There is a chick-fil-a exactly 7 miles due west of berkmar middle school. There is also a wal-Mart 5 miles due north of Berkmar middle school. How far is the chick fil a from the Walmart? Leave your answer in its simplest radical form.

Answers

Answer 1

Answer:

8.60

Step-by-step explanation:

7 squared+ 5 squared= C squared

49+25=C squared

74=C squared

You then just square 74 and get 8.60 when rounded

100% correct, teacher corrected my answer, I had the same question today

Answer 2

Answer:

8.6

Step-by-step explanation:

i answered this question on a test .


Related Questions

solve for the unknown variable 1/3x-9=15

Answers

Answer:

x=72   if i could get brainliest that would be great

Step-by-step explanation:

Step 1: Add 9 to both sides.

1/3x−9+9=15+9

1/3x=24

Step 2: Multiply both sides by 3.

3*(1/3x)=(3)*(24)

x=72

x = 72

Step-by-step explanation:

⅓x - 9 = 15

⅓x = 15 + 9

⅓x = 24

x = 24 × 3/1

x = 72

So, the value of unknown variable (x) is 72

Hope it helpful and useful :)

Multiple Choice
For the following question, assume that lines that appear to be tangent are tangent. Point O is the center of the circle. Find the value of x. Figures are not drawn to scale.

Answers

Answer:

44

Step-by-step explanation:

crop the square into two, then you can see tangent which is 90°.

so, 360-90-90-136=44

The value of angle x is,

⇒ ∠x = 44°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

For the following question, assume that lines that appear to be tangent are tangent.

And, Point O is the center of the circle.

Hence, We can formulate;

⇒ ∠x + 136° = 180°

⇒ ∠x = 180° - 136°

⇒ ∠x = 44°

Thus, The value of angle x is,

⇒ ∠x = 44°

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Please help with this! :)

Answers

Answer:

4 and 3 <------- That's the set I believe!

Arrange the numbers 2,3,4,5,6,7,8,9 and 10 in the accompanying triangle so that each side sums to 21 show your answer and please help

Answers

All three sides will be equal to 21.

So that is

3 + 7 + 9 + 2 = 21,

3 + 8 + 6 + 4 = 21 and

2 + 10 + 5 + 4 = 21

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Given

Put the Number from 2 to 10 in the circle so that the sum of the Number on each side of a triangle is the same.

        3

    7      8

  9           6

2   10     5    4

So the numbers form a triangle and assume that a circle is drawn on the numbers.

If we add the numbers all the three sides will be equal to 21.

So that is

3 + 7 + 9 + 2 = 21,

3 + 8 + 6 + 4 = 21 and

2 + 10 + 5 + 4 = 21

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You use the associative property of multiplication to change how factors
are grouped. In the example, why are the factors of the term 3 x 7a
regrouped as (3 x 7)a?
Your answer

Answers

Answer:3x7

Step-by-step explanation:

Okay so I don’t think I can get it to you tomorrow or tomorrow if you want to know if you want

the factors of the term [tex]3 \times (7a)[/tex] are regrouped as [tex](3 \times 7) \times a[/tex]  so that by using the associative property we can simplify the multiplication process and ensure consistency in mathematical calculations.

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product. This property can be written mathematically as:

[tex](a \times b) \times c = a \times (b \times c)[/tex].

In the example, the factors 3 and 7a are initially grouped as [tex]3 \times (7a)[/tex]. Using the associative property, we regroup them as [tex](3 \times 7) \times a[/tex]. This shows that it doesn't matter how we group the numbers; the product will be the same.

For instance:
[tex]3 \times 7a = (3 \times 7) \times a = 21a[/tex]

This regrouping can make calculations simpler because it allows us to first multiply 3 and 7 to get 21 and then multiply by the variable a, rather than working directly with the expression 7a.

In the example, the factors of the term [tex]3 \times (7a)[/tex] are regrouped as [tex](3 \times 7) \times a[/tex]  so that by using the associative property we can simplify the multiplication process and ensure consistency in mathematical calculations.

The formula y equals 15 left parenthesis 1.26 right parenthesis to the power of x gives the number of cellular phone users y (in millions) in some country for the years 1994 through 2006. In this formula, x = 0 corresponds to 1994, x = 1 corresponds to 1995, and so on. Use this model to predict the number of cellular phone users in the year 2006.

The predicted number of cellular phone users in the year 2006 is __________ million. (Round to the nearest whole number as needed.)

Answers

Final answer:

Using the formula y = 15(1.26)^x and setting x to 12 for the year 2006, we calculate that the predicted number of cellular phone users in that year is approximately 84 million.

Explanation:

The formula y = 15(1.26)^x is used to predict the number of cellular phone users in millions for a given year, with x representing the number of years since 1994. In this case, we want to find the predicted number of cellular phone users for the year 2006. Since 2006 is 12 years after 1994, we will set x = 12.

Plugging in this value, the equation becomes y = 15(1.26)^12. To find the answer, we must calculate 1.26 raised to the power of 12 and then multiply the result by 15.

Calculating this gives us y = 15(1.26)^12 ≈ 15 * 5.582 ≈ 83.73 million, which we round to 84 million cellular phone users.

Final answer:

The predicted number of cellular phone users in the year 2006 is 63 million.

Explanation:

To predict the number of cellular phone users in the year 2006 using the formula y = 15(1.26)^x, we need to determine the value of x that corresponds to the year 2006. We know that x = 0 corresponds to 1994, so the year 2006 would be 12 years later. Therefore, x = 12.

Substituting x = 12 into the formula, we have y = 15(1.26)^12.

Calculating this expression gives us y ≈ 63.273.

Rounding to the nearest whole number, the predicted number of cellular phone users in the year 2006 is 63 million.

What is the area of triangle IHC?

Answers

Answer:

[tex]28 cm^2[/tex]

Step-by-step explanation:

The formula for finding the area of a triangle is:

[tex]\frac{1}{2} bh[/tex]

The "b," is the base (7), and the "h," is the height (8):

[tex]\frac{1}{2} (7)(8)[/tex]

[tex]\frac{1}{2} (56)[/tex]

28

"The area of triangle [tex]IHC is $\boxed{\frac{1}{2} \times b \times h}$[/tex], where [tex]$b$[/tex] is the base of the triangle and[tex]$h$[/tex]is the height of the triangle.

To determine the area of triangle IHC, we need to know the lengths of the base and the height. The area of a triangle is given by the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]

In the case of triangle IHC, if we let b represent the length of the base IH, and h represent the length of the height from point H to side IH, then the area of triangle IHC can be calculated using these values.

Without specific numerical values for b and h, we cannot calculate a numerical area. However, if the values of b and h are provided, we can substitute them into the formula to find the area. For example, if b = 6 units and h = 4 units, then the area would be:

[tex]\[ \text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \][/tex]

Thus, the area of triangle IHC with a base of 6 units and a height of 4 units would be 12 square units. If the actual lengths of the base and height are different, those values should be substituted into the formula to calculate the correct area."

Jared is at the grocery store buying dog food for his dogs. He wants to purchase the dog food at the lowest price per ounce. The table below shows the number of pounds of the different bags of food and the prices.



Bag Size

(in pounds)

Price
5 $4.80
10 $7.90
20 $16.20
50 $40.00


Which size bag of dog food should Jared buy?

Answers

Jared bought the 10 pound bag as it is the cheapest bag per ounce.

Jared should buy the 10-pound bag of dog food to get the lowest price per ounce.

To determine which size bag of dog food Jared should buy to get the lowest price per ounce, we need to calculate the price per ounce for each bag size and then compare them.

First, we convert the weight of each bag from pounds to ounces, knowing that 1 pound equals 16 ounces. Then we calculate the price per ounce by dividing the price of each bag by the number of ounces it contains.

 Here are the calculations:

1. For the 5-pound bag:

 - 5 pounds * 16 ounces/pound = 80 ounces

 - Price per ounce = $4.80 / 80 ounces = $0.06 per ounce

2. For the 10-pound bag:

 - 10 pounds * 16 ounces/pound = 160 ounces

 - Price per ounce = $7.90 / 160 ounces = $0.049375 per ounce

3. For the 20-pound bag:

 - 20 pounds * 16 ounces/pound = 320 ounces

 - Price per ounce = $16.20 / 320 ounces = $0.050625 per ounce

 4. For the 50-pound bag:

 - 50 pounds * 16 ounces/pound = 800 ounces

 - Price per ounce = $40.00 / 800 ounces = $0.05 per ounce

Now, comparing the price per ounce for each bag, we find that the 10-pound bag offers the lowest price per ounce at $0.049375.

Therefore, Jared should buy the 10-pound bag of dog food to get the lowest price per ounce.

The correct answer is the 10-pound bag of dog food.

What is the discriminant of the quadratic equation 9x2 – X – 8=0?

Answers

Answer:

288

Step-by-step explanation:

a = 9

b = -1

c = -8

b^2 * -4 * ( a * c )

Just filing in the numbers given above:

-1^2 * -4 * ( 9 * -8 )

1 * -4 * ( -72)

1 * + 288 = 288

A survey of 3 different groups of students was conducted asking students how many texts they sent that day at lunch. The results are summarized below.

Part A:

Group A has a median of?

Which is?
( greater, less, or the same as)

Group B and?
( greater, less, or the same as Group C)

Answers

Answer:

The median of group A is less than the median of group B and greater than the median of group C.

Step-by-step explanation:

From the photo, we can find the medians of 3 groups

Group A has a median of 18Group B has a median of 21Group C has a median of 15

=> the median of group A is less than the median of group B and greater than the median of group C.

Hope it will find you well.

Correct Answer: Fill in the blanks: Answer in ( )

Group A has a median of ( 19 )

which is (LESS THAN)

Group B and (GREATER THAN GROUP C)

Group B has the (LARGEST IQR)

there is a high outlier for ( GROUP A AND GROUP C)

and a low outlier for (GROUP B)

Step-by-step explanation: That is the correct answer, hope that helped !

Mrs. Williams estimates that on average her family recycles 12.6 pounds of plastic each month. In a year's time, how much landfill space will Mrs. William's family save if 1 pound of plastic saves 7.4 yards of landfill space?
a.
932.40 yards
b.
93.24 yards
c.
1,118.88 yards
d.
7.77 yards

Answers

Answer:B

Step-by-step explanation:

Final answer:

Mrs. Williams' family recycles 151.2 pounds of plastic in a year, and since 1 pound of plastic saves 7.4 yards of landfill space, their recycling efforts save approximately 1,118.88 yards of landfill space annually.

Explanation:

To find out how much landfill space Mrs. Williams family can save in a year, we can start by calculating how much plastic they recycle in a year. This can be done by multiplying the monthly amount by the total number of months:

12.6 (pounds per month) x 12 (months per year) = 151.2 pounds of plastic

Next, we use the fact that every pound of plastic recycled saves 7.4 yards of landfill space. So, we multiply the total pounds of plastic by the amount of space saved per pound:

151.2 (pounds of plastic) x 7.4 (yards per pound) = 1,118.88 yards

Therefore, Mrs. Williams family can save approximately 1,118.88 yards of landfill space per year by their recycling efforts.

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Which function, gor h, is the inverse function for function f?
A. the function gbecause the graphs of fand gare
symmetrical about the line y= x
CB. the function g because the graphs of fand gare
symmetrical about the x-axis
C. the function h because the graphs of fand hare
symmetrical about the line y= x
D. the function h because the graphs of fand hare
symmetrical about the x-axis

Answers

The correct answer is D. The function h because the grabs fans hate

Given: PRST square
PMKD is a square
PR = a, PD = a
Find the area of PMCT.
PLEASE HELPP

Answers

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

Step-by-step explanation:

This is a much more interesting problem than what we usually see here.

Let's just start by assuming a=1 so we have two unit squares.

PMC and PTC are two congruent triangles, each right triangles with one leg of length 1 and a shared hypotenuse PC.

We'll put it on the grid at P(0,0), T(1,0).

Angle TPM is 45 degrees and PM=1 so

M(cos 45, sin 45) = M(1/√2, 1/√2)

MK has slope -1, thru M, so is

y = -x + √2

C's on that line at x=1, so C's x coordinate is 1, so its y coordinate is √2 - 1

C(1, √2 - 1)

OK, that's enough to compute the area.

P(0,0), T(1,0), C(1, √2 - 1), M(1/√2, 1/√2)

area(PMCT) = area(PTC) + area(PCM)= 2 area(PTC)

The area of a right triangle is half the product of its legs.

area(PMCT) = 2 (1/2) (1) ( √2 - 1)

area(PMCT) =  √2 - 1

When we have sides a, the area scales by a²,

Answer: a²(√2 - 1)

can anyone help me with this question??

Answers

Answer:

The answer is B

Step-by-step explanation:

You don't need elimination for this when you plug it in 10(-5) is equal to -50 add 5 to that to get -45

and -5(2)=-10 +5 to get -5 showing that b works

8-10x=7+5X
4-10x=3+5x

Answers

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

It's been a long time since you fell in love

You ain't coming out your shell, you really ain't been yourself

Tell me what must I do (do tell, my love)

'Cause luckily I'm good at reading

I wouldn't bug him, but he won't stop cheesin'

And we can dance all day around it

If you front then I'll be bouncing

If you want it scream and shout it, babe

Before I leave you dry

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so (yeah)

Let me check my chest, my breath right quick (ha)

He ain't never seen it in a dress like this (ah)

He ain't never even been impressed like this

Prolly why I got him quiet on the set like zip

Like it, love it, need it bad

Take it, own it, steal it, fast

Boy, stop playing, grab my az

Why you actin' like you shy?

Shut it, save it, keep it, pushin'

Why you beating 'round the bush?

And knowing you want all this woman

Never knock it 'til you try (yeah, yeah)

All of them betches hating I have you with me

All of my nigzas saying you mad committed

Realer than anybody you had, and pretty

All of that body-ody, the az and tizys

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

The answer is x= 1/5. Use Photomath it helps a lot.

If a pair of dice is rolled what is the probability that the first die rolls 4 and the second die rolls 6

Answers

Answer:

there is a 1 in 6 chance, so 1/6. The probability of rolling any side is 1/6.

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

The odds of rolling a four on a dice are 1/6. The odds of rolling a six are also 1/6. So if you roll two die to find the probability you multiply the two numbers probability together which would equal 1/36.

40 POINTS! PLEASE HELP! NEED ANSWERS FAST! BRAINLIEST FOR THOSE WHO ANSWER ALL QUESTIONS!

1. This table represents a function.

Plot points to represent the function as a graph.

x y
−4 10
0 8
4 6
10 3

2. What is the apparent solution to the system of equations?

y=−2x+3y=13x−4

Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the Point tool.

3. John bought 6 dumplings for $3.00.
Let x represent the number of dumplings purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.

4. Which expression is equivalent to 4−2/2−^3?

−16

−8

8

16

Answers

Answer:

For numer 1, you will need to plot that on a graoh your own.

2. graph points 2,3 and -6,-4

3. graph points 3,1 and 6,1

4.-8

Step-by-step explanation:

Answer:

i can only give you one question which is number 3

Step-by-step explanation:

We know that each dumpling cost $3, and x represents the number of purchased dumplings. So the total cost of some purchased dumplings will be 3x. Since we also know that y also represents the total cost, we can equate them to find the equation of our proportional relationship:

y=3x

Now that we have our equation, to graph our line we are going to choose tow values for x, then get the values of y for each value of x, and then join the tow pair of points using a line:

- If x=6, y=3(6)=18, so our first pair is (6,18)

- If x=0, y=3(0)=0, so our second pair is (0,0).

Hope this helpsBrainliest plzAsk questions

In a class, 10 out of 25 students ride the bus. What percent of students ride the bus?

Answers

Answer:

25%

Step-by-step explanation:

Answer:

10/25= 45%

45% is the answer

Step-by-step explanation:

For a biology assignment, Josephine records the height of a plant over
time. The plant was 12 cm tall when she started the assignment. She
notices that the plant grows 2 cm every week,
What point is on her graph ?

Answers

Answer:

3,18

Step-by-step explanation:

Which best describes the range of the function f(x)=2(1/4)x after it has been reflected over the y-axis

Answers

Answer: all real numbers greater than zero

Step-by-step explanation: If you graph this function then you realize that the line does not ever reach 0 on the y axis but instead 'evens out' which means that any number greater than 0 will be the range of the above stated function

Answer: C. All real numbers greater than zero

Step-by-step explanation:

Omg 1+1 totally doesn’t even 2
















Lemme stop acting slow

Answers

1+1=2 :)
.....................
Yaaaaa better be luck the FBI is not watch rn

evaluate the expression for q=8
7q

Answers

Answer:

The answer is 56.

Step-by-step explanation:

7 * 8 = 56

Andrea’s savings account has a balance of $3668. After 3 years, what will the amount of interest be at 4% compounded quarterly?

Answers

Answer: 10%

Step-by-step explanation:

Answer:

its $465.19 (D) incase anyone still needs it

Step-by-step explanation:

just do it

Gwen is a makeup artist and carries a lot of makeup around with her. She has 8 cosmetics in her bag, including 2 lip glosses.

What is the probability that a randomly selected makeup item from her bag will be a lip gloss?

!!!Write your answer as a fraction or whole number!!!

Answers

Answer:

2% hope it helpssss

Step-by-step explanation:

Answer:

2/8 or 1/4

Step-by-step explanation:

So pretty much you just turn the number into a fraction

How does the shape of a cross-section of a 3D figure parallel to the base relate to the volume of the 3D figure?

Answers

Answer:

The volume of  a 3D figure can be determined by the sum of  all the cross-sections of that 3D figure parallel to the base

Step-by-step explanation:

We need to understand what a cross-section of a 3D figure ?

A cross section is the shape we get when cutting straight through an object

and in geometry it is the shape made when a solid is cut through by a plane.

=> the cross section is parallel to the base of the figure.

So that the area of the cross-section is determined by its shape

Hence, The volume of  a 3D figure can be determined by the sum of  all the cross-sections of that 3D figure parallel to the base  

The shape of a cross-section parallel to the base of a 3D figure determines its volume, as the volume is calculated by multiplying this area by the figure's height. For parallelepiped figures, the cross-sectional area is found using the magnitude of the cross product of base side vectors.

Understanding the relationship between the shape of a cross-section and the volume of a three-dimensional figure involves recognizing that for solids with parallel sides, such as a cylinder or parallelepiped, the cross-section parallel to the base will have the same shape as the base. When this cross-section is multiplied by the height of the figure, the result is the volume of that shape (V = Ah). In terms of vectors representing the base in three-dimensional space, for a parallelepiped, the cross-sectional area can be found by the magnitude of the cross product of vectors given by the sides forming the base.

Moreover, regardless of changes in length or width, as shown in Table 3, if a volume is kept constant but the shape is altered to be elongated or flattened, the shape of the cross-section parallel to the base still determines the volume through the base area times the height formula.

This is significant in various fields, including physics, engineering, and architecture, where understanding the volume and dimensions of structures and shapes is crucial.

A small bar of gold measures 40mm by 25mm by 2mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the voulme in cubic millimeters and the weight ounces of the small bar of gold.

Answers

Answer:

Look below for answer!

Step-by-step explanation:

Hope this Helps!!!

⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇

so 5(4d+8) = 40 so what does d= ?

Answers

d = 2. hope this helps :)

Answer:

d = 0.

Step-by-step explanation:

First, use the distributive property and distribute the 5.

The equation is now 20d + 40 = 40.

Subtract 40 from both sides to isolate the variable.

The equation is now 20d = 0.

Now you're thinking, this can't be possible! But really, 0 / 20 is possible. The answer is d = 0.

which measurement is equal to 6 kilograms?
6,000 grams
600 milligrams 600 grams
600milligrams
HURRY PLZ HELP I WILL GIVE BRAINLY

Answers

The measurement which is equal to 6 kilograms is; 6,000 grams.

In measurements, ground units are sometimes supported with prefixes to express fractions or multiples of the ground units.

On this note, the ground unit grams when supported by kilo- means; 1000 grams.

Ultimately, the measurement which is equal to 6 kilograms is 6,000 grams.

Read more on kilo- measures;

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Tickets to a circus cost $38.50 each. the glee club bought 70 tickets for saturdays circus and 21 tickets for sunday's circus. how much did the glee club pay in all for the tickets's?

Answers

Answer:

$878.5

Step-by-step explanation:

that is if the tickets for saturday & sunday are both $38.50

Anna opened a bank account with a deposit of $256 dollars. After one week, she has $280 in her account. After two weeks, she had $304, and after three weeks she had $328. If this pattern continues, how much will Anna have in her account after 18 weeks?

Answers

252 dollars. (First you find how much is being added each week, it’s 24 dollars, then you multiply it by 18, and get 252.)
Other Questions
What scientific principle explains why air is moving upward in the tropics - an area of warmertemperatures (and carrying pollutants with it)? (See right image). Which of the following does Conrad use as a metaphor for imperialism?O A. It is a "black shadow of disease and starvation, lying confusedly inthe greenish gloom."B. It is "a flabby, pretending, weak-eyed devil of a rapacious andpitiless folly."C. It is a man-of-war inexplicably "firing into a continent."D. It is a "miracle because it looks good in the midst of the hot,sticky, sweaty jungle. Investigate the link between Pascal's triangle and 2 and its powers Ice melting is not a chemical change because __________.A) a new reactant is formedB) a new substance is not formed C) a precipitate is no present D) there is increased activation energy What is the probability that a red 10 is drawn in a regular deck of cards? Explain why iodine is brittle in its solid state A tailor pays $10.25 per yard for wool and pays $5.75 per yard for cotton. He bought 4.8 yards of cotton and spent a total of $85.00 on thetwo types of fabric.How many yards of wool did he buy?A. 4.1 yardsB. 5.6 yardsC. 6.2 yardsD. 8.2 yards What was George H.W. Bushs response to the bleak economic outlook? The Alpha Company produces toys for national distribution. Standards for a particular toy are: Materials: 12 ounces per unit at 56 per ounce. Labor: 2 hours per unit at $2.75 per hour. During the month of December, the company produced 1,000 units. Information for the month follows: Materials: 14,000 ounces were purchased and used at a total cost of $7,140. Labor: 2,500 hours worked at a total cost of $8,000. Calculate the labor rate variance and the labor efficiency variance, respectively. Rate Variance Efficiency Variance The text feature can best be described asO a diagramO a map.O an illustrationO a photograph. Two narrow slits 0.02 mm apart are illuminated by light from a CuAr laser ( = 633 nm) onto a screen. a) If the first fringe is 0.2 cm away from the central fringe, what is the screen distance? b) What is the angle of the first dark fringe? c) How many fringes are visible? d) What wavelength would a laser have to provide a fringe that coincides (lines up) with the third order fringe of the CuAr laser? Which number on the map labels the area the US acquired in the Gadsden Purchase? Which functions represent a horizontal translation to the left of the parent function f(x) = In x?Check all that apply.g(x) = 3 In(x - 1) + 6h(x) = 3 In(x + 3) + 1r(x) = -3 In(x + 1) + 3s(x) = -3 In(x) - 3p(x) = In(x + 2) - 2 How do us businesses use low transportation costs to save money on manufacturing OptiLux is considering investing in an automated manufacturing system. The system requires an initial investment of $4 million, has a 20-year life, and will have zero salvage value. If the system is implemented, the company will save $500,000 per year in direct labor costs. The company requires a 10% return from its investments. 1. Compute the proposed investments net present value. 2. Using your answer from part 1, is the investments internal rate of return higher or lower than 10%? n the fruit fly, Drosophila melanogaster, a spineless (no wing bristles) female fly is mated to a male that is claret (dark eyes) and hairless (no thoracic bristles). Phenotypically wild-type F1 female progeny were mated to fully homozygous (mutant) males, and the following progeny (1000 total) were observed. Phenotypes Number Observed spineless 441 wild 27 claret, spineless 31 claret 1 claret, hairless 430 hairless, claret, spineless 32 hairless 38 hairless, spineless 0 Which gene is in the middle? Your answer should be a polynomial in standard form. ( 2 h + 9 ) ( 9 h 2 ) = (2h+9)(9h2)= The Constitution was most detailed in explaining the duties of the:A. Courts.B. Congress.C. President.D. Army For a Christmas and New Year's week, the National Safety Council estimated that 500 people would be killed and 25,000 injured on the nation's roads. The NSC claimed that 50% of the accidents would be caused by drunk driving. A sample of 120 accidents showed that 67 were caused by drunk driving. Use these data to test the NSC's claim with LaTeX: \alpha=0.05. What is the value of the test statistic used for this? Which played a major role in altering wind patters and ocean currents?volcanic eruptionsice agesmovement of continentssolar flares Steam Workshop Downloader