Factor-
2x^2+5x+3

Answer choices:
1. (2x+1)(x+3)
2. (2x+5)(x+1)
3. (2x+3)(x+1)
4. The Polynomial Is Prime

Factor-
3x^2+10x+4

Answers
1. (3x-4)(x-1)
2. (3x-2)(x-2)
3. (3x-4)(x+1)
4. The Polynomial Is Prime

Factor -
8x^2+10x-3

Answers
1. (2x-1)(4x+3)
2. (2x+3)(4x-1)
3. (8x+1)(x-3)
4. The Polynomial Is Prime

Factor-
6x^2-7x-4

Answers
1. (2x+2)(3x-2)
2. (6x+2)(x-2)
3. (6x-4)(x+1)
4. The Polynomial Is Prime

Factor Completely
2x^2+x-28

Answers
1. (2x+1)(x-28)
2. (2x-7)(x+4)
3. (2x+7)(x-4)
4. (2x-7)(2x+8)​

Answers

Answer 1
1. (2x + 3)(x + 1)
2. Prime
3. (4x - 1)(2x + 3)
4. Prime
5. (2x - 7)(x + 4)
Answer 2

Step-by-step explanation:

(2x+3)(x+1)prime(2x+3)(4x-1)The Polynomial Is Prime (2x-7)(x+4)

Related Questions

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.

Answers

The steps in evaluating each of the following expressions is shown below.

What is an expression?

An expression can be defined as a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.

How to evaluate the given expressions?

15 - 35/7 - 2 + 3 - 4

15 - (35/7) - 2 + 3 - 4 (bracket and division)

15 - 5 - 2 + 3 - 4 (regroup)

15 + 3 - 5 - 2 - 4 (subtract and add)

18 - 11 = 7.

Expression 2.

10 + 2(9 - 5) - 16/18

10 + (2 × 4) - 8/9 (bracket and division)

10 + 8 - 8/9 (add)

18 - 8/9 (subtract)

162/9 - 8/9 = 17 1/9 or 154/9.

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Complete Question:

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.

A. 15 - 35/7 - 2 + 3 - 4

B. 10 + 2(9 - 5) - 16/18

Which equation could be used to find the length of the hypotenuse?

Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared

Answers

The equation which could be used to find the length of the hypothenuse is; 5 squared + 8 squared = c squared.

Which equation could be used to find the length of the hypothenuse?.

It follows from the task content that the equation which could be used to find the length of the third side be determined.

Hence, since it follows from Pythagoras theorem that the square of the hypothenuse is equivalent to the sum of the squares of the two other sides of a right triangle.

Hence, the required equation is; 5 squared + 8 squared = c squared.

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Answer:

The answer is A
5 squared + 8 squared = c squared

Step-by-step explanation:

A _____ is an interval estimate of an individual y value, given values of the independent variables. Group of answer choices prediction interval confidence interval interval estimation regression

Answers

A confidence interval is an interval estimate of an individual y value, given values of the independent variables.

According to statement

we have to find a interval which give an estimate of an individual y value, given values of the independent variables.

Confidence interval tells that more than just the possible range around the estimate. It also tells about how stable the estimate is. A stable estimate is one that would be close to the same value if the survey were repeated.

So, A confidence interval is an interval estimate of an individual y value, given values of the independent variables.

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WILL MAKE BRAINLIEST!! Solve for b.

Answers

Answer: 98

Step-by-step explanation: 180 - 82 = 98

180 - 80 = 100, and 100 - 2 is 98.

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

Answers

The correct answer is  8.5 in.

What is Heron's formula in math?Heron's formula, formula credited to Heron of Alexandria for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides: Area = Square root of√s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

we know that

The formula of area of triangle is equal to

             [tex]A = \frac{1}{2} (b) (h)[/tex]

We have

b = BC = 6 in

h = AD = x in

substitute

[tex]A = \frac{1}{2} (6) (x)[/tex]

[tex]A = 3x^{2} in^{2} ..................(1)[/tex]

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

Let  a,b,c be the lengths of the sides of a triangle.  

The area is given by:-

[tex]A = \sqrt{p(p-a) (p-b) (p-c)}[/tex]                     where p is half the perimeter

[tex]p = \frac{a +b+ c}{2}[/tex]

a = 9 in , b= 9 in, c = 6 in

[tex]p = \frac{9 + 9 + 6}{2} = 12 in[/tex]

Find the area

[tex]A = \sqrt{12( 12 - 9) (12-9) (12 - 6)}[/tex]

[tex]A = \sqrt{12 (3)(3)(6)}[/tex]

[tex]A = \sqrt{648}[/tex]

[tex]A = 25.46 in^{2}[/tex]

Substitute the value of the area in the equation 1 and solve for x

[tex]A = 3x in^{2}[/tex]

25.46 = 3x

x = 25.46/3

x = 8.5 in

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The complete question is -

HELP PLEASE! Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

A. 8 in.

B. 11.3 in.

C. 8.5 in.

D. 6.2 in.

An expression is shown below:
f(x) = 5x^2+ 2x - 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
(2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or
minimum? What are the coordinates of the vertex? Justify your
answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that
you can use the answers obtained in Part A and Part B to draw the
graph. (5 points)
(10 points)

Answers

Answer:

a: (-1,0) , (3/5,0)

b:(-0.2,-3.2). It will be a minimum

c: To graph, you would first find the vertex using (-b/2a) and then plug that back into the equation to find the y coordinate of the vertex. Once you have the vertex plotted, you can then find the x-intercepts. This can be found by factoring the equation and finding the zeros. These 3 points you plot are enough to graph the line.

Step-by-step explanation:

For showing work on part a:

Turn 5x^2+2x-3 into

(5x^2+5x) (-3x-3)

5x(x+1) -3(x+1)

Finally:

(5x-3)(x+1)

The zeros from that are -1 and 3/5

This Stem-and-Leaf Plot represents the heights of the students on Ralph’s basketball team. One student’s height is missing from the plot. If the mean height of all the students on the team is 61 inches, what is the missing height?

A. 55 in.
B. 59 in.
C. 61 in.
D. 65 in.

Answers

The missing height is 65.

What is the missing height?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Missing height = (mean x total number of students) - sum of existing heights

Sum of existing heights = (54 + 55 + 56 + 61 + 63 + 64 + 70 ) = 423

Missing height = (8 x 61) - 423 = 64

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party planners recommend that, for every eight quests, two orders of appetizers be provided. which function reflects this ratio

Answers

The ratio guest to appetizers at the party was 4 guest per appetizer.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Ratio of guest to appetizers = 8 guest / 2 appetizers = 4 guest per appetizer.

The ratio guest to appetizers at the party was 4 guest per appetizer.

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Other than translation, what transformation is used to create this frieze pattern?

180° rotation

vertical reflection

horizontal reflection

translation

Answers

Other than translation, the transformation that is used to create this frieze pattern is; B: Vertical Reflection

How to Identify the Transformation?

Now, we see all the Frieze Patterns on top are being transformed using Translation as it is the exact same pattern throughout the top.

Now, for the bottom we see that is is simply a reflection of the one on top and so it is a vertical reflection because it is reflected across the x-axis.

A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

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Write the factored form of an equation that has the zeros 4 and -7.

Answers

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

What is the factored form of an equation that has the zeros or roots 4 and -7?

Roots are simply the points where the graph intercepts with the x-axis. ( y = 0 )
That is, y = 0 the roots

Given the roots of the equation;

4-7

Now, at x = 4,

x = 4

x - 4 = 0

y = ( x - 4)

Also, at x = -7,

x = -7

x - ( - 7 ) = 0

x + 7 = 0

y = ( x + 7 )

Hence; for the equation with the given roots; 4 and -7 will be;

y = ( x - 4)( x + 7 ).

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

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find the values of A and B
please help giving brainliest

Answers

Answer:

A=3Bz/2

B=2A/3z

Step-by-step explanation:

if you need more explanation you can ask me :)

A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft. what is the period of simple harmonic motion?

Answers

The period of simple harmonic motion is T = 4.19 seconds:

For given question,

A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft.

So, we have mass (m) = 16 pounds

spring constant (k) = 36 lb/ft.

Let T be the period of simple harmonic motion.

Using the formula for the period of simple harmonic motion,

⇒ T = 2π√(m/k)

⇒ T = 2 × π × √(16/36)

⇒ T = 2 × π × √(0.444)

⇒ T = 2 × π × 0.666

⇒ T = 1.333 × π

⇒ T = 4.19 seconds

Therefore, the period of simple harmonic motion is T = 4.19 seconds

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Latoya, Kevin, and Milan have a total of $117 in their wallets. Milan has 4 times what Latoya has. Latoya has $9 less than Kevin. How much do they have in
their wallets?

Answers

Answer:

Step-by-step explanation:

Let Kevin have x dollars. Then Latoya has x - 9 dollars and Milan has 4(x - 9) dollars.

x + (x-9) + 4(x-9) = 177

7x - 40 = 177

7x = 217

x = 31

Kevin has $31

Latoya has 31 - 9= $22

Milan has 4*24 = $96

A box of chocolates contains hard-centred and soft-centred chocolates in the ratio 5 : 2. If there are 49 chocolates in the box, how many are hard-centred and how many are soft- centred?
Hard-Centred___________ Soft-Centred__________

Answers

Hard centered: 35
Soft centered: 14

There will be total 14 hard centred and 14 soft centred choclates in the box.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that in the question hard-centred and soft-centred chocolates in the ratio 5 : 2

Hard centred/ Soft centred = 5/2

And total

Hard centred + Soft centred = 49

Now let say hard centred is H and soft centred S

H/S = 5/2 and H + S = 49

Now H = (5/2)S put into second equation

(5/2)S + S = 49

S(7/2) = 49

S = 14 now put into second equation

H + 14 = 49 = 35 hence hard centred will be 35 and soft centred will be 14.

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Solve the following system of equations and show all work.
y = -x² + 4
y = 2x + 1

Answers

Answer:

Step-by-step explanation:

The ys have to have the same value. That allows you to equate the right side of each y to each other.

-x^2 + 4 = 2x + 1                             Subtract the right side from the left side.

-x^2 + 4 - 2x - 1 = 2x-2x +1 - 1        Combine

-x^2 - 2x + 3 = 0                            Multiply both sides by - 1

-1(-x^2 -  2x + 3) = 0*-1                    Remove the brackets

x^2 + 2x - 3                                   Factor

(x - 1)(x + 3 )

x - 1 = 0

x =   1

x + 3 = 0

x = - 3

So the line goes through x = 1 or x = - 3

x = 1

y = 2x + 1

y = 2(1) + 1

y = 3

x = - 3

y = 2(-3) + 1

y = - 6 + 1

y = - 5

Does the graph confirm this? See below.

red: y = -x^2 + 4

green: y = 2x + 1

Yes the graph is in agreement.

Total area=
Help me please! Thanks so much

Answers

The surface area of the oblique prism is equal to 485 square units.

How to find the surface area of an oblique prism

In this question we have an oblique prism with seven faces, consistiting in two regular hexagons and five parallelograms. The surface areas is the sum of these seven faces:

A = 2 · 50 + 5 · 11 · 7

A = 485

The surface area of the oblique prism is equal to 485 square units.

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Patient a weighs 135.8 pounds.patient b weighs 135 2/5 ibs. which patient has the greater weight or if their weights are equal

Answers

Answer:

patient A has the greater weight

Need help on the Sin(4x) part of the question please!!

Answers

a. The equivalent expression for cos(4x) in terms of just x is 8cos⁴x - 8cos²x + 1

b. The equivalent expression for sin(4x) in terms of just x is 4sinxcos³x - 2sinxcosx

a. The equivalent trigonometric expression for cos(4x)

To find the trigonometric expression for cos(4x)

cos(4x) = cos[2(2x)]

Now from trigonometric identities

cos2Ф = 2cos²Ф - 1

Let 2x = Ф.

So, cos(4x) = 2cos²2x - 1

Also, cos2x = 2cos²x - 1

So, substituting cos2x into cos4x, we have

cos(4x) = 2cos²2x - 1

cos(4x) = 2[2cos²x - 1]² - 1

cos(4x) = 2[4cos⁴x - 4cos²x + 1] - 1

cos(4x) = 8cos⁴x - 8cos²x + 2 - 1

cos(4x) = 8cos⁴x - 8cos²x + 1

So, the equivalent expression for cos(4x) in terms of just x is 8cos⁴x - 8cos²x + 1

b. The equivalent trigonometric expression for sin(4x)

To find the expression for sin(4x)

sin(4x) = sin2(2x)

From trigonometric identities sin2Ф = 2sinФcosФ

Let 2x = Ф

So, sin(4x) = sin2(2x)

= 2sin2xcos2x

Since

sin2x = 2sinxcosx and cos2x = 2cos²x - 1

Substituting these into the equation, we have

sin(4x) =  2sin2xcos2x

sin(4x) = (2sinxcosx)(2cos²x - 1)

sin(4x) = 4sinxcos³x - 2sinxcosx

So, the equivalent expression for sin(4x) in terms of just x is 4sinxcos³x - 2sinxcosx

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find the slope of y=6x+2

Answers

Hello,

y = ax + b where a is the slope ! so here the slope is 6

If the length of one leg in this triangle is .find the length of the hypotenuse.

Answers

By Pythagorean theorem we find that the length of the hypotenuse is [tex]r = \sqrt{2}\cdot l[/tex].

How to find the length of the hypotenuse

In the image attached we have a right triangle with two legs of same length. The hypotenuse of right triangles can be found by Pythagorean theorem, whose form is:

[tex]r = \sqrt{l^{2}+l^{2}}[/tex]

[tex]r = \sqrt{2}\cdot l[/tex], where l is the length of the legs.

By Pythagorean theorem we find that the length of the hypotenuse is [tex]r = \sqrt{2}\cdot l[/tex].

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Identify the distance between points (- 3, 0, - 7) and (- 8, - 9, - 11) , and identify the midpoint of the segmen for which these are the endpoints . Round to the nearest tenth, if necessary

Answers

The distance between points (- 3, 0, -7) and (- 8, - 9, - 11) is approximately 11.1 units and the midpoint is (x, y, z) = (- 5.5, - 4.5, - 9).

What is the distance between the two points and what is the midpoint of the line segment?

First, we find the vector between the two points by vector sum:

[tex]\vec r = (-8, -9, - 11) - (- 3, 0, -7)[/tex]

[tex]\vec r = (- 5, - 9, - 4)[/tex]

The distance between the two points is found by the following Pythagorean expression:

[tex]d = \sqrt{(-5)^{2}+(-9)^{2}+(-4)^{2}}[/tex]

d ≈ 11.1

And the midpoint is found by linear algebra:

[tex]\vec m = 0.5\cdot (-3, 0, -7) + 0.5 \cdot (-8, -9, - 11)[/tex]

[tex]\vec m = (- 1.5, 0, - 3.5) + (- 4, - 4.5, -5.5)[/tex]

[tex]\vec m = (- 5.5, - 4.5, - 9)[/tex]

The distance between points (- 3, 0, -7) and (- 8, - 9, - 11) is approximately 11.1 units and the midpoint is (x, y, z) = (- 5.5, - 4.5, - 9).

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Which expression is equivalent to -7(y - 2)

Answers

The expression equivalent to -7(y - 2) is -7y + 14

Which expression is equivalent to -7(y - 2)?

Given the expression; -7(y - 2)

We expand the expression by multiplying each element inside the parentheses the element out i.e -7

-7(y - 2)

[ -7 × y and -7 × -2 ]

-7y + 14

Therefore, the expression equivalent to -7(y - 2) is -7y + 14.

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A student scores 74, 87, 68, 63, 76 on his last five
exams. His teacher will drop the lowest grade to
compute the student's average. What is the
students average in the class?

Answers

Answer:

76.25

Step-by-step explanation:

18. In AABC, 44 is a right angle, and m4B 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The
diagram is not drawn to scale.

054 ft

17√3 ft

17√2 ft

017

Answers

Answer:

17√3

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is √3 times larger than the legs.

17*√3 = 17√3

Given y=-x^2 if the function is shifted 5 units up which equation describes the new function

Answers

The equation that describes the new function is y' = x^2 + 5

How to determine the new function?

The function is given as:

y = x^2

Shifting the function up by 5 units, the rule is

(x, y) = (x, y + 5)

So, we have:

y' = x^2 + 5

Hence, the equation that describes the new function is y' = x^2 + 5

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Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81

Answers

Answer:27 < AB < 81

Step-by-step explanation:

Answer:

27 < AB < 81

Step-by-step explanation:

in a triangle the sum of any 2 sides must be larger than the third side.

that must be true for every pair of sides you pick.

simply because, if that is not fulfilled, the third side would be too long, and the other 2 sides cannot connect to the endpoints of the third side.

so,

AC + CB = 81 must be longer than AB. otherwise the triangle cannot "close".

AC + AB = 27 + AB must be longer than CB = 54.

so, AB must be longer than 27.

CB + AB = 54 + AB must be longer than AC = 27. but that is always true, as CB alone is already larger.

so only the other 2 conditions need to be true.

hence the answer.

The box-and-whisker plots show the points scored in each Super Bowl by the AFC and NFC. About how many points higher is the upper quartile for the NFC than the AFC?

Answers

The upper quartile for NFC is 3 points higher than that of AFC.

What is the difference in the upper quartiles?

A box plot is used to study the distribution and level of a set of scores. The scores are distributed into 4 groups. Each group has a value of 25%

On the box, the third line on the box represents the upper quartile. 75% of the scores represents the upper quartile.

Upper quartile for AFC : 26

Upper quartile for NFC : 23

Difference = 26 - 23 = 3

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PLS HELP AND EXPLAIN . math related

Answers

Answer:

(0,0)

Step-by-step explanation:

The y-intercept (where the graph of the equation crosses the y-axis) occurs where x = 0. If you substitute 0 for x in the equation, y = 0. So the y-intercept is at (0,0).

In a bag are three red marbles and three white marbles. If
two marbles are taken from the bag at the same time,
what is the probability that both marbles will be red?

Answers

The probability is 1/5.

How to find the probability?

There are 3 red marbles and 3 white marbles, for a total of 6.

The probability that the first marble is red is:

P(red) = 3/6

The probability that the second marble is also red is:

P(red') = 2/5 (because now there are 2 red marbles and a total of 5).

The joint probability is:

P = (3/6)*(2/5) = 1/5

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I needed help solving this

Answers

Answer:

Answer C: m = 26, f = 22

there is a typo in answer D.

Step-by-step explanation:

There are 48 vehicles, so m + f = 48.

They have 140 wheels, so 2m+4f = 140.

You can rewrite the first as m = 48-f and then plug it into the second:

2(48-f) + 4f = 140 =>

96 - 2f + 4f = 140 =>

2f = 140 - 96 =>

2f = 44

f = 22

m = 48 - 22 = 26

Answer:

D

Step-by-step explanation:

Let m = motorcycles and c = cars

m + c = 48                 2m + 4c = 140

m + c  = 48  Multiple this equation through by -2

-2m -2c = -96  Add this to the second equation above

2m +4c = 140

        2c = 44  Divide both sides by 2

          c  = 22.  There are 22 cars.  Plug this back into the top equation to find the number of motorcycles.

m + c = 48

m + 22 = 48 Subtract 22 from both sides

m = 26

Other Questions
Calculate the number of hydrogen atoms in180 grams of glucose A direct care worker is a person who provides _______________ or support with ____________ activities. This can include __________and ________, housekeeping, and helping with _____________. Acetic acid, CH3COOH, freezes at 16.6C. The heat of fusion, DHfus, is 69.0 J/g. What is the change of entropy, DS, when 1 mol of liquid acetic acid freezes to the solid at its freezing point? (carefully note the units on DHfus) Consider the following system at equilibrium where Kc = 1.8010-4 anddelta16-1.GIFH = 92.7 kJ/mol at 298 K.NH4HS (s)Doublearrow.GIFNH3 (g) + H2S (g)The production of NH3 (g) is favored by:Indicate True (T) or False (F) for each of the following:___TF 1. increasing the temperature.___TF 2. decreasing the pressure (by changing the volume).___TF 3. increasing the volume.___TF 4. adding NH4HS .___TF 5. removing H2S . which of the following adolescent's global self-esteem is most likely affected by his or her academic success? before the civil war, the _____________ aristocracy dominated the society of the south. Large markets may be crucial for earning a return on significant investments, such as plant and capital equipment or R&D. Most R&D intensive industries such as electronics are international. In addition to the need for a large market to recoup heavy investment in R&D, the development pace for new technology is increasing. The primary reason for investing in international markets is to generate above-average returns on investments. A truck of mass 4000kg is at rest, but free to roll without resistance. If you push it forward with a force of 500N, the momentum at the end of 5 seconds of pushing will be _____ what instrument does tchaikovsky use to enliven the sound of the orchestra during the trepak? a large school district claims that 80% of the children are from low-income families. 200 children from the district are chosen to participate in a community project. of the 200 only 74% are from low-income families. the children were supposed to be randomly selected. do you think they really were? a. the null hypothesis is that the children were randomly chosen. this translates into drawing The extruded aluminum beam has a uniform wall thickness of 1 8 in. Knowing that the vertical shear in the beam is 2.1 kips, determine the corresponding shearing stress at each of the five points indicated. When there is a discontinuity in the thickness of the cross section, select the smaller of the two thicknesses.(Round the final answers to two decimal places.) 1.25 in. 1.25 in. 1.25 in. 1.25 in. The shearing stress at the point a is ksi. The shearing stress at the point b is ksi. The shearing stress at the point c is ksi. The shearing stress at the point dis ksi. The shearing stress at the point e is ksi. Consider again the system dx/dt = x(1 x y), (i) dy/dt = y(0.75 y 0.5x), which appeared in Example 1 of Section 7.3. A constant-effort model, applied to the species x alone, assumes that the rate of growth of x is altered by including the term Ex, where E is a positive constant measuring the effort invested in harvesting members of species x. This assumption means that, for a given effort E, the rate of catch is proportional to the population x, and that for a given population x the rate of catch is proportional to the effort E. Based on this assumption, Eqs. (i) are replaced by dx/dt = x(1 x y) Ex = x(1 E x y), dy/dt = y(0.75 y 0.5x). (ii) (c) Draw a direction field and/or a phase portrait for E = E0 and for values of E slightly less than and slightly greater than E0. A ______ leader is one who sets clear, short-term goals and rewards people for meeting them. A. Transactional B. Communal C. Transofrmational D. Contingent. The significance of people such as Betty White, Nelson Mandela, and Judi Dench are important with which aging theory? Role Activity Disengagement Continuity find the general solution of the following system of differential equations by decoupling: x1 = x1 x2 x2 = 4x1 x2 Calculate the cell potential, the equilibrium constant, and the free-energy change for: Ca(s)+Mn2+(aq)(1M)Ca2+(aq)(1M)+Mn(s) given the following Eo values: Ca2+(aq)+2eCa(s) Eo = -2.38 V Mn2+(aq)+2eMn(s) Eo = -1.39 V 1.) Calculate the equilibrium constant. 2.) Free-energy change? _____ case tools provide support for the planning, analysis, and design phases. When we have enough buffer caches, the index-based nested loop join outperforms the block nested loop join. True False Solve the equation. 2 sin 2 Theta - sin Theta-1 = 0 What is the solution in the interval 0 Theta 2pi? Theta = (Simplify your answer. Type an exact answer, using n as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type N if there is no solution.) a drug that inhibits the action of the enzyme acetylcholinesterase will have the effect of ____.