please help!!!!!!! need the right answer in like before 15 minutes please

Please Help!!!!!!! Need The Right Answer In Like Before 15 Minutes Please

Answers

Answer 1

45 because it's 45 and I'm smart with a PhD in maths


Related Questions

h(x)
=
x² + 3x
4x + 27
Find h(-8)

Answers

I believe it is h= -11/5. I thought it was saying that x is -8, so that is what I have solved for. If x does not equal -8, then this answer will be incorrect.

Explanation:

Equation:
h(-8) = (-8^2) + 3(-8) / 4(-8) + 27

1) Remove parenthesis:
h • -8 = -8^2 + 3 • -8 / 4 • -8 +27

2) Simplify 8^2 to 64:
h • -8 = -64 + 3 • -8 / 4 • -8 + 27

3) Simplify 3 • -8 to -24:
h • -8 = -64 -24 / 4 • -8 + 27

4) Simplify -64 - 24 to -88:
h • -8 = -88 / 4 • -8 + 27

5) Simplify 4 • -8 to -32:
h • -8 = -88 / -32 + 27

6) Simplify -32 + 27 to -5:
h • -8 = -88 / -5

7) Regroup terms:
-8h = -88/-5

8) The two negatives make it positive and divide both sides by -8:
-8h = 88/5
h = -88/5 / 8

9) Simplify 88/5 /8 to 88 / 5 • 8:
h = -88 / 5 • 8

10) Simplify 5 • 8 to 40:
h = -88/40

11) Simplify - 88/40 to - 11/5:
h = - 11 / 5
*This fraction is in simplest form

Answer: h = - 11/5

Step-by-step explanation:

it is -8 because negative times negative is positive

(-8)


a. Generate the first ten terms of the Fibonacci sequence.

Answers

The first ten terms of the Fibonacci sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 and so on.

What is Fibonacci sequence and what are the first ten terms?

The Fibonacci numbers, sometimes known as Fn in mathematics, are a series of numbers. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.

means

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 + 34 = 55

34 + 55 = 89

Hence,the first ten terms of the Fibonacci sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 and so on.

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[tex]\Large \boxed{\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34}[/tex]

A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.

need help solving please

Answers

Answer: the answer is D

Both sides are equal to 5 radical 2

Step-by-step explanation:


d. Find the geometric mean of the term from part (c) and the first term of your sequence. What term of the sequence have you just found?

Answers

The geometric mean can be determined by multiplying the terms from part c and the first term of the sequence from part a and taking their square root.

The first term of the sequence from part a is 2 and the term from part c is 512.

Geometric mean of a sequence is the average value of a set of numbers, determined by multiplying the terms together and taking their root.

In general form, the geometric mean for a n number of terms is n√x1*x2*x3*…*xn

Since there are two terms 2 and 512, we will take the square root of the product.

Geometric mean=√2*512=√1024=32

For the geometric sequence as it is the mean, the term will be the 2nd term of the sequence

Hence, the geometric mean of the two chosen positive number 2 and 512 is 32 which is the 2nd term.

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consider inequality 12 < -3(x+4). The solution set of this inequality is x =

Answers

The solution set of this inequality is x = -8

What is inequality ?

A mathematical statement indicating an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

inequality

   12 < -3(x+4)

  12 <  -3x - 12

  12 + 12 < - 3x

     24  <  -3x

     - 8 < x

The solution set of this inequality is x = -8

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Write an explicit formula for each sequence. 4,1.5,-1,-3.5, . . . . .

Answers

I think the answer is -2.5n + 6.5.

How to work it out:

Look at how much it goes down by (since it's going down, put a negative sign)Find out the "0th term". In this case, you would add 2.5 to 4 to find out the 0th term.If the "0th term" is positive, put + … and if its negative, put - …So I think the answer is -2.5n + 6.5

True or False

When naming or labeling a line, it matters which points you use.

Answers

Answer:

true

Step-by-step explanation:

when naming or labeling a line it matters which points you use


Where did the formula for summing finite geometric series come from? Suppose the geometric series has first term a₁ and constant ratio r , so that S n= a₁ + a₁r+ a₁ r²+ . . +a₁ rⁿ⁻¹

a. Show that r S n = a₁r+ a₁ r²+ a₁ r³+ . . . . +a₁rⁿ .

Answers

The total of a geometric series is an unlimited number of terms with a fixed ratio between them.

If S n= a₁ + a₁r+ a₁ r²+ . . +a₁ rⁿ⁻¹ then rSn = a₁r + a₁ r²+ . . +a₁ rⁿ⁻¹+a₁ rⁿ.

What is the formula for geometric series?

The sum of a geometric series Sn  is given by:

[tex]$S_n=a(\frac{1-r^{n} }{1-r} )[/tex]

Given:

Sum of first n terms of the Geometric progression be

Sn = a₁ + a₁r + a₁ r² + . . + a₁ rⁿ⁻¹  ---(1)

On multiplying by r on both sides,

r Sn = a₁r + a₁ r² + . . + a₁ rⁿ⁻¹ + a₁ rⁿ  ----(2)

So, (2) − (1) gives,

[tex]rS_n-S_n=ar^{n} -a[/tex]

[tex]S_n(r-1)=a(r^{n} -1)[/tex]

Therefore, the sum of n terms of a GP is:

[tex]$S_n=a(\frac{1-r^{n} }{1-r} )[/tex]

Let the expression be r S n = a₁r + a₁ r² + a₁ r³ + . . . . + a₁rⁿ

Sum of first n terms of the Geometric progression is:

Sn = a₁ + a₁r + a₁ r² + . . + a₁ rⁿ⁻¹  

On multiplying by r on both sides, we get

rSn = a₁r + a₁ r²+ . . +a₁ rⁿ⁻¹+a₁ rⁿ  

Therefore, rSn = a₁r + a₁ r²+ . . +a₁ rⁿ⁻¹+a₁ rⁿ  

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Please someone help I don’t understand

Answers

Answer:

15. False, m<1 and m<3 are not vertical

16. False, m<2 and m<4 are vertical, so they must be the same

17. True, they are supplementary

18. True, they are also supplementary

19. 90 - 35 = 55

20. m<7 = m<4, so it's 42 degrees

21. 126-90 = 36 degrees

22. 115-90 = 25, which gives us the angle of m<4, which is vertical to m<7, which means m<7 is also 25.

Brainliest answer please.


Sketch the solid that results when the region enclosed by the given equations is revolved about the y -axis.

y = x²
y = 2 x

Answers

y = x² , y = 2 x are  the region enclosed by the given equations is revolved about the y -axis.

What exactly is a closed area?

All space between a floor and ceiling that is enclosed on all sides by solid walls or windows, except doors that stretch from the floor to the ceiling, is referred to as an enclosed area.

What do you mean by the region that a closed curve encloses?

The sum of all infinitely thin rectangles with height f(x), enclosed by the curve y=f(x), and the x-axis between x=a and x=b, is what we mean when we write baf(x)dx.

Whether contained or not?

Use enclosed at all times. No longer regarded as a regular variety, enclosed would even be mistaken for another word by many readers. Use enclose, encloses, and enclosing rather than inclose for other words that are similar to enclosed.

The graph is attached in equation y = x² , y = 2 x

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Evaluate the infinite geometric series 2/5 +4/25 + 8/125 + . . . . Enter your answer as a fraction.

Answers

An infinite geometric series is the outcome of an unlimited geometric sequence.

The infinite geometric series be 2/5 +4/25 + 8/125 + . . . . then the sum of the infinite geometric series is 2/3.

What is an infinite geometric series?

An infinite geometric series is the outcome of an unlimited geometric sequence. This series wouldn't have a finish. It is possible to calculate the sum of all finite geometric series. The terms in the sequence will grow steadily larger, but adding the larger numbers together will not provide a solution if the common ratio of an infinite geometric series is greater than one.

Given:

a(first term) = 2/5

r(common difference) = 2/5

Since, |r| < 1 the infinite series converges.

[tex]S_\infty[/tex] = a/1-r ; -1 < r < 1

[tex]S_\infty[/tex] = (2/5)/(1-2/5)

simplifying the above equation, we get

[tex]S_\infty[/tex] = (2/5)/(3/5) = 2/3

The sum of the infinite geometric series is 2/3.

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Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second
equation for a line passing through the given point that is perpendicular to the given line.
(-7, 0), y=-0.9x + 4.4

Answers

The equation of the line parallel and perpendicular are y = -0.9(x+7) and y = 10/9(x+7) respectively

Equation of a line

The equation of a line in point slope form is expressed as;

y - y₁ =m(x-x₁) (Parallel)

y - y₁ =-1/m(x-x₁)  (Perpendicular)

Given the following

Point = (-7, 0)

Slope = -0.9

Substitute

y -0 = -0.9(x-(-7))

y = -0.9(x+7)

Similarly for the perpendicular line

y -0 = -1/-0.9(x-(-7))

y = 10/9(x+7)

Hence the equation of the line parallel and perpendicular are y = -0.9(x+7) and y = 10/9(x+7) respectively

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In 2011, Tyson foods had sales of $32.266 billion, and in 2012, sales were $33.278 billion. Write a linear equation giving the sales y in terms of the year x. Then use the equation to predict the sales for 2013.

Answers

Considering the expression of a line and how to obtain it having 2 points, you obtain:

the linear equation giving the sales y in terms of the year x is y=1.012x - 2002.866the sales in 2013 will be $34.29 billion.

Linear equation o line

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:

m= (y2 - y1)÷ (x2 - x1)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Linear equation in this case

In this case, you want to obtaina linear equation giving the sales y in terms of the year x. You know:

In 2011, Tyson foods had sales of $32.266 billion.In 2012, sales were $33.278 billion.

So, being (x1,y1)= (2011, 32.266) and (x2,y2)= (2012, 33.278), the slope m can be calculated as:

m= (33.278 - 32.266)÷ (2012 - 2011)

Solving:

m=1.012

Considering point 1 and the slope m, you obtain:

32.266= 1.012×2011 + b

32.266= 2035.132 + b

32.266- 2035.132= b

- 2002.866= b

Finally, the linear equation giving the sales y in terms of the year x is y=1.012x - 2002.866

You can use the equation to predict the sales for 2013 as follow:

y=1.012×2013 - 2002.866

Solving:

y=1.012×2013 - 2002.866

y= $34.29 billion

Finally, the sales in 2013 will be $34.29 billion.

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State which are relations. Give their domain and range. Then tell if the relation is also a function. NUMBER 8

Answers

Answer:

Not a function; D: {2, 9}; R: {8, 4, 7}

mr. andrson is ordering pizzas for a class pizza party. pizza place has a special where he can buy 3 large pizzas for $18.75. at mario's pizzeria, he can buy 4 large pizzas for $22. if he needs to buy 12 pizzas, how much will he save if he buys the pizzas from mario's pizzeria instead of pizza place?

Answers

3+22>18.75.=12.34hop we this help to


Find the arithmetic mean a n of the given terms. a n₋₁ = 0.3, a n₊₁ = 1.9

Answers

The arithmetic mean a n of the given terms a n₋₁ = 0.3, a n₊₁ = 1.9 is

a n = 1.6.

What is direct variation?

a n₋₁ = 0.3, a n₊₁ = 1.9

a n = a [tex]n_{+1}[/tex] - a[tex]n_{-1}[/tex]

a n = 1.9 - 0.3

a n = 1.6

Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.

The formula y = kx is used to answer direct variation questions. If finding the proportionality constant is necessary, the answer is obtained by dividing y by x.

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For each equation, find the center and radius of the circle.
(x-1)²+(y-1)²=1

Answers

The equation of the circle (x - 1)^2 + (y - 1)^2 = 1 has a radius of 1 and a center located at (1 , 1).

The standard form of the equation of  circle is given by

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

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x - 1)^2 + (y - 1)^2 = 1, is in standard form, then

h = 1

k = 1

r = 1

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True or false an equation in the form of ax+by=c a>0 where a and b are not both zero and a,b, and c are integers with a greatest common factor of 1 can represent either a linear or non linear function

Answers

The equation in the form ax+ by=c a>0 where a and b are not both zero and a, b, and c are integers with greatest common actor  of 1 represent either linear or non linear function. Hence, this statement is true.

what is linear function and non linear function?

The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line.

Here,

• 'm' is the slope of the line.

• 'b' is the y-intercept of  line.

• 'x' is the independent variable.

• 'y'  is the dependent variable.

As the name suggests, a nonlinear function is one that is NOT linear. To put it another way, a nonlinear function's graph is not a line, which means that its graph can be anything other than a line.

Given that, ax+ by=c a>0 where a and b are not both zero and a, b, and c are integers with a greatest common factor of 1

ax+ by -c=0     [by transpose]

The general form of linear equation is ax+ by +c z +d=0

So, it is a binary first order equation of 'x' and 'y'.

Therefore, ax+ by=c a>0 where a and b are not both zero and a ,b, and c are integers with a greatest common factor of 1 can represent either a linear or non linear function.

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Use the box method to distribute and simplify (-5x+3)(x+6)

Answers

Answer:

-6x * 3

Explanations :

= - 5x + 3 * x + 6

= - 5x - x * 6 - 3

= - 6x * 3


The sum of an infinite geometric series is twice its first term.

a. A student says the common ratio of the series is 3/2 . What is the student's error?

Answers

The student's error is that the common ratio would not be equal to 3/2.

What is Common Ratio:

The general form of representing a geometric progression is a1, (a1r), (a1r2), (a1r3), (a1r4) ,... where a1 is the first term of GP, a1r is the second term of GP, and r is the common ratio.

Common Ratio Formula:

Common ratio,

r =a n / a n−1

where,

an  is the nth term of the geometric progression.

an−1 is the (n - 1)t h term of the geometric progression.

Now,

[tex]S_{infinity} = 2a_{1} \\\\= a_{1} / 1-r\\\\2a_{1} = a_{1} / 1-r\\\\= 1-r = 1/ 2\\\\r = 1/2 - 1\\\\r = 1/2[/tex]

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How can you determine whether two variables x and y for a real-life situation are, correlated?

Answers

To determine if two variables, X and Y, are correlated, we can use the two simple ways. One is to create a scatter plot simply—a scatter plot plots X and Y pair values. A scatter plot shows a diagram of correlations. We can also identify if the correlation formed is positive, negative, or non-existent. Calculating the correlation coefficient R and determining its p-value associated with R is also possible.

Correlation coefficient values are always between -1 and 1.

Where

-1 indicates a perfect negative linear correlation between the two variables

0 shows a perfect positive linear correlation between the two variables

1 shows a perfect linear correlation between the two variables, indicates

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2. Find the domain and range of the function shown in the graph. Write the domain and range
using interval notation.
O domain: [-3,2)(3,7]
range: [-6,-1) [1,5)
O domain: (-6,-1](1,5]
range: (-3,2][3,7)
O domain: (-3,2][3,7)
range: (-6,-1](1.5]
O domain: [-6,-1) [1,5)
range: [-3,2)(3.7]

Answers

By looking at the graph:

Domain: (-6, 1] U (1, 5]

Range:  (-3, 2] U [3, 7)

How to find the domain and range of the graphed function?

The domain is the set of inputs (horizontal axis) and the range is the set of the outputs (vertical axis).

By looking at the horizontal axis we can see that the first part goes from x = -6 to x = -1, this interval is (-6, 1]

(at x = -6 there is a open circle, so x = -6 does not belong to the domain)

Similarly, the second interval is (1, 5]

Then the domain is D: (-6, 1] U (1, 5]

To get the range we do the same thing, but we need to look at the vertical axis. The first interval goes from y = -3 to y = 2 and then y = 3 to y = 7, the range is:

R: (-3, 2] U [3, 7)

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ax+ 5x = 10b; solve for x

Answers

Answer:

[tex](a + 5) \times = 10b \\ \times = \frac{10b}{a + 5} [/tex]

The answer is
x
=
10
b
a

5
a

Match each expression to the correct point

Answers

Answer:

Step-by-step explanation:

f = -3/2

d = -[tex]\pi[/tex]

e = - [tex]\sqrt{8}[/tex]

Answer:

56892 that's it hope it helps


Draw a scale model of your classroom using any scale.

Answers

Answer: a scale model is a representation or copy of an object that is larger or smaller than the object being represented, (sorry if this wasnt what you were asking)

Step-by-step explanation:


Find the distance between each pair of points.
X(-2,5), Y(1,11)

Answers

The distance between the pair of points X(-2,5) and Y(1,11) is [tex]\sqrt{45}[/tex] units.

We can find the distance between the points X and Y by using distance formula.

The distance formula is used to find the distance between two defined points on a graph (in the absence of a scale).

Here the two points are  X(-2,5) and Y(1,11).

The distance formula for points (a,b) and (c,d) is given by :-[tex]\sqrt{(d-b)^2+(c-a)^2}[/tex]

Here,

(a,b) represents the point X(-2,5), and

(c,d) represents the point Y(1,11)

Putting the values of (a,b) and (c,d) in the distance formula, we get,

[tex]\sqrt{(11-5)^2+(1-(-2))^2}[/tex]

[tex]\sqrt{6^2+3^2} \\ \sqrt{36+9}\\ \sqrt{45}[/tex]

Hence, the distance is [tex]\sqrt{45}[/tex] units.

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Find the domain and range of the function represented by the graph (2 problems)

Answers

The domain of the function 13. is {-4≤x≥2} and the range of the function is {2≤x≥6} and The domain of the function 14. is {0.5≤x≥1.75} and the range of the function is {0.25≤x≥1.5}

The domain of the function means all the possible value that can be put in the function or the value of inputs

The range of the function means all the possible values that can be the result of various inputs or the value of output

On the graph the x coordinates represent the domain of the function that is possible inputs and y axis represent the range of the function that is all possible outcomes

The first problem (13.)

the  highest point's coordinates can be reed as (-4, 6) and the coordinates of lowest point are (0,2) . There is one more significant point , the second endpoint, whose coordinates are (2,3)

So, The domain of the function is {-4≤x≥2} and the range of the function is {2≤x≥6}

The Second problem (14.)

the  highest point's coordinates can be reed as (1.75, 1.5) and the coordinates of lowest point are (0.5, 0.25) .

So, The domain of the function is {0.5≤x≥1.75} and the range of the function is {0.25≤x≥1.5}

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Write a flow proof.
Given: ∠A and ∠C are right angles.
∠A B E ≅ ∠C B D, AE ≅ CD

Prove: BE ≅ BD

Answers

BE ≅ BD under corresponding parts of the congruent triangles.

What do we mean by a triangle's congruency?If all three corresponding sides and angles of two triangles are the same size, they are said to be congruent.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are moved, they will coincide.When two triangles satisfy the five congruence conditions, congruence exists.They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).

So,

Given:

∠A and ∠C are right angles.∠ABE ≅ ∠CBD, AE ≅ CD

So, we can say that △ABE ≅ △CBD is under AAS condition.

Then, we can conclude that BE and BD are identical. (Corresponding parts of the congruent triangles)So, BE ≅ BD.

Therefore, BE ≅ BD under corresponding parts of the congruent triangles.

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NEED THE ANSWER THANK YA

Answers

Answer:

A collection of different things

Step-by-step explanation:

I looked up the definition

Write –0.67 as a fraction.

Answers

Answer:

- [tex]\frac{67}{100}[/tex]

Step-by-step explanation:

there's a negative sign so the our fraction will also have a negative sign

notice each number and its position. 0 is at the ones position. 6 is at the tenths position. 7 is at the hundredths position. 1, 10, 100, 100, etc.

The denominator of a fraction will be 100, because that is the last position of this decimal.

the numerator is just the number value itself.

in total it is

- [tex]\frac{67}{100}[/tex]

Answer:

[tex] - \frac{67}{100} [/tex]

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what is the indian caste system PLEASE HELP ME WITH THIS PROBLEM Which statements correctly describe the effect of distance in determining the gravitational force and the electricallforce? Check all that applyThe gravitational force has an infinite reachThe electrical force has an infinite reachThe gravitational force is inversely proportional to the distance.The electrical force is inversely proportional to the distance.The gravitational force is inversely proportional to the square of the distance.The electricalforce is inversely proportional to the square of the distance.OOSave and Exit 3|x + 4| + 5 = 13. How do I solve this? - Hello! I am currently in the systematical process, of completing a FRQ, for my AP Psychology, course, and was wondering, if you could potentially, provide assistance; help, on this scenario, as follows:Prompt: Eighteen-year-old Jennifer is afraid of heights. She has sought professional help to overcome this paralyzing fear but to little avail. When she is higher than two stories, she is reminded of a frightening trip to a high observation deck as a child. Each time Jennifer knows she will be in a high place, she plans out her approach days ahead but is anxious and agitated until the moment arrives. She realizes her fears are irrational but cannot seem to help her behavior. A) Explain how the following approaches to psychology would help Jennifer understand the causes of her fears. Humanistic Psychoanalytic Cognitive Behavioral Sociocultural B) Explain how the following types of psychologists would attempt to examine Jennifers behavior. Counseling Developmental Which of the following is the main conflict in Our Town?the relationship between George and Emilythe rivalry between the Gibbs family and the Webb familyHowie Newsomes training of his horseJoe Crowells coming of age Please help. Its solving quadratic equations using the quadratic formula Sho needs to purchase a dress shirt for an upcoming job interview. He shops at kohls and sees that he can choose from different brands, including apt. 9, chaps, arrow, croft & barrow, and many more. The dress shirts come in a variety of colors, materials, and price points. Which type of competitor structure is illustrated?. Evaluate (7.26106)(1.3104) . Express the result in scientific notation. which substance does not have a definite shape, color, or texture? Consider the gain bode plot with slope of -20 db/decade. this means, everytime the input frequency increases by a factor of 10, the gain is reduced by ___________ db. The sum of a number and 7 divided by -3 is at most 15 Which arrow best represents the direction of the electric field vector at the position of the dot? Im stuck in this one How much cash is a firm generating through operating, investing, and financing activities? how much debt and equity has the firm issued to finance its assets? Part of resolving conflict includes picking a meeting place and figuring out away to discuss the conflict. Which conflict resolution step is this? Describe one of the disorders discussed in the chapter including the signs and symptoms, etiology and treatment for genetic and congenital disorders You get a loan to buy a car for $15,000 (including sales tax). You have a fair credit score. How much interest on the loan will you pay at the end of the first month? Babys heart rate is 20 er is inserted and co2 detector doesnt turn yellow whats the reason When it was completed in 1933, at 726 feet tall and made up of over 5 million barrels of concrete, it was the largest structure in the world. Which of the following is the correct name and location of this landmark?a.Hoover Dam in Utah and Nevada, b.Mount Rushmore in Colorado, c.Hoover Dam in Nevada and Arizona, dMount Rushmore in South Dakota