3. A box contains 36 books and some toys. The ratio of the number of books to the number of toys is 4 : 5.
After some toys are given away, the ratio of the number of books to the number of toys becomes 12:11. Find:

(1) the initial number of toys in the box,

(2) the number of toys that are given away.

Answers

Answer 1

Answer:

4512

Step-by-step explanation:

Given 36 books in a box with toys such that the books : toys ratio is 4 : 5, you want the initial number of toys and the number given away if the ratio becomes 12 : 11.

Ratios

The number of books remains constant at 36. We can rewrite the ratios so that each shows the correct number of books:

  ratios are books : toys

  before: 4 : 5 = 36 : 45 . . . . . . . multiply by 9

  after: 12 : 11 = 36 : 33 . . . . . . . . multiply by 3

1. Initial Toys

Based on the above, we see the initial number of toys is 45.

2. Given away

The final number of toys is 33, so the number given away is ...

  45 -33 = 12

12 toys were given away.

<95141404393>


Related Questions

Can i please have help with this

Answers

Answer:

linear

Step-by-step explanation:

its linear because the data shows a straight line:)

Answer:

Linear

Step-by-step explanation:

linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.

[tex]6e/7=48\\[/tex]

Answers

The solution of the given equation 6e/7 = 48 is given by, e = 56.

Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.

Given the equation is,

6e/7 = 48

We have to solve this equation and have to find the value of 'e' which satisfy this equation.

Solving the given equation we get,

6e = 48*7 [On multiplying 7 with both sides]

6e = 336

e = 336/6 [On dividing 6 from both sides]

e = 56

Hence the solution of the given equation is, e = 56.

To know more about equation here

https://brainly.com/question/17145398

#SPJ1

Scalar and Matrix multiplication What is the dang product???

Answers

The result of the vector multiplication of a scalar is a vector.

Vector multiplication of a scalar

A vector has both magnitude and direction while a scalar has only magnitude and no direction.

When each element of the vector is multiplied by the scalar when a scalar and a vector are multiplied. The resulting vector is multiplied by the scalar, but it still has the same direction as the original vector.  Thus when we multiply the vector by the scalar what we get is a vector as we can see in this question.

Learn more about vector:https://brainly.com/question/11960424

#SPJ4

#3 Solve the triangle. Round decimal to the nearest tenth

Answers

The missing measures for the triangle are given as follows:

m < B = 65º.a = 23.8. b = 32.2.

What is the law of sines?

Suppose we have a triangle in which:

Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.

The lengths and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is obtained as follows:

m < B + 73 + 42 = 180

m < B = 180 - 115

m < B = 65º.

Then the relation is:

34/sin(73º) = a/sin(42º) = b/sin(65º).

Then the value of a is obtained as follows:

34/sin(73º) = a/sin(42º)

a = 34 x sine of 42 degrees/sine of 73 degrees

a = 23.8.

The value of b is obtained as follows:

34/sin(73º) = b/sin(65º)

b = 34 x sine of 65 degrees/sine of 73 degrees

b = 32.2.

More can be learned about the law of sines at https://brainly.com/question/4372174

#SPJ1

The legs of a right triangle measure 39 and 80 units. What is the measure of the
hypotenuse? Answer as a number only.

Answers

Answer: probably  89

Step-by-step explanation: looked it up "you have the wrong picture up"

The hypotenuse of the given right-angled triangle is 89 units.

From the below figure, the base of the triangle AB = 39 units

The height of the triangle AC = 80 units

To know the hypotenuse of the given triangle we have to use the Pythagoras theorem as shown below,

From the given figure,

BC² = AB² + AC²

BC² = 39² + 80²

BC² = 1521 + 6400

BC² = 7921

BC = √7921

BC = 89.

From the above analysis, we can conclude that the hypotenuse of the given right-angled triangle is 89 units.

To know more about Pythagoras theorem,

https://brainly.com/question/29667215

#SPJ1

Given question is having the wrong picture. I am attaching required correct picture as below,

a plane slices the three rectangular faces of a right triangular prism but neither of its bases. the plane is not parallel to the bases of the prism. show and describe the plane section that results from the slice

Answers

Answer:

Since the prism has three rectangular faces, let's call them faces ABCD, ABEF, and CDFH. Without loss of generality, let's assume that the plane goes through points A, B, and C to slice through all three rectangular faces.

First, let's consider the intersection of the plane with face ABCD. Since the plane goes through points A, B, and C, it must contain the line segments AB and AC. Thus, the intersection of the plane with face ABCD is a triangle with vertices A, B, and some point D' on the edge CD.

Next, let's consider the intersection of the plane with face ABEF. Since the line segments AB and AC both lie entirely within face ABEF, their intersection with the plane gives line segments AB' and AC', respectively. Thus, the intersection of the plane with face ABEF is a quadrilateral with vertices A, B', E, and F.

Similarly, the intersection of the plane with face CDFH is a quadrilateral with vertices C, D', H, and F.

To visualize the resulting plane section, imagine unfolding the right triangular prism so that all its faces lie flat. Then the plane section would look something like this:

B'________E

/| / |

A /_|___/' |

| | | |

| D'- -|-----C

| / |____|/

F|/ H

The intersection of the plane with face ABCD is the triangle ABD', and the intersections with faces ABEF and CDFH are the quadrilaterals AB'EF and CD'HF, respectively.

Overall, the resulting plane section has four sides: AB' and B'E from face ABEF, EF and FD' from face CDFH, and D'A from face ABCD. It has one vertex at A and two vertices, B' and D', that lie on the edge CD. The fourth vertex is at some point E on the edge BE. The shape of the resulting plane section depends on the relative positions of points B and D on the edge CD, and point E on the edge BE.

A number "z" when rounded to the nearest whole, is equal to

Find the upper and lower bound of "z"

Answers

In order to find the upper and lower bounds of a rounded number:

Identify the place value of the degree of accuracy stated.Divide this place value by 2 .Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound.

How to explain the bound

The upper and lower bounds can be found by dividing the degrees of accuracy by 2 and then subtracting and adding with the value to give the lower and upper bounds respectively.

Kindly check the above explanation inorder to know how to calculate the value as your information is incomplete

Learn more about bound on

https://brainly.com/question/28725724

#SPJ1

How does one find the upper and lower bound of a variable

The price of a can of beans is raised from 64
cents to 74
cents.

Approximately what is the percent increase in the price of the can of beans?

Answers

Answer: 13%

Step-by-step explanation:

10/74 = 0.13513513513

What is the area of the the triangle

Answers

Answer:

15

Step-by-step explanation:

i got tHAT TEST TRUST ME

\

\\\\\\\

For which angle θ is cos θ = −1?
a. 270° b. 360° c. 450° d. 540°

Answers

Answer: Dude adove is WRONGGG

Step-by-step explanation:

ANSWER IS  540

Answer:

  c. 540°

Step-by-step explanation:

You want to know which angle θ has cos(θ) = -1.

Cosine

The cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...

  180° +360° = 540° . . . . . choice D

__

Additional comment

A graph of the cosine function is attached. The horizontal axis is in degrees.

<95141404393>

A restaurant offers 18 types of pizza. A small cafe offers 1/3 as many types of pizza. How many fewer types of pizza does the small cafe offer?

Answers

Answer:

6 fewer pizzas

Step-by-step explanation:

The small cafe offers 6 fewer types of pizza than a restaurant. The restaurant offers 18 different types of pizzas and the cafe offers 1/3 as many types of pizzas which means what we have to find 1/3 of 18.

1/3 of 18 is 6 because 6*3 is 18

18 - 6 = 12 which is the number of pizzas the cafe offers but this is slightly irrelevant to the question because the question is asking how many FEWER pizzas the cafe sells than the restaurant

So, the small cafe offers 6 FEWER pizzas than the restaurant.

Hope this helps!

Calculate the Social Security and Medicare tax that would be applied to an annual salary of $125,000. Use $106,800 for maximum taxable earnings. (Soc Sec 6.2%, taxed up to $106,800 and Medicare 1.45%).
a. Social Security tax: $77,500.00, Medicare tax: $18,125.00 b. Social Security tax: $7,750.00, Medicare tax: $1,812.50 c. Social Security tax: $66,216.00, Medicare tax: $18,125.00 d. Social Security tax: $6,621.60, Medicare tax: $1,812.50

Answers

The calculated Social Security tax is $ 6621.60 on the maximum taxable earning, that is $106800 on the rate of 6.2% and Medicare tax is  $1812.50 on the annual salary, that is $125,000 on the rate of 1.45%.

Hence option d is the correct option.

The annual salary of an individual is given as  $125,000.

Medicare tax is levied on the annual salary of an individual, that is on $125,000. It is given as 1.45 % on $125,000.

The maximum taxable earnings is $106,800 and Social Security tax is levied on this $106,800. It is given as 6.2% on $106,800.

Thus, applying basic rule of percentage calculation we get,

Earnings from Social Security tax  = $(6.2% of 106800)

= ${(62/100*10)(106800)

= $ 6621.60

Earnings from Medicare tax = $(1.45% of 125000)

=  $(145/100*100)(125000)}

= $1812.50

Hence option d Social Security tax: $6,621.60, Medicare tax: $1,812.50 is the correct option.

To know more about percentage calculation here

https://brainly.com/question/29541337

#SPJ4

HELP I DONT GET THIS!!Add.
(6d²+3d)+(7d+3)

Answers

Answer:

the answer is...

Step-by-step explanation:

6d^2 + 10d + 21

I need helpp please do as many as u can but can you please do the whole thing thank youuuuuu

Answers

The values of following in parallel lines are:

Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).

Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).

Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).

Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).

Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).

Option B: 23 is not an example of supplementary angles.

Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.

Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.

Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.

What is parallel lines?

Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.

To know more about parallel lines,

https://brainly.com/question/31412993

#SPJ1

The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.

Which graphical representation would be most appropriate for the data, and why?

Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical

Answers

The graphical representation that will be most appreciated for the data would be box plot, because the median can easily be determined from the large set of data. That is option A.

What is a box plot?

The box plot is a type of graphical representation of data that gIves more than one detail about the data set such as;

minimum,first quartile,median,third quartile, andmaximum.

Box plots allow you to compare multiple data sets better than others dues to the above listed features that it has.

Learn more about histogram here:

brainly.com/question/28164315

#SPJ1

suppose that you will roll 2, fair 6-sided dice (assume a laplace probability model), and let represent the sum of the results of the two rolls. which is closest to ?

Answers

the expected value of the sum of two fair 6-sided dice is 7.

The possible values of the sum of two fair 6-sided dice range from 2 (when both dice show a 1) to 12 (when both dice show a 6). The probability of each possible sum can be calculated using a probability distribution table or by listing all the possible outcomes and counting them.

Here is the probability distribution table:

Sum Number of Outcomes Probability

2 1 1/36

3 2 2/36

4 3 3/36

5 4 4/36

6 5 5/36

7 6 6/36

8 5 5/36

9 4 4/36

10 3 3/36

11 2 2/36

12 1 1/36

The expected value of the sum, denoted E(X), is the sum of each possible value of X multiplied by its probability, or:

E(X) = 2*(1/36) + 3*(2/36) + 4*(3/36) + 5*(4/36) + 6*(5/36) + 7*(6/36) + 8*(5/36) + 9*(4/36) + 10*(3/36) + 11*(2/36) + 12*(1/36)

E(X) = 7

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. A probability of 0.5 (or 50%) means the event is just as likely to occur as it is not to occur.

To learn more about probability visit:

brainly.com/question/30034780

#SPJ11

A mountain bike tire completes 15 revolutions and travela 146 feet. Rounded tot the nearest in, how many inches is the diameter of the vike's tire?

Answers

The diameter of the bike's tire is 2.325 inches.

What is circumference?

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it.  If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

A mountain bike tire completes 15 revolutions and travels 146 feet.

Now,

1 revolution of a tire is equal to the circumference of the tire.

Since we have 15 revolutions, we should take 15C=146

where C=πd where π is pi (use 3.14 or the pi symbol).

Our equation is:

20πd=146.

Then solve for d:

20 × 3.14 × d = 146

62.8d = 146

d = 146/62.8

d = 2.325 inches.

Learn more about Circumference at:

https://brainly.com/question/28757341

#SPJ4

Find the set of solutions for each of the absolute value inequalities: |2-5m/2|<14

Answers

The solution of the expression is -24/5 < m < 32/5

How to find the solutions

To solve the absolute value inequality |2 - 5m/2| < 14, we remove the absolute value symbol resulting to two cases which is solved below

Case 1:

2 - 5m/2 < 14

Multiplying both sides by 2

4 - 5m < 28

Subtracting 4 from both sides

-5m < 24

Dividing both sides by -5 and rearranging the equation

m > -24/5

Case 2

2 - 5m/2 < -14

subtracting 2 to both sides

5m/2 < -16

Dividing both sides by -5/2

m < 32/5

Combining the equations

-24/5 < m < 32/5

Learn more about absolute values at

https://brainly.com/question/24368848

#SPJ4

PLEASE HELP I HAVE TO SUBMIT SOON!!!

Answers

She needs 74.25 ft² of glass to cover the pyramid.

How to obtain the surface area of the pyramid?

To obtain the surface area of any prism, we combine the areas of all the parts that compose the prism.

The pyramid in this problem is composed as follows:

Square base with side length of 5.5 ft.Four triangles with base 5.5 ft and height of 4 ft.

The area of the square base is given as follows:

As = 5.5² = 30.25 ft².

The area of the four triangles is given as follows:

At = 4 x 1/2 x 5.5 x 4

At = 44 ft².

Hence the surface area of the pyramid is given as follows:

S = As + At

S = 30.25 + 44

S = 74.25 ft².

More can be learned about the surface area of a pyramid at https://brainly.com/question/22744289

#SPJ1

3. Find volume. Show work, round to 2 decimal places.

*square based pyramid*

Answers

the first thing that you're supposed to do is multiply all the given measurements as we know that volume is equal to length times with times height so you have to multiply all the three given measurements the answer that you get after multiplying those three given measurements you have to round your answer to the nearest two decimal places therefore after they'll call my they need to be two numbers just after the coma

WORTH 35 PTS, HELP
how do you factor completely:
4x^2 + 20x + 200 = 0

it’s a quadratic equation..
the 4x is squared

Answers

The factored form of the equation 4x² + 20x + 200 = 0 is 4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

To factor completely, we can begin by factoring out the greatest common factor of the three terms, which is 4:

4(x² + 5x + 50) = 0

Next, we want to factor the quadratic expression in parentheses.

we can use the quadratic formula, which states that the solutions to the equation ax² + bx + c = 0 are given by:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = 5, and c = 50, so we have:

x = (-5 ± √(5² - 4(1)(50))) / 2(1)

x = (-5 ± √(-175)) / 2

x=-5/2+√7(5/2i)

x=-5/2+√7(- 5/2i)

The factored form of the equation 4x² + 20x + 200 = 0 is:

4(x + (5/2) +-5/2+√7(5/2i))(-5/2+√7(-5/2i))

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

Fierro Brothers, a discount broker, charges their customers a $19 flat fee per trade. The Sondo Investment House charges a 2% commission. For what amount of stock would both brokers charge the same commission?

Answers

The required amount of stock is of $950 for  both brokers charge the same commission from the linear equation in one variable.

Let the total amount of stock be x (in dollars).

Fierro Brothers charges their customers a $19 flat fee per trade. Whereas, the Sondo Investment House charges 2% as the commission of trade.

Thus the given condition is Fierro Brothers charges equal commission fee on the required amount of stock as Sondo Investment house.

This relation can be shown in terms of linear equation as,

19 = 2% of x

⇒ 19 = (2/100)x

This linear equation is in the form of linear equation in one variable.

⇒ x= 19*(100/2)

⇒ x = 950

Therefore, on single trade of stock of $950 Fierro Brothers charges $19 fee (flat) as their commission which is equal to the commission earned by Sondo Investment House at the rate of 2% on trade.

To know more about linear equation in one variable here

https://brainly.com/question/31120842

#SPJ4

I will be giving brainliest plis help me!!!??!!?!??

Answers

Answer:sine

Step-by-step explanation:

1. If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares...

2. If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares...

3. If three squares have sides that make a right triangle, then the sum of the areas of the two small squares...

Answers

If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is known as the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side).

What is the squares about?

2. If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares is greater than the area of the largest square. This can be proven using the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, c² = a² + b - 2ab cos(C). For an obtuse triangle, the cosine of the angle opposite the largest side is negative, which makes the right-hand side of the equation larger than c². Therefore, the sum of the squares of the smaller sides is greater than the square of the largest side.

3. If three squares have sides that make a right triangle, then the sum of the areas of the two small squares equals the area of the largest square. This is again the Pythagorean theorem. Let the sides of the squares be a, b, and c, with c being the hypotenuse. Then we have a² + b² = c². The areas of the squares are a², b², and c², respectively, so the sum of the areas of the two small squares is a² + b², which equals the area of the largest square (c²).

To know more about squares  here:

https://brainly.com/question/27307830

#SPJ1

Label the legs of triangle PQR as a and b and label the hypotenuse c leg a has already been labeled for you

Answers

The hypotenuse is c and the other leg is b.

Given is a right triangle we need to label the sides,

The sides are =

PR = a

PQ = c

QR = b

Here, a and b are the legs and c is the hypotenuse of the given right triangle.

Hence the hypotenuse is c and the other leg is b.

Learn more about hypotenuse, click;

https://brainly.com/question/29407794

#SPJ1

A windshield wiper is 1.5m long. It's one end is fixed at the point O. The other end
moves from point A to point B by 75°.
Find the area swept by the wiper. Note: Enter your answer in terms of л.
A
1 = 1.5 m
75°
O
diuc?
B
wiper

Answers

Answer:

1) 1.5 meters

2) 75° or (5/12)π radians

3) A = (5/12)πr^2

4) A = (5/12)π(1.5^2)

= 15π/16 square meters

= about 2.95 square meters

Correct surface area = Brainliest

Answers

The surface area of the triangular prism is approximately calculated as: 361.88 mm².

What is the Surface Area of a Triangular Prism?

Surface area of any triangular prism = (Perimeter of the triangular base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)(L) + (bh)

Given the following variables:

S1 = 7.21 mm

S2 = 7.21 mm

S3 = 8 mm

L = 14 mm

b = 8 mm

h = 6 mm

Surface area = (7.21 + 7.21 + 8)(14) + (8 * 6)

Surface area = 361.88 mm²

Learn more about triangular prism on:

https://brainly.com/question/24907633

#SPJ1

7 part answer pls!!
The consumption of disel in truck A in one day is 102/208 ml and the consumption of truck B is 105/196 ml. Which truck consumed more disel and by how much?

Answers

Truck B consumed 0.045 mL more diesel than Truck A.

How to obtain the consumptions of each truck?

The fuel consumption for each truck is obtained applying the proportions in the context of the problem.

A proportion is applied as we are converting a fraction to decimal, dividing the numerator by the denominator, as follows:

102/208 ml = 0.49 mL -> divide 102 by 208.105/196 ml = 0.535 mL -> divide 105 by 196. -> consumed more.

Hence the difference is given as follows:

0.535 - 0.49 = 0.045 mL.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The set of inequalities that expresses the given relationships are -6 < -2 and -2 > -4. The correction is second option -6 < -2 and -2 > -4

Writing an inequality

From the question, we are to determine the set of inequalities that expresses the relationships

From the given information,

The given relationships are:

A score of -6 is lower than a score of -2. A score of -2 is higher than a score of -4.

First, we will write the first relationship as an inequality

A score of -6 is lower than a score of -2

This means that -6 is less than -2.

Using inequalities symbols, we can write that

-6 < -2

Now,

For the second relationship :

A score of -2 is higher than a score of -4

This means, -2 is greater than -4

Using inequalities symbols, we can write that

-2 > -4

Hence,

The inequalities that express the relationships are -6 < -2 and -2 > -4

Learn more on Writing an inequality here:

https://brainly.com/question/1447311

#SPJ1

12 If the domain of the function f(x) = 2X²-8 is {- 2, 3, 5}, then
the range is
(1) {-16, 4, 92}
(2) {-16, 10, 42}
(3) {0, 10, 42}
(4) {0, 4, 92}

Answers

The range is option (3): {0, 10, 42}

Domain is a group of x values. This means we can substitute each domain value into the function in order to find the range.

For example, since the first domain value is -2, we will substitute that.
f(-2)=2(-2)^2-8
f(-2)=2(4)-8
f(-2)=8-8
f(-2)= 0

Doing this for all of the values, we get a range of {0, 10, 42}. Hope this helps! :)
Other Questions
Will give brainy!Analyze the given diagram of the carbon cycle below. (10 points)Part 1: Which process does arrow F represent?Part 2: Explain how matter is conserved during the process.Part 3: Justify why this process is a recycling of carbon in the carbon cycle.Use complete sentences to explain your answer. explain a common practice in the reporting of research studies and summarizes a study that provides support for a change to that practice Question 60Many diseases and infestation have common names that can confuse the professional when referred to by lay individuals and often children. The term cooties refers to a/an:a. Flea infestationb. Infestation of bedbugsc. Lice infestationd. Infestation of flies The authors characterize the late nineteenth century as "the nadir of black life." Nadir means the:A) middle point.B) golden age.C) highest point.D) zenith.E) lowest point. A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate, how many cups of sugar should be used if 5 cups of flour included? Advantages of eel having larger egg cell Based on the assumption that the air resistance is negligible, it is suggested that the overallmotion characteristic of a long jumper may be analyzed by assuming that the center of gravity ofthe athlete undergoes a projectile motion. Consider an athlete who jumps a horizontal distance ofD. The angle of initial jump is 45 degrees. Express the takeoff speed (vo), travel time in the airuntil the jumper hits the ground (t), and maximum vertical height (H), using D and gravitationalacceleration (g). Hint: The travel time reaching to the max vertical height (H) is a half of the total travel time (t) Who was credited with developing the concept of the atomic number?(A) Dimitri Mendeleev(B) Lothar Meyer(C) Ernest Rutherford(D) Henry Moseley(E) Michael Faraday ~Examine the phylogenetic tree & use it to answer the following question: " Which two organisms are most closely related?" Question 6 1 pts Assume that the marginal propensity to consume equals 0.8, the income tax rate equals 0.3, and the marginal propensity to Import (nx) equals 0.2. Calculate the marginal leakage rate. Provide your answer to 2-decimal points, Summarize the trends in atmospheric warming and cooling over the past 900,000 years and during the last century. What unifying theme does protein standard curve connect to #24. What additional substance is necessary for reaction 2 to take place?A. FADB. NADHC. H2OD. Acetyl-CoA How do you change the aldol condensation to form a benzalacetone? Grant, a young Newfoundlander, has just graduated from high school and is deciding what todo with the rest of his life, which lasts two periods (like everyone elses). His main decision iswhether to stay in Newfoundland or migrate to Toronto.If he stays in Newfoundland, he will earn Y0 in period one and Y1 in period 2. If he moves toToronto, he will incur a moving cost of M (in the first period), and will be unemployed (withzero earnings) for the first period. In his second period in Toronto, he will earn YT. The interestrate at which money can be borrowed or invested is r.a) On a carefully labelled diagram, illustrate Grants migration decision, that is, show hisearnings paths as a function of time, depending on whether he lives in Newfoundland or Toronto.b) Show that he will move to Toronto if:(YT Y1) > (1+r)(Y0 + M)What is the economic intuition underlying this result? How does an increase in the interest rateaffect the migration decision? Why?c) As a potential labour economist, Grant realizes that he needs to have estimates of YT and Y1 inorder to make a wise migration decision. He reads in the newspaper that average earnings ofNewfoundlanders in Toronto are YT*, while Newfoundlanders earn an average of Y1*, if theystay in Newfoundland. (Both refer to second period earnings) With reference to the result in b),discuss the potential error that Grant may make by using YT* and Y1* as the basis of his estimateof the return to migration. Description of the circumscribed angle Convert the following percents to decimals..825% = Following the logic shown in the proof above, describe the missing answer for "Reason 3".A SASB AASC SSAD ASA What Is a density independent factor that sometimes helps trees reproduce ? 679/1327+677-x/1329+675-x/1331+673-x/1333=4