pls help me this my my second assignment help me!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

F/4 = 18

Multiply both sides by 4

F = 72 N

answer is A

Answer 2

Answer:

72N

Step-by-step explanation:

pressure=force/Area

MAKE FORCE SUBJECT OF THE FORMULA

:. FORCE=PRESSURE ×AREA

Force=18Nm² × 4m²

Force= 18N ×4

:. Force=72N

PLEASE MARK AS BRILLIANT ANSWER


Related Questions

Tara has 1 3/5

yards of fabric. She needs

2 1/2

times this amount to make a shopping bag. How much fabric does Tara need to make the bag?

Answers

Answer:

amount of fabric to make the bag = 4 yards

Step-by-step explanation:

Tara has 1 3/5 yards of fabric . She needs extra 2 1/2 times the amount she have to make a shopping bag. The amount of fabric she needs to make the bag can be calculated as follows.

1 3/5 yards = 8/5 yards of fabrics

What she actually needs to make a shopping bag is two and half the amount she has . Mathematically, it can be express

2 1/2 × 8/5

Let us change 2 1/2 to improper fraction

amount of fabric to make the bag = 5/2 × 8/5

amount of fabric to make the bag = 40/10

amount of fabric to make the bag = 4 yards

Of all the companies on the New York Stock Exchange, profits are normally distributed with a mean of $6.54 million and a standard deviation of $10.45 million. In a random sample of 73 companies from the NYSE, what is the probability that the mean profit for the sample was between 0 million and 5.1 million?

Answers

Answer:

11.90% probability that the mean profit for the sample was between 0 million and 5.1 million

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 6.54, \sigma = 10.45, n = 73, s = \frac{10.45}{\sqrt{73}} = 1.2231[/tex]

In a random sample of 73 companies from the NYSE, what is the probability that the mean profit for the sample was between 0 million and 5.1 million?

This is the pvalue of Z when X = 5.1 subtracted by the pvalue of Z when X = 0. So

X = 5.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5.1 - 6.54}{1.2231}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

X = 0

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0 - 6.54}{1.2231}[/tex]

[tex]Z = -5.35[/tex]

[tex]Z = -5.35[/tex] has a pvalue of 0

0.1190 - 0 = 0.1190

11.90% probability that the mean profit for the sample was between 0 million and 5.1 million

r(x−s)=sx+t what does x equal

Answers

Answer:

x = (rs + t)/(r-s)

Step-by-step explanation:

r(x - s) = sx + t

rx - rs = sx + t

rx - sx = rs + t

x(r - s) = rs + t

x = (rs + t)/(r-s)

The solution for x is x = (t + rs)/(r - s).

What is an equation?

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

We can begin by simplifying the given equation:

First, solve the parenthesis,

r(x - s) = sx + t

Simplify, the equation, we get,

rx - rs = sx + t

rx - sx = t + rs

Take the like terms to one side, we get,

x(r - s) = t + rs

Now, solve for x, we get,

x = (t + rs)/(r - s)

Therefore, x is equal to (t + rs)/(r - s).

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Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Answers

Answer:

domain: (-∞,∞)

range [-3,∞)

Step-by-step explanation:

The domain is the values that x can take

X can be any value so the domain is all real numbers

The range is the values that y can take

The minimum value is -3

The range is y ≥ -3

What is the y value?

Answers

Answer:

y =34

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

63+ 2y+ y+15 = 180

Combine like terms

78+ 3y = 180

Subtract 78 from each side

78+3y-78 = 180-78

3y = 102

Divide each side by 3

3y/3 = 102/3

y =34

Answer:

[tex]y = 34[/tex]

Step-by-step explanation:

Sum of the angles in a triangle is 180 degrees

[tex]2y + 63 + y + 15 = 180 \\ 3y + 63 + 15= 180 \\ 3y +7 8 = 180 \\ 3y = 180 - 78 \\ 3y =10 2 \\ \frac{3y}{3} = \frac{102}{3} \\ y = 34 [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

9 is .03% of what number?

Answers

Answer:

30,000

Step-by-step explanation:

We know that divide the percentage by 100. After that you get the decimal thing then all you do is multiply the number and you get your answer that is  30,000.

Answer: 30,000

Please mark brainliest

Hope this helps.

Brainliest to whoever gets this correct Which of the following is not a polynomial identity?

Answers

Answer:

Hi there!

The correct answer is C.

Step-by-step explanation:

A polynomial identity  are equations that are true for all possible values of the variable. For example, x²+2x+1=(x+1)² is an identity.

A phone company charges 12 cents per minute of call. If Gerardo made a call that took 75 minutes using this plan, how much did his call cost?

Answers

Answer:

900 cents, 9 dollars

Step-by-step explanation:

Solve the inequality 6h−5(h−1)≤7h−11 and write the solution in interval notation. Use improper fractions if necessary.

Answers

Answer:

[tex]h \geq 2\frac{2}[3}[/tex]

Step-by-step explanation:

We solve the inequality similarly to how we would solve an equalitu.

[tex]6h - 5(h-1) \leq 7h - 11[/tex]

[tex]6h - 5h + 5 \leq 7h - 11[/tex]

[tex]h - 7h \leq -11 - 5/[/tex]

[tex]-6h \leq -16[/tex]

Multiplying everything by -1

[tex]6h \geq 16[/tex]

Simplifying by 2

[tex]3h \geq 8[/tex]

[tex]h \geq \frac{8}{3}[/tex]

8 divided by 3 is 2 with rest two. So as a improper fraction, the answer is:

[tex]h \geq 2\frac{2}[3}[/tex]

Answer:

[8,

3

Step-by-step explanation:

George is curious. He has been told that the average body temperature of humans is 98.6 degrees Fahrenheit.​ However, he believes it is much lower than that. He randomly selects 60 people from those passing by him on a street and takes their temperature. The average temperature of these 60 people is 98.2 degrees Fahrenheit. The standard​ deviation, sigma Subscript x​,is known to be 0.62 degrees Fahrenheit. The​ p-value is less than 0.0001. What is the correct​ conclusion?

Answers

Answer:

[tex]p_v =P(t_{(59)}>t_{calc})<0.0001[/tex]  

Since the p value is a very low value we have enough evidence to reject the null hypothesis in favor of the alternative hypothesis and we can conclude that the true mean for this case is significantly different from 98.6 F at any usual significance level used.

Step-by-step explanation:

Information given

[tex]\bar X=98.2[/tex] represent the sample mean

[tex]\sigma=0.62[/tex] represent the population standard deviation

[tex]n=60[/tex] sample size  

[tex]\mu_o =98.6[/tex] represent the value that we want to test

t would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the true mean is equal to 98.6 F, the system of hypothesis would be:  

Null hypothesis:[tex]\mu = 98.6[/tex]  

Alternative hypothesis:[tex]\mu \neq 98.6[/tex]  

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

The degrees of freedom, on this case:  

[tex]df=n-1=60-1=59[/tex]  

The p value would be given by:

[tex]p_v =P(t_{(59)}>t_{calc})<0.0001[/tex]  

Since the p value is a very low value we have enough evidence to reject the null hypothesis in favor of the alternative hypothesis and we can conclude that the true mean for this case is significantly different from 98.6 F at any usual significance level used.

Which expression is equivalent to StartRoot negative 80 EndRoot? Negative 4 StartRoot 5 EndRoot Negative 4 StartRoot 5 EndRoot i 4 StartRoot 5 EndRoot i 4 StartRoot 5 EndRoot


or

Which expression is equivalent to √-80


A. -4√5

B. -4√5i

C. 4√5i

D. 4√5

Answers

The answer is D. 4√5

Answer:

C. 4√5i

Step-by-step explanation:

on edge

please vote brainliest i have never gotten it before

Find the inverse of the following function.
f(t) = , for > 0
148) = , for 1 > 0
o 1-100) = , for > 0
of-13)
25, for I > 0
o 5-10
252 , for r > 0

Answers

Answer:

f(t) =, for>0

-148)=, for 1>0

0 1- 100)=,for>0

of +13)

-25,for1>0

0-5-10

-252, for r>0.

If AB=x and x=4, then the transitive property states


1. AB+4=2x

2. X=4

3. AB+x=4

4. AB=4

Answers

Answer:

5

Step-by-step explanation:

i took the test

The transitive property states AB = 4.

What is transitive property?

The transitive property of equality states that the first number is also equal to the third number if two numbers are equal and the second number is equal to the third number. In other words, if a is equal to b and b is equal to c, then a is equal to c. One of the many mathematical properties of equality is the transitive property.

Given AB = x and x = 4

Acc. to transitive property,

if a = b, b = c Then c = a.

so AB = 4

Hence option D is correct, AB = 4.

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consider the quadratic equation y^2-y=6. what is the error with the solution below?

Answers

Answer:

y=-2 or y=3

Step-by-step explanation:

Y^2-y-6=0

y^2-3y+2y-6=0

y(y-3)+2(y-3)=0

(y+2)(y-3)=0

y=-2 or y=3

hope it helps

Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)?

Answers

Answer:

8.7

Step-by-step explanation:

distance formula

Answer:

\sqrt{68}

Step-by-step explanation:

Using the distance formula, you can find that the distance between these two points is:

[tex]\sqrt{(5-(-3))^2+(-2-(-4))^2}=\\\\\sqrt{(5+3)^2(-2+4)^2}=\\\\\sqrt{8^2+2^2}=\sqrt{64+4}=\\\\\boxed{\sqrt{68}}[/tex]

This is based on the Pythagorean Theorem, since you can imagine making a right triangle between these two points and the distance between them being the hypotenuse. Hope this helps!

Please answer this correctly

Answers

Answer:

Its absolutely cone , it has one triangle face seen from front , and a circular base

Answer:

Rectangular pyramid had a triangular face .

What is the value of y?

Answers

Answer:

d. 54

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

y=(180º-72º)/2

y=108º/2

y=54º

D.

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
3
4
Ο Ο Ο Ο
5
9

Answers

Answer:

The answer is 4

Step-by-step explanation:

1.5(4+4)-3= 9

4.5(4-2)=9

9=9

Answer:

[tex]x=4[/tex]

Explanation:

[tex]1.5x+6+-3=4.5x+-9\\1.5x+3=4.5x-9\\-3x+3=-9\\-3x=-12\\x=4[/tex]

You measure 50 textbooks' weights, and find they have a mean weight of 37 ounces. Assume the population standard deviation is 5.2 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight. Give your answers as decimals, to two places

Answers

Answer:

90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

Step-by-step explanation:

We are given that you measure 50 textbooks' weights, and find they have a mean weight of 37 ounces.

Assume the population standard deviation is 5.2 ounces.

Firstly, the Pivotal quantity for 90% confidence interval for the population mean is given by;

                           P.Q. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean weight = 37 ounces

           [tex]\sigma[/tex] = population standard deviation = 5.2 ounces

           n = sample of textbooks = 50

           [tex]\mu[/tex] = true population mean textbook weight

Here for constructing 90% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 90% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5%

                                            level of significance are -1.645 & 1.645}  

P(-1.645 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.645) = 0.90

P( [tex]-1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.90

P( [tex]\bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.90

90% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]

                                          = [ [tex]37-1.645 \times {\frac{5.2}{\sqrt{50} } }[/tex] , [tex]37+1.645 \times {\frac{5.2}{\sqrt{50} } }[/tex] ]

                                          = [35.79 , 38.21]

Therefore, 90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

What’s the correct answer for this?

Answers

Answer:

B

Step-by-step explanation:

OP = OQ

Answer:

B

Step-by-step explanation:

Look at the shape closely observe the following the imaginary lines;

OC = OA , OB = OD {these is the raduis of the circle;

note also line CQ = CD { the perpendicular line bisects line CD in two equal halves;

Similarly ;

note also line AP= PB { the perpendicular line bisects line OP in two equal halves}

Hence;

OP is congruent to the OQ

In maths we say something is congruent when they are the same shape and have same angles but we are allowed to flip it's side.

Rule multiply the last number by 3 then subtract 2

2 4 10 _ _

Answers

The answer is 28, 82

Answer:

[tex]28[/tex], [tex]82[/tex]

Step-by-step explanation:

[tex]10 \times 3 -2=28\\28 \times 3 - 2 = 82[/tex]

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s circle t) (negative 7)?

Answers

Answer:

153

Step-by-step explanation:

Diego's doctor has recommended that his daily diet should include 3 vegetables, 2 fruits, and 2 whole grains. At the grocery store, Diego has a choice of 9 vegetables, 9 fruits, and 11 whole grains. In how many ways can he get his daily requirements if he doesn't like to eat 2 servings of the same thing in 1 day

Answers

Answer:

166320 ways

Step-by-step explanation:

In this case we must calculate the number of combinations for each option, and then multiply the result of each one, like this:

Number of ways you can choose 3 vegetables out of 9 available:

nCr = n! / (r! * (n-r)!)

in this case n = 9, r = 3, replacing:

9C3 = 9! / (3! * (9-3)!) = 84

Number of ways you can choose 2 fruits out of 9 available:

9C2 = 9! / (2! * (9-2)!) = 36

Number of ways you can choose 2 whole grains out of 11 available:

11C2 = 11! / (2! * (11-2)!) = 55

So according to the rule of the products how many ways you can choose the daily diet

84*36*55 = 166320

The sum of two numbers is 41. One number is 1 less than the other.

Answers

Answer:

s must be 21 and r is 20

Step-by-step explanation:

Represent the two numbers using variables r and s.

Then r + s = 41, and r = s - 1

Substituting the 2nd equation for r into the first equation, we get:

s - 1 + s = 41, or 2s = 42.  Then s must be 21 and r is 20.

Dan got 45 out of 72 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.

Answers

Answer:

3/8

Step-by-step explanation:

45/72=5/8

(5/8)+x=72/72

x=1-(5/8)

x=3/8

Please answer this correctly

Answers

72+72+36= 144+36= 180

Answer:

Area of the figure = 176 m²

Step-by-step explanation:

Area of Rectangle = Length × Width

Dividing the whole figure

Rectangle 1:

6 × 18 = 108 m²

Rectangle 2 :

10 × 6 = 60 m²

Rectangle 3:

2 × 4 = 8 m²

Adding All

Area of the figure = 108 + 60 + 8

Area of the figure = 176 m²

Suppose you have $200,000 in a bank term account. You earn 5% interest per annum from his account

Answers

Answer:

$190,000

Step-by-step explanation:

discount = x

original price = $200,000

discount% = 5%

x/200,000 = 5/100

x · 100 = 5 · 200,000

100x = 1,000,000

100x/100 = 1,000,000/100

x = 10,000

Sale price: $200,000 - $10,000 = $190,000

What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to -3
all real numbers greater than or equal to 4
all real numbers greater than or equal to -3
10X

Answers

Answer:

1. all real numbers less than or equal to 4 = </= 4.

Answer = YES!

2. all real numbers less than or equal to -3 = </= -3.

Answer = YES!

3. all real numbers greater than or equal to 4 = >/= 4

Answer = YES!

4. all real numbers greater than or equal to -3 = >/= -3

Answer = NO!

Step-by-step explanation:

1. all real numbers less than or equal to 4 = </= 4.

1 + 1 = 2

1 + 2 = 3

2 + 2 = 4

2. all real numbers less than or equal to -3 = </= -3.

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

3. all real numbers greater than or equal to 4

1 + 1 = 2

1 + 2 = 3

1 + 3 = 4

1 + 4 = 5

4. all real numbers greater than or equal to -3

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

Answer:

The range is all real numbers less than or equal to 4

Step-by-step explanation:

took the test on edge

Twenty students from Sherman High School were accepted at Wallaby University. Of those students, eight were offered military scholarships and 12 were not. Mr. Dory believes Wallaby University may be accepting students with lower SAT scores if they have a military scholarship. The newly accepted student SAT scores are shown here.


Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300

No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200, 1220, 1330


Part A: Do these data provide convincing evidence of a difference in SAT scores between students with and without a military scholarship? Carry out an appropriate test at the α = 0.05 significance level.


Part B: Create and interpret a 95% confidence interval for the difference in SAT scores between students with and without a military scholarship.

Answers

Answer:

Step-by-step explanation:

For military scholarship,

Mean, x1 = (850 + 925 + 980 + 1080 + 1200 + 1220 + 1240 + 1300)/8

x1 = 1099.375

Standard deviation = √(summation(x - mean)²/n

n1 = 8

Summation(x - mean)² = (850 - 1099.375)^2 + (925 - 1099.375)^2 + (980 - 1099.375)^2 + (1080 - 1099.375)^2 + (1200 - 1099.375)^2 + (1220 - 1099.375)^2 + (1240 - 1099.375)^2 + (1300 - 1099.375)^2 = 191921.875

Standard deviation, s1 = √(191921.875/8

s1 = 154.89

For no military scholarship,

Mean, x2 = (820 + 850 + 980 + 1010 + 1020 + 1080 + 1100 + 1120 + 1120 + 1200 + 1220 + 1330)/12

x2 = 1070.83

Standard deviation = √(summation(x - mean)²/n

n2 = 12

Summation(x - mean)² = (820 - 1070.83)^2 + (850 - 1070.83)^2 + (980 - 1070.83)^2 + (1010 - 1070.83)^2 + (1020 - 1070.83)^2 + (1080 - 1070.83)^2 + (1100 - 1070.83)^2 + (1120 - 1070.83)^2 + (1120 - 1070.83)^2 + (1200 - 1070.83)^2 + (1220 - 1070.83)^2 + (1330 - 1070.83)^2 = 238091.6668

Standard deviation, s2 = =√(238091.6668/12

s2 = 140.86

Part A)

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean score of students with military scholarship and μ2 be the mean score of students without military scholarship.

The random variable is μ1 - μ2 = difference in the mean score between students with military scholarship and without military scholarship

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

t = (1099.375 - 1070.83)/√(154.89²/8 + 140.86²/12)

t = 0.42

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [154.89²/8 + 140.86²/12]²/[(1/8 - 1)(154.89²/8)² + (1/12 - 1)(140.86²/12)²] = 21644133.914878543/1533280.3458504018

df = 14

We would determine the probability value from the t test calculator. It becomes

p value = 0.68

Since alpha, 0.05 < than the p value, 0.68, then we would fail to reject the null hypothesis. Therefore, at a significance level of 5%, these data do not provide convincing evidence of a difference in SAT scores between students with and without a military scholarship

Part B)

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 95% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (8 - 1) + (12 - 1) = 18

z = 2.101

x1 - x2 = 1099.375 - 1070.83 = 28.545

Margin of error = 2.101√(154.89²/8 + 140.86²/12) = 143.3

The 95% confidence interval is 28.545 ± 143.3

find the circumference
(3.14)(24)

Answers

Answer:

75.36unit^2

Step-by-step explanation:

Looking at the expression in the question, it is synonymous to the

equation for the circumference of a circle

π×d =3.14×24=75.36unit^2

Other Questions
Liabilities are the amounts of money due to others that need to be paid now.True or False A supply schedule is used to show the __________. A. cost of producing a good B. supply in a given market C. total value of all goods produced D. transportation costs in a given market Please select the best answer from the choices provided A B C D In a late October marketing meeting, Theresa, the branch manager, told her marketing manager, Sal, that she needed two things by the end of the year from him: "First I want your goals for next year, and then I need your action plan to reach your goals, your ________." Patterson Lawn Co. wants to determine the cost of each lawn care maintenance job. The Company has two operating departments, one that performs lawn care services for commercial properties and one that services residential properties. Both operating departments are supported by two service departments, administrative and machine maintenance. Costs for each of these supporting departments are as follows: Administrative Machine Maintenance Total cost $178,200 $441,000 The following estimates that are related to the operating departments is as follows: Commercial Residential Total properties properties # of employees 42 24 66 # of customers 135 170 305 # of billable hours 5,000 4,000 9,000 Total overhead cost* $ 435,000 $ 360,000 $ 795,000 *Note that total overhead cost includes costs allocated from service departments and other overhead costs. The Company uses the direct method for all cost allocations. Assume that total overhead cost is allocated based on the # of billable hours incurred by each operating department. Suppose a lawn care maintenance job in the residential properties department has a direct cost of $170 and takes 4 hours to complete. What is the total cost of this job? The English system issues as the international system of measurement true or false The Magna carta:________.a. was seen as embodying English freedom, until Parliament repealed it in 1722. b. was, like the English Constitution, unwritten. c. guaranteed religious freedom in Great Britain. d. granted many liberties, but mainly to lords and barons. e. was an agreement between King Henry VIII and the Anglican Church. What is the product of the polynomials below? A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 15 15 in. How can you find the radius if you know the diameter of the sphere? Find the volume of the bowl. Use 3.14 for pi . What warning does the first apparition give Macbeth?A. Malcolm's army will attack his castle.B. He will be killed by Malcolm's sword.C. He should be distrustful of his wife.D. He must watch out for Macduff. edit the texts below. Correctly punctuate/create the complex sentences below. After eating lunch at the cafeteria, Ben went to the gym to have a swim. Due to the damage caused by the storm. The ferry will not be running today. The companys training session, which was due to take place on Tuesday, has been postponed. If you are going to college this autumn dont forget to sign up for a discount card. please find x and y i have tried so hard and i cant. i beg of you. 10 points Which property of addition is shown? (3 + 9) + 8 = 3 + (9 + 8) simplify sqrt of -72 Please answer this correctly The Middle East contains about ____ oil reserves. of the world's A) 5% B) 20%C) 45%D) 65% E) 100% Round to 4 significant figures.35.5450 What is the area of this figure? If 12.5 grams of strontium hydroxide is reacted with 150 mL of 3.5 M carbonic acid, identify the limiting reactant. Which of the following sentences use the subjunctive mood correctly? a) The CFO concluded that if it was clearly explained, the bookkeeper might stop withdrawing travel expenses from the wrong account. b) If he were willing to submit the proposal, we might win the bid. c) Dr. Franklin wishes he were the one who had invented the new web application. write an equation (a) in slope intercept form and (b) in standard form for the line passing through (-3,6) and parallel x+2y=5