCcreation of a trans-Atlantic telephone cableDformation of a system of government archives The major implication for managers using Maslow's need theory of motivation is: a. focus on higher order needs b. design self-actualizing jobs c. help employees satisfy lower order needs d. to invert the pyramid e. explore additional needs to satisfy 3. For each environment below, describe why you think it would have a high or lowrate of speciation.A rugged mountain terrain (1 points)A large, open forest (1 points)An island in the ocean (1 points) Let F be a field. Recall the definition of the gcd in F[x]: a gcd of a(x), b(x) is a common divisor of a(x) and b(x) in F[x] that is divisible by every common divisor in F[x].Show that if d(x) F[x] is a gcd of a(x), b(x), then so is c d(x) for every nonzero c F.Conversely, show that every gcd of a(x), b(x) has the form c d(x) for some nonzero c F. Identify two general ways chemical mutagens can alter DNA. Give examples of these two mechanisms.An egg or sperm: Virses (like HIV) are a mutagen that can effect someone via sexual intercourse, or passing of germs (not so much in the case of HIV, but other viruses are deemed mutagenic).Environmentally: Food additives are in many of the foods we eat, and pollutants such as cigarette smoke or car fumes are around us at all times. how many ways are there to choose 10 coins from a piggy bank containing 100 identical pennies and 80 identical nickels? hint: use combinations with repetition group of answer choices c(180,10) c(10010) c(80,10) c(100,10) * c(80,10) c(11,1) most electrical appliances are rated in watts. does this rating depend on how long the appliance is on? (when off, it is a zero-watt device.) explain in terms of the definition of power. At 25 C, Kb of CH3NH2 = 4.4 x 10-4. Which of the statements below correctly describes the equilibrium mixtures for the following equilibrium at the same temperature? CH3NH2(aq) + H2O(l) CH3NH3+(aq) + OH(aq)Products dominate in the equilibrium mixture.Reactants dominate in the equilibrium mixture.At equilibrium, approximately equal amounts of products and reactants HELP A sequence of transformations will be performed on a triangle to create its image. A combination of rotations, reflections, and/or translations will be chosen for the sequence.Which statement about the triangles is true?1. Answer choice : The triangles will be congruent, no matter which types of transformations are chosen for the sequence. Using the IS and LM equations to find the equation of the Aggregate Demand curve that shows the relationship between Y and P. Sketch your solutions for IS, LM, and AD on a graph. Math: Please very urgent, Ill give brainliest if its correct(a) [2 marks] The functionp(t) = 20 sin 360t + 100 models aperson's blood pressure while resting, where p(t) represents the blood pressure, in millimeters of mercury, and t is the time, in seconds. Sketch a graph of this function for 0(b) [2 marks] Find the period of the function in part {a), and describe what the period represents.(c) [4 marks] The functionp(t) = 20 sin 720t + 100 models aperson's blood pressure while exercising.Sketch a graph of this function for 0 < t < 3.(d) [2 marks] Find the period of the function in part (c), and describe what the period represents.(e) [2 marks] Find the amplitude of each function, and describe what the amplitude represents. luxury cruises are generally considered a very elastic good. assume luxury cruises companies Sachi borrowed $7,000 to purchase a used car. The total amount she will need to pay includes the $7,000 she borrowed, $2,400 interest, and $250 loan fees. What is the finance charge on Sachi's loan? O $250. $9,650 $2,650 $2,400. buy yuan at yuan8.5/ and sell yuan at yuan7.6/"". do you make a profit or loss? group of answer choices gain yuan0.9/ loss 0.014/yuan loss yuan71.43/ gain 1.111/yuan Suppose Pat's dog barks loudly at night and keeps Erin awake. If Erin has a clearly defined right to peace and quiet at night, then: A. Pat should offer to pay Erin not to enforce her right so he can keep his dog. B. Erin should offer to pay Aaron to get rid of his dog so that she can sleep at night. C. the government should impose a tax on dog ownership equal to the value that Aaron receives from owning his dog. D. the government should subsidize new soundproof windows for Erin and her neighbors. Cr2O72 + 3HNO2 + 5H+ 2Cr3+ + 3NO3 + 4H2Owhich element is reduced in this reaction? HELP PLS 60 POINTSA scatter plot is shown on the coordinate plane. scatter plot with points plotted at 1 comma 7, 1 comma 9, 2 comma 5, 3 comma 6, 3 comma 7, 5 comma 7, 6 comma 5, 7 comma 3, 9 comma 1, and 10 comma 1 Which two points would a line of fit go through to best fit the data? (3, 6) and (7, 3) (3, 7) and (9, 1) (1, 9) and (5, 7) (1, 7) and (2, 5) let y=f(x) be the particular solution to the differential equation dy/dx=x^2 + 1/ e^y with the initial condition f(1)=0. what is the value of f(2) ? 1.253 1.253 1.466 1.466 2.197 2.197 2.303 Consider the following concentration-time data for the decomposition reaction ABA+B.Time (min) 0 20 40 120 220[AB] 0.206 0.186 0.181 0.117 0.036Determine the value of the rate constant, k.Express your answer using three significant figures. (units= M/s) find the value of x please !!!