A recipe for bread calls for 4 1/4 cups of flour. Which expression gives the number of cups of flour needed if you want to make 3 1/2 batches of this recipe?

Answers

Answer 1

Answer:

3 1/2

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

4 1/4. 3.5

1.1


Related Questions

A construction company charges $50, per square feet for building floors. How much will it cost to build a floor with radius 10 ft. use the dollars sign in your answer. Use π = 3.14

Answers

Answer:

$15700

Step-by-step explanation:

To find the cost, you multiply $50 by the area of the floor.  The floor must be a circle ("radius"), so to find the area of a circle, use the formula[tex]A=\pi r^2 \\ A=\pi(10)^2 \\ A=(3.14)(100)=314\text{ square feet}[/tex]

Multiply 314 sq. ft. by the cost per sq. ft.

314 x 50 = 15700

Answer:

69

Step-by-step explanation:for the boys

How can you use the Pythagorean Theorem to solve real-world problems?
You can use the Pythagorean Theorem to find missing ________ (angles or lengths) in objects that are_________. ( squares, right triangles, or equilateral Triangles)

Answers

1st answer is lengths and 2nd answer is right triangles

You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.

What is Pythagorean Theorem?

The Pythagorean Theorem is a mathematical principle that relates to right triangles. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.

The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

By rearranging the formula, you can solve for the missing length when given the lengths of the other two sides.

This can be applied to real-world problems involving measurements of objects or distances, such as determining the length of a ladder needed to reach a certain height on a wall or calculating the distance between two points on a map.

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The explicit formula for the geometric sequence -1/9, 1/3, -1, 3, -9, ... is -1/9(-3)^x-1 . What is the common ratio and recursive formula for this sequence

Answers

Answer:

r=3[tex]\left\{\begin{array}{ccc}a_1=-\frac{1}{9}\\a_n=-3a_{n-1}\end{array}\right[/tex]

Step-by-step explanation:

Given the sequence

[tex]-1/9, 1/3, -1, 3, -9, ...[/tex]

The common ratio is determined by the division of term by the previous term.

Common Ratio, [tex]r=\frac{1/3}{-1/9} =\frac{-1}{1/3} =\frac{3}{-1}=-3[/tex]

A recursive formula is a formula that defines each term of a sequence using preceding term(s).

For the given sequence, the recursive formula is:

[tex]\left\{\begin{array}{ccc}a_1=-\frac{1}{9}\\a_n=-3a_{n-1}\end{array}\right[/tex]

Answer:

−3; f(x + 1) = −3(f(x))

The answer is B.

Step-by-step explanation:

Mary spent a total of $320.91 for a party. She spent $200.39 on food, plus an additional $30.13 for
each hour of the party. How long was the party?
A.. 3 hours
B.. 4 hours
C.. 5 hours
D.. 6 hours

Answers

Answer:

The party was 4 hours long.

Step-by-step explanation:

Subtract the total by the amount already known was spent directly.

320.91-200.39= 120.52

Now, in order to figure out how many hours the part was, take how much each hour and divide it by the remainder of money.

Thus, 120.52/30.13 = 4

All things put into consideration, The party was 4 hours long.

I hope this helped!!

~ Penny

It’s 3 because I don’t know but I’m just kinda confused tho

26)
Which expression demonstrates the distributive property applied to the expression 4(3 + 7)?
4 (7 + 3)
4 x 3 +7
4* (7 * 3)
4x3+4x7

Answers

Answer:

The answer is D.

Step-by-step explanation:

Distributive Property

4x3=12

4x7=28

28+12=40

I think the answer is d

A rectangle with a length of 2 w and width of w. An equilateral triangle with side lengths of w + 8. The perimeters of a rectangle and an equilateral triangle are equal. What is the equation for this scenario? rectangle’s perimeter: equilateral triangle’s perimeter: scenario’s equation:

Answers

Answer:

rectangles perimeter: 6w

equilateral triangles perimeter: 3w+24

scenario’s equation: 6w=3w+24

Step-by-step explanation:

w=8

rectangles perimeter= 48

EQUTRI perimeter= 48

Answer:

1st part: 3rd option

2nd part: 4th option

3rd part: 4th option

Step-by-step explanation:

Which expression represents the rectangle’s perimeter?

2(2w-6)+2(w)

Which expression represents the triangle’s perimeter?

3(w+8)

What is the perimeter of both polygons?

60 units

The scale of a map is 1 inch : 9.5 miles.

a) The actual distance between Joseph's house and the airport is 24 miles. How far apart are Joseph's house and the airport on the map?

b) Joseph traveled from his house to the airport. He then traveled another 16 miles past the airport to a restaurant. How many inches on the map represent this distance?

c) Upload your work to show how you got to the answer.

PLEASE HELP, REALLY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2.526 in4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

__

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

__

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

_____

Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

__

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

  map inches/ground miles = 1/9.5 = x/24

  route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

Find the volume of the pool shown. It consists of two prisms.





A.
1,765 feet cubed

C.
1,620 feet cubed

B.
1,234 feet cubed

D.
1,985 feet cubed

Answers

The volume of the pool is 1,620 ft cubed
The volume of the top rectangle is 1200 ft cubed and the bottom is 420 ft cubed. In all it is 1620 ft cubed.

What is the volume of this container ?

Answers

Answer:

1875 cm>3 i think

Step-by-step explanation:

Find an equation equivalent to r = 5/1+cos(theta) in rectangular coordinates.
a. x^2=25-10y
b. y^2=10x-25
c. x^2=10y-25
d. y^2=25-10x

Please select the best answer from the choices provided

A
B
C
D

Answers

Final answer:

By applying polar to rectangular coordinates conversion formulas, the polar equation r = 5/(1+cos(θ)) is equivalent to the rectangular coordinate equation y² = 25 - 10x, which matches option D.

Explanation:

To convert the polar equation r = 5/(1+cos(θ)) to rectangular coordinates, we use the relationships between polar and rectangular coordinates: r = √x² + y² and cos(θ) = x/r. Substituting these into the given equation, we get:

r = √x² + y²;

cos(θ) = x/r;

r(1+cos(θ)) = 5;

r + r x/r = 5;

r + x = 5;

r = 5 - x;
Substitute back in for r, we get:

(√x² + y²) = 5 - x;
Squaring both sides gives us x² + y² = (5 - x)² which can be simplified to x² + y² = 25 - 10x + x². Canceling x² from both sides and reordering the terms gives us y² = 25 - 10x, which matches option D.

Please help me...

1A cashier earns $8 per hour.


2.tomatoes cost $0.70 per pound

Please help me I would really appreciate it ty

Answers

Answer:

1) 2/16 |  4/32 | 5/40 | 9/72

2) 2/1.4 | 3/2.1 | 6/4.2 | 8/5.3

Step-by-step explanation:

4*8 is 32

40/8 is 5

72/8 is 9

2.1/.7 is 3

6*.7 is 4.2

8*.7 is 5.6

With the first chart all it is doing is going up by 8. So, take the time and multiply it by 8. An if you noticed the time is counting up by 2. So for the missing time just count up by 2.

For the second chart it is a little harder. The second box for the weight seems to be 3 and all you have to do for the price is take the top number and multiply it by 0.70 and you should get your answer!

Thank you for asking you question i enjoyed helping!

-MajorJax3

1. The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet
up on the wall, how long is the ladder?

Answers

Answer:

The answer is C

Step-by-step explanation:

Sarah’s stands on a ground and sights the top of a steep Clift at a 60 degree angle of elevation she then steps back 50 meters then sights the top of the steep cliff at a 30 degree angle if Sarah is 1.8 meters tall how tall is the cliff to the nearest meter ?

Answers

Answer:

Cliff is 45 m tall.

Step-by-step explanation:

Given:

Height of Sarah = 1.8 m

Angle of elevation = 60°

Angle of elevation 50 m back = 30°

As shown in the figure we have two right angled triangles SPQ and SPR.

Let the height of the cliff be [tex]h[/tex] meters and [tex]h= h_1+h_s[/tex].

Using trigonometric ratios:

tan (Ф) = opposite/adjacent

In ΔSPQ.                                        In ΔSPR.

[tex]tan(60) = \frac{h_1}{x}[/tex] ...equation (i)        [tex]tan (30)=\frac{h_1}{x+50}[/tex]  ...equation (ii)

Dividing equation (i) and (ii)

[tex]\frac{tan(60)}{tan(30)} = \frac{h_1}{x} \times \frac{x+50}{h_1}[/tex]

[tex]3 = \frac{x+50}{x}[/tex]

[tex]3x=x+50[/tex]

[tex]3x-x=50[/tex]

[tex]2x=50[/tex]

[tex]x=\frac{50}{2}[/tex]

[tex]x=25[/tex] meters

To find [tex]h_1[/tex] plugging [tex]x=25[/tex] in equation (i)

[tex]h_1=x\times tan(60)[/tex]

[tex]h_1=25\times 1.73[/tex]

[tex]h_1=43.25[/tex] meters

The height of the cliff from ground :

[tex]h= h_1+h_s[/tex]

[tex]h= 43.25+1.8[/tex]

[tex]h=45.05[/tex] meters

The cliff is 45 m tall to the nearest meter.

Matthew bought a laptop for $34,000 in the year 2008. Its value depreciates by 4% per year. What is the
value of laptop in 2011?

Answers

The value of the laptop in 2011 will be $29920

Step-by-step explanation:

Cost of the laptop = $34000

Rate of decrease in value per year = 4%

Total time = 3 years

The Value decrease in 2011 = (34000 x 4 x 3) /100

= $4080

The value of the laptop in 2011 = 34000-4080

= $29920

The value of the laptop in 2011 will be $29920

32 of the rabbits are Male.
9 of the female rabbits are black.
14 of the white rabbits are Male.

Answers

Answer:

(Male White Rabbits Count: 14) (Male Black Rabbits Count: 18) (Female White Rabbits Count: 0) (Female Black Rabbits Count: 9)

Step-by-step explanation:

In order to get this answer you have 9 rabbits that are black and 0 white rabbits. Then there is 32 male rabbits and 14 of them are white so you subtract 14 from 32 and the rest is black rabbits which is 18. Now you have all of your answers.

Answer:

for b) the answer is 7/48

this wasn't included in the last answer so here it is.

Step-by-step explanation:

white female rabbit number/the overall total

There are 500 coffins and 500 hundred men who need them.The undertaker asks the first man to go to every coffin and open them,then he tells the 2nd man to go to every one and close it.The 3rd one goes to every 3rd coffin and so on.How many are open?

Answers

Answer:

22

Step-by-step explanation:

No coffin will be opened at the end of 500th man .

Given,

500 coffins and 500 hundred men

Here,

First man opens all the coffins, but the second man closes every second coffin, which means that the odd-numbered coffins are closed again.

Then, the third man goes to every third coffin and closes it, which means that the coffins that are multiples of 3 are closed again.

This pattern continues with each subsequent man, so by the time the 500th man goes to the coffins, all of them will be closed.

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Thomas's room is 11.4 feet long. He wants to put up
a poster that takes up 0.25 of the length of a wall.
How long should his poster be?

Answers

Answer:

2.85 ft

Step-by-step explanation:

To find the length of the poster, take the length of the wall and multiply the the decimal length

11.4* .25

2.85

The volume of one prism is known, along with the height For the two prisms to be congruent, what must the area
of another prism. The values are shown below.
of the base be, given that the triangular bases are
congruent?
3 in 2
6 in?
12 in 2
15 in 2
15 in.
V = 90 in 3

Answers

Answer:

6in2

Step-by-step explanation:

i`m doing the assignment.

Answer:

6in^2

Step-by-step explanation:

The answer is 6in^2, I just did the assignment on Ed$ge$nuity and I got it right.

One letter weights 12 ounces.The mail carrier is allowed to carry 30 pounds.How many letters can he carry?

Answers

Answer:

The mail carrier can carry 40 letters.

Step-by-step explanation:

The first step is to put ounces into pounds.

1 lb = 16 oz  This is the unit rate

0.75 lbs = 12 oz

Now put the 30 lbs into ounces

30 lbs = 480 oz

Divide 480 oz by 12 oz to find how many letters equal 480 oz.

480/12 = 40 letters

If this answer is correct, please make me Brainliest!

Answer:

Hi! I am late but its 40 oz

Step-by-step explanation:


Olivia works 3-hour shifts at the
library. She is paid $45 per shift.
What equation can be used to
represent the amount of money
Olivia earns, m, for working a
total of h hours?

Answers

Answer:

14 hours

antonio es gay

Step-by-step explanation:

Olivia’s pay: 3x45=135 = m for her shift

Sam is baking cakes at her parent’s bakery. She gets paid 20 a week in addition to 5 for every cake she bakes. She made 50 this week. Write an equation to show how many cakes Sam baked this week

Answers

Answer:

i think it is 20 + 5x = 50    or  f(x)=2(3^x)

Step-by-step explanation:

equation to show how many cakes sam baked this week:

20 + 5x = 50

20 = 20 dollars

5 = 5 more dollars

x = number of cakes

therefore, sam earned $50 this week.

Answer:

20+5x=50

x will represent the number of cakes she baked

she gets paid $5 for every cake she bakes, this is where the 5x comes from

she makes $20 ("in addition" that's where the "+20" comes from) a week. However, in this case we're only talking about what she made in one week, hense why there is no variable attached to the 20

she makes a total of $50

20+5=50

she baked a total of 6 cakes. How?

subtract 20 from both sides so you have:

5x=30

divide both sides by 5 to get x by itself:

x=6

what is perpendicular to -96/17

Answers

Answer:

[tex]\frac{17}{96}[/tex]

Step-by-step explanation:

Given  m = - [tex]\frac{96}{17}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{96}{17} }[/tex] = [tex]\frac{17}{96}[/tex]

32.15 is written correctly in EXPANDED FORM using FRACTIONS

Answers

Answer:

32.15 = (3 x 10) + (2 x 1) + (1/10) + (5/100)

Step-by-step explanation:

Bill is planning to paint the back of his house. What is the total area that he will be painting?​

Answers

Answer:

A- 462.86

Step-by-step explanation:

WILL MARK BRAINLIEST!!!!!!! NEED HELP FAST!!!!

Answers

Answer:

Darcy and Joe

Step-by-step explanation:

Hi there! Hopefully this helps!

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

The answer is D; Darcy and Joe.

Everyone's area's:

Tess = 21.

Darcy = 24.

Meg = 25.

Joe = 24.

This set of ordered pairs is a function (22, 4), (21, 1), (0, 0), (1, 1), and (2, 4).

Please explain like you were teaching how you can know this is a function.

Answers

Answer:

Step-by-step explanation:

You know these ordered pairs are considered a function, because the x intercepts do not repeat themselves. In other words, each input numbers are different. If these ordered pairs were not a function, the x intercept would be repeating. For example,  22 is already a x intercept, (22,4), if 22 was put in as another x intercept like,(22,1) these ordered pairs would not be a function.

A pole 6m high has a shadow 10 m long when the shadow of a nearby building is 220 m long. How tall is the building?

Which ratio is equal to the ratio of the height of the building to its shadow?



Answers

Final answer:

By using the similar triangles principle, the height of the building is found to be 132 meters. We find this by setting up a proportion between the known ratios of the pole's height to its shadow and solving for the building's height.

Explanation:

We can solve the problem using similar triangles. The ratio of the height of the pole to its shadow is the same as the ratio of the height of the building to its shadow. Since the height of the pole is 6m and its shadow is 10m, we have the ratio of the height to the shadow for the pole as 6/10 or 3/5.

This ratio will be equal to the ratio of the height of the building (which we'll call h) to the shadow of the building (220 m), so we can write the proportion as:

3/5 = h/220

Now we solve for h:

3/220 = h/5

h = (3/5) × 220

h = (3 × 44)

h = 132m

So the height of the building is 132m.


Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,228 was collected on the
sale of 1,340 tickets. How many of each type of ticket were sold?

Answers

Answer:

Okay, so 2 years later, here's your answer.

472 adult tickets and 868 student tickets were sold.

Step-by-step explanation:

Let x be the number of adult tickets sold.

Let y be the number of student tickets sold.

Your Equations:

x + y = 1340 tickets

5x + (1)y = $3228

Isolate the y variable:

y = 1340 - x

y = 3228 - 5x

Substitute:

1340 - x = 3228 - 5x

Solve:

1340 - x = 3228 - 5x

Add 5x on both sides

1340 + 4x = 3228

Subtract 1340 on both sides

4x = 1888

Divide 4 on both sides

x = 472

Plug in x into an equation:

472 + y = 1340

Subtract 472 on both sides

y = 868

472 adult tickets were sold

868 student tickets were sold.

Voted myself a 1-star XD

HELP PLEASE PLEASE :’(

The path of a shotput thrown is represented by the following parametric equations. Distance is measured in feet and time in seconds. Rewrite the parametric equations by eliminating the time parameter.
x(t)=23t
y(t)=5+19.3t-16t^2

a. y=5+444x-10,210x^2, x>or equal to 0
b. y=5+0.84x-0.70x^2, x>or equal to 0
c. y=5+444x-16x^2, x>or equal to 0
d. y=5+0.84x-0.03x^2, x>or equal to 0


Water is dripping out of a gutter onto a splash guard that follows the path represented by the parametric equations. Rewrite the parametric equations by eliminating the parameter.
x(t)=e^t
y(t)=2e^-t

a. y= 2/x, x>or equal to 0
b. y= 2/x, x>0
c. y= 2/(x^2), x>or equal to 0
d. y= 2/(x^2), x>0

Thanks!!!!!!

Answers

Practice:

1. A.

2. D. y=5+0.84x-0.03x^2, x>=0

3. B. y=2/x, x>0

Quiz:

1. A C E. (-4,4) (0,0) (6,9)

2. A. y=-1/3x+19/3

3. D. x=2y^2-1, y>=0

4. B. y=3/x^2, x>0

For the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

For the first parametric functions:

[tex]\rm x(t)=23t \\\\y(t)=5+19.3t-16t^2[/tex]

[tex]\rm t = \dfrac{x}{23}[/tex]

Put this value in the y(t)

[tex]\rm y=5+19.3(\dfrac{x}{23})-16(\dfrac{x}{23})^2[/tex]

y = 5+ 0.84x - 0.7x²

For the second parametric functions

[tex]\rm x(t)=e^t .....(1)\\\\y(t)=2e^-^t[/tex]

Taking ln in equation (1)

lnx = t

Put this value in equation (2)

[tex]\rm y=2e^{-lnx}[/tex]

y = 2/x,   x>0

Thus, for the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0

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Let G be the number (in billions) of new green tea sales. Let I be the number in billions)
of new fruit juice sales. During a 20-year period, G and I can be modeled by the following
equation, where t is the time in years).
G = 674 + 3t – 2t² + 5t + 60
J = 314 - 31 + 512 - 5t + 45
Find a new model A for the total number of new green tea and fruit juice sales.

Answers

The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :

G = 674 + 3t – 2t² + 5t + 60

I = 314 - 31 + 512 - 5t + 45

where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.

A new model {A} for the total number of new green tea and fruit juice sales can be written as -

{A} = {G} + {I}

{A} = 674 + 3t – 2t² + 5t + 60 + 314 - 31 + 512 - 5t + 45

{A} = (674 + 60 + 314 - 31 + 512 + 45) + (3t + 5t - 5t) - 2t²

{A} = 1574 + 3t - 2t²

Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².

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Final answer:

To create a new model for the total sales of green tea and fruit juice, the sales equations for both products are added together and simplified, resulting in the model A = 3t² + 1093, representing combined sales in billions as a function of time in years.

Explanation:

To find a new model A for the total number of new green tea and fruit juice sales, we need to combine the models given for G (green tea sales) and J (fruit juice sales). The models provided had some errors, but they should be:

G = 674 + 3t – 2t² + 5t + 60

and

J = 314 – 3t + 5t² – 5t + 45

Combining these models to form A (total sales), we add G and J together:

A = G + J

= (674 + 3t – 2t² + 5t + 60) + (314 – 3t + 5t² – 5t + 45)

Now, we simplify the equation by combining like terms:

A = (674 + 314) + (3t – 3t) + (5t – 5t) – 2t² + 5t² + (60 + 45)

A = 988 + 0t + 0t + 3t² + 105

A = 988 + 3t² + 105

A = 3t² + 1093

Therefore, the new model A for the total sales is A = 3t² + 1093. This model represents the combined sales of green tea and fruit juice in billions of dollars during the 20-year period as a function of time t in years.

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No entendo la leccin.correctincorrect my question is that is 22.7 degrees colder than 96.5 degrees? during which era did sculptures make the tremendous advancement of using drills Your task is to break a number into its individual digits, for example, to turn 1729 into 1, 7, 2, and 9. It is easy to get the last digit of a number n as n % 10. But that gets the numbers in reverse order. Solve this problem with a stack. Your program should ask the user for an integer, then print its digits separated by spaces. The price-earnings (PE) ratios of a sample of stocks have a mean value of 10.5 and a standard deviation of 3. If the PE ratios have a normal distribution, use the Empirical Rule (also called the 68-95-99.7 Rule) to estimate the percentage of PE ratios that fall between: You need to compute the a 90% confidence interval for the population mean. How large a sample should you draw to ensure that the sample mean does not deviate from the population mean by more than 1.5? (Use 9.2 as an estimate of the population standard deviation from prior studies.) To solve the system of linear equations 8x+ 5y - 18 and 6x+y --2 by using the linear combination method, Amos decidedthat he should first multiply the second equation by -5 and then add the two equations together to eliminate the y-terms. What is the reaction of the body and mind to everyday challenges and demands. Please please answer this correctly I have to finish this today as soon as possible If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle? The key to description is: A. Giving the reader enough detail to form a picture in his or her mindB. Telling the reader how you would do somethingC. Showing only the steps you consider importantD. Considering only what you think the reader already knows Mark, a senior editor at Logi Corp, is in charge of editing the articles written by Bruno, a newly hired employee. He notices many grammatical errors in Bruno's articles and decides to write a feedback message to Bruno. Which of the following guidelines should Mark follow when composing the message?A) He should include specific, verifiable facts.B) He should convey intent to get even.C) He should not maintain neutrality.D) He should use evaluative words that present opinions. Carter made a scale drawing of a house and its lot. In real life, the backyard is 63 feet long. It is21 inches long in the drawing. What scale did Carter use for the drawing?1 inch :feet Each of these items must be considered in preparing a statement of cash flows for Irvin Co. for the year ended December 31, 2017. For each item, state how it should be shown in the statement of cash flows for 2017. (a) Issued bonds for $200,000 cash. Choose the type of cash inflows and outflows (b) Purchased equipment for $180,000 cash. Choose the type of cash inflows and outflows (c) Sold land costing $20,000 for $20,000 cash. Choose the type of cash inflows and outflows (d) Declared and paid a $50,000 cash dividend. Choose the type of cash inflows and outflows 8 into 6482 what is the placement value On a recent administration of a state bar exam, 22% of the test takers passed the test, 78% of those who passed were first-time test takers, and 60% of those who failed were first-time test takers. What percent of first-time test takers passed the test What does D-503s explanation of the Tables in the third entry reveal about how he views the United State?A. D-503 loves the Tables for the security they bring him in his daily life, to the point of almost worshiping them; this implies that D-503 is actually a deeply religious man and that he thinks of the United State as his church.B. D-503 explains that the Tables are the enforced timetables of the Numbers (or citizens) of the United State; he resents these schedules and thus secretly hates the United State.C. D-503 loves the rigid scheduling instructed by the Tables, so much so that he resents his free time; this suggests that D-503 very supportive of the United State and its harsh, invasive methods.D. D-503 loves the Tables because they tell the Numbers (citizens of the United State) what to do and thus create a sense of unity; this implies that D-503 is very lonely and that he views the United State as a large family. Read this excerpt from The People Could FlyHis mother made him three loaves of bread and three cakes for him on his journey. She put poison in the cakes. She told him that the cakes were for him and the bread for his donkey. His donkey's name was Paul.After they had traveled all the morning, Manuel felt hungry. He got off his donkey and he found the bread and the cakes in his bag. The bread was hard, and the cakes were soft."Paul has carried me so well," he said to himself; "I will give him the soft cakes and eat the hard bread myself."When Paul ate the cakes, he fell down dead. Manuel said, "My poor little donkey is dead!"How does the plot influence characterization in this excerpt?The rising action reveals Manuels laziness.The rising action suggests that Manuel is generous.The climax shows that Manuel struggles to survive in the desert.The climax proves that Manuel blames his mother for Pauls death. Carol has a bag containing 3 red chips, 10 blue chips, and 7 green chips. Estimate the probability (as a fraction or decimal) of Carol reaching into her bag and pulling out a green chip. * Number the steps from when a stimulus is received to when the body reacts.The stimulus is received by sensory receptors.Motor neurons cause muscles to contract so the body can react to the stimulus.The brain processes the information through interneurons.Interneurons transfer response information to motor neurons.Sensory neurons carry stimulus information to the brain or spinal cord.