Use the Distributive Property to write an expression equivalent to 0.4(-5-7y-13.8).​

Answers

Answer 1

Answer:

-2.8y-7.52

Step-by-step explanation:

multiply 0.4 by each of the numbers in the parentheses then simplify

Answer 2

Answer: -2.8y-7.52

Step-by-step explanation:


Related Questions

tasmanian automobile licence plates consist of three capital letters (a through z) followed by three digits (0 through 9). how many different tasmanian license plates are possible?

Answers

tasmanian license plates are 8,000,000 combinations possible

In probability, what do combination and permutation mean?

Combinations and permutations may appear to be synonyms. However, they are defined differently in probability theory. Combinations: The sequence of results is irrelevant. Permutations: The sequence of events matters.

If an event is made up of numerous other events (i.e., when it is a list), we may calculate the probability that it will occur with the help of permutations and combinations. If the sequence of the events doesn't matter, we have a combination; if it does, we have a permutation. A permutation can be defined as an ordered combination.

An ordered combination is what is meant by a permutation.

The number of permutations of n objects, taken r at a time, is calculated using the formula below:

P(n,r)=n!(n-r)!

The following formula calculates the number of combinations of n objects taken r at a time: C(n,r)=n!/(n-r)!r!

there are 26^3 combinations of letters. And 10^3 combinations of numbers.

So the total combinations is 26^3 x 10^3 = 17,576,000

Many license plates don’t allow vowels a,e,i,o,u,and y which would accidentally form some awkward words…

Then you’d have 20^3 x 10^3 = 8,000,000 combinations.

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Which criteria for triangle congruence allows you to immediately conclude that the triangles.

Answers

We may determine that the triangles are congruent based on the (B) HL criterion right away.

What are HL criteria?

According to the HL Postulate, a right triangle's hypotenuse and leg are congruent if they are also congruent with the hypotenuse and leg of another right triangle.

So, we can see from the accompanying figure that these two triangles share a center line that is parallel to the base.

The two triangles are therefore right-angled triangles.

The hypotenuse of two triangles being congruent is then mentioned as a further argument.

Triangle congruence according to the HL criterion allows for a quick determination of congruence.

Therefore, we may determine that the triangles are congruent based on the (B) HL criterion right away.

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Complete question:
Which criteria for triangle congruence allows you to immediately conclude that the triangles are congruent without any extra steps?

A) SAS

B) HL

C) AAS

D) none

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?

Answers

0.6% of the people had a mild allergic​ reaction

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A company that makes​ hair-care products had 8000 people try a new shampoo.

In the 8000 people, 48 had a mild allergic reaction.

We need to find the percent of the people had a mild allergic​ reaction

We have to find what is 48 percent in 8000.

x×8000=48

Divide both sides by 8000

x=48/8000

x=0.006

Now we need to multiply by 100 as it is a hundredth part.

0.006×100

0.6

Hence, 0.6% of the people had a mild allergic​ reaction

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The parking garage at the airport has 625 parking spaces. 92% of the spaces are empty. How
many empty spaces are there in the parking garage?

Answers

Answer:

575 empty spaces

Step-by-step explanation:

If 625 --> 100% then

    X   --> 92%

X= (625 * 92)/100

X= 575

The formula A=6V^2/3 related the surface Area ‘A’, in square units, of a cube to the volume ‘V’, in cubic units. What is the volume, in cubic inches, of a cube with surface area of 396.

Answers

536.2  cubic inches  is the volume of a cube with surface area of 396.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given,

[tex]A=6V^{\frac{2}{3}}[/tex]

A is surface Area ‘A’, in square units, of a cube

V is  volume of cube in cubic units.

We need to find the volume, in cubic inches, of a cube with surface area of 396.

A=396

We need to find V

[tex]V^{\frac{2}{3} } =A/6[/tex]

=396/6

=66

[tex]V=66^{\frac{3}{2} }[/tex]

V=536.2  cubic inches

Hence, 536.2  cubic inches  is the volume of a cube with surface area of 396.

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Find an equation that is perpendicular to 4x+3y=12

Answers

Answer:

Step-by-step explanation

x=2

Mercury orbits the Sun 3 times in 264 days.

a. How many times does Mercury orbit the Sun in 440 days?

Mercury orbits the Sun__________ times in 440 days.

Question 2
b. How many days does it take Mercury to orbit the Sun 8 times?
It takes Mercury_________ days to orbit the Sun 8 times.

Answers

Answer:

a. 15 days

b. 704 days

Step-by-step explanation:

a.264+88+88=440

b.It takes mercury 264 days to orbit the sun 3 times which means all you have to do is

264+264=528+264=792-88=704

3 + 3 = 6 + 3 = 9- 1 = 8

1. Claude can do 120 jumping jacks in 2 minutes.
Write an equation to represent how many jumping
jacks Claude can complete in 5 minutes.

Answers

(120/2)(5). 120/2=60, 60x5 = 300 jumping jacks in 5 minutes

Please help me solve

Answers

Answer:2sin(x)

Step-by-step explanation:.

Answer: D.

Step-by-step explanation:

suppose that the mean weight of king penguins found in an anarctic colony last year was 15.4 kilograms and the standard deviation was 2.5 kilograms. you want to test the null hypothesis that the mean penguin weight this year does not differ from last year. assume that the standard deviation has not changed. you are planning to measure a random sample of 100 penguins. at 10% significance level, find the critical values for the test.

Answers

we are 90% confident that the mean penguin height lies in the range:

14.99 and 15.81

A popular deviation (or σ) is a degree of the way dispersed the facts is on the subject of the imply. Low popular deviation way facts are clustered across the imply, and excessive popular deviation shows facts are greater unfold out. What is the usual deviation example? Consider the facts set: 2, 1, 3, 2, four.

The imply and the sum of squares of deviations of the observations from the imply could be 2.four and 5.2, respectively. Thus, the usual deviation could be √(5.2/5) = 1.01. Standard deviation tells you ways unfold out the facts is. It is a degree of the way some distance every determined fee is from the imply. In any distribution, approximately 95% of values could be inside 2 popular deviations of the imply.

Given sample  mean=x=15.4 kg

sample standard deviation=s=2.5 kg

sample size=n=100 penguins

z multiplier for 90 CI is 1.645

90% CI for population mean is given by:

[tex]X+Z_{\frac{\alpha }{2} } * \frac{Z}{\sqrt[]{N} }[/tex]

15.4 (±)1.645(2.5)/sqrt(100)

15.4(±)1.645(2.5)/10

15.4  (±)  0.41125

15.4-.41125<μ<15.4+.41125

14.98875<μ<15.81125

we  are 90% confident that the mean penguin height lies in the range

14.99 and 15.81

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The annual cost C (in thousands of dollars) and revenue R (in thousands of dollars) for a company each

year from 2010 through 2016 can be approximated by the models = 254 − 9 + 1. 12 and = 341 +

3. 2 where t is the year.

Write a function P that represents the annual profit of the company.

(Profit = Revenue − Cost)

Answers

A function P is provided that represents the company's annual profit: P = (1.1)t² - (12.2)t + 87 .

Describe the term Function?Function: A relationship between two variables, one of which is dependent on the other and the other of which is independent, is represented by an expression.The overall cost incurred by a business (or organization) for one employee over the course of a year is known as the annual cost.

We provided Cost C. ( in thousand of dollar)

And a company's revenue R (in thousands of dollars).

C is the cost function.

C = 254 - 9t + (1.1)t²Revenue function R = 341 - 3.2t where t time in year .

The value t = 9 is 9 years.

If P is the Annual profit. Then,

Profit = Revenue − Cost

P = R - C

P = 341 - (3.2)t - 254 - 9t + (1.1)t²

= (1.1)t² - (12.2)t + 87

Thus, a function P is provided that represents the company's annual profit: P = (1.1)t² - (12.2)t + 87 .

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Complete Question:

The annual cost C in thousands of dollars and revenue R in thousands of dollars for a company each year from 2010 through 2016 can be approximated by the models C = 254 − 9t + 1.1t2 and R = 341 + 3.2t where t is the year, with t = 10 corresponding to 2010.

(a) Write a function P that represents the annual profit of the company.

length
Quantity
amount of substance
luminous intensity
US Customary Units
inch (in), foot (ft), yard (yd), mile (mi)
ounce (oz), pound (lb), ton (tn)
fluid ounce (fl oz), pint (pt), quart (qt),
gallon (gal)
second (sec), minute (min), hour (hr)
degrees Fahrenheit ("F)
SI Units
kilometer (km), meter (m), centimeter
(cm), millimeter (mm)
second (s)
Kelvin (K)
kilogram (kg), gram (g), milligram (mg)
ampere (A). milliampere (mA)
mole (mol)
candela (cd)

Answers

Answer:

Step-by-step explanation:

All units of a physical measure are linked via a conversion factor. On this web page for every unit you can find the conversion factor compared to the base unit (SI unit).

To do a conversion (or equivalent) you must multiply the value to be converted by the conversion factor of the start unit and then divide the result by the conversion factor of the destination unit.

For example, we want to know how many centimeters equals 12 yards?

# convert the units in meters (which is the SI base unit for the lengths)

# 1 yard = 0.9144 meters

# 1 centimeters = 0.01 meters

# derive the conversion factor between the yard and centimeters by dividing the factors found

# 0.9144/0.01 = 91.44

# 1 yd = 91.44 cm

# now we multiply the amount to be converted by the conversion factor found

# 12 * 91.44 = 1097.28

# result: 12 yd equals 1097.28 cm

Unit conversion tool implements this simple algorithm.

explain how the is related to the standard error of the estimated difference in average birth weight for smoking and nonsmoking mothers.

Answers

Nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

What is birth weight?

The body weight of a newborn is referred to as birth weight. Infants of European descent typically weigh between 2.5 and 4.5 kilogrammes at birth, with an average of 3.5 kilograms. South Asian and Chinese babies weigh about 3.26 kilogrammes on average.

Babies born to nonsmokers typically weighed between 1,000 and 5,000 grammes. Babies born to smokers often ranged in weight from 500 to 4500 grammes.

However, we also notice some significant variations between the two groups' normal ranges of birth weights. With fewer infants in the lower weight ranges, nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.

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Use the unit fraction 1/5 to represent the space between the tick marks on the number line. Write an expression involving subtraction that is being modeled. Then find the difference.

Answers

Yes it would not work because of the difference in the number

there are 38 different time periods during which classes at a university can be scheduled. if there are 677 different classes, what is the minimum number of different rooms that will be needed?

Answers

The minimum number of different rooms that will be needed = 18

We know that the Pigeonhole Principle states that if N objects are placed into k boxes, then at least one box contains at least N/k objects.

In this question, we have been given there are 38 different time periods during which classes at a university can be scheduled.

if there are 677 different classes, we need to find the minimum number of different rooms that will be needed.

There exists a time period will have at least 677/38 = 18 classes during

it.

Therefore, 18 different rooms will be needed.

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Please help asap now !!!!!

Answers

Answer:

220.25

Step-by-step explanation:

881 divided by 4 is 220.25

mary has 16 forks and 12 knives to place in silverware holders at the fast food restaurant where she works. she wants to distribute them equally, with no forks or knives left over. what is the greatest number of silverware holders mary can stock?

Answers

The greatest number of silverware holders Mary can stock is 4, each containing 4 forks and 3 knives so that no fork or knife is left over and are distributed equally.

What is distribution?

When a quantity is to be distributed equally into a certain number of groups, we divide the quantity by the number of groups.

Equating number of silverware stocks :

Given: 16 Forks and 12 knives

To find: number of silverware stocks = ?

As we know that the knives and forks should be distributed equally in each silverware holder, 4 forks and 3 knives will go into each of the silverware holder.

Now, we need number of silverware holders each having same number of forks and knives.  

4 forks×4 = 16

3 knives× 4  = 12

∴ Number of silverware holders Mary requires to distribute knives and forks equally with no left over is 4.

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using the following information. coefficients intercept −12.8094 independent variable 2.1794 anova df ss ms f regression 1 12,323.56 12,323.56 90.0481 residual 8 1,094.842 136.8553 total 9 13,418.4 what is the standard error of the estimate? multiple choice 136.8552 1,094.842 11.6985 13,418.4

Answers

The Standard error of the estimate is 11.6985

The standard error of estimate is the measure of variation of an observation made around around the regression line

Simply, It is used to check the accuracy of prediction made with the regression line. A standard deviation which measures the variation in the set of data from its mean, the standard error of estimate also measured the variation in actual values of Y from the computed values of Y on the regression line.

Given in the question,

coefficient of y-intercept = -12.8094

Coefficient of x = 2.1794

N-1 = 9

=> N = 10

SSE = 1094.842

Standard error of estimate = √SSE(N-2)

where , SSE is sum of square of error

S.E = √(1094.842)/ (10-2)

=> √(1094.842)/8

=> √136,855

=> 11.6985 is standard error

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what is the recursive formula ​

Answers

Answer: The recursive formula generate term at a time by relating the term to one or more previous terms

Step-by-step explanation: The formula for recursive is

f(1)=6,f(n)=f(1)+f(n-1),n>1

five hamburgers cost 5.25 at this rate what is the cost of 8 hamburgers

Answers

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

1. Divide 5.25 by 5 to get the price of 1
2. Price of 1 is 1.05
3. 1.05 multiply by 8 is 8.40
ANSWER: $8.40 for 8

Find the value of so that the graph of the equation has the given y-intercept
Y= -1/3x + 5/6k; b= -10

Answers

The value of 'k' will be;

⇒ k = - 12

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph of the equation has the given y-intercept are;

⇒ Y= -1/3x + 5/6k;  b= -10

Now,

Since, The equation of line in point-slope form will be;

⇒ y = mx + b

Here, The equation is,

⇒ Y= -1/3x + 5/6k

Hence, The y - intercept (b) = 5/6k

But here, b = - 10

So, We get;

⇒ 5/6 k = - 10

Solve for k as;

⇒ 5k = - 10 × 6

⇒ 5k = - 60

⇒ k = - 12

Thus, The value of 'k' will be;

⇒ k = - 12

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Please answer! Another math prob!

Answers

Gavin worked 7 hours tutoring and 3 hours landscaping.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Gavin is working for making $14 per hour tutoring and $13 per hour landscaping.

And, Last week Gavin worked a total 10 hours and earned $137.

Now,

Let number of hour for tutoring = x

And, Number of hour for landscaping = y

Since,  Gavin is working for making $14 per hour tutoring and $13 per hour landscaping and earned $137.

So, We can formulate;

⇒ 14x + 13y = 137  ..(i)

And, Last week Gavin worked a total 10 hours.

So, We get;

⇒ x + y = 10  ..(ii)

Multiply by 13 in equation (ii) and subtract from (i0, we get;

⇒ 14x + 13y - 13x - 13y = 137 - 130

⇒ x = 7

And, x + y = 10

⇒ 7 + y = 10

⇒ y = 10 - 7

⇒ y = 3

Thus, Gavin worked 7 hours tutoring and 3 hours landscaping.

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The of the degrees of each factor is the degree of the product.

Answers

Answer:The degree of the product is equal to the sum of the degrees of the factors.

Step-by-step explanation:

PLS HELP!!! I really need help!
Use substitution to solve the system.

5x + 4y = 9
-2x + y = -14

Answers

Answer:

x = 9/5 − 4y/5

x = 7 + y/2

Step-by-step explanation:

Move all terms that dont contain x to the right side and solve.

Determine whether or not each of the following have the well-ordering property (i.e. whether "WOP(A;)" holds/is true or if is fails/is false). If for a set Ai, WOP(Ai) fails, then give a nonempty subset Eị of the set Aj which has no least element, i.e. give a subset that serves as a counterexample to "WOP(A;)", in other words give a witness that shows that the well- ordering property fails. 1 (iv) A4 = {5i +į lien} = {} \}} (v) A5 ne Z\ {0} n (vi) A6 = {-5, 7, 10, 13}

Answers

(iv) set A₄ holds well ordering property.

(v) set A₅ does not hold well ordering property.

(vi) set A₆ holds well ordering property.

(iv) A₄ = {5i+1/i I i ∈ N}

         = { 5(1) + 1/1, 2(2)+1/2, 5(3)+1/3, 5(4)+1/4, .....}

         = {5+1, 10+1/2, 15+1/3, 20+1/4, ....}

Elements of the set A₄ are distinct and increasing and 6 is the least elements of A₄.

set A₄ holds well ordering property.

(v) A₅ = { 1/n I n ∈ ZI }

        = {1,1/2,1/3,1/4,1/5,....}

A₅ does not hold well ordering property.

(vi) A₆ = {-5,7,10,13}

A₆ is the finite set and all elements are distinct .

For any sub sets of A₆ there exists a dense elements.

A₆ holds well deseriving property.

Hence we get the required answer.

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find the probability if two dice are rolled. (enter the value of probability in decimals. round the answer to three decimal places.)

Answers

The probability of getting a total of 8 when two dice are rolled is 0.139.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be represented by proportions on a 0–1 scale.

A single die will have six sides with the numbers: 1, 2, 3, 4, 5, and 6. Each of these events is equally likely to occur if the dice are rolled fairly. So the probability of getting any side of the number is 1/6. Therefore, the probability of getting 1 in dice is 1/6, 2 is 1/6, and so on.

Therefore, the total possible outcomes are the multiplication of the total possible outcomes on dice 1 and dice 2, which is 36.

This possible outcome of rolling two dice is given by,

[tex]\left\{\begin{array}{ccccccc}(1, 1)&(1, 2)& (1, 3)&(1, 4)&(1, 5)&(1, 6)\\(2, 1)&(2, 2)&(2, 3)&(2, 4)&(2, 5)&(2, 6)\\(3, 1)&(3, 2)&(3, 3)&(3, 4)&(3, 5)&(3, 6)\\(4, 1)&(4, 2)&(4, 3)&(4, 4)&(4, 5)&(4, 6)\\(5, 1)&(5, 2)&(5, 3)&(5, 4)&(5, 5)&(5, 6)\\(6, 1)&(6, 2)&(6, 3)&(6, 4)&(6, 5)&(6, 6)\end{array}\right\}[/tex]

The probability of getting a total of 8 from both dice is given by, (2, 6) (3, 5) (4, 4) (5, 3) (6, 2). So the number of favorable outcomes is 5 and the total outcome is 36. The probability is P(getting a total of 8 from both dices)=5/36= 0.139.

The answer is 0.139.

The complete question is -

Consider rolling dice and getting a total of 8. Find the probability of two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places).

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A drummer and a guitarist each wrote songs for their band. The guitarist wrote 10 fewer than twice the number of songs that the drummer wrote. They wrote a total of 50 songs. Write the system of equations that models this situation if the drummer wrote d songs and the guitarist wrote g songs.

Answers

Answer:

Step-by-step explanation:

no

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

Answers

The number of elements that are common to S and T are 668 elements ,

the correct option is (d) .

In the question ,

it is given that ,

the set S is the set of 2005 positive multiple of 4

that is S = {4,8,12,16,....}

and the set T is the set of 2005 positive multiple of 6

that is T = {6,12,18,24,....}

and since the least common multiple , LCM of 4 and 6 is = 12,

So , elements that are common to set  S and T must be multiples of 12.

Since,  4 × 2005 = 8020 and 6 × 2005 = 12030,

the several multiples of 12 that are in set T won't be in set S,

but all multiples of 12 that are in set S will be in set T.

So we have to find the number of multiples of 12 that are in set S.

and since 4 × 3 = 12, that means every 3rd element of set S will be a multiple of 12.

which is = 2005/3 = 668 .

Therefore , there are 668 elements that are common .

The given question is incomplete , the complete question is

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

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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.
x
Lesson 17 Problem Se
Transformed Linear Equation:
y

Answers

Answer:

The slope is -2/3

Step-by-step explanation:

2x + 3y = -6

We want to find the slope, so we need to get the equation in slope intercept form y = mx+b  where m is the slope and b is the y intercept

Subtract 2x from each side

3y = -2x+6

Divide each side by 3

y = -2/3x +2

The slope is -2/3

an executive hires 3 office workers from 8 applicants. (a) in how many ways can the selection be made?

Answers

The number of ways can the selection be made is 84.

Given:

an executive hires 3 office workers from 8 applicants.

a ) .

Number of ways = C ( 8 , 3 )

C ( n , r ) = n! / ( n - r ) ! r!

C ( 8 , 3 ) = 8! / ( 8 - 3 ) ! 3!

= 8! / 5! * 3 !

= 8 * 7 * 6 * 5! / 5! * 3!

= 56 * 6 / 3!

= 56 * 6 / 3 * 2 * 1

= 56 * 3 / 2 * 1

= 28 * 3 / 1

= 28 * 3

= 84 ways

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an equipment bought four years ago for $4 comma 760 has a current market value of $2 comma 380 . if kept for one more year, it will cost $1 comma 700 in operation and maintenance costs and will have a market value of $1 comma 950 at the end of the year. in conducting a replacement analysis for the equipment, which of those cash flows can be considered a sunk cost? the third stage of the demographic transition is characterized by a slowing of population growth. what is the crucial factor in a nation reaching stage three? a single-turn square loop of side $l$ is centered on the axis of a long solenoid. in addition, the plane of the square loop is perpendicular to the axis of the solenoid. the solenoid has 1370 turns per meter and a diameter of 7.70 cm, and carries a current of 3.11 a. calculate the magnetic flux through the loop when $l$ in the context of common patterns that can derail classroom management during times of transition, which of the following involves a teacher starting something only to leave it hanging? ton, ta, tes:tu as __ rgle?tu as __ cahiers?tu as __ crayons?tu as __ ordinateur de poche?tu as __ stylo?tu as __ gomme?tu as __ classeur?tu as __ sac? a nurse is caring for an infant who is to be administered an enema. what spiritually oriented interventions could the nurse follow with newborns and infants? what is the answer i need answers now Calculate the number of oxygen atoms in a sample of scheelite. Be sure your answer has a unit symbol if necessary, and round it to significant digits mathew johnston invested a total of $94,700 in the new colony pacific region mutual fund. the management fee for this particular fund is 0.80 percent of the total asset value. calculate the management fee mathew must pay this year. Help fast please!!!!!!!Simplify.(-7) (-7)O A. 7B. -7OC.C. 7OD. 49E. -49K Identify the slope and y-intercept of the line below.Slope=?y-intercept=? abrupt \-brpt\ adjective sudden, unexpected. From Latin abruptus, broken off, from abrumpere, to rupture. Based on the dictionary definition, which sentence correctly uses the word abrupt? A. Jamie abrupted the vase sitting on the coffee table while cheering for his team after they scored. B. Donatela sang the lullaby over and over, each time more softly, until her voice abruptly faded away to nothing. C. During my algebra class, many students abrupt the teacher to ask questions when they are confused. D. Our baseball game came to an abrupt halt in the second inning, when a flash of lightning sparked just beyond the trees. D. is correct. A cardboard carrying box has the dimensions shown below. How many square inches of cardboard are needed to make the box? denise works for a company where the it department charges her department for actual usage of a sharepoint server, determining how often users log in and how much storage space her department consumes. what type of it funding model is the company deploying? afonso often feels attracted to men. however, he strongly opposes the idea of same-sex relationships among his friends. according to freud's psychoanalytic theory, afonso's attitude best illustrates the defense mechanism called when humans bend god's good creation in a wrong direction, what should be the twofold response of christians What is the solution for system of equations??? if the measure of an interior angle of a regular polygon is 120 degrees, how many sides does the polygon have? over time with several attempts of passaging, the donor strain used in this laboratory exercise fails to successfully induce mutagenesis in the recipient strain and eventually becomes diffcult to culture. based on your understanding of how the prl27 plasmid behaves in the donor strain, why do these things eventually occur? you are the science officer on a visit to a distant solar system. prior to landing on a planet you measure its diameter to be 1.8 107 m and its rotation period to be 22.3 hours. you have previously determined that the planet orbits 8.6 1011 m from its star with a period of 402 earth days. once on the surface you find that the acceleration due to gravity is 63.6 m/s2. what are the mass of (a) the planet and (b) the star? (g