A rectangle has an area of 104 square centimeters and a width of 8 centimeters. What is the perimeter?

13 centimeters
26 centimeters
34 centimeters
42 centimeters

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf P = 42 \ cm}[/tex]

Step-by-step explanation:

Given:Area = 104 cm²Width = 8 cmFormulas to be used:Area = Length × WidthPerimeter = 2Length + 2WidthSolution:

Finding length:

Area = Length × Width

104 = Length × 8

Divide 8 to both sides

104/8 = Length

13 cm = Length

Length = 13 cm

Finding Perimeter:

P = 2Length + 2Width

P = 2(13) + 2(8)

P = 26 + 16

P = 42 cm

[tex]\rule[225]{225}{2}[/tex]


Related Questions

if measurements are made on four different days, find the level ll such that there is probability only 0.03 that the mean glucose level of four test results falls above all for sheila's glucose level distribution. what is the value of ll?

Answers

The probability of having L greater than Shelia's mean glucose level is 0.03 for L = 144.48.

Sheila's glucose level is shown to have a normal distribution, with a mean of 128 mg/dl and a standard deviation of 8 mg/dl.

L represents the patient's blood test level.

The probability that the mean glucose level, 128 mg/dl, is greater than L is given as 0.03.

To find L,

P(128>L) = 0.03

= 1 - P(128 ≤ L) = 0.03

=P(128 ≤ L) = 0.98

We know that we can find the probability of any normal distribution by converting it to standard form and then checking the p-value.

P(X < x) = Φ[(x - μ)/σ]

μ = mean

σ = standard deviation

=Φ[(L - 128)/8] = 0.98

Therefore ,

(L - 128)/8 = 2.06

= L - 128 = 16.48

= L = 128 + 16.48

= 144.48

= L

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Find the real solution(s) of the equation. Round your answer to the nearest hundredth. 12x^4 = 78​

Answers

Answer:

x = 4√104/2

Step-by-step explanation:


A compound is made up of various elements totaling 120 ounces. If the total amount of copper in the
compound weighs 6 ounces, what percent of the compound is made up of copper?

Answers

Answer: 5%

Step-by-step explanation:

To find the percentage you put the part over the whole so in this case it would be 6/120 or 6÷120

pop that into a calculator and you get 0.05  or    [tex]\frac{5}{100}[/tex] or 5%

Hope that helps

a newsletter publisher believes that less than 46% of their readers own a rolls royce. is there sufficient evidence at the 0.01 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.

Answers

the null and alternative hypotheses for the above scenario This is a left failed test.

What is confidence interval?

In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. Although 95% is the most common confidence level, confidence intervals can also be calculated at other levels, such 90% or 99%. The confidence level is the proportion of linked CIs over the long run which really contain the true value of the parameter. The breadth of the CI may be influenced by a number of variables, including sample size, sample variability, and degree of confidence. If all other factors were same, a larger sample would lead to a narrower confidence interval. A sample with greater variability would result in a broader confidence interval and a higher level of confidence.

a newsletter publisher believes that less than 46% of their readers own a rolls Royce.

there is sufficient evidence at the 0.01 level to substantiate the publisher's claim

The null hypothesis (Mo) in this case has a P value of 0.46. P 0.46 Alternative Hypothesis (Ha) (claim)

The left test failed here.

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probability of rolling a 6 with two dice one with values 1, 2, 2, 3, 3, 4 and 1, 3, 4, 5, 6, 8

Answers

Answer:

11/12 chance of the probability of rolling a 6 with 2 dice

Please answer the question in the picture

Answers

Hope this helps you

An icicle that is 12 mm long melts at a constant rate of 1.2 mm per minute. Let t represent the number of minutes since the icicle started melthing and suppose R is a function such that R(t) represents the remaining length of the icicle (in mm) t minutes after it started melting.
A.Write a function formula for R in terms of t.
b.What is the domain of R relative to this context? Enter your answer as an interval.
c.What is the range of R relative to this context? Enter your answer as an interval.
d.What is the domain of R−1 relative to this context? Enter your answer as an interval.
e.What is the range of R−1 relative to this context? Enter your answer as an interval.
f.Solve R(t)=6.6 for t.
t= g.What does your solution in part (f) represent in this context? Select all that apply.
How long it takes for the icicle to melt completely.
How many minutes since the icicle started melting when it is 6.6 mm long.
The length of the icicle (in mm) 6.6 minutes after it started melting.

Answers

R(t)=6.6 for t, 5 minutes, the domain of R relative to this context [0, 65 ÷ 6], the range of R related to this context, the domain of R relative to this context, [0, 12], and the range of R relative to this context.

The values of variables, domain, and range:

a) 12 - 1.2t, Using the build equation.

b) Least length = 0 mm.

max time = 12 - 1.2t = 0

t = 65 ÷ 6 minutes.

domain t ∈ [0, 65 ÷ 6]

c) range, R ∈ [0, 12]

d) domain of [tex]R^{-1}[/tex] [0, 12]

e) domain of [tex]R^{-1}[/tex] [0, 65 ÷ 6]

f) 12 - 1.2t = 7

1.2t = 7

t = 5

R(t)=6.6 for t, 5 minutes.

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which answer would make the following a false statement? a function parameter ... a. is visible inside the function in which it is defined b. lives until the end of the function is reached. c. is a local variable d. cannot share a name with a variable outside of the function

Answers

The following statements make a false statement.

Given that,

A function argument  a exists until the function's end is reached.

A local variable 

can only share a name with another variable inside the function and exists only until the function's end.

Answer C : Can not share a name with variable outside a function.

Because the function is considered as a single line of code.

Answer True

They have same presidence but they are evaluated from left to right

Answer D : The calculation totals both positive (Profits) and negative (loss) earnings

Code doesn't check if the number of positive or not before adding

Answer D.

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A directional hypothesisrequires a paired t-test.tests whether error variance is smaller or larger than systematic variance.stipulates whether alpha or beta is most important.predicts which of two means will be larger.

Answers

Answer:D

Step-by-step explanation:D

true/false: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them.

Answers

The statement: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.

What is 3D to 2D projection?

A three-dimensional (3D) object is displayed on a two-dimensional (2D) surface using a 3D projection, also known as a graphic projection. In order to project a complex object for viewing capability on a simpler plane, these projections rely on visual perspective and aspect analysis.

The fundamental method is: u = x / z; v = y / z; if you're converting from world-space (x, y, z) coordinates to screen-space (u, v) coordinates. Before applying the projection matrix, transform (x, y, z) by the view matrix if the camera is not positioned at the origin.

Hence, the statement transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.

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FILL IN THE BLANK. Fill in the blank: A data analyst uses _____ to decide which data is relevant to their analysis and which data types and variables are appropriate.

Answers

Answer:

statistical methods

Step-by-step explanation:

Data analyst uses to "Database organization" to decide which data is relevant to their analysis and which data types and variables are appropriate.

What is database organization ?

A database is a structured information collection that is often kept electronically in a computer system. Typically, a database management system is in charge of managing a database (DBMS).

It is a system, frequently abbreviated to just database, is the collective term for the data, the DBMS, and the applications that are connected to it.

The most popular forms of databases, today usually describe their data in rows and columns in a collection of tables to facilitate processing and data querying.

Also the information may then be accessed, managed, changed, updated, regulated, and organized with ease. SQL is a structured query language that is used by the majority of databases to write and query data.

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Consider the quadratic equation x2 + 10x + 27 = 0. Completing the square leads to the equivalent equation (x + )2 =.

Answers

The completing the square leads to the equivalent equation of (x +5)² = -2.

Explain the term completing square?When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. This square formula is employed to factorize quadratic polynomials when we want to express a quadratic polynomial and equation as a perfect square with an additional constant.

The given quadratic equation is-

 x² + 10x = -27

Now, add a square of 1/2 of  coefficient of 'x':

x² + 10x + 5² = -27 + 5²

x² + 10x + 5² = -27 + 25

Write this equation in the form of perfect square as;

(x +5)² = -2

Thus, the completing square leads to the equivalent equation of (x +5)² = -2.

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How many solution does the equation have 3=|y+7|

Answers

This equation has two answers: -4 and -10

Shera is building a cabinet. She is making wooden braces for the corners of the cabinet. Find the surface area of each brace.

Answers

The surface area of each brace of the cabinet is 30 square inches

What is the surface area of each brace?

length = 3 inWidth = 3 inHeight = 1 in

Surface area of the first brace = 2 (lh +wh + lw )

= 2{(3×1) + (3 × 1) + (3 × 3)}

= 2(3 + 3 + 9)

= 2(15)

= 30 square inches

Surface area of the second brace = 2 (lh +wh + lw)

= 2{(3×1) + (3 × 1) + (3 × 3)}

= 2(3 + 3 + 9)

= 2(15)

= 30 square inches

Total surface area of the cabinet = Surface area of the first brace + Surface area of the second brace

= 30 square inches + 30 square inches

= 60 square inches

Consequently, the total surface area of the cabinet is 60 square inches

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need help on 11 and 12! or you can solve one instead of both if u want?

Answers

Answer:

Step-by-step explanation:

Find:
11/3÷2/3
the question is five and

Answers

Answer:11/2Step-by-step explanation:KCF (Keep Change Flip):

We keep the first number 11/3, change ÷ to ×, and flip 2/3 to 3/2:

11/3 x 3/2 = 33/6

Simplify:

33/6 ÷ 3/3 = 11/2

Solution:11/2

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

help me please and thank you:)))

Answers

Answer:

c

Step-by-step explanatio

What is the mean for this set of data? {3, 5, 8, 11, 11, 12} question 4 options:
a. 8
b. 8.33
c. 11
d. 9.5

Answers

Answer:

b. 8.33

Step-by-step explanation:

"mean" is the math word for what non-math people call average. This is where you add up all the numbers and divide by however many there are.

3+5+8+11+11+12 is 50

There are 6 numbers in the data set. So 50/6 is 8.3333...

b. 8.33 is the correct answer.

Mean means add and divide.

how to evaluate 8.1p plus 7.9r when p=6 and r=7

Answers

The value of the expression  8.1p plus 7.9r when p=6 and r=7 will be 103.9.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

An expression is a mathematical proof of the equality of two mathematical expressions.

8.1p + 7.9r = 8.1(6) + 7.9(7)

⇒ 103.9

Hence "The value of the expression  8.1p plus 7.9r when p=6 and r=7 will be 103.9".

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problem 4. a player plays a game where she is equally likely to win or lose 1 dollar. the games are independent. the player will continue playing until the first win occurs and then stop immediately after. (a) find the probability that her winnings are greater than zero. (b) find the probability that her winnings are less than zero. (c) find the expected value of her winnings.

Answers

We get

(A) The probability that her winnings will exceed zero is 0.50.

(B) The probability that her winnings will be less than zero is 0.25.

(c) Her winnings' estimated worth is 0.

Given that,

A player engages in a game where the odds of winning or losing one dollar are equal. The games are stand-alone. The game will be played until the first win occurs, at which point the player will instantly stop.

We have to find

(A) determine the probability that her winnings will exceed zero.

(B) calculate the probability that her winnings will be less than zero.

(c) calculate her winnings' estimated worth.

We know that,

a) probability that her winnings are greater than zero =P(wins 1st game) =1/2 =

b) probability that her winnings are less than zero =P(lose 1st 2 games) =(1/2)×(1/2 )=1/4 =0.25

c) below is pmf of X (gain from the game)

P(X=1)=P(win 1st game) =1/2

P(X=0)=P(lose 1st and win 2nd) =(1/2)×(1/2) =1/4

P(X=-1)=P(lose 1st two and wins 3rd)=(1/2)×(1/2)×(1/2) =1/8

P(X=-2)=1/16

therefore expected value E(X )=ΣxP(x) =1×1/2+0×1/4-1×1/8-2×1/16........

= (1/2)+0-(1×1/8+2×1/16+3×1/32+4×1/64+...)

=(1/2)-(1/4)×(1/(1/2))

=(1/2)-(1/2)

=0

Therefore,

(A) The probability that her winnings will exceed zero is 0.50.

(B) The probability that her winnings will be less than zero is 0.25.

(c) Her winnings' estimated worth is 0.

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thankss tooooo urgenttt tooo

Answers

(30%x1200)students
360 students

(15x60)teachers
9 teachers

Therefore there are 369 bilingual students and teachers altogether

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?
2
3
4
5

Answers

Answer:

it is 5 you don't add the 3 in it

the area of trapezoid $abcd$ is $60$. one base is $4$ units longer than the other, and the height of the trapezoid is $5$. find the length of the median of the trapezoid.

Answers

The length of the median of the trapezoid is 12 units.

What is trapezoid?

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides. This article provides formulas for the area of the trapezium as well as its types, attributes, and other trapezoids.

Let the parallel sides be  x and x+4

The area of a trapezium is  the average or the parallel sides multiplied by the height

Area = [(x + x+ 4)/2 ] *h

= [ (2x+4)/2] * 5

= [2(x+2)/2] * 5

Area = 5(x+2)

60 = 5(x+2)

60/5 = x+2

12 = x+2

x = 12 - 2

x = 10

The parallel sides are 10 and 14 units.

Now the median length is the average of the parallel side lengths

Length of median = (10+14)/2

Length of median = 12 units

Hence, the length of the median of the trapezoid is 12 units.

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when you hand in your test do you think you will get a higher score than you actually do? a professor collected data

Answers

After solving, the observed statistic for this study is 2.5.

In the given question, a professor collected data.

After fishing a test, the 27 students in the class wrote their pedicted scores on their tests and these were compared with the actual scores after they were graded.

The mean predicted score was 83.7. So SD = 83.7.

The mean actual score was 81.2. So SD = 15.6

the aen of the difference was 2.5. So SD = 8.6

Null: The average difference in test score (predicted-actual) is 0. μ = 0

Alternative: The average difference in test score (predicted-actual) is greater than 0. μ > 0

We have to find the observed statistic for this study.

predict mean = 83.7   S.D = 8.6

actual mean = 81.2    S.D = 15.6

n = 27

x = (predict mean - actual mean )

x = 83.7 - 81.2

x = 2.5

Hence, the observed statistic for this study is 2.5.

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The right question is given below:

Please Help Me. I am stuck on this homework assingment.

Answers

The required reasons statements to prove the congruency of the angles  the value of x, and the measures of ∠2 and ∠4 are as follows;

Problem 1

The question and the diagram indicates that ∠1 and ∠3 are vertical angles formed by two lines, therefore, ∠1 and ∠3 are both a linear pair and therefore supplementary to ∠2, indicating that m∠1 = m∠3, therefore;

∠1 ≅ ∠3

Problem 2

x = 18°m∠2 = 68°m∠3 = 68°

What are supplementary angles?

Supplementary angles are angles that have a sum of 180°

The reasons for the statements in the completed table of the two column method used to prove ∠1 ≅ ∠3 are as follows;

Statement         [tex]{}[/tex]                                      Reasons

1. ∠1 and ∠3 are vertical angles [tex]{}[/tex]       1. Given

2. ∠1 and ∠2 form a linear pair [tex]{}[/tex]        2. Definition of linear pair

∠2 and ∠3 form a linear pair

3. ∠1 and ∠2 are supplementary [tex]{}[/tex]     3. Linear pair ∠s are supplementary

∠2 and ∠3 are supplementary

4. m∠1 + m∠2 = 180°        [tex]{}[/tex]                 4. Definition of supplementary ∠s

m∠2 + m∠3 = 180°

5. m∠1 + m∠2 = m∠2 + m∠3        [tex]{}[/tex]    5. Substitution property

6. m∠1 = m∠3        [tex]{}[/tex]                            6. Subtraction property      

7. ∠1 ≅ ∠3        [tex]{}[/tex]                                  7. Definition of congruency

Problem 2

∠2 = 4·x - 4

∠4 = x + 50

∠2 and ∠4 are vertical angles, therefore;

∠2 ≅ ∠4 (Vertical angle theorem)

m∠2 = m∠4 (definition of congruency)

4·x - 4 = x + 50 (substitution property)

4·x - x = 4 + 50 = 54

3·x = 54

x = 54 ÷ 3 = 18

x = 18°

m∠2 = (4 × 18 - 4)° = 68°

m∠3 = (18 + 50)° = 68°

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Can 3,8,15 make a triangle

Answers

Answer is NO!

hope this helps! Have an amazing and blessed day! :)

Answer: yes

Step-by-step explanation:

researchers studied the behavior of birds that were searching for seeds and insects in an oregon forest. in this forest, 54% of the trees were douglas firs, 40% were ponderosa pines, and 6% were other types of trees. at a randomly selected time during the day, the researchers observed 156 red-breasted nuthatches: 70 were seen in douglas firs, 79 in ponderosa pines, and 7 in other types of trees. Do these data provide convincing evidence that nuthatches prefer particular types of trees when they're searching for seeds and insects?

Answers

Yes, the given data provide convincing evidence that the Nuthatches prefer particular types of trees while searching for seeds and insects.

A statistical hypothesis test used to examine if a variable is likely to come from a given distribution is the Chi-square goodness of fit test. It is frequently used to assess how well sampling data represents the entire population.

Given that the number of red-breasted nuthatches (n) is 156. By convention, the significance level is α=0.05.

First, let's state the null hypothesis and alternate hypothesis.

Null hypothesis H₀: Nuthatches don't prefer particular types of trees while searching for seeds and insects.

Alternate hypothesis H₁: Nuthatches prefer particular types of trees while searching for seeds and insects.

Given: p₁=54%=0.54, p₂=40%=0.40, p₃=6%=0.06

The expected frequency (E) for each probability is:

[tex]\begin{aligned}E_1&=np_{1}\\&=156\times0.54\\&=84.24\\E_2&=np_{2}\\&=156\times0.40\\&=62.4\\E_3&=np_{3}\\&=156\times0.06\\&=9.36\end{aligned}[/tex]

The observed values (O) are given as 70, 79, and 7. Calculating chi-square, we get,

[tex]\begin{aligned}\chi^{2}&=\sum\frac{(O-E)^2}{E}\\&=\frac{(70-84.24)^2}{84.24}+\frac{(79-62.4)^2}{62.4}+\frac{(7-9.36)^2}{9.36}\\&=7.4182\end{aligned}[/tex]

And the degree of freedom is given by df = n-1, where, n is the sample size. Here, the sample size is 3.

[tex]\begin{aligned}df&=n-1\\&=3-1\\&=2\end{aligned}[/tex]

Then, the P-value from the table is given by, [tex]P(\chi^{2} > 7.4182) = 0.0245[/tex].

This value is less than the significance level.  Therefore, the null hypothesis is rejected. So, an alternate hypothesis is accepted.

Therefore,  nuthatches prefer particular types of trees while searching for seeds and insects.

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In a Survey of a group of students, it was found that 35% of the student likes mathematics, 30% of student Like account and 600 student like both of them and 5%. Like none of them.​

Answers

Answer:

Explanation: The idea is to draw a Venn Diagram and find the intersection. We have one circle of 70 and another with 40. When we add the two circles plus the 10 students who joined neither, we should get 100 students.

Step-by-step explanation:

lapeer flour mills purchased new equipment and made the following expenditures: purchase price $ 64,000 sales tax 5,450 shipment of equipment 890 insurance on the equipment for the first year 590 installation of equipment 1,780

Answers

Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.

Given that,

Lapeer Flour Mills spent money on the following items in addition to buying new machinery: $64,00 in purchase price, plus sales tax 5,450 equipment shipments, 890 equipment insurance for the first year, and 590 equipment installations 1,780

We have to find the above expenditures for the new machines.

We know that,

Total cost of new machine = Purchase price + Sales tax+ Shipment of machine+ Installation of machine

= $64000+$5450+$890+$1780

= $72120

Therefore, Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.

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A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
milligrams

Answers

To compare the weight of a flea and an ant, we first need to convert the weight of the flea and the ant to the same units. Since the weight of the flea is given in decigrams and the weight of the ant is given in milligrams, we can convert the weight of the flea to milligrams by multiplying it by 10.

We can use the following equation to calculate the weight of the flea in milligrams:

weight of flea in milligrams = 8 decigrams * 10 = 80 milligrams

Once we have the weight of the flea and the ant in the same units (milligrams), we can subtract the weight of the ant from the weight of the flea to find the difference in their weights.

We can use the following equation to calculate the difference in weight between the flea and the ant:

difference in weight = weight of flea - weight of ant

difference in weight = 80 milligrams - 3 milligrams

difference in weight = 77 milligrams

Therefore, a flea weighs 77 milligrams more than an ant.

Other Questions
Kathryn invests $1000 in one account and $2200 in an account paying 3 % higher interest. At the end of one year she had earned $130 in interest. At what rates did she invest? which statement does not describe fission? a very heavy nucleus splits into several medium-weight nuclei. stable, lightweight nuclei start the process. several neutrons are emitted. a fast neutron starts the process. The parking garage at the airport has 625 parking spaces. 92% of the spaces are empty. Howmany empty spaces are there in the parking garage? Purple colored pattern results when Ninhydrin binds with.....................................within fingerprint residue which allows for fingerprint ................................ .enzymes, developmentsweat, removalamino acids, removalwater, developmentamino acids, developmentoils, developmentenzymes, removalsalts, development quizlet cpco which of the following is not a purpose of the requisition lab slip? a. ensure the physician or other authorized individual has made an independent medical necessity decision with regard to each test the organization will bill b. encourage physicians or other authorized individuals to submit the diagnosis information for all tests ordered c. capture the correct program information d. contain a statement that indicates medicare generally covers all routine screening tests A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. A 95% confidence interval for population mean is determined. If we are to reduce the sample size to 100 (other factors remain unchanged), the 95% confidence interval would:. anets job as a corporate attorney is extremely stressful. part of her stress comes from having to meet aggressive deadlines for her work. the stressors that arise from these deadlines are known as . hich of the following enhances phagocytosis of microbes by macrophages? i) the binding of antibodies to the surface of microbes ii) antibody-mediated opsonization of microbes iii) the release of cytokines by activated b cells a farmer crosses a yellow feathered hen with a red feathered rooster and observed that all their offspring have both yellow and red feathers. if the feather color is determined by both dominant gene, then what is the likely explanation for these results? how would you evaluate the courts claim that giving a gift of trading information is the same thing as trading by the tipper followed by a gift of the proceeds? tion for y: 2x + 3y = -6. Then, answer the questions that follow.formed equation, what is the slope of the linear equation 2x + 3y = -6?to find solutions to the linear equation.xLesson 17 Problem SeTransformed Linear Equation:y find the probability if two dice are rolled. (enter the value of probability in decimals. round the answer to three decimal places.) ou have the following time and cost information for use in a time-cost cpm scheduling model. activity normal time crash time normal cost crash cost a 3 2 $400 $ 600 b 5 3 $600 $ 1200 c 4 1 $300 $ 1500 what are the three costs per unit of time to expedite each activity? The _____ is the amount that was actually spent to accomplish the work that was scheduled to be performed up to that point in time.c.cumulative actual cost (CAC) griffith's experiments with s. pneumoniae were significant because they showed that traits could be transferred from one organism to another. what else did he find that was significant? see concept 16.1 (page) let $s$ be the set of the 2005 smallest positive multiples of 4, and let $t$ be the set of the 2005 smallest positive multiples of 6. how many elements are common to $s$ and $t$? (a) 166 (b) 333 (c) 500 (d) 668 (e) 1001 you are considering purchasing an annuity that would pay you $1,000 per year for 1 years. the interest rate is 5%. out of the choices below, what would be a reasonable price to pay for thatannuity? the client has been taking levofloxacin iv since admission 12 hours ago for a urinary tract infection. the nurse assesses the client's temperature at 99.8f. what is the nurse's best response? A company that makes hair-care products had 8000 people try a new shampoo. Of the 8000 people, 48 had a mild allergic reaction. What percent of the people had a mild allergic reaction? marc edelmans study of the response of rural peasants in costa rica to the economic and political upheavals caused by civil war and increased debt demonstrate what aspect of human response to the state?