Solve the equation.

|x-1|+5=2

Answers

Answer 1

Answer:

No answer is applicable for this question

Step-by-step explanation:

Start off by moving the singular numbers to one side. This can be done by subtracting 5 from both sides. Then you are left with |x-1|=-3.

After reaching this point, you must know what whatever number, negative or not, within the lines will always come out to be positive. If those lines were not there, the answer would be -2. But if -2 was inserted at this point, you would find yourself with the answer of 3=-3. Hope this helps, comment a question below if you do not understand

Answer 2

The solution of the given equation is -2.

The given equation is |x-1|+5=2.

We need to solve the given equation.

How to solve an absolute value equation?

To solve an equation containing an absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Now, |x-1|=2-5

⇒|x-1|=-3

⇒x-1=-3

⇒x=-2

Therefore, the solution of the given equation is -2.

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Related Questions

You pay $60 for 5 yoga classes. How much is one class?​

Answers

Answer: 12

Step-by-step explanation:

60 divided by 5 is 12.

Hope this helps!

Answer: $12

Step-by-step explanation:

60/5=12

(20 POINTS IF RIGHT)

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

the 4th one

Step-by-step explanation:

x increase by 3 and y increase by 12.

ANSWER: the answer would be 4

Step-by-step explanation:

it is  (-3,12) (-6,24) (-9,36) i know because it is going by fours and you have a number you can multiply it by or divide it by

A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. An adult ticket costs as much as the combined cost of a student ticket and a child ticket. you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23.

what are 3 system of equations?

what is the price per ticket for each type of ticket?

Answers

Answer:

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Step-by-step explanation:

Let

x -----> the price per ticket for adults

y -----> the price per ticket for students

z -----> the price per ticket for child between the ages of 3 and 8

we know that

The system of equations is

[tex]2x+y+z=15[/tex] ------> equation A

[tex]x=y+z[/tex] ------> equation B

[tex]x+4y+2z=23[/tex] -----> equation C

substitute equation B in equation A and solve for x

[tex]2x+(x)=15[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Substitute the value of x in equation B and equation C

[tex]5=y+z[/tex] -----> equation B

[tex]5+4y+2z=23[/tex]

[tex]4y+2z=18[/tex] -----> equation C

Solve the system by graphing

Remember that the solution is the intersection point both graphs

Using a graphing tool

The solution is the point (1,4)

so

z=1, y=4

therefore

The price per ticket for adults is $5

The price per ticket for students is $4

The price per ticket for child between the ages of 3 and 8  is $1

Which of the binomials below is a factor of this trinomial?
5х2 - 5x - 100
А. х-4
ОВ. x+ 10
ос. x+5
OD. х- 5

Answers

Answer:  The correct answer is:   [D]:  " (x - 5) "

__________________________________________________

Step-by-step explanation:

__________________________________________________

First, let's try to "factor out" the given trinomial:

__________________________________________________

   "  5x² -  5x  - 100 " ;

__________________________________________________

We can "factor out" a "5" ;

since among the three (3) terms in this trinomial,

 We have:  5x² , 5x, and 100 ;

Note that not all of these 3 terms have a variable in them;

           → Consider the value;  "100" .

Note that the remaining two (2) terms have the same variable, "x" ;  

          →  5x² ; and 5x " ;

Note that each of these 2 (two) terms have a coefficient of "5" ;

Note that the other term, "100" ; is divisible "evenly"  by "5" ;

         → that is; when the term, "100", is divided by "5" ; the result is an integer;  {specially, " 100 ÷ 5 = 20 " .}.

__________________________________________________

So:  Let us being by "factoring out" a "5" ;

Given the trinomial:  " 5x² - 5x - 100 " ;

         →5(x² - 1x - 20) ;  or:  5(x² - x - 20) ;

 

       → At this point, although this trinomial express is not completely

"factored out" ;

__________________________________________________

Let us consider:  Do either of these two (2) factors appear among the answer choices given:

          1)  " 5" ;  or:  2)   "(x² - x - 20)" ??  No!

__________________________________________________

Let us continue.

We have:  5(x² - x - 20) ;  

       →  We can write as:  " 5 (x² - 1x - 20) "  ;

__________________________________________________

Now, let see if we can further "factor out" the:

       →  (x² - 1x - 20) ;

Now, note the " -20" ; and the " -1x " ;

       

      → What two (2) factors of:  "-20" ;  add up to "-1" ?  ;

__________________________________________________

Let us consider the factor of "-20" :

-20,  1 :  -20 + 1  = -19 ;  -19 =? -1 ?  No.

 20, -1 :  20 + (-1) = 20 - 1 = 19 ;  19 =? -1 ? No.

 10, -2 :  10  + (-2) = 10 - 2 = 8 ; 8  =? -1 ?  No.

-10,  2 :  -10 + 2 =  -8 ;  -8  =? -1 ?  No.

 -4, 5  :  - 4 + 5 = 5 + (-4) = 5 - 4 = 1 ;  1  =? -1 ?  No.

 4, -5  :   4 + (-5) = -5 + 4 = -1 ;  -1 =? -1 ?  Yes!

__________________________________________________

So,  we have +4  and -5 ;  

  (+4) * (-5) = -20 ;

  (+4) + (-5)  =  -5 + (+4) =  -5 + 4 = -1 ;

__________________________________________________

So, we factor out:

 →  (x² - 1x - 20) ;

that is:  " (x² - x - 20) " ;

into:

__________________________________________________

" (x + 4) (x - 5) " ;

and to factor out:  " 5x² - 5x - 100 " ;

we bring down the "5" ;  and write as:

 →  " 5 (x + 4) (x - 5) " ,

__________________________________________________

So:

We have three (3) factors when the trinomial expression is "factored out":  

 →  5 ;  (x + 4) ;  and:  (x - 5) ;

__________________________________________________

 → Among these three factors, the only one that appears as a given answer choice is:  

 →  " (x - 5) " ;

 →  which is our answer:

__________________________________________________

 →   Answer choice:  [D]:  " (x - 5) " .

__________________________________________________

Hope this answer is helpful to you!

      Best wishes!

__________________________________________________

A pizza is advertised as containing 250 square inches of a pizza. To the nearest inch , what is the diameter of the pizza?

Answers

Final answer:

The diameter of a pizza with an area of 250 square inches is approximately 18 inches when calculated using the area formula for a circle and rounded to the nearest inch.

Explanation:

To find the diameter of a pizza given its area, we can use the formula for the area of a circle, A = πr², where A is the area and r is the radius of the circle. Given that the area is 250 square inches, we can solve for the radius and then find the diameter, which is twice the radius.

First, we rearrange the formula to solve for the radius: r = √(A/π). Plugging in the given area, we have r = √(250/π). Using π approximately equal to 3.14159, we find r ≈ √(250/3.14159) ≈ √(79.577) ≈ 8.92 inches. Therefore, the radius of the pizza is approximately 8.92 inches.

To find the diameter, we simply multiply the radius by 2: diameter = 2r ≈ 2(8.92) ≈ 17.84 inches. To the nearest inch, the diameter of the pizza is approximately 18 inches.

Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:


A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure ABCD has A at ordered pair negative 4, negative 2, B at negative 2, negative 3, C at negative 3, negative 4, D at negative 4, negative 4. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 2, A prime at 2, 3, C prime at 3, 4, D prime at 4, 4.


Which statement best compares the lengths of the sides of the two figures?


Length of AB = Length of C′D′

Length of CD = Length of A′B′

Length of CD = Length of B′C′

Length of AB = Length of A′B′

Answers

Answer:

Length of AB=Length of A'B' because they are corresponding sides.

you should definetely mark me brainliest ;)

Answer: Length of AB = Length of A′B′

Step-by-step explanation:

Given : Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′.

We know that a rotation is a rigid motion which does not changes shape and size of the figure.

It means the corresponding side lengths are equal.

Thus , if  Figure ABCD is rotated to form A′B′C′D′, then the corresponding sides of both of them are equal.

i.e. Length of AB = Length of A′B′

Length of BC = Length of B′C′

Length of CD = Length of C′D′

Length of DA = Length of D′A′

Hence, the statement best compares the lengths of the sides of the two figures :  Length of AB = Length of A′B′

in your new home, you are planning to completely re-landscape the backyard. the yard is 18 feet long and 20 Feet Wide. a contractor has said that for labor and materials, the cost to re-landscape will be $7 per square foot. how much will the landscaping project cost?

Answer: The Project will Cost _____ Dollars​

Answers

Answer:

$2520

Step-by-step explanation:

18 times 20 = 360

360 time 7 = 2520

Final answer:

The total cost of the landscaping project for the backyard is found by multiplying the area of the backyard (360 square feet) by the cost per square foot ($7/square foot), which gives a total of $2520.

Explanation:

To find the cost of the landscaping project, we first need to calculate the area of the backyard. The area is found by multiplying the length and width of the space. So, the area of the backyard is 18 feet x 20 feet = 360 square feet.

Next, we know that the cost to re-landscape the yard is $7 per square foot. To find the total cost, we multiply the area of the yard by the cost per square foot. So, the total cost will be 360 square feet x $7/square foot = $2520.

Therefore, the total cost of the landscaping project for the backyard is $2520.

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After 2 days, the Johnsons had used
23 tanks of gas. How many tanks of gas
were they using per day?
tanks of gas​

Answers

Final answer:

The Johnsons were using 11.5 tanks of gas per day.

Explanation:

To find out how many tanks of gas the Johnsons were using per day, we need to divide the total tanks used by the number of days. Based on the information given, the Johnsons used 23 tanks in 2 days. So, the tanks of gas used per day can be calculated as:

23 tanks / 2 days = 11.5 tanks of gas per day

19/25 into a decimal

Answers

Answer:

0.76

Step-by-step explanation:

19 divided by 25 is 0.76.

0.76

19 divided by 25

What is the domain of the function
f(x)= square root of (1/3)x+2?

Answers

Answer:

The domain of f(x) = √[(1/3)x +2] is [-6, ∞).

Step-by-step explanation:

GIven f(x) = √[(1/3)x +2], you have to find the values for which the the expression inseide the square will be possitive (for negative values the function is not defined for Reals.

(1/3)x + 2 = 0 ⇒ (1/3)x = -2 ⇒ x = -2/(1/3) ⇒ x = -6

Finally the domain of f(x) is (-6, ∞).

Answer:

✔️ X [tex]\geq[/tex] -6

What is 848 -662 rounded the nearest hundred estimated

Answers

Answer: 200

it would be 200 becuase it would orignally be 186 and since it says "rounded the nerest hundred estimated" you would round up in this case and get 200

Good morning☕️

______

Answer:

200

___________________

Step-by-step explanation:

848 - 662 = 186

186 rounded to nearest hundred is 200.

:)

Binh spent 15 game tokens in an amusement park arcade . She won 11 tokens while she was playing the games. If she had no tokens left when she leaves the arcade, how many did she buy while she was playing games? Explain your answer

Answers

Answer:she only buy 4 tokens

Step-by-step explanation:

We know that Binh have 15 tokens, and she won 11 tokens. So, she just need buy 4 tokens.

She buys 4 games tokens during playing games.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Number of tokens she won = 11

Number of tokens she spent= 15

Number of tokens she buy = Number of tokens she spent - Number of tokens she won

Number of tokens she buy = 15 - 11 = 4

Hence "She buys 4 games tokens during playing games".

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Frostburg truth bus travels on a straight road from Frostburg mall to Sojourner Truth park the mall is 2 miles east and 5 miles north of the city center the park is 5 miles west and 5 miles south of the center how far is it from the mall to the park to the nearest 10th of a mile

Answers

Answer:

10 miles long i do believe

The distance from the mall to the park is approximately 12.2 miles to the nearest tenth of a mile.

To find the distance from the mall to the park, we can use the Pythagorean theorem since the path forms a right triangle. The legs of the triangle are the distances from the mall to the city center (2 miles east and 5 miles north) and from the park to the city center (5 miles west and 5 miles south).

Let's denote the distance from the mall to the park as d. Then, we can set up the equation:

[tex]\[ (2 + 5)^2 + (5 + 5)^2 = d^2 \][/tex]

Solving this equation:

[tex]\[ (7)^2 + (10)^2 = d^2 \]\[ 49 + 100 = d^2 \][/tex]

[tex]\[ 149 = d^2 \][/tex]

Now, we take the square root of both sides to find d:

[tex]\[ d = \sqrt{149} \][/tex]

Using a calculator, we find:

[tex]\[ d \approx 12.2 \][/tex]

Find two consecutive odd integers such that the sum of their squares is 34

Answers

Answer:

3 and 5

Step-by-step explanation:

use the guess and check method form the numbers 1, 3, 5 since only the square of these 3 numbers are under 34.

Final answer:

The two sets of consecutive odd integers whose squares sum to 34 are 3 and 5, and -5 and -3.

Explanation:

To identify the two consecutive odd integers whose squares sum up to 34, we'll first understand that consecutive odd integers can be represented as x, and x+2 (since every other integer is odd). The squares of these integers should equal 34.

This gives us the equation: x^2 + (x+2)^2 = 34. Simplifying this, we get: x^2 + x^2 + 4x + 4 = 34, 2x^2 + 4x - 30 = 0. This simplifies further to x^2 + 2x - 15 = 0. Factoring this equation gives us (x-3)(x+5) = 0. Therefore, the solutions are x = 3 and x = -5.

Therefore, the two pairs of consecutive odd integers that satisfy the conditions are 3 and 5 or -5 and -3.

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Some students prepare 3 different snacks. They make 1/8 pound bags of nut mix, 1/4 pound bags of cherries, and 1/6 pound bags of dried fruit. If they buy 3 pounds of nut mix, 5 pounds of cherries, and 4 pounds of dried fruit, how many of each type of snack bag will they be able to make?

Answers

Answer:

24 bags, 20 bags and 24 bags

Step-by-step explanation:

Students made a bag of nut mix by using = [tex]\frac{1}{8}[/tex] pound

They bought nut mix = 3 pounds

they will be able to make number of nut mix bags = [tex]\frac{3}{\frac{1}{8} }[/tex]

                                                                      = [tex]\frac{3\times 8}{1}[/tex]

                                                                      = 24 bags

Students made a bag of cherries by using = [tex]\frac{1}{4}[/tex] pound

They bought cherries = 5 pounds

they will be able to make number of cherries bags = [tex]\frac{5}{\frac{1}{4} }[/tex]

                                                                      = [tex]\frac{5\times 4}{1}[/tex]

                                                                      = 20 bags

Students make a bag of dried fruit by using = [tex]\frac{1}{6}[/tex] pound

They bought dried fruit = 4 pounds

they will be able to make number of dried fruit bags = [tex]\frac{4}{\frac{1}{6} }[/tex]

                                                                      = [tex]\frac{4\times 6}{1}[/tex]

                                                                      = 24 bags

Students would be able to make 24 bags of nut mix, 20 bags of cherries and 24 bags of dried fruit.

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

Equation

An equation is an expression that shows the relationship between two or more variables and numbers.

For 3 pounds of nut mix:

Number of snack bag = 3 pounds / (1/8 pound) = 24 sacks

For 5 pounds of cherries:

Number of snack bag = 5 pounds / (1/4 pound) = 20 sacks

For 4 pounds of dried fruit:

Number of snack bag = 4 pounds / (1/6 pound) = 24 sacks

The students would be able to make 24 sacks of nut mix, 20 sacks of cherries and 24 sacks of dried fruit.

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Can anyone please help me with this questions 2-51 “Plot triangle ABC with vertices A(0,0), B(3,4), and C(3,0) on graph paper. Using the origin as the point of dilation, enlarge it by...

Answers

Answer:My guess might not be correct, but here it is anyway: On the online math textbook, there's this thing called Homework help. Click on that where this problem and a graph show up on your screen. Click on the hint box, then you'll see an answer box below that. Add up the three side lengths, and you should have your answer. Then, you'll need to to look up on how to calculate an area and perimeter on a triangle. And that's it! Hope this helped Rosa.

Step-by-step explanation:

3) Michael, the ice cream man, can make 24 ice cream sandwiches in 1 hour. At this rate, how
many ice cream sandwiches can he make in 4 hours?

Answers

Answer:

24 times 4 = 96

Answer: 96 ice cream sandwiches

Step-by-step explanation:

24 ice cream sandwiches equals 1 hour

24 ice cream sandwiches x 4 hours = 96 ice cream sandwiches

Hope this helps!


9. Is the relationship shown by the data linear? If so, model the
data with an equation.

Answers

Answer:

D

Step-by-step explanation:

Its C because as you can tell its not a negative , so D is incorrect the its not a because there is a relationship and c is incorrect because Y is less than X which is  2 more than X and that is how i got D

Carol needs to buy 16
apples for apple bobbing. If
each bag contains 4 apples,
how many bags will she
need?

Answers

Answer:

She will buy 4 bags of apples, because every bag has 4 apples, and if you divide the number of apples she needs by the number of apples per bag, you will get 4. 16/4=4

Step-by-step explanation:

Which equation has no solution?

Answers

Answer: D

Step-by-step explanation: In order to have no solution, each side must have the same number of the variable. D works out to be 20+6x=6x+16

which expression is equivalent to 5x - 30?
A =. 5(x-30)
b =. 5( x-6)
c =. x(5 - 30

Answers

The answer is b because 5 times x is 5x and 5 times 6 is 30

Answer: I believe the answer is B

Step-by-step explanation:

Because 5 times x and then 5 times 6

That will give you 5x-30

Daryl used a ruler to measure the distance between two cities on a map with a scale of 1 inch to 40 miles. He reported the actual distance between the two cities as 200 miles, with a measurement error of 10 miles. What is the smallest increment on the ruler Daryl used?

A. 0.25 in.
B. 0.5 in.
C. 0.75 in.
D. 1 in.

Answers

Hey!

-------------------------------------------------

We Know That:

1 inch = 40 miles

200 / 4 = 5

200mi. = 5 x 40mi. (5 x 1mi on scale)

-------------------------------------------------

Solution:

40 / 4 = 10 (not to scale)

1 / 4 = 0.25 (error to scale)

If the scale is 0.25 then it's half way while rounding.

-------------------------------------------------

Answer:

[tex]\large\boxed{B.~0.5~in.}[/tex]

-------------------------------------------------

Hope This Helped! Good Luck!

Answer: Is not A. Its B.

Step-by-step explanation:

I chose A and it is wrong. I would choose B.

400 * 0.5 = 200

400 * 0.25 = 100

translate “one less than the quotient of a number and -5”

Answers

(x/-5)-1

one less = -1

quotient= division

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.y=-2/5x+11/5

Answers

Answer:

y-intercept (0,11/5)

x-intercept (11/2,0)

Step-by-step explanation:

The y-intercept is obtained when the x-coordinate equals 0 (x=0)

so the y-intercept is (0,11/5)

The x-intercept is obtained when the y-coordinate equals 0 (y=0)

In this case

0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2

So the x-intercept is (11/2,0)

A family deposited $8000 into an account six years ago. The account earned
simple interest at a yearly rate. So far the total interest earned is $1200. What is
the rate for the account?

Answers

Use I = prt

1200 = 8000r(1)

1200/8000 = r

0.15 = r

15% = r

For this you have to ask yourself:

$1200 is what percent of $8000

$1200/$8000 = x%
0.15 = x%
0.15 x100 = 15%

The rate for the account is 15%

What’s number 9? I know the answer

Answers

Answer:

9?

Step-by-step explanation:

15-6=9 or 6+_=15 so 6+9=15 and your final answer is,9?

Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per year. How much should she invest in each fund if she wants to earn 6.1% interest on the total amount? Add commas where necessary.

Answers

$4,200 at 4%, $9,800 at 7%

The fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Remy has $14,000 to invest in two mutual funds.

Let the fund x dollars would be interest at 4% per year and

So the other fund is (14000 - x) dollars interest at 7% per year.

She invests in each fund if she wants to earn 6.1% interest on the total amount.

⇒ (4/100)x + (7/100)(14000 - x ) = (6.1/100)(14000)

⇒ 4x + 7(14000 - x ) = 6.1(14000)

⇒ 4x + 98000 - 7x = 85400

⇒ 3x = 12600

⇒ x = 12600/3

⇒ x = 4200

So the other fund = (14000 - 4200) = 9800

Hence, the fund is 4200 dollars interest at 4% per year and the other fund is 9800 dollars interest at 7% per year.

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Find the missing factor.
6x2 + 13x - 5 = (3x - 1
)

Answers

Answer:

(2x+5)

Step-by-step explanation:

Need it asap plz :).

Answers

Answer:

I have no idea what this is sorry bro

Step-by-step explanation:

Answer:

1.9 x 10^6

Step-by-step explanation:

2094800-158975=1935825

move the decimal over 1.9

count how many times 6

1.9 x 10^6

Jasmine has 3 3 /8 pounds of turkey meat. She is making 1/3 pound turkey burgers. Does Jasmine have enough meat to make 12 turkey burgers? Explain.

Answers

Answer: no

Step-by-step explanation:

She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.

Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

What is Unitary method?

The unitary method involves the process of finding the value of a single unit and based on this value, we can find the value of the required number of units.

Given is a girl named jasmine who has 3 3/8 pounds of turkey meat. She is making 1/3 pound turkey burgers.

Now -

1 burger requires → 1/3 pounds of turkey

12 burgers will require → 12 x 1/3 → 4 pounds of turkey

Turkey available with Jasmine → 3 3/8 pounds →  3.375 pounds of turkey

Hence, Jasmine does not have enough meat to make 12 burgers.

Therefore, Jasmine does not have enough meat to make 12 turkey burgers as she has 3.375 pounds of turkey while 4 pounds of turkey is needed.

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Why is it important to keep the temperature and the amount of water the same when testing surface area? What is the independent variable?A. The height of the plant B. The intensity of the light C. Sunlight D. The color of the light Reading a Production Possibility ScheduleDaysQuantity ofdoughnutsQuantity ofbagelsQuantity ofcroissants6007050This schedule shows the opportunity cost of producingdoughnuts, bagels, and croissants.Refer to the schedule and use the drop-down menu toanswer each question.On Day 2, Raj makes 70 more bagels than on Day 1.What is the opportunity cost of producing 70 morebagels?On Day 3, Raj makes 50 more croissants than on Day2. What is the opportunity cost of producing fifty morecroissants?250014050350070100 Yancey Productions is a film studio that uses a job-order costing system. The companys direct materials consist of items such as costumes and props. Its direct labor includes each films actors, directors, and extras. The companys overhead costs include items such as utilities, depreciation of equipment, senior management salaries, and wages of maintenance workers. Yancey applies its overhead cost to films based on direct labor-dollars.At the beginning of the year, Yancey made the following estimates:Direct labor-dollars to support all productions $ 8,370,000Fixed overhead cost $ 5,022,000Variable overhead cost per direct labor-dollar $ 0.07Required:1. Compute the predetermined overhead rate.2. During the year, Yancey produced a film titled You Can Say That Again that incurred the following costs:Direct materials $ 1,420,000Direct labor cost $ 2,511,000Compute the total job cost for this particular film. The frequency of a certain trait in a population will increase over many generations if which of the following istrue?A)The trait is carried by all members of the population, but expressed only in a few.B) Those organisms with the trait have better reproductive success than those without it.c) Those organisms without the trait interbreed freely with those that have the traitD)There is a sudden change to the environment that reduces the population with the trait A drug is designed to block fat absorption from the diet in order to promote weight loss. This drug also makes people nauseous if taken in the morning. If people lose weight while taking this drug, can you be sure it is due to reduced fat absorption? Excavations of the Roman city of Sepphoris have uncovered numerous detailed mosaics depicting several readily identifiable animal species : a hare, a partridge, and various Mediterranean fish. Oddly, most of the species represented did not live in the Sepphoris region when these mosaics were created. Since identical motifs appear in mosaics found in other Roman cities, however, the mosaics of Sepphoris were very likely created by traveling artisans from some other part of the Roman Empire. Which of the following is an assumption on which the argument depends? (A) The Sepphoris mosaics are not composed exclusively of types of stones found naturally in the Sepphoris area. (B) There is no single region to which all the species depicted in the Sepphoris mosaics are native. (C) No motifs appear in the Sepphoris mosaics that do not also appear in the mosaics of some other Roman city. (D) All of the animal figures in the Sepphoris mosaics are readily identifiable as representations of known species. (E) There was not a common repertory of mosaic designs with which artisans who lived in various parts of the Roman Empire were familiar. Choose the best response.Cmo est tu bistec?Nuestro bistec est delicioso.Mo bistec est delicioso.Tu bistec est delicioso.Mi bistec est delicioso. 2An oil pump is drawing 44 kW of electric power while pumping oil withrho=860kg/m3at a rate of 0.1m3/s.The inlet and outlet diameters of the pipe are 8 cm and 12 cm, respectively. If the pressure rise of oil in thepump is measured to be 500 kPa and the motor efficiency is 90 percent, determine the mechanical efficiencyof the pump. All groups create norms to enforce their cultural values.Please select the best answer from the choices providedTF Write a program that asks the user to enter a number of seconds and then printsthe same amount of time in days, hours, minutes, and seconds.For example, 3667 seconds is equivalent to 0 days, 1 hour, 1 minute, and 7 seconds.Print out the result in the format:"0 day(s), 1 hour(s), 1 minute(s), and 7 second(s)." A crate is resting on a ramp that is inclined at an angleabovethe horizontal. As the angle is incrased the crateremains in placeuntil the angle reaches a value of 38degrees. Then the crate beginsto slide down the slope. (a) Determine the coefficient of staticfriction between the crateand the ramp surface. (b) The coefficientof kinetic frictionbetween the crate and the ramps surface is0.600. Find theacceleration of the moving crate. _____ refers to activities to plan, organize, lead, and control the flow of products, services, finances, and information that passes through a set of entities from a source to the customer. a. Contingency planning b. Demand chain management c. Supply chain management d. Enterprise resource planning Solve for x. 3x-(5-2x)=x-21 The APB partnership agreement specifies that partnership net income be allocated as follows: Partner A Partner P Partner B Salary allowance 30000 10000 40000 Interest on average capital balance 10% 10% 10% Remainder 40% 40% 20% Average capital balances for the current year were $50,000 for A, $30,000 for P, and $20,000 for B. 19. Refer to the information given. Assuming a current year net income of $50,000, what amount should be allocated to each partner? Partner A Partner P Partner B A) 20000 20000 10000 B) 16000 16000 8000 C) 19000 (3000) 34000 D) 17000 0 33000 A. Option A B. Option B C. Option C D. Option D In which step of the trial process does a defense attorney have the chance to question the prosecutions witnesses for the first time? if $860 is invested for one year at 5% simple interest, how much interest is earned? (College Algebra) A charged wire of negligible thickness has length 2L units and has a linear charge density . Consider the electric field E-vector at the point P, a distance d above the midpoint of the wire. The field E-vector points along one of the primary axes, yWhat is the magnitude E of the electric field at point P? Throughout this part, express your answers in terms of the constant k, defined by k=1/(4) An electron is a negatively charged particle that has a charge of magnitude, e - 1.60 x 10-19 C. Which one of the following statements best describes the electric field at a distance r from the electron? The electric field is directed toward the electron and has a magnitude of ke/r. The electric field is directed away from the electron and has a magnitude of ke/2. The electric field is directed toward the electron and has a magnitude of ke/? The electric field is directed toward the electron and has a magnitude of ke?/r. The electric field is directed away from the electron and has a magnitude of ke/r. The equation y = 3.5x represents the rate, in milesper hour, at which Laura walks.The graph at right represents the rate atwhich Piyush walks. Determine who walksfaster. Explain.