what do you call a destroyed angle worksheet answers

Answers

Answer 1

Answer:

Step-by-step explanation:

A destroyed angle is called to as a rect-angle.

It's a pun on the "wreck"tangle


Related Questions

if I can vaccinate 10 people in 2 hours. how many people will I get vaccinated in 5 hours?
y=the number of people being vaccinated
x= the number of hours

Answers

10 in two hours
5 in one hour
20 in four hours
20 + 5 = 25
In 5 hours, 25 people can get vaccinated

Answer:

25 people

Step-by-step explanation:

10 people will be vaccinated for 2hrs

10 = 2

y people will be vaccinated for 5hrs

y = 5

(To find y we need to cross multiply)

10 = 2

y = 5

2y= 50

y=50/2

y=25

:- 25 people will be vaccinated in 5hrs.

Lets check if our answer is correct let us make 5 hrs our unknown x

10 = 2

25 = x

(cross multiply)

25×2=10x

50=10x

x=5hrs

so our answer is correct.

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Find the number of distinguishable permutations of the letters in each word below.
(a) bigger
(b) Hollywood
(c) possess

Answers

The number of distinguishable permutations in the given letters are:

a.) Bigger= 720

b.) Hollywood = 362,880

C.) possess = 5040

What is permutation?

Permutation is defined as the arrangement of data set in a definite form which involves multiplication from the given number to 1.

The word 'bigger' contains 6 letters. Therefore the permutation of 6 = 6×5×4×3×2×1 = 720

For the word 'hollywood' contains 9 letters. Therefore the permutation of 9 =9×8×7× 6×5×4×3×2×1= 362,880

For the word 'possess' contains 7 letters. Therefore the permutation of 7 = 7× 6×5×4×3×2×1 = 5040.

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Look at the transformation of a 2-dimensional shape on the coordinate plane.
(x, y)→(−y,−x)


Which statement is true?

Answers

In the transformation of a 2-dimensional shape on the coordinate plane. (x, y) → (-y, -x), the statement which is true is that: d. Transformation preserves distance and angle measure both.​

What is a transformation?

In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.

Based on the transformation rule (x, y) → (-y, -x), we can reasonably infer and logically deduce that it represents or models a rotation of the geometric shape, followed by a reflection, which both preserves distance and angle measure based on these transformation rules:

Rotation: (x, y) → (-y, x).Reflection: (x, y) → (x, -y).

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Complete Question:

Look at the transformation of a 2-dimensional shape on the coordinate plane. (x, y) → (-y, -x). Which statement is true?

a. Transformation preserves only distance.

b. Transformation preserves only angle measures.

c. Transformation preserves neither distance nor angle.

d. Transformation preserves distance and angle measure both.​

Rewrite sin(x-7pi/4) in terms of sin(x) and cos(x)

Answers

The expression written in terms of sinx and cosx is

sinx· cos7π/4 - cosx ·sin7π/4

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given expression is sin(x - 7π/4).

Use the formula for sin(A-B) to rewrite the expression:

sin(x - 7π/4)

= sinx· cos7π/4 - cosx ·sin7π/4

Hence, the expression written in terms of sinx and cosx is sinx· cos7π/4 - cosx ·sin7π/4

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Use diagram to answer the questions below

Answers

a. Angle g is corresponding to angle c.

b. Angle f is alternate to angle d.

c. Angle d is corresponding to angle h.

d. Angle c is vertically opposite to angle a.

e. Angle c is alternate to angle e.

f. Angle f is vertically opposite to angle h.

g. Angle e is corresponding to angle a.

h. Angle e is vertically opposite to angle g.

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EVALUATE ₈C₇ and ₁₁P₅
₈C₇=
₁₁P₅=

Answers

The permutation and combination expressions have their values to be ⁸C₇ = 8 and ¹¹P₅ = 55440

How to determine the permutation and combination expressions?

From the question, we have

⁸C₇ and ¹¹P₅

The combination expression: ⁸C₇

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 7

Substitute the known values in the above equation

Total = ⁸C₇

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

⁸C₇ = 8!/7!1!

Evaluate

⁸C₇ = 8

(b) The permutation expression: ¹¹P₅

The number of ways of selection could be drawn is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 11 and r = 5

Substitute the known values in the above equation

Total = ¹¹P₅

Apply the permutation formula

ⁿPᵣ = n!/(n - r)

So, we have

¹¹P₅ = 11!/6!

Evaluate

¹¹P₅ = 55440

Hence, the values are 8 and 55440

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Match each equation with a graph above:
log (x) a. red R
10× b. black K
e× c. green G
ln (x) d. blue B

Answers

The equations are matched as below and the graph is plotted and attached

log (x) b. black K 10× d. blue Be× c. green Gln (x)  a. red R

What is logarithm graph?

A log-log graph, also known as a log-log plot, is a two-dimensional graph of numerical data used in science and engineering that use logarithmic scales on both the horizontal and vertical axes.

The exponential graph is the opposite of logarithmic graph

In the given functions

log (x) is logarithmic function

10× is exponential function

Similarly, the natural exponent graph is the opposite of natural logarithm graph

in the given functions

e× is the natural exponential

ln (x) is the natural logarithm

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5 2/3 divided by 2 1/8 Perform the indicated operation.

Answers

Answer: 2 and 2/3

Step-by-step explanation: To divide these mixed numbers, I would first rewrite them as improper fractions.

You should be familiar with how do this and if you aren't, send me a comment below and I can give you a quick review.

So 5 and 2/3 becomes 17/3 and 2 and 1/8 becomes 17/8.

This gives us 17/3 ÷ 17/8.

When we divide fractions, we just change the division sign

to multiplication and take the reciprocal (flip) the second fraction.

So we have 17/3 · 8/17.

before multiplying, we can cross-cancel the 17's by dividing by their greatest common factor of 17 to get 1.

So we have 1/3 · 8/1 which is 8/3.

Now since 3 goes into 8 twice, our we have 2 as our whole fraction.

Since there is 2/3 left over, we have a fraction of 2/3.

So our final answer is 2 and 2/3.

what is the percent decrease 350 to 200

Answers

Answer:

75%

Step-by-step explanation:

First, you subtract 200 from 350 to get the difference, which is 150.

Then, you do 150 divided by 200 since 200 is the starting number and it is increasing by 150.

150/200 = 0.75

To convert the decimal into a fraction multiply by 100.

0.75*100 = 75

75 percent would be the correct answer

André planted a cedar hedge 15 years ago (currently it's the start of the 16th year). The
hedge is now 3 metres high. The cedars grew an average of 12 cm per year. How tall were
the cedars when he planted them?

Answers

The height of the cedars when they were planted by André, found using the formulas for arithmetic progression is 1.32 meters

What is an arithmetic progression?

An arithmetic progression is a number sequence that consists of numbers that have a constant or common difference between consecutive term of the sequence.

The year André planted the cedar hedge tree = 15 years ago

The present height of the hedge = 3 meters = 300 cm

The average rate at which the cedars grew = 12 cm per year

The height of the cedar hedge when André initially planted the them can be found by representing the situation using an arithmetic progression formula or as follows;

The nth term of an arithmetic progression, aₙ, can be found using the formula; aₙ = a₁ + (n - 1)·d

Where;

a₁ = The initial height of the tree

d = The amount the tree grows each year = 12 cm

n = The number of years ago, the tree was planted

When n = 15, we get;

a₁₅ = 3 meters = 300 cm

Therefore;

300 = a₁ + (15 - 1) × 12

a₁ = 300 - (15 - 1) × 12 = 132

The height of the cedar edge tree when André planted them was 132 cm which is 1.32 meters

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Solve for
x
xx.
Assume the equation has a solution for
x
xx.
19
x
+
r
x
=

37
x
+
w

Answers

The value of x in the Algebraic expressions is x = w / (56+r).

What is Algebra?

Algebra is a branch of mathematics focused on the study of mathematical symbols and the rules for manipulating those symbols. In algebra, letters and other symbols represent numbers, which can be manipulated and combined to solve equations and other mathematical problems. Algebra is used in a variety of different fields, from engineering to economics, and is essential for anyone studying mathematics. Algebra can be used to solve problems involving linear equations, quadratic equations, polynomials, and more. Algebra also provides an important foundation for more advanced fields of mathematics, such as calculus. By learning the basics of algebra, students can gain an understanding of key mathematical concepts and gain the skills necessary to solve complex problems.

The solution is,

given:        19x + rx  = -37x + w

            ( 19x + 37x) = w - rx

                56x + rx  = w

                 x(56+r )  = w

                             x = w / (56+r)

Therefore the value of x in the algebraic expression is  x = w / (56+r).

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Please I need help on both part A and B

Answers

Answer:

Step-by-step explanation:

I hope anyone answers

Help

Please

which number line represents the solution set for the inequality 4x 3 2 2x

Answers

The solution to the inequality expression is x ≥ - 5

what is inequality expressions ?

Both equations and inequalities are mathematical phrases created by connecting two expressions. The two expressions are regarded as being equivalent in an equation.

solution:

The given expression - 4(x + 3) ≤ –2 – 2x

                                     - 4x - 12  ≤ -2 - 2x

                                      -4x + 2x  ≤ -2 + 12

                                              -2x  ≤  10

                                               -x  ≤ 5

Multiply  both sides by - 1

Then x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

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Can someone explain the formula I'd use to solve this

Answers

The formula for slope-intercept form is: y = mx + b

    m = the slope of the line

    b = the y-coordinate of the y-intercept, (0,b)

In this case, the slope is 3, since you go up 3 and to the right 1 to get from the point at (1,1) to the point at (2,4).  3/1 = 3

The line crosses the y-axis at (0,-2), so your b-value is -2.

The equation is y = 3x - 2.

In general, lines that increase (go uphill) from left-to-right have a positive slope.  Lines that decrease (go downhill) from left-to-right have a negative slope.  

if sina + sinb = m and cosa + cosb = n then prove that cos(a-b) = 1/2(m^2 + n^2 -2)​

Answers

Given

sin a + sin b = m,cos a + cos b = n.

Prove that

cos (a - b) = 1/2(m² + n² -2)​

Solution

cos (a - b) =cos a cos b + sin a sin b= 1/2( 2cos a cos b + 2sin a sin b) = 1/2( cos²a + 2cos a cos b + cos²b + sin²a + 2sin a sin b + sin²b - (cos²a + sin²a + cos²b + sin²b)) =1/2( (cos a + cos b)² + (sin a + sin b)² - (1 + 1)) =1/2(n² + m² - 2)

Proved

Used identities

cos (a - b) = cos a cos b + sin a sin b,sin²a + cos²a = 1,(a + b)² = a² + 2ab + b²

what is the range of the function on the graph all real numbers

Answers

The required range is [0,∞]

All values, or inputs, constitute a function's domain, while all values, or outputs, constitute its range.

When examining a graph, the range of the function is from up to down, and the domain refers to all of the values on the graph from right to left.

Therefore , the range of the function on the graph of  all real numbers extends from zero to positive infinity.

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Determine where the real zeros of f(x)=x^4-2x^3+x-2 are located.a. at -1 & 2 c. at 0 & 1 b. at 1 & 2 d. at -1 & 1

Answers

The real zeroes of the given polynomial are located at (1, 2).

What are zeroes of the polynomial?

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

Given that, x⁴-2x³+x-2

Checking the real zeroes,

Considering point (1, 2)

y = 2 and x = 1

Putting the values,

x⁴-2x³+x-2 = 1-2+1-2 = 2

And, y = 2

Therefore, LHS = RHS

Hence, The real zeroes of the given polynomial are located at (1, 2).

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2. The two polygons below are congruent.
Which statement is a valid congruence statement?
A. polygon PQRST Ξ polygon XWVZY
B. polygon PQRST Ξ polygon WXYVZ
C. polygon PQRST Ξ polygon XYZVW
D. polygon PQRST Ξ polygon WVZYX

Answers

Answer is A. PQRST = XWVZY

Explanation- the 2nd figure was transformed with a reflection and a rotation

We know the congruent vertices will match exactly in how they are sequenced in order

First I located the same vertices of S and Z

Second I noticed the 2nd figure was reflected so I rearranged the sequence of vertices to match the reflection

Problem solved!

This exercise uses, the population growth model
A culture starts with 8300 bacteria, After 1 hour the count is 10,000 .
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
n(t)=8300(1)
(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.)
17485.75 x bacteria
(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.)
50times

Answers

P is equal to 8700% for population x time in hours.

What is population growth model?

P is equal to 8700% for population x time in hours. 2Ae%5E%28kx%29

K's model must be solved. ln%28p%29=ln%288700%29%

2Bkx%2Aln%28e%

29\skx%

2A1=ln%28p%29-ln%288700%

29\sk=%281%

2Fx%29%

28ln%28p%29-ln%288700%29%29

Replace the point (1,10000).

k=%281%

2F1%29%

28ln%2810000%

29-ln%288700%

29%

29\sk=ln%2810000%

29-ln%288700%

29 k=0.13926, which you might only desire to three or maybe even two significant figures.

You may just enter 10000% if you want p after two hours.

And it SHOULD be the same as 8700% (2810000%2F8700%).

Just give it a shot and see, 2Ae%5E%280.139%2A2%29. More particular, the model is highlighted by p=8700%. 2Ae%5E%280.139% 2Ax%29% 29.

Determine how long to double x.

Take the logs on both sides, then find x.

To put it more simply, start with this form: 2=1%2Ae%5E%280.13926%2Ax%29

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Can the two triangles be proven congruent by SAS explain?

Answers

Yes, two triangles can be proven congruent by SAS(Side angle side) congruence.

What is SAS Congruence?

If any pair of comparable sides and their included angles are the same in both triangles, then the triangles are said to be congruent.

There are five ways to determine whether two triangles are congruent. It's one of them (SAS). Congruent Triangles provides a list. If any two comparable sides and their included angle in both triangles are same, then the triangles are congruent.

Why does this matter?

Due to the congruence of the triangles:

Third sides also have identical angles.

the other two complementary angles are equal

Two triangles, congruent since all three sides are the same length, but one flipped and rotatedCongruent triangles can be turned and/or mirror images of each other (reflected).

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How do you find the range of a function step by step?

Answers

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range.

What is range of a function?

The group of all outputs of a function is called its range. for example: Let's have a look at the function f: A→ B, where f(x) = 2x and A and B each represent a "collection of natural numbers. The domain in this case is A, and the co-domain is B. The range then appears as the function's output. so Set of all even natural numbers is the range.

What do you mean by a function?

A relation between a number of set of inputs with only one output corresponding to each of the input is called function.

Example:

Y = 2x

1. First, we have to write the function y=f(x) and then solve the equation for x and taking out equation of form x=g(y).

Suppose we have a function y=x2+1 and we have to find it range so,

we have to solve it for x to get

x=√y-1.

2. Now we have to find the domain of g(y), and this is simply the range of function f(x).

For our example,

y−1≥0, so [1,∞) is the range of f(x)=x2+1.

3. If we can't solve equation for x, then we can try it by drawing the graph of the function and find its range.

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3. Represent and Connect Write 2,857 using only hundreds and ones. ​

Answers

By using a linear combination, we can write our number using only hundreds and ones as:

2,857 = 28*100 + 57*1

How to write the number using only hundreds and ones?

To write the number using only hundreds and ones we need to write our number as a linear combination of ones and hundreds, so we can write:

2,857 = a*100 + b*1

There are multiple solutions for this, we can use b to cover the ones and the tens, so:

57 = b*1

57 = b

And we can use a to cover the hundreds and thousands, so:

2,800 = a*100

2,800/100 = a

28 = a

Then we can write our number using only hundreds and ones as:

2,857 = 28*100 + 57*1

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65 less than twice Janelle's savings

Answers

Answer:

x = 2y - 65

Step-by-step explanation:

What are 6 techniques used by propaganda?

Answers

Answer:

Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.

Step-by-step explanation:

What is propaganda ?

Information—especially that which is slanted or deceptive—used to advance or publicize a specific political cause or point of view.

Glitzy Generalizations

Use expressions or words that sound appealing and are widely accepted.

Card Arranging

Using only those ideas and facts that support your argument.

Plain people

Tell voters that you are a normal person with same needs and beliefs as theirs.

Testimonial

Persuades people to do something by leveraging their popularity as a celebrity or athlete.

Bandwagon

Encourages a tendency to follow the crowd

Using names

Put a bad name on your opponent.

Glitzy Generalizations , Card Arranging , Plain people , Testimonial , Bandwagon , Using names are the six techniques used by propaganda.

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What does it mean when the discriminant is greater than 0?

Answers

We are interested in values that make the quadratic expression negative if the quadratic expression is less than, equal to, or greater than 0. We are interested in numbers that make our quadratic expression positive if the quadratic expression is more than, greater than, or equal to 0.

An discriminant value definition ?

The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not. The quadratic function has one repeating real root if b2 - 4ac = 0.

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How do you know if AB and CD are congruent?

Answers

If the length of two segments is equal then the two segments are congruent.

If l(AB) = l(CD) then seg AB ≅ seg CD.

Two line segments to be congruent if and only if they have the same length.

Two shapes are congruent if they are exactly the same shape and exactly the same size. In congruent shapes, all corresponding sides will be the same length and all corresponding angle will be the same measure.

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Why is it important to make ten?

Answers

It is important to make a ten in lower grades to make students understand the subtraction.

According to the question,

We have the following information:

Making a ten

Now, we know that in making a ten method we take 1 from the next left digit of the number from which we are subtracting any other number.  Now, this number 1 is treated as 10 instead of 1 and then 10 is added to the digit to ease subtraction in lower grades.

Now, the subtraction can be easily performed by subtracting the smaller number from the larger number.

Hence, it is important to make tens in lower grades to make students understand the subtraction.

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NO LINKS!! Use tests for symmetry to determine which graphs from the list below are symmetric with respect to the y-axis, the x-axis, and the origin. (Select all that apply.) Part 1​

Answers

Answer:

[tex]\begin{aligned}\textsf{(a)} \quad y&=-6x^2\\y&=4x^2-2\end{aligned}[/tex]

[tex]\textsf{(b)} \quad x=\dfrac{1}{4}y^2[/tex]

Step-by-step explanation:

Part (a)

A graph is symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph.

Linear functions are not symmetric with respect to the y-axis.

Quadratic functions are symmetric with respect to the y-axis if the y-axis is their axis of symmetry, so when the variable x is squared.

Cubic functions are not symmetric about the y-axis.

Square root functions are not symmetric about the y-axis.

There are two quadratic functions with x² in the given answer options.

Test to see if they are symmetric with respect to the y-axis.

Test for symmetry

To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

Given function:

[tex]y=-6x^2[/tex]

Replace x with (-x):

[tex]\implies y=-6(-x)^2[/tex]

[tex]\implies y=-6x^2[/tex]

Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.

Given function:

[tex]y=4x^2-2[/tex]

Replace y with (-y) and x with (-x):

[tex]\implies y=4(-x)^2-2[/tex]

[tex]\implies y=4x^2-2[/tex]

Therefore, as the function is equal to the original function, this function is symmetric with respect to the y-axis.

Part (b)

A graph is symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, -b) on the graph.

Linear functions are not symmetric with respect to the x-axis.

Quadratic functions are symmetric with respect to the x-axis if the x-axis is their axis of symmetry, so when the variable y is squared.

Cubic functions are not symmetric about the x-axis.

Square root functions are not symmetric about the x-axis.

There is one quadratic functions with y² in the given answer options.

Test to see if it is symmetric with respect to the x-axis.

Test for symmetry

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

Given function:

[tex]x=\dfrac{1}{4}y^2[/tex]

Replace y with (-y):

[tex]\implies x=\dfrac{1}{4}(-y)^2[/tex]

[tex]\implies x=\dfrac{1}{4}y^2[/tex]

Therefore, as the function is equal to the original function, this function is symmetric with respect to the x-axis.

Evaluate the expression.
(6 x 4) + (15÷ 5) =
?

Answers

Answer:

27

Step-by-step explanation:

first you multiply 6x4 which is 24 the you divive 15 by 5 you'll get 3 then you add 24 + 3 and your answer is 27

Write an expression to represent: 8 less than the product of 2 and x.​

Answers

2x-8 is the answer of the question
Other Questions
Solve and Graph.[tex]\tt |4x+1|\:\le 6[/tex] your roommate is having difficulty in his chemistry class. he asks you for advice on how to improve his memory of the material. you suggest that rather than trying to memorize the definitions, he should learn the concept by coming up with real-world examples. you tell him to work on making links between new information and everything he already knows. which of the following memory strategies are you recommending to your roommate? what are the resources for which weeds compete with turgrasses? A climate proxy record is a source of climate information that doesn't measure temperature/sea level/CO2 levels directly, but rather provides evidence of response to those variables from organisms and earth systems. Which of the following are proxy records? -Temperature readings from world thermometers over time-Tree rings-Delta-180 measurements-Ice cores-Measuring sea level at the shore Which US president used dollar diplomacy in Nicaragua? Which of the following statements reflects the abolitionist view on slavery?O Slavery worked better than a free labor system.O Slavery was morally wrong and they wanted to end it.O Slavery threatened unskilled workers in the North.O Slavery belonged only in the southern states. Assume that 40% of students at SCC receive A or Bs, 35% receive Cs, and 25% receive D or Fs. A survey of 300 r/s UC Davis students indicates that 100 of them received A or Bs, 130 received Cs, and 70 received D or Fs. Do these results provide strong evidence that the overall percentages of the 3 grade categories at UC Davis are not all the same as the ones at SCC? Perform a hypothesis test and use a p-value to draw and explain your conclusion which of the following levels of organizational culture is the most visible and most frequently studied? I can't theme to grasp these questions can someone please explain the steps ? Dex's addiction to drugs is affecting his job. He has been written up twice, lately, for missing shifts at work. Dex's case illustrates the _____ associated with abnormal behavior. Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone.Let y represent the distance (in meters) from the safe zone after x seconds.Complete the equation for the relationship between the distance and number of seconds.y=, equals the fossil from utah was found in rocks that date from ______________ to 130 mya. The use of chemical substances to kill pathogenic organisms without injury the host. Or the use of chemical substances to treat various aspects of disease - i.e., aspirin for headache and inflammation, drugs to regulate heart function and agents to rid the body of malignant cells. A = 2(x + 3) y B = 3(13 + x) how do institutions help make a state's commitments more credible? How did the author, Chinua Achebe, organize the events of chapters 11 & 12? Were there any parallel plots? If so, how did the parallel plots affect the pacing of thesechapters? What are X-ray safety precautions? What Is The Ratio Of Urms To Ump For A Sample Of O2(G), At 300 K? Will This Ratio Change As The Temperature Changes? Will it be different for a different gas? How does the metaphor in this excerpt affect the mood of thepassage?His amazement amused Regina. In her mind, Regina imaginedthat Jamal was a long-ago forty-niner discovering an overlookedgold nugget at the height of the California gold rush. Jamaltightly held onto his collection. Each comic book was a gleamingnugget, and he was reluctant to let any of them out of his sight.It suggests an envious mood because Regina wishesshe had something just as special.It suggests an excited mood because of Jamal'sfascination with the comic book collection.It suggests a protective mood because Jamal acts asthough his collection will be lost or stolen.It suggests a light-hearted mood because Reginathinks Jamal is being overly enthusiastic. Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, Upper R left parenthesis x right parenthesis, andcost, Upper C left parenthesis x right parenthesis, of producing x units are in dollars. R(x)=3x, C(x)=0.05x^2+0.04x+10