noah spent 150$ to buy movie tickets for 15 students and 3 adults. Adult tickets cost $4 more than student tickets Use A as the price for an adult price and S for the price of student tickets.

Answers

Answer 1

The amounts of each ticket that were purchased are given as follows:

Adult: $11.67.Student: $7.67.

How to obtain the amounts?

The amounts are obtained using a system of equations, for which the variables are given as follows:

Variable a: number of adult tickets.Variable s: number of student tickets.

Noah spent $150 to buy movie tickets for 15 students and 3 adults, hence:

3a + 15s = 150

a + 5s = 50

a = 50 - 5s

Adult tickets cost $4 more than student tickets, hence:

a = 4 + s.

The solution for s is then obtained as follows:

50 - 5s = 4 + s

6s = 46

s = 46/6

s = $7.67.

Then the price of an adult ticket is of:

7.67 + 4 = $11.67.

Missing Information

The problem asks for the amounts of each ticket that were purchased.

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Related Questions

What is the midpoint of the line segment with the endpoints J(–9, –4) and K(7, 8)? (–5, –1) (–2, 1) (–1, 2) (3, 5)

Answers

Answer:

(-1,2)

Step-by-step explanation:

Recall the midpoint formula:

[tex]\frac{x^1+x^2}{2}[/tex] to solve for the X coordinate and [tex]\frac{y^1+y^2}{2}[/tex] to solve for Y.

Replace the variables with their appropriate numbers.

[tex]X(\frac{-9+7}{2})[/tex]  [tex]Y(\frac{-4+8}{2})[/tex]

[tex]X(\frac{-2}{2} )[/tex]      [tex]Y(\frac{4}{2} )[/tex]

[tex]X(-1)[/tex]       [tex]Y(2)[/tex]

Therefore, the answer is (-1,2)

which of the following is equivalent to 0.00648?

Answers

6.48 × 10-3 is the answer
Have a great day

An amusement park is building a new water slide which is supported by beams of 40 feet and 25 feet. To support the weight of the ride effectively, a support beam (EF) needs to be added to hold the guide wires (AC and BD) in place. What will the height of the support beam need to be for this new ride?

Answers

As per the formula of area of triangle, the height of the support beam need to be for this new ride is 3.2 feet.

In math the term area is defined as “b” be the base and “h” be the height of a triangle, then the formula to find the area of a triangle is given by. Then the Area of triangle is calculated as,

=> A = (½) b h square units.

Here we have know that an amusement park is building a new water slide which is supported by beams of 40 feet and 25 feet.

Then based on the formula of area of triangle, the height of the support beam need to be for this new ride is calculated as,

=> 40 = 1/2 x 25 x h

=> h = 80/25

=> h = 3.2

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I need help with substitution the two parts are 4x+5y=48 and 7x-3y=-10. i need to find x and y

Answers

The solution to the simultaneous equation is x = 38 and y = 8

How to determine the value

From the information given, we have the equations;

4x+5y=487x-3y=-10

From equation (1), make 'x' the subject of formula;

4x = 48 - 5y

Divide both sides by 4

x = 48 - 5y/4

Substitute the value x in equation (2)

7(48 - 5y/4) - 3y = -10

expand the bracket

336 - 35y/4 - 3y = -10

Find the lowest common multiple

336 - 35y - 12y/4 = -10

336 - 47y/4 = -10

cross multiply

336 - 47y = -40

collect like terms

-47y = 376

y = 8

Substitute the value into equation 3

x = 48 - 5(8)/4

x = 48 - 10

x = 38

Hence, the values are 38 and 8

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Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 5, reflected across the x-axis, and shifted by 6 units left.


A. G(x) = -5ln (x - 6)


B. G(x) = 5ln (x + 6)


C. G(x) = -5ln (x + 6)


D. G(x) = 5ln (x - 6)

Answers

The function after transformation is G(x) = -5 ln (x+6) is the correct answer.

The correct answer is an option (C)

Here, the function is f(x) = ln x

A function f(x) is stretched vertically by a factor of 5.

As we know for a vertical stretch, we need to multiply the whole function by the factor of stretching.

If the stretching factor is m, then after stretching the function becomes

⇒ m × f(x)

Here, stretching factor m = 5

So the transformed function would be,

G(x) = 5 f(x)

⇒ G(x) = 5 ln x

Now, function is reflected across the x-axis, so the function becomes

⇒ G(x) = -5 ln (x+6)

Then the function is shifted by 6 units left, so after translation the function becomes

⇒ G(x) = -5 ln (x+6)

Thus, we can conclude that the function f(x) = ln x after transformation would be G(x) = -5 ln (x+6) is the correct answer.

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Chef Malik decided to spend the grant money to package and deliver his meals to reach more community members. Each vegetarian meal now costs $2.25 to make and each meat meal now costs $2.75. Chef Malik wants to serve at least 400 meals and spend no more than $800.

Answers

A solution for the given system of linear inequalities is the shaded area below the solid line.

How to write and solve the system of inequalities graphically?

In order to write a system of linear inequalities to describe this situation, we would assign variables to the cost of vegetarian meal and cost of meat meal, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the cost of vegetarian meal.Let the variable y represent the cost of meat meal.

Since each vegetarian meal cost $2.25 to make while each meat meal cost $2.75 and Chef Malik can spend no more than $800, a linear inequality which represents this situation is given by;

2.25x + 2.75y ≤ 800

Additionally, Chef Malik wants to serve at least 400 meals;

x + y ≥ 400

Next, we would use an online graphing calculator to graphically solve the system of linear inequalities.

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Complete Question:

Chef Malik decided to spend the grant money to package and deliver his meals to reach more community members. Each vegetarian meal now costs $2.25 to make and each meat meal now costs $2.75. Chef Malik wants to serve at least 400 meals and spend no more than $800.

Write and solve the system of inequalities graphically.

Dustin’s math classroom has 2 bulletin boards side by side. The teacher said the length of one

board is 1. 25 yards, and the other is 1. 75 yards. What is the total length in feet of the two

bulletin boards side by side?

Answers

The total length in feet of the two bulletin boards side by side is 9 feet.

The total length of the bulletin boards when calculated side by side will be done using addition operation. The expression that will form for calculation is -

The total length = length of one bulletin board + length of second bulletin board

Keep the values in formula -

The total length = 1.25 + 1.75

Performing addition on Right Hand Side of the equation

The total length of the two bulletin boards = 3 yards

The total length in feet = 3 × (3 feet)

Performing multiplication

Total length = 9 feet

The total length in feet is 9 feet.

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Andy is using wooden boards that are 0. 45 feet wide to build a deck. How many rows of boards are needed to completely cover a space that is 21 feet wide?

Answers

Andy is using wooden boards that are 0. 45 feet wide to build a deck. The number of rows of boards are needed to completely cover a space is 47 rows of boards.

Divide the total width (21 feet) by the width of each board (0. 45 feet):

21 / 0. 45 = 46. 666666

Round the result up to the next whole number:

47 rows of boards

In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

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an auto dealer has 8 different cars and 4 different trucks. how many ways are there to select two vehicles?

Answers

There are 66 ways to choose two vehicles from the dealer's inventory.

A combination is a grouping of items from a larger set in which the order of the items is irrelevant. In other words, it is a method of selecting a subset of items from a larger set without regard for their order of selection.

The formula C(n, k) = n! / (k! (n - k)!) can be used to calculate the number of combinations.

where n represents the total number of items in the set and k represents the number of items in the combination.

The exclamation mark (!) represents the factorial function, which is the sum of all positive integers up to a certain number.

The number of ways to select two vehicles from 8 cars and 4 trucks is 8 + 4 = 12 vehicles.

To find the number of combinations, we use the formula for combinations, which is:

C(n, k) = n! / (k! (n - k)!)

where n is the total number of vehicles and k is the number of vehicles we want to choose.

So, for n = 12 and k = 2,

we have:

So, putting the value in above formula:

We will get it as:

C(12, 2) = 12! / (2! (12 - 2)!) = (12 * 11) / (2 * 1) = 66

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A tank can be filled by an inlet pipe in 12 hours and emptied by a drain pipe in 16 hours. How long will it take to fill the tank if both pipes are left open?​

Answers

It will take 48 hours, to fill the tank if both pipes are left open simultaneously.

We are given the following data -

The time taken to fill the tank by inlet pipe = 12 hrs

so, the rate of filling = 1/12

The time taken to empty the tank by drain pipe = 16 hrs

so, the rate of emptying = - 1/16

Therefore, the total work done by both pipes can be given by the following formula -

(1/rate of filling) + (1/rate of emptying) = (1/rate of net change)

1/12 + (-1/16) = (1/Rn)

Therefore, (1/Rn) = 1/12 - 1/16 = 1/48

To find how long it will take to fill the tank, we need to find the reciprocal of the rate of net change:

1/Rn = 1/(1/48)

Rn = 48

So it will take 48 hours, to fill the tank if both pipes are left open.

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Solve this equation in the
given domain: 0 *give answer in radians*
3 sin (2x-4)=2
There should be 4 answers.

look at attached photo

Answers

Answer: 2.294524311274043, 4.294524311274043, 6.294524311274043 and 8.294524311274043 radians.

Step-by-step explanation: We can start by isolating the sin function on one side of the equation:

sin (2x-4) = 2/3

Next, we can use the inverse sine function (sin^-1) to find the value of 2x-4:

2x-4 = sin^-1(2/3)

We know that the domain of the inverse sine function is [-1,1], so the value of 2/3 falls in that range. To find the value of x, we can add 4 to both sides and divide both sides by 2:

x = (sin^-1(2/3) + 4) / 2

The value of sin^-1(2/3) is approximately 0.5890486225480862 radians and that's the first solution in the range [0, pi], and we can add multiples of pi to get the other solutions.

x = (0.5890486225480862 + 4) / 2 = 2.294524311274043 radians (in the range [0, pi])

x = (0.5890486225480862 + 4 + pi) / 2 = 4.294524311274043 radians (in the range [pi, 2pi])

x = (0.5890486225480862 + 4 + 2pi) / 2 = 6.294524311274043 radians (in the range [2pi, 3pi])

x = (0.5890486225480862 + 4 + 3pi) / 2 = 8.294524311274043 radians (in the range [3pi, 4*pi])

So there are four solutions to this equation: 2.294524311274043, 4.294524311274043, 6.294524311274043 and 8.294524311274043 radians.

[tex]3\sin(2x-4)=2\implies \sin(2x-4)=\cfrac{2}{3}\implies 2x-4=\sin^{-1}\left( \cfrac{2}{3} \right) \\\\\\ 2x=\sin^{-1}\left( \cfrac{2}{3} \right)+4\implies x=\cfrac{\sin^{-1}\left( \frac{2}{3} \right)+4}{2} \\\\\\ x=\cfrac{\sin^{-1}\left( \frac{2}{3} \right)}{2}+2\implies x\approx\cfrac{0.73}{2}+2\implies \stackrel{II~Quadrant}{x\approx 2.365}\hspace{5em}\stackrel{III~Quadrant}{\stackrel{\frac{\pi -0.73}{2}+2}{x\approx 3.206}}[/tex]

what is D=8 cm and R =4.7 in ,

Answers

The circumference of the circles are 25.12 cm and 29.516 in

How to determine the circumference of the circle

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

(a) D = 8 cm and (b) R = 4.7 inches

Given the diameter, the circumference is

C = πD

So, we have

C = 3.14 * 8 cm = 25.12 cm

Given the radius, the circumference is

C = 2πR

So, we have

C = 2 * 3.14 * 4.7 in = 29.516 in

Hence, the circumference is 29.516 in

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Complete question

What is the circumference of the circle given its diameter (D) of its radius (R)

(a) D = 8 cm and (b) R = 4.7 inches

how do i find the square root of a circle

Answers

Answer: by putting some clothes on

Step-by-step explanation:

comon man put some clothes on man do it for the kids

solve for x.
2x°
24°

Answers

Answer: x = 33°

Step-by-step explanation: 2x° + 24°-24 = 90°-24 2x/2 = 66/2 x = 33°

if 750 amounts to 885 in three years at a simple interest, find the rate of interest?

PLEASE ANSWER THE QUESTION ITS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ​

Answers

Answer:

The Rate of Interest is 6%.

Step-by-step explanation:

S.I= Amount - Principle

S.I=885-750=135.

Rate= S.I*100/(P*T)

Rate=(135*100)/(750*3)

Rate=6%

Simple Interest:

Simple interest is a quick and easy method of calculating the interest charge on a loan.

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Pleas answer these questions..

Answers

Refer to the image attached.

Please help!!!

What are some of the important steps to consider when solving an exponential or logarithmic equation? How can identities and logs help you to solve these equations? How are identities and logarithms confusing? Cite examples that help illustrate your ideas, and show steps to solve such equations in your post. Ask clarifying questions about anything you find confusing

Answers

Solving exponential and logarithmic equations requires a strong understanding of the properties of exponents and logarithms, as well as the use of logarithmic identities and inverse operations. It is important to simplify expressions and isolate the variable using basic algebraic operations, logarithmic identities, and inverse functions.

When solving exponential or logarithmic equations, there are several important steps to consider:

Simplify the equation using basic algebraic operations, such as multiplication, division, addition, and subtraction.

Isolate the exponential or logarithmic expression on one side of the equation.

Use the properties of exponents or logarithms to simplify the expression, if possible.

Use logarithmic identities such as logarithmic rules and change-of-base formula to simplify the expression.

Solve for the variable by using inverse operations.

Check your answer by substituting it back into the original equation and verifying that both sides are equal.

Identities and logs can be helpful in solving exponential and logarithmic equations because they provide a set of rules that can be used to simplify expressions. For example, logarithmic identities such as log(a * b) = log(a) + log(b) and log(a/b) = log(a) - log(b) can be used to simplify expressions containing products and quotients.

However, identities and logarithms can also be confusing because they involve complex concepts and require a solid understanding of logarithmic properties. This can make solving exponential and logarithmic equations challenging for some students.

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Help meeee thx I don’t know how to do this

Answers

Answer:

There are 36 pink blocks in the bin

Step-by-step explanation:

[tex]45\% \text{ of } 80 = 0.45(80)= 36[/tex]

I’m pretty sure it’s 36, we took a test on dis before

A publishing industry report predicts that magazine subscriptions will drop by 8% each year,
If this prediction is correct, then how many subscribers will a magazine with 85,630
subscribers have in 8 years?

Answers

Suppose the prediction of an annual drop in magazine subscriptions of 8% is correct. In that case, the number of subscribers that a magazine with 85,630 subscribers will have in 8 years, using an exponential function, is 43,947.

What is an exponential function?

The exponential function is an expression in the form of f(x) = bˣ, where the b constant is called the base and the x variable is called the exponent.

Exponential functions may describe exponential growth or exponential decay.

Exponential decay refers to a decrease or drop, where the decay rate is known.

The annual drop in magazine subscriptions = 8%

The number of current magazine subscribers = 85,630

The number of years for the prediction = 8 years

Decay factor = (1 - 8%) = 0.92

The number of magazine subscribers in 8 years = 85,630 x 0.92^8

= 85,630 x 0.5132189

= 43,947

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Use the figure to complete the statement. If not similar choose not similar

Answers

Answer:

The answer is side side side (SSS)

Answer:

SSS Similarity

Step-by-step explanation:

121/9 = 8/6 = 16/12

Similar by SSS Similarity

pls help fast it due today

Answers

Answer:

ch.1 = 12x1.2=14.4

ch.2=10.5x1.2=12.6

ch.3=39.3x1.2=47.16

Step-by-step explanation:

You just have to multiply all the chapters by 1.2

i think if im wrong im sorry

Answer: 14.4, 12.6, 49.16

Step-by-step explanation:

Multiply each number by 1.2

12x1.2=14.4

10.5x1.2=12.6

39.3x1.2=49.16

chapter 1 : 14.4

chapter 2: 12.6

chapter 3: 49.16

Find the indicated real n the root(s) of a. n=9, a=-512

Answers

[tex]\sqrt[9]{-512}\qquad \begin{cases} -512=-2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\cdot -2\\ \qquad 2^9 \end{cases} \\\\\\ \sqrt[9]{(-2^9)}\implies -2[/tex]

the feather on an arrow form two congruent parallelograms. the parallelograms are reflection of each other over the line that contains their shared side show that m​

Answers

They are congruent because 2n

In the Olympic National Park, there are currently 3310 squirrels,
and the population is increasing at an annual rate of 4%.
a. Write an exponential function to model the squirrel
population in terms of the number of years from now.
b. Explain what each value in the model represents.
Dredict the number of couvrole that will be in the region

Answers

a. 3310 • 1.04^x
b.
3310 - population of squirrels
1.04 - rate that squirrel population increases
^x - number of years

Question Down Below: (Please i really need to complete this right now) Please anyone :(

Answers

The inequality to represent the constraints will be:

x + y ≥ 325

x + 2y = 600

How to calculate the inequality?

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Let x = number of vegetarian meals

Let y = number of meats.

The inequality to represent the constraints will be:

x + y ≥ 325

x + 2y = 600

In this case, the daily budget is 600.

Subtract the equations

y = 275

Number of meats = 275

Number of vegetarian meals = 325 - 275 = 50

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Determine the solutions of the equation. What solution makes sense for the situation?

Answers

The dimensions of the rectangle are 8 inches as width and 13 inches as length.

How to calculate the equation?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

The equation is given as:

x² + 5x - 104.

x² + 13x - 8x - 104

x(x + 13) - 8 (x + 13).

x - 8 = 0

x = 0 + 8

Width = 8

Length = x + 5

= 8 + 5.

= 13

The width is 8 inches and length is 13 inches.

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Determine the solutions of the equation. What solution

makes sense for the situation?

A rectangle has a length that is 5 inches greater than its

width, and its area is 104 square inches. The equation (x

+5)x = 104 represents the situation, where x represents

the width of the rectangle.

(x + 5)x = 104

x2 + 5x - 104 = 0

What are the dimensions of the rectangle?

Dylan drove from Liverpool to Sunderland at an average speed of 50 mph for 3 hours and 30 minutes. He then drove from Sunderland to Edinburgh at an average speed of 65 mph for 2 hours. Work out how many miles Dylan travelled in total.​

Answers

Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

The Lockheed Martin F-22
Military Raptor can travel
3,000 miles in 2 hours.
What is it's top speed?

Answers

Answer:

1,500

Step-by-step explanation:

It's preetty fast but it cannot be the record holder of " Lockheed SR-71 Blackbird " Which it's top speed i 2,100 miles per hour !!

Can someone help me please? I'm struggling :(

Answers

Answer:

Ariel's plant is 1.6 inches taller than Dyani's.

It doesn't seem that you can multiply the measurement of Dyani's plant anymore than Ariel's. So I believe that would be 0 inches.

Step-by-step explanation: You can multiply Dyani's measurement with number like 1.0, 1.2, etc. You still wouldn't be able to multiply it anymore.

I hope this helps!

WXYZ is a parallelogram. The position vectors of W, X and Y are (2,1), (6,3) and (4,7) respectively. Determine in the form (x,y) the vectors, WX, XY, WZ, OZ

Answers

In the parallelogram, the coordinates form of the vectors WX, XY, WZ, OZ are (18,3), (24, 21), (2x, y)  and (0,0).

The term coordinate in math is known as the set of values that represents the exact position on the coordinate plane

Here we know that WXYZ is a parallelogram and the position vectors of W, X and Y are (2,1), (6,3) and (4,7) respectively.

Then the value of the coordinate vectors are calculated as,

=> WX = (2,1) x (6,3) = (18, 3)

And the value of XY is calculated as,

=> XY = (6,3) x (4,7) = (24, 21)

And we know that the value of Z is (x, y), then the vector is calculated as,

=> WZ = (2,1) x (x, y) = (2x, y)

Finally the value of OZ is calculated as,

=> OZ =(0,0)  x (x , y) = (0, 0)

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A parking lot is 80 feet wide by 120 feet long. If the length and width are increased by the same length, what polynomial represents the area of the new lot? What is the new area of the increase is 25 feet? The equation, 3(3x - 10) = 5(x +10) shows the relationship between the perimeter of an equilateral triangle and the perimeter of a regular pentagon.What is the perimeter of the pentagon?The equation, 3(3x - 10) = 5(x +10) shows the relationship between the perimeter of an equilateral triangle and the perimeter of a regular pentagon.What is the perimeter of the pentagon?1002050150 What is the chief claim of "what to the slave is the fourth of july?" a. black people deserve equal treatment and status in the united states. b. slavery is unconstitutional, and it should be abolished. c. black people are deserving of more respect. d. the tradition of slavery in the united states has harmed the black population. How widely is a police report viewed within the criminal justice field and why? What are the negative consequences of a poorly written or incomplete report? Let F(s)=5s2+4s+4 F ( s ) = 5 s 2 + 4 s + 4 . Find a value of d d greater than 0 0 such that the average rate of change of F(s) F ( s ) from 0 0 to d d equals the instantaneous rate of change of F(s) F ( s ) at s=1. s = 1. Left ventricle: Pumps blood to all parts of the body expect the _________ Blood is _____ in oxygen and ______ in carbon dioxide.Finish the sentence consider steady one-dimensional heat conduction through a cylindrical or spherical layer. what can you say about the rate of heat transfer through the layer if f(x) = 4x^3+24x^2+41x+15 and x+3 is a factor of f(x) then find all of the zeros of f(x) algebraically 1. Assessment: Which detail from the text bestdemonstrates why healthy eating is animportant form of self-care? A. "Actually, you cannot survive more than a few days without food or water."(Paragraph 7) B. "You should aim for a balanced diet and avoid things such as too much caffeine and sugar." (Paragraph 7) C. "Remember that when your body is healthy and in nutritional balance, you're bound to feel your best - and feeling your best can boost your emotional health." (Paragraph 7) D. "It's true that exercise can boost your mood and release stress." (Paragraph 9) 16x + y - 128x - 20y + 292 = 0Find the focal radius of the ellipse and the points at which the two foci sit. the peptide bond group of answer choices is formed by elimination of water between two amino groups in an amindo acid limits the possible orientations of the peptide backbone in a protein has acidic and basic characteristics all of these g 2. Write an inequality statement whose solution is an empty set.3. Write an inequality statement whose solution is some but not all real numbers. Graph the solution on a number line.4. Write an inequality statement whose solution is all real numbers. Graph the solution on a number line.5. Write an inequality statement whose solution is exactly one number. Graph the solution on a number line. a client seeks medical attention for the skin lesion shown. what should the nurse document as this type of lesion? What are the explicit equation and domain for an arithmetic sequence with a first term of 9 and a second term of 1?Group of answer choicesan = 9 1(n 1); all integers where n 1an = 9 1(n 1); all integers where n 0an = 9 8(n 1); all integers where n 0an = 9 8(n 1); all integers where n 1 Alexandra invested 40% of his money in mutual funds, 40% in real estate, and 20% in stocks. If the value of the money that he invested in mutual funds, real estate, and stocks grew by 2%, 7%, and 11% respectively, what was the average growth on his total investment?Answer is: 5.80% I don't know the steps to get this answer a and b are parallel. Find the missing angles. under the accrual basis of accounting, costs used to generate revenue are recorded as expenses: what are the two main metals that make up the outer and inner core? The chemicals released by burning petroleum in car engines contribute to what local and global effects?A. acid rain and UV radiationB. fog and radioactivityC. smog and global warmingD. cloudy weather and ozone buildup count the number of cells in each slide