y = 2(x – 3)2 - 4
Convert to standard form

Answers

Answer 1

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

Answer 2

Answer:

y = 2x² - 12x + 14

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL

  = 2(x² - 6x + 9) - 4 ← distribute parenthesis

  = 2x² - 12x + 18 - 4

y  = 2x² - 12x + 14 ← in standard form


Related Questions

help me with this question please

help me with this question please

Answers

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Jack made $25 on Monday by cutting the grass and $17 on Tuesday by raking leaves. How much more money does he need to earn if he wants to buy a video game that costs $60

Answers

Answer:

Step-by-step explanation:

the answer is 18 :)

The amount he needs to earn to buy the video game of 60 dollars is 18 dollars.

How to find the remaining cost to buy the game?

Jack made 25 dollars on Monday by cutting the grass and 17 dollars on Tuesday by raking leaves. Therefore, the amount of money he needs to earn to buy a video game of 60 dollars can be calculated as follows:

He earns 25 dollars on Monday by cutting grass.

He also earns 17 dollars on Tuesday by raking leaves.

Therefore,

amount he needs to earn to buy a 60 dollars video game = 60 - 25 - 17

amount he needs to earn to buy a 60 dollars video game = 60 - 42

amount he needs to earn to buy a 60 dollars video game = 18 dollars

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145 millimeters, and a standard deviation of 6 millimeters. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by less than 0.5 millimeters

Answers

The probability that the sample mean would differ from the population mean by less than 0.5 millimeters is 0.3970.

Given mean diameter of 145 millimeters, standard deviation of 6 millimeters.

We have to find out the probability that the sample mean would differ from the population mean by less than 0.5 millimeters.

μ=145 and ,σ=60 ,n=39 then

s=60/\(\sqrt{39}\)=0.96

By finding the probability that the sample mean would differ by less than 0.5 mm equal to p value of Z when X=145+0.5=145.5 mm subtracted by the p value of Z when X==145-0.5=144.5 mm.

When X=145.5 mm

Z=(X-μ)/σ

By central limit theorem

Z=(145.5-145)/5

=0.5/0.96

=0.52

p value of 0.52=0.6985.

When X=144.5

Z=(144.5-145)/0.96

=-0.5/0.96

=-0.52

p value of -0.52=0.5-0.1985=0.3015

Required probability=0.6985-0.3015=0.3970.

Hence the probability that the sample mean would differ from the population mean by less than 0.5 mm is 0.3970.

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One side of a triangle has length twice that of another side, and the third side has length 6. If one angle of the triangle is 120°, then determine the possible values of the lengths of the sides of the triangle

Answers

Let's denote the lengths of the sides of the triangle as a, b, and 6, where side b is twice the length of side a.

According to the given information, we have the following relationships:

b = 2a (side b is twice the length of side a)

c = 6 (the third side has length 6)

To determine the possible values of the lengths of the sides, we can apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Applying the triangle inequality to our triangle, we get the following inequalities:

a + b > c

a + 2a > 6

3a > 6

a > 2

b + c > a

2a + 6 > a

a > -6 (This inequality doesn't provide any meaningful information as lengths cannot be negative.)

a + c > b

a + 6 > 2a

6 > a

Combining the inequalities, we find that 2 < a < 6.

Since side b is twice the length of side a, we have 4 < b < 12.

Therefore, the possible values of the lengths of the sides of the triangle are:

2 < a < 6

4 < b < 12

c = 6

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11. Which of the following sequences
are arithmetic? Select all that
apply.
A. 4, 1, -2, -5, -8,...
B. 9, 10, 11, -12, ...
C. 1.0, 1.2, 1.4, 1.6, ...
D. 1,1 1 1


Answers

Answer:A,B,C

Step-by-step explanation:

a because your subtracting 3 each time

b because 9+2 is 11 -10+-12 is 2

and c because your adding 2 tenths each time

gabriel has 268 miniture trains.he lines them up in 2 equal rows. how many trains are in each row

Answers

Answer:

134

Step-by-step explanation:

268/2=134

since its equal both rows should have the same number.

How can you compare and order rational and irrational number

Answers

Answer:

In the given numbers, one of them is rational while other one is irrational. To make the comparison, first make the given irrational number into rational number and then carry out the comparison. So, square both the given numbers.

answer

To compare rational and irrational numbers, you must first find rational approximations of the irrational numbers. You can approximate irrational numbers using perfect squares or by rounding.

I need help plz answer this

I need help plz answer this

Answers

Answer: A. (5)(5x+2y)

Step-by-step explanation:

5y + 3= 14

pleaseeeee help ​

Answers

Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

Answer:

2.2

Step-by-step explanation:

Properties needed:

Subtraction Property of EqualityDivision Property of Equality


First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.

5y + 3 = 14

      -3    -3

5y = 11

Then we need to divide 5 from both sides (division property of equality) to get y.

\(\frac{5y}{5} = \frac{11}{5}\)

And we get 2.2

Please mark brainliest!

I hope this helps!

Have a great day!

Which of the following is an example of the associative property of multiplication?

A) 7 · (3 · 5) = (7 · 3) · 5
B) 7 · 1/7 = 1
C) 7 · (3 · 5) = 7 · (5 · 3)
D) 7 · (3 + 5) = 21 + 35

Answers

The answer is D that’s was right on the test
Answer: D 7•(3+5)=21+35

(1 point) college officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. how many randomly selected student

Answers

Probability Theory

P (K) =\(\frac{n (K) }{n (S)}\)

P(K) : probability of selected K

n (K) : number of occurence of K

n (S) : number of all occurence

In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :

n (A) : the number of occurence of students who curry a gun

n (B) : the number of occurence of students who curry a knife

n (C) : the number of occurence of students who curry other weapon

and the number of all students is n ( A U B U C) -> union of sets

how many randomly selected student? in question, there is no specific about the student. so, we can answer with :

1) probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\)

2) probability of students who curry a knife

P (B) = \(\frac{n (B) }{n (AUBUC)}\)

3) probability of students who curry other weapon

P (C) = \(\frac{n (C) }{n (AUBUC)}\)

and if question want to estimate with percentage, we can multiply with 100%. example :

1) percentage of probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\) x 100%

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Evaluate the expression if a =
- 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.
4a - |3b + 2cl

Answers

Answer:

-13

Step-by-step explanation:

expression =4a-|3b+2c|

subtitute all values in the expression:

=4(-2) -|3(-3)+2(2)|

=-8-|-9+4|

=-8-|-5|

=-8-(5)

=-8-5

=-13

Note:if you need to ask any question please let me know.

The value of the expression from the variables  is -13

How to evaluate the expression from the variables

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

4a - |3b + 2cl

Also, we have

a = - 2, b = -3, c = 2, x = 2.1, y = 3, and z = - 4.2.

substitute the known values in the above equation, so, we have the following representation

4a - |3b + 2cl = 4 * -2 - |3 * -3 + 2 * 2|

Evaluate

4a - |3b + 2cl = -13

Hence, the expression from the variables  is -13

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HELP PLEASE!!! 100 POINTS!!

HELP PLEASE!!! 100 POINTS!!

Answers

Answer:1,3,4,6 are ploymorial

Step-by-step explanation: Its pretty easy, the short ones and the ones with fractions are non.

Answer:

1,3,4,6 are ploymorial

Step-by-step explanation:

Rewrite as a simplified fraction.3.16

Answers

The decimal number 3.16 in the form of the simplest fraction is 79/25.

The portion or part of the complete item is represented by a fraction. It stands for the equal components of the whole. The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.

Consider the decimal number,

Let x = 3.16

Then,

x = 3.16 = 316/100

The fraction then can be simplified as,

x = ( 158 × 2)/ (50 × 2)

x = 158/50

x = ( 79 × 2)/ ( 25 × 2 )

x = 79/25

Hence, the number 3.16 in the simplest fraction is 79/25.

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need help please!!!!!!

need help please!!!!!!

Answers

Answer:

b. MNL, NPM, and LMP

Explanation:

Since the rest of the choices include a no-M-point arc, choice b is the most reasonable.

Answer:

Option B

Step-by-step explanation:

In Option B, All the arcs contain the point M and all of them are major arcs. While in other options, there are some minor arcs as well as those arcs which don't contain the point M.

help
Use the diagram to complete the statement.
m∠ECF=

helpUse the diagram to complete the statement.mECF=

Answers

Answer:

  37°

Step-by-step explanation:

Angle ECF is vertical to angle ACG, so has the same measure. Angle ACG is the second acute angle in right triangle ACG, so is complemetary to angle CAG. It has measure ...

  ∠ECF = ∠ACG = 90° -∠CAG = 90° -53°

  ∠ECF = 37°

when computing the correlation​ coefficient, what is the effect of changing the order of the variables on​ r?

Answers

Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.

The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.

Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.

That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.

Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.

The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.

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Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1)

Answers

The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:

(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2

where (h, k, l) represents the center of the sphere and r represents the radius.

First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:

√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]

Simplifying, we get:

√[1 + 25 + 4] = √30

Therefore, the radius of the sphere is √30.

Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30

So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:

(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.

This equation represents all the points on the sphere's surface.

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find the exact value of the expression, if possible.arcsin[sin(9π/4)]

Answers

The exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

Step-by-step explanation:

We know that the range of the arcsine function is from -π/2 to π/2.

Now, let's evaluate sin(9π/4). Since one full rotation is equal to 2π radians, we can subtract 2π radians from 9π/4 until we get an angle between 0 and 2π.

9π/4 - 2π = π/4

So, sin(9π/4) is equal to sin(π/4).

Now, we know that sin(π/4) = 1/√2.

Therefore, we can evaluate the given expression as:

arcsin[sin(9π/4)] = arcsin[sin(π/4)]

= arcsin[1/√2]

The arcsine of 1/√2 is equal to π/4 or 45°, since the sine is positive in the first and second quadrants.

Hence, the exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

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Select ALL of the trinomials.
x^2+3
x-4
x^4-2x+1
x^4+x^3+2x+5
ax^2+bx+c

Answers

The trinomials is x^4-2x+1 and ax^2+bx+c.

What is trinomials?

An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.

Selecting  all of the trinomials:

\(x^4-2 x+1\)

Use the rational root theorem

\(=(x-1) \frac{x^4-2 x+1}{x-1}\)

\(\begin{aligned}& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)

This is a trinomials.

ax^2+bx+c

This is a trinomials.

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The trinomials is x^4-2x+1 and ax^2+bx+c.

What is trinomials?

An algebraic expression with three non-zero terms is called a trinomial. Trinomial expression examples: A trinomial with the variables x, y, and z equals x + y + z. A trinomial in one variable is 2a2 + 5a + 7 a. A trinomial with two variables, x and y, is xy + x + 2y2.

Selecting  all of the trinomials:

x^4-2 x+1

Use the rational root theorem

\($$\begin{aligned}& =(x-1) \frac{x^4-2 x+1}{x-1} \\& \frac{x^4-2 x+1}{x-1}=x^3+x^2+x-1 \\& =(x-1)\left(x^3+x^2+x-1\right)\end{aligned}$$\)

This is a trinomials.

ax^2+bx+c

This is a trinomials.

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Un agente de ventas compra un automóvil que promediaba 40 Km/gal. En la ciudad y 64 Km/gal. En carretera, según la publicidad. En un viaje reciente de negocios, utilizó 51 galones de combustible para recorrer 2,880 kilómetros. Si suponemos que el anuncio del rendimiento del combustible es correcto, ¿Cuántos kilómetros recorrió en la ciudad?

Answers

Respuesta: 640 millas

Explicación paso a paso:

Dado lo siguiente:

Eficiencia de combustible :

Ec = 40 km / gal

Er = 64 km / gal

Distancia en la ciudad (Dc)

Distancia en carretera (Dr)

Si la distancia recorrida = 2880 km

Es decir :

Dc + Dr = 2880 km

Dc = (2880 - Dr) - - - - - 1

Consumo (c) = 51 galones

Por lo tanto,

Dc / Ec + Dr / Er = c - - - - (2)

Sustituir 1 en 2

(2880 - Dr) / Ec + Dr / Er = c

2880 / Ec - Dr / Ec + Dr / Er = c

Dr / Er - Dr / Ec = c - 2880 / Ec

Dr (1 / Er - 1 / Ec) = c - 2880 / Ec

Dr = c - (2880 / Ec) / (1 / Er - 1 / Ec) - - - (3)

Sustituyendo por c = 51, Er = 64 y Ec = 40 en la ecuación 3

Dr = 51 - (2880/40) / (1/64 - 1/40)

Dr = 51-72 / (0.015625 - 0.025)

Dr = - 21 / - 0.009375

Dr = 2240 millas

Pero Dr + Dc = 2880

2240 + Dc = 2880

Dc = 2880 - 2240 = 640 millas

HELP ASAP!!!!NO LINKSSS!!!!
How many circles of radius 1 inch could fit in a circle with radius 5 inches (if you could rearrange the area of the smaller circles to completely fill the larger circle)?

Answers

One small circle has a circumference of 6.28
A big circle has a circumference of 31.4
31.4/6.28 = 5
You can fit 5 smaller circles into the larger circle

A grocery store chain introduces a new brand of cereal in several of its stores. The function B(w)=120w150+w2 for w≥0 models the number of boxes, B, in thousands, of the cereal sold after w weeks. The graph of this function is shown below.



Select the THREE true statements regarding the graph of B(w).
A
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.

B
Based on the zeros of the function, the number of boxes of cereal sold is 0 after 1,250 weeks.

C
Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.

D
Based on the asymptote of the function, the number of boxes of cereal sold will never fall below 800 after reaching the maximum.

E
Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.

Answers

The THREE true statements regarding the graph of B(w) are;

A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.

C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.

E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.

How to Interpret Quadratic Graph?

We are given the graph represented by the quadratic function;

B(w) = 120w/(150 + w²) for w ≥ 0 that models;

the number of boxes, B, in thousands, of the cereal sold after w weeks

From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct

Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct

Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.

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A grocery store chain introduces a new brand of cereal in several of its stores. The function B(w)=120w150+w2

geometry?????? help please

geometry?????? help please

Answers

Answer:

74 degrees

Step-by-step explanation:

180-59-47=74

The answer is x=74 dididjskksks

If m=65h then what would the constant of proportionality be?

Answers

Answer:

I have 72 baes but they don't love me

Answer:

it is helping to ensure

Mt. Everest is considered the tallest mountain in the world at 8,848 meters above sea level. In fact, the largest mountain in the world is Mauna Loa, in Hawai’i. Mauna Loa rises 4,170 meters from sea level to the top of the summit, but its base is deep under water. The base of the mountain is at −5,000 meters.A probe is dropped 7,500 meters straight down into Mauna Loa from its summit.

Answers

Answer:

bro this is answer or questions

Step-by-step explanation:

can u repeat at short

If y’all in 6 grade help each other out with the answer

Answers

Answer:

You got it, I have been busy and I am glad to see someone feeling the same way as me!

Answer:

what the question

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME JIMIN WILL BLESS YOU IF YOU DO

CAN SOMEONE PLEASE HELP ME JIMIN WILL BLESS YOU IF YOU DO

Answers

Answer:

see explanation

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY = ∠ YXZ , thus

7x - 7 = 5x + 3 ( subtract 5x from both sides )

2x - 7 = 3 ( add 7 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

(b)

∠ WXY = 7x - 7 = 7(5) - 7 = 35 - 7 = 28°

(c)

∠ YXZ = 5x + 3 = 5(5) + 3 = 25 + 3 = 28°

(d)

∠ WXZ = ∠ WXY + ∠ YXZ = 28° + 28° = 56°

Answer:

hello fellow army

Step-by-step explanation:

The square below represents one whole.
What percent is represented by the shaded area?
Pls

The square below represents one whole.What percent is represented by the shaded area?Pls

Answers

the answer is 34%
the square is 10 by 10 so one whole equals 100%
there is 34 squares coloured in so it’s 34%

adding fractions with unlike denominators worksheets

Answers

The simplification of the addition of two or more fraction with unlike denominator is:

Convert the denominator with like terms and then add the numerators.

Method of simplification of addition of fraction with unlike denominator is:

Calculate the least common multiple of all the denominator of unlike fraction.Convert the denominator of the fraction with like terms.Now add the numerator of the given fraction.Example : ( 1 / 2) + ( 3 / 5 )Least common multiple of 2 and 5 is 10.Multiply by ( 5 / 5) to ( 1/ 2) which is equal to ( 5 / 10 ).Multiply ( 2/ 2 ) to ( 3 /5 ) we get ( 6 /10).Add like fraction ( 5/10) + ( 6 /10) = ( 5+ 6 ) /10Result is 11 /10.

Therefore, to simplify unlike fractions find least common multiple and add the like fractions.

The given question is incomplete, I answer the question in general according to my knowledge:

Simplification of adding fractions with unlike denominators with  example?

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Other Questions
A 400 grams bird is flying at a constant speed of 7 m/s. What is the bird's kinetic energy ? Help! Formula of a rectangular prism. Scenario:Paul is an office manager at the law firm Janis, Barry, & Thompson. He has been with the firm for 14 years.Gina is a sales representative for Banks Hadley, a B2B office supply chain. She has been with Banks Hadley for 2 years.Paul has been tasked to save money on office supplies and consumables for 2022. The law firm has to tighten their belt due to handling less cases in 2021. Paul normally works with Dave from Office Barn every year. Janis, Barry, & Thompson has an account established with Office Barn and they are able to pay as they go on the company credit card. Paul and Dave have become good friends; they even go golfing together. Paul met with Dave last week to see if he had some wiggle room on his usual order and was offered a 6% discount. Paul happily brought that savings back to the partners of the law firm. The partners told him that he needed to do better since the firm was simply tightening their belt. He walked out of their meeting with his head hung low, and grumbled all the way back to his office.Gina just hung up the phone with Paul from Janis, Barry, & Thompson. She has a meeting with him tomorrow. She was excited but cautious. In her mind, Paul sounded rushed, monotone, and gruff on the phone. She decided to stay late at work to get the emailed quote list from Paul. She wanted to make sure she did sufficient prep for their meeting. She could blow off the friend Zoom happy hour, since this could be a huge account for her.Paul met Gina in the lobby of Janis, Barry, & Thompson. In the hallway he reminded her that he didnt have a lot of time for this meeting since it was last minute. They went to the conference room to chat. Gina happily gave a 15-minute professional sales presentation (using the emailed quote list from Paul) and explained that she was able to give a 10% discount if they signed a contract and paid for 50% of their products in advance. Paul said that he would need an account set up and would need the ability to use the company credit card. Gina said she would be happy to discuss that with her finance department. Paul told Gina that he needed to discuss this with the partners and that they would be in touch.As Paul walked back to his office, he thought Gina gave them a decent deal. But hes leaning toward Dave still. There has to be a way he can help Dave win this business. Paul said to himself "She just doesnt seem experienced enough to handle my orders. I am used to Dave."As Gina walked to her car she thought "Yikes, that guy was crusty. I was hoping to make this sale. I gave him the best offer in town. What more could he want? Ugh, I hope everyone in that office isnt like him. I may not want to deal with him as a client."Questions1.Can you frame this situation? Think about the types of frames we discussed in class.2. What is your perception of Paul? Gina 1 3 Which is the best estimate of 11. 113 2 4? O 4 O 6 o 22 O 33 If I sell 38 coookies for 41 each how much money will I make How and why did the U.S. initially stay out of World War II? 28 yo F who is eight weeks pregnantpresents with lower abdominal pain and vaginal bleeding. What the diagnose? A water tower, in the shape of a right circular cylinder, has a height that is 2 yards less than four times the radius. The volume is 224 cubic yards. What are the dimensions of the water tower according to immanuel wallerstein, which geographical area is exploited for its raw materials? What is the difference between nutation and barycenter?(I at least need 3 sentences minimum. thank u!) what is the definition of groupthink? a.when people in a group go along with the group decision. b.what occurs when groups from different departments disagree. c.the tendency for people in a group to think of the same solutions. d.the ability of the team to come up with more diverse solutions to a problem. e.the tendency for conflicts to arise in a group environment. 3 mi 1,622 yd 3 mi 1,038 yd = mi yd What kind of government was the Provisional government?DictatorshipDemocracyMonarchyCommunist Please help i don't knowA textbook store sold a combined total of 312 history and sociology textbooks in a week. The number of sociology textbooks sold was 52 less than the number of history textbooks sold. How many textbooks of each type were sold?number of history textbooks sold:number of sociology textbooks sold: Help with this question evaluate 2/6 + 1/3 + 1/2 = ? Two electric charges qa = 1. 0 c and qb = - 2. 0 c are located 0. 50 m apart. how much work is needed to move the charges apart and double the distance between them Suppose you are exploring how fertilizer runoff causes pollution in ponds and lakes. This kind ofon can lead to a harmful growth of algae in the water. Design a controlled experiment to answeris question: Does the amount of fertilizer in water affect the growth of algae?a. Write a hypothesis and identify the variables you will test. (2 points)valcb. Describe the procedure you will use to test your hypothesis. Include mention of theconstants and a control group. (4 points)c. How will you use the results of your investigation to support or refute your hypothesis? (2points)d. Explain how you can evaluate your methods to check for sources of error. (2 points)the If sin theta < 0 and tan theta > 0 then What was unique about the Anglo settlements in the 1800s?They came for cheap landThey came to convert the Native AmericansThey came to huntThey came to fight