CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!

CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!

Answers

Answer 1

Answer:

71

Step-by-step explanation:

The reference angle is always the smallest angle  with the x-axis.

The nearest x axis is at 0 or another name for 0 is 360

360 -289 = 71

The reference angle is 71

CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!

Related Questions

Fine the area and circumference of each circle and round to the nearest tenth.

Answers

Answer: A=πr²      

A=3.14(1.6inch)²                     r=d/2⇒3.2/2⇒1.6

A=3.14×2.56in²

A=8.0384in²

A≈8.04

now circumference,

C=2πr

C=2×3.14×1.6in

C=10.048in

C≈10.05

My flvs teacher said that she was asked to hold off on grading my assignment. She will give me a call back when when gets more information. Anyone have the same problem?

Answers

Answer:

yeah, teachers kinda suck

Is anyone able to help me with this please?

Answers

9514 1404 393

Answer:

range: -2 ≤ ydomain: All reals

Step-by-step explanation:

The range of the function is the vertical extent. Here, the values of y can be anything that is -2 or more:

  range: -2 ≤ y

The domain of a the function is the horizontal extent. The domain of any polynomial function is ...

  domain: All reals

A map that was created
using a scale of 1 inch : 3 miles
shows a lake with an area of
18 square inches. What is the
actual area of the lake?

Answers

9514 1404 393

Answer:

  162 mi²

Step-by-step explanation:

The area on the map is ...

  18(1 in)²

Then the area on the ground will be ...

  18(3 mi)² = 18·9 mi² = 162 mi²

I need help I will give brainlest
I showed a screenshot of the question

Answers

X = (18/5)/(3/2)

= 18/5 x 2/3

=(18 x 2) / (5x3)

= 90/15

If you don’t want it as a fraction it’s 6!

Hope this helps!

Find the equations of the tangents to the curve x=9t2+3, y=6t3+3 that pass through the point (12,9).

Answers

Answer:

The equation will be "[tex]y=x-3[/tex]".

Step-by-step explanation:

Given:

Points (12, 9) = (x, y)

⇒ [tex]x=9t^2+3[/tex]

then,

 [tex]\frac{dy}{dt}=18t[/tex]

or,

⇒ [tex]y=6t^3+3[/tex]

then,

 [tex]\frac{dy}{dt}=18t^2[/tex]

⇒ [tex]\frac{dy}{dx}=\frac{18t^2}{18t}[/tex]

        [tex]=t[/tex]

By using the point slope form.

The equation of tangent will be:

⇒ [tex]y-9=1(x-12)[/tex]

   [tex]y-9=x-12[/tex]

          [tex]y=x-12+9[/tex]

          [tex]y=x-3[/tex]

importance of sports​

Answers

Answer:

Sports is beneficial to physical health and well-being

as well as for growth and development, it decreases chances of contracting diseases and illnesses such as cardiovascular disease, lowers fat - intake as well as improves memory and relieves stress.

sports help your physical health and they also teach you about team work and help your social skills. while being on a sports team you can learn how to problem solve and work with others

What is the value of 3?

Answers

9514 1404 393

Answer:

  3 ⇒ 12

Step-by-step explanation:

Apparently "a = b" in this case is used to mean f(a) = b. It appears as though the function is ...

  f(x) = x(x+1)

Then f(3) = 3(3+1) = 3·4 = 12

_____

Additional comment

IMO this is a poor use of the equal sign, which should be reserved for situations where the left side expression has the same value as the right side expression.

12. That’s the answer your looking for

Add O used 6 cups of whole wheat flour and eggs we flower and ax cups of white flour in the recipe what is the equation that can be used to find the value of Y the total amount of flour that adult used in the recipe and what are the constraints and the values of X and Y

Answers

Answer:

6x+y

Step-by-step explanation:

Which statement can be proved true using the given theorem?

Answers

Answer:

BF = 16

Step-by-step explanation:

18/12 = 1.5 * 6 = 9

Since DE and BF are parallel and DB and EF are parallel, they comprise a parallelogram. This means that DB = EF

DB = EF = 9

24/1.5 = 16

DE = 16

BF = 16

The statement which can be proven true using the given theorem (congruence) is Segment BF = 16.

Congruence theorem

By the congruence theorem;

We can conclude that triangles ABC and EFC are congruent triangles and as such have the ratio of corresponding sides to be equal.

Hence, AE/EC = BF/FC.

Therefore; 12/18 = BF/24

Hence, BF = 24× 12/18

BF = 16

Read more on congruent triangles;

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Evaluate the given integral by changing to polar coordinates.
Integar sin(x2 + y2) dA R
where R is the region in the first quadrant between the circles with center the origin and radii 1 and 5.

Answers

In polar coordinate, R is the set of points

{(r, θ) | 1 < r < 5 and 0 < θ < π/2}

So the integral is

[tex]\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA = \int_0^{\frac\pi2}\int_1^5 r\sin(r^2)\,\mathrm dr\,\mathrm d\theta[/tex]

[tex]=\displaystyle\frac\pi2\int_1^5 r\sin(r^2)\,\mathrm dr[/tex]

[tex]=\displaystyle\frac\pi4\int_1^5 2r\sin(r^2)\,\mathrm dr[/tex]

[tex]=\displaystyle\frac\pi4\int_1^{25} \sin(s)\,\mathrm ds[/tex]

(where s = r ²)

[tex]=\displaystyle-\frac\pi4\cos(s)\bigg|_1^{25}= \boxed{\dfrac\pi4 (\cos(1) - \cos(25))}[/tex]

Find the square root of 529/1080​

Answers

Answer:

Square Root of 529:√529 = 23

Square Root of 1080: 32.863353450309965

Find the common denominator 2/3 and 3/10

Answers

Answer:

Common denominator is 30

Step-by-step explanation:

As,

[tex] \frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30} [/tex]

and,

[tex] \frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30} [/tex]

Select the correct answer.
The table below shows the population of a city over a period of time.
Which function best models this set of data?
A.
P(x) = 10,000(1.0)x + 1,000
B.
P(x) = 1,100x + 9,900
C.
P(x) = 1,000x + 10,000
D.
P(x) = 10,000(1.1)x

Answers

Answer:

D (I think?)

Step-by-step explanation:

It's neither a nor b because neither of them would work if you plug in o for x.

The reason I think it's D and not C is because it goes up by 10,000 x (1.1)^x

Just not sure because because of how the question was asked. Hope this helps

Answer:

attributed to enhanced NAVs made possible by brands’ disclosure in the Balance

Sheet. However, there is a biggest handicap of reliable and independent assessment

of the brand value. This is the single most important reason for the brands not

allowed to be placed on the Balance Sheet by the Authorities concerned. Though,

value is assigned to externally acquired brands, there is no effective way for

assessment of home-grown brands. Nevertheless, it is gratifying to note that the

Institute of Chartered Accountants of England and Wales (ICAE & W), has given due

recognition to the internally generated brand values and allow disclosure in the

Balance Sheet which necessitates periodic revaluation.

The brands are to be explicitly recognized, as part of purchased Goodwill, by the

ICAI of India, which would make possible the recognition of brand values. Rules and

methodologies necessary for the valuation accounting and disclosure of brands may

be framed in this regard. This would go a long way in governing the brand

accounting practice and contribute to healthy business combinations in India,

especially where the brand values are given serious consideration in the emerging

strategic alliances, mergers and acquisitions fueled by the entry of MNCs. This

assumes special significance in the environment of globalization, liberalization and

privatization of Indian economy.

It emerges from the above discussions that Goodwill, brand valuation and

accounting are definite to take the world of accounting by storm in the near future

which would mark the beginning of a new era of accounting practice. Thus, there

exists a strong and a clear case for brand accounting, especially in view of the

imminent benefits of brand accounting to the corporate bodies and the investors alike.

15.13 Self Assessment Questions

1. Define Brand. Discuss the objectives of corporate branding ?

2. What is the necessity of brand accounting in the competitive business environment?

3. Discuss the difficulties in accounting the brands.

4. Explain various models available for valuation of home-grown brands.

5. How would you value the acquired brands ?

15.15 SUGGESTED READINGS

1. Kotler Philip, Armstrong Gary, Principles of Marketing, Printice-Hall of India (Pvt.)

Ltd.

2. ASB, Goodwill and Intangible Asset, U.K.

3. Pyne Radhanath, Valuing brands, The Accounting Debate, The Chartered Accountant.

4. Datta Manipadma, Brand Equity : A paradigm shift in firm valuation, Chartered

Secretary.

grace and her friends were to roll the two dice 100 times, how many of the 100 times could they expect to roll the same number on each die? (In other words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.)

Answers

Answer:

The probability of both dice having the same number is 636, as there are 36 different outcomes, 6 of which have two of the same number, i.e. (1,1),(2,2),....

The expected number of rolls of this type in 100 pairs of dice rolls is 100∗636

Answer:

4:16 = 0.25

Step-by-step explanation:

16 outcomes are possible, 4 with the same number.

Can someone please help me .?

Answers

Answer:

5

Step-by-step explanation:

5+7

Consider the probability that more than 97 out of 120 people will get the flu this winter. Assume the probability that a given person will get the flu this winter is 97%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

Answers

Answer:

Since [tex]n(1-p) = 3.6 < 5[/tex], the normal distribution cannot be used as an approximation to the binomial probability to approximate the probability.

Using the binomial distribution, 100% probability that more than 97 out of 120 people will get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume the probability that a given person will get the flu this winter is 97%.

This means that [tex]p = 0.97[/tex]

120 people

This means that [tex]n = 120[/tex]

Verifying the necessary conditions.

[tex]np = 120*0.97 = 116.4[/tex]

[tex]n(1-p) = 120*0.03 = 3.6[/tex]

Since [tex]n(1-p) = 3.6 < 5[/tex], the normal distribution cannot be used as an approximation to the binomial probability to approximate the probability. Thus, the binomial distribution has to be used.

Probability using the binomial distribution:

[tex]P(X > 97) = P(X = 98) + ... + P(X = 120)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 98) = C_{120,98}.(0.97)^{98}.(0.03)^{22} \approx 0[/tex]

Probability close to 0, but below the mean, which means that the probability of the number being above this is 100%.

Using the binomial distribution, 100% probability that more than 97 out of 120 people will get the flu this winter.

The ratio of cats to dogs at the animal shelter is 3 to 5. There are 27 cats. How many dogs are there?

Answers

Answer:

There are 45 dogs, 27 cats

Step-by-step explanation:

Write and solve an equation of ratios.  The "cat ratio" is 3/27 and the "dog ratio" is 5/d:

Then

 3         5

------ = -----

 27       d

Through cross-multiplication, we get 3d = 135, or d = 45

There are 45 dogs, 27 cats.  Notice that 27/45 = 3/5, as expected.

There are 45 dogs and 27 cats.  

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given information;The ratio of cats to dogs at the animal shelter is 3 to 5.

There are 27 cats.

We need to Write and solve an equation of ratios.  

The "cat ratio" is 3/27 and the "dog ratio" is 5/d:

Then 3/ 27 =   5 / d

Through cross-multiplication, we get

d = 5 x 27 / 3d = 45So,

Notice that 27/45 = 3/5, as expected.

There are 45 dogs and 27 cats.  

Learn more about the unitary method;

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If an orange seller bought 5 dozen oranges at the rate of tk.60 per four and sold them at the rate of tk50 per four,how much did he lose

Answers

Answer:

tk 30

Step-by-step explanation:

5 dozen = 5 * 12 = 60 oranges

12/4 = 3

total cost = 60 * 3 = tk.180

total sell = 50 * 3 = tk 150

total lose = 180 - 150 = tk 30

3 coffees and 4 donuts cost $10.05. In the same cafeteria, 5 coffees and 7 donuts cost $17.15. How much do you have to pay for 4 coffees and 6 donut

Answers

Answer

You need to pay $14.20 to get 4 coffees and 6 donuts.

Explanation

Let's say that the price of one coffee and x and the price of one donut is y.

In the first instance, 3x+4y=10.05.

In the second instance, 5x+7y=17.15.

You can use these equations to find the value of a coffee and the value of a donut.

We can find x and y using elimination. To do this, you should add or subtract one equation from another to "get rid" of a variable (I'll "get rid" of x). We can't just add or subtract the equations right now, since that wouldn't lead to 0x.

Multiply the first equation by 5, and the second equation by 3. After this, both equations will have 15x. Make sure to multiply each term by 5 and 3.

15x+20y=50.25. This means that 15 coffees and 20 donuts is $50.25.

15x+21y=51.45. This means that 15 coffees and 21 donuts is 51.45.

Now since there are an equal number of coffees, we can subtract these equations.

(15x+21y=51.45)-(15x+20y=50.25) equals y=1.20 (a donut costs $1.20).

Plug the price of the donut into y to find x; 3x+4(1.20)=10.05. The value of x is 1.75. The price of a coffee is 1.75.

You can multiply 1.75 by 4 to find the price of 4 coffees and 1.20 by 6 to find the price of 6 donuts.

1.75*4 is 7.00 and 1.20*6 is 7.20.

You can add those to find the total price; 7.00+7.20=14.20.

write your answer in simplest radical form​

Answers

Answer:

3 =f

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = f/ sqrt(3)

sqrt(3) tan 60 = f

sqrt(3) * sqrt(3) = f

3 =f

what is the answer to this question

Answers

Answer:

18

Step-by-step explanation:

Shape = Isosceles Trapezoid

Area = 1/2 (a+b) h

= 1/2 (9+3) x 3

= 18

Answered by Gauthmath

I need help with the question below

Answers

Answer:

a: 1/12

b: 1/6

c: 1/2

d: 1/2

e: 1/12

f: 1/3

Step-by-step explanation:

In a study, 44% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 14 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 14 adults are randomly selected, 3 or fewer are in excellent health. Group of answer choices

Answers

Answer:

Step-by-step explanation:

Probability(P) (k events out of n trials) = nCk * p^k * (1-p)^(n-k), where p=0.40, n=10 and nCk is the number of combinations of n things taken k at a time

:

P ( k < or = 3 ) = P ( k = 3 ) + P ( k = 2 ) + P ( k = 1 ) + P ( k = 0 )

:

P ( k = 3 ) = 10C3 * (0.40)^3 * (0.60)^(10-3) = 0.2149

:

P ( k = 2 ) = 10C2 * (0.40)^2 * (0.60)^(10-2) = 0.1209  

:

P ( k = 1 ) = 10C1 * (0.40)^1 * (0.60)^(10-1) = 0.0403

:

P ( k = 0 ) = 10C0 * (0.40)^0 * (0.60)^(10-0) = 0.0060

:

******************************************************************************

P ( k < or = 3 ) = 0.2149 + 0.1209 + 0.0403 + 0.0060 = 0.3821 is approximately 0.38

The probability that when 14 adults are randomly selected and 3 or fewer are in excellent health is 0.072

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

The percentage of adults who reported their health was excellent = 44 %

The probability of excellent health P = 0.44

The probability of not excellent health = Q - 1 - 0.44 - 0.56

Since, 14 adults are randomly selected.

To find the probability that 3 or fewer are in excellent health,

Use formula

Probability = [tex]^nC_rP^n Q^{n-r}[/tex]

Where P = probability to happen an event, and Q= probability to not happen an event.

The probability that 3 or fewer are in excellent health

= [tex]^{14}C_3 (0.44)^3(0.56)^{14-3} +^{14}C_2(0.44)^2(0.56)^{14-2}+^{14}C_1 (0.44)^1(0.56)^{14-1} + ^{14}C_0 (0.44)^0(0.56)^{14}[/tex]

= 0.0526 + 0.0167 + 0.00328 + 0.000298

= 0.072282

The required probability is 0.072282.

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Line segment AB is congruent to line segment CD.

Which of the following is an equivalent statement?

AB overbar similar to CD overbar
AB overbar congruent to CD overbar
AB overbar equal to CD overbar
AB overbar element to CD overbar

Answers

9514 1404 393

Answer:

  (b)  AB overbar congruent to CD overbar

Step-by-step explanation:

AB with an overbar is the way that line segment AB is designated, where appropriate typesetting is possible. Thus the statement the line segments are congruent is fully equivalent to ...

  AB overbar congruent to CD overbar

Plz help me find side x on the triangle​

Answers

Answer:

x=71

Step-by-step explanation:

Since this is an isosceles triangle as indicated by the lines on the sides, the sides lengths are equal.

When the sides are equal, the base angles are equal

x=71

PLEASE HELP FAST!! I MIGHT GIVE BRAINLIEST TO FASTEST AND ACCURATE
After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly.
The relationship between the elapsed time t, in seconds, and the number of bacteria, B(t) in the petri dish is modeled by the following function:

B(t) = 9300 x (1/64)^t

Complete the following sentence about the rate of change of the bacterial culture
The bacterial culture loses 1/2 of its size every_______ seconds

Answers

Answer:

1/6

Step-by-step explanation:

We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation

4650 = 9300 * (1/64)^t

divide both sides by 9300

1/2 = (1/64)^t

First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because

(1/2)^6 = 64

take the 6th root of both sides

(1/2) = (64)^(1/6)

. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds

* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator

Answer:

0.17 seconds

Step-by-step explanation:

i got this correct on Khan   :)

i hope it helps

Find the domain and range of the function graphed below.

Answers

Answer:

Domain -1 ≤x<2

Range 0 < y ≤4

Step-by-step explanation:

Domain is the input values

X goes from -1 to 2 ( 2 not included)

Domain -1 ≤x<2

Range is the output values

y goes from 0 ( not included) to 4

Range 0 < y ≤4

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=t−t−1, y=1+t2, t=1

Answers

Answer:

Step-by-step explanation:

First, I would find the point on the curve. By substituting t=1, I get (x, y). Next, I will try to eliminate the t and make a xy equation. In this case, the t's will cancel out in 'x=t-t-1" which wouldnt make this a curve. To find the equation of the tangent line, find the deretitave of the xy equation, and subsitute x in to find the slope at that point. Next, use point slope form to find the equation at the point.

Suppose f(x) = loga(x) and f(7) = 2. Find f(343)

Answers

Answer:

6

Step-by-step explanation:

The given function to us is ,

[tex]\rm\implies f(x)= log_a(x) [/tex]

And its value at 7 is 2 , that is ,

[tex]\rm\implies f(x)= log_a(7) =2[/tex]

Taking this ,

[tex]\rm\implies 2= log_a(7) [/tex]

In general we know that ,

[tex]\bf\to log_a b = c ,\ then \ a^c = b [/tex]

Using this , we have ,

[tex]\rm\implies a^2 = 7 [/tex]

Squarerooting both sides ,

[tex]\rm\implies a =\sqrt{ 7 }[/tex]

Therefore , when x is 343 ,

[tex]\rm\implies f(343)= log_{\sqrt7} ( 343) [/tex]

We can write , 343 as 7³ ,

[tex]\rm\implies f(343)= log_{\sqrt7}7^3 [/tex]

[tex]\rm\implies f(343)= log_{7^{\frac{1}{2}}} 7^3 [/tex]

This can be written as ,

[tex]\rm\implies f(343)= \dfrac{ 3}{\frac{1}{2}} [/tex]

[tex]\rm\implies \boxed{\blue{\rm f(343)= 6 }}[/tex]

Hence the required answer is 6.

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Ming rented a bike from Ted's Bikes. It cost $13 plus $3 per hour. If Ming paid $31,then he rented the bike for how many hours?A)7.B)10.3333C)6D)10 Whats the correct answer? WILL GIVE BRAINLIEST!!!! Write the following as an EXPRESSION: How much water do I need to add to l liters of pure alcohol to obtain a solution of 45% alcohol? Tariffs are a tax placed on imported goods.Tariffs are used to give domestically produced goods an advantage in the market.As a result of tariffs, imported goods become more expensive for consumers Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was more than the sum of Jan's and Maxim's scores. What could be Peter's least possible score? a parabola has x-intercepts at x = 1/2 and x=5. what is the equation of the parabola Can I get help? Thanks so much! Plz help guys thanks so much A shop is having a sale.All items are reduced by 25%Work out the sale price of an item normally priced at 90 Which substance would be extensively studied during a college organic chemistry course a pls help before i fail summer school What is the index of the radical below? 10 A. 5 B. 9 C. 2 D. 10 Marcus plans to spend $72 at a local clothing store that sells t-shirts for $8 each and jeans for $12 each, sales tax included. This scenario is modeled by 8x + 12y = 72, where X represents the number of t-shirts purchased and y represents the number of jeans purchased.What point on the graph represents Marcus' purchase if it consisted of only t-shirts?OptionA. The x intercept (9,0)B. The y intercept (0,6)C. The x intercept (6,0)D. The y intercept of (0,9) Why was the development of the Bessemer process important to GreatBritain's Industrial Revolution? The United States could not reach acceptable terms of settlemenet with France regarding peaceful shippingtrue or false 2. What is the variable in the expression:13x3 +7(Select one answer)7313 Analyze the image below and answer the question that follows.Two tectonic plates push toward each other labeled with arrows.Image courtesy of USGSAt the type of plate boundary shown in the image above, two plates are colliding. Which type of plate boundary is shown in this image?A.divergentB.separatingC.convergentD.transformPlease select the best answer from the choices providedABCD Find the amount of tax and the selling price Heidi is having trouble understanding the Black Lives Matter (BLM) movement and why her workplace sent out an email affirming the company's commitment to diversity and inclusion. This is probably because as a white woman from a small town with little exposure to diversity efforts, Heidi has not had much education about what BLM is trying to accomplish. She is wrestling with this new information about systemic racism and ultimately dismisses it as unfounded because it is contrary to her past experiences. This is an illustration of which of the following. Pick the best answer from the list based on our book's discussion of these terms:a. Stereotyping b. An entrenched mental model c. Leader-Member Exchange Theory d. Ethnocentrism e. Social Identity Theory If 142 adults are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 1.5 kilograms