Mario walked 250 ft south then 430 ft west. How far is he from the starting point? Round off answers to the nearest hundredths place.

Answers

Answer 1

Answer:

497.39 FEET

Step-by-step explanation:

Please check the attached image for a diagram of the bearings

This question can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

we want to determine the value of c

250² + 430² = 247400

c = √247400 = 497.39 feet

Mario Walked 250 Ft South Then 430 Ft West. How Far Is He From The Starting Point? Round Off Answers

Related Questions

Lauren has a 16-foot ladder. The safety instructions recommend the base of
the ladder be placed 6 feet from the base of the wall. How high will the ladder
be able to reach up the wall?
Round your answer to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

You can use Pythagoras theorem for this

[tex]16^{2}[/tex] = [tex]6^{2}[/tex] + [tex]x^{2}[/tex]

256 = 36 + [tex]x^{2}[/tex]

220 = [tex]x^{2}[/tex]

[tex]\sqrt{220}[/tex] = x

14.8323.... = x

we also have to remember that it could be negative, but,  negative distances are just the same distance but in the other direction, so they are the same length here.

14.8 feet = x    to the nearest 10th

What is the mean of 4 and 25?

Answers

The geometric mean of 4 and 25 is 10.

When a positive value is repeated in either the means or extremes position of a proportion, that value is referred to as a geometric mean (or mean proportional) between the other two values.

The Geometric Mean (GM) is the average value or mean that, by taking the product of a set of numbers' values as its root, indicates the collection's central tendency.

Let x = the geometric mean.

4/x = x/25 (by the definition of geometric mean)

x²=100

x=√100 (cross-product property)

x=10

Hence, The geometric mean of 4 and 25 is 10.

Complete question: What is the geometric mean of 4 and 25?

To know more about geometric mean visit: brainly.com/question/29199001

#SPJ4

What is the linear inequality symbol?

Answers

The symbol of a linear inequality is: " ≤ " or " ≥ "

What is a linear inequality equation?

The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.

It's a line with a shaded side on one side to show which xy pairings are the inequality's solutions.

For example -

Let us take a equation, 4x + 8y ≤ -24

Now, solve the above equation in the form of slope-intercept.

4x + 8y ≤ -24

or, 8y ≤ - 4x - 24

or, y ≤ -(1/2)x - 3

Now, the graph becomes according to the slope-intercept form is:

Here we noticed that,

This side of the inequality is shaded below (instead of above) because y is lower than (or equal to) the other side.

Because working with a "or equal to" inequality, draw a solid line rather than a dashed one. Points on the solid line denote locations where the inequality has been solved.

To know more about linear inequality refer to:

brainly.com/question/11234618

#SPJ4

which expression represents the perimeter of
8x - 43
5x+12

Answers

Answer:

Step-by-step explanation:

The perimeter is P = 26x - 62.

P = 2(L + B)

P = 2(5x + 12 + 8x - 43)

P = 2(13x - 31)

P = 26x - 62

What if limit is infinity minus infinity?

Answers

If the limit is infinity minus infinity it is undefined because the result would be a number that is not a real number.

In mathematics, a limit is the value that a function approaches as the independent variable approaches a certain value. Limits are used to study the behavior of a function as the independent variable approaches a certain point.When the limit is infinity minus infinity (∞ - ∞), it is undefined because the result is not a real number. Infinity minus infinity is an indeterminate form, which means that the limit could approach any real number or it could approach infinity or negative infinity. In other words, the result of infinity minus infinity is an unknown quantity.To understand why infinity minus infinity is undefined, you must understand the concept of infinity. Infinity is not a number, but rather an idea of something that is larger than any number. Therefore, when subtracting infinity from infinity, there is no set answer since the two concepts are not numbers. To calculate the limit, the two infinities must be replaced with real numbers. In conclusion, when the limit is infinity minus infinity, it is undefined because the result is not a real number. Infinity is an idea and not a number, so the result of infinity minus infinity can not be determined. To calculate the limit, the two infinities must be replaced with real numbers.

Learn more about real number here

https://brainly.com/question/10547079

#SPJ4

What are the 4 inverse operations?

Answers

The four Inverse operations are :

Addition and SubstractionMultiplication and DivisionSquare and Square RootCube and Cube root

What are inverse Operation ?

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. In most cases, a number's inverse refers to its reciprocal, as in x /1 Equals 1 / x. One results from multiplying a number by its reciprocal, or inverse.

To produce a result equal to 0, add the original number and the additive inverse by simply reversing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.

A multiplicative inverse or reciprocal for a number x is a number that, when multiplied by x, produces the multiplicative identity, or 1. It is represented by 1/x or x/1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number.

Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.

The definition of a cube is the process of multiplying a number by itself three times, while a cube root is the opposite of a cube. Alternately, we may state that a number's cube root gives us a number that, when cubed, gives us the same number and is referred to as a perfect cube.

To learn more about inverses refer to :

https://brainly.com/question/22645833

#SPJ4

What is the volume of 6 cube?

Answers

Answer:

The number of unit cubes are 6, its volume is 6 cu cm.

Step-by-step explanation:

Find the critical numbers of the function on the interval 0≤ θ < 2π.
f(θ) = 2cos(θ) +(sin(θ))^2

Answers

Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.

Therefore, the answer is 0 and π.

f(θ) = 2cos(θ) +(sin(θ))²

f'(θ) = -2sin(θ) +2sin(θ)cos(θ)

Critical values of f are points at which f' is zero or not defined.

For all values of θ, we can find that f'(θ) is defined.

f'(θ) = 0

-2sin(θ) +2sin(θ)cos(θ) = 0

cos(θ) - 1 = 0 or sin(θ) = 0

cos(θ) = 1

θ = nπ, n = 0, 1, 2, ...

sin(θ) = 0

θ = nπ, n = 0, 1, 2, ...

Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.

2π is not there as it is not included in the interval.

To know more on critical values

https://brainly.com/question/36886

#SPJ4

IN THE FIGURE TRIANGLE ABE IS CONGURENT TO TRIANGLE ACD SHOW THAT TRIANGLE ADE AND TRIANGLE ABC ARE SIMILIAR

Answers

The triangle ADE is similar to the triangle ABC.

What are congruent triangles?

The triangles are congruent if two sides and the included angle of one triangle match the corresponding sides and angle of another triangle.

It is given that triangle ABE is congruent to triangle ACD, which can also be written as ΔABE≅ΔACD.

So, according to the Corresponding parts of Congruent triangles (CPCT) property:

AB=AC...........(1)

AE=AD...........(2)

By dividing 2 and 1 we will get:

[tex]\frac{AD}{AB} =\frac{AE}{AC}[/tex]........(3)

In the triangles ADE and ABC, ∠A is the common angle and according to this and 3,

ΔADE is similar to ΔABC by side angle side criterion.

Therefore hence it is proved that ΔADE and ΔABC are similar.

To learn more about the similarity of triangles, refer to the link below:

https://brainly.com/question/21874653

#SPJ4

What is the value of K the line?

Answers

As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.

What is a line?

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

What is slope of a line?

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.

To learn more about lines visit:

brainly.com/question/24524587

#SPJ4

What is the slope of a 30 degree angle?

Answers

The slope of an angle 30 which in the positive x direction is tanФ = tan30= 1/√3

Slope:

Slope describes the steepness of a line and it also remains constant with the line it also gives us information about the direction. If the slop is negative then the line will be in the negative x-axis if the slop is positive the line will be in the positive x-direction.

A slope of a line is the change in the y coordinate w.r.t the change in the x coordinate.

m = Δy/Δx

m=tan θ = Δy/Δx

m=tan 30 = 1/[tex]\sqrt{3}[/tex]

Therefore the slope of a line that makes an angle of 30 with the positive x direction will be 1/√3

Learn more about slope:

https://brainly.com/question/3493733

#SPJ4

For what values of x and y are the triangles to the right congruent by HL?

Answers

Based on the Hypotenuse-Length Theorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:

x = 8

y = 4

What is Recall?

Two right triangles are congruent to each other by the Hypotenuse-Length Congruence Theorem (HL) if the hypotenuse length and one leg of a right triangle is congruent to the hypotenuse length and leg of the other right triangle.

Thus, for both right triangles to be congruent, it means that their hypotenuse and one of their corresponding legs must be equal to each other.

Use this to create two equations and solve to get the value of x and y.

Equal Hypotenuse:

(eqn. 1)

Equal legs:

(eqn. 2).

Find the value of y, by substituting x = (y + 4) into eqn. 1.

(eqn. 1)

Substitute

Find the value of x, by substituting y = 4 into eqn. 2.

X=y+4

X=4+4

X=8

Therefore, based on the Hypotenuse-Length Theorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:

x = 8

y = 4

Learn more about  Congruence click-

https://brainly.com/question/25425647

#SPJ1

Students were surveyed about their preference between dogs and cats. The following two-way
table displays data for the sample of students who responded to the survey.
How many students in the sample were female?
students

Prefers dogs: male 30, female 20
Prefers cats: males 10, females 26
No preference: males 2, females 6

Answers

Answer:

46 students

Step-by-step explanation:

20 female prefers dogs + 26 female prefer cats + 6 female no preference = 46 female total.

5(2x + 1) = 50 I am struggling please help

Answers

Answer:

x = 4.5

Step-by-step explanation:

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we need to get rid of the 5 that is multiplying the expression 2x + 1.

One way to do this is to divide both sides of the equation by 5. This gives us:

(5(2x + 1))/5 = 50/5

Simplifying the left side of the equation gives us:

2x + 1 = 10

Now, we just need to get x by itself on one side of the equation. To do this, we can subtract 1 from both sides of the equation. This gives us:

2x = 9

Finally, we can divide both sides of the equation by 2 to solve for x. This gives us:

x = 9/2

Therefore, the solution to the equation is x = 9/2, or x = 4.5.

I hope this helps! Let me know if you have any other questions.

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

5(2x + 1) = 50

10x + 5 = 50

10x = 50 -5

x = 45 /10

x = 9/2 or 4.5

I hope my answer helps you.

What information should you check for when a figure is congruent?

Answers

 Two shapes are congruent if they have the same shape and size. We can also say if two shapes are congruent, then the mirror image of one shape is the same as the other.

             

  Geometric figures that are congruent share the same size and shape. In other words, figures are congruent if they can be transformed into one another through a series of transformations, rotations, and/or reflections. When the sides and angles of two triangles match, the triangles are said to be congruent. 

Triangles that have comparable sides and equal angles are said to be congruent. Indicating congruence is the sign “≅”.

identical in size and shape.  

Congruent refers to objects that are exactly the same size and shape. Even if we flip, turn, or revolve the shapes, the shape and size must remain the same.

For  such more questions on Congruent :

brainly.com/question/12413243

#SPJ4

What is the missing term?

Answers

Answer:

5

Step-by-step explanation:

-5*-1 = 5

which point of concurrency is determined by the three altitudes of any triangle?

Answers

Answer:

orthocentre

Step-by-step explanation:

A triangle's three altitudes intersect at the orthocentre

What steps transform the graph of y=x 2 to y=−2(x−1) 2 +5?

Answers

The function y = - 2(x - 1)² + 5 is reflected along the y-axis, shifted horizontally to the right by 1 unit, and then shifted vertically by 5 units.

What are some rules of function transformations?

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, The parent function is y = x² which is quadratic.

Now, y = - 2(x - 1)² + 5,

First is reflected along the y-axis (-) sign,

(x - 1) is shifted by 1 unit to the right horizontally and (+5) is shifted vertically 5 units up.

learn more about the transformation of functions here :

https://brainly.com/question/13810353

#SPJ2

A workers earnings E are a function of the number of hours N worked at a rate of $8.75 per hour. Write a function rule that represents each situation

Answers

The function rule that represents each situation is $8.75 * n.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Here, we have

A worker's earnings E are a function of the number of hours N worked at a rate of $8.75 per hour.

We have to create an incognita that represents a worker's salary based on how many hours he or she works.

G: Worker's salary

n: number of hours worked

G=f(n)

Then using the data that the worker earns $8.75 per hour worked, we must formulate f(n) so that with this data we can calculate G.

G = f(n) = $8.75 * n

If the worker performs 1 hour of work (n=1), then his salary will be:

G = $8.75 * 1 = $8.75

If the worker performs 10 hours of work (n=10), then his salary will be:

G=$8.75 * 10 = $87.5

Hence, the function rule that represents each situation is $8.75 * n.

To learn more about the function from the given link

https://brainly.com/question/25638609

#SPJ1

A hardware store rents vacuum cleaners that customers may use for part of a day before returning. The function f(x) = 6x + 14 models the total rental cost of a vacuum cleaner.

Answers

If the function for the total rental cost for vacuum cleaner is f(x) = 6x + 14 , then the cost for using it for 10 hours is  $74   .

A hardware store rents vacuum cleaner for a part of a day ,

the function that models the total rental cost for the vacuum cleaner is given as : f(x) = 6x + 14 ;

where , x is the number of hours the cleaner is used .

given that the vacuum cleaner is used for 10 hours , So x = 10 .

the total cost is f(10) = 6×10 + 14  ;

f(10) = 60 + 14 ;

f(10) = 74 ;

Therefore , the total rental cost for using the vacuum cleaner for 10 hours is $74  .

The given question is incomplete , the complete question is

A hardware store rents vacuum cleaners that customers may use for part of a day before returning. The function f(x) = 6x + 14 models the total rental cost of a vacuum cleaner. What is the total cost for using the vacuum cleaner for 10 hours  .

Learn more about Functions here

https://brainly.com/question/21129572

#SPJ4

What is the domain and range calculator?

Answers

The domain and range calculator is a tool that allows us to enter the necessary data and have it compute and output the domain and range.

What are domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input.

After we enter an x value, the function outputs this sequence of values.

We simply solve the equation y = f to determine the values of the independent variable x and obtain the domain (x).

Simply put, after determining g's domain, x=g(y) will calculate the function's range (y).

The domain and range calculator is a tool in which we put in the required values and it calculates and gives out the domain and range as an output.

Therefore, the domain and range calculator is a tool that allows us to enter the necessary data and have it compute and output the domain and range.

Know more about the domain and range here:

https://brainly.com/question/1942755

#SPJ4

What are two ways sequences can be defined?

Answers

The two ways that sequences can be defined include the following: Arithmetic Sequences and Geometric Sequences.

What is a sequence in mathematics?

A sequence is defined as the collection of items in such a way that repetitions can be observed.

There are two major ways the sequence can be defined in arithmetics and this includes the following:

Arithmetic Sequences: This is the type of sequence whereby every term is created by adding or subtracting a definite number to the preceding number

Geometric Sequences: This is the type of sequence whereby every term is obtained by multiplying or dividing a definite number with the preceding number.

Learn more about sequence here:

https://brainly.com/question/28354530

#SPJ1

luke went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. luke has had good luck at blackjack in the past, and he actually got three blackjacks with queens in a row the last time he played. because of this lucky run, luke thinks that queens are the luckiest card. the dealer deals the first card to him. in a split second, he can see that it is a face card, but he is unsure if it is a queen. what is the probability of the card being a queen, given that it is a face card? answer choices are in a percentage format, rounded to the nearest whole number.

Answers

The probability of the card being a queen, given that it is a face card is; 33%

How to find the probability of selection?

The probability of an event is simply the number of favorable outcomes divided by the total number of outcomes possible.

In a  standard deck of cards, we know that there are 52 cards in total and that out of those 52 cards, there are 12 face cards.

Now, One-third of those face cards are always queens, due to the fact that there are 4 queens in a deck of cards.

This means that the probability using the formula of;

Probability = number of favorable outcomes/number of expected outcomes

Probability = 4/12 = 1/3 = 0.33 = 33%

Therefore, we conclude that there is a 33% chance that the card Luke holds is a queen.

Read more about probability of selection at; https://brainly.com/question/28992119

#SPJ1

At which root does the graph of f x x 4 6 * x 7 5 cross the X axis?

Answers

The graph of the function f(x) = x^4 - 6*x^7 + 5 crosses the x-axis at x = 0 and x = 5.

The graph of the function f(x) = x^4 - 6*x^7 + 5 is a polynomial function. The roots of a polynomial are the values of x for which the polynomial is equal to zero. To find the roots of the polynomial, we must solve the equation f(x) = 0. To solve this equation, we will use polynomial division.

We will divide the polynomial by (x - 5), which will give us the following result:

f(x) = x^4 - 6*x^7 + 5 = (x - 5)(x^3 + 7x^2 - 5x + 25).

We can now solve for the roots of the polynomial. Since (x - 5) is a factor of the polynomial, the root is x = 5. We can also solve for the other roots by setting the remainder of the polynomial division equal to 0. This gives us the equation x^3 + 7x^2 - 5x + 25 = 0. This equation can be solved by factoring and the result is x = 0, 1, and 5. Therefore, the graph of f(x) = x^4 - 6*x^7 + 5 crosses the x-axis at x = 0 and x = 5.

f(x) = x^4 - 6*x^7 + 5

Divide f(x) by (x-5):

f(x) = (x-5)*(x^3 + 7x^2 - 5x + 25)

Set remainder equal to 0:

x^3 + 7x^2 - 5x + 25 = 0

Factor:

x^3 + 7x^2 - 5x + 25 = (x - 5)*(x^2 + 5x + 5)

x = 0, 1, 5

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Please help and show work, will give lots of points!

Lourdes is reading a biography for her history class. She reads 30 pages each day. After 9 days, Lourdes has read 3/5 of the biography. Write a linear equation to represent the number of pages Lourdes still has to read after x days.
y = []x + []
(Use above format to write the equation.)

What does the y-intercept of this linear equation represent?
A. Pages already read
B. Pages in book
C. Pages read each day
D. Days to finish

Answers

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Earning Commission Sales Commision Rate Commission ​$750 3​% ​

Answers

The commission for $750 at 3% is:


What is commission?

Commission can be defined as the fees or extra fees that is been paid to someone for a job well done or for rendering a service.

Now let find the commission amount using this formula

Commission = Earnings × rate

Where:

Earnings = $750

Rate =3%

Commission = $750 × 3%

Commission = $22.50

Therefore the commission is $22.50.

Learn more about commission here:https://brainly.com/question/957886

#SPJ1

The complete question is:

Find the commission.

Earning Commission

Sales Commission Rate Commission

$750

3%

?

The commission is $

A and B can finish a work in 30 days they worked for it for 20 days and then B left the remaining work was done by alone in 20 more days a alone can finish the work in​

Answers

Answer:

A could finish the whole work in 60 days

Step-by-step explanation:

Both A and B can finish the work in 30 days.

That means both A and B can finish 1/30 part of the work in 1 day.

So in 20 days, both A and B can finish 20/30 = 2/3 part of the work.

Both A and B worked together for 20 days and completed 2/3 part of the work. Now 1/3 part of the work is remaining.

But after 20 days B left the work. Now A finished the remaining 1/3 part of the work alone.

Given A has completed the remaining 1/3 part of the work in 20 days. We are asked to find in how many days A could finish the whole work.

Let A could finish the whole work in x days.

That means A could finish 1/x part of the work in 1 day.

So in 20 days, A could finish 20(1/x) = 20/x part of the work.

But it's given that A finished the remaining 1/3 part of the work in 20 days.

Thus we are able to equate 20/x and 1/3.

[tex]\longrightarrow\dfrac{20}{x}=\dfrac{1}{3}[/tex]

[tex]\Longrightarrow\underline{\underline{x=60}}[/tex]

Hence A could finish the whole work in 60 days.

Does anyone know the answer to this?

Answers

Answer: I think it is between 3rd and 4 lines of number 2 and 3

Step-by-step explanation:

Because it line here is 0.20

so 2.7 will be some where between 3rd and 4 lines of number 2 and 3

A triangular pendant has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm) for the third side?.

Answers

According to Pythagoras theorem, the value of the third side of the triangle is 38.6mm

In math Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

Here we have given that the triangular pendant has two sides of length 23 mm and 31 mm.

And we need to find the possible lengths (in whole mm) for the third side.

Here in the given question, we have the values of the two sides are 23mm and 31mm.

Then we have to apply the values on the Pythagoras theorem formula,

=> hypotenuse² = adjacent² + opposite²

Now, we have to apply the values as opposite and adjacent on it, then we get,

=> hypotenuse²= 23² + 31²

=> hypotenuse² = 529 + 961

=> hypotenuse² = 1490

Therefore, the value of the third side is 38.6mm

To know more about Pythagoras theorem here.

https://brainly.com/question/343682

#SPJ4

what is 777777900000/244576575

Answers

Answer:

31800.997945142

or

31800 24407400⁄24457657

S

Other Questions
which of the following solutions will produce a buffer? assume a total volume of volume of 1.0 liter. Debt consolidation loans are very appealing becausethey offer liquidation to those who are in good standing with their creditors.they offer hope to those who can't keep up with their current payment schedules.they offer relinquishment of all debts and financial obligations to those who can't keep up with their current payment schedules.All of thesewhich option?? Hart Company made 3,040 shelves using 22,040 pounds of wood costing $271,092. The company's direct materials standards for one shelf are 8 pounds of wood at $12.20 per pound.AQ = Actual QuantitySQ = Standard QuantityAP = Actual PriceSP = Standard Price1. Compute the direct materials price and quantity variances along with the total direct materials variance.2. Hart applies management by exception by investigating direct materials variances of more than 5% of actual direct materials costs. Which direct materials variances will Hart investigate further? jang-mi owns her own cleaning business and posts on local message boards online to advertise her business. customers can reach out to her directly through her posts and can ask any questions they might have before requesting her services. this is an example of Which of the following is a characteristic of a variable annuity? What is the difference between Athens and Sparta? use the function f and the given real number a to find (f -1)'(a). (hint: see example 5. if an answer does not exist, enter dne.) f(x) Two athletes start from the same point and move on a closed track of 600m. If they run in the samedirection at speeds 20m/s and 30m/s, when will they cross each other?Mark one or more correct options(A) 45 sec(B) 1 min(C) 1 min 30 sec(D) 3 min(E) 5 min How did Spanish hope to get rich from the forced labor of Indians and Africans? What is corporate taxation quizlet? What are examples of homologous structures and how are they evidence of evolution? When palpating a patient's pulse, you note that there is a short interval between pulsations. This indicates that the pulse is:A. slow.B. rapid.C. irregular.D. thready What is frequency give its formula and units? Write an equation of the line with the given slope and y-intercept.m = 0; (0, 2)Group of answer choicesA. x = 2B. y = 0C. y = 2xD. y = 2 the radio and newspaper industries are typically structured as Can you file federal taxes in person? How do you tell if a triangle is similar or congruent? if a cosmetics company is selling an eye shadow priced at $11.99 rather than $12, it is using: _____. A patient requires an iv antibiotic to be made by the pharmacy. the requirements for the compound would be found in? A 2-pint bottle of water costs $2.60. what is the price per cup?