Erica babysits for 4 ½ hours and is paid $27. How much does she make for 8 hours?

Answers

Answer 1

Answer: $216

Step-by-step explanation:

Hope it helped


Related Questions

The figure shows a two-dimensional
representation of a bird made out of
origami paper. Find m/1 and m/2.
Explain your reasoning.
(3x + 5)°
(4x-30)

The figure shows a two-dimensionalrepresentation of a bird made out oforigami paper. Find m/1 and m/2.Explain

Answers

In the given origami of the two dimensional figure , the value of angle 2 is 70° and the value of angle 1 is 110 °

Parallel lines are straight lines that do not intersect at any point in geometry.

Parallel planes are three-dimensional pathways that never intersect. Parallel curves do not touch or intersect and have a fixed minimum distance.

From the figure we can see that m∠1 = 4x-30 as they are vertically opposite angles.

Again m∠1 = 3x+5 as they are corresponding angles from the pair of parallel lines.

now let us solve the linear equation to calculate the value of x.

3x+5 = 4x-30

or, -x = -35

or, x = 35

Now

m∠1 = 3x+5 = 110

Therefore m∠2 = 180 -110 = 70 ( straight angle formed whose sum is 180)

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Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.

Answers

Answer:

b + 1.75f

Step-by-step explanation:

1.75 cups are used for every loaf of pumpkin bread.

Answer:

f(4/7)=b

Step-by-step explanation:

3+1/2=7/2

(7/2)x=2

x=4/7

the constant of the equation is 4/7

so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.

f(4/7)=b

Hope that helps :)

using the midpoint formula find the coordinates of the midpoint 9f each sigment with end points (4,2),(-5,-1)​

Answers

Answer:

The midpoint of the segment is (-0.5,0.5).

Step-by-step explanation:

Midpoint of a segment:

The midpoint of a segment is given by the mean of its coordinates.

Segment with end points (4,2),(-5,-1)​

x-coordinates: 4 and -5

y-coordinates: 2 and -1

x-coordinate of the midpoint:

\(x = \frac{4-5}{2} = -\frac{1}{2} = -0.5\)

y-coordinate of the midpoint:

\(y = \frac{2-1}{2} = \frac{1}{2} = 0.5\)

The midpoint of the segment is (-0.5,0.5).

The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of the region outside the semicircle but inside the rectangle?

The figure below shows part of a stained-glass window depicting the rising sun. Which function can be

Answers

Answer:

\( A(w) = w^2 + 5w - \frac{1}{8}\pi w^2 \)

Step-by-step explanation:

A = the area of the region outside the semicircle but inside the rectangle

w = the width of the rectangle or diameter of the semicircle

Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).

A(w) = (area of rectangle) - (area of semicircle)

\( A(w) = (l*w) - (\frac{1}{2} \pi r^2) \)

Where,

lenght of rectangle (l) = w + 5

width of rectangle (w) = w

r = ½*w = \( \frac{w}{2} \)

Plug in the values:

\( A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2) \)

\( A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2) \)

Simplify

\( A(w) = (w^2 + 5w) - (\frac{1}{2} \pi (\frac{w^2}{4}) \)

\( A(w) = w^2 + 5w - \frac{1}{2}*\pi*\frac{w^2}{4}* \pi \)

\( A(w) = w^2 + 5w - \frac{1*\pi*w^2}{2*4} \)

\( A(w) = w^2 + 5w - \frac{1*\pi w^2}{8} \)

\( A(w) = w^2 + 5w - \frac{1}{8}\pi w^2 \)

That dude is right

Step-by-step explanation:

Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.

What is the length of AE¯¯¯¯¯ ?



Enter your answer in the box.

the length of AE¯¯¯¯¯ =
cm

Answers

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Where are the x-intercept(s) of the graph?

Where are the x-intercept(s) of the graph?

Answers

The x-intercept of the graph is (0,0).

What is an illustration of an x-intercept on a graph?

On a graph, the x-intercept is the point at which a line crosses the x-axis. At that time, the y coordinate has no value. The y-intercept is the point where the line crosses the y-axis. The x coordinate has no value. For example, y = x + 5 would intersect the x-axis at (-5, 0), forming the x-intercept.

From the figure, it is clear that the line crosses the X-axis at the origin, which means that x - coordinate 0 keeping y -coordinate is also zero.

Which means that the x-intercept of the graph is (0,0).

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A gumball machine has 3 red gumballs and 3 green ones. If you buy 2 gumballs, what is the probability that both will be red? (Enter your probability as a fraction.)

Answers

So in a gumball machine there are 6 gumballs (3+3)

\( \frac{2}{6} \)

because you buy 2 gumballs, which means you bought 2 gumballs out of 6.

plss help i need it asap!!!! thxss

plss help i need it asap!!!! thxss

Answers

Answer:

8

Step-by-step explanation:

3(x-1)=2x+6

3x-3=2x+6

x=9

RS=x-1, so RS=8

a solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane. each object has mass mm and radius rr. they both roll without slipping down the incline. which of the following statements about their motion must be true?

Answers

If a solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane with each object having mass m and radius r then the solid sphere will reach the bottom first.

We know that each object has uniform density and that they all roll without slipping. Also, size, mass, density, and height don’t matter.

let, mass = m

gravity = g

height = h

final velocity = v

radius  = r

angular velocity = ω = vr

moment of inertia = I = km\(r^{2}\)

(where  k  is a measure of the average distance of the mass of an object from its rotational axis)

Now using the law of conservation of energy,

mgh = 1/2m\(v^{2}\) + 1/2I \(\omega^{2}\)

2gh =  \(v^{2}\)+ k\(v^{2}\)

v = \(\sqrt{\frac{2gh}{1+k} }\)

Now if we want to maximize v  we will have to minimize k  -that is we want the mass to be concentrated close to the center. This is inherent as we don’t want the object to waste energy in spinning but rather concentrate it on maximizing the object's speed.

Thus, the hollow sphere whose all the mass is present at the edge will come down slowly while the solid sphere whose mass is concentrated in the center will come down quickly.

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how much more would it cost a family of 5 to get the jets game ($105.66) than a Lions game ($79.19?

Answers

Answer:

The answer is 26.47.

Step-by-step explanation:

To get this answer, you simply need to subtract $105.66, by $79.19. You would get the answer of 26.47.

Step 1.       \($105.66 x 5 = 528.3\)

Step 2.      \($79.19 x 5 = 395.95\)

Step 3.     \(528.3 - 395.95 = 132.35\)

Thus, with all these steps it would cost $132.35 more to go to the jets game than to go to the lions game.

how many balls are there in ten dozen​

Answers

Answer:

120 balls

Step-by-step explanation:

Ten dozen is 120.


29. Fifty percent of the parallelogram is shaded. What is the area of the shaded region?

29. Fifty percent of the parallelogram is shaded. What is the area of the shaded region?

Answers

Answer:

25 cm

Step-by-step explanation:

the whole parallelograph is 5 times 10 which equals 50. Devide that by 2 and you get 25

Answer:

the answer is 25 cm total

One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.

Answers

The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

How to find the rate of return ?

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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The table below represents a frequency distribution for the age (in years) of employees at a particular company.
Age (in years) Frequency
23-29
25
30-36
41
37-43
37
Use the table to answer the following questions.
Your answers should be exact numerical values
The class width used for the frequency distribution is
The class midpoint for the class 23-29 is
The class midpoint for the class 30-36 is
The class midpoint for the class 37-43 is
Check

Answers

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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J&L Electrical Services had a beginning balance (1 January 2019) in accounts receivable (debtors) of R200 000 and a beginning balance of allowance for credit losses of R4 000. During the financial year (1 January 2019 – 31 December 2019) they delivered services on credit for R660 000 and collected R640 000 from debtors. If J&L Electrical Services estimates that 2% of ending accounts receivable will not be collected, his adjusting journal entry will include a: A. credit to allowance for credit losses of R4 400. B. debit to allowance for credit losses of R400. C. debit to allowance for credit losses of R4 400. D. credit to allowance for credit losses of R400.

Answers

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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the value of the nth term in a sequence of numbers is given by the expression 2n-3. What is the 8th term in the sequence

Answers

Answer:

2n-3=0

2n=3

n=3/2

therefore answer is 3/2

What is the elevation of the deck where Winston ate dinner?

plz helppp

Answers

Question:

What is the elevation of the deck where Winston ate dinner?

Answer:

The surf shop was higher and the distance would be 12.8 feet above the oceans surface.

12.8

Step-by-step explanation:

A random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6. A random sample of 17 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 8.5. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ1 be the mean sales per market in Region 1 and μ2 be the mean sales per market in Region 2. Use a significance level of α=0.02 for the test. Assume that the population variances are not equal and that the two populations are norm

Answers

Answer:

We conclude that there is no difference in potential mean sales per market in Region 1 and 2.

Step-by-step explanation:

We are given that a random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6.

A random sample of 17 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 8.5.

Let \(\mu_1\) = mean sales per market in Region 1.

\(\mu_2\)  = mean sales per market in Region 2.

So, Null Hypothesis, \(H_0\) : \(\mu_1-\mu_2\) = 0      {means that there is no difference in potential mean sales per market in Region 1 and 2}

Alternate Hypothesis, \(H_A\) : > \(\mu_1-\mu_2\neq\) 0      {means that there is a difference in potential mean sales per market in Region 1 and 2}

The test statistics that will be used here is Two-sample t-test statistics because we don't know about population standard deviations;

                            T.S.  =  \(\frac{(\bar X_1 -\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+ {\frac{1}{n_2}}} }\)   ~  \(t__n_1_+_n_2_-_2\)

where, \(\bar X_1\) = sample mean sales in Region 1 = 84

\(\bar X_2\) = sample mean sales in Region 2 = 78.3

\(s_1\)  = sample standard deviation of sales in Region 1 = 6.6

\(s_2\)  = sample standard deviation of sales in Region 2 = 8.5

\(n_1\) = sample of supermarkets from Region 1 = 12

\(n_2\) = sample of supermarkets from Region 2 = 17

Also, \(s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }\)  = \(s_p=\sqrt{\frac{(12-1)\times 6.6^{2}+(17-1)\times 8.5^{2} }{12+17-2} }\) = 7.782

So, the test statistics =  \(\frac{(84-78.3)-(0)}{7.782 \times \sqrt{\frac{1}{12}+ {\frac{1}{17}}} }\)  ~   \(t_2_7\)

                                   =  1.943  

The value of t-test statistics is 1.943.

 

Now, at a 0.02 level of significance, the t table  gives a critical value of -2.472 and 2.473 at 27 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that there is no difference in potential mean sales per market in Region 1 and 2.

What molecules does a plant need to make glucose in the process of photosynthesis? Choose all correct answers. oxygen water carbon dioxide light

Answers

Answer: water,  carbon dioxide  , light

Step-by-step explanation:

Answer:

water and carbon dioxide

Step-by-step explanation:

i gut finched the quiz for k12 and this is the right answer

light is wrong  

A new Community Wellness Complex is being built in Hadleyville. The perimeter of the rectangular playing field is 492 yards. The length of the field is 9 yards less than
quadruple the width What are the dimensions of the playing field?
The width is yards
The length is yards

Answers

Answer:

width: 51 yardslength: 195 yards

Step-by-step explanation:

Let w represent the width of the field in yards. Then 4w-9 is the length. The perimeter is given by the formula ...

  P = 2(L+W)

Substituting given values, we have ...

  492 = 2((4w-9) +w)

  246 = 5w -9 . . . . . . . divide by 2

  255 = 5w . . . . . . . . add 9

  51 = w . . . . . . . . . divide by 5

  4w -9 = 4(51) -9 = 195 . . . . the length of the field

The width is 51 yards.

The length is 195 yards.

Classify the equation as a conditional equation, an identity, or a contradiction. 7−10x+5x=6+1−5x

Answers

Answer:

a = 4

Step-by-step explanation:

24a+14=6(8a+3)-26a+4

24a+14 = 48a+18-26a+4

24a-48a+26a = 18+4-14

2a = 8

a = 4

The equation 7−10x+5x=6+1−5x is an identity, as it simplifies to 7 = 7 and is true for all values of  x.

Let's simplify the given equation:

7−10x+5x=6+1−5x

Combine like terms on both sides:

7-5x=7-5x

Now, add 5x from both sides:

7-5x+5x=7-5x+5x

7=7

The equation simplifies to 7=7, which means both sides are equal.

This equation is an identity because it is true for all values of x.

Hence, the given equation 7−10x+5x=6+1−5x is an identity, as it simplifies to 7 = 7 and is true for all values of  x.

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What does the exponent above the r mean in the formula for area of a circle?

Answers

Answer:

Step-by-step explanation:

r² means the length of the radius is multiplied by itself.

It is also a clue that area is expressed in square units.

What does the exponent above the r mean in the formula for area of a circle?

Please answer both Identify the statement that represents the given algebraic expression. N/2 - 17, where n is a number A. Twice a number decreased by 17B. Half a number and 17C. A number less 17 halves D. Half a number decreased by 17

Answers

The given expression is

\(\frac{N}{2}-17\)

Where N is a number.

Notice that the number is being divided by 2, it's half. Subtraction represents a decrease.

Therefore, the right statement is D. Half a number decreased by 17.

Solve the equation -2 =
k=
k+7
3

Solve the equation -2 =k=k+73

Answers

\({ \orange{ \tt{k = 1}}}\)

Step-by-step explanation:

-2 = k+7/3

cross multiply 3 with -2 then,

-6 = k+7 (OR) k+7 = -6.

k = -6+7

k = 1.

pls help! I will give brainliest, the question is below!

pls help! I will give brainliest, the question is below!

Answers

Answer:

top left

Step-by-step explanation:

pls help! I will give brainliest, the question is below!

A drink has the ratio 3 parts orange juice to 6 parts mango juice. If you have 4 litres of orange juice to use, how much mango juice do you need?

Answers

The amount of mango juice you need is 8 litres

How to determine the amount of mango juice needed?

From the question, we have the following parameters that can be used in our computation:

Orange juice = 3 parts

Mango juice = 6 parts

When these parameters are represented as ratio, we have the following expression

Ratio = Orange : Mango

This is then represented as

Orange : Mango = 3 : 6

When the litres of orange juice is 4, we have

4: Mango = 3 : 6

Express as fraction

Mango/4 = 6/3

Multiply through by 4

Mango = 4 * 6/3

Evaluate

Mango = 8

Hence, the mango juice is 8 litres

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can someone help me with 8

can someone help me with 8

Answers

Answer:

red

Step-by-step explanation:

2000 mm is 2m. Have a great day/night!

which statement best describes the difference between the formula for population and sample variance?

Answers

The formula for population variance uses the division of (sum of squared deviations) by the total number of elements in the population, while the formula for sample variance uses the division of (sum of squared deviations) by the sample size minus one.

Difference between the formula for population and sample variance?

The formula for population variance uses the division of (sum of squared deviations) by the total number of elements in the population, while the formula for sample variance uses the division of (sum of squared deviations) by the sample size minus one.

The formula for population variance is given by:

σ² = (1/N) * ∑(X - μ)²,

where N is the total number of elements in the population, X is an individual value in the population, and μ is the mean of the population.

s²= (1/(n-1)) * ∑(X - m)²,

where n is the sample size and m is the mean of the sample.

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l need help with this pls

l need help with this pls

Answers

Answer:

50°

Step-by-step explanation:

In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°

50 i did it and got a 100


In the division problem 18+ 3 = 6, is 18 the
quotient
divisor
dividend
remainder

Answers

Answer:

Dividened

Step-by-step explanation:

Because that is what is going into 3

have a great day!

brailiest is appreciated!

That’s not a division symbol, it’s a sum, but assuming you meat to put the division symbol, 18 would be the dividend
Other Questions
E12-7 Analyzing the Impact of Selected Transactions on the Current Ratio LO12-8 Current assets for JC Inc. totalled $35,550, and the current ratio was 1.58. Assume that the following transactions were completed: (1) Purchased merchandise for $5,000 on short-term credit. (2) Purchased a delivery truck for $31,000-paid $4,400 cash and signed a two-year interest-bearing note for the balance. Required: 1. Determine without computations if the current ratio will increase, decrease, or remain unchanged after each transaction. Impect on current ratioTransaction(1) _____________Transaction(2) ______________2. Compute the current ratio after each transaction. (Round the final answers to 2 decimal places.) current ratioTransaction(1) _____________Transaction(2) ______________ Which of the following correctly completes box #1 in the chart above?A.cityB.stateC.townshipD.federalPlease select the best answer from the choices providedABCD Circle the direct object in each sentence and then rewrite the sentence. Replace the direct object with the correct direct object pronoun.1.uds.entienden la leccin de espaol.2. Mi abuela no ve la televisin.3. Drag each excerpt to the correct location on the table. Match each excerpt to the correct type of poetry.Let me be, let me be, For my lot iscast: Land or sea all's one to me,And sail it slow or fast.(ChristinaRossetti, "Song")"Let us both fly up to town: ThereI'll buy you such a gown! Which,completely in the fashion, You shalltie a sky-blue sash on; And a pairof slippers neat To fit your darlinglittle feet, So that you will look andfeel Quite galloobious and genteel.Jikky wikky bikky see, Chicky bikkywikky bee, Twicky witchy wee!"(Edward Lear, Mr. and Mrs. SpikkySparrow)He said, I look for butterflies Thatsleep among the wheat; I makethem into mutton-pies, And sellthem in the street I sell them untomen, he said, Who sail on stormyseas; And thats the way I get mybreadA trifle, if you please.(Lewis Carroll, Ill Tell TheeEverything)Nor had I time to love; but sinceSome industry must be, The littletoil of love, I thought, Was largeenough for me.(Emily Dickinson,I Had No Time To Hate, Because)PLZ HELP I WILL GIVE 50 POINTS ASAP!!!!!!!! pls help and no links thanks for your time and may god bless you all Multiple ChoiceWhen a soloist performs alongside an orchestra or other large ensemble, the piece is called a A. virtuoso. B. Mass. C. duet. D. concerto Find the equivalent resistance between terminals a and b Express your answer to three significant figures and include the appropriate units. which phrase best describes igneous rocks In 2020, Dubai Company changed from straight-line to double-declining-balance depreciation. The total Accumulated depreciation for straight-line is $210,000 and the total under double is $280,000 for all years through 2019 and for 2020 under the double was $95,000. The tax rate is 30%. The amount that should be reported in the income statement for 2020 as a change in accounting principle is Peter have twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 stickers together. How many stickers does Peter have? Immigration policy is primarily the responsibility of ________._A. state governmentsB. local governmentsC. the national governmentD. the border states convert the angle 180 to radians express your answer exactly more than 40 percent of the employees at a company lost their jobs during a recent recession. the human resource department of this company would call this role ambiguity. voluntary turnover. role conflict. involuntary turnover. Fall 2021 1. [20pts] Consider the control system shown in the figure, where De(s) is the controller. (a) Assume that De(s) is PD-type with De(s) = s + 1. Determine the system type of the ccontrol system and the steady-state error if the input is the unit step function. (b) Assume now that De(s) is PID-type with De(s) = s +1+ K/s. Determine the steady-state error under the step input. 020,00 OY 2. [10pts] Sketch the root locus for the characteristic equation 1 + K 3+1 = 0. s(s+2) How would you measure the flowof water? Pick a technological, device, tool, or initiative and discuss how it makes the job of a Sports Communication Director/VP of Marketing easier and more streamlined. pls help! I need the answer quickly! Which best explains why an iceberg floats?Water expands and becomes denser when it freezes.Water contracts and becomes denser when it freezes. Evaluate the limit using L'Hpital's rule e + 2x - 1 lim z0 6x PLz answer this is important I WILL GIVE BRAINLIES TO WHOEVER ANSWERS THIS CORRECTLY!!! A bystander defends the notetaker by saying, its aw rawt: es a gentleman: look at his boots. What does this quote say about Victorian beliefs regarding Social Class and crime?