X^2+_x+36
What is the Perfect Square Trinomials?

Answers

Answer 1

Answer:

Step-by-step explanation:

hello,

[tex]36=6*6=6^2[/tex]

and

[tex](x+6)^2=x^2+12x+36[/tex]

so the missing term is 12 to get a perfect square trinomial

hope this helps

Answer 2

Answer: The answer is "12".

Step-by-step explanation: Correct on edgen. (2022)


Related Questions

What's the measure of Z1 if Z CBD = 75° and ZABC = 135°?

Answers

Answer:

60°

Step-by-step explanation:

∠ABC-∠CBD=∠1

[tex]135-75[/tex]

[tex]=60[/tex]

Answer:

Brainliest goes to me!

Step-by-step explanation:

angle abc = 135 degrees

part of it is angle 1 and the other part is angle cbd

<abc (135) = cbd (75) + <1

angle 1 = 60 degrees

Edith is purchasing a car whose MSRP is $22,750. She has asked for an

upgrade to a premium package for which the cost is $5050. The delivery of

this vehicle is an additional $700. Edith will trade in her own car, and the

dealer has offered her $8000. If Edith agrees to this, what will be her total

price for the vehicle?

Answers

Answer:

Dear Yates

Answer to your query is provided below

Total Price for her vehicle will be $20600

Step-by-step explanation:

Edith's trading is worth $8000. So, without the package upgrade of the vehicle delivery charge, her cost is:

$22750 - $8000 = $14750.

Now, add the package upgrade ($5050) and the delivery charge ($800).

$14750 + $5050 + $800 = $20600.

The total cost price of the vehicle after all the expenses is given by the equation A = $ 20,500

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The initial cost of the vehicle is = $ 22,750

Now , Edith has asked for an upgrade to a premium package for which the cost is $5050

So , the new cost of the vehicle = $ 22,750 + $ 5050 = $ 27,800

Now , the delivery charge of the vehicle = $ 700

And , the updated total price = $ 27,800 + $ 700 = $ 28,500

Now , the dealer has offered her $8000

So , the final price of the vehicle = updated total price - $ 8000

On simplifying the equation , we get

The final price of the vehicle A = $ 28,500 - $ 8,000

The final price of the vehicle A = $ 20,500

Hence , the final price of the vehicle is $ 20,500

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Please answer this correctly

Answers

Answer:

64

Step-by-step explanation:

There are only pink and yellow sections of the circle, so every spin will land on pink or yellow.

Answer: 64

Answer:

Brianliest!

Step-by-step explanation:

since there are only the colors pink and yellow and the prediction for the   number of times it will land on pink or yellow, it will have a 100% probability

64

Describe and explain the difference between the mean, median, and mode.
Make up an example (not in the book or in your lectures) in which the median would be the preferred measure of central tendency.

Answers

Answer:

Mean, median and mode are measures of central tendency. The median is a better measure of central tendency when the given data contains outliers.

Step-by-step explanation:

Mean, median and mode are all measures of central tendency. These are statistical information that gives the middle or centre of a set of data. Since the values are central, they usually represent the entire distribution.

The mean is the obtained by dividing the sum of all the scores by the number of scores. The median is the middle value when numbers are arranged in increasing or decreasing order of magnitude. The mode is the most frequently occurring score in a distribution.

Let us see an example of the median as a measure of central tendency. Given the set of values; 4, 10, 12, and 26, the median is obtained from the average of the two middle numbers in the set of values which are 10 and 12 as seen from the set of values above. Hence the median of this set of values is 11.

The median can be a very good measure of central tendency, even better than the mean mostly in situations where there are outliers, or extreme values.

Which has the lowest value: 1/20, 1/80, or 1/100?

Answers

1/100 because it’s being split the most

Answer:

1/100

Step-by-step explanation:

Since the numerators are all the same, the lowest value will depend on the denominators. The greater the denominator, the lower the value. Thus, the answer is 1/100

what is the median of this set of measurements? 10cm, 15cm, 15cm, 18cm, 20cm.

Answers

Answer:

15 cm

Step-by-step explanation:

Median means middle number

10,15,15,18,20

Answer:

15 cm

Step-by-step explanation:

The median is the number in the middle of a data set.

First, arrange the data from least to greatest.

10 cm, 15 cm, 15 cm, 18 cm, 20 cm

Now, take one number off each end of the data set until the middle number is reached.

10 cm, 15 cm, 15 cm, 18 cm, 20 cm

15 cm, 15 cm, 18 cm

15 cm

Therefore the median of the set of measurements is 15 cm.

What is (2a)^2 ? Help please

Answers

Answer:

4a²

Step-by-step explanation:

(2a)²

Distribute the square to all the terms in the bracket.

2²a²

Solve the powers if possible.

4a²

Answer:

4a²

Step-by-step explanation:

=> [tex](2a)^2[/tex]

=> [tex](2^2*a^2)[/tex]

=> 4 * a²

=> 4a²

What is the scale factor of the two triangles below ?

Answers

Answer:

none of the choices are correct

Step-by-step explanation:

it's 4/3

20/15=4.3333333333333

4/3=4.333333333333333

8/6=4.33333333333

The scale factor of the two triangles is [tex]\frac{3}{4}[/tex].

What is scale factor of the two triangles?

When two triangles are similar, the reduced ratio of any corresponding sides is called  the scale factor of the similar triangles.

What is similar triangle?

Similar triangles are triangles that have the same shape, but their sizes may vary.

According to the given question

We have two triangles NGK and ALH

In which

NG = 15, GK = 6, NK = 3

And, AL =  20, LH = 8 and AH = 4

Since, we have to find the scale factor of these two triangles so the two triangles must be similar.

As, ΔNGK is similar to ΔALH

⇒ [tex]\frac{NG}{AL} = \frac{GK}{LH} = \frac{NK}{AH}[/tex]

⇒ [tex]\frac{15}{20} = \frac{6}{8} =\frac{3}{4}[/tex]

⇒ [tex]\frac{3}{4} = \frac{3}{4} =\frac{3}{4}[/tex]

Hence, the scale factor of the two triangles is [tex]\frac{3}{4}[/tex].

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Which quantity is proportional to 40⁄8?

Answers

5

40/8 is 5. You can check this by multiplying 8 and 5 and seeing if it equals 40. Also, if you look at 40/8 as a fraction you can simplify it. 40/8=20/4=10/2=5/1=5

The measure of the supplement of an angle is 42 more than 3 times the measure of the complement of an angle. Find the measure of the angle. ​

Answers

Answer:

126

Step-by-step explanation:

We multiply 42 × 3= 126

The measure of the angle is 126.

The measure of angle will be 66°.

What is Complementary angle?

The sum of two or more angle is 90 degree then the angle is called the complementary angle.

Given that;

The measure of the supplement of an angle is 42 more than 3 times the measure of the complement of an angle.

Now,

Let the measure of angle = x

So, We can formulate;

⇒ (180 - x) = 42 + 3 (90 - x)

Solve for x as;

⇒ 180 - x = 42 + 270 - 3x

⇒ 180 - x + 3x = 312

⇒ 2x = 312 - 180

⇒ 2x = 132

⇒ x = 66

Thus, The measure of angle will be 66°.

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The pie chart shows the age distribution in a village of 120 a) how many people are older than 60 = 120 B) What percentage of the villagers are under 25? I KNOW A I NEED TO KNOW B

Answers

Answer:

5%

Step-by-step explanation:

Plz rate thanks

Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Answers

Answer:

[tex]a. \quad 8\left(x+a\right)\\\\b. \quad 8\left(2x+h\right)[/tex]

Step-by-step explanation:

Best Regards!

Answer:  (a) 8(x  + a)   -->    8x + 8a

               (b) 8(2x + h)  -->   16x + 8h  

Step-by-step explanation:

f(x) = 8x²

f(a) = 8a²

[tex]\dfrac{f(x)-f(a)}{x-a}\quad = \quad \dfrac{8x^2-8a^2}{x-a}\quad = \quad \dfrac{8(x-a)(x+a)}{x-a}=\large\boxed{8(x+a)}[/tex]

f(x + h) = 8(x + h)²

           = 8(x² + 2xh + h²)

           = 8x² + 16xh + 8h²

f(x) = 8x²

[tex]\dfrac{f(x+h)-f(x)}{h} = \dfrac{(8x^2+16xh+8h^2)-8x^2}{h}\\\\\\.\qquad \qquad \qquad \quad =\dfrac{16xh + 8h^2}{h}\\\\\\.\qquad \qquad \qquad \quad =\dfrac{8h(2x + h)}{h}\\\\\\.\qquad \qquad \qquad \quad =\large\boxed{8(2x+h)}[/tex]

. A coin is tossed three times, and the sequence of heads and tails is recorded.(a) Determine the sample space, Ω.(b) List the elements that make up the following events: i.A= exactly two tails, ii.B= at least twotails, iii.C= the last two tosses are heads(c) List the elements of the following events: i.A, ii.A∪B, iii.A∩B, iv.A∩C

Answers

Answer:

See explanation below

Step-by-step explanation:

Here a coin was tossed three times.

Let H = head &  T = tail

Find the following:

a) The sample space:

Since a coin is tossed thrice, all possible outcome would be:

S = { HHH, HHT, HTH, HTT, TTT, TTH, THH, THT}

b) i) A = Exactly 2 tails: Here exactly 2 tails were recorded.

A = {HTT, TTH, THT}

ii) B = at least two tails: Here 2 or more tails were recorded.

B = {HTT, TTT, TTH, THT}

iii) C = the last two tosses are heads:

C = { HHH, THH}

c) List the elements of the following events:

i) A. This means all outcomes in A

= {HTT, TTH, THT}

ii) A∪B. A union B, means all possible outcomes present in A or B or in both

= {HTT, TTH, THT, TTT}

iii) A∩B. This means all possible outcomes of A that are present in B.

= {HTT, TTH, THT}

iv) A∩C. All outcomes A that are present in B

= {∅}

Find the midpoint of AB when A=(1,-2) B=(1,-1)

Answers

Answer:

Midpoint Of AB = ( 1+1/2 , -2-1/2)

= (2/2 , -3/2)

= ( 1 , -1.5)

Hope this helps

Please mark Branliest.

Answer:

-2,0

Step-by-step explanation:

Who is correct? Explain. Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B. Iliana is correct; BC is opposite ∠B and AC is adjacent to ∠B. Both are correct because both AC and BC are opposite ∠B. Neither is correct because neither AC nor BC is opposite ∠B.

Answers

Answer:

A. Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B.

Step-by-step explanation:

edge2021

The description of Thomas is correct. AC is opposite ∠B and BC is adjacent to ∠B.

What is Right Angled Triangle?

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Hypotenuse of a right angled triangle is the longest side.

Opposite side with respect to an angle is the side opposite to that angle.

Adjacent side with respect to an angle is the side which is adjacent to the angle.

Given is a triangle ABC.

Here C is the right angle.

Then the side opposite to the right angle is the hypotenuse.

So AB is the hypotenuse.

Now we are describing the sides in relation to the ∠B.

Side opposite to ∠B is AC, which is the opposite side.

Side adjacent to ∠B is BC, which is the adjacent side.

This is the description of Thomas.

Hence Thomas is correct about describing the sides in relation to ∠B.

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The complete question is as follows :

Two students describe the sides of right triangle ABC in relation to ∠B. Triangle A B C is shown. Angle A C B is a right angle. Tomas : AB is the hypotenuse. AC is the opposite side. BC is the adjacent side. Iliana : AB is the hypotenuse. BC is the opposite side. AC is the adjacent side. Who is correct? Explain. Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B. Iliana is correct; BC is opposite ∠B and AC is adjacent to ∠B. Both are correct because both AC and BC are opposite ∠B. Neither is correct because neither AC nor BC is opposite ∠B.

iven two dependent random samples with the following results: Population 1 70 60 72 55 69 50 55 74 Population 2 72 56 81 50 79 60 50 78 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.1 for the test. Assume that both populations are normally distributed. Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.

Answers

Answer:

The value of the test statistic is:

t = -1.112

Step-by-step explanation:

In this case a paired difference test is to be performed.

The hypothesis can be defined as follows:

H₀: There is no difference between the two population means, i.e. d = 0.

Hₐ: There is a significant difference between the two population means, i.e. d ≠ 0.

The significance level of the test is, α = 0.10.

Use MS-Excel to perform the analysis.

Consider the output attached below.

The value of the test statistic is:

t = -1.112

The p-value of the two-tailed test is:

p-value = 0.303.

Decision rule:

Reject the null hypothesis if the p-value is less than the significance level.

p-value = 0.303 > α = 0.10.

The null hypothesis was failed to be rejected at 10% level of significance.

Conclusion:

There is not enough evidence to support the claim that there is a difference between the two population means.

Can someone help me solve this 6x+5=3x+14

Answers

Answer:

x=1/3 is the answer

Step-by-step explanation:

6x+15=3x+14

substracting 3x on both sides

6x-3x+15=3x-3x+14

3x+15=14

subtracting 15 on both sides

3x+15-15=14-15

3x=1

x=1/3

i hope this will help you

Answer:

X=3

[tex]solution \\ 6x + 5 = 3x + 14 \\ or \: 6x - 3x = 14 - 5 \\ or \: 3x = 9 \\ or \: x = \frac{9}{3} \\ x = 3[/tex]

hope this helps ..

Good luck on your assignment...

Suppose it takes 18 hours for a pipe to fill a tank of water, if the tank
had no leak. However, our tank has a crack that will cause a full tank to
leak out in 30 hours. If the tank starts off empty, how long will it take to
fill the leaky tank?

Answers

Answer:

Step-by-step explanation:

Let the volume of tank be x

In 18 hours volume of tank filled = x

we have to find the volume of tank which is filled in 1 hours.

For that we divide LHS and RHS by 18

In 18/18 hours volume of tank filled = x/18

In 1 hours volume of tank filled = x/18

In 30 hours volume of tank emptied = x

we have to find the volume of tank which is emptied in 1 hours.

For that we divide LHS and RHS by 30

in 30/30 hours volume of tank filled = x/30

In 1 hours volume of tank filled = x/30

If tank is empty and one starts to fill it, two things will happen

it will start filling at rate of x/18 hours

But there is leak which will start to empty the tank at  x/30 hours

So , at any given time rate if filling of water will be rate of filling the tank- rate of emptying the tank

In 1 hour volume of tank filled if both filling and leaking takes place simultaneously =  x/18 -x/30 = (30-18)x/18*30 = 12x/18*30 = x/3*15 = x/45

In 1 hour volume of tank filled = x/45

in 1*45 hour volume of tank filled = x/45*45 = x

Thus, it will take 45 hours to fill the leaky tank  .

What is the sum of 2x^2-x and -x-2x^2-2

Answers

Answer:-2x-2

[tex]solution \\ {2x}^{2} - x + ( - x - {2x}^{2} - 2) \\ = {2x}^{2} - x - x - {2x}^{2} - 2 \\ = {2x}^{2} - {2x}^{2} - x - x - 2 \\ = - 2x - 2[/tex]

Hope it helps

Good luck on your assignment

Answer:

[tex] - 2x - 2[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - x + ( - x - 2 {x}^{2} - 2) \\ 2 {x}^{2} - x - x - 2 {x}^{2} - 2 \\ 2 {x}^{2} - 2 {x}^{2} - x - x - 2 \\ - 2x - 2[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

prove that
1/(sec A - tan A) =sec A + tan A​

Answers

Answer:

Step-by-step explanation:

let s estimate the following

[tex](secA-tanA)(secA+tanA)=sec^2A-tan^2A=\dfrac{1}{cos^2A}-\dfrac{sin^2A}{cos^2A}=\dfrac{1-sin^2A}{cos^2A}=\dfrac{cos^2A}{cos^2A}=1[/tex]

as [tex]cos^2A+sin^2A=1[/tex]

it means that

[tex]\dfrac{1}{secA-tanA}=secA+tanA[/tex]

hope this helps

X squared plus 5x plus 6 in a factor of binomials

Answers

Answer:

(x + 3)(x + 2)

Step-by-step explanation:

Given

x² + 5x + 6

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2 , since

3 × 2 = 6 and 3 + 2 = 5 , thus

x² + 5x + 6 = (x + 3)(x + 2)

aisha places 6 counters into this place value chart


list all the possible numbers she could represent

Answers

Answer:

All the possible numbers she could represent using the counters are:

0.6  |  1.5  |  2.4  |  3.3  |  4.2  |  5.1  |  6

Step-by-step explanation:

Please refer to the attached diagram for this question.

We are asked to list all the possible numbers she could represent using the counters.

The possible numbers are:

When there is 0 counter in the "ones" place and 6 counters in the "tenths" place.

0.6

When there is 1 counter in the "ones" place and 5 counters in the "tenths" place.

1.5

When there are 2 counters in the "ones" place and 4 counters in the "tenths" place.

2.4

When there are 3 counters in the "ones" place and 3 counters in the "tenths" place.

3.3

When there are 4 counters in the "ones" place and 2 counters in the "tenths" place.

4.2

When there are 5 counters in the "ones" place and 1 counter in the "tenths" place.

5.1

When there are 6 counters in the "ones" place and 0 counter in the "tenths" place.

6

Therefore, all the possible numbers she could represent using the counters are:

0.6  |  1.5  |  2.4  |  3.3  |  4.2  |  5.1  |  6

Please help with this

Answers

the right answer is C
Answer: c

Explanation: the vertical line test is used to determine if a graph is a function if and only if it only passes the line ones

A person tosses a coin 9 times. In how many ways can he get 3 heads?

The equation is up above I’m not sure how to use it

Answers

Answer: if he/she tosses the coin 9 times i am pretty sure he/she out of 5/9 he/she will get heads

Step-by-step explanation:

1 if he flips the coin 9 times and it spins and it flips i am pretty sure a couple times he/she will get tails or heads 2 but there is a way for him/her to get heads it flips and spins he/she is most likey to get heads 3 if he/she flips the coin and the coin keeps going the coin will flip and he/she will get heads hope this helps you :)

Which of the following is the simplified fraction that’s equivalent to 0.315? A) 35/999 B) 35/111 C) 105/333 D) 31/99

Answers

9514 1404 393

Answer:

  B)  35/111

Step-by-step explanation:

  [tex]0.\overline{315}=\dfrac{315}{999}=\boxed{\dfrac{35}{111}}[/tex]

The denominator of the fraction has as many 9s as the decimal has repeating digits. Here, the numerator and denominator both have factors of 9 that can be cancelled.

Based on the following construction which statement below must NOT be true?

Answers

Answer:

  see below

Step-by-step explanation:

The construction makes ray BF a bisector of angle ABC. That bisector divides ABC into the two congruent angles DBF and EBF. As a consequence, angle EBF will be half of ABC, not equal to ABC.

A bag contains 70 pencils out of which 15 are green and 30 blue.how many pencils of other colours are in the bag​

Answers

Answer:

25 pencils.

Step-by-step explanation:

You have 30 blue pencils and 15 green ones. To find how many pencils of other colors are in the bag, we can solve: 70-15-30=25

So, there are 25 pencils of other colors in the bag.

Which factor differentiates between weather and climate?

Answers

Answer:

Step-by-step explanation:

Weather is usually referring to current condition of an area. For eg, the weather in NYC is sunny on this day with 68F.

However, Climate is referring to the average weather of that area (usually taken over more than 25 years). For eg, the climate in NYC is chilly with temperatures ranging from 68-78F.

Completely made up data but hope that clears my point. Weather is assessed temporarily whereas, Climate is usually prepared long term.

Answer:The length of time over which conditions are measured

Step-by-step explanation:

Do you think that subliminal messages should be banned from advertising?Why or why not? Will mark the brainliest!!!

Answers

Answer:

yes

Step-by-step explanation:

I believe consumers and targets of these ad campaigns should know EXACTLY what they are buying. They need to be intrigued by the ad without the use of Subliminal Messages because with these tricks, big companies can trick and manipulate people and consumers into buying many things. For example they can buy fast food, sweets, and perhaps medicines that don't even work.

I think the target audience for these advertisements, the buyers, should be completely aware of what they are purchasing. Without the usage of subliminal messages, they must be captivated by the advertisement, since large corporations can deceive and trick individuals into buying a variety of products by using these techniques. They may choose to purchase fast meals, treats, and possibly even ineffective medications.

What is Advertising?

The process and methods used in advertising are intended to draw attention to a good or service. With the help of advertising, businesses strive to draw consumers' attention to their goods and services. Although there are many purposes, the commercial advertisement is the most frequent. It is typically used to market a certain commodity or service.

Through "branding," in which consumers link a brand names or image with specific traits, commercial advertising frequently aim to boost consumption of their goods or services.

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Find the volume of the cone.
Please help fast

Answers

Answer:

[tex] \boxed{\sf Volume \ of \ cone = \frac{785}{3} \: {m}^{3} \: \: or \: \: 261.67 \: {m}^{2} } [/tex]

Given:

Diameter of cone (d)= 10 m

Height of cone (h) = 10 m

To find:

Volume of cone

Step-by-step explanation:

[tex] \sf Radius = \frac{Diameter}{2} \\ \\ \sf \implies Radius = \frac{10}{2} \: m \\ \\ \sf \implies Radius \: (r) = 5 \: m[/tex]

[tex] \sf Volume \ of \ cone = \frac{1}{3} \pi {r}^{2} h \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \pi {(5)}^{2} \times 10\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \pi \times 25 \times 10\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \pi \times 250\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 3.14 \times 250\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 785\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{785}{3} \: {m}^{3} \: \: \: \: or \: \: \: \: 261.67 \: {m}^{2} [/tex]

Answer:

262.

Step-by-step explanation:

w.k.t

r = 10\2

or , r = 5

h = 10

V=π r^2 h \3

hence ,

v=22\7 * 5^2 *10\3

261.8

after rounding up

262.

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Solve 6x - 11 = x + 14 Given that angle ABC=65 and angle BCD=105. Is it possible (consider all cases): that a)Line AB is parallel to line CD. and b) Line AB is parallel to line CD. Given the diagram below, what is cos(45") ?A. 22B.C.V2D. 4,2 would the founding fathers approve of how the government operates today A disk-shaped merry-go-round of radius 2.83 m and mass 185 kg rotates freely with an angular speed of 0.701 rev/s . A 63.4 kg person running tangential to the rim of the merry-go-round at 3.51 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. Part A What is the final angular speed of the merry-go-round The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.1 inches and a standard deviation of 2.55 inches.Required:a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? b. What percentage of men are SHORTER than 6 feet 3 inches? c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? d. What percentage of women are TALLER than 5 feet 11 inches? After two weeks of lessons, I began to get bored with what I was learning A. Adverb clause B. Noun Clause C Adjective Clause Identify the equation that translates y = l n (x) five units down. y = l n (x minus 5) y = l n (x) + 5 y = l n (x + 5) y = l n (x) minus 5 Which is the graph of the function f(x) = -x P(x)=3x + 4x-8+x-7x Degree; Type; Leading coefficent; The cotton gin allowed for faster cleaning and processing of cotton fibers. How did this affect the Southern economy? It allowed for a sharp increase in cotton production. It reduced the value of enslaved labor. It led to a sharp drop in the price of cotton. A sequence index uses a built-in function called length or len() to provide a total number of elements in an ordered list. With which iteration does this function work? a for loop a while loop an infinite loopa single statement loop Which of the following is an effect of u.s participation in the global economy? The most common isotopic forms of hydrogen are ordinary hydrogen (1H) and deuterium (2H), which have percent compositions of 99.98% and 0.0115%, respectively. Convert the percent isotopic composition value of 2H to decimal form. How can effective state laws best support a fair election process? Raphael and Susan Firth live in Swarthmore, PA. Their son, Alex, owns his own plumbing business. For each of the following transactions that occur in their lives, identify whether it is included in the calculation of U.S. GDP as part of consumption (C), investment (I), government purchases (G), exports (X), or imports (M). Check all that apply. a. Susan gets a new video camera made in the United States. b. Alex buys a new set of tools to use in his plumbing business. c. Raphael buys a sweater made in Guatemala. d. Raphael's employer assigns him to provide consulting services to an Australian firm that's opening a manufacturing facility in China.e. The Federal Aviation Administration expands the runways at Philadelphia International Airport, which is just a few miles from Raphael and Susan's house. Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15%and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?OA. 135 square feetOB. 125 square feetOC. 127 square feetOD. 133 square feet Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south atan average speed of 30 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.At the end of t hours, the two vehicles are miles apart.(Simplify your answer. Type an exact answer, using radicals as needed.) Jill thought she saw a bear in the woods Her heart rate became elevated, her pupils dilated and she ran in the opposite direction before even thinking about it Now that she is safe inside her cabin. Jill's heart rate has slowed her blood pressure has lowered and her pupils have returned to normal. This process of returning to homeostasis is regulated by the _________A. Sympathetic nervous system B. Parasympathetic nervous system C. Somatic nervous system D. Central nervous system what can be a result of free trade?