what is the value of x if e^3+6+8

Answers

Answer 1

Answer:

A

Step-by-step explanation:

What Is The Value Of X If E^3+6+8

Related Questions

Sketch the graph of y=-3(x-3)2+4 and identify the axis of symmetry.

Answers

Answer:

The axis of symmetry of parabola is the equation where it cuts the middle of the graph.

So the axis of symmetry is x = 2 .

a sinusoid always function has an amplitude of 3, a frequency of 1/8pi, and a midline at 2. Which of the following equations satisfies these conditions? a. f(x)=3sin x/8pi +2 b. f(x)=3sin(4x) +2 c. f(x)=3sin(8pi x) +2 d. f(x)=3sin x/4 +2

Answers

Answer:

The correct option is;

f(x) = 3·sin x/8·π + 2

Step-by-step explanation:

The given parameters for the sinusoidal function are;

Amplitude of oscillation = 3

Frequency of oscillation = 1/8·π

Midline of oscillation= 2

The general form of sinusoidal equation is y = A·sin(B(x - C)) + D

Where;

A = The amplitude

B = The frequency

C = The horizontal shift

D = The midline or vertical shift

Substituting the given values into the general form of sinusoidal equation, we have;

f(x) = y =  3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2

Which gives;

f(x) = 3·sin(x/8·π) + 2.

Solve for x: |x| − 8 = −5 (2 points) A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution

Answers

Answer:

x = 3 and x = -3

Step-by-step explanation:

/x/ - 8 = -5

Add 8 to both sides

/x/ -8 + 8 = -5 +8

/x/ = 3

/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3

(३) एक शब्द में उत्तर लिखो:
१. कवि की जिह्वा पर इसके गीत हों -
२. मातृभूमि के चरण धोने वाला
३. मातृभूमि के सपूत -
४. प्रतिदिन सुनने/सुनाने योग्य नाम -
५. मातृभूमि के चरणों में इसे नवाना है​

Answers

करना चाहिए। वे तुम्हें नष्ट कर देंगे।

आप कोई मौका नहीं खड़े हैं। तुम

उसके हाथ पर मर जाओगे। पछताना

Scarlett bought an ant farm with 80 ants. Frond the following week forward, the ant population tripled every week. Let g(n) be the number on ants in scarletts farm in the nth week since she got it. G is a sequence. What kind is it? Write an explicit formula for the sequence starting with g(n)=? Need help really bad I’m stuck and can’t figure out what it is

Answers

Answer:

g(n)=80×3^(n-1)

Step-by-step explanation:

First term (a)=80

The ant population tripled every week.

So, the population of ant after 1st week will be (80 × 3) = 240

After 2 weeks, the population triples again.

We have, (240 × 3) = 720

Common ratio (r)=720/240

=3

r=3

The ants population is increasing in a geometric progression

A geometric progression is given by

g(n)=a × r^(n-1)

Substitute values of a and r to get the explicit formula

g(n)=a × r^(n-1)

g(n)=80×3^(n-1)

WHAT IS THE ANSWER PLS HELPPPPP!!!!!

Answers

Answer:

5^x - 5^-x

Step-by-step explanation:

g(x) = 5^-x

h(x) = 5^x

We want h(x) - g(x)

h(x) - g(x) = 5^x - 5^-x

This cannot be simplified

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

One fifth of the square of a number

Answers

Answer:

The statement, one fifth of the square of a number is written as

[tex] \frac{1}{5} {x}^{2} [/tex]

Hope this helps you

A research agency asks a random sample of respondents, ‘Would you vote for a female candidate for President if she were qualified in every other way?” The design of this study is flawed. How?

A. More information should have been provided about this potential female candidate for president, such as age, race, and religious affiliation.

B. Only carefully screened subjects should have been allowed to answer this survey question because not everyone is likely to vote in the next presidential election.

C. Research agencies should not ask survey questions about differences in age, race, gender, or religious affiliation as there is an increased risk in offending some sample respondents.

D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”

Answers

The correct answer is D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”

Explanation:

One of the factors that can make a study flaw is bias, this means the study includes questions or content influenced by personal judgements or that tries to influence the answers of the respondents. This occurs in the question "‘Would you vote for a female candidate for President if she were qualified in every other way?” because the phrase "if she were qualified in every other way" indirectly tells respondents women are less qualify or might not be qualified to be in the role of a president, which shows a personal judgment. Also, this wording might influence respondents to answer they would not vote for a woman.

Which set of points does NOT represent a function?
OA) (8,5), (7,5), (6,5), (5,5)
O B) (3,-5), (3, -1), (3, 2), (3, 4)
OC) (-2,3), (-3,2), (2, -3), (3, -2)
OD) (4, -1), (5, 1), (-1,4), (1,5)

Answers

Answer:

Answer A does not represent a function(I think)

Step-by-step explanation:

Because the Y-coordinates are the same.

Write a pair of negative integers whose difference is 8.

Answers

Answer:

(-5,-13) has a difference of 8

Answer:

-2 and -10

Step-by-step explanation:

negative integers are whole numbers below 0

difference is the same as (-)subtraction

x-y=8

if x= -2

-2-y=8

-y=8+2

-y=10

y= -10.

confirmation

-2 - (-10)=8

-2+10=8

8=8

1. an alloy contains zinc and copper in the ratio of 7:9 find weight of copper of it had 31.5 kgs of zinc.

2. compare the following ratios

i) 2:3 and 4:5
ii) 11:19 and 19:21
iii) ½ : ⅓ and ⅓ : ¼
iv ) 1⅕ : 1⅓ and ⅖ : 3/2

v) if a : b = 6:5 and b:c = 10:9, find a:c

vi) if x : y = ⅙:⅛ and y : z = ⅛: ⅒, find X : z

sorry many questions​

Answers

Answer:

Step-by-step explanation:

Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.

If the weight of an alloy = x kgs

Then weight of copper = [tex]\frac{9}{7+9}\times (x)[/tex]

                                      = [tex]\frac{9}{16}\times (x)[/tex]

And the weight of zinc = [tex]\frac{7}{7+9}\times (x)[/tex]

                                      = [tex]\frac{7}{16}\times (x)[/tex]

If the weight of zinc = 31.5 kg

31.5 = [tex]\frac{7}{16}\times (x)[/tex]

x = [tex]\frac{16\times 31.5}{7}[/tex]

x = 72 kgs

Therefore, weight of copper = [tex]\frac{9}{16}\times (72)[/tex]

                                               = 40.5 kgs

2). i). 2 : 3 = [tex]\frac{2}{3}[/tex]

        4 : 5 = [tex]\frac{4}{5}[/tex]

Now we will equalize the denominators of each fraction to compare the ratios.

[tex]\frac{2}{3}\times \frac{5}{5}[/tex] = [tex]\frac{10}{15}[/tex]

[tex]\frac{4}{5}\times \frac{3}{3}=\frac{12}{15}[/tex]

Since, [tex]\frac{12}{15}>\frac{10}{15}[/tex]

Therefore, 4 : 5 > 2 : 3

ii). 11 : 19 = [tex]\frac{11}{19}[/tex]

    19 : 21 = [tex]\frac{19}{21}[/tex]

By equalizing denominators of the given fractions,

[tex]\frac{11}{19}\times \frac{21}{21}=\frac{231}{399}[/tex]

And [tex]\frac{19}{21}\times \frac{19}{19}=\frac{361}{399}[/tex]

Since, [tex]\frac{361}{399}>\frac{231}{399}[/tex]

Therefore, 19 : 21 > 11 : 19

iii). [tex]\frac{1}{2}:\frac{1}{3}=\frac{1}{2}\times \frac{3}{1}[/tex]

             [tex]=\frac{3}{2}[/tex]

     [tex]\frac{1}{3}:\frac{1}{4}=\frac{1}{3}\times \frac{4}{1}[/tex]

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

Now we equalize the denominators of the fractions,

[tex]\frac{3}{2}\times \frac{3}{3}=\frac{9}{6}[/tex]

And [tex]\frac{4}{3}\times \frac{2}{2}=\frac{8}{6}[/tex]

Since [tex]\frac{9}{6}>\frac{8}{6}[/tex]

Therefore, [tex]\frac{1}{2}:\frac{1}{3}>\frac{1}{3}:\frac{1}{4}[/tex] will be the answer.

IV). [tex]1\frac{1}{5}:1\frac{1}{3}=\frac{6}{5}:\frac{4}{3}[/tex]

                  [tex]=\frac{6}{5}\times \frac{3}{4}[/tex]

                  [tex]=\frac{18}{20}[/tex]

                  [tex]=\frac{9}{10}[/tex]

Similarly, [tex]\frac{2}{5}:\frac{3}{2}=\frac{2}{5}\times \frac{2}{3}[/tex]

                       [tex]=\frac{4}{15}[/tex]                  

By equalizing the denominators,

[tex]\frac{9}{10}\times \frac{30}{30}=\frac{270}{300}[/tex]

Similarly, [tex]\frac{4}{15}\times \frac{20}{20}=\frac{80}{300}[/tex]

Since [tex]\frac{270}{300}>\frac{80}{300}[/tex]

Therefore, [tex]1\frac{1}{5}:1\frac{1}{3}>\frac{2}{5}:\frac{3}{2}[/tex]

V). If a : b = 6 : 5

     [tex]\frac{a}{b}=\frac{6}{5}[/tex]

        [tex]=\frac{6}{5}\times \frac{2}{2}[/tex]

        [tex]=\frac{12}{10}[/tex]

  And b : c = 10 : 9

  [tex]\frac{b}{c}=\frac{10}{9}[/tex]

 Since a : b = 12 : 10

 And b : c = 10 : 9

 Since b = 10 is common in both the ratios,

 Therefore, combined form of the ratios will be,

 a : b : c = 12 : 10 : 9

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+__

Answers

Answer:

37

Step-by-step explanation:

1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will Arjun have in his savings account? £ 1. Connor invests £1500 of his money for 2 years at a simple interest rate of 10%. How much money will he get back in interest?

Answers

Answer:

1. 900

2. 350

Step-by-step explanation:

the formula,

A= P(1+rt)

A= final amount

P= starting amount

r= intrest rate

t= time

1. A=750(1+.05*4)

A=750(1.2)

A=900

2. A=1500(1+.1*2)

A=1500(1.1)

A=1650

But theyre

asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned

1650-1500=350

which of the following is the Pythagorean theorem

Answers

Answer:

[tex]a^2+b^2=c^2[/tex]

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula [tex]a^2+b^2=c^2[/tex] is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

Answer:

in a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length

Pleaseeee helppppp❤️

Answers

Answer:

The expression will be simplified into [tex]26x^4y^3+35xy^6-42xy^5\\[/tex]

Step-by-step explanation:

It's like addition, when you multiply exponents that are on the same bases as each other.

steven wants to buy a 495 steven has no money saved,but will be able to deposit 40 into a savings account when he receives his paycheck each Friday however before steven can buy the bike he must give his sister 65 that he owes her

Answers

Answer:

14 paychecks

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

Therefore , he must save for 14 paychecks

Hope this helps and pls mark as brainliest :)

Answer:

14

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Hope this help

Mark me BRAINLIEST

Tysm

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. To get the best deal on a CD​ player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed​ below: ​$124 ​$256 ​$118 ​$441 ​$122 ​$335 ​$340 ​$191

Answers

Answer:

$122.1

Step-by-step explanation:

We are given the following data in the question

$124, ​$256 ​, $118, ​$441, ​$122, ​$335, ​$340, ​$191

Step 1

Find the mean

Mean = Sum of Terms / Number of Terms

Number of Terms = 8

Mean = ($124 + $256 ​+ $118 + ​$441 + $122 + ​$335 + ​$340 + ​$191 )/ 8

Mean = $1927/8

= $240.875

Approximately to 1 decimal place

$240.9

Step 2

Standard deviation formula

S = √( x - μ)²/ N - 1),

N = Number of terms

μ = Mean

S = √[($124 - $240.9)² + ($256 - $240.9)² + ($118 - $240.9)² + (​$441 - $240.9)² + ($122 - $240.9)² + ​($335 - $240.9)² + ​($340 - $240.9)²+ ​($191 -$240.9)²/ 8 - 1]

S = $122.0895

Approximately to 1 decimal place

S = $122.1

Therefore, the standard deviation for the given data is $122.1

Find the product.
(6a + 3b)(a - b)
Enter the correct answer.

Answers

Answer:

See below.

Step-by-step explanation:

[tex](6a+3b)(a-b)\\[/tex]

Distribute:

[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]

Answer:

6a^2-3b^2-6ba+3ba

Step-by-step explanation:

(6a+3b)(a+b)....expand the term

6axa - 6axb + 3bxa - 3b×b ....simplify

6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first

6a^2 - 3b^2 - 6ba + 3ba

Can someone help me with this

Answers

Answer:

D. [tex] \frac{{7}^{11} }{ {4}^{11} } [/tex]

Step-by-step explanation:

[tex]( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }[/tex]

Since we are multiplying an exponential number to a fraction the answer is going to be

[tex] \frac{7 {}^{11} }{4 {}^{11} } [/tex]

Hope this helps ❤❤❤ ;)

Answer:

[tex]D. \frac{7^{11} }{4^{11} } \\[/tex]

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

[tex]a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}[/tex]

Step 1

All you have to do is identify and use the formula

let

[tex](\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\[/tex]

so, the answer is D.

I hope it helps, have a nice day

PLEASE 40 POINTS AND I WILL GIVE BRAINLIESTHow many solutions does this system have? 2 x minus 3 y = 10. Negative 4 x + 6 y = negative 20. one two an infinite number no solution

Answers

Answer:

Infinite solutions

Step-by-step explanation:

2x-3y=10

-4x+6y=-20

Turn them into point-slope form.

y = 2/3x - 10/3

y = 2/3x - 10/3

They are the same equation, so they will have infinite solutions.

Answer:

infinite solutions i did the quiz and got a 100 pls give brainliest

Step-by-step explanation:

Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer this then i will give out a brainliest award to you!
Are you sure your that person?

Answers

Answer:

32 remainder 2

Step-by-step explanation:

To divide 162 by 5, we simply do the following:

5 goes into 16 => 3

Multiply 5 by 3 => 3 × 5 = 15

Subtract 15 from 16 => 16 – 15 = 1

Put the 1 before 2 => 12

5 goes into 12 => 2

Multiply 5 by 2 => 5 × 2 = 10

Subtract 10 from 12 => 12 – 10 => 2

In summary,

162 divided by 5 => 32 remainder 2

Please see attached photo for further details.

The equation of the graphed line in point-slope form and it’s equation in slope-intercept form is (-2,3)(3,0)

Answers

Answer:

y = -9/5x + 9/5

Step-by-step explanation:

From this points, we can determine the slope and the y-intercept.

First, we do:   y/x  -  y1/x1

=> 0/3 - (3 - 2)

=> 0-3/ 3 + 2

=> -3/5

So the slope of the equation is -3/5.

The equation is: y = mx + b

In this equation "m" = slope.

=>  b = constant

Now we take the x and y points from the above numbers.

=> Let's take 3 as x and 0 as y.

=> 0 = -3/5 *3 + b

=> 0 = -9/5 + b

=> Take the -9/5 to the other side

=> 9/5 = b

So, the constant number which is not multiplied by the x is 9/5

Now, our equation looks like:

y = -9/5x + 9/5

If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.

Find the area a. 530 b. 779 c. 390 d. 1060

Answers

Answer:

a. 530 ..I think.. i'm pretty sure

Step-by-step explanation:

40*26.5 is 1060

1060/2=530

area=530

a map has a scale of 1cm:11.5km.two cities are 5.5cm apart on the map.to the nearest tenth of a kilometer,what is the actual distance corresponding to the map distance?

Answers

Answer:

63.3 km

Step-by-step explanation:

All that you need to do here is to multiply 5.5 by 11.5 which equates to...

=5.5x11.5

=63.25

because the second decimal is five you have to round up so that means that the answer is 63.3km.

Hope it helped.. Tysm... Plz.. Mark me BRAINLIEST..

Answer:

[tex]\boxed{63.3 \ km}[/tex]

Step-by-step explanation:

1 cm : 11.5 km

We need the distance for 5.5 cm So,

Multiplying both sides by 5.5

1 cm      :        11.5 cm

× 5.5                ×5.5

5.5 cm  : 63.25 km

For every 5.5 cm, the actual distance is 63.25 km but to the nearest tenth, it is 63.3 km

MATH PLEASE HELP ME. WILL GIVE BRAINLIEST

Answers

Answer:

The answer is - 17

Step-by-step explanation:

g(x) = 2x³ - 3x + 5

To find g(- 2) substitute the value of - 2 into g(x)

That's

g(- 2) = 2(-2)³ - 3(-2) + 5

= 2(-8) - 3(2) + 5

= - 16 - 6 + 5

= - 17

Hope this helps you

Please answer it now in two minutes

Answers

Answer:

m∠F = 20.6°

Step-by-step explanation:

In the given right triangle ΔHGF,

∠G = 90°

By applying tangent rule in the triangle,

tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{\text{HG}}{\text{GF}}[/tex]

            = [tex]\frac{3}{8}[/tex]

            = 0.375

m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]

        = 20.556°

        = 20.6°

Therefore, measure of angle F is 20.6°

Which data set has the largest standard deviation?
O A. 12, 14, 13, 14, 12, 13, 12
O B. 1,6,3, 15, 4, 12,8
O C. 20, 21, 23, 19, 19, 20, 20
D. 3,4,3, 4, 3, 4,3
SU

Answers

Answer:

I thinks it's B.not sure...

The deviation of the mean between the sample is less in option B.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.

If the deviation of the mean between the sample is more, then the deviation will be more.

Let's check all the options.

A. 12, 14, 13, 14, 12, 13, 12

The mean is calculated as,

Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7

Mean = 12.86

B. 1,6,3, 15, 4, 12,8

The mean is calculated as,

Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7

Mean = 7

C. 20, 21, 23, 19, 19, 20, 20

The mean is calculated as,

Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7

Mean = 20.28

D. 3,4,3, 4, 3, 4, 3

The mean is calculated as,

Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7

Mean = 3.43

The deviation of the mean between the sample is less in option B.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ2

What is the measurement of angle 1?
What is the measurement of angle 2?
What is the measurement of angle 3?
What is the measurement of angle 4?
What is the measurement of angle 5?
What is the measurement of angle 67
What is the measurement of angle 7?

Answers

Answer:

Angle 1= 180 - 110 = 70 (straight angle)

Angle 2 = 180 - 115 =65 (straight angle)

Angle 3= angle 2 =65 (corresponding alternating angles)

Angle 4 =180 - angle3 = 180 - 65 = 115 (straight angle)

Angle 5 = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45 (sum of triangle angles is equal to 180)

Angle 6 = angle 5= 45 ( interior alternating angles)

Angle 7 = angle 6= 45 (vertical opposite angles)

[tex]hope \: this \: helps[/tex]

Angle 1= 180 - 110 = 70

Angle 2 = 180 - 115 =65

Angle 3= angle 2 =65

Angle 4 =180 - angle3 = 180 - 65 = 115 (straight angle)

Angle 5 = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45

Angle 6 = angle 5= 45

Angle 7 = angle 6= 45

Not to sound like the other person but yeah,these are the answers.

The equation of a line that is parallel to y = -3x + 6 and passes through the point (0, -4) please help this is an emergency I need this ASAP please!!!!

Answers

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 6 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes.

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus

y = - 3x - 4 ← equation of parallel line

when 5 more than 2 lots of a number is tripled the result is 10

Answers

Answer:

-5/6

Step-by-step explanation:

a number is x

then two lots will be 2 x

five more will be 2x+5

then tripled so 3(2x+5)

will equal 10

Answer: [tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

3(2x+5)=10

Distribute

6x+15=10

Subtract 15

6x=-5

x = -5/6

Hope it helps <3

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Which molecules are used to form cell membranes I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :)) Cheyenne Repair Shop had the following transactions during the first month of business as a proprietorship. Journalize the transactions. (If no entry is required, select "No entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when amount is entered. Do not indent manually.) Aug. 2 Invested $11,290 cash and $2,740 of equipment in the business. 7 Purchased supplies on account for $450. (Debit asset account.) 12 Performed services for clients, for which $1,303 was collected in cash and $689 was billed to the clients. 15 Paid August rent $634. 19 Counted supplies and determined that only $263 of the supplies purchased on August 7 are still on hand. Date Account Titles and Explanation Aug. 12 Always eats with an open mouth and it grosses us out.This sentence is a sentence fragment. Which sentence is the correct version?OA.Sherry always eats with an open mouth and it grosses us out.OBEating with an open mouth and grossing us out.OC.Sherry eating with an open mouth and grossing us out.ODSherry always eats with an open mouth, and it grosses us out. The closing entries show a debit to retained earnings of $350, and a credit to retained earnings of $750. There was also a credit to dividends payable of $100. This company had a: Suppose there is a bond in ABC Company that that pays coupons of 8.5%, and suppose that these coupons are paid annually.Suppose the face value of the ABC bond is $1000 and the maturity is 11 years.a) If the appropriate discount rate for this bond is 6%, what would you be willing to pay for ABCs bond?b) If a comparable company, XYZ, has a 7.0% coupon bond with a maturity of 9 years and a face value of 1000, and that bond is trading in the market for $994.50, what would you be willing to pay for ABCs bond?c) Suppose you find that the true fair value for ABC bond is $1200.00, but you see that the bond trading for $1051.00, what would you recommend? A spring balance is attached with string to the piece of aluminum in the preceding problem. What reading will the balance register when the metal is submerged Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x) =x^22x+5 Clark Company produces flash drives for computers, which it sells for $20 each. Each flash drive costs $12 of variable costs to make. During April, 1,000 drives were sold. Fixed costs for March were $2 per unit for a total of $1,000 for the month. How much is the contribution margin ratio An object starts at position 12 on a horizontal line with a reference point of O. What is the position of the object if itmoves 14 units to the left?O-26O-2O 2O 26 Find 4 1/5 7 2/3 . a. 32 1/5 b. 32 3/5 c. 28 2/15 d. 28 3/10 Please help me with this question. refer to the image first. 5. The diagram below shows three circles. Circle A has a radius of 2 cm and circle B has aradius of 1 cm.PQ is a common tangent and all circles touch one another. Find the radius of the smallestcircle. PL5 Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards? Four-thirds StartFraction 7 over 9 EndFraction StartFraction 9 over 7 EndFraction Three-fourths If political influences, independent of any economic forces, lead to a larger government budget deficit, what will be the effect on the loanable funds market Consider the Equation y > 3x + 1 (a) Find an ordered pair that satifies the equation (b) Is the equation a Releation? explain (c) Is the equation a Function? explain Magnetic field lines form closed loops:________.a) Around and through bar magnets.b) Through current-carrying loops.c) Around current-carrying straight wires.d) All of the above. Which is the best paraphrase of the text?It can be easy to get tired and sweaty when riding abike too fast. Riding a bike too slowly can also beproblematic. Be a brave cyclist!O Give in, and ride fast. Be careful about zigzagging,Don't worry when you ride a bike!O Riding fast can be exhausting, and riding slowlymay cause traffic delays. Watch out!O The best way to ride a bicycle is at high speeds, butsome like to ride extremely slowly. When you ride,you don't need to look around. when Charles eats Oreos , he likes to dunk 2 out of every 5 cookies in a cold glass of milk. if he eats a total of 15 Oreos , how many will he dunk ? how many will ge eat without dunking? The Massive Resistance speech and the Southern Manifesto are examples of -resistance to desegregation by some white Southerners.-Southern plans to desegregate the schools. -federal plans to force integration in Southern schools. For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples.) You are interested in a potential treatment for compulsive hoarding. You treat a group of 50 compulsive hoarders and compare their scores on the Hoarding Severity scale before and after the treatment. You want to see if the treatment will lead to lower hoarding scores. The design described ___________a, b, or c_________________________. a. uses a related sample - repeated measures b. uses a related sample - matched subjects c. does not use a related sample John Caccioppo was interested in possible mechanisms by which loneliness may have deterious effects of health. He compared the sleep quality of a random sample to lonely people to the sleep quality of a random sample of nonlonely people. The design described ______a, b, or c_________________________. a. does not use a related sample b. uses a related sample (repeated measures) c. uses a related sample (matched subjects)