What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.
x = i and x = i5
x=+ i and x
x= +115
O x=V-1 and x = = -5
x=+ -1 and x = = -5​

Answers

Answer 1

Answer:

A; The first choice.

Step-by-step explanation:

We have the equation [tex]x^4+6x^2+5=0[/tex] and we want to solve using u-substitution.

When solving by u-substitution, we essentially want to turn our equation into quadratic form.

So, let [tex]u=x^2[/tex]. We can rewrite our equation as:

[tex](x^2)^2+6(x^2)+5=0[/tex]

Substitute:

[tex]u^2+6u+5=0[/tex]

Solve. We can factor:

[tex](u+5)(u+1)=0[/tex]

Zero Product Property:

[tex]u+5=0\text{ and } u+1=0[/tex]

Solve for each case:

[tex]u=-5\text{ and } u=-1[/tex]

Substitute back u:

[tex]x^2=-5\text{ and } x^2=-1[/tex]

Take the square root of both sides for each case. Since we are taking an even root, we need plus-minus. Thus:

[tex]x=\pm\sqrt{-5}\text{ and } x=\pm\sqrt{-1}[/tex]

Simplify:

[tex]x=\pm i\sqrt{5}\text{ and } x=\pm i[/tex]

Our answer is A.


Related Questions

Please give me the answer ASAP The average of 5 numbers is 7. If one of the five numbers is removed, the average of the four remaining numbers is 6. What is the value of the number that was removed Show Your Work

Answers

Answer:

The removed number is 11.

Step-by-step explanation:

Given that the average of 5 numbers is 7. So you have to find the total values of 5 numbers :

[tex]let \: x = total \: values[/tex]

[tex] \frac{x}{5} = 7[/tex]

[tex]x = 7 \times 5[/tex]

[tex]x = 35[/tex]

Assuming that the total values of 5 numbers is 35. Next, we have to find the removed number :

[tex]let \: y = removed \: number[/tex]

[tex] \frac{35 - y}{4} = 6[/tex]

[tex]35 - y = 6 \times 4[/tex]

[tex]35 - y = 24[/tex]

[tex]35 - 24 = y[/tex]

[tex]y = 11[/tex]

Okay, let's slightly generalize this

Average of [tex]n[/tex] numbers is [tex]a[/tex]

and then [tex]r[/tex] numbers are removed, and you're asked to find the sum of these [tex]r[/tex] numbers.

Solution:

If average of [tex]n[/tex] numbers is [tex]a[/tex] then the sum of all these numbers is [tex]n\cdot a[/tex]

Now we remove [tex]r[/tex] numbers, so we're left with [tex](n-r)[/tex] numbers. and their. average will be [tex]{\text{sum of these } (n-r) \text{ numbers} \over (n-r)}[/tex] let's call this new average [tex] a^{\prime}[/tex]

For simplicity, say, sum of these [tex]r[/tex] numbers, which are removed is denoted by [tex]x[/tex] .

so the new average is [tex]\frac{\text{Sum of } n \text{ numbers} - x}{n-r}=a^{\prime}[/tex]

or, [tex] \frac{n\cdot a -x}{n-r}=a^{\prime}[/tex]

Simplify the equation, and solve for [tex]x[/tex] to get,

[tex] x= n\cdot a -a^{\prime}(n-r)=n(a-a^{\prime})+ra^{\prime}[/tex]

Hope you understand it :)

PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE

Answers

Answer:

10/1 +54/-6

Step-by-step explanation:

Is this the answer?

I don’t think this is the right answer but I might believe it so:
And then subtract 10-9 which is 1
So 1 is your final answer.

Solving a word problem with three unknowns using a linear...
Rachel, Trey, and Deshaun sent a total of 98 text messages during the weekend. Trey sent 4 times as many messages as Deshaun. Rachel sent 10 fewer
messages than Deshaun. How many messages did they each send?
Number of text messages Rachel sent:
221
Х
?

Answers

Answer:If Rachel texted 221 text messages, then Deshaun texted 231 text messages, and Trey texted 924 text messages.

Step-by-step explanation:

221+10=231, 321 times 4 equal 924

perform the following division (-2/3) ÷ (4/7)

Answers

Answer:

-7/6

Step-by-step explanation:

-2/3 x 7/4 = -14/12 = -7/6

Answer: -7/6

Step-by-step explanation: (-2/3) ÷ (4/7) can be rewritten as (-2/3) · (7/4).

Remember that dividing by a fraction is the same thing

as multiplying by the reciprocal of the fraction.

Before multiplying however, notice that we

can cross-cancel the 2 and 4 to 1 and 2.

So multiplying across the numerators and denominator and

remembering our negative in the first fraction, we have -7/6.

Find the Value of X 1. Solve for X algebraically. 2. Using complete sentences, describe your method for finding X.

Answers

1. X=40
2. The value of 75 degrees and 50 degrees must be the same as 85 degrees and x (40) degrees. Adding up 75 and 50 equals 125 degrees, so if you subtract 85 degrees from 125, you get 40 degrees.

The value of x using complete sentences is 40 degrees.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees. A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

The measure of angles 75,50 and 85

Now,

In triangle 1

50+75+y=180

y=180-125

y=55

In triangle 2

55+85+x=180

140+x=180

x=40

Therefore, by angle sum properties of triangle answer will be 40 degrees.

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ3

Find the distance of the translation.


Round your answer to the nearest hundredth.

Answers

where is the translation

Carol owns a BBQ company that sells brisket for $11.75 per pound (after it is smoked for 10 hours). She buys the brisket for an AP$ of $4.72 per pound and they weigh 10.4 lbs each. Once they are done smoking, they weigh 6.24 lbs each.




What is the yield % of the briskets after Carol is done smoking them?

Answers

Answer: 60%

Step-by-step explanation:

Given, AP$ of Brisket = $4.72

Weight of each brisket on purchase : 10.4 lbs

Weight of each brisket after smoking : 6.24 lbs

Yield % of the briskets after Carol is done smoking them=[tex]\dfrac{\text{Weight after smoking}}{\text{Weight on purchase}}[/tex]

[tex]\dfrac{6.24}{10.4}\times100\\\\=60\%[/tex]

Hence, the yield % of the briskets after Carol is done smoking them = 60%

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.2 grams with a standard deviation of 0.18 grams. Enter your responses as a decimal with 4 decimal places. (a) What is the probability that a randomly chosen mouse has a mass of less than 19.99 grams?

Answers

Answer:

12.1%

Step-by-step explanation:

Given that:

Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means  that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

a) For x < 19.99 g:

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{19.99-20.2}{0.18} \\\\z=-1.17[/tex]

From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%

The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%

what is the least number to be added to 1500 to make it a perfect square? ​

Answers

Answer:

21

Step-by-step explanation:

√1500 = 38.7

Round to nearest whole number

≈39

39²-1500

= 1521 - 1500

= 21

Find the probability that when a couple has four ​children, at least one of them is a boy. ​(Assume that boys and girls are equally​ likely.)

Answers

Answer:

The probability that at least, one of the four children the couple has is a boy is 0.8.

Step-by-step explanation:

Given that boys and girls are equally likely, we want to find the probability of having at least, one boy, from four children..

Note that it is possible to have the following for 4 children:

1. 4 boys, 0 girls

2. 3 boys, 1 girl

3. 2 boys, 2 girls

4. 1 boy, 3 girls

5. 0 boys, 4 girls.

To have at least, one boy, out of the 5 options, only 4 is possible.

1. 4 boys, 0 girls.........YES

2. 3 boys, 1 girl ...........YES

3. 2 boys, 2 girls.........YES

4. 1 boy, 3 girls.............YES

5. 0 boys, 4 girls..........NO

The probability is therefore,

(Probability of event = 4) ÷ (Total possible outcome = 5)

P = 4/5 = 0.8

i will give brainliest and 5 stars if you help ASAP​

Answers

Answer:

BC = 13.4

Step-by-step explanation:

its a law of cosines S-A-S

a² = b² + c² - 2bc cosA

a² = 12.6² + 4.6² - ( 2 * 12.6 * 4.6 * cos 90 )

a² = 179.92

a = sqrt (179.92)

a = 13.4

WILL GIVE BRAINILY 5 STARS AND THANKS FOR CORRECT ANSWER ITS PRETTY EASY If it is 3:00 p.m. and you move the minute hand of the clock 270 degrees clockwise, what time will it be?

Answers

Answer:

3:45 pm

Step-by-step explanation:

Every 90 degree = 15 minutes

270 degrees = 15 x 3 = 45 minutes

3:00 + 0:45 = 3:45 pm

Hope this helps!

Answer:

3:45 pm

Step-by-step explanation:

∆T = (270/360)° × 60 minutes

=45 mins

Time = 3hrs + 45 mins

3:45 pm

1 - Dada a função f(x)= -Ix²-5x+4I, determine o valor de função para x = -1. * 1 ponto a) -10 b) 10 c) 9 d) -9 e) -8

Answers

Option a) -10

[tex] f(x)=-|x^2-5x+4|[/tex]

put $x=-1$

$f(-1)=-|(-1)^2-5(-1)+4|$

$\implies f(-1)=-|1+5+4|=-|10|=10$

Answer:

option a

Step-by-step explanation:

Option a) -10

put $x=-1$

$f(-1)=-|(-1)^2-5(-1)+4|$

$\implies f(-1)=-|1+5+4|=-|10|=10$

please Factor 12n - 18.

Answers

Answer:

[tex]\large \boxed{6(2n-3)}[/tex]

Step-by-step explanation:

[tex]12n-18[/tex]

Factor out 6 from each term.

[tex]6(2n)+6(-3)[/tex]

Take 6 as a common factor.

[tex]6(2n-3)[/tex]

Answer:

[tex] \boxed{3(4n - 6)}[/tex]

Step-by-step explanation:

[tex] \mathsf{12n - 18}[/tex]

In such expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor

Factor out 3 from the expression

[tex] \mathsf{ = 3(4n - 6)}[/tex]

Hope I helped!

Best regards!

the sum of two numbers is twenty-four. The second number is equal to twice the first number.

Answers

Is this the only information u have?

Answer:

The two numbers are: 8 and 16.

Step-by-step explanation:

Let the two unknown numbers be a and b.

The sum of the two number is 24. In other words:

[tex]a+b=24[/tex]

The second number is equal to twice the first number. In other words:

[tex]a=2b[/tex]

This is a system of equations. Solve by substitution:

[tex]a+b=24\\a=2b\\\\2b+b=24\\3b=24\\b=8\\a=2b\\a=2(8)=16[/tex]

Which is greater 9/20 or 60%

Answers

Answer:

60%

Step-by-step explanation:

9/20 is 45%

Answer:

60 %

Step-by-step explanation: If you divide 9/20, it equals to 0.45, makes it 45% and the number 45 in general is smaller than 60. Thus, 60% is greater than 9/20. I hope this helps.

Rewrite to make true: The sequence 8,8,8,8,8, ... is neither arithmetic or geometric.

Answers

Answer:

8,8,-8,-8,8, ... is neither arithmetic nor geometric

Step-by-step explanation:

8,8,-8,-8,8, ...

This sequence is neither arithmetic nor geometric

We could also write

8,8,8,8,8, ... this is geometric since we multiply by 1 each time

A 2-column table with 9 rows. The first column is labeled year with entries 1970, 1975, 1980, 1985, 1990, 1995, 2000, 2005, 2010. The second column is labeled pounds of trash with entries 3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44. The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use the statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth. Median = Mean =

Answers

Answer:

Median: 4.44

Mean: 4.11

On edge

Step-by-step explanation:

The mean and median of the data is

Mean ≈ 4.1 pounds

Median = 4.44

How to find mean and median of a data?

The ratio of the total number of observations to the sum of the observations is known as the mean.

The median is a value for an ordered data collection that has the same amount of observations on its left and right (in either ascending or descending order).

We have the following data:

3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44

So, Mean of the data is

= sum/number of observations

= (3.25 + 3.25 + 3.66 + 3.83 + 4.57 + 4.52 + 4.74 + 4.69 + 4.44) / 9

= 36.95 / 9

= 4.10555

Now, Arranging the data in ascending order gives

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

Here mid value is the 5th value from both end.

Thus, median of the data set = 4.44

Learn more about mean and median here:

brainly.com/question/16118626

#SPJ6

please help !! Solve –2.5x ≤ 25

Answers

Answer:

x ≥-10

Step-by-step explanation:

–2.5x ≤ 25

Divide each side by -2.5, remembering to flip the inequality

–2.5x/-2.5 ≥ 25 /-2.5

x ≥-10

Answer:

[tex]x\leq -10[/tex]

Step-by-step explanation:

[tex]-2.5x\leq 25[/tex]-----> Multiply by -1:

[tex]2.5x\geq -25[/tex]-----> Divide by 2.5:

[tex]x\geq -10[/tex]

Hope this helps!

If P is the midpoint of XY, XP = 8x - 2 and PY = 12x - 30, find the
value of x.

Answers

Answer:

x=7

Step-by-step explanation:

If P is the midpoint of XY, then XP = PY:

8x - 2 = 12x - 3012x -8x = 30 -24x = 28x= 28/4x= 7

Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
On a coordinate plane, a line goes through points (0, 2) and (4, 0).
On a coordinate plane, a line goes through points (0, 2) and (2, 3).
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).

Answers

Answer:

f(x)=1/2x+2

Step-by-step explanation:

Using formula y=mx+b.

m is 0.5 or 1/2 as stated above

f(x)= 1/2x+b

If it were y=1/2x, it would intersect at 0,0 and we want 0,2

so b should be 2

therefore

Y=1/2x+2

or

f(x)=1/2x+2

Answer:

D

Step-by-step explanation:

check to see whether 5 is a solution: 10 + 7g < 44

Answers

Answer:

Not a solution

Step-by-step explanation:

We want to check and see if 5 is a solution to the inequality. Therefore, we must substitute 5 into the inequality.

[tex]10+7g < 44[/tex]

Plug 5 in for g.

[tex]g=5[/tex]

[tex]10+7(5) < 44\\[/tex]

First, multiply 5 and 7.

[tex]10 + (7*5) < 44[/tex]

[tex]10 + 35 < 44[/tex]

Next, add 10 and 35.

[tex](10+35) < 44[/tex]

[tex]45 < 44[/tex]

This statement is not true. 45 is not less than 44. Therefore, 5 is not a solution.

Answer:

it is not a solution

Step-by-step explanation:

By replacing the letter g with a 5 the answer would be 45<44 which is not true

Is the constant of proportionality in gallons per minute the same for every row? What does this say about the relationship of the amount of water to time?

Answers

Answer:

Yes, the constant of proportionality is the same for the three rows.

The relationship between amount of water (W) in terms of time (t) can be written as:

W = 16.5 t

Step-by-step explanation:

To find the constant of proportionality, find the number of gallons per minute for each row:

First row: 16.5 gal in 1 minute means: 16.5 Gal/min

Second row: 24.75 gallons in 1.5 minutes means 24.75/1.5 = 16.6 Gal/min (same proportionality as above)

Third row: 33 gallons in 2 minutes means: 33/2 = 16.5 Gal/min (again same proportionality)

Then: Yes, the constant of proportionality is the same for the three rows.

Therefore the amount (W) of water in gallons per time (t) in minutes can be written as the product of 16.5 times time (t):

W = 16.5 t

Answer:

The numbers prove that there is a proportional relationship between the gallons of water and the time in minutes. The bathtub fills at a constant rate.

Step-by-step explanation:

What is the solution of the linear equation? LaTeX: 5k\:+\:3.8\:=\:3k\:+\:95 k + 3.8 = 3 k + 9 Group of answer choices 26 6.4 .065 2.6

Answers

Answer:

[tex]k = 2.6[/tex]

Step-by-step explanation:

Given

[tex]5k + 3.8 = 3k + 9[/tex]

Required

Solve

[tex]5k + 3.8 = 3k + 9[/tex]

Collect like terms

[tex]5k -3k+ 3.8 = 3k -3k + 9[/tex]

[tex]2k+ 3.8 = 9[/tex]

Subtract 3.8 from both sides

[tex]2k+ 3.8 - 3.8= 9 - 3.8[/tex]

[tex]2k= 9 - 3.8[/tex]

[tex]2k = 5.2[/tex]

Divide through by 2

[tex]k = 5.2/2[/tex]

[tex]k = 2.6[/tex]

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj. Identify the form.

[(P ≡ T) • (H • N)] ⊃ (T ⊃ ~S)
(T ⊃ ~S) ⊃ [(H ∨ E) ∨ R]
[(P ≡ T) • (H • N)] ⊃ [(H ∨ E) ∨ R]

a. MP
b. DS
c. MT
d. Conj
e. HS

Answers

Answer:

e. HS

Step-by-step explanation:

The argument:

[(P ≡ T) • (H • N)] ⊃ (T ⊃ ~S)

(T ⊃ ~S) ⊃ [(H ∨ E) ∨ R]

[(P ≡ T) • (H • N)] ⊃ [(H ∨ E) ∨ R]

is an instance of one of hypothetical syllogism (HS).

Hypothetical syllogism contains conditional statements for its premises.

Let

p = [(P ≡ T) • (H • N)]

q = (T ⊃ ~S)

r = [(H ∨ E) ∨ R]

The this can be interpreted as:

p ⊃ q

q ⊃ r

p ⊃ r

This interprets that:

If p then q

but if q then r

therefore if p then r

Thus, in logic HS is a valid argument form:

p → q

q → r

∴ p → r

Note that ⊃ symbol is used to symbolize implication relationships. This is used in conditional statements which are represented in the if...then... form.  For example p ⊃ q means: if p then q. So the type of Hypothetical syllogism used in this is conditional syllogism.

There are three parts of syllogism:

major premise

minor premise

conclusion

An example is:

If ABC is hardworking, then ABC will go to a good college.  

Major premise: ABC is hardworking.

Minor premise: Because ABC is hardworking , ABC will score well.

Conclusion: ABC will go to a good college.

Example of Hypothetical syllogism:

If AB is a CD, then EF is a GH

if WX is a YZ, then AB is a CD

therefore if WX is a YZ, then EF is a GH

This can be understood with the help of an example:

If you study the topic, then you will understand the topic.  

If you understand the topic, then you will pass the quiz.

Therefore, if you study the topic, then you will pass the quiz.

4x + 1 -5x =2x +4(x-5)

Answers

Answer:

x = 3

Step-by-step explanation:

To answer for x first distribute the 4 in the parenthesis

4x + 1 - 5x = 2x +4x - 20

Next add or subtract the x's

-x + 1 = 6x - 20

Now subtract 6x and 1 on both sides to get x on the left and the rest on the right

-7x = -21

Lastly, divide -7 on both sides

x = 3

Exact Form:
x
=
20
7
x
=
20
7
Decimal Form:
x
=
2.
¯¯¯¯¯¯¯¯¯¯¯¯
857142
x
=
Mixed Number Form:
x
=
2
6
7

The data given below consists of the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12. Find the z-score corresponding to the median of school allergies. You may use your calculator to find the mean and standard deviation.

Answers

Answer:

z -score = 0.0459

Step-by-step explanation:

Given that:

the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12.

The objective is to find the z- score , but before we can do that , we need to determine the mean and the standard deviation of the sample.

Mean = sum of the sample/ total number of the sample

Mean = (3+9+ 5+ 5+ 14+ 10+ 5+ 11+ 9+ 6+ 1+ 8+ 10+ 7+ 9+13+ 18+ 9+ 8+11+ 9+ 7+ 6+ 14+ 12)/25

Mean = 219/25

Mean = 8.76

Standard deviation = [tex]\sqrt{\dfrac {\sum (x_i - \mu)^2}{N}}[/tex]

Mean (in order )= 1, 3,5,5,5,6,6,7,7,8,8,9,9,9,9,9,10,10,11,11,12,13,14,14,18)

Standard deviation = [tex]\sqrt{\dfrac { (8.76 - 1)^2}{25} + \dfrac { (8.76 - 3)^2}{25} +\dfrac { (8.76 - 5)^2}{25} +...+ \dfrac { (8.76 - 18)^2}{25} }[/tex]

Standard deviation = 5.2174

The standard z score formula is:

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

where X = median (13th observation ) = 9

[tex]z = \dfrac{9- 8.76}{5.2174}[/tex]

[tex]z = \dfrac{0.24}{5.2174}[/tex]

z -score = 0.0459

1
1
A baseball weighs approximately
3
pound. A golf ball weighs about pound.
10
What expression can be used to find the combined weight of a baseball and a golf ball?​

Answers

Answer:

6 pounds 10 ounces

Step-by-step explanation:

I take this to mean "a baseball weighs approximately 3 pounds and a golf ball three pounds ten ounces."

Adding these two weights together, we get 6 pounds 10 ounces.

Find an equation in slope-intercept form of the line that has slope –9 and passes through point A(-9,-1)

Answers

Answer:

y = -9x - 82

Step-by-step explanation:

Line with slope m=-9 passing through A(x1, y1) =A(-9,-1)

y-y1 = m(x-x1)

Substitute values

y-(-1) = -9(x-(-9)

y+1 = -9x -81

y = -9x - 82

The blue dot is at what value on the number line?

Answers

Answer:

-19

Step-by-step explanation:

By looking at the 2 numbers provided, -10 and -4, you can work out that there is a gap of 6 numbers as(-4) - (-10) = 6

There are 2 intervals between -10 and -4, so each interval is

6/2 = 3

a gap of 3

This means the number to the left of -4 is -7, then -10 which works.

From there, you count how many intervals there is between -10 and the ?

There are 3 intervals, so you have to decrease -10 by -3x3 or -9

Therefore the ? is -19

Another way is to just count it directly

The number directly left of -10 is going to be -13, then -16 and finally -19

Other Questions
Given quadrilateral MATH is similar to quadrilateral ROKS calculate the value of MH Picture is below 1) Dada a funo, em reais, definida por f(x)=3.x-5. calcule : a) f(2)= b) f(-1)= PLEASE HELP ME!! Which sentence uses the word tantalizing correctly? A The tantalizing treat made the hamster very excited. B The hamster ran around until he was tantalizing. Given that 4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f(x)=x42x3+x232x240 please answer the question below How many g of amino acids are in a 2,000mL total parenteral nutrition of 4.25% travesol (amino acids and 20%dextrose? A service that might appear to be a single server to external clients, but actually represents many servers living behind it, is known as a Pauley Company needs to determine a markup for a new product. Pauley expects to sell 15,000 units and wants a target profit of $22 per unit. Additional information is as follows:Variable product cost per unit $19Variable administrative cost per unit 11Total fixed overhead 13,500Total fixed administrative 21,000Using the variable cost method, what markup percentage to variable cost should be used? Gamal is buying ham and turkey to make sandwiches for a party. At most, he can spend $50, and he must buy more than 8 pounds of meat to make enough sandwiches. The ham costs $6 per pound, and the turkey costs $7 per pound. He writes the system of inequalities shown to model h, the number of pounds of ham, and t, the number of pounds of turkey, he can buy.Inequality 1: h + t > 8 Inequality 2: 6h + 7t 50Which inequality did Gamal write incorrectly, and how can it be corrected?Inequality 1 is incorrect; it should be h + t 8.Inequality 1 is incorrect; it should be h + t > 50.Inequality 2 is incorrect; it should be 6h + 7t 8.Inequality 2 is incorrect; it should be 6h + 7t 50. What is the relationship between DNA mutation and sickle-cell anemia? (1 point)O Sickle-cell anemia and DNA mutations are correlated without any causal relationship.O Sickle-cell anemia causes a DNA mutation.O A DNA mutation causes sickle-cell anemia.O A DNA mutation is correlated with but does not cause sickle-cell anemia. BRAINLIEST IF CORRECT!!! and 15 points solve for z -cz + 6z = tz + 83 A proposed cost-saving device has an installed cost of $790,000. The device will be used in a five-year project but is classified as three-year MACRS property for tax purposes. The required initial net working capital investment is $77,000, the tax rate is 21 percent, and the project discount rate is 10 percent. The device has an estimated Year 5 salvage value of $118,000. What level of pretax cost savings do we require for this project to be profitable? a body weighs 100newtons and 80newtons when submerged in water.calculate the upthrust action on the body Arrange the following substances in the order of increasing entropy at 25C. HF(g), NaF(s), SiF 4(g), SiH 4(g), Al(s) lowest highest The population of a town increases 10% every 3 years if the present population is 72600 calculate its population after 6 years and 6 years ago What 5 questions do we have to ask ourselves when evaluating a country's government? Easton Co. deposits all cash receipts on the day they are received and makes all cash payments by check. At the close of business on June 30, its Cash account shows a debit balance of $61,709. Easton's June bank statement shows $59,549 on deposit in the bank. Determine the adjusted cash balance using the following information: Deposit in transit $ 4,250 Outstanding checks $ 2,075 Check printing fee, not yet recorded by company $ 18 Interest earned on account, not yet recorded by the company $ 33 Find the volume. Show work plz A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis? Can a person break a wall with a punch?(I mean technically,maybe with inhuman speed)