Who on here is from Connections Academy?

Answers

Answer 1

Answer:

not me

Step-by-step explanation:

Answer 2

I am not from Connections Academy, but I am in Ohva.


Related Questions

what is the least common multiple of the numbers 5,25, and 15

Answers

Answer:

5

Step-by-step explanation:

Hold on I am doing it right now

Your answer is 75 hope this helps you

6 < 3x + 9 ≤ 18


please help me I will mark brainiest answer thanks

Answers

Answer:

Step-by-step explanation:

6< 3x + 9

-3x < 9-6

-3x < 3 .( -1 )                                            

3x > 3                          

x > 3/3

x > 3

3x + 9 ≤ 18

3x ≤ 18-9

3x ≤ 9

x ≤ 9/3

x ≤  3

S = {XeIR/ 3 > x  ≤ 3 }

Not sure if the solution looks like this

Answer:

Step-by-step explanation:

How many times greater is the first 5 than the second 5 in 853,539

Answers

Answer:

100 times greater is the first 5 than the second 5 in 853,539.

Step-by-step explanation:

To find : How many times greater is the first 5 than the second 5 in 853,539?

Solution :

According to place value system,

Hundred Th.    Ten Th.   Thousand    Hundred    Tens   Ones

       8                    5                 3                5               3          9

The value of first 5 in the number 853,539 is at ten thousand place

So, The value of first 5 is 50000.

The value of second 5 in the number 853,539 is at hundred place

So, The value of second 5 is 500.

The times greater is the first 5 than the second 5 in 853,539 is

[tex]\frac{50000}{500}=100[/tex]

Therefore, 100 times greater is the first 5 than the second 5 in 853,539.

Final answer:

The first 5 in the number 853,539 is 1,000 times greater than the second 5 because it is in the ten thousands place, while the second 5 is in the tens place.

Explanation:

The question asks how many times greater is the first 5 compared to the second 5 in the number 853,539. To answer this, we compare the place values of each 5. The first 5 is in the ten thousands place while the second 5 is in the tens place.

The ten thousands place is 1,000 times greater than the tens place. Therefore, the first 5 (50,000) is 1,000 times greater than the second 5 (50).

18. There are 8 teachers going to the science museum. If each teacher pays
$15 to get inside, how much did the teachers pay?
$

Answers

Answer:

120$ altogether

Step-by-step explanation:

There are 8 teachers and they have to pay 15 dollars so do

8×15=120

or

15+15+15+15+15+15+15+15=120

PLEASSE HELP THANK YOU!!!

Answers

Answer:

[tex]-3x^4+3x^3+8x^2-2x-5[/tex]

Step-by-step explanation:

Here we need to move the negative sign to the rest of the variables, and then only add the ones with the same power:

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)\\-2x^4-2x^3+8x^2+2 - x^4+5x^3-2x-7[/tex]

And then move the variables with the same power closer together

[tex]-2x^4-x^4-2x^3+5x^3+8x^2-2x+2-7[/tex]

See how -x^4 and -2x^4 are together?

All we have to do now is combine.

[tex]-2x^4-x^4-2x^3+5x^3+8x^2-2x+2-7\\-3x^4+3x^3+8x^2-2x-5[/tex]

So our answer is [tex]-3x^4+3x^3+8x^2-2x-5[/tex]

Answer:

-x^4-10x^3-16^x2-14

Step-by-step explanation:

A rectangle has a length of x+7 and a width of 2x-3. If it’s perimeter is 32, what is the value of 3x? A.4/B.12/C.14/D.36/E.42/

Answers

Final answer:

The value of 3x for a rectangle with a length of x+7, a width of 2x-3, and a perimeter of 32 is 12, which corresponds to option B.

Explanation:

The question asks to find the value of 3x for a rectangle with given dimensions and perimeter. The dimensions of the rectangle are length x + 7 and width 2x - 3, with a perimeter of 32.

The perimeter (P) of a rectangle is calculated using the formula P = 2l + 2w, where l is the length and w is the width.

By substituting the given dimensions into the perimeter formula, we get:
32 = 2(x + 7) + 2(2x - 3). Simplifying this, we get:
32 = 2x + 14 + 4x - 6.
Combining like terms, we get:
32 = 6x + 8. Subtracting 8 from both sides gives us:
24 = 6x. Dividing both sides by 6 gives us the value of x, which is 4.

Finally, to find the value of 3x, we simply multiply 3 by 4, giving us an answer of 12, which corresponds with option B in the provided choices.

What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)?

Answers

Answer:

49

Step-by-step explanation:

The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros.

Find the zeros by letting f(x) = 0, that is

- (x - 3)(x + 11) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 11 = 0 ⇒ x = - 11, thus

[tex]x_{vertex}[/tex] = [tex]\frac{-11+3}{2}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4

Substitute x = - 4 into f(x) for y- value of the vertex

f(- 4) = - (- 4 - 3)(- 4 + 11) = - (- 7)(7) = 49

The expression 9X +5 and 11 X -25 represents the measures of two angles of regular nonagon. Find the Measure of an angle of a nonagon (question 16)

Answers

Answer:

140°

Step-by-step explanation:

The interior angles of a regular nonagon are equal.

Equate the 2 given angles and solve for x

11x - 25 = 9x + 5 ( subtract 9x from both sides )

2x - 25 = 5 ( add 25 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Substitute this value into one of the given angles

9x + 5 = (9 × 15) + 5 = 135 + 5 = 140

Thus the interior angle has a measure = 140°

The interior angle of a nonagon measure is 140°.

The given expressions are 9x+5 and 11x-25.

What is a regular nonagon?

A regular nonagon is one in which all the 9 sides are of equal length and the 9 interior angles are of equal measure. On the other hand, when the sides of a nonagon are of unequal lengths and the angles are of different measures, it is called an irregular nonagon.

Now, equate the 2 given angles and solve for x.

That is, 11x - 25 = 9x + 5 ( subtract 9x from both sides )

⇒2x - 25 = 5 ( add 25 to both sides )

⇒2x = 30 ( divide both sides by 2 )

⇒x = 15

Substitute x = 15 value into one of the given angles

9x + 5 = (9 × 15) + 5 = 135 + 5 = 140

Therefore, the interior angle of a nonagon measure is 140°.

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brandy is 4 years younger than twice amy’s age. if brandy is 18, how old is amy?

Answers

Answer:

Step-by-step explanation: 18x2+4=30

Answer:

amy is 11.

Step-by-step explanation:

in the problem it explains that brandy is 4 years younger than twice amys age. if we say that amy is 11 then we can verify the answer because 11*2 is 22-4 is 18.

hope this helps- cam:)

To combine integers with the same sign at their _________ then give their sum the ____ sign as the addends.

Answers

Answer:

to combine integers with the same sign at their sign then give their sum the same sign as the addends

Step-by-step explanation:

if you combine it with the same sign u will get a lot of negatives than postives

2. Solve the following equations for 0° Sx < 180°.
(i) cosec(x+10°) = 3
(ii) cot(x - 30°) = 0.45 .

Answers

Answer:

See below in bold.

Step-by-step explanation:

(1) cosec ( x + 10) = 3

Now cosec x = 1/sin x so

1 / sin (x + 10) = 3

3 sin (x + 10) = 1

sin (x + 10) = 1/3

x + 10 = 19.47 , 160.53 degrees

x = 9.47, 150.53 degrees.

(ii) cot (x - 30) =0.45

cot (x - 30)= 1 /tan (x- 30) so we have

tan (x - 30) = 1 / 0.45 = 2.2222

x - 30 = 65.77 degrees

x = 95.77 degrees.

Final answer:

To solve the given equations, we need to find the values of x between 0° and 180°. For the equation cosec(x+10°) = 3, we solve for sin(x+10°) = 1/3. For the equation cot(x-30°) = 0.45, we solve for tan(x-30°) = 1/0.45.

Explanation:

(i) To solve the equation cosec(x+10°) = 3, we need to find the value of x between 0° and 180°. To do this, we can use the reciprocal identity for cosecant: csc(x) = 1/sin(x). Therefore, csc(x+10°) = 1/sin(x+10°). Solving for sin(x+10°), we have sin(x+10°) = 1/3. From the unit circle, we know that the sine function is positive in the first and second quadrants. So, we need to find the values of x+10° between 0° and 180° where sin(x+10°) = 1/3.

(ii)To solve the equation cot(x-30°) = 0.45, we need to find the value of x between 0° and 180°. The cotangent function is defined as cot(x) = 1/tan(x), so cot(x-30°) = 1/tan(x-30°). Solving for tan(x-30°), we have tan(x-30°) = 1/0.45. From the unit circle, we know that the tangent function is positive in the first and third quadrants. So, we need to find the values of x-30° between 0° and 180° where tan(x-30°) = 1/0.45.

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Solve for x: 5x + 2 = 4x − 9. (1 point)

Answers

Answer:

x = -11

Step-by-step explanation:

5x + 2 = 4x - 9

-2            -2

5x = 4x - 11

-4x   -4x

x = -11

At tryouts for the school talent show, 60% of
30 performers played a musical instrument.
How many performers played a musical instrument?

Answers

Answer:

18 performers

Step-by-step explanation:

I just multiplied 30 by 0.6 (the decimal form of 60 percent) and got 18

18 kids played a musical instrument

Solve for x.

logx+log3=log18

Answers

Answer:

The value of x in log x + log 3 = log 18 is 6.

Solution:

From question, given that log x + log 3 = log 18 ---- eqn 1

Let us first simplify left hand side in above equation,

We know that log m + log n = log (mn) ----- eqn 2

Adding log m and log n results in the logarithm of the product of m and n (log mn)  

By using eqn 2, log x + log 3 becomes log 3x.  

log x + log 3 = log 3x ---- eqn 3

By substituting eqn 3 in eqn 1, we get

log 3x = log 18  

Since we have log on both sides, we can cancel log and the above equation becomes,

3x = 18

[tex]x = \frac{18}{3} = 6[/tex]

Thus the value of x in log x + log3 = log18 is 6

Answer:

the answer is 6

I even toke the test as well.

it is not 6.00001

Step-by-step explanation:

How do you solve square root?​

Answers

Answer:

[tex]Find[/tex]  [tex]the[/tex]  [tex]number[/tex]  [tex]that[/tex]  [tex]multiplies[/tex]  [tex]itself[/tex]  [tex]twice[/tex]

Step-by-step explanation:

When you have a square root number, it should look like this:

[tex]\sqrt{4}[/tex]

[tex]\sqrt{9}[/tex]

Then you're asking how to solve it, simple.

All you have to do is find a number that times itself twice to get that specific number.

Let's look back at the examples I gave you:

[tex]\sqrt{4}[/tex]

This means that you need to find a number that multiples itself twice to get 4.

In this case, it would be two, so:

2 x 2 = 4

[tex]\sqrt{4}[/tex]  =  2

So remember, when you have a square root, you have to find a number that multiples itself twice to get the number in the square root

Jensen spends $18.00 for every 72 text messages she sends. How many messages can Jensen send for $1.00

Answers

4 texts because 18 dollars for 72 texts
can reduce to 1 dollar for 4 texts. i can try to explain further if needed
Final answer:

Jensen can send 4 messages for $1. This is calculated by using the concept of unit rate; first find the unit cost by dividing the total cost by the total number of messages, then divide $1 by the unit cost.

Explanation:

The question is asking how many text messages Jensen can send for $1 if she usually spends $18 for 72 messages. This involves a concept in mathematics called unit rate, which identifies the cost (or quantity) per one unit. First, we figure out how much it costs to send one message by dividing the total cost by the total number of messages, i.e. $18/72. This gives us a unit cost of $0.25 per message. Therefore, to find out how many messages Jensen can send with $1, we divide $1 by the unit cost, giving us 4 messages. So, Jensen can send 4 messages for $1.

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Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a^4 and 16a^4.

Answers

Answer: [tex]48a^4[/tex]

Step-by-step explanation:

 In this case we know that the  legs of the given right triangle have these lenghts:

[tex]12a^4[/tex] and [tex]16a^4[/tex]

By definition, the sides of a right triangle are in the ratio [tex]3:4:5[/tex]

Since:

[tex]\frac{5}{4}=1.25[/tex]

We can multiply the lenght  [tex]16a^4[/tex] by 1.25 in order to find the lenght of the hypotenuse of the right triangle:

[tex](16a^4)(1.25)=20a^4[/tex]

Since the perimeter of a triangle is the sum of the lenghts of its sides, we can write the following expression for the perimeter of the given right triangle:

[tex]12a^4+16a^4+20a^4[/tex]

Simplifying, we get:

[tex]=48a^4[/tex]

The expression in the simplest form that represents the perimeter of the right triangle with legs 12a⁴  and 16a⁴ is 48a⁴

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore,

The perimeter of the right triangle is the sum of the whole sides. Therefore, let's find the hyotenuse.

c² = a² + b²

c² = (12a⁴)² + (16a⁴)²

c² = 144a⁸ + 256a⁸

c² = 400a⁸

c = √400a⁸

c = 20a⁴

Therefore, the perimeter is as follows:

perimeter = 12a⁴ + 16a⁴ + 20a⁴

perimeter = 48a⁴

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what is the solution to -3/4 + 5/8

Answers

Answer:

-1 3/8

Step-by-step explanation:

Answer:-3/4 = -6/8

-6/8 + 5/8= -1/8

Step-by-step explanation:


2) -7x + 5y=10
4x - 5y=-10

Answers

To solve this, the problem is solvable by elimination. So you see how the 5y and -5y cancel out? You basically add those two and you add the -7x and 4x and 10 and -10 leaving you with -3x=0. Dividing by each side gives you x=0. Then, plug 0 in for x in -7x+5y=10. Giving you

-7(0)+5y=10.

0+5y=10

5y=10
Divide by 5 on each side giving you y=2. So your answer is (0,2).

-7x+5y=10

4x-5y=-10

Find x first by eliminating the y.

Add the two equations together.

-7x+4y=-3y

+5y-+5y= 5y-5y=0

10-+10=0

-3x=0

divide both sides by -3

-3x/-3=0/-3

x=0

Find y by using x=0 into -7x+5y=10 ( using substitution  method)

-7(0)+5y=10

0+5y=10

5y=10

divide both sides by 5

5y/5=10/5

y=2

Answer:

(0,2)

A rectangle has a perimeter of 84cm and a length of 35cm.
what is the width

Answers

This is so so so so easy. Simply subtract the length times 2 from the perimeter and divide by 2.

Your answer is 7 cm

Answer:

width = 7 cm

Step-by-step explanation:

length = 35 cm

Perimeter = 84 cm

2 * ( l + b) = 84

2 * ( 35 +b ) = 84

       35 +b  = 84 / 2

        35 + b = 42

                 b = 42 -35

                   b = 7

width = 7 cm

MAFS.912.A-CED.1.1
The measures of three sides of a triangle can be represented by 2x, 3x - 5, and 4x + 2.
The perimeter of the triangle is 65 inches.
a) Give an equation to represent this situation.
b) Solve for x.
c) What are the three lengths of the triangle?

Answers

Answer:MAFS.912.A-CED.1.1

The measures of three sides of a triangle can be represented by 2x, 3x - 5, and 4x + 2.

The perimeter of the triangle is 65 inches.

a) Give an equation to represent this situation.

b) Solve for x.

c) What are the three lengths of the triangle?

An athlete buys a baseball bat and pays a fee for each baseball lesson taken. The fee for each lesson is the same. The number of lessons taken is unknown. The expression 25c + 75 represents the total paid for the baseball bat and the lessons. What does the term 25c represent?
Question 1 options:
The price of the baseball bat.
The difference between the cost per lesson and the cost of the baseball bat. The cost of the lessons taken.
The total price paid.

Answers

Answer:

The cost of the lessons taken

Step-by-step explanation:

Let

y -----> the total paid for the baseball bat and the lessons

c ----> the number of lessons

we have

y=25c+75

This is a linear equation in slope intercept form

y=mx+b

where

b=$75 -----> the price of he baseball bat (y-intercept)

m=25 $/lesson ----> the slope of the linear equation

therefore

25c represent the cost of the lessons taken

The fifth -grade students participating in the math competition will be evenly divided into teams of 3 students each. How many students could be participating?

Answers

The number of students participating in the math competition, where they are divided into teams of 3, must be a multiple of 3. These numbers include 3, 6, 9, etc. Any number divisible by 3 without a remainder is possible.

To determine how many students could be participating in the math competition where teams are composed of 3 students each, we must think about multiples of 3. Since teams must be evenly divided, only a total number of students that is a multiple of 3 would be possible. The concept here is similar to the division of a group assignment among students. For instance, if five students are working on an assignment and they divide it into five equal parts, each student will do one part. In the case of the math competition, we can say that 3, 6, 9, and so on are possible numbers of students participating. Simplistically, any number that can be divided by 3 without leaving a remainder is a valid answer.

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches, how long is a chain with 14 paper clips?

Answers

Answer:

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

Solution:

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get  

[tex]\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}[/tex]  ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get  

[tex]l_{1} = 97.5 \text { and } n_{1} = 65[/tex]

Similarly, for a chain with 14 paper clips with length to be found, we get  

[tex]n_{2}=14 \text { and } l_{2} = ?[/tex]

Now by using eqn 1, we can calculate the length of 14 paper clips  is,

[tex]\frac{97.5}{65}=\frac{l_{2}}{14}[/tex]

Rearranging the terms we get,

[tex]l_{2 }= \frac{97.5 \times 14}{65}[/tex]

[tex]l_{2}=21 \text { inches }[/tex]

Hence the length of chain with 14 paper clips is 21 inches.

Translate the phrase into an algebraic expression 9 more than c

Answers

Answer:

c + 9.

Step-by-step explanation:

That is simply c + 9. More means 'plus'.

Answer:

Step-by-step explanation:

x = c + 9

write fraction or mixed number as a decimal

1. 2/5

2. 8/9

3. 3 3/4

4. 7/10

5. 2 3/8

6. 5/6



Answers

Answer:

1. 0.4

2. 0.8888888889

3. 3.75

4. 0.7

5. 2.375

6. 0.3 the three is ongoing

Step-by-step explanation:

All you have to do is divide the numerator(top) by the denominator(bottom) and if there is a whole number than put that before the decimal

Just divide the numbers. For number 3 turn it into an improper fraction

what is the rule for the reflection?

Answers

Use a mirror of course and make sure they are cemetricle

Answer:

hey user!

your answer is here...

laws ( rules ) of reflection are :-

• angle of incidence is equal to angle of reflection.

• the incident ray, Normal ray and reflected ray all lie in same plane.

cheers!!

Step-by-step explanation:

Manuel takes a job translating English instruction manuals to Spanish. He will receive $15
per page plus $100 per month. Manuel would like to work for 3 months during the summer and make at
least $1500. Write and solve an inequality to find the minimum number of pages Manuel must translate
in order to reach his goal.

Answers

Answer:

15x+100(3) ≥ $1500

x ≥ 80 pages

Step-by-step explanation:

Let x represent the number of  pages.

Manuel receives $15 per page = 15x

Plus $100 per month. Manuel would like to work for 3 months = 15x+100(3)

He wants to make at least $1500 during the summer

Thus the inequality we get is:

15x+100(3) ≥ $1500

Now solve the equation to find minimum number of pages:

15x+300 ≥ $1500

Combine the like terms:

15x ≥ 1500-300

15x ≥ $1200

Divide both sides by 15

15x ≥ $1200/15

x ≥  80 pages

Find the value of a so that the line parallel to y=-2/3x + 4 passes through points(a, 7) and (8, 5)

Answers

Answer:

-5 = a; (-5, 7)

Explanation:

-y₁ + y₂\-x₁ + x₂ = m

-7 + 5\a + 8

a + 8 = 3

- 8 - 8

_________

a = -5

Obviously, we have to set the denominator equal to three to find the value of a. Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so -⅔ remains the same.

I am joyous to assist you anytime.

Wich graph represents the solution to this inequality? -1/4(12x+8)<-2x+11

Answers

Answer:

x > -13

Step-by-step explanation:

-[tex]\frac{1}{4}[/tex] x (12x + 8) < -2x + 11

Factor out 4 from expression

-[tex]\frac{1}{4}[/tex] x 4 (3x + 2) < -2x + 11

reduce numbers wit greatest common divisor 4

- (3x + 2) < =2x + 11

When a - is in front of parenthesis change the sign

-3x -2 < -2x + 11

Move variable to left side and change the sign

-3x + 2x -2 < 11

Move constant to the right and change the sign

-3x + 2x < 11 + 2

Collect like terms

-x < 11 + 2

add

-x < 13

Change the signs on both sides of the inequality and flip the inequality sign

x > -13

Answer:

x > -13

Step-by-step explanation:

-13 with the red dot and go to the right where it passes -5

            ➡️ ➡️➡️

-17 -15 -13 -11 -9 -7 -5

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The image strongly suggests that those who drive drunk may end up serving time in prison. The image powerfully demonstrates that even people in prison know not to drive drunk. Kelton Inc. produces large quantities of products for their customers within tight deadlines. Recently, customers have been returning their products to Kelton, citing errors and defects in the items they have received. Which of the following total quality management cores values does Kelton need to employ to correct this issue? what is the equation for the line of reflection? In patients infected with nonresistant strains of the tuberculosis bacterium, antibiotics can relieve symptoms in a few weeks. However, it takes much longer to halt the infection, and patients may discontinue treatment while bacteria are still present. How might this result in the evolution of drug-resistant pathogens? is the sole proprietor of Prestigious Pups, a business specializing in the sale of high-end pet gifts and accessories. Prestigious Pups' sales totaled $ 986 comma 000 during the most recent year. During the year, the company spent $ 58 comma 500 on expenses relating to website maintenance, $ 30 comma 500 on marketing, and $ 29 comma 100 on wrapping, boxing, and shipping the goods to customers. Prestigious Pups also spent $ 643 comma 000 on inventory purchases and an additional $ 19 comma 700 on freight-in charges. The company started the year with $ 16 comma 250 of inventory on hand and ended the year with $ 16 comma 800 of inventory. Prepare Prestigious Pups' income statement for the most recent year. If x+y+z=13 what is the value of (x-1)+(y+1)+(z-1) 293,671 in word from Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total of $98 for the rental and mileage,for how many miles of driving was Juliet charged?(Assume there is no tax.)A) 15B) 120C) 533D) 633 Describe how to find the sums -4+2 and -4+(-2) on a number line. what is the probability of rolling an odd number on one roll of dice Employment data at a large company reveal that 74% of the workers are married, 42% are college graduates, and that 56% are married, given that they are college graduates. Which of the following statements are true about the events married and college graduate?(A) These events are pairwise disjoint.(B) These events are independent events.(C) These events are both independent and pairwise disjoint.(D) A worker is either married or a college graduate always.(E) None of these above are true. On January 1, 2016, Jacob Inc. purchased a commercial truck for $48,000 and uses the straight-line depreciation method. The truck has a useful life of eight years and an estimated residual value of $8,000. On December 31, 2018, Jacob Inc. sold the truck for $30,000. What amount of gain or loss should Jacob Inc. record on December 31, 2018? A.Loss, $3,000. B.Loss, $18,000. C.Gain, $22,000. D.Gain, $5,000. The car is traveling at a constant speed v0 = 80 km/hr on the level portion of the road. When the 4-percent (tan q = 4/100) incline is encountered, the driver does not change the throttle setting and consequently the car decelerates at the constant rate g sin q. Determine the speed of the car: (a) 28 seconds after passing point A ,and (b) when s = 620 m. Isaac has high-functioning autism, but his parents accept him as he is and encourage him to find interests that he can pursue throughout his life. He loves Legos, and plays them all the time, even though he is 16 years old. His parents don't criticize him for this behavior, but instead encourage him to design new creations and praise his creativity. Isaac's parents exhibit ______ Landen Corporation uses a job-order costing system. At the beginning of the year, the company made the following estimates: Direct labor-hours required to support estimated production 125,000 Machine-hours required to support estimated production 62,500 Fixed manufacturing overhead cost $ 350,000 Variable manufacturing overhead cost per direct labor-hour $ 3.80 Variable manufacturing overhead cost per machine-hour $ 7.60 During the year, Job 550 was started and completed. The following information is available with respect to this job: Direct materials $ 201 Direct labor cost $ 240 Direct labor-hours 15 Machine-hours 5 Required: 1. Assume that Landen has historically used a plantwide predetermined overhead rate with direct labor-hours as the allocation base. Under this approach: a. Compute the plantwide predetermined overhead rate. b. Compute the total manufacturing cost of Job 550. c. If Landen uses a markup percentage of 200% of its total manufacturing cost, what selling price would it establish for Job 550? 2. Assume that Landens controller believes that machine-hours is a better allocation base than direct labor-hours. Under this approach: a. Compute the plantwide predetermined overhead rate. b. Compute the total manufacturing cost of Job 550. c. If Landen uses a markup percentage of 200% of its total manufacturing cost, what selling price would it establish for Job 550? A scientist observes plant roots growing through the mountain side. This is evidence for which type of natural process?